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CaHeK987 [17]
3 years ago
11

Use the quadratic formula to find the solutions to the quadratic equation below. Check all that apply. 5x2-X-4 = 0 A. -4/5 B. 5/

4C. 2/3 D. 1 E. -1 F.3/2​
Mathematics
1 answer:
Alenkasestr [34]3 years ago
6 0

Hi

5x²-x-4 = 0  

Δ= (-1)² - 4*5*(-4)

Δ =  1 -4*-20

Δ = 1  +80

Δ = 81  

√Δ=  9

as Δ ≥ 0 , so 2 solutions exist in R

S1 is :    ( 1+9) /2*5  =   10/10 = 1

s2 =      (1 -9)/2*5 =  -8/10 = -4*2 /2*5  = -4/5

Corrects answers are  A  and  D

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Answer:

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Step-by-step explanation:

Denote the events as follows:

<em>X</em> = a person lives in a mobile home.

<em>Y</em> = a person dies as a result of tornado.

Given:

P(X)=0.10\\P(Y|X) = 0.30\\P(Y|X^{c})=0.02\\

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P(Y)=P(Y|X)P(X)+P(Y|X^{c})P(X^{c})\\=(0.30\times0.10)+(0.02\times(1-0.10))\\=0.03+0.018\\=0.048

Then the probability that a person does not dies as a result of tornado is:

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Compute the value of P(X^{c}|Y^{c}) as follows:

P(X^{c}|Y^{c})=\frac{P(Y^{c}|X^{c})P(X^{c})}{P(Y^{c})}=\frac{0.98\times(1-0.10)}{0.952}=0.9265

Thus, the probability a person will not live in a mobile home if they do not die as a result of the tornado is 0.9265.

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