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KengaRu [80]
2 years ago
12

Given f(x) = x ^ 2 - (3x + 8) Find f(1)

Mathematics
1 answer:
alexira [117]2 years ago
3 0

Answer:this problem requires one to plug in the value given to the equation given. to find f(-1) the x in one side of the equation is replaced by a -1 therefore the x in the other side of the equation must also be replaced by (-1) so the answer is -3(-1) -8 = f(-1) = -5. -5 is the correct answer.

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Find the probability of exactly three successes in six trials of a binomial experiment in which the the probability of is 50%.
Lyrx [107]

Start by doing the binomial expansion of (x+y)^6 where x represents success. This is

(x^6y^0) + 6(x^5y^1) +15(x^4y^2) +20(x^3y^3) +15(x^2y^4) +6(x^1y^5) +(x^0y^6)

We are interested in the x^3y^3 term which represents exactly 3 sucesses. Since the probalbility of sucess and failure are both .5 we should be able to figure this out just using the coefficients of the terms which is

20/64 = .3125 which is 31.25%

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3 years ago
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20pts off = 10
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timurjin [86]

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7

Step-by-step explanation:

\sqrt{ \frac{98}{2} }  =  \sqrt{49 }  = 7

I hope it helped you

8 0
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zaharov [31]

Answer:

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6 0
2 years ago
Read 2 more answers
Find the volume of this cylinder. Please help
algol13

Answer:

\boxed {\boxed {\sf 384 \ ft^3}}

Step-by-step explanation:

The volume is the space an object occupies. The volume formula for a cylinder is provided and it is:

V= \pi r^2 h

Where:

  • r= radius
  • h= height

The radius is the distance from the center of the circle to the edge, and it is 4 feet. The height is 8 feet. We are told to use 3 for pi.

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  • h= 8 ft
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Substitute the values into the formula.

V= (3)(4 \ ft)^2 (8 \ ft)

Solve the exponent.

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V= (3)(16 \ ft^2)(8 \ ft)

Multiply the three numbers together.

V= 48 \ ft^2 (8 \ ft)

V= 384 \ ft^3

The volume of the cylinder is approximately <u>384 cubic feet.</u>

8 0
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