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2 years ago

15

Referring to the figure, find the volume of the solid shown. Round to the nearest whole number.

1 answer:

mr_godi [17]2 years ago

3 0

Answer:

846 m³

Step-by-step explanation:

The solid consists of a rectangular prism and a rectangular pyramid.

V = LWH + (1/3)LWh

V = 9 m * 6 m * 12 m + 1/3 * 9 m * 6 m * 11 m

V = 648 m³ + 198 m³

V = 846 m³

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What is 300% of 90? Show your work

BARSIC [14]

Answer:

270

Step-by-step explanation:

becasue 100 percent of 90 would be 90

$100*3=300$

so multiply

$90*3=270$

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3 years ago

Thirty-three college freshmen were randomly selected for an on-campus survey at their university. The participants' mean GPA was

Ivan

Answer: $\pm0.1706$

Step-by-step explanation:

Given : Sample size : n= 33

Critical value for significance level of $\alpha:0.05$ : $z_{\alpha/2}= 1.96$

Sample mean : $\overline{x}=2.5$

Standard deviation : $\sigma= 0.5$

We assume that this is a normal distribution.

Margin of error : $E=\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

i.e. $E=\pm (1.96)\dfrac{0.5}{\sqrt{33}}=\pm0.170596102837\approx\pm0.1706$

Hence, the margin of error is $\pm0.1706$

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3 years ago

What is the quotient of 5/18 ÷ 2/6 ?

Lunna [17]

I know the answer. It would be 5/6.

8 0

3 years ago

Simultaneous equations 5x+y=28 x+y=2

ludmilkaskok [199]

Answer:

<h2> $( \frac{13}{2} \:, - \frac{9}{2} )$ </h2>

Step-by-step explanation:

$5x + y = 28$

$x + y = 8$

Solve the equation for y by moving 'x' to R.H.S and changing its sign

$5x + y = 28$

$y = 2 - x$

Substitute the given value of y into the equation 5x + y = 28

$5x + 2 - x = 28$

Solve the equation for x

Collect like terms

$4x + 2 = 28$

Move constant to R.H.S and change its sign

$4x = 28 - 2$

Subtract the numbers

$4x = 26$

Divide both sides of the equation by 4

$\frac{4x}{4} = \frac{26}{4}$

Calculate

$x = \frac{26}{4}$

Reduce the numbers with 2

$x = \frac{13}{2}$

Now, substitute the given value of x into the equation y = 2 - x

$y = 2 - \frac{13}{2}$

Solve the equation for y

$y = - \frac{9}{2}$

The possible solution of the system is the ordered pair ( x , y )

<h2> $(x \: y) = ( \frac{13}{2} , \: - \frac{9}{2} )$ </h2>

-------------------------------------------------------------

Let's check if the given ordered pair is the solution of the system of equation:

plug the value of x and y in both equation

$5 \times \frac{13}{2} - \frac{9}{2} = 28$

$\frac{13}{2} - \frac{9}{2} = 2$

Simplify the equalities

$28 = 28$

$2 = 2$

Since , all of the equalities are true, the ordered pair is the solution of the system.

$(x \:, y \: ) = ( \frac{13}{2} \: , - \frac{9}{2})$

Hope this helps....

Best regards!!

5 0

3 years ago

Read 2 more answers

I need the answer to this problem 3.476÷6

mestny [16]

Its 0.5793 with the bar over the 3

3 0

3 years ago