Answer:
9.25
Step-by-step explanation:
M₄ means the area using 4 rectangles with heights equal to the function evaluated at the midpoints.
The width of each rectangle is (4−0)/4 = 1.
The area of each rectangle is:
M₁ = (1) (1.12) = 1.12
M₂ = (1) (1.80) = 1.80
M₃ = (1) (2.69) = 2.69
M₄ = (1) (3.64) = 3.64
The total area is therefore:
M = 1.12 + 1.80 + 2.69 + 3.64
M = 9.25
It would be D because the formula is: pi r^2
Given that (p - 1/p) = 4, the value of p² + 1/p² is 18. Detail below
<h3>Data obtained from the questio</h3>
- (p - 1/p) = 4
- p² + 1/p² = ?
<h3>How to determine the value of p² + 1/p²</h3>
(p - 1/p) = 4
Square both sides
(p - 1/p)² = (4)²
(p - 1/p)² = 16 ....(1)
Recall
(a - b)² = a² + b² - 2ab
Thus,
(p - 1/p)² = p² + 1/p² - (2 × p × 1/p)
(p - 1/p)² = p² + 1/p² - 2
From equation (1) above,
(p - 1/p)² = 16
Therefore,
p² + 1/p² - 2 = 16
Rearrange
p² + 1/p² = 16 + 2
p² + 1/p² = 18
Thus, the value of p² + 1/p² is 18
Learn more about algebra:
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First factor each number
39=3*13
52=4*13
Now find the greatest common factor, which in our case is 13.
Answer: 13
Answer:
The point estimate for p is 0.86.
Step-by-step explanation:
We are given that in a marketing survey, a random sample of 730 women shoppers revealed that 628 remained loyal to their favorite supermarket during the past year (i.e. did not switch stores).
Let p = <u><em>proportion of all women shoppers who remain loyal to their favorite supermarket</em></u>
Now, the point estimate for the population proportion (p) is represented by ;
Point estimate for p =
=
where, X = Number of women shoppers who remained loyal to their favorite supermarket during the past year = 628
n = sample of women shoppers = 730
So, <u>point estimate for p</u> (
) =
=
= <u>0.86</u>