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belka [17]
3 years ago
13

A student who is trying to write a paper for a course has a choice of two topics, a and

Mathematics
1 answer:
Kitty [74]3 years ago
4 0
Say she chooses topic A. She needs at least one book to arrive on time. The probability that no books arrive on time is 0.1 x 0.1 = 0.01 so the probability that at least one book arrives on time is 1 - 0.01 = 0.99.
Say she chooses topic B. She needs at least two books to arrive on time. The probability of no books arriving on time is 0.1 x 0.1 x 0.1 x 0.1 = 0.0001. The probability of exactly one book arriving on time is 4 x 0.1 x 0.1 x 0.1 x 0.9 = 0.0036 (binomial probability distribution formula - the 4 comes from 4C1). So the probability of her not getting enough books is 0.0001 + 0.0036 = 0.0037 and the probability she does get the books she needs on time is 1 - 0.0037 = 0.9963.
So she should choose topic B.
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Usimov [2.4K]
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3 years ago
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Based on the graph which congruence theorems or postulates are reasons why these graphs are equal?
AnnZ [28]

Triangles DEF and JKL can be proven to be congruent triangles based on:

C. ASA

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F. LA

<h3>What is the ASA Congruence Theorem?</h3>

The ASA congruence theorem states that if two triangles that are have two pairs of corresponding congruent angles and a pair of corresponding included congruent sides, then both triangles are congruent to each other.

<h3>What is the LA Congruence Theorem?</h3>

The LA congruence theorem states that two right triangles are congruent if they have a pair of congruent legs and a pair of congruent angles that are corresponding to each other.

<h3>What is the AAS Congruence Theorem?</h3>

The AAS congruence theorem states that two triangles with two pairs of congruent angles and a pair of congruent non-included sides are congruent.

From the image given, triangles DEF and JKL can be proven to be congruent triangles using the LA, AAS, and ASA congruence theorems.

Learn more about the LA, AAS, and ASA congruence theorems on:

brainly.com/question/2102943

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7 0
2 years ago
PLEASE HELP 20 POINTS<br> multiply and simplify. <br> -3x^2y^2*y^4x^3
Elena-2011 [213]
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For this problem:
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5 0
3 years ago
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3 years ago
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