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icang [17]
2 years ago
11

The volume of a cylinder is 480pie cm3. The height of the cylinder is 30 cm. What is the radius of the

Mathematics
1 answer:
guajiro [1.7K]2 years ago
7 0

Answer:

R = 4cm

Step-by-step explanation:

V = π(R)²h = 480π

Divide by π

(R)²h = 480

Substitute h with 30

30*(R)² = 480

Divide by 30

(R)² = 16

Square root

R = 4cm

We do not accept R= -4 because it's a length, so it must be positive.

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McAllister et al. (2012) compared varsity football and hockey players with varsity athletes from noncontact sports to determine
jonny [76]

Answer:

t _{critical} = 1.760

t = 2.2450

d. 0.264

Step-by-step explanation:

The null hypothesis is:

H_o: \mu_1 - \mu_2 = 0

Alternative hypothesis;

H_a : \mu_1 - \mu_2 > 0\\

The pooled variance t-Test would have been determined if the population variance are the same.

S_p^2 = \dfrac{(n_1-1)S_1^2+(n_2-1)S^2_2}{(n_1-1)+(n_2-1)}

S_p^2 = \dfrac{(8-1)2.507^2+(8-1)2.8282^2}{(8-1)+(8-1)}

S_p^2 = 7.14

The t-test statistics can be computed as:

t= \dfrac{(x_1-x_2)-(\mu_1 - \mu_2)}{\sqrt{Sp^2 ( \dfrac{1}{n} +\dfrac{1}{n_2})}}

t= \dfrac{(9-6)-0}{\sqrt{7.14 ( \dfrac{1}{8} +\dfrac{1}{8})}}

t= \dfrac{3}{1.336}

t = 2.2450

Degree of freedom df = (n_1 -1) + ( n_2 +1 )

df = (8-1)+(8-1)

df = 7 + 7

df = 14

At df = 14 and ∝ = 0.05;

t _{critical} = 1.760

Decision Rule: To reject the null hypothesis if the t-test is greater than the critical value.

Conclusion: We reject H_o and there is sufficient evidence to conclude that the test scores for contact address s less than Noncontact athletes.

To calculate r²

The percentage of the variance is;

r^2 = \dfrac{t^2}{t^2 + df}

r^2 = \dfrac{2.2450^2}{2.2450^2 + 14}

r^2 = \dfrac{5.040025}{5.040025+ 14}

r^2 = 0.2647

7 0
3 years ago
To pay for a $23,700 motorcycle, Carmen made a down payment of $3900 and took out a loan for the rest. On the loan, she paid mon
kari74 [83]

Answer:

<h3>a.)</h3>

Carmen paid monthly payments of $438.27 for 4 years.

i.e.,

1 year = 12 months

4 year = 12 × 4 = 48 months

So,

438.27 × 48 = $21,036.96

Now, the total amount including down payment is,

$21,036.96 + $3900 = $24,936.96

Thus, The total amount Carmen ended up paying for the motorcycle (including the down payment and monthly payments) is $24,936.96.

 

<h3>b.)</h3>

Interest did Carmen pay on the loan,

$24,936.96 - $23,700 = $1236.96

Thus, The answer is $1236.96.

 

<u>-TheUnknownScientist</u><u> 72</u>

3 0
2 years ago
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Rina8888 [55]

Answer:

-7, -2, 3, 11

Step-by-step explanation:

Negative numbers are "smaller" than positive numbers. Just arrange them.

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3 years ago
What is GCF of 27 45 63
givi [52]

The greatest common factor of 27, 45, and 63 is 9

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The day my sibling reads a book I did, is the day I will never be allowed to read again. Iykyk
Rainbow [258]

Answer:

yes they do allowed the book

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