Answer:
a) The interval for those who want to go out earlier is between 43.008 and 46.592
b) The interval for those who want to go out later is between 47.9232 and 51.9168
Step-by-step explanation:
Given that:
Sample size (n) =128,
Margin of error (e) = ±4% =
a) The probability of those who wanted to get out earlier (p) = 35% = 0.35
The mean of the distribution (μ) = np = 128 * 0.35 = 44.8
The margin of error = ± 4% of 448 = 0.04 × 44.8 = ± 1.792
The interval = μ ± e = 44.8 ± 1.792 = (43.008, 46.592)
b) The probability of those who wanted to start school get out later (p) = 39% = 0.39
The mean of the distribution (μ) = np = 128 * 0.39 = 49.92
The margin of error = ± 4% of 448 = 0.04 × 49.92 = ± 1.9968
The interval = μ ± e = 44.8 ± 1.792 = (47.9232, 51.9168)
The way for those who want to go out earlier to win if the vote is counted is if those who do not have any opinion vote that they want to go earlier
For there to be an infinite number of solutions, the quantity on the left side of the equation must be the same as on the right.
First, distribute the equation to get
6x + 18 = 3xh + 9h
If h = 2, the equation on the right would also be 6x + 18 which would yield the same equation and hence an infinite number of solutions
So the answer is h = 2
Answer:
?
Step-by-step explanation:
Answer:
- no question content
- (x, y) = (1/2, 4)
- (x, y) = (2, 10)
Step-by-step explanation:
1. No link, no question
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2. Divide the first equation by 2 and substitute for y using the expression in the second equation.
2x +(4x+2) = 5
6x = 3 . . . . . . . . . subtract 2
x = 3/6 = 1/2 . . . . divide by2
y = 4(1/2) +2 = 4 . . . . substitute into the equation for y
The solution is (x, y) = (1/2, 4).
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3. The solution using a graphing calculator is (x, y) = (2, 10). (see attached)
Answer:
x + 9
Step-by-step explanation:
(x²+17x+72)/(x+8)
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(x2 + 8x + 9x + 72)= (x + 9)(x+8)
(x²+17x+72)/(x+8) = x + 9
