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
Answer:
2m
Step-by-step explanation:
2 * 1.5 = 3, the total height
we know that there are three metres total and 1 is half the other, so we divide 3m by 3 = 1m, the height of B,
as A = 2B, A = 2m
Answer:
y = -4x
Step-by-step explanation:
y = mx+c
gradient, m
= (4-0)/(-1-0)
= -4
y-intercept, c
= 0
y = -4x+0
y = -4x
The denominator is 14-x.
Since the denominator cannot be equal to zero, you take the denominator, set it equal to zero, and solve.
This ill give you the value or values that must be eliminated (cannot be in the domain).
14 - x = 0
add x to both sides
14 = x
The domain is x ≠ 14
OR
(- ∞, 14) ∪ (14, ∞)
OR
All real numbers except 14