Answers
Answer:
Choice B: distance from home to library is length of HL
HL = 75 see calculations below
Step-by-step explanation:
use points (0,0) and (2.1, 7.2) to find HL:
HL = √(2.1 - 0)² + (7.2 - 0)² = √4.4 + 51.8 = √56.25 = 7.5
Related Questions
an online buying club offers a membership for $245, for which you will receive a discount of 10 percent on all brand-name items you purchase. how much would you have to buy to cover the cost of the membership?
Answers
You would have $2,450 to buy to cover the cost of the membership.
An online buying club offers a membership for $245, for which you will receive a discount of 10 percent on all brand-name items you purchase.
We have to determine how much you would have to buy to cover the cost of the membership.
You have to buy to cover the cost of the membership = An online buying club offers a membership/Receive a discount
You have to buy to cover the cost of the membership = $245/10%
You have to buy to cover the cost of the membership = $245/0.10
You have to buy to cover the cost of the membership = $2,450
To learn more about cost of the membership link is here
brainly.com/question/15014708
#SPJ4
a jar contains 21 brown and 19 blue marbles. a marble is drawn at random. what is the theoretical probability of drawing a blue marble?
Answers
The theoretical probability of drawing a blue marble from a jar containing 21 brown and 19 blue marbles is 19/40, or 0.475.
To calculate this, divide the number of blue marbles by the total number of marbles in the jar. 19 divided by 40 equals 0.475, or 19/40. This means that there is a 47.5% chance of drawing a blue marble from the jar.
The probability of drawing a specific marble from the jar can be expressed using the formula P(A) = n(A)/n(T).
In this example, the probability P(A) is the chance of drawing a blue marble, n(A) is the number of blue marbles (19) and n(T) is the total number of marbles in the jar (40). Therefore, P(A) = 19/40 = 0.475.
To know more about theoretical probability click on below link:
https://brainly.com/question/30604977#
#SPJ11
Jane contributes 12% of the total cost of her individual health care. This is a $95.50 deduction from each of her biweekly paychecks.
A) Find Jane's share.
b) Total value of the insurance.
b) Calculate the employer's share.
Answers
A) Jane's share is 12% of X, which is equal to 0.12X.
B) the total cost of the insurance is $20,691.67
C) the employer's share is $18,208.67.
The total expense is what?Total cost is the collective term for the cost of production as a whole, which encompasses both fixed and variable costs. The expense necessary to produce a good is referred to in economics as the total cost. There are two parts that make up the total cost: a set price The expense is what never changes.
According to the given information:Let X be the total cost of Jane's individual health care, then:
A) Jane's share is 12% of X, which is equal to 0.12X.
B) We know that Jane's deduction from each biweekly paycheck is $95.50, so she pays a total of:
$95.50 * 26 = $2,483
This amount is equal to 0.12X, so we can set up an equation:
0.12X = $2,483
Solving for X, we get:
X = $20,691.67
Therefore, the total value of the insurance is $20,691.67.
C) The employer's share is the difference between the total cost of the insurance and Jane's share:
Employer's share = Total cost - Jane's share
Employer's share = $20,691.67 - $2,483
Employer's share = $18,208.67
Therefore, the employer's share is $18,208.67.
To know more about Total cost visit:
https://brainly.com/question/30355738
#SPJ1
Jane's share of the total cost of her individual health care is $795.83, The total value of the insurance is $795.83 + 0.88x and the employer's share is 0.88x.
What is cost?
In mathematics, cost refers to the amount of resources (such as money, time, effort, or materials) that are required to produce or obtain something.
A) To find Jane's share of the total cost of her individual health care, we can use the information that she contributes 12% of the cost, and that this is a $95.50 deduction from each of her biweekly paychecks.
Let x be the total cost of Jane's individual health care. Then:
12% of x = $95.50
0.12x = $95.50
x = $95.50 / 0.12
x = $795.83
Therefore, Jane's share of the total cost of her individual health care is $795.83.
B) To find the total value of the insurance, we can add up both Jane's share and the employer's share.
If Jane is contributing 12% of the total cost, then the employer is contributing the remaining 88% of the cost. So the employer's share can be calculated as:
88% of x = 0.88x
The total value of the insurance is then:
Total value = Jane's share + Employer's share
Total value = $795.83 + 0.88x
C) To calculate the employer's share, we can use the same information as above. The employer is contributing 88% of the total cost, so:
88% of x = 0.88x
Therefore, the employer's share of the total cost of Jane's individual health care is $0.88x, or approximately $700.33 (if we use the value of x that we found in part A).
To learn more about cost visit:
https://brainly.com/question/25109150
#SPJ1
In ΔEFG, m ∠ � = ( 5 � + 6 ) ∘ m∠E=(5x+6) ∘ , m ∠ � = ( 4 � − 6 ) ∘ m∠F=(4x−6) ∘ , and m ∠ � = ( 5 � − 2 ) ∘ m∠G=(5x−2) ∘ . Find m ∠ � . m∠G.
Answers
Therefore , the solution of the given problem of angles comes out to be m∠G= 63° is the response to the second component of the query.
What does an angle mean?The curved lines which make up the ends of a skew are divided by its highest and bottom walls using Cartesian measurements. There is a possibility who two poles will collide at an intersection. Another result of two objects interacting is an angle. They most closely mimic dihedral shapes. Two line beams can be arranged in different ways between their extremities to form a two-dimensional curve.
Here,
m∠E + m∠F + m∠G = 180°
Additionally, we are aware that mE = (5x + 6)°, mF = (4x - 6)°, and mG = (5x - 2)°. When we enter these numbers into the formula above, we obtain:
=> (5x + 6)° + (4x - 6)° + (5x - 2)° = 180°
When we simplify and find x, we obtain:
=> 14x - 2 = 180
=> 14x = 182
=> x = 13
Now that we know the three vectors' values:
=> m∠E = (5x + 6)° = (5(13) + 6)° = 71°
=> m∠F = (4x - 6)° = (4(13) - 6)° = 46°
=> m∠G = (5x - 2)° = (5(13) - 2)° = 63°
In light of this, mE = 71°, mF = 46°, and mG = 63°.
The first portion of the question has the following solution:
=> m∠EFG = m∠E + m∠F + m∠G = 71° + 46° + 63° = 180°.
m∠G= 63° is the response to the second component of the query.
To know more about angles visit:
https://brainly.com/question/14569348
#SPJ1
Mrs. Garcia is ordering pizza for students in the Homework Club. A large two-topping pizza is 20% off the regular price of $15. Mrs. Garcia wants to know the sale price. Which equation can be used to find the sale price, s, of the pizza
s = 0.8(15) s = 0.1(15) S = 0.115 S=0.8 15
Regular Price 100% $15
Sale Price 80% $ ?
Discount 20%
Answers
The equation that can be used to find the sale price, s, of the pizza is S = 0.8(15).
What is sale price?It is the final amount paid for a product or service and is often lower than the original asking price.
This equation uses the percentage discount of 20%, which can be represented as 0.8, to find the sale price.
To calculate the sale price, the equation multiplies the regular price of $15 by the discount, 0.8.
0.8*15 =12
Therefore, the sale price of the pizza is $12.
The other equations are not correct because they do not take into account the percentage discount of 20%.
S = 0.1(15) does not consider the discount of 20%, as it is multiplying the regular price of $15 by 0.1, which is equivalent to 10%, not 20%.
Similarly, S = 0.115 is incorrect because it is multiplying the regular price of $15 by 1.15, which is equivalent to 115%, not 20%.
Lastly, S=0.8 15 is incorrect because it is not multiplying the regular price of $15 by the discount of 20%, which is 0.8.
For more questions related to discount
https://brainly.com/question/7459025
#SPJ1
A train is moving at a rate of 65 miles/hour toward a railroad marker located 200 miles away. Which equation could be used to find the time it will take for the distance between the train and the railroad marker to be 4 miles apart, where h represents the time in hours?
Answers
The distance d between the train and the railroad marker can be expressed as:
d = 200 - 65h
where 200 represents the initial distance between the train and the marker, and 65h represents the distance the train has covered after h hours, assuming a constant speed of 65 miles per hour.
To find the time it will take for the distance between the train and the marker to be 4 miles apart, we can set d to 4 and solve for h:
4 = 200 - 65h
65h = 196
h = 196/65
So the equation to find the time it will take for the distance between the train and the railroad marker to be 4 miles apart is:
200 - 65h = 4
or
65h = 196
or
h = 196/65
if you deposit $4,500 at the end of each of the next 20 years into an account that is paying 9.7% interest, how much money will you have in the account in 20 years ? how much will you have if you make deposits for 40 years ?
Answers
If you deposit 4,500 at the end of each of the next 20 years into an account that is paying 9.7% interest, you will have 347,401.59 in the account in 20 years. You will have 2,545,025.81 if you make deposits for 40 years.
Given that you deposited 4,500 at the end of each of the next 20 years into an account that is paying 9.7% interest. Now you have to find out how much money you will have in the account in 20 years and how much will you have if you make deposits for 40 years.
The formula to calculate the future value of an annuity due is:
[tex]FV = PMT \times [(1 + r)^{(n - 1)} / r] \times(1 + r)[/tex]
Where,
FV = Future Value
PMT = Payment (amount) each period
r = Interest Rate per period
n = Number of periods
To find the future value of an annuity due for 20 years:
[tex]FV = 4500 \times [(1 + 0.097)^{(20 - 1)} / 0.097] \times (1 + 0.097)\\FV = 4500 \times [(1.097)^{19} / 0.097] \times (1.097)\\FV = 4500 \times [(6.226)] \times (1.097)\\FV = 347,401.59[/tex]
To find the future value of an annuity due for 40 years:
[tex]FV = 4500 \times [(1 + 0.097)^{(40 - 1)} / 0.097] \times (1 + 0.097)\\FV = 4500 \times [(1.097)^{39} / 0.097] \times (1.097)\\FV = 4500 \times [(38.84)] \times (1.097)\\FV = 2,545,025.81[/tex]
For such more question on deposit
https://brainly.com/question/1438257
#SPJ11
Which of the contexts below represents exponential growth?
A town's population shrinks at a rate of 8.1% every year.
A taxi charges a flat fee of $3.00 for pick-up, then an additional fee of $2.75 per mile.
A town's population grows at a rate of 4% every year.
A radioactive compound decays at a rate of 5% per hour.
Answers
The exponential function [tex]P(t) = P0 \times 1.04^t[/tex] represents the exponential growth of Option C: A town's population grows at a rate of 4% every year.
What is an exponential function?
The formula for an exponential function is [tex]f(x) = a^x[/tex], where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.
The context that represents exponential growth is "A town's population grows at a rate of 4% every year."
Exponential growth occurs when a quantity grows at an increasing rate over time, which is exactly what is happening with the population of the town.
As the population grows, the growth rate also increases, resulting in an exponential increase over time.
Let P(t) be the population of the town after t years, where t is a positive integer.
The exponential function that models the population growth is -
[tex]P(t) = P0 \times (1 + r)^t[/tex]
where P0 is the initial population, r is the growth rate as a decimal, and t is the time in years.
In this case, the growth rate is 4% per year, which can be written as a decimal as r = 0.04.
Therefore, the exponential function for the town's population growth is -
[tex]P(t) = P0 \times (1 + 0.04)^t[/tex]
Simplifying the expression, we get -
[tex]P(t) = P0 \times 1.04^t[/tex]
This function can be used to calculate the population of the town after a given number of years, assuming the growth rate remains constant.
In contrast, the other contexts represent either a steady decrease (town's population shrinking at a rate of 8.1% per year and the radioactive compound decaying at a rate of 5% per hour) or a linear increase (taxi charges a flat fee of $3.00 for pick-up, then an additional fee of $2.75 per mile).
Therefore, the exponential growth is displayed by town's population growing 4% every year.
To learn more about exponential function from the given link
brainly.com/question/12626186
#SPJ1
deduce that no matter how the two dice are biased, the numbers 2, 7, and 12 cannot be equally likely values for the slim. in particular, the sum cannot be uniformly distributed on the numbers from 2 to 12. g
Answers
We know that no matter how the two dice are biased, the numbers 2, 7, and 12 cannot be equally likely values for the sum. In particular, the sum cannot be uniformly distributed on the numbers from 2 to 12.
Explanation:
When we roll a fair die (i.e. an unbiased die), the probabilities of getting any one of the six possible numbers {1, 2, 3, 4, 5, 6} are equal to 1/6 each. But, when we use a biased die, the probabilities of getting any of the six possible numbers will no longer be equal. Some numbers will be more likely to occur, while others will be less likely to occur
For example:
if one of the dice has a weight in such a way that it always rolls a 6, then the probability of getting a sum of 2 will be zero, the probability of getting a sum of 7 will be 1/6, and the probability of getting a sum of 12 will be zero.However, if the dice are biased in some other way, we can still get non-zero probabilities for the sums of 2, 7, and 12. But, the probability of getting those three sums will not be the same. For instance, if one die is biased to always roll a 1, and the other die is biased to always roll a 6, then the probabilities of getting each of the sums 2, 7, and 12 are as follows:
P(2) = P(1, 1) = (1/6)² = 1/36
P(7) = P(1, 6) + P(6, 1) + P(2, 5) + P(5, 2) + P(3, 4) + P(4, 3) = 6(1/6)(1/6) = 1/6P(1
2) = P(6, 6) = (1/6)² = 1/36
So, the probability of getting a sum of 7 is six times as likely as getting a sum of 2 or 12. Therefore, the sum cannot be uniformly distributed on the numbers from 2 to 12.
To know more about probability:
https://brainly.com/question/30034780
#SPJ11
Sasha had 30 minutes to do a three-problem quiz. She spent 8 3/4
minutes on questions A and 5 1/2
minutes on question B. How much time did she have left for question C?
Answers
There is an amoeba (a single-celled animal) on a dish.
After one hour, the amoeba divides to form two amoebas.
One hour later, each amoeba divides to form two more.
Every hour, each amoeba divides to form two more.
Write an expression for the number of amoebas after `24` hours.
Answers
An expression for the number of amoebas after 24 hours is 1 × 2²⁴ = 16,777,216
How do amoebas develop?Single-celled creatures knοwn as amοebas reprοduce asexually. An amοeba begins tο reprοduce when its genetic material dοubles, twο nuclei are fοrmed, and it begins tο alter shape by develοping a thin "waist" in the centre. Typically, this prοcedure gοes οn until the cells are finally divided intο twο.
Amοeba reprοduce typically asexually thrοugh a prοcess called binary fissiοn. The cell splits intο twο daughter cells οf equal size fοllοwing the replicatiοn οf its genetic material by mitοtic divisiοn.
a. It is given that an amοeba divides tο fοrm twο amοebas after οne hοur sο there are 2 amοebas after 1 hοur.
b. It is given that οne hοur later, each οf the twο amοebas divides tο fοrm twο mοre amοebas sο there are 2×2=4 amοebas after 2 hοurs.
c. The number οf amοebas is dοubling after each hοur since each amοeba divides intο twο amοebas every hοur. This means that the number οf amοebas after 6 hοurs can be fοund by multiplying the οriginal number οf amοebas, which was 1, by 2 six times. The number οf amοebas after 6 hοurs is then 1 × 2⁶ = 2⁶= 64 amοebas.
d. Using the same pattern frοm part (c), the number οf amοebas after 24 hοurs is 1 × 2²⁴ = 2²⁴ = 16,777,216 amοebas.
Expression = 1 × 2²⁴ = 16,777,216
To know more about expression visit:
https://brainly.com/question/14083225
#SPJ1
What is the weight of a 48 kg girl on Earth? Round the answer to the nearest whole number.
___N
Answers
Answer:
remember, in order to calculate the weight on earth, we need to multiply the mass of the object with the force of Gravity (9.8 m/s^2 on earth)
so, her weight would be:
48 x 9.8 = 470.4 >>>>>>> Will be 470 if we round it to the nearest whole number.
Step-by-step explanation: Hope this helps. Mark me brainliest!! :)))
Answer: 470
Step-by-step explanation:
Name 2 figures for which all cross sections taken at a particular orientation
are congruent.
Answers
Answer: Rectangular prism & Cylinder
Step-by-step explanation: In geometry, a rectangular prism is a polyhedron with two congruent and parallel bases. It is also called a cuboid. A rectangular prism has six faces, and all the faces are in a rectangle shape and have twelve edges. Because of its cross-section along the length, it is said to be a prism.
A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The line segment joining the two centers is the axis, that denotes the height of the cylinder.
You walked 3/4 mile, and you ran 7/10 mile. How much farther did you walk than run?
Answers
Answer:
1/20
Step-by-step explanation:
because you turn the denominators to 40, then subtract walk from run and you got your answer
If a item is $30 and the is 20% off the regular price how much would it be
Answers
20% is 6
30-6=24
$24
Answer:
20 percent off depends on the original cost: Take the original number and divide it by 10. Double your new number. Subtract your doubled number from the original number. You have taken 20 percent off! For $30, you should have $24.
Step-by-step explanation:
Find m∠AZJ using the figure below
Answers
In Linear pair, 52° is the value ∠AZJ .
What is Linear pairs?
When two lines meet at a single point, a pair of linear angles is created. If, following the junction of the two lines, the angles are next to one another, they are said to be linear. A linear pair's total angles are always equal to 180 degrees.
A pair of adjacent angles is said to be a linear pair if the total of the two angles' (measured) angles is 180°. This means that a linear pair of angles always adds up to 180°. The linear pair of 30°, for instance, is 150°; the linear pair of 70°, 110°; etc.
∠JZF or ∠HZG
Linear pairs form supplementary angles.
∠AZJ = ∠AZH - ∠HZA
= 90° - 38°
∠AZJ = 52°
Learn more about Linear pairs
brainly.com/question/17525542
#SPJ1
Solve and graph the inequality.
-4 < 4x < 20
Answers
The solution of the given inequality is x ∈ (-1,5). The graph has been plotted and attached below.
What is an inequality?
In mathematics, an inequality is a relationship that unfairly compares two numbers or other mathematical expressions. Size comparisons between two numbers on the number line are most usually made.
We are given an inequality as -4 < 4x < 20.
Now, on splitting the inequality, we get two inequalities which are:
-4 < 4x and 4x < 20.
On solving -4 < 4x, we get
⇒ -4 < 4x
⇒ -1 < x
Similarly, on solving 4x < 20, we get
⇒ 4x < 20
⇒ x < 5
So, we get -1 < x < 5 which means x ∈ (-1,5).
The graph of the inequality has been plotted and attached below.
The red part represents -1 < x and the blue part represents x < 5.
Hence, the solution of the given inequality is x ∈ (-1,5).
Learn more about inequality from the given link
https://brainly.com/question/30238989
#SPJ1
to avoid a near midair collision (nmac) with a manned airplane, you estimate that your small ua climbed to an altitude greater than 400 feet agl. to whom must you submit a written report of the deviation?
Answers
you estimate that your UA climbed to an altitude greater than 400 feet above ground level (AGL), you must submit a written report of the deviation to the Federal Aviation Administration (FAA).
If you are operating a small unmanned aircraft (UA) and have had a near mid-air collision (NMAC) with a manned airplane, and you estimate that your UA climbed to an altitude greater than 400 feet above ground level (AGL), you must submit a written report of the deviation to the Federal Aviation Administration (FAA).
According to the FAA regulations, any UAS operator involved in an NMAC with a manned aircraft must submit a report to the FAA within ten days of the incident. This report must include the date, time, and location of the incident, as well as a detailed description of the events leading up to the NMAC.
You can submit the report online via the FAA's Aviation Safety Reporting System (ASRS) website. The ASRS is a voluntary reporting system that allows pilots and UAS operators to report incidents without fear of enforcement action, provided that the incident was not a result of reckless or intentional behavior.
Learn more about deviation here
https://brainly.com/question/13905583
#SPJ4
what would happen if 300 people were sampled instead of 200, and the confidence level remained the same?
Answers
If 300 people were sampled instead of 200, and the confidence level remained the same, it would produce a more accurate result.
Sampling means selecting the group that you will actually collect data from in your research. For example, if you are researching the opinions of students in your university, you could survey a sample of 100 students. In statistics, sampling allows you to test a hypothesis about the characteristics of a population.
This is because a larger sample size allows for a better representation of the population, providing a more accurate result. Additionally, with a larger sample size, the confidence interval of the sample would be narrower, indicating a higher level of confidence in the accuracy of the result.
To learn more about sampling refer :
https://brainly.com/question/6979326
#SPJ11
PLSSSS HELP IF YOU TURLY KNOW THISSS
Answers
Given:-
[tex] \tt \: 3x = 12[/tex][tex] \: [/tex]
Solution:-
[tex] \tt \: 3x = 12[/tex][tex] \: [/tex]
[tex] \tt \: \: x = \cancel{ \frac{12}{3} }[/tex][tex] \: [/tex]
[tex] \boxed{ \tt{ \green{ \: x = 4 \: }}}[/tex][tex] \: [/tex]
__________________
hope it helps ⸙
39 of the 52 students in choir A like musicals. 35 of the 44 students in choir b like musicals. Was there a higher percentage of students that like musicals in choir A or B?
Answers
Choir B has a higher percentage of students who like musicals.
what is percentage ?
Percentage is a way of expressing a proportion or a fraction out of 100. It is a widely used concept in mathematics, finance, statistics, and other fields. For example, if 20 out of 100 students in a class like pizza, we can say that the percentage of students who like pizza is 20%. To calculate the percentage, we usually multiply the given fraction by 100. For instance, if 3 out of 5 students like math, we can calculate the percentage of students who like math as follows:
(3/5) x 100 = 60%
Thus, 60% of the students in the class like math.
To determine which choir has a higher percentage of students who like musicals, we need to calculate the percentage of students in each choir who like musicals.
For choir A, 39 out of 52 students like musicals:
39/52 = 0.75 or 75%
For choir B, 35 out of 44 students like musicals:
35/44 = 0.795 or 79.5%
Therefore, choir B has a higher percentage of students who like musicals.
To know more about percentage visit :-
https://brainly.com/question/24877689
#SPJ1
olympic gold medal has a gram of 586 grams. what is the mass of a 2018 olympic gold medal in hectograms
Answers
The mass of a 2018 Olympic gold medal in hectograms is 58.6 hg.
First, we need to know the mass of the Olympic gold medal in grams. According to the question, the mass of an Olympic gold medal is 586 grams.
To convert grams to hectograms, we need to divide the mass in grams by 100. This is because there are 100 grams in 1 hectogram.
To do the division, we can use a calculator. Dividing 586 by 100 gives us 5.86.
The answer we get is in hectograms, so we can write it as 5.86 hg. This means that the mass of a 2018 Olympic gold medal is 5.86 hectograms.
To know more about hectograms, refer here:
https://brainly.com/question/1058206#
#SPJ11
Question 8 of 10
Floyd's brick house is located in the suburbs. If his building property
insurance is $652.50 per year, how much is his house worth?
Annual Premium per $100 of coverage
Brick
Steel
Area
rating
Building Contents
Building Contents
City
0.39
0 43
Suburb 0.45
0.52
Rural 0.6
0.69
OA. $185,000
OB. $145,000
OC. $125,000
O D. $95,000
05
0.56
0.71
0.54
0.63
0.8
Mixed
Building Contents
0.55
0.72
0.89
0.65
0.74
0.91
Wood
Building Contents
0.66
0.83
1
0.76
0.85
1.02
Answers
The right answer is (B), which is $145,000, given that his building property insurance costs $652.50 annually.
what is interest ?In mathematics, interest usually refers to the sum of money that is charged or made over the course of a given period of time on a principal sum of money. In finance and economics, interest—which can be basic or compound—is frequently used to calculate borrowing costs and return on investment. The principal sum, the interest rate, and the duration for which the interest is being charged or earned are the three factors used to compute simple interest.
given
We are informed that Floyd's home is situated in a suburban area, where building property insurance costs $0.45 for every $100 of coverage.
Assume Floyd's home is worth x. Then, the yearly payment for his home's building property insurance is:
0.0045x = $652.50
After finding x, we obtain:
x = $652.50 ÷ 0.0045
x ≈ $145,000
Floyd's home is therefore currently worth about $145,000.
The correct response is (B ) $145,000 as his building property insurance is $652.50 per year.
To know more about interest visit:
https://brainly.com/question/28792777
#SPJ1
Which number is a perfect square
Responses
2
8
16
20
Answers
Answer:
16
Step-by-step explanation:
because it is a square number. The other numbers, if you square root them you won't get a whole number.
what is the probability that the sample proportion will be within 0.05 of the population proportion experiencing click fraud?
Answers
There is a 95% probability that the sample proportion will be within 0.05 of the population proportion experiencing click fraud.
To find the probability that the sample proportion will be within 0.05 of the population proportion experiencing click fraud, we need to use the formula for the margin of error:
[tex]$$E = z_{\alpha/2}\sqrt{\frac{p(1-p)}{n}}$$[/tex]
where E is the margin of error, [tex]$z_{\alpha/2}$[/tex] is the critical value for the desired confidence level (let's assume 95%, so [tex]$z_{\alpha/2} = 1.96$[/tex]), p is the population proportion of websites experiencing click fraud, and n is the sample size.
We know that p=0.15, so we can plug in the values:
[tex]$$E = 1.96\sqrt{\frac{0.15(1-0.15)}{400}} = 0.05$$[/tex]
So the margin of error is 0.05. This means that there is a 95% probability that the sample proportion will be within 0.05 of the population proportion experiencing click fraud.
Learn more about Probability:
https://brainly.com/question/24756209
#SPJ4
Angela is using a game piece with faces labeled A, B, C, and D. What is the sample space for rolling the game piece?
Answers
The sample space for rolling the game piece is S = {A, B, C, D}
Describe Sets?In mathematics, a set is a well-defined collection of distinct objects, which can be anything like numbers, letters, people, or even other sets. A set is usually denoted by curly braces {} enclosing its elements separated by commas. For example, the set of natural numbers less than or equal to 5 can be denoted as {1, 2, 3, 4, 5}.
Sets can also be described by various methods such as by listing its elements, by set-builder notation, or by using a Venn diagram to visualize relationships between sets. A set can have any number of elements, including none (empty set), and can also have infinite number of elements.
Sets can be combined through set operations such as union, intersection, and complement. The union of two sets A and B is a set that contains all the elements that belong to either A or B (or both). The intersection of two sets A and B is a set that contains all the elements that belong to both A and B. The complement of a set A is the set of all elements that are not in A.
The sample space for rolling the game piece can be represented by the set of possible outcomes, which are the labels on the faces of the game piece. Therefore, the sample space is:
S = {A, B, C, D}
To know more about sample visit:
https://brainly.com/question/30206035
#SPJ1
The measures of the angles of a triangle are shown in the figure be
45°
106⁰
C
Search
(2x-9)°
PLS HURRY !!
Answers
x = 19
Explanation:
Two square pyramids are joined at their bases.
Each base is 28 cm long. The distance between the
vertices of the combined pyramids is 21 cm. What
is the volume of the solid formed?
Answers
The volume of the solid formed using square pyramids are joined at their bases is 5,487.3 unit ².
Using the formula for the volume of a square pyramid, find the volume and then multiply it by two since there are two square pyramids.
Let V be the volume of the solid formed.
⇒ volume of the solid formed - V = 2 ( [tex]\frac{1}{3} *B*h[/tex] )
Now substitute the values,
⇒V = 2 ( [tex]\frac{1}{3}[/tex] * [tex]28^{2}[/tex] * 10.5 )
⇒V = 2 ( [tex]\frac{1}{3}[/tex] * 784 * 10.5 )
⇒V = 2 ( 261.3 * 10.5 )
⇒V = 2 ( 2,743.65 )
⇒V = 5,487.3 unit ²
Therefore, the volume of the solid formed using square pyramids are joined at their bases is 5,487.3 unit ².
Learn more about Volumes:
https://brainly.com/question/12798020
#SPJ1
Which function represents a vertical stretch of the function ƒ (x) = e^x
a)g(x)=e^x+7
b)g(x)=1/3e^x
c)g(x)=5e^x
d)g(x)=e^4x
Answers
Answer:
The function that represents a vertical stretch of the function ƒ (x) = e^x is option c) g(x) = 5e^x.
To see why, we can compare the graphs of the two functions. The graph of ƒ(x) = e^x is an exponential function that starts at the point (0,1) and increases rapidly as x increases. The graph of g(x) = 5e^x is also an exponential function, but it starts at the point (0,5), which is five times higher than the starting point of ƒ(x). This means that g(x) is a vertical stretch of ƒ(x) by a factor of 5.
Option a) g(x) = e^x + 7 is a vertical shift of ƒ(x) by 7 units, but it does not represent a vertical stretch.
Option b) g(x) = 1/3e^x is a vertical compression of ƒ(x) by a factor of 1/3, rather than a vertical stretch.
Option d) g(x) = e^4x represents a horizontal stretch of ƒ(x) by a factor of 1/4, but it does not represent a vertical stretch.
The area of the patio is enter your response here , so the cost of concrete is $ enter your response here. The area of the garden is enter your response here , so the cost of soil is $ enter your response here. The total area of the deck is enter your response here , so the cost of wood is $ enter your response here. So, Yuri will spend $ enter your response here more on concrete than on soil and wood. (Type integers or decimals. )
Answers
Yuri will spend $ X more on concrete than on soil and wood.
When answering questions on Brainly, it is important to be factually accurate, concise, and professional.
It is also important to provide a step-by-step explanation of how you arrived at your answer.
The question is asking about the cost of materials for a patio, garden, and deck.
Let's break down the information we have.
Area of the patio = enter your response
Here
Cost of concrete = $ enter your response
Here
Area of the garden = enter your response
here
Cost of soil = $ enter your response
here
Total area of the deck = enter your response
here
Cost of wood = $ enter your response
here
Yuri will spend $ enter your response here more on concrete than on soil and wood.
To find the cost of each material, we need to multiply the area by the cost per unit area.
For example, the cost of concrete would be the area of the patio multiplied by the cost of concrete per unit area.
Let's call the cost per unit area for concrete C, the cost per unit area for soil S, and the cost per unit area for wood W.
Area of patio = P
Cost of concrete = C
Area of garden = G
Cost of soil = S
Total area of deck = D
Cost of wood = W
Yuri will spend X more on concrete than on soil and wood.
To find the values of P, C, G, S, D, and W, we need to use the information given in the question.
However, some values are missing.
We can use the given information to create equations that will help us find these values.
For example, we know that the total area of the deck is the sum of the area of the patio and the area of the garden, so we can write:
D = P + G
Similarly, we can write an equation for the cost of each material.
For example, the cost of concrete is the area of the patio multiplied by the cost per unit area for concrete, so we can write:
C = P * C
Similarly, we can write equations for the cost of soil and wood:
S = G * W, W = D * W
Now we have three equations and three unknowns: P, G, and D. We can solve this system of equations to find these values.
Let's solve for P and G first.
We'll use the equation
D = P + G
to eliminate G from the equations.
C = P * CS = G * WP = D - G
Substitute P = D - G into the first two equations.
C = (D - G) * CW = D * W - G * W
Now we have two equations and two unknowns: D and G.
We can solve for these values.
We'll use the equation
W = D * W - G * W
to eliminate W from the equations.
C = (D - G) * CS = G * SD = P + G = 2G - (W / C)
Substitute D = P + G into the first two equations.
C = P * C + G * CS = G * SW = P + G - DC = P * C + (D - P) * C + (W / C) * C = 2P * C + W
We can now solve for P, G, and D.
P = (C + S + W / C) / 2G = (S + W / C) / 2D = P + G = (C + S + W / C) / 2 + (S + W / C) / 2P = enter your response
here
C = enter your response
here
S = enter your response
here
W = enter your response
here
G = enter your response
here
D = enter your response
here
Now we can find the value of X, which is the difference between the cost of concrete and the combined cost of soil and wood.
X = C - (S + W)X = enter your response.
The area of the patio is enter your response here , so the cost of concrete is $ enter your response here. The area of the garden is enter your response here , so the cost of soil is $ enter your response here. The total area of the deck is enter your response here , so the cost of wood is $ enter your response here.
For similar question on cost
https://brainly.com/question/29509552
#SPJ11
Question:
Yuri bought a new house. The diagram shows the layout of his backyard. Yuri is designing improvements that he wants to make. Yuri plans to fill the patio with concrete, the garden with a special soil mixture, and the remaining areas that surround the hot tub with a wood deck. The table shows the costs associated with each project. How much more will Yuri spend on concrete than on soil and wood?