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True [87]
3 years ago
6

Find the solution(s) to x^2- 14x + 49 = 0.

Mathematics
1 answer:
malfutka [58]3 years ago
3 0

Answer:

\boxed{C. \: x = 7 \: only}

Step-by-step explanation:

=  >  {x}^{2}  - 14x + 49 = 0 \\  \\  =  >  {x}^{2} - (7 + 7)x + 49 = 0 \\  \\  =  >  {x}^{2}  - 7x - 7x + 49 = 0 \\  \\  =  > x(x - 7) - 7(x - 7) = 0 \\  \\  =  > (x - 7)(x - 7) = 0 \\  \\  =  >  {(x - 7)}^{2}  = 0 \\  \\  =  > x - 7 = 0 \\  \\  =  > x = 7

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3 years ago
There is a 0.9986 probability that a randomly selected 33​-year-old male lives through the year. A life insurance company charge
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Answer:

Expected Value = -$42 (loss of 42 dollars)

Step-by-step explanation:

Complete Question Below:

<em>"There is a 0.9986 probability that a randomly selected 33​-year-old male lives through the year. A life insurance company charges ​$182 for insuring that the male will live through the year. If the male does not survive the​ year, the policy pays out ​$110 comma 000 as a death benefit. If a 33-year-old male purchases the policy, what is his expected value?"</em>

<em />

We can say P(survival) = 0.9986 and thus P(not survival) = 1 - P(survival) = 1-0.9986 = 0.0014

Also,

In case 33 year old doesn't live, the payment would be 100,000 - 182 = $99,818

And

In case 33 year old lives, the payment is

-$182

We know, the <em>expected value is the sum of the product of each possibility with its probability.</em>

ExpectedValue=\Sigma x*p(x)=(99818)(0.0014)+(-182)(0.9986)=-42

This means a loss of $42 (or -$42)

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