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Alexxandr [17]
1 year ago
12

The random variable X is normally distributed with mean 82 and standard deviation 7.4. Find the value of q such that P(82 − q &l

t; X < 82 + q) = 0.44.
Mathematics
1 answer:
mezya [45]1 year ago
8 0
P(82 - q < x < 82 + q) = 0.44
P(x < 82 + q) - P(82 - q) = 0.44
P(z < (82 + q - 82)/7.4 - P(z < (82 - q - 82)/7.4) = 0.44
P(z < q/7.4) - P(z < -q/7.4) = 0.44
P(z < q/7.4) - (1 - P(z < q/7.4) = 0.44
P(z < q/7.4) - 1 + P(z < q/7.4) = 0.44
2P(z < q/7.4) - 1 = 0.44
2P(z < q/7.4) = 1.44
P(z < q/7.4) = 0.72
P(z < q/7.4) = P(z < 0.583)
q/7.4 = 0.583
q = 0.583 x 7.4 = 4.31
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Step-by-step explanation:


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At smith’s Mountain Lake Boat Rentals, it cost $25 per hour to rent a pontoon boat, plus a one-time
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Jones family paid a total of $139

Step-by-step explanation:

Smith's Mountain Lake Boat provides Rental services that can be expressed as follows;

Total cost=cost per hour×number of hours rented+one time cleaning deal

For Benael's family;

Benael family total cost=Cost per hour×number of hours rented+one-time cleaning deal

where;

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Cost per hour=$25

Number of hours rented=11 am-6:30 pm=7 hours 30 minutes=7.5 hours

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For Jones family;

Jones family total cost=Cost per hour×number of hours rented+one-time cleaning deal

where;

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4 0
2 years ago
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Oduvanchick [21]

Answer:

The third one is unbiased because its not specific and it's not involving a group of people or a comparison of things. It's also not specific. It's asking about lowering the expensive sales tax in the city and not to certain people, etc..

Hope it's right:)

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2 years ago
Parallelogram ABCD is rotated to create image A'B'C'D'. On a coordinate plane, 2 parallelograms are shown. The first parallelogr
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Answer:

(x,y)→(y,-x)

Step-by-step explanation:

Parallelogram ABCD:

A(2,5)

B(5,4)

C(5,2)

D(2,3)

Parallelogram A'B'C'D':

A'(5,-4)

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C'(2,-5)

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A(2,5)→A'(5,-2)

B(5,4)→B'(4,-5)

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4 0
1 year ago
Read 2 more answers
The dotplot shows the heights of 25 students in Mrs. Navard’s statistics class.
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Answer:

A)Percentile for Lynette, the student who is 65 in. tall is 36th

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Step-by-step explanation:

Percentile : It is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations falls

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So, Percentile for Lynette, the student who is 65 in. tall is 36th

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22=x

So, No. of students below or st 88th percentile = 22

So, Asher is 22 inches tall.

4 0
1 year ago
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