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fomenos
4 years ago
7

What is the exact volume of the cylinder? Enter your answer in terms of pi

Mathematics
1 answer:
dimaraw [331]4 years ago
6 0
3.14 \times {1.5}^{2} \times 2.5
π×r2*h
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Two events, X and Y, are independent of each other. P(Y)= and P(X and Y)=. What is P(X) written as a decimal? Round to the neare
Rainbow [258]

Answer:

0.4

Step-by-step explanation:

The question is not complete, the correct question is:

Two events, X and Y, are independent of each other. P(Y) = 5/6 and P(X and Y) = 1/3. What is P(X) written as a decimal? Round to the nearest tenth, if necessary

Answer: Two events (event X and event Y) are said to be independent if the probability of event X occurring does not affect the probability of event Y occurring and vice versa. If the probability of X = P(X) and the probability of Y = P(Y), therefore P(X and Y) = P(X) × P(Y).

Given that P(Y) = 5/6 and P(X and Y) = 1/3. Therefore:

P(X and Y) = P(X) × P(Y)

Making P(X) the subject of formula by dividing through by P(Y) gives:

P(X)=\frac{P(X\ and\ Y)}{P(Y)} \\Substituting\ values:\\P(X)=\frac{\frac{1}{3} }{\frac{5}{6} }=\frac{1}{3} *\frac{6}{5}=\frac{2}{5}=0.4\\   P(X)=0.4

5 0
3 years ago
Read 2 more answers
Which of the following polynomials has an even degree and a negative leading coefficient?
spin [16.1K]

Using limits, the polynomial that has an even degree and a negative leading coefficient is:

Polynomial going down from the left and passing through the point negative 7 comma 0 and going to a local minimum and then going up through the point negative 3 comma 0 and 0 comma 8 to a local maximum and then down to the right through the point 4 comma 0.

<h3>What is a limit?</h3>

A limit is given by the value of function f(x) as x tends to a value.

In this problem, to find the polynomial, we have to find the limits as x goes to infinity, hence:

\lim_{x \rightarrow -\infty} f(x) = [tex]\lim_{x \rightarrow -\infty} -a x^n

Since n is even, we have that:

  • \lim_{x \rightarrow -\infty} -a (-\infty)^n = -a \times \infty = -\infty
  • \lim_{x \rightarrow \infty} -a (\infty)^n = -a \times \infty = -\infty

Since it goes down to the left and down to the right, hence the function is:

Polynomial going down from the left and passing through the point negative 7 comma 0 and going to a local minimum and then going up through the point negative 3 comma 0 and 0 comma 8 to a local maximum and then down to the right through the point 4 comma 0.

More can be learned about limits at brainly.com/question/26270080

#SPJ1

4 0
2 years ago
What is the order of the steps to solve for x in the equation 3x - 6x - 7 = 29?
Anna35 [415]

Answer:

3x - 6x - 7 = 29 <u>Given</u>

<u>-----------------------------------</u>

3x - 6x -7  = 29

           + 7   + 7     <u>Addition property of equality</u>

3x - 6x = 36

<u>--------------------------------------------------------------</u>

3x - 6x = 36

<u>(</u>3x + -6x) = 36         <u>Combine like terms</u>

-3x = 36    

<u>--------------------------------------------------------------</u>

-3x = 36

(-3x = 36)/ -3         <u>Division property of equality</u>

x = -12

<u />

Step-by-step explanation:

I tried to seperate the steps so you can go through them. First you had to add on both sides to take out the like terms, then combine the 3x and the  -6x to make -3x (easier to look at and divide), and finally divide to find X. the end product using X cannot be a negative because its a filler space for a real number.

Hope this helps :)

8 0
4 years ago
the ratio of boys to girls in a class is 7 to 11. if there are a total of 49 boys in the class , then how many boys and girls ar
tatyana61 [14]

Answer:

There are <u>77</u><u> girls</u> in the class when there are 49 boys.

8 0
3 years ago
Read 2 more answers
What is the range of the function graphed below?
Dmitriy789 [7]

Answer:

Negative 3 less-than y less-than-or-equal-to 3

Step-by-step explanation:

By looking at a coordinate plane, we can easily see the range

remember, a closed dot means includes , and an open dot means does not include

[closed dot]

(open dot)

the range is all possible y-values. so, all y values shown are

3               which it includes

to -3            which it excludes  / does not include

so, all y values are greater than -3 and less than or equal to 3

7 0
2 years ago
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