Answer:
Suppose,
(C - A) ∩ (B - A) ≠ ∅
Let x is an element of (C - A) ∩ (B - A),
That is, x ∈ (C - A) ∩ (B - A),
⇒ x ∈ C - A and x ∈ B - A
⇒ x ∈ C, x ∉ A and x ∈ B, x ∉ A
⇒ x ∈ B ∩ C and x ∉ A
⇒ B ∩ C ⊄ A
But we have given,
B ∩ C ⊂ A
Therefore, our assumption is wrong,
And, there is no common elements in (C - A) and (B-A),
That is, (C - A) ∩ (B - A) = ∅
Hence proved...
N = number of seeds planted
P = probability of germination
K = number that germinated
Using probability calculation:
p(x = k) = (n k) x 0.90^K x 0.10^n-k
p(10) = (12 10) x 0.90^10 x 0.10^2
P(10) = 0.2310
The perimeter of the shaded region is 8π cm and the area of the shaded region is 32(π - 2) cm² or 36.53 square cm.
<h3>What is a circle?</h3>
It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have shown a square in which a one-fourth circle is shown and making an ellipse.
The perimeter of the circle = 2πr = 2π(8) = 16π cm
The perimeter of the one-fourth is circle = (16π)/4 = 4π cm
The perimeter of 2 one-fourth circle = 2(4π) = 8π cm
The area of the one-fourth circle = (1/4)πr² = (1/4)π(8)² = 16π square cm
The area of the right-angle triangle = (1/2)(8)(8) = 32 square cm
The area of the shaded region = 2(16π - 32) = 36.53 square cm
or
= 32(π - 2)cm²
Thus, the perimeter of the shaded region is 8π cm and the area of the shaded region is 32(π - 2) cm² or 36.53 square cm.
Learn more about circle here:
brainly.com/question/11833983
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Answer:
327,310
Step-by-step explanation:
Area of each of the tiles = (2.5 * 6) inches^2
= 15 inches^2
Now we have to get down to the case of the backsplash
1 feet = 12 inches
Then
Length of the back splash = 8 feet
= (8 * 12) inches
= 96 inches
Height of the back splash = 2.5 feet
= (2.5 * 12) inches
= 30 inches
Then
Area of the back splash = ( 30 * 96) inches^2
= 2880 inches^2
So
The number of tiles required to fit in the back splash = 2880/15
= 192
So 192 tiles will be required to fit in the back splash. I hope the procedure is clear enough for you to understand.
