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fomenos
3 years ago
6

Which expression can be used to find the surface area of the following rectangular prism?

Mathematics
1 answer:
Iteru [2.4K]3 years ago
4 0
A is the right answer
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Not all visitors to a certain company's website are customers. In fact, the website administrator estimates that about 5% of all
Gnom [1K]

Answer:

0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

Step-by-step explanation:

For each visitor of the website, there are only two possible outcomes. Either they are looking for the website, or they are not. The probability of a customer being looking for the website is independent of other customers. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

5% of all visitors to the website are looking for other websites.

So 100 - 5 = 95% are looking for the website, which means that p = 0.95

Find the probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

This is P(X = 2) when n = 4. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = x) = C_{4,2}.(0.95)^{2}.(0.05)^{2} = 0.0135

0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

5 0
3 years ago
The figure shown below is a rhombus. Give the angle value (numerical, not the letters.
Rzqust [24]

Answer:

90 deg

Step-by-step explanation:

Recall that for a rhombus, the diagonals always intersect at right angles.

Hence angle PXM is 90 deg

6 0
4 years ago
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Dil, Coleman
serg [7]

Answer: likely

Step-by-step explanation: Since they pulled out many red dresses, there is a better chance of pulluing out a red dress

5 0
3 years ago
If two lines are perpendicular, what is the measure of the vertical angles?
Rashid [163]
90 degrees because perpendicular lines<span> are two or more lines that intersect at a 90-degree angle.</span>
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3 years ago
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What is the surface area of the right prism below? A 432 sq units B. 448 sq units C. 480 sq units D. 400 sq units​
AVprozaik [17]

Answer:

400 sq units.................

4 0
3 years ago
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