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Blababa [14]
3 years ago
13

What is the remainder when x^3 – 1 is divided by (x + 2)?

Mathematics
1 answer:
arlik [135]3 years ago
6 0

We can just use the remainder theorem here.

Plug the value of -2 into each x variable.

(-2)^3 - 1

-9

<h3>The remainder is -9.</h3>
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3 x (7 + ?) = 21+ 6​
zvonat [6]

Answer:

2

Step-by-step explanation:

21+6=27

3x9=27

4 0
3 years ago
In a lottery game a player wins $1,000,000 with probability 0.0000005, wins $200,000 with probability0.000002, and wins $30,000
MariettaO [177]

Answer:

X_1 = 1000000 , P(X_1)= 0.0000005

X_2 = 200000 , P(X_2)= 0.000002

X_3 = 30000 , P(X_3)= 0.00001

X_4 = -2, P(X_4) = 1-0.0000005-0.000002-0.00001= 0.9999875

And then replacing we have this for the expected value:

E(X) = 1000000*0.0000005 +200000*0.000002+30000*0.00001 2*0.9999875

And after do the math we got:

E(X) = -0.79998

And then the expected value for this game is -0.79998 a negative result means NOT a win.

Step-by-step explanation:

For this case we can define the random variable X as the amount that we can win. We can find the expected value with the following formula:

E(X) = \sum_{i=1}^n X_i P(X_i)

And we have the following probabilities and possible values given:

X_1 = 1000000 , P(X_1)= 0.0000005

X_2 = 200000 , P(X_2)= 0.000002

X_3 = 30000 , P(X_3)= 0.00001

X_4 = -2, P(X_4) = 1-0.0000005-0.000002-0.00001= 0.9999875

And then replacing we have this for the expected value:

E(X) = 1000000*0.0000005 +200000*0.000002+30000*0.00001 2*0.9999875

And after do the math we got:

E(X) = -0.79998

And then the expected value for this game is -0.79998 a negative result means NOT a win.

7 0
3 years ago
The lowest point on the Earth's surface is in the Mariana Trench in the
OLga [1]

Answer:

3.6069 × 104

Step-by-step explanation:

5 0
3 years ago
The length of a rectangle is given by L=3y + 4x while the width is
Wittaler [7]

Answer:

21y² +34 yx + 8x²

Step-by-step explanation:

Area of a rectangle is given by L×W where L is length, and W is width

Given L=3y+4x

          W=7y+2x

Area= (3y+4x) × (7y+2x)

          3y(7y+2x) + 4x(7y+2x)

           21y² + 6yx +28yx+8x²

            21y² +34 yx + 8x²

3 0
3 years ago
A.none<br> B.vertical<br> C.Adjacent<br> D.Complementary <br> E.Obtuse
otez555 [7]
C hope that helps have a good one and stay 28 - 6973
5 0
3 years ago
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