If one apartment requires 36 square yards of carpeting, how many square yards of carpeting do 25 identical apartments require?

weeeeeb [17]

Answer:

(8,16) (0,22) (10,10)

Step-by-step explanation:

Let x represents the number of hours spent volunteering in school and y represents the number of hours spent volunteering outside of school.

Since each member must spend a minimum of 20 hours doing volunteer work each semester.

The equation forms : $x+y\geq 20$ ....(1)

Also given is that the number of hours spent volunteering at school activities can be no more than twice the number of hours spent volunteering outside of school, then equation becomes:

$x\leq 2y$ .....(2)

So, lets check with each given pair, if they fulfill both equations:

(7,11): $7+11=18$ is not ≥ 20 - This is false.

(15,6): $15 \leq 6(2)$ = 12 - This is false.

(8,16): $8+16=24$ which is ≥20 and $8 \leq 2(16)=32$ - This is true.

(12,5): 12 is not ≤ $2(5)=10$ - This is false.

(0,22): $0+22\geq 20$ and $0\leq 2(22)=44$ - This is true.

(10,10): $10+10\geq 20$ and $10\leq 2(10)=20$ - This is true.

6 0

4 years ago

The sum of the angles of two supplementary angles is 180. one angle measures 15 more than twice the measure of the other. find t

Nataly_w [17]

Angle a + angle b = 180
a = 2b + 15
3b + 15 = 180
3b = 180 - 15 = 165
b = 165 divided by 3 = 55
the ratio of the two angle is 2:1 as a is twice as much as b
a is 55 x 2 + 15 = 125
b is 55
125 + 55 = 180

5 0

3 years ago

I dont wanna do this guys help me pweez

gregori [183]

Answer:

D

Step-by-step explanation:

The answer is 8.

16 divided by 2

3 0

3 years ago

Read 2 more answers

What is the answer???

cluponka [151]

Answer:

1

Step-by-step explanation:

sorry if im wrong.

6 0

3 years ago

Suppose that a researcher is designing a survey to estimate the proportion of adults in your state who oppose a proposed law tha

irinina [24]

Answer:

$n=\frac{0.5 (1-0.5)}{(\frac{0.02}{1.96})^2}= 2401$

So without prior estimation for the population proportion, using a confidence level of 95% if we want a margin of error about 2% we need al least a sample size of 2401.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

Solution to the problem

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

If solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

The margin of error desired for this case is $ME= \pm 0.02$ equivalent to 2% points

For this case we need to assume a confidence level, let's assume 95%. And since we don't have prior estimation for the population proportion of interest the best value to do an approximation is $\hat p =0.5$

In order to find the critical value we need to take in count that we are finding the margin of error for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.96$

Now we have all the values needed and if we replace into equation (b) we got:

$n=\frac{0.5 (1-0.5)}{(\frac{0.02}{1.96})^2}= 2401$

So without prior estimation for the population proportion, using a confidence level of 95% if we want a margin of error about 2% we need al least a sample size of 2401.

5 0

4 years ago