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OlgaM077 [116]
3 years ago
9

Use the probability model above to determine the successful outcome’s contribution to the expected value of the return.

Mathematics
1 answer:
Keith_Richards [23]3 years ago
8 0

Answer: Hence, Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Probability of successful outcome = 0.7

Probability of unsuccessful outcome = 0.3

Amount he get for successful outcome = $900

Amount he lost for unsuccessful outcome = -$1800

We need to find the expected value of return when there is successful outcome:

P(Success)× Amount for successful

0.7\times \$900\\\\=\$630

Hence, Option 'D' is correct.

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Use differentials to approximate the change in the volume of a cube when the side is decreased from 8 to 7.99 cm. (in cm3)
Firlakuza [10]

Answer:

  -1.92 cm³

Step-by-step explanation:

The formula for the volume of a cube in terms of side length is ...

   V = s³

Then the first-order approximation of volume for a small change ∆s in side length is ...

  V(s +∆s) ≈ V(s) + V'(s)·∆s

and the change in volume is ...

  ∆V ≈ V(s +∆s) -V(s) = V'(s)·∆s

The derivative V'(s) is ...

  V'(s) = 3s²

so the change in volume for s = 8 cm and ∆s = -0.01 cm is ...

  ∆V ≈ 3s²·∆s = 3(8 cm)²(-0.01 cm) = -1.92 cm³

 

4 0
3 years ago
What is the value of x in the equation ?2.5(6x-4)=10 4(1.5 0.5x)
MA_775_DIABLO [31]
<span>2.5<span>(<span><span>6x</span>−4</span>)</span></span>=<span><span><span><span><span>(10)</span><span>(4)</span></span><span>(1.5)</span></span><span>(0.5)</span></span><span>x

</span></span><span><span><span><span>(2.5)</span><span>(<span>6x</span>)</span></span>+<span><span>(2.5)</span><span>(<span>−4</span>)</span></span></span>=<span><span><span><span><span>(10)</span><span>(4)</span></span><span>(1.5)</span></span><span>(0.5)</span></span>x</span></span>(Distribute)<span><span><span><span>15x</span>+</span>−10</span>=<span>30x
</span></span><span><span><span>15x</span>−10</span>=<span>30<span>x


</span></span></span><span><span><span><span>15x</span>−10</span>−<span>30x</span></span>=<span><span>30x</span>−<span>30x</span></span></span><span><span><span>−<span>15x</span></span>−10</span>=<span>0

</span></span><span><span><span><span>−<span>15x</span></span>−10</span>+10</span>=<span>0+10</span></span><span><span>−<span>15x</span></span>=<span>10
</span></span><span><span><span>−<span>15x</span></span><span>−15</span></span>=<span>10<span>−15</span></span></span><span>x=<span><span>−2</span><span>3
</span></span></span>Answer:<span>x=<span><span>−2</span><span>3</span></span></span>

<span>

</span><span>


</span>
3 0
3 years ago
G(x)=x^4-32x^2+256;x=-4
Sindrei [870]

Answer:4

Step-by-step explanation:

6 0
3 years ago
Billy has 95 stickers. He shares 4 with<br> Harry. How many stickers will Billy have?
Leni [432]

Answer: 91

Step-by-step explanation:

95 - 4 (That he gave to Harry) = 91

Hope this helped!

7 0
3 years ago
Read 2 more answers
Multiply (x + 3)(x – 3).
lyudmila [28]
B would be correct the -3 x and 3 x cancel out
7 0
3 years ago
Read 2 more answers
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