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djverab [1.8K]
3 years ago
7

Find the value of a2 + b when a = -2 and b = 5

Mathematics
1 answer:
REY [17]3 years ago
4 0

Answer: 9

Step-by-step explanation: In this problem, we're going to evaluate a² + b knowing that <em>a</em> = -2 and <em>b</em> = 5.

So the first thing we want to do is substitute these numbers into our problem.

Since <em>a</em> = -2, we will replace <em>a</em> with a -2 and as we do that, we will put that -2 in parentheses and square it since we have a². Squaring a number just means multiplying a number by itself so (-2)² is equal to 4 since a negative multiplied by a negative gives us a positive.

Now we will replace <em>b</em> with 5 and now we have the following.

4 + 5 simplifies to 9.

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Answer:

your answer is 11 feet, or 132 inches.

Step-by-step explanation:

one bracelet needs 22 inches, but he's making six, so multiply.

you should get 132, which can be divided by 12 to see how many feet you need, since this is what the question requires.

Hope I Helped!

3 0
2 years ago
Consider randomly selecting a student at a large university, and let A be the event that the selected student has a Visa card an
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Answer:

1) is not possible

2) P(A∪B) = 0.7

3) 1- P(A∪B) =0.3

4) a) C=A∩B' and P(C)= 0.3

b)  P(D)= 0.4

Step-by-step explanation:

1) since the intersection of 2 events cannot be bigger than the smaller event then is not possible that P(A∩B)=0.5 since P(B)=0.4  . Thus the maximum possible value of P(A∩B) is 0.4

2) denoting A= getting Visa card , B= getting MasterCard the probability of getting one of the types of cards is given by

P(A∪B)= P(A)+P(B) - P(A∩B) = 0.6+0.4-0.3 = 0.7

P(A∪B) = 0.7

3) the probability that a student has neither type of card is 1- P(A∪B) = 1-0.7 = 0.3

4) the event C that the selected student has a visa card but not a MasterCard is given by  C=A∩B'  , where B' is the complement of B. Then

P(C)= P(A∩B') = P(A) - P(A∩B) = 0.6 - 0.3 = 0.3

the probability for the event D=a student has exactly one of the cards is

P(D)= P(A∩B') + P(A'∩B) = P(A∪B) - P(A∩B) = 0.7 - 0.3 = 0.4

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2 years ago
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Answer:

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