-3 • (5x + 2y = 7)
-15x - 6y = -21
-2x + 6y = 9
__________
-17x = -12
x = 12/17
5(12/17) + 2y = 7
2y = 7 - 60/17
2y = 3.47
y = 1.735
ANSWER : Rozalie spent 6.73 hours at the garage
rate of change = $2.75
base fee = $7.50
set up your equation:
2.75h + 7.5 = 26
($2.75/hour plus the base fee of $7.50 equals the total amount spent, $26)
Now just solve for h
2.75h + 7.5 = 26
2.75h = 18.5
h = 6.727273 (rounded)
h = 6.73
So the answer would be Rozalie spent about 6.73 hours at the garage.
The slope intercept form of that equation would be y = 1/2x + 1. 1 would be the y-intercept, and 1/2 would be the slope. If you are looking for the answers to y and x, you would need another equation containing those variables to figure that out.
Answer:
A) 99.7% of people have an IQ between 64 and 136.
B) 5% of people have an IQ score less than 76 or greater than 124.
C) 16% of people have an IQ score greater than 112.
Step-by-step explanation:
The Empirical Rule tells us that, in a normal or 'bell-shaped' distribution, 68% of the data is one standard deviation from the mean, 95% of the data is two standard deviations from the mean, and 99.7% of the data is three standard deviations from the mean.
A) 64 and 136 are 3 standard deviations away from the mean, so 99.7% of people have an IQ between 64 and 136.
B) 76 and 124 are 2 standard devations away from the mean, but the answer is asking what percentage is not between them. 100% - 95% gives us 5%.
C) 112 is one standard deviation away from the mean. If we want to find the percentage greater, then we can do 100% - 50% (as 112 is to the left of the mean), then we can take half of 68 to get 34%, and after subtracting 50% and 34% from the 100%, we get 16%.
