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Ede4ka [16]
2 years ago
14

Find the volume of the prism.

Mathematics
1 answer:
Rudik [331]2 years ago
6 0

Answer:

216 cubic meters

Step-by-step explanation:

to find the volume of any prism the equation is bh or base times height

the base is a triangle so you find the triangles area and multiply it by the height

8 * 6 * 1/2 = 24

24 * 9 = 216

216 cubic meters

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The U.S. Census Bureau announced that the median sales price in 2014 for new homes was $282,800 and the mean sales price was $34
victus00 [196]

Answer:

a) 0.9964

b) 0.3040

Step-by-step explanation:

Given data:

standard deviation =  $90,000

Mean sales price =$345,800

sample mean =  $370,000

Total number of sample = 100

calculate z score for [/tex](\bar x = 370000)[/tex]

z = \frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{370000 - 345800}{\frac{90000}{\sqrt{100}}}

z = 2.689

P(x<370000) = P(Z<2.689)

FROM STANDARD NORMAL DISTRIBUTION TABLE FOR Z P(Z<2.689) = 0.9964

B)

calculate z score for (\bar x = 350000)

z = \frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{350000 - 345800}{\frac{90000}{\sqrt{100}}}

z = 2.133

P(350000 \leq \bar x \leq 365000) = P(0.467 \leq Z\leq 2.133) = P(Z\leq 2.133) - P(Z\leq 0.467)

FROM NORMAL DISTRIBUTION TABLE Z VALUE FOR

P(Z\leq 2.133) = 0.9836

P(Z\leq 0.467) = 0.6796

SO,  = 0.9836 - 0.6796 = 0.3040

4 0
3 years ago
In a particular month, Ezhil spent one-fifth of her salary on shopping. Two-fifth of the remaining she gave to her sister. If sh
Oxana [17]

Answer:

Salary = Rs23000

Step-by-step explanation:

Given

Shopping = \frac{1}{5}

Sister = \frac{2}{5}R

Left over = Rs11,040

Required

Her salary in that month

Given that she spent \frac{1}{5} of her salary on shopping, this implies that she has \frac{4}{5} of her salary left

From what's left, she gave her sister \frac{2}{5}

This means she gave her sister \frac{2}{5} * \frac{4}{5}

Sister = \frac{8}{25}

Calculating a fraction of what's left

Left over = 1 -Shopping - Sister

Left over = 1  - \frac{1}{5}- \frac{8}{25}

Left over = \frac{25 - 5 - 8}{25}

Left over = \frac{12}{25}

Recall that she has Rs11,040

This means that

\frac{12}{25} of Salary = Rs11,040

Multiply both sides by \frac{25}{12}

\frac{12}{25} * \frac{25}{12} * Salary = Rs11,040 * \frac{25}{12}

Salary = Rs11,040 * \frac{25}{12}

Salary = \frac{Rs276000}{12}

Salary = Rs23000

Hence, her salary for that month was Rs23000

5 0
2 years ago
Read 2 more answers
A booklet is made from 6 rectangular pieces of paper. Each piece measures 297mm by 420mm. The mass of paper is 80g per m^2. What
liq [111]
Alright, so the area of one paper is 297mm*420mm=124740mm^2. Multiplying that by 6 due to 6 sheets, we get 748440mm^2. Converting mm^2 to m^2, since we know that 1000mm=1m, we simply do (1m/1000m)^2=1m^2/1,000,000mm^2. Our equation is now
748440mm^2*1m^2/1,000,000mm^2=0.748440m^2 by crossing out the millimeters. Lastly, since it's 80g/1m^2, we multiply our number by that to get 59.8752g
3 0
3 years ago
The coefficient of 8.2 N is<br> 8<br> 2<br> 16
Aliun [14]

Answer:

2

Step-by-step explanation:

A coefficient is the number placed before the variable. The variable gets multiplied by the coefficient.

The format is not exactly clear with the expression in the question.

Assuming the expression is '8 * 2n', the coefficient would be 2.

'n' is getting multiplied by '2'.

'8' does not have a variable next to it, so it is just a term in the expression.

The product of 8 and 2 is 16. 16 is not in the expression.

If the expression was '8.2n', 8.2 would be the coefficient.

<em>Brainilest Appreciated. </em>

4 0
3 years ago
Read 2 more answers
What number should go in the space?<br> Multiplying by 0.76 is the same as decreasing by ____%.
Allisa [31]

Answer:

76%

Step-by-step explanation:

Do turn decimals into percentages you just gotta multiply by 100.

0.76×100=76

8 0
2 years ago
Read 2 more answers
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