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3 years ago

7

Simplify (4x+9) - (6x-12)

2 answers:

atroni [7]3 years ago

4 0

The answer to this equation is:
10x-3

melomori [17]3 years ago

4 0

Answer:

−2x + 21

Without parenthesis, the answer would be different.

Step-by-step explanation:

1) Distribute the Negative Sign:

4x + 9 + <em>−1</em>(6x−12)

4x + 9 + <em>−1</em>(6x) + (<em>−1</em>)(−12)

4x + 9 + −6x + 12

2) Combine Like Terms:

<u>4x</u> + <u><em>9</em></u> + <u>−6x</u> + <u><em>12 </em></u>

(4x + −6x) + (9 + 12)

−2x + 21

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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

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

So

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

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

So

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

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

A stadium brings in $16.25 million per year. it pays football-related expenses of $13.5 million and stadium expenses of $2.7 mil

Ganezh [65]

We have that

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we know that

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Profit margin = 0.003077 or 0.3077%

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3 years ago

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Fed [463]

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3 years ago

Which proportion can be used to find the arc length, s, in units?

Alinara [238K]

Answer:

Option B

Step-by-step explanation:

Formula to be used to calculate the length of an arc,

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Here, θ = Angle subtended at the center by the arc

r = radius of the circle

By substituting values in the formula,

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3 years ago

Use the general solution to solve 5 – 6x = 8x + 17.

Jlenok [28]

<span> 5 – 6x = 8x + 17
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7 0

3 years ago

Read 2 more answers