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forsale [732]
2 years ago
9

The distribution of passenger vehicle speeds traveling on a certain freeway in California is nearly normal with a mean of 73.7 m

iles/hour and a standard deviation of 4.72 miles/hour. The speed limit on this stretch of the freeway is 70 miles/hour.
(a) A highway patrol officer is hidden on the side of the freeway. What is the probability that 5 cars pass and none are speeding?
Assume that the speeds of the cars are independent of each other. (Round your answer to four decimal places.)
(b) On average, how many cars would the highway patrol officer expect to watch until the first car that is speeding?
(c) What is the standard deviation of the number of cars he would expect to watch?
Mathematics
1 answer:
umka2103 [35]2 years ago
5 0

Answer:

a)  0.2347, 0.0007

b) 1.30

c) 0.63

Step-by-step explanation:

Given –  

Mean = 73.4

Sigma = 4.7

Probability that the speed is greater than 70 is  

P (X>70) = P (z> (70-73.4)/4.7) = P (z>-0.72) = 0.7653

a) The probability that a car is not speeding = 1 - 0.7653 = 0.2347

The probability that all 5 cars are not speeding = (0.2347)5 = 0.0007

b) E (X) = 1/p = 1/0.7653 = 1.30  

c) Standard deviation = Sqrt (1-p/p) = (1-0.7653)/0.7653 = 0.63

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Red and grey bricks were used to build a decorative wall. The number of red bricks and grey bricks was 5/2. There were 140 brick
ozzi

Answer:

100 red bricks

Step-by-step explanation:

Let's say red bricks is equal to 5x

Gray bricks is equal to 2x

We have an equation

2x + 5x = 140

= 7x = 140

Divide through by 7 to get the value of x

X = 140/7

X = 20

Red bricks = 5(x)

= 5(20)

= 100

Gray bricks = 2(x)

= 2(20)

= 40

Therefore in conclusion the number of red bricks is 100.

5 0
2 years ago
Please help n show work
butalik [34]
Did show all work for ya

3 0
3 years ago
PLEASE HELP!!! At the state fair 6 employees were paid $6.93 an hour. They worked for 9 hours at regular price and then for 5 ho
castortr0y [4]

Answer:

Your answer should be 443.82

Step-by-step explanation:

Ok, so if 6 workers were paid 6.93 an hour each and worked 9 hours each then you would do 6.93 x 9 for the number of hours and the pay for each hour, which is 62. 37. Then you would times 62.37 by 6 because you have 6 workers and the question asks for how much they made in TOTAL. 62.37 x 6 is 344.22, then you still have you overtime hours. So if each worker makes 3.32 for every overtime hour then you would do 3.32 x 5 for the number of hours. And that equals 16.60, then you would multiply that by 6 for the number of workers, 16.60 x 6 = 99.60. So in total for regual hours they made 344.22, and in total for overtime hours they made 99.60. Now you add those to to get you overall  price which is 443.82. And that should be your answer

Hope I did some good :) Have a great day!

7 0
2 years ago
Melinda wants to reduce her expenses so she can balance her budget. Which variable expense can Melinda easily adjust?
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B. Because you can easily just eat at home and avoid paying to eat

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3 years ago
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The masses mi are located at the points pi. find the moments mx and my and the center of mass of the system. m1 = 2, m2 = 5, m3
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Most graphing calculators will do weighted averages pretty easily. It is mostly a matter of data entry.

mx = -2
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(x, y) = (mx, my)/10 = (-0.2, 1)

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3 years ago
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