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saw5 [17]
2 years ago
8

A caterer charges a setup fee of $50, plus $20 per person. Write an equation representing the total charge for the catering.

Mathematics
1 answer:
tia_tia [17]2 years ago
6 0

Answer: $50 + $20(x) | X being the number of people |

<em>I hope this helps, and Happy Holidays! :)</em>

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The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 3639 3639 miles, with a var
Andrei [34K]

Answer:

96.6% probability that the mean of a sample would differ from the population mean by less than 126 miles

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

A reminder is that the standard deviation is the square root of the variance.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

\mu = 3639, \sigma = \sqrt{145161} = 381, n = 41, s = \frac{381}{\sqrt{41}} = 59.5

Probability that the mean of the sample would differ from the population mean by less than 126 miles

This is the pvalue of Z when X = 3639 + 126 = 3765 subtracted by the pvalue of Z when X = 3639 - 126 = 3513. So

X = 3765

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{3765 - 3639}{59.5}

Z = 2.12

Z = 2.12 has a pvalue of 0.983

X = 3513

Z = \frac{X - \mu}{s}

Z = \frac{3513 - 3639}{59.5}

Z = -2.12

Z = -2.12 has a pvalue of 0.017

0.983 - 0.017 = 0.966

96.6% probability that the mean of a sample would differ from the population mean by less than 126 miles

3 0
3 years ago
Graph the function f(x)= -{x}
matrenka [14]

Step-by-step explanation:

Source: Desmos.

Graph represents the function: f(x)= -{x}

8 0
2 years ago
Please help Urgent giving brainlist!
notsponge [240]

Answer:

f=-\frac{5}{3}

Step-by-step explanation:

-\frac{3}{4}f=\frac{5}{4}

(4)-\frac{3}{4}f=(4)\frac{5}{4}

-3f=5

\frac{-3f}{-3}=\frac{5}{-3}

f=-\frac{5}{3}

4 0
3 years ago
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6 0
3 years ago
Check all of the points that are solutions to the system of inequalities.
sashaice [31]

Answer:

B and E

Step-by-step explanation:

A: 3 + 6 < 4 + 3 and 6 > 4

9 < 7 is false so A is not the answer.

B: 1 + 5 < 4 + 3 and 5 > 4

6 < 7 and 5 > 4 are true so B is an answer.

C: 2 + (-1) < 4 + 3 and -1 > 4

-1 > 4 is false so C is not an answer.

D: 1 + 1 < 4 + 3 and 1 > 4

1 > 4 is false so D is not an answer.

E: 2 + 8 > 4 + 3 and 8 > 4

10 > 7 and 8 > 4 are both true so E is an answer.

F: -1 + 8 > 4 + 3 and 8 > 4

7 > 7 is false so F is not an answer.

4 0
3 years ago
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