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Anna35 [415]
2 years ago
14

What is the prime factorization of 5? Enter your answer as a product of prime numbers, like 2 x 3, or as a single prime number,

like 17​
Mathematics
1 answer:
Otrada [13]2 years ago
8 0

Answer:

The prime factorization of 5 is 5 x 1

Step-by-step explanation:

5 is a prime number but the only factors that make up 5 are 5 and 1

Hope this helps!

You might be interested in
A box contains 300 raffle tickets. Only 15 tickets are winning tickets. What is the
Roman55 [17]

Answer:

5%

Step-by-step explanation:

15/300 = 0.05

5%

3 0
2 years ago
A researcher reports survey results by stating that the standard error of the mean is 25 the population standard deviation is 40
bezimeni [28]

Answer:

a) A sample of 256 was used in this survey.

b) 45.14% probability that the point estimate was within ±15 of the population mean

Step-by-step explanation:

This question is solved using the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use 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.

a. How large was the sample used in this survey?

We have that s = 25, \sigma = 400. We want to find n, so:

s = \frac{\sigma}{\sqrt{n}}

25 = \frac{400}{\sqrt{n}}

25\sqrt{n} = 400

\sqrt{n} = \frac{400}{25}

\sqrt{n} = 16

(\sqrt{n})^2 = 16^2[tex][tex]n = 256

A sample of 256 was used in this survey.

b. What is the probability that the point estimate was within ±15 of the population mean?

15 is the bounds with want, 25 is the standard error. So

Z = 15/25 = 0.6 has a pvalue of 0.7257

Z = -15/25 = -0.6 has a pvalue of 0.2743

0.7257 - 0.2743 = 0.4514

45.14% probability that the point estimate was within ±15 of the population mean

3 0
3 years ago
Pls help me it’s for math
sladkih [1.3K]

Answer:m = (3,1)

b = (0,-1)

Equation:2x + 3

Step-by-step explanation:hope this helps :)

Also, I love ❤️❤️❤️❤️❤️❤️ ur anime girl

6 0
2 years ago
Please Help! 30 points! Real answers pls The box plot below shows the total amount of time, in minutes, the students of a class
padilas [110]

Hii!

So I did this and I have A!

A: You cannot get the mean from the graph but you CAN get the third quartile!

B: To find the interquartile range (IQR) we subtract the third and first quartiles:

60-35 = 25

C:  An outlier would be much larger than the rest of the data or much smaller than the rest of the data. An outlier would make the "whisker" portion longer and could potentially slightly shift the box.

6 0
3 years ago
Read 2 more answers
Ma=np,for a is what<br>​
Julli [10]

Answer:

\displaystyle \frac{np}{m} = a

Step-by-step explanation:

You divide both sides by <em>m</em><em> </em>to get the above answer:

\displaystyle \frac{ma}{m} = \frac{np}{m} \\ \\ a = \frac{np}{m}

I am joyous to assist you anytime.

8 0
3 years ago
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