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2 years ago

A DVD has a diameter of 22 centimeters. What is the area of the DVD? Round your answer to the nearest

Mathematics

2 answers:

guajiro [1.7K]2 years ago

6 0

Answer:

it is 113.04cm ur welcome

Step-by-step explanation:

olga2289 [7]2 years ago

5 0

Answer:

379.94

Step-by-step explanation:

3.14*11^2=379.94

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A Triangle has an area of 36cm^2. The base and height are scaled by a factor of 5. What is the area of the resulting triangle?

Finger [1]

Answer:

Area of resulting triangle will be 900 $cm^2$ .

Step-by-step explanation:

When sides of any polygon if scaled by a factor of k

then area is scaled by $k^2$

According to the above statement

therefore here in the question since area of original triangle was 36 $cm^2$

and both base and height are scaled by a factor of 5.

therefore area of scaled triangle will be $5^2$ times of the original

that is 25 x 36 which gives 900 $cm^2$

So area of resulting triangle will be 900 $cm^2$

7 0

2 years ago

Find the slope from the pair of points. (0, -5) (-3,5)

bagirrra123 [75]

Answer:

Step-by-step explanation:

your welcome

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3 years ago

The perimeter of a rectangle is 150cm. The length is 15cm greater than the width. Find the dimensions

ANEK [815]

150/4 = 37.5cm. You divide by four because there are four sides on a rectangle. But 37.5 is the cm of a square. Since it says one of the sides is 15cm greater, you subtract 37.5 - 15 = 27.5cm on 2 of the width. While the other 2 lengths are greater than the width by 15 cm, so you add 15 to 37.5 which gives you 52.5cm. So the 2 width are 27.5cm and the length is 52.5cm.

7 0

2 years ago

In 2008 the Better Business Bureau settled 75% of complaints they received (USA Today, March 2, 2009). Suppose you have been hir

Ede4ka [16]

Answer:

Explained below.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}= p$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

(a)

The sample selected is of size n = 450 > 30.

Then according to the central limit theorem the sampling distribution of sample proportion is normally distributed.

The mean and standard deviation are:

$\mu_{\hat p}=p=0.75\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.75(1-0.75)}{450}}=0.0204$

So, the sampling distribution of sample proportion is $\hat p\sim N(0.75,0.0204^{2})$ .

(b)

Compute the probability that the sample proportion will be within 0.04 of the population proportion as follows:

$P(p-0.04$

$=P(-1.96$

Thus, the probability that the sample proportion will be within 0.04 of the population proportion is 0.95.

(c)

The sample selected is of size n = 200 > 30.

Then according to the central limit theorem the sampling distribution of sample proportion is normally distributed.

The mean and standard deviation are:

$\mu_{\hat p}=p=0.75\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.75(1-0.75)}{200}}=0.0306$

So, the sampling distribution of sample proportion is $\hat p\sim N(0.75,0.0306^{2})$ .

(d)

Compute the probability that the sample proportion will be within 0.04 of the population proportion as follows:

$P(p-0.04$

$=P(-1.31$

Thus, the probability that the sample proportion will be within 0.04 of the population proportion is 0.81.

(e)

The probability that the sample proportion will be within 0.04 of the population proportion if the sample size is 450 is 0.95.

And the probability that the sample proportion will be within 0.04 of the population proportion if the sample size is 200 is 0.81.

So, there is a gain in precision on increasing the sample size.

6 0

2 years ago

Someone please help me with this! Is this a independent or dependent? Explain why.

irga5000 [103]

Answer:

independent

Step-by-step explanation:

Dependent equations graph as the same line. These lines are not the same, so the equations are independent.

___

However, the lines are parallel, so the equations are also inconsistent. There is no solution to this system of equations.

6 0

2 years ago