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Bas_tet [7]
3 years ago
7

Simplify 12(x-4)+4(x+7)

Mathematics
2 answers:
My name is Ann [436]3 years ago
5 0

Expand

12x - 48 + 4x + 28

Collect like terms

(12x + 4x) + (-48 + 28)

Simplify

<u>16x - 20</u>

Elenna [48]3 years ago
5 0

Answer:

16x - 20

Step-by-step explanation:

12(x-4)+4(x+7)

Applying the distributive law to both parentheses:-

= 12x - 48 + 4x + 28

= 16x - 20  

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The amount of time it takes Isabella to wait for the bus is continuous and uniformly distributed between 3 minutes and 15 minute
madam [21]

Answer:

33.33% probability that it takes Isabella more than 11 minutes to wait for the bus

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

For this problem, we have that:

Uniformly distributed between 3 minutes and 15 minutes:

So a = 3, b = 15

What is the probability that it takes Isabella more than 11 minutes to wait for the bus?

Either she has to wait 11 or less minutes for the bus, or she has to wait more than 11 minutes. The sum of these probabilities is 1. So

P(X \leq 11) + P(X > 11) = 1

We want P(X > 11). So

P(X > 11) = 1 - P(X \leq 11) = 1 - \frac{11 - 3}{15 - 3} = 0.3333

33.33% probability that it takes Isabella more than 11 minutes to wait for the bus

4 0
3 years ago
Total profit P is defined as total revenue R -= total cost​ C, and is given by the function Upper P left parenthesis x right par
Goshia [24]

Answer:

Step-by-step explanation:

P(x) = R(x) - C(x)

Where,

P(x) = Total profit

R(x) = Total revenue

C(x) = Total cost

R(x)equals150.97 x minus 0.3 x squared

R(x) = 150.97x - 0.3x^2

Upper C left parenthesis x right parenthesis equals 4529.10 plus 0.5 x squared.

C(x) = 4529.10 + 0.5x^2

P(x) = R(x) - C(x)

= (150.97x - 0.3x^2) - ( 4529.10 + 0.5x^2)

= 150.97x - 0.3x^2 - 4529.10 - 0.5x^2

= 150.97x - 0.8x^2 - 4529.10

P(x) = -0.8x^2 + 150.97x - 4529.10

4 0
3 years ago
Which expression is equivalent to the square root of 120x
iren [92.7K]
(120x)^1/2 see attached photo for steps

5 0
3 years ago
The coastline of the US is 12,383 miles long. Canada's coastline is 113,211 miles longer than the coastline of the US. How long
Vanyuwa [196]
I'm assuming this is just a simple addition problem so 12,383 miles plus 113,211 miles is equal to 125 594 miles
8 0
3 years ago
Please help I’ll mark brainliest as long as you tell me how you got that answer, also I apologize if it’s kinda blurry. I hope y
kolezko [41]

Answer:

B.

Step-by-step explanation:

Not another one! ;)

A can be eliminated because the numbers don‘t match. B seems like a possible answer, let’s first check the others out. C and D can be slim instead because the variable, g, should be next to the 1.5 and 2.5. C and D both change the variable location. So, B.

4 0
2 years ago
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