What it the mediam of 1 3 1 3 1 7 4 5 7

Answers

Answer 1

Answer: 1

Step-by-step explanation: It is the middle of the sequence, so you basically count until you find the middle

Answer 2
To find the median of a set of numbers, we need to first arrange the numbers in order from smallest to largest.

1, 1, 3, 3, 4, 5, 7, 7

There are 8 numbers in the set, which is an even number. In this case, the median is the average of the two middle numbers.

The two middle numbers are 3 and 4, so the median is (3 + 4) / 2 = 3.5.

Therefore, the median of the set {1, 3, 1, 3, 1, 7, 4, 5, 7} is 3.5.

Related Questions

Jordan is looking for a new place to live. She saw an ad in the paper and went to
the apartment building to look at the available unit. There, she met Steve, the
person who manages the property. Steve's jobs include collecting rent, making
small repairs, and screening the people who answers the ads. The rent checks
are to be made to Dave, the owner of the building. Jordan loves the apartment
and is approved to sign the lease and move in.
In this scenario, Steve is the:
O Real estate agent
O Tenant
O Landlord
O Property manager

Answers

Based on the given scenario, Steve who manages the property is a real estate agent.

The correct answer choice is option A

Who is a real estate agent?

A real estate agent is a person who serves as n intermediary between tenant and landlord, buyers and sellers of properties. They collect rent, make little repairs and screen interested people. The real estate agent receives their reward based on commission, that is, a particular percentage of the property.

Therefore, Jordan is the tenant, Dave is the landlord and Steve is the real estate agent.

Read more on real estate agent:

https://brainly.com/question/1155381

#SPJ1

the box plots below show the heights (in centimeters) of the players on the university of maryland women's basketball and field hockey teams. 2 horizontal boxplots titled basketball team and field hockey team are graphed on the same horizontal axis, labeled height, in centimeters. the boxplot titled basketball team has a left whisker which extends from 165 to 173. the box extends from 173 to 191 and is divided into 2 parts by a vertical line segment at 188. the right whisker extends from 191 to 203. the boxplot titled field hockey team has a left whisker which extends from 157 to 160. the box extends from 160 to 168 and is divided into 2 parts by a vertical line segment at 163. the right whisker extends from 168 to 178. all values estimated. which pieces of information can be gathered from these box plots? choose all answers that apply: choose all answers that apply: (choice a) the basketball players are taller on average. a the basketball players are taller on average. (choice b) the heights of the basketball players vary noticeably more than those of the field hockey team. b the heights of the basketball players vary noticeably more than those of the field hockey team. (choice c) none of the above c none of the above

Answers

Pieces of information can be gathered from these box plots are:

(a) On average, the basketball players are taller.

(b) The heights of the basketball players vary noticeably, more than field hockey team.

What is indetail explaination of the both answer?

From the given information, we can gather the following pieces of information:

(a) The basketball players are taller on average. This can be inferred from the fact that the median (the vertical line segment within the box) of the basketball team's heights (188 cm) is higher than the median of the field hockey team's heights (163 cm).

(b) The heights of the basketball players vary noticeably more than those of the field hockey team.

This can be inferred from the interquartile range (IQR) of the basketball team's heights, which is from 173 cm to 191 cm (a difference of 18 cm), and the IQR of the field hockey team's heights, which is from 160 cm to 168 cm (a difference of 8 cm).

Additionally, the whiskers of the basketball team's boxplot are longer than those of the field hockey team's boxplot, indicating that there is greater variability in the heights of the basketball players.

Therefore, the correct answers are (a) the basketball players are taller on average and (b) the heights of the basketball players vary noticeably more than those of the field hockey team.

Learn more about box plots.

brainly.com/question/30162059

#SPJ11

The recipe for one batch of
chocolate chip cookies calls
for 11/3 cups of chocolate
chips. Luca made 3½ batches
of cookies. How many cups of
chocolate chips did he use?

Answers

Answer:

Step-by-step explanation:

1 + 1 divided by 3 x 3.5 = 4.66 or 4 2/3

If you are trying to determine if an input variable may affect your key characteristic (output variable) by examining the correlation between variables, which tool should you use?
A. X-bar and R chart
B. p-chart
C. Pareto chart
D. Scatter plot diagram
E. Affinity diagram

Answers

If you are trying to determine if an input variable may affect your key characteristic (output variable) by examining the

correlation between variables, you should use the tool: D. Scatter plot diagram. therefore, option D.Scatter plot

diagram is correct.

A scatter plot diagram is a graphical representation of the relationship between two variables. It can help you visualize

the correlation between the input and output variables, making it easier to determine if there is a potential cause-and-

effect relationship.

The tool that you should use to examine the correlation between variables is D. Scatter plot diagram.

A scatter plot diagram is a graphical representation that displays the relationship between two variables.

The x-axis represents the input variable, while the y-axis represents the output variable.

By plotting the data points on the scatter plot diagram, you can visually analyze the correlation between the variables.

If there is a strong positive or negative correlation between the variables, it suggests that the input variable may affect

the key characteristic (output variable).

for such more question on Scatter plot diagram

https://brainly.com/question/31209398

#SPJ11

D. Scatter plot diagram is the tool that should be used to examine the correlation between variables to determine if an input variable may affect your key characteristic (output variable).

The scatter plot diagram is a graphical representation that displays the relationship between two variables, and it is commonly used to identify patterns, trends, and correlations between variables. By examining the scatter plot diagram, you can determine whether there is a positive, negative, or no correlation between the variables, which can help you to identify potential cause-and-effect relationships.
 To determine if an input variable may affect your key characteristic (output variable) by examining the correlation between variables, you should use:

A scatter plot diagram is a graphical tool that helps visualize the relationship between two variables, allowing you to identify any correlation between the input and output variables.

to learn more about scatter plot diagram click here:

https://brainly.com/question/31170044

#SPJ11

An item is regularly priced at 50 It is now priced at a discount of 70% off the regular price. What is the price now

Answers

Answer: $15

Step-by-step explanation:

If you have a 70% coupon for a $50 item, that means you are only paying 30% of the normal price.

0.3 x 50 = 15

The item will cost $15

Eight identical lights are connected in series across a 110-V line. What is the voltage across each bulb? If the current is 0.56A , what is the resistance of each bulb? If the current is 0.56A , what is the power dissipated in each?

Answers

The resistance of each bulb that is connected in series with a 110 V line is 24.55 Ω with a 13.75 V Voltage difference across each bulb. The power dissipated in each bulb is 7.7 W, if 0.56 A current flows through them.

The voltage across 8 identical bulbs is 110 V

Since they are connected in a series and identical, the Voltage difference across each bulb is [tex]\frac{110}{8}[/tex] V which is 13.75 V

According to the question,

The current flowing through the bulb = 0.56 A

So according to Ohm's Law,

V = IR

13.75 = 0.56 * R

R = 24.55 Ω

The power dissipated in each bulb can be calculated as

P = VI

P = 13.75 * 0.56 = 7.7 W

Learn more about Ohm's Law:

https://brainly.com/question/19892453

#SPJ4

In summary, the voltage across each bulb is 13.75V, the resistance of each bulb is 24.55Ω, and the power dissipated in each bulb is 7.7W.

When eight identical lights are connected in series across a 110-V line, the voltage across each bulb will be 110/8 = 13.75 V.
To find the resistance of each bulb, we can use Ohm's law, which states that resistance is equal to voltage divided by current (R = V/I). Therefore, the resistance of each bulb is 13.75/0.56 = 24.55 ohms.
To find the power dissipated in each bulb, we can use the formula P = VI, where P is power, V is voltage, and I is current. Therefore, the power dissipated in each bulb is 13.75 x 0.56 = 7.7 watts.
To find the voltage across each bulb, divide the total voltage by the number of bulbs:

Voltage across each bulb = Total Voltage / Number of Bulbs = 110V / 8 = 13.75V per bulb

Next, use Ohm's Law to find the resistance of each bulb:

Resistance (R) = Voltage (V) / Current (I) = 13.75V / 0.56A = 24.55Ω per bulb

Finally, find the power dissipated in each bulb using the formula:

Power (P) = Voltage (V) x Current (I) = 13.75V x 0.56A = 7.7W per bulb

To learn more about voltage visit;

https://brainly.com/question/29445057

#SPJ11

which type of proposition claims the most knowledge due to the fact that both of its terms are distributed

Answers

In both cases, the subject term (S) and the predicate term (P) are distributed, which means that the proposition makes a claim about the entire class of S and the entire class of P.

Traditional categorical logic, a proposition with both of its terms (subject and predicate) distributed is called a universal proposition.

Stronger claim than a particular proposition.

A universal proposition is a statement that applies to all members of a category or class.

Asserts that the subject term is either entirely included or entirely excluded from the predicate term.

There are two types of universal propositions:

Universal affirmative proposition (A): All S are P.

Universal negative proposition (E): No S are P.

"All mammals are warm-blooded" is a universal affirmative proposition (A) because it claims that the subject term (mammals) is entirely included in the predicate term (warm-blooded).

It distributes both terms and claims the most knowledge.

For similar questions on Proposition

https://brainly.com/question/28518711

#SPJ11

Use the functions f(x)=√x+1, g(x)=2x-5, and h(x) = 3x² - 3 to complete the table.
x
4
10
20
34
52
f(g(x))

Answers

Answer:

To find the values of f(g(x)) for the given values of x, we need to first evaluate g(x) for each value of x, and then plug the result into f(x).

Using the given functions:

g(x) = 2x - 5

f(x) = √(x+1)

Therefore, we have:

f(g(x)) = √(g(x) + 1) = √(2x - 5 + 1) = √(2x - 4) = 2√(x - 2)

So, we can complete the table as follows:

x f(g(x))

4 2

10 4

20 6

34 8

52 10

Therefore, the completed table is:

x f(g(x))

4 2

10 4

20 6

34 8

52 10

Find the exact value of cos a, given a=-3/7 and a is in quadrant 4

Answers

Answer:

9.955

Step-by-step explanation:

Jerald is having drain issues at his home and decides to call a plumber. The plumber charges $35 to come to his house and $50 for every hour they work. If the plumber charges Jerald a total of $190, how many hours did the plumber work?

Write and solve an equation to determine the number of hours worked by the plumber.

Answers

After solving equation , the plumber put in 3.1 hours of work (or 3 hours, 6 minutes).

what is equation?

A mathematical assertion that demonstrates the equality of two expressions is called an equation The equals symbol (=) is used to denote the separation of two phrases. Numerous mathematical ideas and relationships, including linear functions, quadratic functions, and trigonometric functions, can be represented by equations.

Let's use the letter 'h' to indicate how many hours the plumber put in.

The plumber costs $35 to come to Jerald's residence and $50 for every hour they work. If Jerald is charged a total of $190 by the plumber, the following equation can be written:

$50h + $35 = $190

To solve for 'h,' we obtain:

$50h = $190 - $35

$50h = $155

h = 155 / 50

h = 3.1

Consequently, the plumber put in 3.1 hours of work (or 3 hours, 6 minutes).

To know more about equation visit:

brainly.com/question/29657983

#SPJ1

what is the probability that a simple random sample of 50 ten-gram portions results in a mean of at least 3.6 insect fragments? is this result unusual? what might we conclude?

Answers

a) The probability that a simple random sample of 50 ten-gram portions results in a mean of at least 3.6 insect fragments is approximately 0.027.

b) This result is somewhat unusual, as only about 2.7% of samples would be expected to have a mean of at least 3.6 insect fragments. However, it is not necessarily a cause for concern, as it is within the range of expected variation.

c) More information about the distribution of insect fragments in the population and the context in which the samples were collected would be needed to draw more definitive conclusions.

To answer this question, we would need to know the distribution of insect fragments in the population from which the samples are drawn. Let's assume that this distribution is approximately normal with a mean of 3.2 insect fragments and a standard deviation of 0.8 insect fragments, as suggested by FDA guidelines for chocolate.

The distribution of the sample means for samples of size n can be approximated by a normal distribution with mean µ and standard deviation σ/√n. In this case, µ = 3.2 and σ/√n = 0.8/√50 = 0.113.

To find the probability that a sample of 50 ten-gram portions has a mean of at least 3.6 insect fragments, we need to find the area under the normal curve to the right of 3.6. Using a standard normal distribution table or a calculator, we find that this probability is approximately 0.027.

This result is somewhat unusual, as only about 2.7% of samples would be expected to have a mean of at least 3.6 insect fragments. However, it is not necessarily a cause for concern, as it is within the range of expected variation. If the sample mean was much higher, say 4.0 or 4.5, it would be more concerning and warrant further investigation.

Learn more about probability here

brainly.com/question/11234923

#SPJ4

you have a six-sided die t hat youroll once and observe the number of dotsfacing up,vards. \t\fhat is the sample space?\i\fhat is the probability of each sample outcome? \i\fhat is the probability of e, theevent that t he roll is even?

Answers

The sample space is {1, 2, 3, 4, 5, 6}.

The probability of each sample outcome is 1/6.

The probability of the event that the roll is even is 1/2.

if a contingency table has nine rows and columns, how many degrees of freedom are there for the test for independence?

Answers

There are 64 degrees of freedom for the test for independence in this contingency table.

To find the degrees of freedom for a test for independence in a contingency table, you can use the following formula:
Degrees of freedom (df) = (number of rows - 1) * (number of columns - 1).
In your case, the contingency table has nine rows and nine columns. Using the formula:
df = (9 - 1) * (9 - 1)
df = 8 * 8
df = 64.

In a contingency table, the degrees of freedom (df) for the test of independence are calculated as:

df = (number of rows - 1) x (number of columns - 1)

In this case, the contingency table has nine rows and nine columns, so the degrees of freedom are:

df = (9-1) x (9-1) = 64

This means that there are 64 degrees of freedom for the test of independence.

Degrees of freedom are important because they determine the critical values for the test statistic, which in turn affects the decision to reject or fail to reject the null hypothesis.

In general, as the degrees of freedom increase, the critical values decrease, making it easier to reject the null hypothesis.

For similar question on degrees.

https://brainly.com/question/10772327

#SPJ11

There are 64 degrees of freedom for the test for independence in a contingency table with nine rows and columns.

To determine the degrees of freedom for the test for independence in a contingency table with nine rows and columns, we use the formula df = (r-1)(c-1), where r is the number of rows and c is the number of columns.

Substituting in the values, we get:df = (9-1)(9-1)df = 8 x 8df = 64A contingency table is a table that shows the frequency distribution of two or more categorical variables.

A test for independence is a statistical test that checks whether the variables are related or not.

Therefore, there are 64 degrees of freedom for the test for independence in a contingency table with nine rows and columns.

to learn more about contingency table click here:

brainly.com/question/30407883

#SPJ11

Here is a recipe for $$ cupcakes. • Terrance has $$ cup of flour and $$ eggs. • Duri has $$ cups of flour and $$ grams of butter. • Habib has $$ cups of milk and $$ cups of sugar. • Anika has $$ cup of sugar and $$ cups of milk. If each person has enough of all the other ingredients, how many cupcakes could they make on their own?

Answers

Duri can make 72 cupcakes on his own and Habib can make 36 cupcakes on her own, assuming they have enough of all the other ingredients.

To determine how many cupcakes each person can make on their own, we need to check if they have enough of all the other ingredients required to make 12 cupcakes.

Terrance has 1 cup of flour and 6 eggs, which is not enough to make 12 cupcakes.

Duri has 12 cups of flour and 1000 grams of butter, which is more than enough to make 12 cupcakes. However, the recipe requires 3/4 cup of sugar, 2 eggs, and 3/4 cup of milk, which we do not know if Duri has enough of.

Habib has 3 cups of milk and 6 cups of sugar, which is enough to make 12 cupcakes.

Anika has 1 cup of sugar and 4 cups of milk, which is not enough to make 12 cupcakes.

Therefore, only Duri and Habib have enough ingredients to make 12 cupcakes on their own.

To determine how many cupcakes they can make, we need to calculate how much of each ingredient is required for one cupcake and then divide the available ingredients by that amount.

For one cupcake, we need:

1/6 cups of flour

1/16 cup of sugar

1/6 eggs

1/16 cups of milk

125/12 grams of butter

Duri has 12 cups of flour and 1000 grams of butter, which is enough to make 72 cupcakes. Habib has 6 cups of sugar and 3 cups of milk, which is enough to make 36 cupcakes.

To learn more about quantity click on,

https://brainly.com/question/28909355

#SPJ4

Help asap I’m so lost

Answers

The equation when solved for b gives ± 7√a/3. Option C

What are algebraic expressions?

Algebraic expressions are defined as expressions that are composed of terms, variables, constants, coefficients and factors.

They are also composed of arithmetic operations, such as;

AdditionBracketParenthesesSubtractionMultiplicationDivision

From the information given, we have;

9ab² = 49

To determine the value of b, take the following steps

Divide both sides by 9a

b² = 49/9a

Now, find the square root of both sides, we have;

b = [tex]\sqrt{\frac{49}{9a} }[/tex]

b = ± 7√a/3

Learn more about algebraic expressions at: https://brainly.com/question/4344214

#SPJ1


Quadrilateral H'I'J'K' is a translation of quadrilateral HIJK. Write the translation rule. picture above

Answers

Since quadrilateral H'I'J'K' is a translation of quadrilateral HIJK, the translation rule include the following: (x, y)  → (x - 8, y + 10).

What is a translation?

In Mathematics, the translation of a graph to the left is a type of transformation that simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation of a graph to the right is a type of transformation that simply means adding a digit to the value on the x-coordinate of the pre-image.

By translating the pre-image of quadrilateral HIJK horizontally left by 8 units and vertically up by 10 units, the coordinate J of quadrilateral H'I'J'K' include the following:

(x, y)                               →                  (x - 8, y + 10)

J (8, -2)                        →                  (8 - 8, -2 + 10) = J' (0, 8).

Read more on translation here: brainly.com/question/26869095

#SPJ1

a qc inspector wanted to analyze fraction of gears non-conforming. he wanted to create a p chart. he found that for the sample size of 250, there are 28 gears did not satisfy the specification. what is the fraction nonconforming?

Answers

The fraction nonconforming for this sample is 0.112, or 11.2%.

This is the value that the QC inspector can use to create a p-chart for analyzing the gears' non-conformance.

To calculate the fraction nonconforming, we'll use the following formula:
Fraction nonconforming = Number of nonconforming items / Total sample size
In this case, the number of nonconforming items is 28 gears, and the total sample size is 250 gears.

Now, let's plug in the numbers:
Fraction nonconforming = 28 / 250
Now, we'll divide 28 by 250:
Fraction nonconforming = 0.112

For similar question on fraction.

https://brainly.com/question/29369267

#SPJ11

which of the following is not one of the assumptions that should be met before conducting an independent groups t-test? the dependent variable should be measured on at least an interval level scale. the dependent variable scores should be normally distributed in their parent populations. the samples should have the same number of participants.the samples should be randomly selected.

Answers

The assumption that should not be met before conducting an independent groups t-test is that the samples should have the same number of participants.

How to find the assumption that should not be met before conducting an independent groups t-test?

An independent groups t-test is a statistical test used to compare the means of two independent groups of data. Before conducting this test, there are several assumptions that should be met to ensure the validity of the results. The first assumption is that the dependent variable should be measured on at least an interval level scale.

This means that the values of the dependent variable should be meaningful and can be compared using mathematical operations such as addition and subtraction. The second assumption is that the dependent variable scores should be normally distributed in their parent populations. This means that the distribution of scores should resemble a bell-shaped curve, with most scores clustering around the mean and fewer scores at the tails.

The third assumption is that the samples should be randomly selected to ensure that the sample is representative of the population from which it was drawn. The fourth assumption is that the samples should have approximately equal variances to ensure that the test is not biased towards one sample over the other. If any of these assumptions are violated, the results of the t-test may not be reliable.

Learn more about t-test

brainly.com/question/15870238

#SPJ11

In a class of students, the following data table summarizes how many students passed a test and complete the homework due the day of the test. What is the probability that a student who did not complete the homework passed the test?

Answers

The probability that a student who did not complete the homework passed the test is 0.25.

Helpp (30,60,90) and (45,45,90) but in radical form

Answers

Answer:

In its simplest form, the ratios of the length of sides in a 45 45 90 special right angle triangles should be 1 : 1 : 2 1:1:\sqrt{2} 1:1:2on:

And because this is a 30-60-90 triangle, and we were told that the shortest side is 8, the hypotenuse must be 16 and the missing side must be 8 * 3 , or 8 3 . Our final answer is 8√3

A new club sent out 200 coupons to boost sales for next year's memberships. They provided 3 times as many to potential members than to existing members. How many coupons did they send to existing members?

Answers

the new club sent out 50 coupons to existing members and 150 coupons to potential members to boost sales for next year's memberships.

How to solve the question?

Let x be the number of coupons sent to existing members. Then the number of coupons sent to potential members is 3x, as they provided 3 times as many coupons to potential members than to existing members.

According to the problem, the total number of coupons sent is 200. Therefore, we can write the following equation:

x + 3x = 200

Simplifying this equation, we get:

4x = 200

Dividing both sides by 4, we get:

x = 50

Therefore, the number of coupons sent to existing members is 50, and the number of coupons sent to potential members is 3 times as many, or 150.

In conclusion, the new club sent out 50 coupons to existing members and 150 coupons to potential members to boost sales for next year's memberships.

To know more about sales visit :-

https://brainly.com/question/24951536

#SPJ1

Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting triangles is 20 inches long. What is the side length of each piece?

1. 10√2
2. 20√2
3. 10√3
4. 20√3​​​

Answers

Answer:

The correct answer is:

10√2

Explanation:

In a right triangle, the hypotenuse is the side opposite the right angle and is also the longest side. The other two sides are called the legs.

In this problem, the hypotenuse of the resulting triangles is given as 20 inches. Since the quilt squares are cut on the diagonal to form triangular quilt pieces, the hypotenuse of each triangle is formed by the diagonal cut of a square.

Let's denote the side length of each square as "s" inches.

According to the Pythagorean Theorem, which relates the sides of a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs.

In this case, the hypotenuse is 20 inches, so we have:

20^2 = s^2 + s^2 (since the two legs of the right triangle are the sides of the square)

400 = 2s^2

Dividing both sides by 2, we get:

200 = s^2

Taking the square root of both sides, we get:

s = √200

Since we are looking for the side length of each piece in simplified radical form, we can further simplify √200 as follows:

√200 = √(100 x 2) = 10√2

So, the side length of each quilt piece is 10√

The side length of each piece of the triangular pieces of quilt cut from squares will be 10√2 inches.

This is a simple mathematics problem that can be solved using the Pythagoras theorem. This theorem states that in a right-angled triangle, the square root of the sum of the two perpendicular sides (p,b) is equal to the longest side, called the hypotenuse (h).

[tex]h = \sqrt{p^2 + b^2}[/tex]

Since the triangle pieces have been cut from a square, they will be right-angled triangles, and the two perpendicular sides will be equal, i.e., p = b.

20 = √2p²  (since p and b are equal, b can be taken as p)

On squaring both sides,

400 = 2p²

p² = 400/2

p² = 200

p = √200

p = 10√2 = b

To know more about Pythagoras theorem,

https://brainly.com/question/28981380

Directions: Find the simplest ratio given a scenario.
1. A designated hitter made 10 hits in 15 games. Find the simplest ratio of hits to games.

Answers

The simplest ratio of hits to games is 2:3.

What are proportions?

In mathematics, a proportion is a statement that two ratios are equal. It expresses the relationship between two or more quantities that are directly proportional to each other. A proportion can be represented as an equation of the form:

a/b = c/d

The simplest ratio of hits to games can be found by dividing the number of hits by the number of games:

Hits/Games = 10/15

To simplify this ratio, we can divide both the numerator and denominator by their greatest common factor, which in this case is 5:

Hits/Games = (10/5) / (15/5) = 2/3

Therefore, the simplest ratio of hits to games is 2:3.

To learn more about proportions from the given link:

brainly.com/question/26617614

#SPJ1

First person to help me on this will be rewarded plsss

Answers

The compound interest investment earns more interest than the simple interest investment, and the difference becomes more significant over time.

After 10 years, the difference is relatively small, but after 20 years, the compound interest investment has earned over $3,700 more than the simple interest investment.

What are the amounts after 10 and 20 years of the investment?

To calculate the amount after 10 and 20 years, we can use the following formulas:

Simple Interest: A = P * (1 + r * t)

Compound Interest: A = P * (1 + r/n)^(n*t)

Where:

A is the amount after t yearsP is the principal amount (the initial investment)r is the annual interest rate (as a decimal)n is the number of times the interest is compounded per yeart is the time in years

Using these formulas and the information given in the table, we can calculate the amount after 10 years and 20 years for each type of investment.

For simple interest, the interest is not compounded, so we just add the interest to the principal:

Amount after 10 years: A = $50,000 * (1 + 0.0275 * 10) = $68,750

Amount after 20 years: A = $50,000 * (1 + 0.0275 * 20) = $87,500

For compound interest, we need to use the formula above with n=12 (since the interest is compounded monthly):

Amount after 10 years: A = $50,000 * (1 + 0.0275/12)^(12*10) = $68,704.23

Amount after 20 years: A = $50,000 * (1 + 0.0275/12)^(12*20) = $91,262.47

To compare the two investments, we can look at the difference between the amounts after 10 and 20 years:

Difference after 10 years: $68,750 - $68,704.23 = $45.77

Difference after 20 years: $87,500 - $91,262.47 = $3,762.47

Learn more about simple and compound interest at: https://brainly.com/question/2277782

#SPJ1

A class has 8 students who are to be assigned seating randomly. What is the
probability that the students will be arranged in order from shortest to tallest? Show
your work

Answers

The probability that the students will be arranged in order from shortest to tallest is 1/(8!) or 1/40320.

What is student?

Student is an individual who is enrolled in an educational institution such as a university, college, or a trade school. A student typically takes courses in order to further their knowledge and skills, to prepare for further education or training, or to receive credentials necessary to pursue a job or career. Students can include both full-time and part-time learners. Depending on the institution, a student may also be referred to as a pupil, student-athlete, or scholar. Students can also take part in a variety of student-led activities and organizations, both on-campus and off-campus.

This is because there are 8! (8 factorial) ways in which the students can be arranged in order from shortest to tallest.
Therefore, the probability of any one arrangement is 1/8!  
Thus, the probability of the students being arranged in order from shortest to tallest is 1/8! or 1/40320.

To learn more about probability
https://brainly.com/question/24756209
#SPJ1

a bank wishing to increase its customer base advertises that it has the fastest service and that virtually all of its customers are served in less than 11 minutes. a management scientist has studied the service times and concluded that service times are exponentially distributed with a mean of 4.5 minutes. determine what the bank means when it claims 'virtually all' its customers are served in under 11 minutes.

Answers

The bank's claim is exaggerated and not entirely accurate.

The bank's claim that virtually all of its customers are served in less than 11 minutes is misleading, as it implies that almost all customers are served in 11 minutes or less. However, based on the given information that service times follow an exponential distribution with a mean of 4.5 minutes, we can calculate the probability that a customer will be served in less than 11 minutes using the cumulative distribution function of the exponential distribution:

P(X < 11) = 1 - [tex]e^{(-11/4.5)[/tex] = 0.956

This means that approximately 95.6% of customers will be served in less than 11 minutes, not "virtually all." Therefore, the bank's claim is exaggerated and not entirely accurate.

Learn more about exponential distribution

https://brainly.com/question/13339415

#SPJ4

The angle of elevation from point A to the top of a hill is 49°. If point A is 400 feet from the base of the hill, how high is the hill? Round to the nearest tenth.

1. 460.1 ft
2. 301.9 ft
3. 262.4 ft
4. 459.3 ft​​

Answers

The height of the hill for the given angle of elevation through which the given condition is satisfied is 460.1 ft

What about angle of elevation?

The angle of elevation is the angle between the horizontal plane and the line of sight or the direction of the observer's line of sight above the horizontal plane. It is measured upwards from the horizontal plane to the object being viewed. The angle of elevation is typically used in trigonometry and geometry to calculate the height, distance, or length of an object or location.

According to the given information:

Given, The given angle of elevation from point A to the top of a hill is [tex]49^{0}[/tex].

As, we know tan (x) = [tex]\frac{perpendicular}{base}[/tex]

tan [tex]49^{0}[/tex] = [tex]\frac{unknown}{400}[/tex]

1.15 x 400 = unknown

So, the unknown = 460.1 ft

To know more about angle of elevation visit:

https://brainly.com/question/28492686

#SPJ1

tom can type a report in 3 hours and nelson takes 5 hours. how long will it take the two of them typing together?

Answers

It will take Tom and Nelson 1.875 hours, or 1 hour and 52.5 minutes, to complete the report working together.

How to know work done together?

To solve this problem, we can use the concept of work done. Let's assume that a report is a unit of work, and Tom and Nelson each do a fraction of the work in one hour.

Tom can do the entire report in 3 hours, which means he can do 1/3 of the report in one hour. Similarly, Nelson can do 1/5 of the report in one hour.

If they work together, the fraction of the report they can do in one hour is the sum of their individual fractions:

1/3 + 1/5 = 8/15

So, together they can do 8/15 of the report in one hour. To find out how long it will take them to do the entire report working together, we can use the formula:

time = work ÷ rate

where work is 1 (the whole report) and rate is 8/15 (the fraction of the report they can do in one hour).

time = 1 ÷ (8/15)

time = 1.875 hours

Therefore, it will take Tom and Nelson 1.875 hours, or 1 hour and 52.5 minutes, to complete the report working together.

Learn more about ratio and proportion

brainly.com/question/29774220

#SPJ11

what equation represent

Answers

Answer: I'll have to say it's C or D but I think it's D

Hope it helped :D

What is the volume of a sphere with a diameter of 6. 3 cm, rounded to the nearest tenth of a cubic centimeter?

Answers

Step-by-step explanation:

Volume of a sphere is given by the formula

4/3 pi r^3       diameter = 6.3 cm  so radius, r = 3.15 cm

4/3 * pi * (3.15)^3 = 130.9 cm^3

Other Questions
how to tell the diffrence between a procariotic cell and a eucariotic cell Use the times and corresponding closing prices of the stock to create coordinate pairs. Let x represent the number of weeks since the first data point, and let y represent the closing price at each time. So, x = 0 represents the data point from 5 years ago. There are 52 weeks in a year, and you can write the time for each closing price recorded in terms of weeks that have passed since 5 years ago, when x = 0. Fill in the table to represent your data as coordinate pairs. x (Weeks Since 5 Years Ago) y (Closing Price, in $)most recent 260 7 days ago 259 1 month ago 256 6 months ago 234 1 year ago 208 3 years ago 104 5 years ago 0 true or false . The Reading feature "When Friends Get in the Way," suggests that our 24/7 social connectivity with close friends can get in the way of the development of romantic relationships. amtel university decides to keep a record of their student data in a backup server. the administrator contacts you to identify the right command interface protocol to be used in this. which command interface protocol should you advise? a. ssh b. ssl c. https d. tls A box of chocolates contains five milk chocolates, three dark chocolates, and four white chocolates. You randomly select and eat three chocolates. The first piece is milk chocolate, the second is white chocolate, and the third is milk chocolate. Find the probability of this occuring.A. 28/165B. 1/8C. 180/1331D. 2/33 Why did the U.S. government decide not to take action when South Carolina first seceded from the Union?What happened later that ultimately resulted in an armed conflict? What did President Lincoln do to try to avoid this conflict? Phosphorus (P4) and oxygen react to produce diphosphorus pentoxide. How many grams of diphosphorus pentoxide are produced from the reaction of 38.76 grams of oxygen with excess phosphorus? Round your answer to the hundredths of a gram. Do not include units. Use the atomic masses in this PERIODIC TABLE. DO NOT ROUND THESE MASSES IN YOUR CALCULATION. how is desertification being countered in inner mongolia? CASE STUDY AAcute PainL.Y. is a healthy 13-year-old who had all her wisdom teeth removed 6 hours ago and is experiencing significant pain. She has been prescribed acetaminophen and codeine for pain relief and is at home recovering. Her mother wants her to rest and stop text- messaging her friends about her dental surgery.1. How do acetaminophen and codeine act to reduce pain? What is a side effect of high levels of each drug? Why has the dentist prescribed only a limited supply of the medication?2. How does L.Y.'s text-messaging behavior affect her perception of pain?3. Does L.Y. need to rest in bed quietly to reduce pain? 4. L.Y. becomes increasingly irritated with her mother and tells her to "get off my case." How does L.Y.'s stress affect pain perception? another name for the epicardium is the layer of the serous pericardium Real estate investors: a. may be active or passive investors, depending upon whether they take an equity or a debt positionb. always depend upon income tax benefits to make the investment successful. c. are required to exercise stand-by loan commitments. d. either directly or indirectly, purchase rights to a stream of future cash flows. Which of the following is a principle of a patient-centered medical home (PCMH)? (Select all that apply) providing for all of a patient's health care needs or appropriately arranging care with other qualified professionals. the personal physician leads a team of individuals in the practice who take responsibility for the ongoing care of patients. care is coordinated and integrated across all elements of the delivery system (subspecialty, hospital, home, nursing home), facilitated by electronic record registries use of electronic health information technology for patient communication is discouraged A $1,000 bond with a coupon rate of 5.4% paid semiannually has two years to maturity and a yield to maturity of 9%. If interest rates rise and the yield to maturity increases to 9.3%, what will happen to the price of the bond? A. fall by $6.16 B. fall by $5.14 C. rise by $5.14 D. The price of the bond will not change. liberty corp. receives rent in advance of $100,000 in year 1. the timing difference is expected to reverse $40,000 in year 2 and $60,000 in year 3. the enacted tax rates are 20% in year 1, 25% in year 2, and 30% in year 3. what is the amount in the deferred tax asset account at december 31, year 1? What major characteristics should be explored when consideringthe major sources of long-term financing? the concept that recognizes the present value of a dollar received in the future is less than a dollar is the Suppose the risk free rate is 3.1% and the expected rate ofreturn to the market is 8.7%.If the stock xyz's has a rate of return 11.3% , what is stockxyz's beta?Answer to the nearest hundredth as i an investor would like to achieve monthly income from a mutual fund investment that has the highest level of principal protection available. a suitable recommendation is a 50 cm3 of wood is floating on water, and 50 cm3 of iron is totally submerged. which has the greater buoyant force on it? david is very stressed over college applications. he thinks that if he fails to get into the university of wisconsin his life is over. when his parents try to talk to him about other options, he yells at them and tells them that they just cannot understand. what aspect of adolescent thinking is david experiencing? question 11 options: a) hypothetical-deductive reasoning b) imaginary audience c) personal fable d) metacognition