When looking for 4/8's of something it is much easier if you first simplify the fraction, so for 4/8 you would start by dividing both the denominator and the numerator by 4, 4/4= 1. 8/4= 2. Now you have changed the fraction to its simplest form, 1/2. So if 1/2 of something 144, you simply times 144 by 2 to get 288.
Answer:
Probability that a randomly selected individual who was unemployed in 2000 would have been unemployed between 12 and 13 weeks is 0.83144 .
Step-by-step explanation:
We are given that according to the Bureau of Labor Statistics, in calendar year 2000, the average duration of unemployment was 12.7 weeks, with a standard deviation of 0.3 weeks.
Let X = randomly selected individual who was unemployed in 2000
Since distribution is approximately normal, so X ~ N(
)
The z score probability distribution is given by;
Z = 
~ N(0,1)
where, 
= population mean = 12.7 weeks
= population standard deviation = 0.3 weeks
So, the probability that a randomly selected individual who was unemployed in 2000 would have been unemployed between 12 and 13 weeks is given by = P(12 < X < 13) = P(X < 13) - P(X <= 12)
P(X < 13) = P( < 
) = P(Z < 1) = 0.84134
P(X <= 12) = P( < 
) = P(Z < -2.33) = 1 - P(Z <= 2.33) = 1 - 0.99010
= 0.0099
Therefore, P(12 < X < 13) = 0.84134 - 0.0099 = 0.83144 .
9514 1404 393
Answer:
1e. 2t² +8t -6
2h. a² +2ab -3b²
3b. 8r +4
4b. 6x +4y -11
5b. e -3
Step-by-step explanation:
1e. Combine like terms.
(3t² +3t -6) +(-t² +5t) = t²(3 -1) +t(3 +5) -6
= 2t² +8t -6
__
2h. (2a² +3ab -4b²) -(a² +ab -b²)
Use the distributive property to eliminate parentheses. Note that all signs change in the second set of parentheses.
= 2a² +3ab -4b² -a² -ab +b² = a²(2 -1) +ab(3 -1) +b²(-4+1)
= a² +2ab -3b²
__
3b. The hash marks indicate sides of the same length. The perimeter is the sum of all side lengths.
P = (4r -2) +2(2r +3)
P = 4r -2 +4r +6 . . . . . . eliminate parentheses
P = 8r +4 . . . . . . . . . . . . combine like terms
__
4b. (3x +4y) +(5x -8) -(2x +3)
Note that the distributive property changes the sign of all terms in the last parentheses.
= 3x +4y +5x -8 -2x -3 . . . . eliminate parentheses
= x(3+5-2) +y(4) +(-8-3) . . . group like terms
= 6x +4y -11
__
5b.
Bill's age - Erin's age = (2e-3) -(e) = e -3
The difference in their ages is (e -3).
Average of 93
4 scores
(95+92+89+x)/4<u>></u>93
times 4 both sides
276+x<u>></u>372
minus 276 both sides
x<u>></u>96
A
The payment would be $198.01 and the total interest would be $1,880.75. Pretty straightforward with a financial calc. I can show you the keystrokes if you want, just message.
