The ball drops 72 inches (6 feet).
The ball bounces back 49 inches (4 feet, 1 inch).
49/72 = 68.05%
So yes, the ball (barely!) passes inspection.
Answer:
multiply the result by 100 to get a percentage.
Step-by-step explanation:
Answer:
Standard deviation of the sample = 17.421
Step-by-step explanation:
We are given that in a random sample of 80 teenagers, the average number of texts handled in one day is 50.
Also, the 96% confidence interval for the mean number of texts handled by teens daily is given as 46 to 54.
So, sample mean, 
= 50 and Sample size, n = 80
Let sample standard deviation be s.
96% confidence interval for the mean number of texts,
is given by ;
96% confidence interval for = 
[46 , 54] = 
Since lower bound of confidence interval = 46
So, 46 = 
50 - 46 = 
s = 
= 17.421
Therefore, standard deviation of the sample is 17.421 .
Answer:
Here's what we know:
A = Lw (Area is length times width)
L = 2w + 6 (length is twice the width plus 6)
A = 140 (Area is 140 m2)
Plug in the variable values:
140 = w(2w + 6)
Distribute:
140 = 2w2 + 6w
Subtract 140:
2w2 + 6w - 140 = 0
Factor out a 2:
2(w2 + 3w - 70) = 0
Divide both sides by 2:
w2 + 3w - 70 = 0
(w + m)(w - n)
When we factor out the quadratic, we know it's going to be a +/- situation because the c value in the quadratic is negative, and the two numbers are going to be three away, the plus next to the 3 meaning that the larger number is going to be positive:
(w + 10)(w - 7) = 0
w = -10, 7
We can't have a negative length, so we can toss out the -10, leaving us with w = 7 meters.
L = 2 * 7 + 6
L = 14 + 6
L = 20
Check:
140 = 20 * 7
140 = 140
(-7)+13=6
(-7)-13=(-20)
Therefore A and C are the possible coordinates
