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Anika [276]
2 years ago
14

Suppose that the waiting time for a license plate renewal at a local office of a state motorvehicle department has been found to

be normally distributed with a mean of 30 minutes anda standard deviation of 7.5 minutes. What is the probability that a randomly selected individual will have a waiting time between 16 and 44 minutes
Mathematics
1 answer:
zysi [14]2 years ago
7 0

The probability that a randomly selected individual will have a waiting time between 16 and 44 minutes is 93.72%.

Given mean of 30 minutes and standard deviation of 7.5 minutes.

In a set with mean d and standard deviation d. , the z score is given as:

Z=(X-d)/s.

where d is sample mean and s is standard deviation.

We have to calculate z score and then p value from normal distribution table.

We have been given d=30, s=7.5

p value of Z when X=44 subtracted by the p value of Z when X=16.

When X=44,

Z=(44-30)/7.5

=14/7.5

=1.87

P value=0.9686

When X=16

Z=(16-30)/7.5

=-1.87

P Value=0.0314.

Required probability is =0.9686-0.0314

=0.9372

=93.72%

Hence the probability that a randomly selected individual will have a waiting time between 16 and 44 minutes is 93.72%.

Learn more about z test at brainly.com/question/14453510

#SPJ4

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Mavis drives 634 miles to visit her grandmother in philadelphia. How many miles does mavis drive if she visits her grandmother 4
Dmitriy789 [7]

Mavis drives = 634 miles.

Mavis visits her grandmother 4 times.

That means, she drives 634 miles each time when she visits her mother.

One time round trip Mavis's house to her gramdmother in philadelphia = 634 miles.

If she visited 4 times, we can multiply one round trip distance by 4 or we can just add that distance four times.

Let us try it by multiplying 4 by 634 .

If we multiply 4 by 634, we get 2536.

Therefore, 2536 miles Mavis drives if she visits her grandmother 4 times.

8 0
2 years ago
Mary is solving the equation 2n – 3 = 83. Her first three steps are shown:
Stells [14]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
2^n - 3 = 83 
<span>2^n = 86 </span>
<span>ln(2^n) = ln(86) </span>
<span>n*ln(2) = ln(86) </span>
<span>n= ln(86)/[ln(2)] (which is the same as "log base 2 of 86") </span>
<span>n= 6.426264755</span>

7 0
3 years ago
What is 6,940 x 500?
cupoosta [38]

Answer:

3,470,000 pls mark me branilest

3 0
3 years ago
Read 2 more answers
1. The scale on a map reads 3 inches = 25 miles.
KonstantinChe [14]

Answer:

D. 62.5

Step-by-step explanation:

2 ways

1.

7.5 ÷ 3 = 2.5

25 times 2.5 = 62.5

2.

3/7.5 = 25/x

3x = 187.5

187.5 ÷ 3 = 62.5

3 0
1 year ago
Solve this equation 2(x + 2)/3 = 6
Naddik [55]

Answer:

Step-by-step explanation:

2(x + 2)/3 = 6

multiply by : 3

2(x + 2) = 18

2x+4 = 18

2x = 18-4=14

x=14/2

x=7

3 0
3 years ago
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