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Westkost [7]
1 year ago
12

The first floor of a house consists of a kitchen, playroom, and dining room. The areas of the kitchen, playroom, and dining room

are in the ratio . The combined area of these three rooms is 189 square feet. What is the area of each room?
Mathematics
1 answer:
Natasha2012 [34]1 year ago
6 0

The area of the kitchen, playroom, and the dining room floor are 84ft², 63ft² and 42ft² respectively

The area of each floor will be:

Kitchen = 4/9 × 189ft² = 84ft²

Playroom = 3/9 × 189ft² = 63ft²

Dinning room = 2/9 × 189ft² = 42ft²

Therefore, the area of the kitchen, playroom and the dining room floor are 84ft², 63ft², and 42ft² respectively.

Read related link on:

brainly.com/question/10662777

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The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.
valina [46]

Answer:

A sample of 179 is needed.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.85}{2} = 0.075

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.075 = 0.925, so Z = 1.44.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

A previous study found that for an average family the variance is 1.69 gallon?

This means that \sigma = \sqrt{1.69} = 1.3

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

M = z\frac{\sigma}{\sqrt{n}}

0.14 = 1.44\frac{1.3}{\sqrt{n}}

0.14\sqrt{n} = 1.44*1.3

\sqrt{n} = \frac{1.44*1.3}{0.14}

(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2

n = 178.8

Rounding up

A sample of 179 is needed.

7 0
3 years ago
After you find the solution, how would you check to make sure your answer is correct?
krek1111 [17]

Answer:

Plug in your variables value.

Step-by-step explanation:

For your case, plug in -6 into the y slot

12(5+2y)= -(6-9y) +4y

12(5+2x-6)= -(6-9x-6)+4y see if that works!

5 0
3 years ago
Read 2 more answers
G(x) = 15 – 4x<br> h(x) = x +8<br> Write g(h(x)) as an expression in terms of 2.
Sergeu [11.5K]

For this case we have the following functions:

g (x) = 15-4x\\h (x) = x + 8

We must findg (h (x))when x = 2.

So:

g (h (x)) = 15-4 (x + 8) =

We apply distributive property to the terms within parentheses taking into account that:

- * + = -\\15-4x-32 =

We add similar terms taking into account that different signs are subtracted and the sign of the major is placed:

-17-4x

Thus, we have to:

g (h (x)) = - 17-4x

Then, with x = 2:

g (h (2)) = - 17-4 (2) = - 17-8 = -25

Equal signs are added and the same sign is placed.

Answer:

g (h (2)) = - 25

3 0
3 years ago
Why is this app not working?
Aloiza [94]

Answer:

try restarting it or re downloading

3 0
3 years ago
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What are the measures of Angles a,b, and c? Show your work and explain your answers. Will marks best answer as Brainliest
Soloha48 [4]
Angle a is directly opposite from a 40 degree angle, so a=40. Then we can find b since the sum of the angles of all triangles is 180 and there is a right angle in there along with angle a:
180=90+40+b
b=50

Last, to find c we just notice that it is supplementary with an angle of measure 65, so:
c+65=180
c=115

So our angles are a=40, b=50, c=115.
5 0
4 years ago
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