Answer:
0.078 or 7.8%
Step-by-step explanation:
Mean salary (μ) = $37,764
Standard deviation (σ) = $5,100
The z-score for any given teacher's salary in California, X, is determined by:
For X = $45,000:
A z-score of 1.419 corresponds to the 92.20th percentile of a normal distribution. Therefore, the probability that a salary is greater than $45,000 is:
The probability is 0.078 or 7.8%.
Answer:
x = -2, y =-2
Step-by-step explanation:
5x - 6y = 2
-5x - 5y = 20
Add the two equations together to eliminate x
5x - 6y = 2
-5x - 5y = 20
------------------------
-11y = 22
Divide by -11
-11y/-11 = 22/-11
y = -2
Now we can find x
5x -6(-2) =2
5x +12 = 2
Subtract 12 from each side
5x +12-12 =2-12
5x = -10
Divide by 5
5x/5 = -10/5
x = -2
I believe u can put 5 books on there
Composite numbers are numbers that aren't prime. Prime numbers are numbers that have only 2 factors; 1 and itself. Composite numbers have more than 2 factors (2+ pairs).
13 = 1 • 13. 13 is prime, not composite.
39 = 1 • 39, 3 • 13. 39 is composite.
Although we've found our composite number, let's keep searching (just in case).
PENDING NUMBERS: 39.
91 = 1 • 91, 7 • 13. 91 is a composite number.
139 = 1 • 139. 139 is prime.
Your two composite numbers are 39 & 91.
I hope this helps!
Answer:
Step-by-step explanation:
We need a series of equations to be able to sub back and forth into one another in order to get this down to one variable, s for spectators. This is what we know from the info (in algebraic expression/equation form):
.6s = men (60% of the spectators are men)
.4s = women + children (40% of the spectators are women and children)
# of children = 2/3 women
# of men = women + 252 (There are 252 more men than women) and
# women = men - 252
Those are the equations we need to solve for the number of spectators.
Start at the top with
.6s = men. We know that the number of men = women + 252, so
.6s = women + 252.
.4s = women + children. We know that the number of children is 2/3 the number of women, so
.4s = women + 2/3 women. If the number of men = women + 252, then
.4s = men - 252 + 2/3(men - 252) which simplifies to
.4s = 3/3 men - 252 + 2/3 men - 168 and
.4s = 5/3 men - 420 and
.4s = s - 420 and
-.6s = -420 so
s = 700