Answer:
The two roots of the quadratic equation are
Step-by-step explanation:
Original quadratic equation is
Divide both sides by 9:
Add to both sides to get rid of the constant on the LHS
==>
Add to both sides
This simplifies to
Noting that (a + b)² = a² + 2ab + b²
If we set a = x and b = we can see that
=
So
Taking square roots on both sides
So the two roots or solutions of the equation are
and
So the two roots are
and
The probability that the next on-the-job injury will occur within 10, 5, and 1 day are 0.632, 0.393, and 0.095
<h3>What is probability?</h3>It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We know the exponential distribution is given by;
The probability that the next on-the-job injury will occur within 10 days:
P(X< 10) = 0.632
The probability that the next on-the-job injury will occur within 20 days:
P(X< 5) = 0.393
The probability that the next on-the-job injury will occur within 1 days:
P(X< 1) = 0.095
Thus, the probability that the next on-the-job injury will occur within 10, 5, and 1 day are 0.632, 0.393, and 0.095
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