Multiply by the conjugate and simplify
3/17 - 5i/17
Hope this helps! :)
Answer:
d=1
Step-by-step explanation:
Lets factor the denominator d^2 -2d-8
d^2 - 2d - 8 = (d-4)(d+2)
Now make the denominators same
LCD: (d-4)(d+2)
Denominators are same on both sides
So equate the numerators
-3d +3(d+2) = -2(d-4)
-3d +3d +6 = -2d +8
6 = -2d + 8
subtract 8 on both sides
-2 = -2d
So d=1
Answer:
So, the odds that a taxpayer would be audited 28 to 972 or 2.88%
Step-by-step explanation:
Given
Let P(A) = Probability of irs auditing
P(A) = 2.8%
Let n = number of those who earn above 100,000
To get the odds that taxpayer would be audited, we need to first calculated the proportion of those that will be audited and those that won't.
If the probability is 2.8% then 2.8 out of 100 will be audited. That doesn't make a lot of sense since you can't have 2.8 people; we multiply the by 10/10
i.e.
Proportion, P = 2.8/100 * 10/10
P = 28/1000
The proportion of those that would not be audited is calculated as follows;
Q = 1000 - P
By substituton
Q = 1000 - 28
Q = 972
So, the odds that a taxpayer would be audited 28 to 972 or P/Q
P/Q = 28/972
= 0.0288065844
= 2.88% --- Approximately
Answer:
The maximum number of volleyballs that she can buy is 19
Step-by-step explanation:
Let
x ----> the number of volleyballs
we know that
The cost of each volleyball net ($28) by the number of volleyball nets (4) plus the cost of each volleyball ($7) multiplied by the number of volleyballs (x) must be less than or equal to $250
so
The inequality that represent this situation is
Solve for x
subtract 112 both sides
Divide by 7 both sides
therefore
The maximum number of volleyballs that she can buy is 19
Answer:
25π
Step-by-step explanation:
1) for whole circuit: A=π*r², where r - radius of the given circle;
2) for a quater of the circuit: A=πr²/4;
3) finally, A=π*100/4=25π.
