Write 375 as a product of it's Prime Factors Give your answer in Index form.

Mathematics

1 answer:

DedPeter [7]3 years ago

7 0

<h3>375 as a product of it's Prime Factors : $375 = 3^1 \times 5^3$ </h3>

Solution:

Given that,

We have to write 375 as a product of it prime factors

Prime factorization of a number is done by breaking the given number down into the set of prime numbers which when multiplied together results in the original number

The Prime Factorization is: 3 x 5 x 5 x 5

Therefore, 375 as a product of it prime factors is:

$375 = 3 \times 5 \times 5 \times 5$

In exponential form we can write as,

$375 = 3^1 \times 5^3$

Thus 375 is written as product of its prime factors

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According to a marketing research study, American teenagers watched 14.8 hours of social media posts per month last year, on ave

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Answer:

The value of test statistics is 1.06.

Step-by-step explanation:

We are given that according to a marketing research study, American teenagers watched 14.8 hours of social media posts per month last year, on average. A random sample of 11 American teenagers was surveyed and the mean amount of time per month each teenager watched social media posts was 15.6. This data has a sample standard deviation of 2.5.

We have to test if the mean amount of time American teenagers watch social media posts per month is greater than the mean amount of time last year or not.

Let, NULL HYPOTHESIS, $H_0$ : $\mu$ = 14.8 hours {means that the mean amount of time American teenagers watch social media posts per month is same as the mean amount of time last year}

ALTERNATE HYPOTHESIS, $H_1$ : $\mu$ > 14.8 hours {means that the mean amount of time American teenagers watch social media posts per month is greater than the mean amount of time last year}