Answer:
3x^3-18x^2+26x-8
Step-by-step explanation:
(x-4)(3x^2-6x+2)
3x^3-6x^2+2x-12x^2+24x-8
3x^3-18x^2+26x-8
Answer: 0.0228
Step-by-step explanation:
Given : The mean and the standard deviation of finish times (in minutes) for this event are respectively as :-

If the distribution of finish times is approximately bell-shaped and symmetric, then it must be normally distributed.
Let X be the random variable that represents the finish times for this event.
z score : 

Now, the probability of runners who finish in under 19 minutes by using standard normal distribution table :-

Hence, the approximate proportion of runners who finish in under 19 minutes = 0.0228
We need a least common denominator
19 1/8 and 2 1/4 (also = to 2 2/8)
19 1/8-2 2/8= 16 7/8
16 7/8 divided by 5
ANSWER: 3 3/8 in
Answer:
<u>Frequency = 1/period =
</u>
Step-by-step explanation:
The frequency of the sinusoidal function = 1/period
Frequency is how many the function repeats itself per unit if time i.e: per "1"
For the given graph :
, Where: B = 2π/period
period = 2π/B , B = 1/4 = 0.25
∴ Period = 2π/0.25 = 8π
∴ Frequency = 1/period = 