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GrogVix [38]
4 years ago
11

What is the volume of the rectangular prism, when the height is 10 1/2, the width is 2 3/4 and the base is 5?

Mathematics
1 answer:
Mademuasel [1]4 years ago
5 0
The formula for distinguishing the volume of a rectangular prism is the Base being multiplied by the Height. In other words, the formula is:
V = Bh

Now, we need to substitute our values for each variable to solve for our volume.
V = 5 x 10.5; multiply the two numbers.
V = 52.5.

Your answer for this is "C.) 52 1/2" (as "52.5" is equivalent to "52 1/2").

I hope this helps!
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In a survey, the planning value for the population proportion is . How large a sample should be taken to provide a confidence in
tatuchka [14]

Answer:

n=350

Step-by-step explanation:

Notation and definitions

n random sample taken  (variable of interest)

\hat p=0.35 estimated proportion  (value assumed)

p true population proportion

Confidence =0.95 or 95% (value assumed)

Me=0.05 (value assumed)

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}})

In order to find the critical value we need to take in count that we are finding the interval 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}=-1.96, z_{1-\alpha/2}=1.96

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)  

And on this case we have that ME =\pm 0.05 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

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

And replacing into equation (b) the values from part a we got:

n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.586  

And rounded up we have that n=350

4 0
3 years ago
Which system of inequalities is shown in the graph?
Marysya12 [62]

Answer:

sry I can't understand how to do this question

5 0
3 years ago
Is this correct? I'm really confused xD
denpristay [2]
Yes, your current answer is correct. Divide each term by the divisor. 
4 0
4 years ago
Consider the probability that at least 93 out of 154 CDs will not be defective. Assume the probability that a given CD will not
Yuki888 [10]

Answer:

0.5962

Step-by-step explanation:

Given that :

p = 61% = 0.61

q = 1 - p = 1 - 0.61 = 0.39

n = 154 ; x = 93

Using the binomial probability formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x>=93) = p(x=93)+p(x=94)+...+p(x=n)

P(x>= 93) = 0.59619

P(x>= 93) = 0.5962

7 0
3 years ago
In a board game, negative number cards represent moving backward and positive number cards represent moving forward. For example
AleksAgata [21]
A)not moving any spaces
7 0
3 years ago
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