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34kurt
2 years ago
10

On Saturday, Quentin will earn $15 more than 2 times the amount of money he earned on Friday. If Quentin earned d

Mathematics
1 answer:
Licemer1 [7]2 years ago
6 0
Your anwser will be (A) - 2d+15
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Wayne Gretsky scored a Poisson mean six number of points per game. sixty percent of these were goals and forty percent were assi
BartSMP [9]

Answer:

a) The mean for the total revenue he earns per game is of 13.2K while the standard deviation is of 3.63K.

b) 0.05 = 5% probability that he has four goals and two assists in one game

Step-by-step explanation:

In hockey, a point is counted for each goal or assist of the player.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval. The standard deviation is the square root of the mean.

(a) Find the mean and standard deviation for the total revenue he earns per game.

60% of six are goals, which means that 60% of the time he earned 3K.

40% of six are goals, which means that 40% of the time he earned 1K.

The mean is:

\mu = 6*0.6*3 + 6*0.4*1 = 13.2

The standard deviation is:

\sigma = \sqrt{\mu} = \sqrt{13.2} = 3.63

The mean for the total revenue he earns per game is of 13.2K while the standard deviation is of 3.63K.

(b) What is the probability that he has four goals and two assists in one game

Goals and assists are independent of each other, which means that we find the probability P(A) of scoring four goals, the probability P(B) of getting two assists, and multiply them.

Probability of four goals:

60% of 6 are goals, which means that:

\mu = 6*0.6 = 3.6

The probability of scoring four goals is:

P(A) = P(X = 4) = \frac{e^{-3.6}*(3.6)^{4}}{(4)!} = 0.19122

Probability of two assists:

40% of 2 are assists, which means that:

\mu = 6*0.4 = 2.4

The probability of getting two assists is:

P(B) = P(X = 2) = \frac{e^{-2.4}*(2.4)^{2}}{(2)!} = 0.26127

Probability of four goals and two assists:

P(A \cap B) = P(A)*P(B) = 0.19122*0.26127 = 0.05

0.05 = 5% probability that he has four goals and two assists in one game

5 0
2 years ago
60 POINTS PLEASE SEND ME A COMPLETED COPY OF THIS "linear functions worksheet: child's growth and prosperity
Lady bird [3.3K]

Answer:

give it to me now and then I'll do it

6 0
3 years ago
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I’ll Mark u as brainless if you solve this
Contact [7]

i think the person below me is correct and the answer is 12

4 0
3 years ago
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What is the slope of a line that is perpendicular to the line who’s equation is y=4/5x-3
alexandr402 [8]

This line y = 4/5 x - 3 has slope = 4/5

Perpendicular lines, slope is opposite and reciprocal so slope of a line that is perpendicular to the line y = 4/5 x - 3 is -5/4

Answer

- 5/4

8 0
3 years ago
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A car enters a turnpike 22 miles north of the town. The car travels north at an average speed of 60 miles per hour. How far is t
QveST [7]

Answer:

y = 60x + 22

262 miles

Step-by-step explanation:

Given that the car enters the turnpike at 22 miles, his initial starting point, or initial value (b) is 22.  You also know the rate at which the car travels is 60 miles per hour, which is the slope (m).  Using the slope-intercept formula of a linear function: y = mx + b, you can plug in your initial value and rate:

y = 60x + 22, where y = the total miles and x = the number of hours traveled

After 4 hours:

y = 60(4) + 22 = 240 + 22 = 262 miles

8 0
2 years ago
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