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Nimfa-mama [501]
3 years ago
7

Use the net to find the lateral area of the prism. ___cm^2

Mathematics
1 answer:
prisoha [69]3 years ago
5 0

Answer:

900\ cm^2

Step-by-step explanation:

We can notice that the the prism provided is a rectangular prism.

By definition, The lateral  area of a rectangular prism can be calculated by multiplying the  perimeter of its base by its height.

The height is:

height=15\ cm

Then, the perimeter of the base is:

Perimeter=17\ cm+17\ cm+13\ cm+13\ cm=60\ cm

Then the lateral area is:

LA=60\ cm*15\ cm\\\\LA=900\ cm^2

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Answer:

B) n-8=42

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the number is represented by "n" in this problem.

"and" indicates where the symbol goes.

"is" means "=".

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A student who is trying to write a paper for a course has a choice of two topics, A and B. If topic A is chosen, the student wil
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Answer:

P(Topic A) = 0.91

P(Topic B) = 0.9163

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Step-by-step explanation:

If Topic A is chosen, 2 books will be ordered (n=2)

If topic B is chosen, 4 books will be ordered (n=4)

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We will <u>use the binomial distribution</u> to find out which topic should the student choose to maximize the probability of writing a good paper. The binomial distribution formula is:

P(X=x) = ⁿCˣ pˣ qⁿ⁻ˣ

where p = probability of success

           q = probability of failure

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           x = no. of successful trials

For Topic A, n = 2, p=0.7 and q=0.3. If topic A is chosen, the student will use at least half the books i.e. he will use either 1 or 2 books. So,

P(Topic A) = P(X=1) + P(X=2)

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P(Topic A) = 0.91

For topic B, n=4, p=0.7 and q=0.3. If topic B is chosen, the student will choose 2 or more books i.e. 2, 3 or 4 books.

P(Topic B) = P(X=2) + P(X=3) + P(X=4)

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P(Topic B) = 0.9163

The student should choose Topic B to maximize the probability of writing a good paper because P(Topic B)>P(Topic A) as calculated above.

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the original figure doesnt change shape, only location

Step-by-step explanation:

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