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Lelu [443]
3 years ago
10

Fast-food restaurants spend quite a bit of time studying the amount of time cars spend in their drive-throughs. Certainly, the f

aster the cars get through the drive-through, the more the opportunity for making money. QSR Magazine studied drive-through times for fast-food restaurants and found Wendy’s had the best time, with a mean time spent in the drive-through of 138.5 seconds. Assuming drive-through times are normally distributed with a standard deviation of 29 seconds, answer the following.
(a) Management wants to set a wait time over which a customer will not have to pay for their food. Of course, management wants to set that wait time to the 99th percentile. Find the X for the 99th percentile. (Hint: 99% = 0.9900). Round to the nearest whole second. Sullivan, Michael III. Fundamentals of Statistics: #40 (Ch 7.2). Pearson Education. Kindle Edition.
Mathematics
1 answer:
melisa1 [442]3 years ago
4 0

Answer:

For the 99th percentile, we have X = 206 seconds.

Step-by-step explanation:

Problems of normally distributed samples can be solved using 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.

In this problem, we have that:

\mu = 138.5, \sigma = 29

99th percentile:

Value of X when Z has a pvalue of 0.99. So we use Z = 2.325

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

2.325 = \frac{X - 138.5}{29}

X - 138.5 = 29*2.325

X = 205.92 = 206

For the 99th percentile, we have X = 206 seconds.

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3)There are 9 colorful socks in a drawer: 3 green, 2
Lelu [443]

Answer:

1/24 chance

Step-by-step explanation:

To begin you would need to find the probability of picking a green sock which would be 3/9; and you could simplify this to 1/3.

After that you need to find the probability of picking a purple sock out of the 8 left, which would provide you with 1/8. To find the probability of both you would multiply 1/8 by 1/3 to find the combined probability which would leave you with 1/24.

6 0
3 years ago
Please help pleeaasssee
Ulleksa [173]

Answer:

10

Step-by-step explanation:

just do 4-18 and u get the answer

5 0
3 years ago
Read 2 more answers
Help me please thanks
Illusion [34]

Answer:

x axis

Step-by-step explanation:

when the sign of the y value changes, it was reflected across the x axis. if the x sign changes, it was flipped across the y axis.

5 0
3 years ago
Choose a reasonable estimate. The mass of a bag of apples: 2g ? 2kg
baherus [9]

Answer:

The answer is most likely 2 kg

If this answer was helpful, please consider giving brainliest!

5 0
2 years ago
Read 2 more answers
Reposting becuase it want let me edit my last one and somebody spam answered it.
harkovskaia [24]

Answer:

5

5Step-by-step explanation:

If you use the distance formula you can solve it pretty easily. The distance formula is:

d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} \\

The two points you want are A and D. A is (-1, -4) and D is (3, -1). Plug that into the formula...

d = \sqrt{(3 - (-1))^2 + (-1 - (-4))^2}

d = \sqrt{4^2 + 3^2}

d = \sqrt{16 + 9}

d = \sqrt{25}

5

I can solve it in a different way if you want me to.

8 0
3 years ago
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