First, subtract 10h from 15h so the variables are on the same side. You get:
5h+30<-45
Then, you can solve the inequality like any other equation. Subtract 30 from -45:
5h<-75
Finally, divide -75 by 5 to get your answer:
h<-15
Jupiter has a diameter of about 88,695 miles (142,800 kilometers) which is more than 11 times the diameter of Earth. It’s volume is over 1,300 times the volume of Earth. This mean that Jupiter is so big that over 1,300 Earth could fit inside of it.
Answer:
Step-by-step explanation:
M = 2J
M = H + 7
M + J + H = 53
Then combine first two equations and solve in terms of J:
2J = H + 7 --> H = 2J - 7
Substitute for H & M in last equation:
2J + J + 2J - 7 = 53
5J - 7 = 53
5J = 60
J = 12
Then plug J into other equations:
M = 24
J =12
H = 17
8. The mean of the grades (74) is substantially below the median (88), so the distribution is not symmetrical. Of course, half the grades are below the median, just as half are above the median. However, the mean being 88-74 = 14 points below the median means that the lower half of the grades will have an average at least twice that much, or 28 points, below the median. The distribution of grades must extend quite a bit further to the left of the median than it does to the right. Hence ...
B. The distribution is skewed left.
9. It seems likely the distribution has a number of low grades pulling the average down. There certainly exists the possibility that at least one of them qualifies as an outlier by being more than 1.5 times the IQR below the first quartile. That rule, however, only applies when the distribution is relatively symmetrical, which this one is not. There does not appear to be any recommended way to describe an outlier when the distribution is skewed and has a long tail.*
TRUE: The distribution likely has an outlier.
_____
* Math instruction these days rarely recognizes such subtleties. Since it is probable that at least one value is well below the bottom quartile, I've shown my guess at the expected answer as TRUE. In a real set of grades, I expect the tail of the distribution to have enough low grades that they cannot be considered to be outliers.
Answer:
Josh makes $36 more per hour than Greg.
Step-by-step explanation:
First, you need to determine the amount Josh earns per hour as you know that it takes him 5 hours of work to save $480:
5x=480
Now, you can solve for x:
x=480/5
x=96
Then, you need to determine the amount Greg earns per hour as you know that it takes him 8 hours of work to save $480:
8y=480
Now, you can solve for y:
y=480/8
y=60
96-60=36
According to this, the answer is that Josh makes $36 more per hour than Greg.
