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3 years ago

Help‼️What is the volume of the cylinder below?

Mathematics

2 answers:

Grace [21]3 years ago

8 0

V(cylinder) = base*height =(πr²)h = π*4²*6=96π

Answer: B. 96π units³.

guajiro [1.7K]3 years ago

3 0

Answer: B. 96π units³

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PLEASE HELP ASAP!! I'LL GIVE THE FIRST PERSON BRAINLIEST!

Arturiano [62]

Answer:

y=2

Hope this helps!

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3 years ago

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Find the equation of the line through point (2,−4) and parallel to −6x+2y=4. Use a forward slash (i.e. "/") for fractions (e.g.

chubhunter [2.5K]

Answer:

y = 3x - 10

Step-by-step explanation:

Step 1: Rewrite 1st equation

2y = 6x + 4

y = 3x + 4

Step 2: Find 2nd equation

y = 3x + b

-4 = 3(2) + b

-4 = 6 + b

b = -10

Step 3: Rewrite 2nd equation

y = 3x - 10

And we have your parallel equation!

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3 years ago

If the top of a 4.50 m ladder reaches twice as far up a vertical wall as the foot of the

STALIN [3.7K]

Answer:

4 m.

Step-by-step explanation:

Length of ladder, L = 4.50 m

Base of ladder from the wall, B = x

Height of the wall, H = 2x

Using Pythagoras theorem

$L^2 = B^2 + H^2$

$4.5^2 = x^2 + (2x)^2$

$5x^2 = 4.5^2$

$x = 2\ m\ (approx.)$

Height of the wall is equal to 2 x 2 = 4 m.

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3 years ago

The equation C = 0.20x + 50 gives the cost C in dollars for renting a truck and

k0ka [10]

Answer:

0.20 dollars/mile

Step-by-step explanation:

The slope actually has units. It has the meaning of 20 cents per mile. The units are cents per mile.

But it can also be 0.20 dollars/mile which is probably the way you should interpret it in a math class. That way it matches the units of the 50 which is for certain in dollars.

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3 years ago

The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in t

andreyandreev [35.5K]

Answer:

The test statistic is c. 2.00

The p-value is a. 0.0456

At the 5% level, you b. reject the null hypothesis

Step-by-step explanation:

We want to test to determine whether or not the mean waiting time of all customers is significantly different than 3 minutes.

This means that the mean and the alternate hypothesis are:

Null: $H_{0} = 3$

Alternate: $H_{a} = 3$

The test-statistic is given by:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

Sample of 100 customers.

This means that $n = 100$

3 tested at the null hypothesis

This means that $\mu = 3$

The average length of time it took the customers in the sample to check out was 3.1 minutes.

This means that $X = 3.1$

The population standard deviation is known at 0.5 minutes.

This means that $\sigma = 0.5$

Value of the test-statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}$

$z = 2$

The test statistic is z = 2.

The p-value is

Mean different than 3, so the pvalue is 2 multiplied by 1 subtracted by the pvalue of Z when z = 2.

z = 2 has a pvalue of 0.9772

2*(1 - 0.9772) = 2*0.0228 = 0.0456

At the 5% level

0.0456 < 0.05, which means that the null hypothesis is rejected.

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3 years ago