The mean time from prescription drop-off to medicine pickup for a customer served at Heisenberg's Pharmacy is 64 minutes, with a
1 answer:
Answer: B. 0.4772
Step-by-step explanation:
Given : The mean time :
Standard deviation :
Let X be the service time of a randomly selected customer.
Assuming a normal distribution, the value of z-score is given by :-
For x = 64
For x = 100
The p-value =
Hence, the probability that a randomly chosen customer experiences service done between 64 and 100 minutes = 0.4772
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Answer:
B
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = -
y = 3x² + 6x + 1 ← is in standard form
with a = 3 and b = 6 , then
= -
= - 1
Substitute x = - 1 into y for corresponding y- coordinate
y = 3(- 1)² + 6(- 1) + 1
= 3(1) - 6 + 1
= 3 - 5
= - 2
vertex = (- 1, - 2 )
Answer: 114.37 ft
Step-by-step explanation:
If we model this situation as a right triangle, where the hypotenuse is the length of the ladder (), the opposite leg is the height the ladder will reach
, and the adjacent leg is the distance between the base of the ladder and the building (
); we have two options:
1) Using trigonometric functions, since we are given the angle
2) Using the Pithagorean Theorem
Any of the options will give a similiar result. So, let's choose the Pithagorean Theorem:
Isolating :
Adding to this height the extra height of (since the base of the ladder is at this distance above the ground, perhaps held by a firefighter truck):
This is the height the ladder will reach