Answer:
(2, 0 )
Step-by-step explanation:
To find the x- intercept let y = 0 in the equation and solve for x, that is
8x - (0) = 16, that is
8x = 16 ( divide both sides by 8 )
x = 2 ← x- intercept ⇒ (2, 0 )
Question:
The n candidates for a job have been ranked 1, 2, 3,..., n. Let x = rank of a randomly selected candidate, so that x has pmf:
(this is called the discrete uniform distribution).
Compute E(X) and V(X) using the shortcut formula.
[Hint: The sum of the first n positive integers is , whereas the sum of their squares is
Answer:
or
Step-by-step explanation:
Given
PMF
Required
Determine the E(x) and Var(x)
E(x) is calculated as:
This gives:
From the hint given:
So:
Var(x) is calculated as:
Calculating:
Using the hint given:
So:
So:
Take LCM
Apply difference of two squares
Answer:
(-6, 1)
Step-by-step explanation:
Since DE to DF is 5:8, we need to add 5/8 of the difference in x- and y-coordinates to the coordinates of point D to find point E.
Difference in x from D to F:
-9 - (-1) = -8
5/8 * (-8) = -5
Difference in y from D to F:
-5 - 11 = -16
5/8 * (-16) = -10
x: -1 - 5 = -6
y: 11 - 10 = 1
Answer: (-6, 1)
Answer:
Step-by-step explanation:
a) - Now, Three taxis can go to Airport A, 5 taxis can go to Airport B and 2 can go to Airport C so there are 10 taxis around. So, there are three groups, as well as the number of possible ways is as follows:
b) - Although there is total 10 taxis, thus, there seems to be a possibility that such a car will be delivered to C airport is .
c) - Therefore, when each of the groups will have precisely one hire car, it is necessary to repair it.
Therefore, the method of assigning 3 repair taxis is 7, so the probability is as follows:
Answer:
60 .
Step-by-step explanation:
Normal pay for 4 hours = 10 * 4 = 40.
Overtime for 4 hours = 40 * 1 1/2
= 60.