Does anyone know the right answer

Ford and GM pick up trucks are being tested for fuel efficiency, which is commonly measured in miles per gallon (mpg). The fuel

lina2011 [118]

Answer:

0.7881 = 78.81% probability that a randomly chosen Ford truck outperforms a randomly chosen GM truck in terms of fuel efficiency

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, and the standard deviation is the square root of the sum of the variances.

The fuel efficiency of Ford trucks is found to follow a normal distribution with mean 20 mpg and a standard deviation of 3 mpg.

This means that $\mu_{F} = 20, \sigma_{F} = 3$

The fuel efficiency of GM trucks is found to follow a normal distribution with mean 24 mpg and standard deviation of 4 mpg.

This means that $\mu_{G} = 24, \sigma_{G} = 4$

Compute the probability that a randomly chosen Ford truck outperforms a randomly chosen GM truck in terms of fuel efficiency

This is the probability that the subtraction of ford by gm is less than 0. First, we find the mean and the standard deviation.

$\mu = \mu_{F} - \mu_{G} = 20 - 24 = -4$

$\sigma = \sqrt{\sigma_{F}^2+\sigma_{G}^2} = \sqrt{3^2+4^2} = 5$

This probability is the pvalue of Z when X = 0. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{0 - (-4)}{5}$

$Z = 0.8$

$Z = 0.8$ has a pvalue of 0.7881

0.7881 = 78.81% probability that a randomly chosen Ford truck outperforms a randomly chosen GM truck in terms of fuel efficiency

7 0

3 years ago

Find the amount of time needed for the sinking fund to reach the given accumulated amount. (Round your answer to two decimal pla

tatiyna

Answer:

8.82 years.

Step-by-step explanation:

Since, the monthly payment formula is,

$P=\frac{PV(r)}{1-(1+r)^{-n}}$

Where, PV is the present value of the loan,

r is the rate per month,

n is number of months,

Here,

PV = $ 25,000,

Annual rate = 5.2 % = 0.052 ⇒ Monthly rate, r = $\frac{0.052}{12}$

( 1 year = 12 months )

P = $ 295,

By substituting the values,

$295=\frac{25000(\frac{0.052}{12})}{1-(1+\frac{0.052}{12})^{-n}}$

By the graphing calculator,

We get,

$n = 105.84$

Hence, the time ( in years ) = $\frac{105.84}{12}=8.82$

8 0

3 years ago

Choose the correct definition of a random variable from the list below. A random variable is O one whose values describe the out

kodGreya [7K]

Answer:

“A random variable is one whose values describe the outcome of some chance process”

Step-by-step explanation:

Roughly speaking, a random variable is a function whose values depend on outcomes of a random phenomenon.

The phenomenon could be an experiment created by human beings, a natural process or any other kind of event that produces results that cannot be foreseen with a deterministic model like a differential equation or formula of any kind.

<em> The random variable must also be a measurable function. </em>

Since its value cannot be predicted in a deterministic way, we usually approximate its possible values with probabilistic measures.

So, from the possible choices of answer, the one that fits the best is

“A random variable is one whose values describe the outcome of some chance process”

5 0

3 years ago

You can model an arch at your school using the equation y=−0.9(x+3)(x−3), where x and y are measured in feet. The x-axis represe

Slav-nsk [51]

Answer:

6 ft

Step-by-step explanation:

As we know that, the arch meet the ground are the value of x when y = 0

y=−0.9(x+3)(x−3)

<=> 0 = −0.9(x+3)(x−3)

<=> x=3 or x=-3

So we have 2 coordinates: (3, 0) and (-3,0) and the distance between them is:

3 -(-3) = 6

=> The width of the arch at ground level is 6 ft

7 0

3 years ago

I have the answer, I just need to explain how I got it. Please help!

Gnoma [55]

Answer:

<h2>Table 2 is correct, you have it wrong</h2>

Step-by-step explanation:

The way we determine if ratios are equivalent is by a proportion. It also helps to know that a foot is 12 inches, so you have the wrong answer. The correct answer is table 2. The way we solve is by dividing the number of inches by 12 to see if we get the number of feet specified on the table.

24/12 = 2

60/12 = 5

72/12 = 6

84/12 = 7

All of these match up to their respective foot measurements.

6 0

3 years ago