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2 years ago

Find the surface area of a rectangular prism with side lengths of 4 in., 9 in., and 13 in.

Mathematics

1 answer:

eimsori [14]2 years ago

5 0

Answer:

Surface Area = 2×(4×9 + 4×13 + 9×13) = 410 inches2

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Suppose that the population of the scores of all high school seniors who took the SAT Math (SAT-M) test this year follows a Norm

Vlad1618 [11]

Answer:

Confidence = $1-\alpha=1-0.01=0.99$

And then the confidence level would be given by 99%

Step-by-step explanation:

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".

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma)$

The distribution for the sample mean is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\bar x =512$ represent the sample mean

$\sigma=100$ represent the population standard deviation

n= 100 sample size selected.

The confidence interval is given by this formula:

$\bar X \pm z_{\alpha/2} \frac{\sigma}{\sqrt{n}}$ (1)

The marginof error for this case is given by Me=25.76. And we know that the formula for the margin of error is given by:

$Me=z_{\alpha/2} \frac{\sigma}{\sqrt{n}}$

$25.76=z_{\alpha/2} \frac{100}{\sqrt{100}}$

And we can find the critical value $z_{\alpha/2}$ like this:

$z_{\alpha/2}=\frac{25.76(\sqrt{100})}{100}=2.576$

And we know that on the right tail of the z score =2.576 we have $\alpha/2$ of the total area. We can find the area on the right of the z score using this excel code:

"=1-NORM.DIST(2.576,0,1,TRUE)" or using a table of the normal standard distribution, and we got 0.004998= $\alpha/2$ , so then $\alpha=0.00498*2=0.009995 \approx 0.01$ , and then we can find the confidence like this:

Confidence = $1-\alpha=1-0.01=0.99$

And then the confidence level would be given by 99%

8 0

3 years ago

Roxanne has 42 hundreds of a dollar in change which shows the amount of change she has left

klasskru [66]

$0.42 that is what your answer would be

7 0

2 years ago

Choose the correct proportions.

cestrela7 [59]

Answer:

Options A, B and C are CORRECT PROPORTIONS

Step-by-step explanation:

Option A

3:5 = 6:10

The LHS must equal the RHS

3:5 is in it's lowest term.

6/10 will be in it's lowest term by dividing the numerator and denominator by 2.

6/10 = 3/5

Option B

3/6 and 5/10.

Diving 3/6 fractions by 3

= 1/2

Dividing 5/10 fraction by 5

= 1/2

Option C

Dividing 6/3 by 3 = 2

Dividing 10/5 by 5 = 2

Thats how you work through equivalent proportional fractions

6 0

3 years ago

(04.05)

algol13

So I think it is Dwat u think it is

6 0

3 years ago

the uniform distribution over the interval 8.5 to 11.5 gallons per minute. Find the probability that between 9.0 gallons and 10.

Tema [17]

Answer: 1/3

Step-by-step explanation:

Here is the complete question:

machine is set to pump cleanser into a process at the rate of 9 gallons per minute. Upon inspection, it is learned that the machine actually pumps cleanser at a rate described by the uniform distribution over the interval 8.5 to 11.5 gallons per minute. Find the probability that between 9.0 gallons and 10.0 gallons are pumped during a randomly selected minute.

The Probability of the above question will be calculated as:

= (10-9) / (11.5 - 8.5)

= 1/3

The above is the easier way to solve this

3 0

2 years ago