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3 years ago

Write each number as a product of prime numbers

Mathematics

1 answer:

worty [1.4K]3 years ago

5 0

Answer:

a. 2 x 2 x 2 x 2 b. 2 x 2 x 2 x 2 x 2

Step-by-step explanation:

2 is a prime number so 16 as the product of prime number is 2 x 2 x 2 x 2 and same for 32

You might be interested in

It takes 19.8 hours of work to plant a field of vegetables. Each person in the Fram family worked for 3.3 hours to help plant th

Lena [83]

Answer:

There are 6 people in the Fram family

Step-by-step explanation:

19.8 ÷ 3.3 = 6

Hope this helped!!

6 0

3 years ago

There are 32 pupils in a class. 20 of them are girls. What is the ratio of boys to girls in it’s simplest form

Ray Of Light [21]

Hello!

If there are 32 people in total in the class, and 20 of them are girls, that means there are 12 boys in the class

so the ratio of boys to girls is 12:20

to get simplest form, divide by the greatest common factor. which in this case, is 4.

12 / 4 = 3

20 / 4 = 5

your final answer is: boys:girls, 3:5

I hope this helps, and have a nice day!

7 0

3 years ago

Data from the Centers for Disease Control and Prevention indicate that weights of American adults in 2005 had a mean of 167 poun

sesenic [268]

Answer:

92.65% probability that the total weight in a random sample of 47 American adults exceeds 7500 pounds in 2005.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For sums the theorem can also be used, with mean $n*\mu$ and standard deviation $s = \sqrt{n}*\sigma$

In this problem, we have that:

$n = 47, \mu = 47*167 = 7849, s = \sqrt{47}*35 = 240$

Use this information to estimate the probability that the total weight in a random sample of 47 American adults exceeds 7500 pounds in 2005.

This is 1 subtracted by the pvalue of Z when X = 7500. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{7500 - 7849}{240}$

$Z = -1.45$

$Z = -1.45$ has a pvalue of 0.0735

1 - 0.0735 = 0.9265

92.65% probability that the total weight in a random sample of 47 American adults exceeds 7500 pounds in 2005.

5 0

3 years ago

How many solutions does the system have?

malfutka [58]

The answer is A)Exactly one solution

3 0

3 years ago

Read 2 more answers

I inserted a picture of a question please state whether the answer is a b c or dI’ll insert a picture of question c and d

dangina [55]

The given function is:

$f(x)=x^2$

It is required to find the graph of g(x)=1/3 f(x).

Recall that the graph of a function g(x)=a f(x) is derived as a result of vertically shrinking the graph of f(x) towards the x-axis, where 0

Notice that in this case, a=1/3, which falls in the given interval for a vertical shrink.

Start with the graph of f(x)=x², which is the parent function for a quadratic function (graph in red):

Next, vertically shrink this graph towards the x-axis by a factor of 1/3 to graph, g(x)=1/3 f(x) in blue:

Notice that the graph that matches this from the options is the graph in option D.

The correct answer is option D.

5 0

2 years ago