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MAVERICK [17]
4 years ago
14

A cylinder has a radius of 2 meters and a height of 10 meters. What is the volume of the cylinder? Cylinder V = Bh 1. Write the

formula replacing B with the formula for the area of a circle: 2. Substitute the actual measures for the variables: 3. Evaluate the power: V = πr2h V = π(22)(10) V = π(4)(10) 4. Simplify: V = π m3
Mathematics
1 answer:
Maru [420]4 years ago
6 0

Answer:

V = πr^2h

V = 40π m^3

Step-by-step explanation:

volume of a cylinder

V = Bh,

where B = area of the base

When the base is a circle, then the area of the base is

B = πr^2

Then the volume of the cylinder is

V = πr^2h

You are given the radius is 2 m, and the height is 10 m, so you have

r = 2 m, and h = 10 m

V = π(2 m)^2(10 m)

V = π(4)(10) m^3

V = 40π m^3

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A fair coin is tossed 3 times in a row. What is the probability that heads appears on only the last toss? A. `1/8` B. `3/8` C. `
expeople1 [14]

Answer:

P(heads appears on only the last toss) = \frac{1}{8}

Step-by-step explanation:

A fair coin is tossed 3 times in a row.

When a coin is tossed we get a tail or head T or H

The possible outcomes of 3 coins are

T T T , H H H , T H H, H T H, H H T, H T T , T H T, T T H

So total of 8 possible outcomes

heads appears on only the last toss , first and second toss should be tail

So its T T H. Only one possibility

Probability(any event)  = number of outcomes / total outcomes

P(heads appears on only the last toss) = \frac{1}{8}





6 0
3 years ago
What is the rate of change of the function?
Alona [7]

We have been given that on a coordinate plane a line with negative slope passes through points (0,1) and (1,-1). We are asked to find the rate of the change of the function.

We know that slope represents rate of change of function.

We will use slope formula to solve our given problem.

m=\frac{y_2-y_1}{x_2-x_1}

Let (x_1,y_1)=(0,1) and (x_2,y_2)=(1,-1).

m=\frac{-1-1}{1-0}

m=\frac{-2}{1}

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Therefore, the rate of change of the given function is -2.

8 0
3 years ago
Read 2 more answers
In a recent survey of 25 voters, 17 favor a new city regulation and 8 oppose it. What is the probability that in a random sample
Rasek [7]

Answer:

P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

The probability in favor of the regulation based on the recent survey is:

p = \frac{17}{25}=0.68

Let X the random variable of interest "Number of favor respondents about the regulation", on this case we now that:

X \sim Binom(n=6, p=0.68)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

And we want to find this probability:

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If we use X= "Number of respondednts opposed to the regulation we got the same answer", but on this case p = 1-0.68=0.32, and we want this probability:

P(X=4)=(6C4)(0.32)^4 (1-0.32)^{6-4}=0.0727

6 0
3 years ago
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vovangra [49]

Both trees would be the same in 2 years at 7 feet.

Hope this helps.

8 0
3 years ago
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aliina [53]

Answer:

The 10 inch one because half of 16 is 8 so he would only get 8 inches of pizza.

Step-by-step explanation:

5 0
3 years ago
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