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DaniilM [7]
3 years ago
10

PLEASE HELP What is the following product?

Mathematics
1 answer:
nikitadnepr [17]3 years ago
7 0
The following product is D
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RADIATION ON MARS
Darina [25.2K]

Answer:

0.71% probability that the daily average amount of radiation received by a rover will exceed 102

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.

In this problem, we have that:

\mu = 100, \sigma = 20, n = 600, s = \frac{20}{\sqrt{600}} = 0.8165

What is the probability that the daily average amount of radiation received by a rover will exceed 102?

This is 1 subtracted by the pvalue of Z when X = 102. So

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

By the Central Limit Theorem

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

Z = \frac{102 - 100}{0.8165}

Z = 2.45

Z = 2.45 has a pvalue of 0.9929

1 - 0.9929 = 0.0071

0.71% probability that the daily average amount of radiation received by a rover will exceed 102

5 0
3 years ago
Explain why the quotient of two integers with different signs is negative PLEASE.
faltersainse [42]

Answer:

Ok, so we have the fact that plus +minus=minus

Thats the fact. It always works that way that same signs means positive and different means negative, as explained with logic.

4+(-5)

So we know that 4 is positive and -5 is negative

if you look at it through a number line, substracting 5 from 4 you have

3--->2---->1---->0---->-1

Under zero, the negatives start, so its proved by maths and logic as well.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Banks provide a number of services including all of the following except __________.
olchik [2.2K]

Answer:

A. Payday Lending

Explanation:

Payday Lending is common for <em>small lending companies</em> and <u>not banks</u>. They assist clients who have a <em>minimal amount of salary</em> to borrow <u>a small amount of money with a high interest.</u> The amount of money he can borrow will depend on the amount of salary he receives per month. <em>The client will not be required to give any form of collateral</em> for the borrowed money, thus, the client is said to be <em>high-risk</em>. However, he will have to return the money over a<em> short period of time</em> with an interest rate that is high. Though it is easy to get a loan with this kind of service, you have to make sure that you are employed.

<em>Banks prefer to offer loans to people who have a steady income and a certain amount of salary.  </em>

7 0
3 years ago
Geometry Question Please Answer Quick!
kicyunya [14]

The area is (BK) times (AK or CK).

If you have no numbers given, it's not possible to find the length of BK, or the actual number that represents the area.


6 0
3 years ago
Need help! Will mark u brainliest for the right answer!
kirill115 [55]

To find the perimeter of this blue figure, add together the shown lengths of the six sides.  

The three measurements on the top have the LCD 4, so we combine 14 3/4, 4 2/4 and 8 2/4.  The sum is 26 7/4, or 27 3/4, or 27.75.

The three measurements on the bottom share the LCD 5, so we can immediately combine them, obtaining 32 8/5, or 33 3/5, or 33.60.

Combining 27.75 and 33.60 results in 61.35, or 61 35/100, or 61 7/20.

The perimeter of the given figure is 61 7/20.

3 0
3 years ago
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