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3 years ago

Alex earns $210 in 21 hours. At this rate, how many dollars will he earn 35 hours?

Mathematics

2 answers:

Elenna [48]3 years ago

8 0

He will earn $350 because he is earning $10 every hour

Leviafan [203]3 years ago

4 0

210 : 21 = 10$ (1 hour of work)
10 * 35 = 350$ (35 hours of work)

or

210 : 21 * 35 =
10 * 35=
350

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The probability that a certain hockey team will win any given game is 0.3773 based on their 13 year win history of 389 wins out

notsponge [240]

Answer:

0.8895 = 88.95% probability that the hockey team wins at least 3 games in November.

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the teams wins, or they do not win. The probability of the team winning a game is independent of any other game, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The probability that a certain hockey team will win any given game is 0.3773.

This means that $p = 0.3773$

Their schedule for November contains 12 games.

This means that $n = 12$

Find the probability that the hockey team wins at least 3 games in November.

This is:

$P(X \geq 3) = 1 - P(X < 3)$

In which:

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{12,0}.(0.3773)^{0}.(0.6227)^{12} = 0.0034$

$P(X = 1) = C_{12,1}.(0.3773)^{1}.(0.6227)^{11} = 0.0247$

$P(X = 2) = C_{12,2}.(0.3773)^{2}.(0.6227)^{10} = 0.0824$

Then

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0034 + 0.0247 + 0.0824 = 0.1105$

$P(X \geq 3) = 1 - P(X < 3) = 1 - 0.1105 = 0.8895$

0.8895 = 88.95% probability that the hockey team wins at least 3 games in November.

3 0

2 years ago

Explain why you can use πr2 to find the area of the base of a cone

olga nikolaevna [1]

The base of a cone is a circle.

The area of a circle is $\pi r^2$ .

Thus, the area of the base of a cone $\pi r^2$ .

The derivation of the formula for the area of a circle involves a bit of calculus, but if you'd like, I can walk you through it.

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3 years ago

Roger goes to a restaurant with Cathy. They order an appetizer of calamari for $8. Roger has a glass of red wine for $4 and Cath

Schach [20]

Answer:

13.8

Step-by-step explanation:

8+4+5=17

26×2=52

17+52=69

69×.20=13.8

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3 years ago

What is 300 out of 2,530 as a percent

patriot [66]

In order to get the answer of that, let's understand first that the question can first be presented as a fraction form. So by breaking down the question, we will be able to get the fraction form which is 300/2530. Now in order to get the percent form of that, we simply divide 300 and 2530. The answer to that will result in 0.11858. Now we know for a fact that in order to make a decimal a percentage, we just have to move the decimal point two times to the right. So the answer is 11.858%

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3 years ago

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Is x=-2 linear or nonlinear

yKpoI14uk [10]

Answer:

non linear

Step-by-step explanation:

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2 years ago

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