According to the national highway traffic and safety administration’s national center for statistics and analysis, "speeding is one of the most prevalent factors contributing to fatal traffic crashes". the probability that speeding is a cause of a fatal crash is .3. furthermore, the probability that speeding and missing a curve are causes of a fatal crash is .12.
a. given that speeding is a cause of a fatal crash, what is the probability that the crash occurred on a curve?

0.40

Step-by-step explanation:

Let

A=Cause of fatal crash is speeding

B=Missing a curve

A and B=(A∩B)= Speeding and missing a curve both are cause of fatal crash

P(A)=0.3

P(A and B)=P(A∩B)=0.12

P(B/A)=0.40

The probability that the crash occurred on a curve is 0.40 or 40%

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

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