HELP ASAP

5/10 of the students in sams class are girls of the girls 1/5 of them wear glasses what fraction of the students wear glasses

Answers

Answer 1

Answer:

1 student wears glasses

Step-by-step explanation:


Related Questions

Amy is sewing some pants for herself. This is the rule for how much fabric she needs to buy. • Measure from your waist to the finished length of thepants • Double this measurement • Add 8inches 1. Amy’s measurement from her waist to the finished length of the pants is 35inches. How many inches of fabric does sheneed?

Answers

Amy needs 78 inches of fabric for her pants if she follows the given rule.

Define inches ?

An inch is a unit of length that is equal to exactly 2.54 centimeters. It is commonly used in the United States and other countries that use the Imperial system of measurement.

To determine how much fabric Amy needs for her pants, we can use the rule provided to us. The first step is to measure from the waist to the finished length of the pants, which in this case is 35 inches.

Next, we need to double this measurement, which gives us 2 * 35 = 70 inches. This is because we need to account for the fabric that will make up both the front and back of the pants.

Finally, we need to add 8 inches to the doubled measurement, which gives us 70 + 8 = 78 inches. This additional 8 inches is to account for any seams, hems, or other finishing touches that may be required to complete the pants.

Therefore, Amy needs 78 inches of fabric for her pants.

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find the equation that is parallel to the line y=x+9 and passes through the point (-6,7).Write the equation in slope intercept form

Answers

Answer: -1

Step-by-step explanation:

First, determine your slope from the given equation y = x - 6

In slope intercept form: y = mx + b, the value for m is the slope.

By looking at "x", there is a coefficient of 1 and therefore 1 is the slope.

Since parallel lines have the same slope, use the slope 1 to rewrite a second eqaution using

the point-slope formula: y - y1 = m(x - x1) and the given point (-6,7)

y - y1 = m(x - x1)

y - (7) = 1 (x - (-6))        (Plug in values)

y -7   = 1(x +-6)            (Distribute negatives)

y -7  = -1x  -6             (Distribute 1 to both terms in the parentheses)

+ 6             +6              (add 6 from both sides)

  y = 1x - 1 OR y = x - 1  

Check your work by plugging in the given point to your equation:

y = x - 1

6 = 7 - 1                   (Plug in values)

7 = 7

Solve the trigonometric equation for all values -6π≤x≤6π
2sin(1/4)x=sqrt(3)

Answers

the solution set for the trigonometric equation is:{x | x = 8kπ/3 + π or x = 8kπ/3 + 5π, for all integers k, such that -6π ≤ x ≤ 6π}.

Trigonometric calculation.

First, we can isolate sin(1/4)x by dividing both sides by 2:

sin(1/4)x = sqrt(3)/2

To solve for x, we need to find all angles that have a sine of sqrt(3)/2. This corresponds to the 60-degree angle in the first quadrant and the 300-degree angle in the fourth quadrant. However, we need to take into account the period of the sine function.

The period of sin(1/4)x is 2π/(1/4) = 8π, which means that the function repeats every 8π. Therefore, the solutions for x are:

x = (2kπ + π/3)/ (1/4) or x = (2kπ + 5π/3)/ (1/4)

where k is an integer.

Simplifying, we get:

x = 8kπ/3 + π or x = 8kπ/3 + 5π

for all integers k, such that -6π ≤ x ≤ 6π.

Therefore, the solution set for the equation is:

{x | x = 8kπ/3 + π or x = 8kπ/3 + 5π, for all integers k, such that -6π ≤ x ≤ 6π}.

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On a trip, you had to change your money from dollars to euros.
You got 450
euros for 600
dollars.

What is a unit rate that describes the exchange?

Answers

Answer: 0.75 euros = 1 dollar

Step-by-step explanation:

Unit rate

450 euros ----> 600 dollars

450/600 = 0.75

0.75 euros = 1 dollar

Answer :

Uni rate for the exchange of dollars to euros is 0.75 euros/dollars.

Explanation :

[tex]\implies[/tex] To find the unit rate of exchange from dollars to euros, divide the amount of euros Monica received by the amount of dollars she paid:

[tex]\largearrow{\sf{\boxd{\boxed{Unit \ change = \dfrac{Number \ of \ euros \ you \got}{Number \ of \ dollars \ you \ have} }}}}[/tex]

[tex]\implies{\sf{Unit \ change = \dfrac{\cancel{450}}{\cancel{600}} }}[/tex]

[tex]\implies{\sf{Unit \ change = 0.75 }}[/tex]

As a result, the unit rate for the exchange of dollars to euros is 0.75 euros/dollar.

FINANCE Rawan deposits $13,000 into an account that pays 2.6% annual interest
compounded every 6 months.

a. Write a function to represent the balance A in the account after t years.

b. What will be the balance after 4 years?

c. What will be the balance after 7.5 years?

Answers

a) Required function is [tex]A(t) = 13,000 \times (1.013)^{2t}[/tex]

b) The balance after 4 years is $15,182.51.

c)The balance after 7.5 years is $16,802.59

a. What is the function represent the balance A in the account after t years?

The function to represent the balance A in the account after t years can be given by:

[tex]A(t) = P \times (1 + \frac{r}{n})^{(nt)}[/tex]

where P is the principal amount (initial deposit), r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.

In this case, P = $13,000, r = 2.6%, n = 2 (interest is compounded every 6 months), and t is the time in years.

Substituting these values into the formula,

[tex]A(t) = 13,000 \times (1 + \frac{ 0.026}{2})^{(2t)}[/tex]

Simplifying the expression,

[tex]A(t) = 13,000 \times (1.013)^{2t}[/tex]

b. To find the balance after 4 years, we can substitute t = 4 into the formula we derived above:

[tex]A(4) = 13,000 \times (1.013)^{(2 \times 4)} \\ = 13,000 \times (1.013)^8 \\ = 15,182.51[/tex]

Therefore, the balance after 4 years is $15,182.51.

c. To find the balance after 7.5 years, we can substitute t = 7.5 into the formula we derived above:

A(t) = 13,000 × (1.013)¹⁵ = 16,802.59

Therefore, the balance after 7.5 years is $16,802.59.

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dean halverson recently read that full-time college students study 20 hours each week. she decides to do a study at her university to see if there is evidence that students study an average of more than 20 hours each week. a random sample of 33 students were asked to keep a diary of their activities over a period of several weeks. it was found that the average number of hours that the 33 students studied each week was 22.2 hours. the sample standard deviation of 3.9 hours. find the p -value. the p -value should be rounded to 4-decimal places.

Answers

The p-value is 0.0001, indicating strong evidence that college students study more than 20 hours per week based on the sample data.

How to calculate the p-value?

To test the hypothesis that the average number of hours that college students study per week is greater than 20, we can use a one-sample t-test.

The null hypothesis is that the population mean is equal to 20 hours per week, while the alternative hypothesis is that the population mean is greater than 20 hours per week.

Let's calculate the t-value:

t = (sample mean - hypothesized population mean) / (sample standard deviation / √(sample size))

t = (22.2 - 20) / (3.9 / √(33))

t = 4.49

The degrees of freedom for the t-test is 33 - 1 = 32.

Using a t-table or calculator, we can find the p-value associated with a t-value of 4.49 and 32 degrees of freedom. The p-value is less than 0.0001 (it is actually very close to 0), which means that there is very strong evidence to reject the null hypothesis and conclude that college students study more than 20 hours per week.

Therefore, the p-value is 0.0001 (rounded to 4 decimal places).

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the average car can go 25 miles on one gallon of gas. You can write an equation to show the relationship between the amount of gas you buy and how far you can travel

Answers

Answer:

Step-by-step explanation:

the inword

help me please help answer the question below Do not round

Answers

Answer:

0.1296

Step-by-step explanation:

0.6*0.6=0.36

0.6*0.36=0.216

0.6*0.216=0.1296

#15 Please HELP!!!!!!!!!!!!!!!

Answers

The calculated measure of the arc PM is 19 degrees

Calculating the measures of the arc PM

From the question, we have the following parameters that can be used in our computation:

The circle

The angles created by secants and tangents that intersect outside a circle, which states that

The size of the angle formed by these two lines is equivalent to half the numerical difference between the measures of the arcs that they cut out from the circle.

So, we have

PM = 1/2 * (59 - 21)

Evaluate

PM = 19

Hence, the measure of the arc is 19 degrees

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What percentage of 6th graders and vinallia 60 perent

Answers

The number of students who like vanilla, butterscotch, and chocolate flavors are 36, 15, and 9 respectively.

The percentage of students who like vanilla flavor is 60%, which means

Number of students who like vanilla flavor = 60/100 x 60 = 36 students

Similarly, the percentage of students who like butterscotch flavor is 25%, which means

Number of students who like butterscotch flavor = 25 / 100 x 60 = 15 students

The remaining students like chocolate flavor

Number of students who like chocolate flavor = Total number of students - Number of students who like vanilla flavor - Number of students who like butterscotch flavor

= 60 - 36 - 15

= 9 students

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The given question is incomplete, the complete question is:

In a class of 60 students 60% like vanilla flavour ,25% like butterscotch and the remaining like chocolate flavour. Find the number of student who like vanilla, butterscotch and chocolate flavour respectively.

Janelle opened a savings account with $500 that earns 0.3% simple interest annually. After how many years will the balance in the account be $510.50?

Answers

It will take 7 years for Janelle's savings account balance to reach $510.50 at an annual interest rate of 0.3%.

What is simple interest?

The interest rate on a loan or investment is calculated using the original principal amount. It does not take into account the effects of compounding, hence the interest charge or payment does not alter over time. Simple interest can be applied to several sorts of loans or savings accounts. It is computed only on the basis of the principal.

We can use the formula for simple interest to solve this problem:

Simple Interest = Principal * Rate * Time

where Principal is the initial amount in the account, Rate is the annual interest rate, and Time is the number of years.

Let's use the given information to find the time it takes to reach a balance of $510.50:

Simple Interest = $510.50 - $500 = $10.50

Principal = $500

Rate = 0.3% = 0.003 (since the rate is given as a percentage, we need to divide by 100 to get the decimal equivalent)

Substituting these values into the formula, we get:

$10.50 = $500 * 0.003 * Time

Simplifying this equation, we get:

Time = $10.50 / ($500 * 0.003) = 7 years

Therefore, it will take 7 years for Janelle's savings account balance to reach $510.50 at an annual interest rate of 0.3%.

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Solve the right triangle. 5
6
F
E
D
30°
Write your answers in simplified, rationalized form. Do not round. DF =
DE =
10
m∠D =
60
°

Answers

The length of the other leg is 8 cm, and the measures of the two acute angles are approximately 36.87° and 53.13°.

To solve the right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Therefore, we have:

[tex]10^2 = 6^2 + x^2 \\x = sqrt(10^2 - 6^2) = 8 cm[/tex]

So the length of the other leg is 8 cm.

Let θ be one of the acute angles:

sin(θ) = opposite/hypotenuse = 6/10 = 0.6

cos(θ) = adjacent/hypotenuse = x/10 = 8/10 = 0.8

θ ≈ 36.87°.

Since the other acute angle is complementary to θ, its measure is 90° - 36.87° = 53.13°.

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--The complete Question is,  A right triangle has a hypotenuse of length 10 cm and one leg of length 6 cm. Solve the right triangle, finding the length of the other leg and the measures of the two acute angles. --

How many pair of numbers (x;y) that satisfy
log₃ (x² + y² + x) + log₂ (x² + y²) ≤ log₃ (x) + log₂ (x² + y² + 24x)

Answers

Answer:

We can simplify the given inequality using the properties of logarithms:

log₃ (x² + y² + x) + log₂ (x² + y²) ≤ log₃ (x) + log₂ (x² + y² + 24x)

log₃ [(x² + y² + x) / x] + log₂ [(x² + y²) / (x² + y² + 24x)] ≤ 0

log₃ [(x + y²) / x] + log₂ [(1 - 24x / (x² + y² + 24x))] ≤ 0

log₃ [(x + y²) / x] + log₂ [(x² + y² + 24x - 24x) / (x² + y² + 24x))] ≤ 0

log₃ [(x + y²) / x] + log₂ [(x² + y²) / (x² + y² + 24x))] ≤ 0

log₃ [(x + y²) / x] - log₂ [(x² + y² + 24x) / (x² + y²))] ≥ 0

log₃ [(x + y²) / x] - log₂ [(x + 24) / x] ≥ 0

log₃ [(x + y²) / x] ≥ log₂ [(x + 24) / x]

(x + y²) / x ≥ (x + 24) / x^2

x + y² ≥ x + 24

y² ≥ 24

y ≤ ± 2√6

Therefore, the system of inequalities that satisfies the given inequality is:

y ≤ 2√6, y ≥ -2√6

For each value of y between -2√6 and 2√6, there is a corresponding range of x values that satisfies the inequality.

For example, if y = 0, then the inequality simplifies to:

log₃ (x) + log₂ (x²) ≤ 0

log₃ x + 2 log₂ x ≤ 0

log₃ x + log₂ x² ≤ 0

log₆ x³ ≤ 0

x³ ≤ 1

x ≤ 1

So, if y = 0, then the possible values of x are:

0 < x ≤ 1

Thus, for each value of y between -2√6 and 2√6, there is a corresponding range of x values that satisfies the inequality.

Therefore, the total number of pairs (x,y) that satisfy the inequality is infinite, since there are infinitely many real numbers between -2√6 and 2√6, and each of these corresponds to a range of x values that satisfies the inequality.

Answer:

x

Step-by-step explanation:

To solve this inequality, we can use the properties of logarithms to simplify it. First, we can combine the two logarithms on the left side of the inequality using the product rule:

log₃[(x² + y² + x)(x² + y²)] ≤ log₃(x) + log₂(x² + y² + 24x)

Next, we can use the fact that logₐ(b) ≤ logₐ© if b ≤ c to simplify the right side of the inequality:

log₃[(x² + y² + x)(x² + y²)] ≤ log₃(x(x² + y² + 24x))

Now we can expand both sides of the inequality and simplify:

log₃(x⁴ + 2x³y² + x²y⁴ + x³ + xy²) ≤ log₃(x⁴ + 24x³)

Subtracting log₃(x⁴ + 24x³) from both sides gives:

log₃(x⁴ + 2x³y² + x²y⁴ + x³ + xy²) - log₃(x⁴ + 24x³) ≤ 0

Using the quotient rule for logarithms gives:

log₃[(x⁴ + 2x³y² + x²y⁴ + x³ + xy²)/(x⁴ + 24x³)] ≤ 0

Finally, we can use the fact that logₐ(b) ≤ 0 if and only if b ≤ 1 to solve for x and y:

(x⁴ + 2x³y² + x²y⁴ + x³ + xy²)/(x⁴ + 24x³) ≤ 1

Multiplying both sides by (x⁴ + 24x³) gives:

x⁴ + 2x³y² + x²y⁴ + x³ + xy² ≤ x⁴ + 24x³

Simplifying gives:

2x³y² + x²y⁴ + x³ - 24x³ ≤ -xy²

Rearranging terms gives:

xy² - 2x³y² - x²y⁴ - x³ + 24x³ ≥ 0

Factoring out an xy term gives:

xy(y - (2x)^(3/2))(y + (2x)^(3/2)) ≥ 0

This inequality holds when either y ≥ (2x)^(3/2) or y ≤ -(2x)^(3/2). Therefore, there are two pairs of numbers that satisfy this inequality for any given value of x.

I hope this helps!

what is the range and domain of y = 3x^2 + 2?

Answers

The domain of the function is (-∞, ∞) and the range of the function is [2, ∞).

Define range!

In mathematics, the range of a function refers to the set of all possible output values (dependent variable) that the function can produce for its corresponding input values (independent variable).

According to question:

The given function is y = 3x² + 2.

The domain of a function is the set of all possible values of the independent variable (x) for which the function is defined. Since the given function is a polynomial function, it is defined for all real numbers.

Therefore, the domain of the function y = 3x² + 2 is (-∞, ∞), which means that the function is defined for all real values of x.

The range of a function is the set of all possible values of the dependent variable (y) that the function can take. In this case, the function is a quadratic function with a leading coefficient of 3, which means that the parabola opens upwards and its vertex is at the point (0,2).

Since the minimum value of the function is 2, the range of the function is [2, ∞).

Therefore, the domain of the function is (-∞, ∞) and the range of the function is [2, ∞).

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Factor f(x) = 4x³ + 15x²-121x + 120 into linear factors given that -8 is a zero of f(x).
f(x) = 4x³ + 15x²-121x+120=
(Factor completely.)

Answers

The linear factors of f(x) are: f(x) = (x+8)(4x-7)(x+17/8)

Linear Factors

If -8 is a zero of the polynomial f(x), then (x+8) is a factor of f(x) by the Factor Theorem. We can use polynomial long division or synthetic division to find the other factor(s).

Using synthetic division:

-8  |  4   15   -121   120

   |_____-32____ 1280__

     4   -17    -193   1500

The result of synthetic division shows that the quotient is 4x^2 - 17x - 193, and the remainder is 1500. This means that:

f(x) = (x+8)(4x^2 - 17x - 193)

We can now factor the quadratic factor by using the quadratic formula or factoring by grouping:

4x^2 - 17x - 193 = 0

x = [17 ± sqrt(17^2 - 4(4)(-193))]/(2(4))

x = [17 ± sqrt(6569)]/8

x = [17 ± 81]/8

x = 14/8 or x = -17/8

The solutions are x = 7/4 and x = -17/8.

Therefore, the linear factors of f(x) are:

f(x) = (x+8)(4x-7)(x+17/8)

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which of the following is true with regards to statistical analysis? which of the following is true with regards to statistical analysis? bivariate analysis is a special form of multivariate analysis. it examines the relation between two or more variables. regression analysis is a univariate analysis. multivariate analysis examines the relationship between one, two or more variables. univariate analysis involves the analysis of a single variable.

Answers

The correct option is: "Univariate analysis involves the analysis of a single variable."

The following statement is true with regards to statistical analysis:

Univariate analysis involves the analysis of a single variable.

The other statements are not entirely accurate:

Bivariate analysis is a form of multivariate analysis that examines the relationship between two variables, but multivariate analysis can involve more than two variables.

Regression analysis is a multivariate analysis technique that examines the relationship between one dependent variable and one or more independent variables.

Multivariate analysis involves the examination of the relationship between two or more variables, not necessarily one, two, or more.

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Restaurant Revenue

In this activity, you will create quadratic inequalities in one variable and use them to solve problems. Read this scenario, and then use the information to answer the questions that follow.


Noah manages a buffet at a local restaurant. He charges $10 for the buffet. On average, 16 customers choose the buffet as their meal every hour. After surveying several customers, Noah has determined that for every $1 increase in the cost of the buffet, the average number of customers who select the buffet will decrease by 2 per hour. The restaurant owner wants the buffet to maintain a minimum revenue of $130 per hour.


Noah wants to model this situation with an inequality and use the model to help him make the best pricing decisions.


Part A

Question

Write two expressions for this situation, one representing the cost per customer and the other representing the average number of customers. Assume that x represents the number of $1 increases in the cost of the buffet.


Enter the correct answer in the box. Type the cost expression on the first line and the customer expression on the second line

Answers

The cost per customer becomes $( 10+ x) and the average number of customers can be represented as (16 - 2x). Also the inequality equation is 160 - 4x -2[tex]x^{2}[/tex]  [tex]\geq[/tex] 130 to maintain minimum revenue of $130 after rising price by x number of times by $1 as 2 customers leave on average per hour.

Let x represents the number of $1 increases in the cost of the buffet.

Noah manages a buffet at a local restaurant and charges  $10 for the buffet.

On average, 16 customers choose the buffet as their meal every hour.

That is, the average revenue from 16 customers is = $(10*16)= $160

After surveying Noah has determined that for every $1 increase in the cost of the buffet, the average number of customers who select the buffet will decrease by 2 per hour.

That is, as cost of buffet for every hour rises by $x from $10 we get, $ (10+x) , and the average number of customers who select the buffet will decrease by 2 per hour.

The new average number of customers per hour after rise in cost of buffet by $x is (16 -2x).

This implies, the revenue earned now is = $(16- 2x)(10 + x) = $(160 + 16x - 20x -2[tex]x^{2}[/tex] ) = $ (160 - 4x -2[tex]x^{2}[/tex] )

The restaurant owner wants the buffet to maintain a minimum revenue of $130 per hour.

Thus, after the increase in price by $x per hour , the inequality equation that helps Noah to pick best pricing decisions will be ,

160 - 4x -2[tex]x^{2}[/tex]  [tex]\geq[/tex] 130

Here, cost per customer becomes $( 10+ x) and the average number of customers can be represented as (16 - 2x).

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In an all boys school, the heights of the student body are normally distributed with a mean of 71 inches and a standard deviation of 4.5 inches. Out of the 1912 boys who go to that school, how many would be expected to be between 61 and 70 inches tall, to the nearest whole number?​

Answers

The range of heights between 66 inches and 76 inches indicates the center 95% of males' heights from this school.

What do we mean by interval?

All the numbers between two specific integers are referred to as an interval.

All actual values between those two are included in this range.

The class interval is calculated by deducting the upper limit from the class' lower limit.

The following is the formula for the class interval: Upper limit - Lower limit equals the class interval.

Let x represent the heights of the male students at this institution.

The Empirical Rule states that given the mean and standard deviation:

1) Approximately 68% of the x values fall within the range of the mean plus or minus one standard deviation.

2) Nearly 95% of the x values fall within the range of the mean plus or minus two standard deviations.

3) Nearly 99.7% of the x values fall within a range of 3 standard deviations either above or below the mean.

Considering the data provided:

mean = 71 inches

Standard deviation = 2.5 inches

We want to know where 95% of the x values fall. The variation from the mean is 2 standard deviations. Therefore,

2 standard deviations = 2 × 2.5 = 5 inches

Heights:

71 - 5 = 66 inches and

71 + 5 = 76 inches

Therefore, the range of heights between 66 inches and 76 inches indicates the center 95% of males' heights from this school.

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Complete question:

In an all-boys school, the heights of the student body are normally distributed with a mean of 71 inches and a standard deviation of 2.5 inches. Using the empirical rule, determine the interval of heights that represents the middle 95% of male heights from this school.

During a snowstorm, Annabelle tracked the amount of snow on the ground. When
the storm began, there were 3 inches of snow on the ground. Snow fell at a constant
rate of 1 inch per hour until another 4 inches had fallen. The storm then stopped for 6
hours and then started again at a constant rate of 2 inches per hour for the next 5
hours. As soon as the storm stopped again, the sun came out and melted the snow for
the next 7 hours at a constant rate of 2 inches per hour. Make a graph showing the
inches of snow on the ground over time using the data that Annabelle collected.

Answers

The graph will have a horizontal line from 4 to 15 hours (since there is no change in snow depth during that time) and two downward sloping lines from 0 to 4 hours and from 15 to 22 hours (representing snowfall and snow melt, respectively)

How to draw a graph?

To make a graph of the inches of snow on the ground over time, we can use the following steps:

We can divide the time into different intervals based on the snowfall, the break in the storm, and the snow melt. We have:

Snowfall for the first 4 hours (at a rate of 1 inch per hour).Break in the storm for 6 hours.Snowfall for the next 5 hours (at a rate of 2 inches per hour).Snow melt for the next 7 hours (at a rate of 2 inches per hour).

We can then calculate the inches of snow on the ground at the end of each interval, starting with the initial 3 inches of snow. We have:

After 4 hours of snowfall: 3 + 4(1) = 7 inches of snow on the ground.After 10 hours (4 hours of snowfall + 6 hours of break): 7 inches of snow on the ground.After 15 hours (10 hours + 5 hours of snowfall): 7 + 5(2) = 17 inches of snow on the ground.After 22 hours (15 hours + 7 hours of snow melt): 17 - 7(2) = 3 inches of snow on the ground.

We can now plot these points on a graph with time (in hours) on the x-axis and inches of snow on the y-axis. The graph will have four points: (0,3), (4,7), (15,17), and (22,3).

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3. Which of the following is not true about the
number line below?
A
A)
B)
C)
-2
ţ
0
+
2
The absolute value of point A is positive
The opposite of point A is positive
The additive inverse of point A is -1

Answers

The statement that is not true about point A on the number line is none of the above. All of the given statements are true.

How to determine the following that is not true about the number line

On the number line provided, point A is located at -1, which means it is one unit to the left of 0.

A) The absolute value of point A is the distance between A and 0 on the number line, which is 1 unit. Since the absolute value of any number is always positive, it is true that the absolute value of point A is positive.

B) The opposite of a number is its reflection across 0 on the number line. The opposite of -1 is 1, which is positive. Therefore, it is true that the opposite of point A is positive.

C) The additive inverse of a number is the number that when added to it gives a sum of 0. The additive inverse of -1 is 1, which means -1 + 1 = 0. Therefore, it is true that the additive inverse of point A is -1.

Therefore, the statement that is not true about point A on the number line is none of the above. All of the given statements are true.

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the mean life of a television set is 97 months with a variance of 169 . if a sample of 59 televisions is randomly selected, what is the probability that the sample mean would be less than 100.9 months? round your answer to four decimal places.

Answers

The probability that the sample mean would be less than 100.9 months is approximately 0.9600.

We can use the central limit theorem to approximate the sampling distribution of the sample mean as a normal distribution with a mean of 97 months (the population mean) and a standard deviation of σ/√n, where σ is the population standard deviation and n is the sample size.

The standard deviation of the sampling distribution can be calculated as follows

σ/√n = √(169)/√59 = 2.065

Therefore, the z-score corresponding to a sample mean of 100.9 months is

z = (100.9 - 97) / 2.065 = 1.75

Using a standard normal distribution table or calculator, we can find that the probability of obtaining a z-score less than 1.75 is approximately 0.9599.

Therefore, the probability that the sample mean would be less than 100.9 months is approximately 0.9599.

Rounding this to four decimal places, we get

P(x < 100.9) ≈ 0.9600

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which linear optimization outcome is not possible? multiple optimal solutions are found a unique optimal solution is found solver requests to change a constraint there is an unbounded solution

Answers

The option that linear optimization outcome is not possible is option (d) there is an unbounded solution

In linear optimization, a problem is said to be unbounded if there exists at least one feasible solution with an objective value that can be made infinitely large (or small) by increasing (or decreasing) the value of one or more decision variables without violating any of the problem's constraints. An unbounded solution is not a feasible or practical solution since it implies that there is no limit to how much the objective function can be improved.

On the other hand, it is possible to have multiple optimal solutions (a), a unique optimal solution (b), or have the solver request a change in a constraint (c) in linear optimization, depending on the specific problem and constraints.

Therefore, the correct option is (d) there is an unbounded solution

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Find the domain for each expression. 1/x

Answers

The domain of function 1/x is (-∞, 0) U (0, ∞), which means all real numbers except 0.

What is a domain?

In mathematics, the term "domain" refers to the set of possible input values for a function, equation, or expression. The domain represents the valid inputs that can be used to evaluate the function or expression and obtain a meaningful output.

For example, consider the function f(x) = x^2. The domain of this function is all real numbers because we can plug in any real number for x and obtain a valid output. However, if we consider the function g(x) = 1/x, the domain of this function is all real numbers except x = 0, because division by zero is undefined and we cannot evaluate the function at that point.

According to the given information

The expression 1/x has a domain of all real numbers except x = 0. This is because division by zero is undefined, so the expression is not defined for x = 0. For all other values of x, we can evaluate 1/x and get a real number. Therefore, the domain of 1/x is (-∞, 0) U (0, ∞), which means all real numbers except 0.

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a scientist claims that the mean gestation period for a fox is more than 48.9 weeks. if a hypothesis test is performed that rejects the null hypothesis, how would this decision be interpreted? g

Answers

The rejection of the null hypothesis in a hypothesis test that claims the mean gestation period for a fox is more than 48.9 weeks implies there is sufficient evidence to support the claim, indicating a statistically significant difference between the observed sample mean and the hypothesized mean.

If a hypothesis test is performed that rejects the null hypothesis that the mean gestation period for a fox is 48.9 weeks or less, it means that there is sufficient evidence to support the claim that the mean gestation period for a fox is more than 48.9 weeks.

The rejection of the null hypothesis implies that the observed sample mean is significantly different from the hypothesized mean, and this difference is unlikely to have occurred by chance alone. The statistical test used to evaluate the hypothesis would have produced a p-value less than the significance level, indicating that the evidence against the null hypothesis is strong.

Therefore, the scientist can conclude that there is evidence to support their claim that the mean gestation period for a fox is more than 48.9 weeks, and this finding could have important implications for understanding fox reproductive biology and management.

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The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.

A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 10 to 14.5 on the number line. A line in the box is at 12.5. The lines outside the box end at 5 and 20. The graph is titled Fast Chicken.

A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.

Which drive-thru typically has less wait time, and why?

Fast Chicken, because it has a smaller median
Fast Chicken, because it has a smaller mean
Super Fast Food, because it has a smaller median
Super Fast Food, because it has a smaller mean

Answers

The correct answer is: Super Fast Food, because it has a smaller median.

What is the median?

The median is a measure of central tendency that represents the middle value in a set of data when the data is arranged in ascending or descending order.

Based on the given information, Super Fast Food typically has less wait time compared to Fast Chicken.

The median is the middle value in a set of data, and it is often used as a measure of central tendency in box plots. In this case, the median for Super Fast Food is 12, while the median for Fast Chicken is 12.5. Since the median for Super Fast Food is smaller than the median for Fast Chicken, it suggests that the wait times at Super Fast Food are generally lower than those at Fast Chicken.

Hence, the correct answer is: Super Fast Food, because it has a smaller median.

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Pam is a hairdresser. Before her lunch break, she gave 2 haircuts and colored the hair of 1 client in 83 minutes. After lunch, she gave 1 haircut and colored the hair of 3 clients in 164 minutes. How long does it take for Pam to perform each type of service, assuming the amount of time doesn’t vary from client to client?

Answers

Answer: Let's assume that it takes Pam x minutes to give a haircut and y minutes to color hair.

From the information given, we can create two equations:

2x + y = 83 (Pam gave 2 haircuts and colored the hair of 1 client in 83 minutes)

1x + 3y = 164 (Pam gave 1 haircut and colored the hair of 3 clients in 164 minutes)

To solve for x and y, we can use elimination method or substitution method. Let's use substitution method.

From the first equation, we can solve for y in terms of x:

y = 83 - 2x

Substituting this into the second equation, we get:

1x + 3(83 - 2x) = 164

Simplifying and solving for x, we get:

x = 30

Substituting this value of x into either of the two equations, we can solve for y:

2(30) + y = 83

y = 23

Therefore, it takes Pam 30 minutes to give a haircut and 23 minutes to color hair.

Step-by-step explanation:

Transformations Task Card # 29 What is the image of point (3,4) after a dilation of 2? New Coordinate​

Answers

Answer:

(6, 8)

Step-by-step explanation:

A dilation scales an object on the coordinate plane using the scale factor, causing it to get bigger or smaller.

We are given that the point (3, 4) is dilated by 2; since 2 is greater than 1, this is an enlargement (in which the figure gets bigger).

So, all we need to do is multiply each of the coordinates by 2, like so:

[tex]3*2=6\\4*2=8[/tex]

Thus, the image of the point (3, 4), after being dilated by 2, is (6, 8).

Business Success

Restaurant owners are continually monitoring financial aspects and customer relations of their business. They use collected data to recognize trends, predict outcomes, and plan for the future.



In this task, you will play the role of a restaurant owner. You will collect data and analyze different aspects of your business.
As you complete the task, keep these questions in mind: Can you predict sales based on factors such as the weather and the number of customers? Can you estimate the amount you will earn in tips on a given day based on the number of customers?

Answers

collecting and analyzing data is crucial for a restaurant owner to predict outcomes and plan for the future. By understanding factors such as the weather, the number of customers, and customer satisfaction, a restaurant owner can make informed decisions that can lead to business success.

HOW TO SOLVE THE QUESTION ?

As a restaurant owner, collecting and analyzing data is critical to understanding the success of the business. There are various factors to consider when analyzing data, such as sales, customer satisfaction, and weather patterns. By understanding these factors, a restaurant owner can predict outcomes and plan for the future.

One way to predict sales is by analyzing the weather. For example, if the weather is cold and rainy, it is less likely that people will want to go out to eat. However, if the weather is warm and sunny, more people may be inclined to dine out. Additionally, the number of customers can also impact sales. If a restaurant has more customers, then sales will likely increase. By analyzing the relationship between the weather and the number of customers, a restaurant owner can predict sales and plan accordingly.

Estimating the amount of tips earned on a given day is another important aspect of running a successful restaurant. The number of customers can be used as a predictor for the amount of tips earned. Typically, the more customers there are, the more tips the staff will earn. Additionally, monitoring customer satisfaction can also impact the amount of tips earned. If customers are satisfied with their experience, they may be more inclined to leave a larger tip.

In conclusion, collecting and analyzing data is crucial for a restaurant owner to predict outcomes and plan for the future. By understanding factors such as the weather, the number of customers, and customer satisfaction, a restaurant owner can make informed decisions that can lead to business success.

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Determine the domain of the following graph:
21098
11
76
4
+32
2
1
-12-11-10-9-8-7-6-5-4-3-2-1
5
ܐ ܣ ܣ ܟ ܬ ܬ { ܣ ܣ
-2
-3
-4
-5
-6
-9
-7
-10
-8
-11
-12
2 3 4 5 6 7 8 9 10 11 12

Answers

The domain of the following graph is equal to [-11. -3]

What is a domain?

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function is defined.

How to identify the domain any graph?

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-11, -3].

Range = [-5, 0].

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Kylie brought 5 pears to soccer practice to share with her teammates. She cuts each pear into thirds. How many slices of pears does she have to share with her teammates? Which equations can you use to solve the problem? Select two equations. A. 5 × 3 = 15 B. 1 5 × 1 3 = 1 15 C. 1 5 × 3 = 3 5 D. 5 ÷ 1 3 = 15 E. 1 3 ÷ 5 = 1 15

Answers

Answer: a and d

Step-by-step explanation:

1 pear = 3 slices

5 pears = 15 slices

5x3=15

OR

5/1/3=15

Equation A and Equation D are the two equations that Kylie can use to solve the problem.

This is a simple mathematics problem.

Kylie has five pears. She cuts each of her pears into thirds, i.e., three slices of each pear.

So, now Kylie will do the same for each pear she has:

Total Slices with Kylie = 5 x 3

Total Slices with Kylie = 15

Equation D can also be used to define the situation of Kylie. Total pears with her are five and each pear is divided into thirds, i.e., 1/3

Total Slices with Kylie = 5 ÷ 1/3

Total Slices with Kylie = 15

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