Answer:
12 or 0.83
Step-by-step explanation:
Answer:
7: 22,200
Step-by-step explanation: it's 26 cents out of a dollar so it would be 26 percent of the total or 30,000
30,000 • 0.26 = 7800
30,000 - 78000 = 22,200
First, we need to find the area of the two rectangles in this picture. We know that area = l*w.
So for the larger rectangle, we know the l = 100 m, and the w = 60 m. Let us find the area:

So the larger rectangle area is 6000 m.
The smaller rectangle has dimensions that are 2 m less on every side. So we can recalculate these dimensions as l = 96 m and w = 56 m.
Let's find the area of the smaller rectangle:

So we know that the area of the smaller rectangle is 5,376 m.
The area of the jogging path is going to be the difference between these two rectangles. Let us solve:

So now we know that
the area of the jogging path is 
.
Answer:
a. Mean = 6
Variance = 2.4
Standard Deviation = 1.55
b. P(X=16) = 0.124
Step-by-step explanation:
Given
n = Total shots = 10
p = Probability of success = 60%
p = 60/100
p= 0.6
q = Probability of failure
q = 1-p
q = 1 - 0.6
q = 0.4
a.
Mean = np
Mean = 10 * 0.6
Mean = 6
Variance = npq
Variance = 10 * 0.6 * 0.4
Variance = 2.4
Standard Deviation = √Variance
Standard Deviation = √2.4
Standard Deviation = 1.549193338482966
Standard Deviation = 1.55 --------- approximated
b.
We have X = 16
x = 10
Assume that the events "success" on the various throws are independent.
The 10th success came on the 16th attempt
So, the player had exactly 10 successes and 6 failures on 16th trial
So Probability = nCr 0.6^10 * 0.4^6
Where n = 15 and r = 9 (number of attempts and success before the 16th trial)
15C9 * 0.6^10 * 0.4^6
= 5005 * 0.0060466176 * 0.004096
= 0.123958563176448
= 0.124 ------ Approximated