PLZ HELP URGENT GET THE BRAINLIEST AND MORE POINTS

Mathematics

1 answer:

lord [1]2 years ago

7 0

Answer:

The 27th term is 22

Step-by-step explanation:

Let the first term is a and common difference is d.

The nth term is:

aₙ = a + (n - 1)d

We have:

a₆ = 15
a₉ = 16

The difference of these terms is:

(a + 8d) - (a + 5d) = 16 - 15
3d = 1
d = 1/3

Then the first term is:

a + 5*1/3 = 15
a = 15 - 5/3 = 13 1/3

The nth term equation is:

aₙ = 13 1/3 + 1/3(n - 1) = 1/3n + 13

If the nth term is 22, find n:

1/3n + 13 = 22
1/3n = 22 - 13
1/3n = 9
n = 9*3
n = 27

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Answer: 0.0304

Step-by-step explanation:

A z-test is a statistical test that is used to determine if two population means are different when the variances are known and the sample size is large. The test statistic is assumed to have a normal distribution, and nuisance parameters such as standard deviation should be known in order for an accurate z-test to be performed.

A z-statistic, also known as z-score, is a number representing how many standard deviations above or below the mean population a score derived from a z-test is.

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sample size,n = 36

mean,u = 16 ounce

standard deviation,s = 0.2 pounds = 3.2 ounce

x = 15 ounce

z = (x-u) / (s/sqrt(n)) = -1.875

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P(X<15) = P(Z<-1.875)

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0.0304

The Answer is 0.0304.