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3 years ago

Find the Volume of the cone

Mathematics

1 answer:

Karolina [17]3 years ago

7 0

Answer:

Step-by-step explanation:

first we need to know that redious isn't gien

so we have to find redious

according to Pythagoras theorem

a²+b²=c²

a=√c²-b²

a=17²-15²

a=√(17+15)(17-15)

a=√64

a=8

$as \: we \: khow \: volume \: of \: a \: cone$

$= \frac{1}{3} \pi {r}^{2} h$

$\frac{1}{3} \pi \times {8}^{2} \times 15$

$\frac{\pi}{3} \times 64 \times 15$

$\pi \times 64 \times 5$

$3.141 \times 64 \times 5$

$1005.12$

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Solve for the value of X in 9^x+4(3^x+1)+27=0

worty [1.4K]

Answer:

No solutions

Step-by-step explanation:

$9^x + 4(3^x + 1) + 27 = 0\\3^{2x} + 4 \cdot 3^x + 31 = 0$

Substitute 3^x with t and we get.

$t^2 + 4t + 31 = 0\\\triangle = 16 - 4 \cdot 31 = -108 < 0 => t_{12} \notin R => x \notin R$

3 0

3 years ago

Select the correct answer.

tigry1 [53]

Answer:

We can be 95% certain that the sample mean will fall within $44.87 and $46.93

Step-by-step explanation:

Empirical Rule:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

Central Limit Theorem:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

Mean $45.90, standard deviation $10.31.

Sample:

By the Central limit theorem, mean $45.90, standard deviation $s = \frac{10.31}{\sqrt{400}} = \frac{10.31}{20} = 0.5155$

Which interval can the branch manager be 95% certain that the sample mean will fall within?

By the Empirical Rule, within 2 standard deviations of the mean. So

45.90 - 2*0.5155 = $44.87

45.90 + 2*0.5155 = $46.93

We can be 95% certain that the sample mean will fall within $44.87 and $46.93

6 0

2 years ago

Read 2 more answers

You use 4 gallons of water on 30 plants in your garden. At that rate, how much water will it take to water 45 plants?

lisabon 2012 [21]

6 gallons since the gallons of water is divided by too since the initial value added 1/2 so the number of gallons is divided by too and added to the original amount of gallons so i believe your answer will be 6 gallons

4 0

3 years ago

Read 2 more answers

At a little-known vacation spot, taxi fares are a bargain. A 18-mile taxi ride takes 21 minutes and costs $12.60. You want t

nordsb [41]

Given :

A 18-mile taxi ride takes 21 minutes and costs $12.60.

To Find :

The cost of a 39- mile taxi ride. What unit price do you need.

Solution :

Unit price per mile :

$p=\dfrac{12.60}{18}\\\\p = \$0.7\ /mile$