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2 years ago

What is the volume of the following rectangular prism?

Mathematics

2 answers:

MatroZZZ [7]2 years ago

8 0

Answer:

it is 270 , trust me

Step-by-step explanation:

Anton [14]2 years ago

4 0

Answer:

Step-by-step explanation:

You might be interested in

How can you use exponents to write 10,000,000?

aleksklad [387]

Let's break it down into something more simple:

What's 10 times 10? 100

What's 10 times 10 times 10? 1000

Do you see a pattern? (Cool trick - The number of 10s match the number of 0s in the answer)

We have seven 0s in our answer, so let's check:

10 x 10 x 10 x 10 x 10 x 10 x 10 = 10,000,000

An exponent tells us that we're multiplying the big number by itself however many times the little number in the corner tells us.

So if we multiply 10 by itself 7 times (what we did above), then our answer will be 10 to the power of 7, or $10^{7}$ . This is equal to 10,000,000.

6 0

2 years ago

In a local town, 4/5 of the voting-age population is registered to vote. If 7/8 of the registered voters voted in the election

STALIN [3.7K]

Answer:

$\frac{7}{10}$ of voting age population voted

Step-by-step explanation:

In order to find out that fraction we just have to mulitply the fraction of the people that were registered by the fractions of the people that were registered and voted. And so we get...

$(\frac{4}{5})(\frac{7}{8}) = \frac{(4)(7)}{(5)(8)} = \frac{28}{40} = \frac{7}{10}$

7 0

2 years ago

[Geometry Basics] I'm just checking if this is correct:

Leno4ka [110]

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ x &,& y~) 
% (c,d)
&&(~ -9 &,& -1~)
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{ x_2 + x_1}{2}\quad ,\quad \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left( \cfrac{-9+x}{2}~~,~~\cfrac{-1+y}{2} \right)=\stackrel{midpoint}{(8,14)}\implies 
\begin{cases}
\cfrac{-9+x}{2}=8\\\\
-9+x=16\\
\boxed{x=25}\\
-------\\
\cfrac{-1+y}{2} =14\\\\
-1+y=28\\
\boxed{y=29}
\end{cases}$

$\bf -------------------------------\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ x &,& y~) 
% (c,d)
&&(~10 &,& 12~)
\end{array}\qquad
\\\\\\
\left( \cfrac{10+x}{2}~~,~~\cfrac{12+y}{2} \right)=\stackrel{midpoint}{(6,9)}\implies 
\begin{cases}
\cfrac{10+x}{2}=6\\\\
10+x=12\\
\boxed{x=2}\\
-------\\
\cfrac{12+y}{2} =9\\\\
12+y=18\\
\boxed{y=6}
\end{cases}$

3 0

3 years ago

A pair of equations is shown below:

Lana71 [14]

Part A: To solve graphically we have to graph first by plotting the y-int which is -9 & -1. Than use the slops 7/1 & 3/1
part B: (2,5)

4 0

3 years ago

The accompanying summary data on total cholesterol level (mmol/l) was obtained from a sample of Asian postmenopausal women who w

dimulka [17.4K]

Answer:

99% CI:

$-4.637\leq\mu_v-\mu_o\leq 3.737$

Step-by-step explanation:

We have to calculate a 99%CI for the difference of means for the vegan and the omnivore.

First, we have to estimate the standard deviation

$s_{Md}=\sqrt{\frac{2MSE}{n_h}}$

The MSE can be calculated as

$MSE=\frac{(SSE_1+SSE_2)}{df} =\frac{(n_1s_1)^2+(n_2*s_2)^2}{n_1+n_2-2}\\\\MSE=\frac{(85*1.05)^2+(96*1.20)^2}{85+96-2}=\frac{7965.56+13272.04}{179} =118.65$

The weighted sample size nh can be calculated as

$n_h=\frac{2}{1/n_1+1/n_2}=\frac{2}{1/85+1/96}=\frac{2}{0.0222} =90.16$

The standard deviation then becomes

$s_{Md}=\sqrt{\frac{2MSE}{n_h}}=\sqrt{\frac{2*118.65}{90.16}}=\sqrt{2.632} =1.623$

The z-value for a 99% confidence interval is z=2.58.

The difference between means is

$\Delta M=M_v-M_o=5.10-5.55=-0.45$

Then the confidence interval can be constructed as

$\Delta M-z*s_{Md}\leq\mu_v-\mu_o\leq \Delta M+z*s_{Md}\\\\ -0.45-2.58*1.623\leq\mu_v-\mu_o\leq -0.450+2.58*1.623\\\\-0.450-4.187\leq\mu_v-\mu_o\leq-0.450+4.187\\\\-4.637\leq\mu_v-\mu_o\leq 3.737$

8 0

2 years ago