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timama [110]
3 years ago
10

-2 times f(-6) -7 times g(-7)

Mathematics
1 answer:
Romashka [77]3 years ago
7 0

Answer:

12f+49g

Step-by-step explanation:

simplify each term.

hope this helps

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g At a certain gas station, 30% of all customers use the restroom. What is the probability that, out of the next 10 customers, (
Kruka [31]

Answer:

P(x=4) = 0.200

Step-by-step explanation:

Given

n=10 --- selected customers

x = 4 --- those that are expected to use the restroom

p =30\% = 0.30 --- proportion that uses the restroom

Required

P(x = 4)

The question illustrates binomial probability and the formula is:

P(x) = ^nC_x * p^x * (1 - p)^{n - x}

So, we have:

P(x=4) = ^{10}C_4 * (0.30)^4 * (1 - 0.30)^{10 - 4}

P(x=4) = ^{10}C_4 * (0.30)^4 * (0.70)^6

P(x=4) = 210* (0.30)^4 * (0.70)^6

P(x=4) = 0.200

4 0
3 years ago
What is the solution of the system? Use the elimination method. 2x+y=20 6x?5y=12
Whitepunk [10]

Answer:

(22, - 24)

Step-by-step explanation:

Multiply the first equation by -5 to make the y's so you can add the up to zero.

-5(2x + y = 20)

-10x - 5y = -100  Add the second equation thn solve for x

<u> 6x + 5y = 12  </u>

-4x = -88  

x = 22

Plug 22 in for x in either equation

2x + y = 20

2 (22) + y = 20

44 + y = 20

y = -24

3 0
4 years ago
Read 2 more answers
Mr. Mole left his burrow and started digging his way down at a constant rate.
Art [367]

Mr. Mole's burrow was at an altitude of 6 meters below the ground.

Step-by-step explanation:

Step 1:

We need to determine the distance that Mr. Mole covers in a single minute.

To do that we divide the difference in values of altitude by the difference in the time periods.

For the first case, Mr. Mole had traveled -18 meters in 5 minutes.

We also have, he traveled -25.2 meters in 8 minutes.

Step 2:

The distance he covered in 1 minute = \frac{-25.2-(-18)}{8-5} = \frac{-25.2+18}{3},

\frac{-25.2+18}{3} = \frac{-7.2}{3} = -2.4.

So with every minute, Mr. Mole digs down an additional 2.4 meters below the surface.

To determine where Mr. Mole's burrow is we subtract the distance traveled in 5 minutes from -18.

The altitude of Mr. Mole's burrow = -18 - 5(-2.4) = -18+12 = -6.

So Mr. Mole's burrow was at an altitude of 6 meters below the ground i.e. -6 meters.

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3 years ago
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Translate the phrase to an algebraic expression. State what each variable represents.
mezya [45]
X+ 4? idk I don't really understand the question...
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3 years ago
I NEED ANSWERS FAST PLEASE HELP ME !!!
Scilla [17]

Answer:

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Step-by-step explanation:

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