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3 years ago

Can you please help me with this and thank you

Mathematics

1 answer:

Alexandra [31]3 years ago

7 0

Answer:

Step-by-step explanation:

The volume of a rectangular prism is found using V = l*w*h. Using the formula, substitute V - 288, l = 6 and h = 8. Then solve for the width w.

V = l*w*h

288 = 6*w*8

288 = 48w

288/48 = w

6 = w

The width is 6 feet.

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This is a 3 question thing! HELP!

romanna [79]

Answer:

Step-by-step explanation:

MR=2x-1. First equation

RP=9x+3 second equation

MP=MR+RP third equation

MP= 2x-1+9x+3 first equation plus second equation

MP=11x+2

MP=57

57=11x+2 replaced MP value

57-2=11x

55=11x

55/11=x

X=5

6 0

4 years ago

What is equivalent to -1/4y -2 1/4y + 1/2 (4-2y) a) -3y + 2 b) -3 1/2y + 2 c) -4y + 4

Amanda [17]

Answer:

B. -3 1/2y + 2

Step-by-step explanation:

Our expression is: $\frac{-1}{4} y-2\frac{1}{4} y+\frac{1}{2} (4-2y)$ .

Let's first distribute out that parentheses. Remember that distribution is simply taking the sum of the product of the outside term with each of the inside terms. Here, the outside term is 1/2 and the inside terms are 4 and -2y:

$\frac{1}{2} (4-2y)=\frac{1}{2} *4+\frac{1}{2} *(-2y)=2-y$

Now, we have:

$\frac{-1}{4} y-2\frac{1}{4} y+2-y$

We want to combine like terms, which means combining all the terms with y in them:

$\frac{-1}{4} y-2\frac{1}{4} y-y+2=\frac{-1}{4} y-\frac{9}{4} y-\frac{4}{4} y+2=\frac{-1-9-4}{4} y+2=\frac{-14}{4} y+2=\frac{-7}{2} y+2$

Remember that -7/2 can be written as the mixed number -3 1/2, so our final answer is:

-3 1/2y + 2

The answer is thus B.

<em>~ an aesthetics lover</em>

7 0

3 years ago

You do a study of hypnotherapy to determine how effective it is in increasing the number of hours of sleep subjects get each nig

brilliants [131]

Answer:

Confidence interval

$8.98-2.2\frac{1.29}{\sqrt{12}}=8.16$

$8.98+2.2\frac{1.29}{\sqrt{12}}=9.80$

And the margin of error would be:

$ME=2.2\frac{1.29}{\sqrt{12}}=0.819$

Step-by-step explanation:

For this case we have the followig dataset:

DATA: 8.2; 9.1; 7.7; 8.6; 6.9; 11.2; 10.1; 9.9; 8.9; 9.2; 7.5; 10.5

We can calculate the mean and the deviation with the following formulas:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And replacing we got:

$\bar X= 8.98[/tex[tex]s = 1.29$

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom are given by:

$df=n-1=12-1=11$

The Confidence level is 0.95 or 95%, the value of significance is $\alpha=0.05$ and $\alpha/2 =0.025$ , and the critical value would be $t_{\alpha/2}=2.20$