3 years ago

Factor each Polynomial 3x^2 + 17x + 10

1 answer:

8 0

$3x^2+17x+10\\\\17x=15x+2x\\10=5\cdot2\\\\3x^2+17x+10=3x^2+15x+2x+10\\\\=3x\cdot x+3x\cdot5+2\cdot x+2\cdot5=3x(x+5)+2(x+5)\\\\=\huge\boxed{(x+5)(3x+2)}$

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Suppose the claim size of an auto collision insurance, X, is uniformly distributed on the interval $1,000 to $10,000. What is th

timurjin [86]

Answer:

35.35%

Step-by-step explanation:

If there were no deductibles, the expected claim payment would be:

$E(X) = \frac{10,000 +1,000}{2} \\E(X) =\$5,500$

If the collision insurance claim is under $2,000, then the insurer would not pay anything, but if X > $2,000, then the insurer would pay X - $2,000. The new expected value is:

$E_2(X)=\frac{2,000-1,000}{10,000-1,000} *0+\frac{10,000-2,000}{10,000-1,000}*\frac{(2,000-2,000)+(10,000-2,000)}{2} \\E_2(X)=\frac{8}{9}*\frac{0+8,000}{2}\\ E_2(X)=\$3,555.56$

The percentage reduction on the claim payment is:

$P=(1-\frac{E_2(X)}{E(X)})*100 \\P=(1-\frac{3,555.56}{5,500})*100\\P=35.35\%$

There was a 35.35% reduction.

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3 years ago

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Ostrovityanka [42]

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Kath starts with a number. she adds 3 to her number then double the result. finally, she subtracts 7. if she ended with 9, what

Dimas [21]

The answer is 5. Work backwards: first add 7 to 9, then divide by 2, then subtract 3.

9+7=16
16/2=8
8-3=5

Cross Check:
5+3=8
8*2=16
16-7=9

Final Answer: 5

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Sarah bought a TV for $250. Three years later she sold it for $180. Work out her percentage loss.

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Convert 6 centimeters per second to miles per hour.

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Answer:

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Step-by-step explanation:

To get that, divide the cm/sec by 44.704.

6/44.704 ≈ 0.13

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