Is it possible to have a solution that has 1 real and 1complex root?

Bones Brothers & Associates prepare individual tax returns. Over prior years, Bones Brothers have maintained careful records

madreJ [45]

Answer:

For this case we have the following info related to the time to prepare a return

$\mu =90 , \sigma =14$

And we select a sample size =49>30 and we are interested in determine the standard deviation for the sample mean. From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard deviation would be:

$\sigma_{\bar X} =\frac{14}{\sqrt{49}}= 2$

And the best answer would be

b. 2 minutes

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

For this case we have the following info related to the time to prepare a return

$\mu =90 , \sigma =14$

And we select a sample size =49>30 and we are interested in determine the standard deviation for the sample mean. From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard deviation would be:

$\sigma_{\bar X} =\frac{14}{\sqrt{49}}= 2$

And the best answer would be

b. 2 minutes

3 0

3 years ago

Karl drove 617.3 miles. For each gallon of gas, the car can travel 41 miles. Select a reasonable estimate of the number of gallo

Hatshy [7]

Answer:

The number of gallons of gas Karl used is 15 gallons.

Option (C) is correct.

Step-by-step explanation:

As given

Karl drove 617.3 miles.

For each gallon of gas, the car can travel 41 miles.

i.e

1 gallons = 41 miles

$1\ miles = \frac{1}{41}\ gallons$

Now find out for the 617.3 miles.

Thus

$617.3\ miles = \frac{617.3}{41}\ gallons$

$617.3\ miles = 15.1\ gallons$

$617.3\ miles = 15\ gallons\ (Approx)$

Therefore the number of gallons of gas Karl used is 15 gallons.

Option (C) is correct.

4 0

4 years ago

Tell whether the ordered pair is a solution of the system of equations.

katovenus [111]

Answer:

2x + y = 5

y = 4x – 1

Substitute (2, 1) into system, then:

2x + y = 5 => 2 x 2 + 1 = 5 => 5 = 5 (satisfied)

y = 4x– 1 => 4 x 2 - 1 = 1 => -7 = 1 (not satisfied)

=> Option 3 is correct.

Hope this helps!

:)

8 0

3 years ago

Which dilation is shown by this graph?

beks73 [17]

Answer:

1/3

Step-by-step explanation:

Take the far side original length and dilated length 3/9 divide it = 1/3 and that’s the answer

5 0

3 years ago

In the data set #2 {75,80,85,75,85}, what is the mean?

Fantom [35]

Answer:

80

Step-by-step explanation:

7 0

3 years ago