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andre [41]
3 years ago
6

A container is shaped like a rectangular prism and has a volume of 72 cubic feet. Give four different sets of measurements that

could be the dimensions of the container
Mathematics
1 answer:
Nata [24]3 years ago
3 0

Step-by-step explanation:

The formula for the volume of a prism is V = Bh

where,

B is the base area

h is the height.

Since, the base of the prism is a rectangle, therefore, volume of a rectangular prism = (L * B) * h

Assumptions:

Length, L and Width, B cannot be the same.

1.

h = 4 ft

B = 2 ft

L = 9 ft

2.

h = 4 ft

B = 3 ft

L = 6 ft

3.

h = 6 ft

B = 2 ft

L = 6 ft

4.

h = 2 ft

B = 2 ft

L = 18 ft

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Answer:

v=-5 and v=3

Step-by-step explanation:

We are given that

v^2-15=-2v

We have to find  two solutions of quadratic equation.

v^2+2v-15=0

Using addition property of equality

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v(v+5)-3(v+5)=0

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Hence, two solutions of quadratic equation are

v=-5 and v=3

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The probability of winning a raffle is 2/5. What is the probability of not winning the raffle?
Karo-lina-s [1.5K]

Answer:

3/5

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how many ways can 4 guests sit down in 6 seats in a row so that the leftmost place will be used and the rightmost place will be
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2 years ago
Assume that when adults with smartphones are randomly​ selected, 63​% use them in meetings or classes. If 7 adult smartphone
nlexa [21]

Answer:

5.78% probability that exactly 2 of them use their smartphones in meetings or classes.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they use their smarthphone in meetings or classes, or they do not. The probability of an adult using their smartphone on meetings or classes is independent of other adults. So we use the binomial probability distribution 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.

63% use them in meetings or classes.

This means that p = 0.63

7 adult smartphone users are randomly selected

This means that n = 7

Find the probability that exactly 2 of them use their smartphones in meetings or classes.

This is P(X = 2).

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

P(X = 2) = C_{7,2}.(0.63)^{2}.(0.37)^{5} = 0.0578

5.78% probability that exactly 2 of them use their smartphones in meetings or classes.

8 0
3 years ago
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