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vampirchik [111]
2 years ago
11

Find the volume of this figure.

Mathematics
2 answers:
Alexxx [7]2 years ago
5 0

Volume of a rectangular prism is length x width x height.

Volume = 8 x 3 x 3 = 72 cubic feet

svetlana [45]2 years ago
4 0
Answer 72 cubic feet
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Twenty-five less two times a number, x, is fifteen.
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Answer:

x=20

Step-by-step explanation:

2x-25=15

2x=40

x=20

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6x4/12+72/8-9 using pemdas
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In ΔABC, if AB = 10 and BC = 6, AC can NOT be equal to
Goshia [24]

Answer:

16

Step-by-step explanation:

adding any two sides of a triangle is allways greater than the third side

6 0
3 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 <em>n</em> = 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 <em>n</em> = 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
Given the differential Equation y'+2y=2e^x ;solve this equation using the integration factor; solve for y to get the general sol
SCORPION-xisa [38]

y'+2y=2e^x\Longrightarrow y'=2e^x-2y

If f'(x)=g(x) then y=\int{g(x)dx}

So we extract,

y=\int{2e^x-2x}dx

Which becomes,

y=2e^x-x^2+C

Hope this helps.

r3t40

5 0
3 years ago
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