Following is a sample of the number of words spoken in each inauguration address for U. S. presidents. 1125, 2978, 1172, 1507, 4776, 3801, 2015, 2463, 4388, 135, 3967, 1,620 , 1437, 3217, 1340, 2308, 1681, 2546, 2158, 2170, 5433, 1729, 698 What is the 32nd percentile? Write only a number as your answer.

1620

Step-by-step explanation: first we arrange the values in increasing order

135 698 1125 1172 1340 1437 1507 1620 1681 1729 2015 2158 2170 2308 2463 2546 2978 3217 3801 3967 4388 4776 5433

The number of numbers is 23

To calculate the rank of values that falls below the 32nd percentile we use

R = p/100 * N

R is the rank

P is the percentile 32

N is the number of numbers 23

Therefore

R = 32/100 *23 = 7.36

we approximate to get 7

This means that the numbers up to the 7th number is below the 32nd percentile

That mean the answer is the 8th number 1620

Alternatively we can simply use the formular

R = p/100 * (N + 1)

R = 32/100 * (23 +1) = 7.68

Approximately 8

So the 8th value is the answer and that is 1620

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step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is