Answer:
0.025
Step-by-step explanation:
Given that the arrival time of a professor to her office is uniformly distributed in the interval between 8 and 9 A.M.
If the professor did not arrive till 8.20 he will arrive between 8.21 and 8.40
Hence probability for arriving after 8.20 is 1/40
Prob he arrives at exactly 8.21 is 1/60
To find the probability that professor will arrive in the next minute given that she has not arrived by 8: 20.
= Prob that the professor arrives at 8.21/Prob he has not arrived by 8.20
This is conditional probability and hence
= 
The equation of the line that passes through the points (2,1) and (5,-8) is
y = -3x + 7
Answer:
c) 1/3
Step-by-step explanation:
since there are 6 sides to the dice and 2 options could be chosen= 2/6 and that simplified is 1/3
The axis of symmetry is at x = -3.
This can be found by looking at the basic form of vertex form:
y = (x - h)^2 + k
In this basic form the vertex is (h, k). By looking at what is plugged into the equation, it is clear that h = -3 and k = -4. This means the vertex is at (-3, -4).
It is a fact that the axis of symmetry is a vertical line of x = (vertex value of x). So we can determine that the axis of symmetry is at x = -3
Answer: 11 servings
Step-by-step explanation:
To get the number of servings, all we need to do is divide 8 1/4 by 3/4
converting 8 1/4 to improper fraction will yield 33/4
8 1/4 ÷ 3/4
=33/4 ÷ 3/4
= 33/4 ÷ 4/3
The 4 at the numerator will cancel the 4 at the denominator. we will be left with;
=33/3 =11
Therefore, there will be 11 servings.