Answer:
-7a^3+63a^2-7a
Step-by-step explanation:
Answer:
4.8%
Step-by-step explanation:
62800.00-4000.00(married allowance)=58800.00
58800/2822.40=.048
move decimal point to convert to percent
4.8%
Answer:
X 1 2 3 4 5 6
P(X) 0.115 a 0.422 0.312 0.034 0.015
If we want a probability distribution we need to satisfy two important conditions:
1)
2)
And using the second condition we have this:
With a the probability associated with the value of X=2 and solving for a we got:
So then for this case
Step-by-step explanation:
Let X the random variable that represent the number of classes that a student takes
For this case we have the following probability distribution given:
X 1 2 3 4 5 6
P(X) 0.115 a 0.422 0.312 0.034 0.015
If we want a probability distribution we need to satisfy two important conditions:
1)
2)
And using the second condition we have this:
With a the probability associated with the value of X=2 and solving for a we got:
So then for this case
Answer:
$10
Step-by-step explanation:
Let a = the amount Angela has saved.
Let e = the amount Eli has saved.
"Eli has saved $8 more than 1/3 of Angela's savings."
e = a/3 + 8
"If they each save $10 more." then
Eli will have: e + 10
Angela will have a + 10
"Eli will have saved $4 more than Angela's savings."
e + 10 = a + 10 + 4
This equation simplifies to: e = a + 4
We have a system of two equations in two variables.
e = a/3 + 8
e = a + 4
Since both equations are solved for e, we just equate the right sides.
a/3 + 8 = a + 4
Subtract a/3 from both sides. Subtract 4 from both sides.
a/3 - a/3 + 8 - 4 = a - a/3 + 4 - 4
4 = (2/3)a
Multiply both sides by 3/2
(3/2)4 = (3/2)(2/3)a
6 = a
a = 6
Angela has $6.
e = a + 4 = 6 + 4 = 10
Eli has $10.
Original points are:
x = (3, -1); y = (4,-4); z = (1,-2).
A reflection across the line y = 1 (a line parallel to the y-axis) will keep the same x-coordinates and will move the y-coordinate upward as many units above the line y = 1 as units are from the line y = 1 to the y-coordinate of the original point.
Distance of (3,-1) to the line y = 1 is 1 - (-1) = 2 => new y-coordinate = 1 + 2 = 3.
<span>So, the answer is that the ordered pair ox x' is (3,3)</span>