(# of five dollar bills=f ; # of ten dollar bills=t)
3t-1=f ⇒ this means that if there were 1 $5 bills, there would be 2 $10 bills.
So the ratio of $5 bills to $10 bills is 1 to 2.
We can plug that into another equation:
f+t=410 ⇒ I havent actually learned this in school yet so I just made a chart: $10 ║ $5
------║------
2 ║ 1 = $25
4 ║ 2 = $50
6 ║ 3 = $75
8 ║ 4 = $100
10 ║ 5 = $125
and so on...
you probably found the pattern already, so you can conclude that [cathy deposited 16 five dollar bills and 33 ten dollar bills]
Also, you should probably check if there are any mistakes when going through this since I took almost an hour writing this.
Answer:
The overall probability of type II diabetes among 40- to 59-year-olds in Houston is 9.3%.
Step-by-step explanation:
We have these following rates of type II diabetes:
7% among Caucasians
10% among African-Americans
12% among Hispanics
5% among Asian-Americans.
The ethnic distribution of Houston is:
30% Caucasian
25% African-American
40% Hispanic
5% Asian-American
What is the overall probability of type II diabetes among 40- to 59-year-olds in Houston?
is the probability of finding a Caucasian with type II diabetes in Houston. So it is 7% of 30%.
is the probability of finding an African-American with type II diabetes in Houston. So it is 10% of 25%.
is the probability of finding a Hispanic with type II diabetes in Houston. So it is 12% of 40%.
is the probability of finding an Asian-American with type II diabetes in Houston. So it is 5% of 5%.
The overall probability of type II diabetes among 40- to 59-year-olds in Houston is 9.3%.
Two perpendicular lines have slopes that are negative reciprocals of each other, that is, if one slope is a/b, the other is -b/a
the first line 5x+2y=20, 2y=-5x +20, y=-5/2 x+10, the slope is -5/2, so the perpendicular line's slope is 2/5
the equation in point-slope form is (y-2)=(2/5)(x-5)
in slope-intercept form: y=(2/5)x
in standard form: 2x-5y=0
Answer:
300
Step-by-step explanation:
Just because it makes sense.
