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aleksandrvk [35]
3 years ago
15

Find the value for m for which ( x + 2 ) is a factor of p ( x ) = x cube + 2x + 3m​

Mathematics
1 answer:
slega [8]3 years ago
7 0

Answer:

x+2=0

x=-2

  1. p(-2)=-2in force 3 +2(-2)+3m=0
  2. -8-4+3m=0
  3. -12+3m=0
  4. 3m=12
  5. m=4
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If A and B are independent events with P(A) = .5 and P(B) = .2, find the following:a) P(A U B)b) P(A^c ? B^c)c) P(A^c U B^c)**No
Effectus [21]

If A and B are independent, then P(A\cap B)=P(A)P(B).

a.

P(A\cup B)=P(A)+P(B)-P(A\cap B)=P(A)+P(B)-P(A)P(B)

P(A\cup B)=0.5+0.2-0.5\cdot0.2

\boxed{P(A\cup B)=0.6}

b. I'm guessing the ? is supposed to stand for intersection. We can use DeMorgan's law for complements here:

P(A^c\cap B^c)=P(A\cup B)^c=1-P(A\cup B)

P(A^c\cap B^c)=1-0.6

\boxed{P(A^c\cap B^c)=0.4}

c. DeMorgan's law can be used here too:

P(A^c\cup B^c)=P(A\cap B)^c=1-P(A\cap B)=1-P(A)P(B)

P(A^c\cup B^c)=1-0.5\cdot0.2

\boxed{P(A^c\cup B^c)=0.9}

4 0
2 years ago
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sammy [17]

Answer:

3

Step-by-step explanation:

I can see it in the demonstration graph

8 0
3 years ago
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Find the perimeter of the shape shown below.
sukhopar [10]

perimeter = turn of the figure

P = 6 + 3 + 4 + 4 + 3 + 6 + 3 + 4 + 3 = 36

the triangle has 2 équal sides => isosceles

and 1 angle is 60° so the triangle is equilateral

 

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1 year ago
Identify the type of correlation you would expect to see between the pair of data sets. Explain.
Ksivusya [100]

i cant see anything but dashes..

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2 years ago
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PLS HELP ME & EXPLAIN ANSWER <3
defon

Answer:

  e.  10√30

Step-by-step explanation:

In this right triangle geometry, all of the right triangles are similar. This means that the ratio of long side to hypotenuse is the same for all triangles:

  x/(10+50) = 50/x

Multiplying by 60x, we have ...

  x^2 = 3000

  x = 10√30 . . . . . take the square root. Matches choice E.

_____

<em>Comment on estimating</em>

You're looking for x. Examining the figure, you see that x is the long side of the triangle with hypotenuse 10+50=60, so it will be shorter than that value. x is also the hypotenuse of the triangle with long side 50. So, x will be longer than 50.

The only answer choice with a value between 50 and 60 is choice E.

You don't even need to know how to find x. You only need to know that the hypotenuse is the longest side in a right triangle.

5 0
3 years ago
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