Find the value of each variable.

A right rectangular prism has base dimensions of 3 inches by 12 inches and a height of 5 inches. An oblique rectangular prism ha

KonstantinChe [14]

Yes they are. Given that a volume of a rectangular prism is V=l•w•h, we can plug them into an equation and compare them. I'll call the Right rectangular prism figure R and the oblique rectangular prism O

For Figure R, We know all the basic needs to find the volume. This means we can plug it in.

V=l•w•h
V=12•3•5
Now We can solve for V
V=12•15
V=180

The volume of the right rectangular prism is 180in^3

Now, For figure O.
V=9•4•5
V=9•20
V= 180.

With this in mind, We now can say that the volumes of both the rectangular prisms are the same.

8 0

3 years ago

Suppose that populations of men and women have the following summary statistics for their heights (in

Dominik [7]

Answer:

.13

Step-by-step explanation:

172-162 = 10

We can find the standard deviation of D by adding the variances of the heights and taking the square root:

σ

D

2

σ

D

2

σ

D

=σ

M

2

+σ

W

2

=7.2

2

+5.4

2

square root of 81

=9

Representing probability with area

When D= M-W =0, their heights are equal. When the man is taller, D is positive, and when the woman is taller, D is negative. Since we know the distribution of the difference D is normally distributed, the probability that the woman is taller than the man can be found by calculating the shaded area below D=0, in the corresponding normal distribution:

A standard normal curve is plotted on a horizontal axis representing D, that goes from negative 17 to 37. The mean, or mu sub D, = 10. The standard deviations, or sigma sub D = 9. The value 0 is marked. The area under the curve to the left of 0 is shaded, representing the probability that the woman is taller. The area to the right represents the probability that the man is taller.

normalcdf:

lower bound: −9999

upper bound: 0

μ=10

σ=9

7 0

4 years ago

Read 2 more answers

The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x = 0 and x = 3. (10 points) G

navik [9.2K]

f(x)=2x+1

We have to integrate the expression in order to find average rate of change.

$\boxed{\sf {\displaystyle{\int}}x^ndx=\dfrac{x^{n+1}}{n+1}}$

Now

$\\ \sf\longmapsto {\displaystyle{\int}^3_0}f(x)dx$

$\\ \sf\longmapsto {\displaystyle{\int}^3_0}(2x+1)dx$

$\\ \sf\longmapsto \left[\dfrac{2x^2}{2}+x\right]^3_0$

$\\ \sf\longmapsto [x^2+x]^3_0$

$\\ \sf\longmapsto 3^2+3-(0^2+0)$

$\\ \sf\longmapsto 9+3$

$\\ \sf\longmapsto 12$

3 0

3 years ago

Consider the following binomial experiment. The probability that a green jelly bean is chosen at random from a large package of

Flura [38]

Answer:

There is a 5.79% probability that at most 2 jelly beans are chosen.

Step-by-step explanation:

For each jelly bean chosen, there are only two possible outcomes. Either it is green, or it is not. This is why we use the binomial probability distribution to solve this problem.

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 combinatios 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.

In this problem we have that:

There are 13 jelly beans, so $n = 13$ .

The probability that a green jelly bean is chosen at random from a large package of jelly beans is 2/5. This means that $p = 0.4$ .

If Sally chooses 13 jelly beans, what is the probability that at most two will be green jelly beans?

This is

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$ .

In which

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

$P(X = 0) = C_{13,0}.(0.4)^{0}.(0.6)^{13} = 0.0013$

$P(X = 1) = C_{13,1}.(0.4)^{1}.(0.6)^{12} = 0.0113$

$P(X = 1) = C_{13,2}.(0.4)^{2}.(0.6)^{111} = 0.0453$

So

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0013 + 0.0113 + 0.0453 = 0.0579$ .

There is a 5.79% probability that at most 2 jelly beans are chosen.

8 0

3 years ago

Gina saves quarters. She has $17.75 in quarters. How many quarters does she have? Show your solution in two ways. Use division t

Bad White [126]

Gina wants to know how many quarters she has if she has seventeen dollars and seventy-five (17.75)cents in all quarters. To find he number of quarters, you need to divid seventeen dollars and seventy-five cents (17.75) by twenty five cents (0.25) to get her answer.

17.75/0.25=71

6 0

4 years ago