The volume of a rectangular prism is (x4 + 4x3 + 3x2 + 8x + 4), and the area of its base is (x3 + 3x2 + 8). If the volume of a r

Step-by-step explanation:

Tracie's bus moves towards home at an average pace of one-half mile for every minute.

The given road capacity is 3,500 vehicles per hour, and the expected number of vehicles arriving is 14,000. To calculate the time required for these vehicles to access the arena:
14,000 vehicles divided by 3,500 vehicles per hour equals 4 hours.

If the event is scheduled to commence at 7 p.m., the roads should close at: 7 p.m. minus 4 hours, which results in 3 p.m.

Answer:

P=x/2.2

Step-by-step explanation:

We can set up an equation to solve this.

Let P represent the number of pounds

Let X represent the number of kilograms

Knowing that 1 kilogram equals 2.2 pounds.

So, if there is 1 kilogram (X) it translates to 2.2 pounds (P).

X=2.2P

Simply rearrange the equation to determine the pounds in x kilograms. Thus, divide both sides by 2.2.

Therefore, we derive P=x/2.2

Answer:

Step-by-step explanation:

The probability distribution for the random variable X is provided.

X 4 5 6 7 Total

P 0.2 0.4 0.3 0.1 1

x*p 0.8 2 1.8 0.7 5.3

x^2*p 3.2 10 10.8 4.9 28.9

a) The expected value E(X), representing the mean of X, equates to 5.3.

Standard deviation is the square root of the variance, which amounts to 0.9.

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b) For the mean of the sample, we find:

Mean = 5.3

Variance = var(x)/n =

c)

631.72 = 33% of Realized Income 
<span> To find Realized Income, calculate: 631.72 /.33 = Realized Income </span>
<span> Therefore, Realized Income equals 1914.30</span>