Need help with 2-5 plsssss

Abby rode the Metro bus 4 miles farther than James rode. The sum of their distances traveled is 28 miles. How far did James ride

ohaa [14]

A. define the variables : a = abby's miles, j = james' miles

b. a = j + 4......j = a - 4

c. a + j = 28
a = j + 4

d. (j + 4) + j = 28
2j + 4 = 28
2j = 28 - 4
2j = 24
j = 24/2
j = 12

a = j + 4
a = 12 + 4
a = 16

e. check..
a + j = 28
16 + 12 = 28
28 = 28 (correct)

solution is : abby's miles (a) = 16
james' miles (j) = 12

8 0

3 years ago

Gina is painting the rectangular tool chest shown in the diagram

Nikitich [7]

Answer:

2,880

Step-by-step explanation:

24X12X10=2,880

<em>Hopes This Helps :)</em>

6 0

3 years ago

true or false If x represents a random variable with mean 114 and standard deviation 40, then the standard deviation of the samp

Goshia [24]

Answer:

$\mu = 114, \sigma = 40$

We also know that we select a sample size of n =100 and on this case since the sample size is higher than 30 we can apply the central limit theorem and the distribution for the sample mean would be given by:

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

And the standard deviation for the sampling distribution would be:

$\sigma_{\bar X}= \frac{40}{\sqrt{100}}= 4$

So then the answer is TRUE

Step-by-step explanation:

Let X the random variable of interest and we know that the true mean and deviation for this case are given by:

$\mu = 114, \sigma = 40$

We also know that we select a sample size of n =100 and on this case since the sample size is higher than 30 we can apply the central limit theorem and the distribution for the sample mean would be given by:

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

And the standard deviation for the sampling distribution would be:

$\sigma_{\bar X}= \frac{40}{\sqrt{100}}= 4$

So then the answer is TRUE

6 0

3 years ago

3x^2 + 12x - 96 help please

TEA [102]

Answer:

fully factored form = 3(x-4)(x+8)

Step-by-step explanation:

first you factor 3 out

3(x^2+4x-32)

then factor it

3(x-4)(x+8)

8 0

1 year ago

Read 2 more answers

What is 3x - y = -4 2x - y = -10<br> Using substitution

kipiarov [429]

3x - y = -4
3x - (-10) = -4 Substitute
3x + 10 = -4 Simplify
3x = -14 Separate numbers and variables
x = -14/3 Divide

2x - y = - 10
2x - (-10) = -10 Substitute
2x + 10 = -10 Simplify
2x = -20 Separate numbers and variables
x = -10 Divide

5 0

3 years ago

Read 2 more answers