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Marina CMI [18]
2 years ago
5

Evan places a rectangular birdbath in his garden. The dimensions are 24, 8, and 11

Mathematics
1 answer:
ira [324]2 years ago
8 0

The maximum amount of water the birdbath can hold is 288 cubic in which is the volume of the cuboid.

<h3>What is a cuboid?</h3>

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

We have a rectangular birdbath in his garden. The dimensions are 24, 8, and 1\dfrac{1}{2} inches

The maximum amount of water in the birdbath = volume of the birdbath

\rm = 24 \times 8 \times 1\dfrac{1}{2}

\rm = 24 \times 8 \times \dfrac{3}{2}

= 288 cubic in

Thus, the maximum amount of water the birdbath can hold is 288 cubic in which is the volume of the cuboid.

Learn more about the cuboid here:

brainly.com/question/9740924

#SPJ1

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Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the proba
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Question:

A = {2, 3, 4, 5}

B = {4, 5, 6, 7, 8}

Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability that the sum of the two integers will equal 9?

A. 0.15

B. 0.20

C. 0.25

D. 0.30

E. 0.33

Answer:

Option B: 0.20 is the probability of the sum of the two integers.

Explanation:

The sample space for selecting 2 numbers is given by

4\times 5 = 20

We need to determine the probability that the sum of two integers will be equal to 9.

Hence, we need to add the two integers from the sets A and B such that their sum will be equal to 9.

Hence, the sets are (2,7),(3,6),(4,5),(5,4)

Thus, the total number of sets whose sum is equal to 9 = 4

The probability that the sum of the two integers will equal 9 is given by

P=\frac{4}{20}

P=\frac{1}{5}

P=0.20

Thus, the probability that the sum of the two integers will equal 9 is 0.20

Hence, Option B is the correct answer.

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Factor completely 3x − 12.<br><br> 3(x − 4)<br><br> 3(x + 4)<br><br> 3x(−12)<br><br> Prime
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It is estimated % of all adults in United States invest in stocks and that % of U.S. adults have investments in fixed income ins
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Complete question :

It is estimated 28% of all adults in United States invest in stocks and that 85% of U.S. adults have investments in fixed income instruments (savings accounts, bonds, etc.). It is also estimated that 26% of U.S. adults have investments in both stocks and fixed income instruments. (a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places. (b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

Answer:

0.929 ; 0.306

Step-by-step explanation:

Using the information:

P(stock) = P(s) = 28% = 0.28

P(fixed income) = P(f) = 0.85

P(stock and fixed income) = p(SnF) = 26%

a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places.

P(F|S) = p(FnS) / p(s)

= 0.26 / 0.28

= 0.9285

= 0.929

(b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

P(s|f) = p(SnF) / p(f)

P(S|F) = 0.26 / 0.85 = 0.3058823

P(S¦F) = 0.306 (to 3 decimal places)

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3 years ago
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