Answer:
B. x(x) + (−6)(−3)
NOT equivalent to (x − 6)(x − 3)
Step-by-step explanation:
(x − 6)(x − 3)
= x^2 - 3x - 6x + 18
= x^2 - 9x + 18
A. (6 − x)(3 − x)
= 18 - 6x - 3x + x^2
= 18 - 9x + x^2
= x^2 - 9x + 18 ---->equivalent to (x − 6)(x − 3)
B. x(x) + (−6)(−3) = x^2 + 18 ----> NOT equivalent to (x − 6)(x − 3)
C. x2 − 3x − 6x + 18 = x^2 - 9x + 18 --> equivalent to (x − 6)(x − 3)
D. x(x − 6) − 3(x − 6)
= x^2 - 6x - 3x + 18
= x^2 - 9x + 18 ---->equivalent to (x − 6)(x − 3)
Answer:
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Given
The attached triangle
Required
Find h, x and y
Let the base of the triangle be 15.
So, the area is:
Let the base of the triangle be 25.
So, the area is:
Substitute
Solve for h
Considering the smallest triangle
So:
This gives:
Take square roots
Solving for y
ANSWER
1 bell shape
2 to find probability when sampling
EXPLANATION
1 In a normal distribution, the mode,mean and median are equal.
As a result, the distribution is neither skewed to the right or left.
The shape of the normal distribution looks like a bell.
That is why it is also called the bell curve.
2. The area under the normal curve is 1.
The line of symmetry of the bell shaped distribution divides it into two halves with area 0.5 each.
The normal curve is therefore used to find the probabilities of a sample distributions.
Given:
Square pyramid with lateral faces.
646 ft wide at the base.
350 ft high.
Because of the term lateral faces, we need to get the lateral area of the square pyramid.
Lateral Area = a √a² + 4 h² ; a = 646 ft ; h = 350 ft
L.A. = 646 ft √(646ft)² + 4 (350ft)²
L.A. = 646 ft √417,316 ft² + 4 (122,500 ft²)
L.A. = 646 ft √417,316 ft² + 490,000 ft²
L.A. = 646 ft √907,316 ft²
L.A. = 646 ft * 952.53 ft
L.A. = 615,334.38 ft²
