If two variables are in direct proportion, then as one increases, the other increases, and as one decreases, the other decreases. An example: If you're working, the amount of money you make (variable y) is in direct proportion to how many hours you work (variable x). The more hours you work, the more money you make, and vice versa. You can put these into the equation y = kx, where k is a constant rate at which x and y are directly proportional.
<span>If two variables are in inverse proportion, then as one increases, the other decreases, and vice versa. For example: if you take unpaid vacation from work, the number of days taken off (variable x) is in inverse proportion to the amount of money you make (variable y). The more vacation you take, the less money you'll make, and vice versa. You can put these into the equation y = k/x, where k is a constant rate at which x and y are inversely proportional.</span>
True ........... I Hope this helps you answer your question.
Answer:
y=5
x=-1
Step-by-step explanation:
5x-2y=-15
3x+8y=37
add 2y to both sides
5x=2y-15
divide both sides by 5
x=(2y-15)/5
x=2y/5-3
substitute for x
3(2y/5-3)+8y=37
6y/5-9+8y=37
add 9 to each side
6y/5+8y=46
subtract 8y from both sides
6y/5=46-8y
multiply both sides by 5
6y=5(46-8y)
6y=230-40y
46y=230
y=5
substitute for y
5x-2(5)=-15
5x-10=-15
5x=-5
x=-1
Answer:
D) a chi square test for independence.
Step-by-step explanation:
Given that we suspect that automobile insurance premiums (in dollars) may be steadily decreasing with the driver's driving experience (in years), so we choose a random sample of drivers who have similar automobile insurance coverage and collect data about their ages and insurance premiums.
We are to check whether two variables insurance premiums and driving experience are associated.
Two categorical variables are compared for different ages and insurance premiums.
Hence a proper test would be
D) a chi square test for independence.
The answer will be 25 using the Pythagorean theorem.<span />
