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fredd [130]
3 years ago
6

> Question A normal distribution is observed from the number of points per game for a certain basketball player. If the mean

is 15 points and the standard deviation is 3 points, what is the probability that in a randomly selected game, the player scored greater than 24 points? ​
Mathematics
1 answer:
densk [106]3 years ago
8 0

Answer:

The probability that in a randomly selected game, the player scored greater than 24 points is 0.0013 or 0.13%

Step-by-step explanation:

Given that

Mean = μ = 15 points

SD = σ = 3 points

For calculating probability for a data point, first of all we have to calculate the z-score of the value.

We have to find the probability of score greater than 24, then the z-score of 24 is:

z-score = (x-μ)/σ

z = (24-15)/3

z = 9/3

z = 3

Now we have to use the z-score table to find the probability of z<3 then it will be subtracted from 1 to find the probability of z>3

So,

P(z3) = 1 - P(z

Converting into percentage

0.0013 * 100 = 0.13%

Hence,

The probability that in a randomly selected game, the player scored greater than 24 points is 0.0013 or 0.13%

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Is y=x^2-6 a linear function and why
jarptica [38.1K]

Answer:

No.

Step-by-step explanation:

No, y=x²-6 is not a linear function.

This is because all linear functions have the highest exponent of 1. Anything equation that has a variable raised to a power other than 1 is not linear.

The equation provided as the highest exponent of 2. Thus, it's not linear.

From the provided graph, we can also see that this is quadratic instead of linear. The graph is a parabola instead of a line.

5 0
3 years ago
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If a x b = 2a - 3b + ab, then 3 x 5+5 x 3 is equal to?
Reptile [31]

Answer:

B 22

Step-by-step explanation:

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3 years ago
The equation $y=-4.9t^2+3.5t+5$ describes the height (in meters) of a ball thrown upward at $3.5$ meters per second from $5$ met
Georgia [21]

Answer:

Step-by-step explanation:

The position function is

s(t)=-4.9t^2+3.5t+5 and if we are looking for the time t it takes for the ball to hit the ground, we are looking for the height of the ball when it is on the ground. Of course the height of anything on the ground is 0, so if we set s(t) = 0 and solve for t, we will find our answer.

0=-4.9t^2+3.5t+5 and factor that however you are currently factoring in class to get that

t = -.71428 seconds or

t = 1.42857 seconds (neither one of those is rational so they can't be expressed as fractions).

We all know that time will never be a negative value, so the time it takes this ball to hit the ground is

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4 0
3 years ago
Which equation is part of solving the system by substitution? 4(y + 11)2 – 3y2 = 8 4(11 – y)2 – 3y2 = 8 4(y – 11)2 – 3y2 = 8 4(–
swat32

Answer:

4(11-y)^{2} -3y^{2}=8

Step-by-step explanation:

we have

x+y=11 ----> equation A

4x^{2} -3y^{2}=8 ----> equation B

Solve the system by substitution

step 1

isolate the variable x in the equation A

x=11-y ----> equation A1

step 2

Substitute the equation A1 in the equation B

4(11-y)^{2} -3y^{2}=8

Solve for y

3 0
3 years ago
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You need to split it in half then multply then add
Harrizon [31]

Answer:

130^2 or 130 meters squared

Step-by-step explanation:

I decomposed the figure, then found the area of the decomposed figures then found the sum of them.

FIGURE A:

3 x 3 = 9

= 9^2

FIGURE B:

11 x 11 = 121

= 121 meters^2

So 121 + 9 = 130

= 130 meters^2

REMEMBER!!!!

THE FORMULA FOR AREA IS LENGTH * WIDTH = AREA

8 0
3 years ago
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