The gestation time of humans has an approximate normal distribution with a mean of 250 days and a standard deviation of 6.0 days. a simple random sample of newborns is taken. how large of a sample is needed so that the sampling distribution of has a standard deviation of 1 day

36

Step-by-step explanation:

The variance of one human is σ² = 36 days. Each gestation time for each human of the sample is independant of the other.

Both variance and mean of the sum of identically distributed indipendant random variables is equivalent to the product of the variance/mean of one element of the sample by the sample length.

Therefore, if we take the sum n of random variables with variance 36, then the variance of the sum will be 36*n. The sampling distribution is obtained from the sum by dividing by n. If we divide by a number, then the variance will be divided by its square. So the variance of the sampling distribution is 36*n/n² = 36/n, and the standard deviation is 6/√n days.

If we want the sampling distribution to have standard deviation equal to 1 day, then we need n such that

This shows that the sample length should be 36.

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841

they can both be solutions depends on the equation

step-by-step explanation:

what is the equation? ?