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3 years ago

square room in Amber's home has an area of 128 square feet. Which is the best estimate of one side of the room? *

Mathematics

2 answers:

harina [27]3 years ago

8 0

We are given that the shape of the room is a square .

So formula for area of a square is given by:

Area = side * side = side²

Now in the question we are given that the area of the square room is 128 square feet and we have to estimate the side of this square.

So plugging the value of area in the formula given above to find the side,

128 = side²

taking square root on both sides

$\sqrt{128} =side$

side = 11.3137 feet

Answer : The best estimate of one side of the room is 11.3137 feet.

STALIN [3.7K]3 years ago

6 0

30 since you said square room and a square has 4 equal sides. The actual number is 32

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65 +43-11 = Help me plz

liubo4ka [24]

Answer:

Step-by-step explanation: 65+43=108

108-11=97

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3 years ago

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Is the environment a major issue with Americans? To answer that question, a researcher conducts a survey of 1255 randomly select

Furkat [3]

Answer:

The point estimate of this proportion is $\pi = 0.5857$

The 95% confidence interval to estimate the proportion of Americans who feel that the environment is a major issue with them is (0.5584, 0.6130).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 1255, \pi = \frac{735}{1255} = 0.5857$

The point estimate of this proportion is $\pi = 0.5857$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5857 - 1.96\sqrt{\frac{0.5857*0.4143}{1255}} = 0.5584$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5857 + 1.96\sqrt{\frac{0.5857*0.4143}{1255}} = 0.6130$

The 95% confidence interval to estimate the proportion of Americans who feel that the environment is a major issue with them is (0.5584, 0.6130).

7 0

3 years ago

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Use the divergence theorem to find the outward flux of the vector field F(x,y,z)=2x2i+5y2j+3z2k across the boundary of the recta

aksik [14]

Answer:

The answer is "120".

Step-by-step explanation:

Given values:

$F(x,y,z)=2x^2i+5y^2j+3z^2k \\$

differentiate the above value:

$div F =2 \frac{x^2i}{\partial x}+5 \frac{y^2j}{\partial y}+3 \frac{z^2k }{\partial z} \\$

$= 4x+10y+6z$

$\ flu \ of \ x = \int \int div F dx$

$= \int\limits^1_0 \int\limits^3_0 \int\limits^1_0 {(4x+10y+6z)} \, dx \, dy \, dz \\\\ = \int\limits^1_0 \int\limits^3_0 {(4xz+10yz+6z^2)}^{1}_{0} \, dx \, dy \\\\ = \int\limits^1_0 \int\limits^3_0 {(4x+10y+6)} \, dx \, dy \\\\ = \int\limits^1_0 {(4xy+10y^2+6y)}^3_{0} \, dx \\\\ = \int\limits^1_0 {(12x+90+18)}\, dx \\\\= {(12x^2+90x+18x)}^{1}_{0} \\\\= {(12+90+18)} \\\\=30+90\\\\= 120$

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3 years ago

Consider the numbers 0, 10, 20, 30, and 40. Multiply each by 4 and compare the result to 60 to determine into which of the follo

olya-2409 [2.1K]

Answer:

b) 10 to 20

Step-by-step explanation:

You have to multiply each of the given numbers by 4, and add 8 to that result.

So:

0*4+8 = 8

10*4+8 = 48

20*4+8 = 88

30*4+8 = 128

40*4+8 = 168

And 60 is between the result of 10 and 20, so that's the interval you have to select.

The correct answer is b) 10 to 20

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4 years ago

Find break even point cost $284, operating expenses $43, selling price $299

Over [174]

Break even = fixed cost / (sales - variable cost)

The fixed cost is the point cost and operating cost is the variable cost.

Break even = 284 / (299 - 43)
Break even = 1.1 units

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3 years ago