Inversely proportional: z = k/r
k = 32 * 1.5 = 48
Plug that into equation
8 = 48/r
Multiply both sides by r
8r = 48
Divide by 8
r = 6
Answer:
4 units wide
Step-by-step explanation:
Let the width of the table be 'w'
Given:
Perimeter of the table is, 
The perimeter of the rectangular table is given as the sum of all the sides of the rectangle. The sides include two lengths and two widths.
Length of the table is 8 times longer than its width. Therefore,

Now, perimeter is given as:

Now, plug in 72 for 'P' and solve for 'w'. This gives,

So, the table is 4 units wide.
Answer:
j = 5
Step-by-step explanation:
16j + -6j + -12j = -10
Combine like terms
10j -12j = -10
-2j = -10
Divide by -2
-2j/-2 = -10/-2
j = 5
Answer:
f(-4)= 24
Step-by-step explanation:
-4(-4)+8 We need to multiply -4 and -4 and a negative times a negative is a positive.
16+8 Now it's easy math and we just add them
This gives us 24.
Answer:
This means that the coach should have the team going for the 2 point shot. There is a 36% probability of making the 2 point shot and winning overtime.
Step-by-step explanation:
We have these following probabilities:
A 60% probability of tying the game on a 2 point shot. In this case, the game goes to overtime, in which the team has a 60% probability of winning.
A 30% probability of making the 3 point shot and winning.
What should the coach do, go for the 2 point shot or the 3 point shot?
In which case the team has a higher probability of winning?
The team has:
A 60% probability of tying the game on a 2 point shot. In this case, the game goes to overtime, in which the team has a 60% probability of winning. So, going for the 2 point shot, the team has a 0.6*0.6 = 0.36 = 36% probability of winning.
Going for the 3 point shot, the team has a 30% probability of winning.
This means that the coach should have the team going for the 2 point shot. There is a 36% probability of making the 2 point shot and winning overtime.