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3 years ago

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Solve the equation

lt=" \sqrt{x} -6+2=6" align="absmiddle" class="latex-formula">for the variable. Show each step of your solution process.

1 answer:

FromTheMoon [43]3 years ago

4 0

Hope this helped you :)

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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:

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

So

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

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

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

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

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

A dozen muffins costs $5. Large bottles

notka56 [123]

Answer: Option D) 3 x 5 + 4 x 2

Step-by-step explanation:

- Since a dozen muffins costs $5.

Buying 3 dozen muffins means (3 x $5)

- Since Large bottles of juice cost $2.

The cost of 4 large bottles of juice is (4 x $2)

Hence, the total cost is (3 x $5) + (4 x $2)

= $15 + $8

= $23

Now, you'll notice that "3 x 5 + 4 x 2" gives 23.

Thus, it is the only expression that could be used to find the total cost.

5 0

3 years ago

NO LINKS OR FILES ONLY ANSWER IF YOU KNOW IT PLEASE

agasfer [191]

Answer:

c

Step-by-step explanation:

100% is the whole graph so 23% of 100 is 23

5 0

2 years ago

How do you get 2 square root of 2 from 4

balandron [24]

Answer:

2 x 2 = 4

Step-by-step explanation:

If you're trying to find the square root of say, 9, it would be 3 x 3 and your trying to find a square root something it's just something multiplied by itself again. such as the square root 1225 is 35 x 35, because 35 x 35 is 1225. Sorry if this is to complicated for you I learnt this in first term and I found it easy to grasp because of the way my math teacher taught it.

Sorry in advance ¯\_(⸟‸⸟)_/¯

8 0

3 years ago

Write a rational number in fraction form that is equivalent to 2.5 (repeating)

Shtirlitz [24]

Answer:

That would be 2/4 equivalent to 1/2 (2.5)

Step-by-step explanation:

Sorry if I'm wrong

3 0

2 years ago

Read 2 more answers