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3 years ago

Find the Volume A.108 B.54 C.18 D.36

Mathematics

2 answers:

beks73 [17]3 years ago

6 0

Answer:

Step-by-step explanation:

3x4x9 = 108

Paha777 [63]3 years ago

4 0

3x9x4 = 108
Answer is A

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Olenka [21]

Answer:

a or b

Step-by-step explanation:

just took the quiz

8 0

3 years ago

In a random sample of 25 people, the mean commute time to work was 33.9 minutes and the standard deviation was 7.2 minutes. Ass

Phoenix [80]

Answer:

$33.9-1.32\frac{7.2}{\sqrt{25}}=31.999$

$33.9+1.32\frac{7.2}{\sqrt{25}}=35.801$

So on this case the 80% confidence interval would be given by (31.999;35.801)

And the margin of error is given by:

$ME = t_{\alpha/2}\frac{s}{\sqrt{n}}$

And replacing we got:

$ME = 1.32\frac{7.2}{\sqrt{25}} =1.9008$

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".

$\bar X=33.9$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=7.2 represent the sample standard deviation

n=25 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

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

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=25-1=24$

Since the Confidence is 0.80 or 80%, the value of $\alpha=0.2$ and $\alpha/2 =0.1$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.01,24)".And we see that $t_{\alpha/2}=1.32$

Now we have everything in order to replace into formula (1):

$33.9-1.32\frac{7.2}{\sqrt{25}}=31.999$

$33.9+1.32\frac{7.2}{\sqrt{25}}=35.801$

So on this case the 80% confidence interval would be given by (31.999;35.801)

And the margin of error is given by:

$ME = t_{\alpha/2}\frac{s}{\sqrt{n}}$

And replacing we got:

$ME = 1.32\frac{7.2}{\sqrt{25}} =1.9008$

7 0

4 years ago

A grid shows the positions of a subway stop and your house. The subway stop is located at (7,-4) and your house is located at (-

Ede4ka [16]

Answer:

The distance between two points; the solution is √200 units

Step-by-step explanation:

To determine the distance between two points, get the difference between the y-co-ordinates which is (6)-(-4)=10 units in this case. Consequently obtain the difference between the x-co-ordinates values which in this case is -3-7=-10 units. Thereafter we square these two values, sum them then obtain their square root. That is, square root of (100+100). √200 = 14.14

6 0

3 years ago

5(x+3)(x+2)-3(x2+2x+1)

mr Goodwill [35]

[ Answer ]

$\boxed{5x^{2} \ + \ 13x \ + \ 27}$