Ask question

Ask question

All categories

3 years ago

8

When the height of a cylinder is doubled and its radius is increased by 200%, the cylinder's volume is multiplied by a factor of

X. What is the value of X?

1 answer:

Radda [10]3 years ago

4 0

Answer:

<h2><em><u>x=2</u></em></h2>

Step-by-step explanation:

Look for key words, phrases, and numbers.

<h3><em><u>doubled, 200%</u></em></h3><h3><em><u /></em></h3>

they both mean multiplying by two, or <em><u>x2</u></em>

<em><u></u></em>

That means the volume of the cylinder is multiplied by factor of 2.

You might be interested in

Ann and Betty shared a sum of money in the ratio 2:3. If Ann received $120,what was the amount of money shared?

Ivenika [448]

Answer:

$420

Step-by-step explanation:

Given data

GIven ratio= 2:3

The total ratio= 2+5= 7

Ann's share= $120

Let us apply the part to all approach

let the total amount be x

so for Ann

2/7= 120/x

cross multiply

2x= 120*7

2x= 840

divide both sides by 2

x= 840/2

x= 420

Hence the amount shared is $420

4 0

3 years ago

Two functions are given below. f(x) =-4x+1 g(x)=-4x+1/2

Liono4ka [1.6K]

Answer:

hope this helps

Step-by-step explanation:

x= −1 /4 y + 1 /4

g= −8x+1 /2x

7 0

3 years ago

sleet_krkn [62]

Answer:

$1.\ m$

Step-by-step explanation:

1. Subtract 10 from both sides. Then:

$m+ 10< 16\\ m+ 10-10< 16-10\\m$

2. Divide both sides by -2. Notice that the direction of the symbol of the inequality will change. Then:

$-2g\geq8\\\\\frac{-2g}{-2}\geq\frac{8}{-2}\\\\g\leq-4$

3. Add 22 to both sides. Then:

$y-22< 19\\ y-22+22$

4. Divide both sides by -7. Notice that the direction of the symbol of the inequality will change. Then:

$-7b>-28\\\\\frac{-7b}{-7}>\frac{-28}{-7}\\\\b$

5. Subtract 30 from both sides. Then:

$h+30$

6. Divide both sides by -5. Notice that the direction of the symbol of the inequality will change. Then:

$-5x$

7. Subtract 13 from both sides. Then:

$t+13>22\\ t+13-13>22-13\\t>9$

8. Add 12 to both sides. Then:

$w-12< 16\\ w-12+12$

7 0

3 years ago

100 possible points!!!!!! and BRAINLIEST to correct answer of this question:

Akimi4 [234]

This should be a rotation!

7 0

3 years ago

Either use technology to find the P-value or use

Akimi4 [234]

Answer:

The first step is calculate the degrees of freedom, on this case:

$df=n-1=21-1=20$

Since is a one side left tailed test the p value would be:

$p_v =P(t_{(20)}$

And we can use the following excel code to find it: "=T.DIST(-0.024,20,TRUE)"

Step-by-step explanation:

Data given and notation

$\bar X$ represent the mean

$s$ represent the sample standard deviation

$n=21$ sample size

$\mu_o =140$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t=-0.024 would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean for the widths of tornadoes is lower than 140 yd, the system of hypothesis would be:

Null hypothesis: $\mu \geq 140$

Alternative hypothesis: $\mu < 140$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

The statistic is given by: $t = -0.024$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=21-1=20$

Since is a one side left tailed test the p value would be:

$p_v =P(t_{(20)}$

And we can use the following excel code to find it: "=T.DIST(-0.024,20,TRUE)"

Based on the p value obtained we can conclude that we FAIL to reject the null hypothesis at any significance level selected $\alpah=0.01,0.05,0.1$

7 0

3 years ago