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mart [117]
3 years ago
14

A cone has a height of 8 inches in diameter of 6.4 inches what is the volume of the cone?

Mathematics
1 answer:
maxonik [38]3 years ago
5 0
The volume of the cone is 85.79 since the radius is 3.2
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A United Nations report shows the mean family income for Mexican migrants to the United States is $27,000 per year. A FLOC (Farm
disa [49]

Answer:

We conclude that the mean family income for Mexican migrants to the United States is $27,000 per year and the provided information is consistent with the United Nations report.

Step-by-step explanation:

We are given that a United Nations report shows the mean family income for Mexican migrants to the United States is $27,000 per year.

A FLOC  evaluation of 25 Mexican family units reveals a mean to be $30,000 with a sample standard deviation of $10,000.

Let \mu = <em><u>true mean family income for Mexican migrants.</u></em>

So, Null Hypothesis, H_0 : \mu = $27,000     {means that the mean family income for Mexican migrants to the United States is $27,000 per year}

Alternate Hypothesis, H_A : \mu \neq $27,000     {means that the mean family income for Mexican migrants to the United States is different from $27,000 per year}

The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

                          T.S. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean family income = $30,000

            s = sample standard deviation = $10,000

            n = sample of Mexican family = 25

So, <u><em>the test statistics</em></u>  =  \frac{30,000-27,000}{\frac{10,000}{\sqrt{25} } }  ~ t_2_4

                                     =  1.50

The value of t test statistics is 1.50.

Since, in the question we are not given the level of significance so we assume it to be 5%. <u>Now, at 5% significance level the t table gives critical values of -2.064 and 2.064 at 24 degree of freedom for two-tailed test.</u>

Since our test statistic lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.

Therefore, we conclude that the mean family income for Mexican migrants to the United States is $27,000 per year and the provided information is consistent with the United Nations report.

4 0
3 years ago
Translate to algebraic expressions
galben [10]
1. x+½
2. 82-x
3. 4(x+3/10)
4. 2x-21
5.2x²
6. ⅓(x+53)

7 0
3 years ago
Alex has x number of baseball cards Danny has 10 more baseball cards than Alex how many baseball cards does Danny have:write you
Vilka [71]

Answer:

x+10

Danny has 10 + x baseball cards

7 0
3 years ago
Ralph bought a computer monitor with an area of 384 square inches. The length of the monitor is six times the quantity of five l
Lynna [10]

Answer:

eh width = 103.5 inches

Step-by-step explanation:

x = width

Length = (x/2 - 5 )*6

so 384=x+3x-30

414=4x

x=414/4=103.5 inches

5 0
3 years ago
Emma earned a grade of 95% on her multiple choice history final that had a total of
Scrat [10]

Answer:

171

Step-by-step explanation:

180×95/100

180×95=17100

17100/100=171.

That is how I got my answer.

7 0
2 years ago
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