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1 year ago

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The formula for the volume of a cylinder is V=πr^2h The cylinder to the right has an exact volume of 160π cubic meters. Find its

height.
the height of the cylinder is ____

1 answer:

Gala2k [10]1 year ago

8 0

The height of the cylinder with a volume of 160π m³ is 10 meters.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Let us assume that the radius of the cylinder is 4 m, hence:

V = πr²h

160π = π(4)²h

h = 10 meters

The height of the cylinder with a volume of 160π m³ is 10 meters.

Find out more on equation at: brainly.com/question/2972832

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UNO [17]

Answer:

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Step-by-step explanation:

This is because the line has points in which time and distance are connected (Ex. 100 and 2)

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3 years ago

In a regression analysis involving 30 observations, the following estimated regressionequation was obtained.y^ =17.6+3.8x 1 −2.3

USPshnik [31]

Answer:

(a) There is a significant relationship between y and $x_1, x_2, x_3, x_4$

(b) $SSE_{(x_1 ,x_2 ,x_3 ,x_4) }= 45$

(c) $SSE_{(x_2,x_3)} = 100$

(d) $x_1$ and $x_4$ are significant

Step-by-step explanation:

Given

$y = 17.6+3.8x_1 - 2.3x_2 +7.6x_3 +2.7x_4$ --- estimated regression equation

$n = 30$

$p = 4$ --- independent variables i.e. x1 to x4

$SSR = 1760$

$SST = 1805$

$\alpha = 0.05$

Solving (a): Test of significance

We have:

$H_o :$ There is no significant relationship between y and $x_1, x_2, x_3, x_4$

$H_a :$ There is a significant relationship between y and $x_1, x_2, x_3, x_4$

First, we calculate the t-score using:

$t = \frac{SSR}{p} \div \frac{SST - SSR}{n - p - 1}$

$t = \frac{1760}{4} \div \frac{1805- 1760}{30 - 4 - 1}$

$t = 440 \div \frac{45}{25}$

$t = 440 \div 1.8$

$t = 244.44$

Next, we calculate the p value from the t score

Where:

$df = n - p - 1$

$df = 30 -4 - 1=25$

The p value when $t = 244.44$ and $df = 25$ is:

$p =0$

So:

$p < \alpha$ i.e. $0 < 0.05$

Solving (b): $SSE(x_1 ,x_2 ,x_3 ,x_4)$

To calculate SSE, we use:

$SSE = SST - SSR$

Given that:

$SSR = 1760$ ----------- $(x_1 ,x_2 ,x_3 ,x_4)$

$SST = 1805$

So:

$SSE_{(x_1 ,x_2 ,x_3 ,x_4)} = 1805 - 1760$

$SSE_{(x_1 ,x_2 ,x_3 ,x_4) }= 45$

Solving (c): $SSE(x_2 ,x_3)$

To calculate SSE, we use:

$SSE = SST - SSR$

Given that:

$SSR = 1705$ ----------- $(x_2 ,x_3)$

$SST = 1805$

So:

$SSE_{(x_2,x_3)} = 1805 - 1705$

$SSE_{(x_2,x_3)} = 100$

Solving (d): F test of significance

The null and alternate hypothesis are:

We have:

$H_o :$ $x_1$ and $x_4$ are not significant

$H_a :$ $x_1$ and $x_4$ are significant

For this model:

$y =11.1 -3.6x_2+8.1x_3$

$SSE_{(x_2,x_3)} = 100$

$SST = 1805$

$SSR_{(x_2 ,x_3)} = 1705$

$SSE_{(x_1 ,x_2 ,x_3 ,x_4) }= 45$

$p_{(x_2,x_3)} = 2$

$\alpha = 0.05$

Calculate the t-score

$t = \frac{SSE_{(x_2,x_3)}-SSE_{(x_1,x_2,x_3,x_4)}}{p_{(x_2,x_3)}} \div \frac{SSE_{(x_1,x_2,x_3,x_4)}}{n - p - 1}$

$t = \frac{100-45}{2} \div \frac{45}{30 - 4 - 1}$

$t = \frac{55}{2} \div \frac{45}{25}$

$t = 27.5 \div 1.8$

$t = 15.28$

Next, we calculate the p value from the t score

Where:

$df = n - p - 1$

$df = 30 -4 - 1=25$

The p value when $t = 15.28$ and $df = 25$ is:

$p =0$

So:

$p < \alpha$ i.e. $0 < 0.05$

<em>Hence, we reject the null hypothesis</em>

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3 years ago

The head of the math department is studying the student scores on last year's basic skills test. She has determined the median s

avanturin [10]

Answer:

25%

Step-by-step explanation:

The median score of 70% indicates half of the student scored less than 70%.

An upper quartile of 85% means 3/4 of the students scored less than 85% or, stated in another way, 1/4 of the students scored above or equal to 85%.

From sentence 1, 50% of the students scored below 70%.

From sentence 1, 75% of the students scored below 85%.

The percentage that score between 70% and 85% is 75% - 50% = 25%

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4 years ago

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lilavasa [31]

Answer:

The ship is traveling at 25 mph

Step-by-step explanation:

12.5/0.5=25

25/1=25

37.5/1.5=25

The speed is constant (25) so the ship is moving at 25 mph

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3 years ago

Help<br> thanks!!!!!!!!!!!!!!!!!!!!!!!!!

harkovskaia [24]

The answer is A because that information they gave to you

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3 years ago

Read 2 more answers