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algol [13]
3 years ago
15

What is the vertex form of the equation?

Mathematics
1 answer:
Oxana [17]3 years ago
4 0

Answer:

- (x - 6)^2 + 32

Step-by-step explanation:

-x^2 + 12x- 4

= - (x^2 - 12x) - 4

= - [(x - 6)^2 - 36) - 4

= -(x - 6)^2 + 32

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Suppose a NBA basketball player has 5% chance of picking up a foul every minute he plays. What is the probability that he will p
alukav5142 [94]

Answer:

He wont foul out with probability 0.9093

Step-by-step explanation:

The total number of fools he picked is a Binomial ditribution noted by X with parameters p = 0.05 and N = 48. The mean of this random variable is μ = np = 48*0.05 = 2.4 and the variance is σ² = np(1-p) = 2.4*0.95 = 2.28, hence its standard deviation is σ = √2.28 = 1.51.

Note that, if approximate probability is asked, we could just approximate X with a Normal random variable with mean 2.4 and standard deviation 1.51 (this can be done because of the central limit theorem). We will calculate the probability manually. He wont foul out if he picks 0,1,2,3 or 4 fouls, thus

P(X \leq 4) = P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4) \\= 0.95^{48}+48*0.95^{47}*0.05+{48 \choose 2}*0.95^{46}*0.05^2+\\{48 \choose 3}*0.95^{45}*0.05^3+{48 \choose 4}*0.95^{44}*0.05^4 \\= 0.085+0.215+0.266+0.215+0.127 = 0.9093

As a consecuence, he wont foul out with probability 0.9093.

8 0
3 years ago
I NEED HELP PLEASE <br> ACHIEVE QUESTION
Mumz [18]

Answer:

its A

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Solve for x please and thank you
inysia [295]

Answer:

x = 3

Step-by-step explanation:

40+ 46x + 2 = 180 degrees

46x = 180 - 42

x = 3

8 0
2 years ago
Read 2 more answers
Please find the median, mode, range, and the Mean Absolute Deviation for the following
Ronch [10]

Answer:

The median is the first number the mode is middle number and rage is last number

7 0
3 years ago
Choose the graph that solve the following system x-4y=2 3x+2y=6
Elanso [62]
X - 4y = 2.....multiply by -3
3x + 2y = 6
-------------
-3x + 12y = -6 (result of multiplying by -3)
3x + 2y = 6
------------add
14y = 0
y = 0

3x + 2y = 6
3x + 2(0) = 6
3x = 6
x = 6/3
x = 2

solution is (2,0).....so the graph that has the two lines intersecting (crossing) at (2,0) is gonna be ur graph
5 0
3 years ago
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