the family arcade center charges an entry fee of 11$ plus an additional 1$ per game played
Answer:
Option (c) is correct.
Average expense is given by function [tex]C(x)=\frac{\$11+\$1x}{x}[/tex]
Step-by-step explanation:
Given : The family arcade center charges an entry fee of 11$ plus an additional $1 per game played.
We have to choose from the given options a function that describes the average expense for a player per game played.
Let x be the number of game played.
So, The entry fee will be same for all that is $ 11
And in addition $1 is charged per game played.
when they play x games the charge will be $1 × x = $ x
Thus,
Average expense is defined as the total charge divided by number of player per game played.
That is Total charge per person = $ 11+ $1x
Since, there are x game played.
Thus, Average expense is given by function
[tex]C(x)=\frac{\$11+\$1x}{x}[/tex]
Rob cuts a 15-foot wire into 8 equal pieces. about how long is each piece?
Derek ran 3/8 of a race before he had to stop for a break. If the race is 6 miles long, did Derek run more than, less than, or equal to 6 miles before he took a break?
simplify the complex fraction
can someone please help me with this equation? thank you.
3^2•3^n simplifies to 3^20 what is the value of the exponent n?
a pyramid has a square base. Its volume is 48 cubic centimeters and its height 4 centimeters. What is the length of one side og the base?
A 14.5-gallon gasoline tank is 3434 full. How many gallons will it take to fill the tank? Write your answer as a mixed number.
and are similar. Find the value of x. A. 5 B. 15 C. 60 D. 240
6 Bands were going to play at a concert. How many ways can the concert manager send them on stage?
A manager of a grocery store wants to determine if consumers are spending more than the national average. The national average is $150.00 with a standard deviation of $30.20. The manager collects 40 random receipts and finds that the average is $160. Complete a hypothesis test with a significance level of 2.5% to determine if the average customer spends more in his store than the national average. Which of the following is a valid conclusion for the manager based on this test?
Answer:
We conclude that consumers are spending more than the national average.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = $150.00
Sample mean, [tex]\bar{x}[/tex] = $160
Sample size, n = 40
Alpha, α = 0.025
Population standard deviation, σ = $30.20
First, we design the null and the alternate hypothesis
[tex]H_{0}: \mu = 150\text{ dollars}\\H_A: \mu > 150\text{ dollars}[/tex]
We use One-tailed z test to perform this hypothesis.
Formula:
[tex]z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }[/tex]
Putting all the values, we have
[tex]z_{stat} = \displaystyle\frac{160 - 150}{\frac{30.20}{\sqrt{40}} } = 2.0942[/tex]
Now, [tex]z_{critical} \text{ at 0.025 level of significance for one tailed test } = 1.96[/tex]
Since,
[tex]z_{stat} > z_{critical}[/tex]
We reject the null hypothesis and accept the alternate hypothesis. We conclude that consumers are spending more than the national average.
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The sixth grade art students are making a mosaic using tiles in the shape of right triangles. Each tile has leg measures of 3 centimeters and 5 centimeters. If there are 200 tiles in the mosaic, what is the are of the mosaic? Explain. PLEASE HELP!!!
What is 3^2/3 equal to? A.3√9 B.2√9 C.3√27 D.2√27
The Bureau of Justice Statistics reports that the number of Americans on probation increased 76% from 1980 to 1995 and that 3.09 million Americans were on probation in 1995. If the rate of increase continues in the same way for the next 15-year period, what might be the number of Americans on probation in 2010?
Find a vector equation and parametric equations for the line segment that joins p to q. p(1, −1, 7), q(7, 6, 1) vector equation r(t) = <1+6t,−1+7t,7−6t> parametric equations (x(t), y(t), z(t)) =
The vector equation for the line segment joining the points p(1, -1, 7) and q(7, 6, 1) is r(t) = <1+6t, -1+7t, 7-6t> and the corresponding parametric equations are x(t) = 1 + 6t, y(t) = -1 + 7t, z(t) = 7 - 6t.
Explanation:To find the vector and parametric equations for the line segment joining two points p(1, -1, 7) and q(7, 6, 1), we first need to understand that the vector equation for a line segment in space is given by r(t) = p + t (q - p), where 0 ≤ t ≤ 1, and p and q are the coordinates of the points. The parametric equations are obtained by expressing the x, y, and z coordinates of r(t) as individual functions of t.
Substituting the given points into the vector equation we get: r(t) = <1+6t, -1+7t, 7-6t>. Then, the corresponding parametric equations will be x(t) = 1 + 6t, y(t) = -1 + 7t, and z(t) = 7 - 6t.
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A zoo has three panda bears and five giraffes. What is the ratio of panda bears to giraffes at that zoo?
Consider a binomial experiment with n = 7 trials where the probability of success on a single trial is p = 0.35. (round your answers to three decimal places.) (a) find p(r = 0). (b) find p(r ≥ 1) by using the complement rule.
Answer:
yes
Step-by-step explanation:
How many different possible outcomes are there when Jillana spins the spinner below and then flips the coin?
The spinner is from 1-6.
Answer:
There are total 12 outcomes
Step-by-step explanation:
The number of outcomes in spinning a spinner is 6 (getting a number from 1 to 6)
The number of outcomes in flipping a coin=2 (head or tail)
Hence, total 12 outcomes are possible which are:
(1,H) (2,H) (3,H) (4,H) (5,H) (6,H)
(1,T) (2,T) (3,T) (4,T) (5,T) (6,T)
Please help me with this question
The prism is completely filled with 1750 cubes that have edge length of 1/5 feet. What is the volume of the prism,
EXPERTS/ACE/GENIUSES
A square playground has an area of 175 m2. What is the approximate length of each side of the playground? Round your answer to the nearest meter
If the area of a square playground is 175 [tex]m^{2}[/tex] then the approximate length is 13 meters.
What is square?A square is a two dimensional figure having four vertices, four edges, four angles and all the sides are equal to each other. The perimeter is equal is equal to 4*side and the area is side*side.
How to find side of square?We have been given the area of the square playground equal to 175 meter square. We know that the area of a square is side*side means [tex]side^{2}[/tex].
Put the value of 175 equal to side square and we will get the value of slide.
Area =[tex]side^{2}[/tex]
175=[tex]side^{2}[/tex]
side=[tex]\sqrt{175}[/tex]
Side=13.22m
If we round to nearest meter then it will be equal to 13m.
Hence if the area of a square playground is 175 meter square then the side will be equal to 13m.
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12x3+4x3+3x+1 factor by grouping
A math test took 50 minutes to complete. The test ended at 3:55. What time did the test begin?
A math test ended at 3:55 and it took 50 minutes to complete. What time did the math test start?
The math test started at 3:05.
If we know that the math test ended at 3:55 and lasted 50 minutes, we can subtract 50 minutes from 3:55 and we will get an answer of 3:05.
Therefore, the math test started at 3:05.
how much difference is there between investing $5,000 at 4% simple interest for 5 years and investing that same amount at 4% compounded quarterly
Can somebody please help me out ?
Shelly has a photo that is 7 1/3 inches tall. she wants to shrink it down to fit in a picture frame that is only 5 1/3 inches tall. the photo shop can only reduce photos by certin fractions. they can reduce it to 2/3 the original size, 3/4 the original size, or 5/9 the original size. which reduction should she use so the picture fills as much of the frame as possible, without being too large?
how to do this 24:96 = 5:?
find the product 3012 and 4