What is the first step in solving the equation: 3(x+2) = 12?

A solid lies between planes perpendicular to the x-axis at x=0 and x=3. The cross-sections perpendicular to the axis on the inte

Hatshy [7]

Answer:

V = 9

Step-by-step explanation:

You can see it in the picture.

6 0

3 years ago

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

Kimberly has the choice of washing the car mowing the lawn or raking leaves on Saturday and baking a cake washing dishes or doin

zhuklara [117]

The answer is 9. there are 9 different combinations to choose from.

8 0

3 years ago

Is the discriminant of f positive , zero , or negative

Kruka [31]

Answer:

Negative because there's no x-intercepts!

Hope this helps!

8 0

3 years ago

Given:

olga55 [171]

Answer:

Step-by-step explanation:

y = 1/3x + 6

y = 1/4x + 3

this is just a matter of substitution...subbing in one y for the other

y = 1/3x + 6.....so sub in 1/3x + 6 in for y, back into the second equation or u can work it the other way and sub in 1/4x + 3 in for y, back into the first equation....either way will work

1/3x + 6 = 1/4x + 3

1/3x - 1/4x = 3 - 6

4/12x - 3/12x = -3

1/12x = -3

x = -3 * 12

x = - 36

now sub that back into either of ur original equations to find y

y = 1/3x + 6

y = 1/3(-36) + 6

y = - 12 + 6

y = - 6

solution is : x = -36 and y = -6 or (-36,-6)

8 0

4 years ago