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soldier1979 [14.2K]

3 years ago

9

The height of a cone is twice the radius of its base. A cone has a height of 2 x and a radius of x. What expression represents t

he volume of the cone, in cubic units? Two-thirdsπx3
Four-thirdsπx2
2πx3
4πx3

2 answers:

notsponge [240]3 years ago

5 0

Answer:

Let's Find it!

Step-by-step explanation:

So let's use the formula for the volume of a cone:

$V=\pi r^{2} \frac{h}{4} \\V=\pi *x^{2} *\frac{1}{2} x\\V=\frac{1}{2} \pi x^{3}$

So there you go!(you could also plug the things in google but thats okay)

Hope this Helps!

P.S. Stay Safe!

Kaylis [27]3 years ago

4 0

Answer:

The answer is 2πx²

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If f(x) is an exponential function where f(-1.5) 26 and

mariarad [96]

Answer:

$f(10) = 1147.25$

Step-by-step explanation:

Given

$f(-1.5) = 26$

$f(5.5) = 7$

Required

f(10)

An exponential function is represented as:

$f(x) = ab^x$

$f(-1.5) = 26$ impleies that:

$26 = ab^{-1.5}$ --- (1)

$f(5.5) = 7$ implies that

$7 = ab^{5.5}$ --- (2)

Divide (2) by (1)

$26/7 = ab^{-1.5}/ab^{5.5}$

$3.71429 = b^{-1.5+5.5}$

$3.71429 = b^{4}$

Take 4th root

$b = 1.39$

Substitute $b = 1.39$ in $26 = ab^{-1.5}$

$26 = a * 1.39^{-1.5}$

$26 = a * 0.6102$

Solve for (a)

$a = 26/0.6102$

$a = 42.61$

f(10) is calculated as:

$f(10) = ab^{10}$

$f(10) = 42.61 * 1.39^{10}$

$f(10) = 1147.25$

3 0

2 years ago

The owner of a football team claims that the average attendance at games is over 523, and he is therefore justified in moving th

USPshnik [31]

Answer:

C) There is not sufficient evidence to support the claim that the mean attendance is greater than 523.

Step-by-step explanation:

Let μ be the the average attendance at games of the football team

The claim: the average attendance at games is over 523

Null and alternative hypotheses are:

$H_{0}$ : μ=523

$H_{a}$ : μ>523

The conclusion is failure to reject the null hypothesis.

This means that <em>test statistic</em> is lower than <em>critical value</em>. Therefore it is not significant, there is no significant evidence to accept the <em>alternative</em> hypothesis.

That is no significant evidence that the average attendance at games of the football team is greater than 523.

7 0

2 years ago

A set of test scores is normally distributed with a mean of 130 and a standard deviation of 30 What score is necessary to reach

nlexa [21]

Answer:

A score of 150.25 is necessary to reach the 75th percentile.

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

A set of test scores is normally distributed with a mean of 130 and a standard deviation of 30.

This means that $\mu = 130, \sigma = 30$

What score is necessary to reach the 75th percentile?

This is X when Z has a pvalue of 0.75, so X when Z = 0.675.

$Z = \frac{X - \mu}{\sigma}$

$0.675 = \frac{X - 130}{30}$

$X - 130 = 0.675*30$

$X = 150.25$

A score of 150.25 is necessary to reach the 75th percentile.

7 0

3 years ago

PLEASE HELP ITS DUE AT MIDNIGHT

antiseptic1488 [7]

Answer:
The rest of the question is the attached figure
The percent change =
If (+ve) increase and if (-ve) decrease
Part A: What is the percent of change in the cost of a pizza?
The initial price = $7.5
The final price = $9
The percent change = %
Part B: What is the percent of change in the cost of a cheeseburger?
The initial price = $5
The final price = $6.5
The percent change = %
Part C: What is the percent of change in the cost of a serving fries?
The initial price = $2
The final price = $4.5
The percent change = %
Part D: What is the percent of change in the cost of a hot dog?
The initial price = $2.5
The final price = $2
The percent change = %
i found this online i hope if helps you

3 0

2 years ago

Read 2 more answers

Make ‘w’ the subject.

Romashka-Z-Leto [24]

Answer:

w = (cv +dy) / (cb - ad)

Step-by-step explanation:

Multiply through by c

aw + y = c(bw + v) / d Multiply by d

d(aw + y) = c(bw + v) Remove the brackets

daw + dy = cbw + cv Subtract dy from both sides.

daw +dy - dy = cbw + cv -dy

daw = cbw + cv - dy Subtract cbw from both sides

daw - cbw = cbw - cbw + cv - dy

daw - cbw = cv - dy Isolate W on the left.

w(da - cb) = cv - dy Divide by cb - ad on both sides.

w = (cv - dy) / (ad - bc) Answer

6 0

3 years ago