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The probability that a certain hockey team will win any given game is 0.3723 based on their 13 year win history of 385 wins out

Whitepunk [10]

Answer:

0.1505 = 15.05% probability that the hockey team wins 6 games in November

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the team wins, or it does not. The probability of winning a game is independent of winning other games. So we use the binomial probability distribution 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 0.3723

So $p = 0.3723$

12 games in November

So $n = 12$

What is the probability that the hockey team wins 6 games in November?

This is $P(X = 6)$

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

$P(X = 6) = C_{12,6}.(0.3723)^{6}.(1-0.3723)^{6} = 0.1505$

0.1505 = 15.05% probability that the hockey team wins 6 games in November

4 0

3 years ago

Find f(-3) for f(x)=3x^2+5x-14

Afina-wow [57]

Answer:

-2

Step-by-step explanation:

f(x)=3x^2+5x-14

f(-3)=3(-3)^2+5(-3)-14

f(-3)=3(-3)(-3)-15-14

f(-3)=3(9)-29

f(-3)=27-29

f(-3)=-2

8 0

3 years ago

Read 2 more answers

pam deposited $6,900 in a savings account with simple interest. Four months later she had earned $23 in interest. What was the i

3241004551 [841]

Answer:

1%

Step-by-step explanation:

We use the simple interest equation of A=P(1+rt).

A-the total amount with interest earned

P-the initial amount or principal

r-rate

t-time in years

We substitute the values P=6900, A=6923, and t=0.33 since 4 months divided by 12 months is 0.333 years. We then solve for r.

$6923=6900(1+r(0.33))\\6923=6900(1+0.33r)\\\frac{6923}{6900} =\frac{6900(1+0.33r)}{6900} \\1.0033=1+0.33r\\1.0033-1=1-1+0.33r\\0.0033=0.33r$

Our final step is to divide both sides by 0.33.

$\frac{0.0033}{0.33} =\frac{0.33r}{0.33} \\0.01=r$

This is the decimal of the rate. We convert to a percentage by multiplying by 100. 0.01(100)=1%.

5 0

2 years ago

Use the quadratic formula to find the solutions to the quadratic equation below 2x2 - 3x + 6 = 0

Katarina [22]

Answer:

$x=\frac{3}{4} +i\frac{\sqrt{39}}{4}, x=\frac{3}{4} -i\frac{\sqrt{39}}{4}\\$

OR

x=\frac{3}{4} ±i\frac{\sqrt{39}}{4}\\

Step-by-step explanation:

6 0

3 years ago

what’s the better value 1/2 kg of bulk sunflower seeds costing $.70 per 100 grams or A 500 mg bag of prepackage seeds costing $3

PilotLPTM [1.2K]

Answer:

A 500 mg bag of prepackage seeds costing $3.95

Step-by-step explanation:

First, you need to know the amoun of grams in 1/2 kg to find the cost of the sunflower seeds:

1 kg→1000 grams

1/2 kg→ x

x=(1000*(1/2))/1

x= 1000/2

x= 500 grams

Second, you have to find the cost of 500 grams of sunflower seeds:

100 grams → $0.70

500 grams→ x

x=(500 *0.70)/100

x= 3.5

According to this, 1/2 kg of of bulk sunflower seeds cost $3.5 which is cheaper than the 500 mg bag of prepackage seeds that cost $3.95 and this means that the better value is 1/2 kg of bulk sunflower seeds as the amount is also higher as 500 mg is equal to 0.5 grams.

4 0

2 years ago