The volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism. Find the volume of each

Answer:

a.

b.

c.

d.

Step-by-step explanation:

There are four desktop computers and two laptops.

On a specific day, we will set up 2 of these computers.

To find:

a. What is the probability that both selected computers are laptops?

b. What is the probability that both computers are desktops?

c. What is the probability that at least one computer is a desktop?

d. What is the probability that at least one of each type of computer is included?

Solution:

Using the probability formula for event E:

a. The number of successful outcomes for both computers being laptops = = 1

Total possible outcomes = 15

The needed probability is .

b. The successful outcomes for both being desktop computers =

Total possible outcomes = 15

The required probability is .

c. For at least one desktop:

Two scenarios exist:

1. 1 desktop and 1 laptop:

Successful outcomes =

2. Both are desktops:

Successful outcomes =

Total successful outcomes = 8 + 6 = 14

The needed probability is .

d. 1 desktop and 1 laptop:

Successful outcomes =

Total outcomes = 15

The required probability is .

A proportion maintains a consistent ratio m/d

If m = 0.75d, then the m/d ratio translates to (0.75d)/d = 0.75

In this case, the ratio can be expressed as (.75d-2)/d = 0.75 - (2/d).

Thus, it is not proportional.

The maximum value of P is determined to be 33.

Step-by-step explanation: Start by graphing the constraints represented by the lines

5x + y = 16, which has intercepts at (16, 0) and (0, 16), and

2x + 3y = 22, with intercepts at (11, 0) and (0, ). The solutions to both sets of constraints lie beneath the lines. Solve the equations 5x + y = 16 and 2x + 3y = 22 simultaneously to find their intersection point at (2, 6).

The vertices of the feasible region are determined to be (0, 0), (0, 16), (2, 6), and (11, 0). Evaluate the objective function at each vertex.

At (0, 0), P = 0. At (0, 16), P = 32. At (2, 6), P = 18. Finally, at (11, 0), P = 33. Thus, the maximum P value occurs when x = 11 and y = 0.

The correct answer is 0.8y

Response:

In every coordinate plane, the baseline function f(x) = |x| is illustrated by a dashed line while a translation is denoted by a solid line. Which graph depicts the translation g(x) = |x + 2| as a solid line?

In a coordinate plane, the dashed line of the absolute value graph shows a vertex at (0, 0). Meanwhile, a solid line absolute value graph has a vertex at (2, 0).

In a coordinate plane, the dashed line of the absolute value graph has its vertex positioned at (0, 0) while the solid line graph shows a vertex at (0, negative 2).

In a coordinate plane, the dashed line for absolute value has a vertex at (0, 0) while a solid line has a vertex at (negative 2, 0).

In a coordinate plane, the dashed absolute value graph has its vertex at (0, 0) while the solid line version shows a vertex at (0, 2).

Detailed clarification:

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