Answer:
The answer is
Step-by-step explanation:
Given: f(x) = 3 + 2x - x²
To compute f(3 + h) substitute x = 3 + h.
Similarly, to compute f(h) simply substitute x = h.
We are asked to compute 
f(3 + h) = 3 + 2(3 + h) - {(3 + h)²}
= 3 + 6 + 2h - {9 + 6h + h²}
= 9 + 2h - 9 - 6h - h²
= - 4h - h²
Now, f(h) = 3 + 2h - h²
f(3 + h) - f(h) = -4h - h² - 3 - 2h + h²
= -6h - 3
which is the required answer.
Answer: the probability that the tires will fail within three years of the date of purchase is 0.12
Step-by-step explanation:
The average lifetime of a set of tires is 3.4 years. It means that μ = 3.4
Decay parameter, m = 1/3.4 = 0.294
The probability density function is
f(x) = me^-mx
Where x is a continuous random variable representing the time interval of interest(the reliability period that we are testing)
Since x = 3 years,
Therefore, the probability that the tires will fail within three years of the date of purchase is
f(3) = 0.294e^-(0.294 × 3)
f(3) = 0.294e^- 0.882
f(3) = 0.12
Answer:
x ≤ 2
Step-by-step explanation:
-6x - 7 ≥ -19
Add 7 to both sides: -6x ≥ -12
Divide both sides by 6: -x ≥ -2
Divide both sides by -1: x ≤ 2
When you divide by a negative, you have to switch the sign around (hence why I chose to do this in separate steps, so it's clearer)
Answer:
sin90 =1
cos 90 = 0
Step-by-step explanation:
θ = 90 degrees
