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4 years ago

(2r^2-2r-40)/(8r+32)

Mathematics

1 answer:

Morgarella [4.7K]4 years ago

5 0

Answer:

(r - 5)

-------

Step-by-step explanation:

(2r^2-2r-40)/(8r+32)

Factor

= 2(r^2 - r - 20) / 8(r + 4)

= (r^2 - r - 20) / 4(r + 4)

= (r + 4)(r - 5) / 4(r + 4)

= (r - 5) / 4

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It has been estimated that 72.7% of alcoholics need professional help to stop drinking. What is the probability that a random al

Svetradugi [14.3K]

The probability that a random alcoholic can kick the habit without professional help is 0.273 .

<h3>What is Probability ?</h3>

Probability is the study of likeliness of an event to happen.

It has a range of 0 to 1 , where 0 indicates uncertainty and 1 indicates certainty.

It is given that

The alcoholics that need professional help to stop drinking is 72.7 %

Therefore the probability of this is 72.7 /100 = 0.727

The probability that they will not need professional help is given by

q = 1 - p

q = 1 -0.727

q = 0.273

Therefore the probability that a random alcoholic can kick the habit without professional help is 0.273 .

To know more about Probability

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5 0

2 years ago

1) Slope =-1, y-intercept = 0

Dima020 [189]

Answer:

1. C 2.D 3.D 4.A

Step-by-step explanation:

The first one would be C because the slope is -1, which can also be -x and the y-intercept is 0, meaning you don't need to add or subtract anything.

The second one is D because the slope is -3, meaning it's -3x, and the y-intercept is positive, meaning you add 5.

The third one is D because the slope is 5/4, which is 5/4x and the y-intercept is positive 3, meaning you add 3.

And the fourth one is A because there is no slope, so y would just equal 3.

6 0

3 years ago

Kenny has a 1/3 probability of getting a hit and a 1/6 probability of drawing a base-on-balls every time he appears at the plate

Aleonysh [2.5K]

Answer:

He expects that his bonus will be $210,000.

Step-by-step explanation:

For each plate appearence, there are only two possible outcomes. Either he gets on base(base hit or bases-on-balls), or he does not. The probability of getting on base on each plate appearence is independent of other plate appearences. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

600 plate appearances this year

So n = 600.

Expected number of hits

$p = \frac{1}{3}$

$E(X) = np = 600\frac{1}{3} = 200$

Expected number of base on balls.

$p = \frac{1}{6}$

$E(X) = np = 600\frac{1}{6} = 100$

Bonus

$1,000 for each hit and $100 for each base-on-balls he gets.

200*1,000 + 100*100 = 210,000

He expects that his bonus will be $210,000.

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3 years ago

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Elodia [21]

Answer:

HUH WHAT DOES THIS MEAN?

Step-by-step explanation:

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2 years ago

Read 2 more answers

A two-factor research study has 2 levels of factor A and 3 levels of factor B with a separate sample of n = 5 subjects in each t

amid [387]

Answer:

option (b) df = 1, 24

Step-by-step explanation:

Data provided in the question:

levels of factor A, a = 2

levels of factor B, b = 3

Subjects in each Sample, s = 5

n = 5 × 3 × 2 = 30

Now

df for Factor A = a - 1

= 2 - 1

= 1

df for Factor B = b - 1

= 3 - 1

= 2

df for Interaction AB = ( a - 1 ) × ( b - 1 )

= 1 × 2

= 2

df for Total = n - 1

= 30 - 1

= 29

df for error = 29 - 5

= 24

Hence,

df values for the F-ratio evaluating the main effect of factor A is 1, 24

The correct answer is option (b) df = 1, 24

6 0

3 years ago

(2r^2-2r-40)/(8r+32)​

(2r^2-2r-40)/(8r+32)