Answer: the gun was held 4ft high i.e H = 4ft
Step-by-step explanation:
To determine how high the gun was held when it was fired H;
Before firing the t-shirt up, the gun and the t-shirt are both at the same height.
Therefore,
H = h(0) i.e h(t) at t = 0
h(t) = -16t^2 + 64t + 4
H = h(0) = -16(0)^2 + 64(0) + 4
H = 4ft
Answer:

Step-by-step explanation:
Let
x------> the cost of each ticket
we know that
----> inequality that represent the situation
solve for x
Divide by 3 both sides


7.5442 this means that there is two variables in between
Answer:
26.11% of the test scores during the past year exceeded 83.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
It is known that for all tests administered last year, the distribution of scores was approximately normal with mean 78 and standard deviation 7.8. This means that
.
Approximately what percentatge of the test scores during the past year exceeded 83?
This is 1 subtracted by the pvalue of Z when
. So:



has a pvalue of 0.7389.
This means that 1-0.7389 = 0.2611 = 26.11% of the test scores during the past year exceeded 83.