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Natasha_Volkova [10]
3 years ago
6

The scale of a map is 1 inch equals 500 miles. City A is 650 miles from City c. How far is the distance on the map?

Mathematics
1 answer:
ra1l [238]3 years ago
4 0
1 inch is to 500 miles as
X inch is to 650 miles

X=1•650/500=1.3 inch

On the map will be 1.3 inch
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Time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with mean value
snow_tiger [21]

Answer:

a) The probability that the sample average amount of time taken on each day is at most 11 min.

P(X>11) = 0.2546

Step-by-step explanation:

<u>Step1:</u>-

Given data in a  normal distribution with mean value 9 min and standard deviation 3 min.

Let 'X' be the amount of time taken on each day

Given x = 11 , μ=9min and σ=3min

by using normal distribution

Z= \frac{x-mean}{S.D} = \frac{11-9}{3}

Z = 0.66>0

<u>Step2:</u>-

The probability that the sample average amount of time taken on each day is at most 11 min.

P(X>11) = P(z>z₁) = 0.5-A(z₁) ( check diagram)

                          = 0.5 - A(0.66)

                          = 0.5 - 0.2454 ( check normal table)

                          = 0.2546

<u>Conclusion</u>:-

<u>The probability that the sample average amount of time taken on each day is at most 11 min.</u>

<u>P(X>11) = 0.2546</u>

8 0
3 years ago
The height of a trapezoid is 8 in. And its area is 64 in2. One base of the trapezoid is 6 inches longer than the other base. Wha
slavikrds [6]

Answer:

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Step-by-step explanation:

The area of a trapezoid is

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64 = 1/2 (b+ b+6) *8

Combine like terms

64 = 4 (2b+6)

Divide each side by 4

64/4 = 4/4 *(2b+6)

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10/2 =2b/2

5=b

The second base is

5+6 =11

6 0
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Umnica [9.8K]

Answer:

21

Step-by-step explanation:

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The area of the given composite figure is 74.24cm^2

<h3>Area of composite figure</h3>

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Learn more on area of composite figures here: brainly.com/question/21135654

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