Answer:
The shaded area is 
Step-by-step explanation:
we know that
The shaded area is equal to the area of the large square minus the area of the two smaller squares
so

Calculate the shaded area
Remember that

substitute

Okay we know that tangent-chords creat 90 degree angles so what we have is a right triangle with a base of 9 and a height of 12, so do Pythoagoreas Theorem and we have 81+144=225 square root of 225 is 15 and that is AJ
Answer:
- <u>0.25</u>
- <u>0.85</u>
Step-by-step explanation:
P (Triangle or Square) :
- Area of Triangle + Area of Square / Area of Rectangle
- 1/2 x 3 x 4 (height is found by Pythagorean Theorem) + (3)² / 10 x 6
- 6 + 9 / 60
- 15/60
- <u>0.25</u>
<u></u>
P (Not the square) :
- Area of rectangle - Area of square / Area of rectangle
- 60 - 9 / 60
- 51/60
- 17/20
- <u>0.85</u>
Answer:
Mean of sampling distribution = 25 inches
Standard deviation of sampling distribution = 4 inches
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 25 inches
Standard Deviation, σ = 12 inches
Sample size, n = 9
We are given that the distribution of length of the widgets is a bell shaped distribution that is a normal distribution.
a) Mean of the sampling distribution
The best approximator for the mean of the sampling distribution is the population mean itself.
Thus, we can write:

b) Standard deviation of the sampling distribution

If you wanted to paint the entire door (even the top and bottom which people don't usually paint)
the surface area is
SA=2(LW+LH+WH)
where L=length, W=width and H=height
given
L=35.25
W=1.75
H=77
SA=2(35.25*1.75+35.25*77+1.75*77)
SA=2(61.6875+2714.25+134.75)
SA=2(2910.6875)
SA=5821.375
you need enough paint to cover 5821.375 square inches of door