Answer:
0.45134
Step-by-step explanation:
Given that :
p = 0.6
n = 400
Probability that sample. Proportion falls between 0.59 and 0.62
Using Normal approximation :
Mean (m) = n * p = 400 * 0.6 = 240
Standard deviation (s) = sqrt(pq/n)
q = 1 - p = 1 - 0.6 = 0.4
s = sqrt((0.6 * 0.4) / 400) = 0.0244948
P(0.59 < p < 0.62) :
(x - m) / s
P((0.59 - 0.6) / 0.0244948) < p < P((0.62 - 0.6) / 0.0244948)
P(Z < −0.408249) < p < P(Z < 0.8164998)
Using the Z probability calculator :
0.79289 - 0.34155 = 0.45134
I think it should be F=45
ax² + bx + c = 0
x = (-b ± √(b² - 4ac))/2a
First, rewrite the first equation so that the first coefficient is 1. Divide everything by a.
(ax² + bx + c = 0)/a =
x² + (b/a)x + (c/a) = 0
Isolate (c/a) by subtracting (c/a) from both sides
x² + (b/a)x + (c/a) (-(c/a) = 0 (- (c/a)
x² + (b/a)x = 0 - (c/a)
Add spaces
x² + (b/a)x = -c/a
Take 1/2 of the middle term's coefficient and square it. Remember that what you add to one side, you add to the other.
x² + (b/a)x + (b/2a)² = -c/a + (b/2a)²
Simplify the left side of the equation.
x² + (b/a)x + (b/2a)² = (x + (b/2a))²
(x + b/2a))² = ((b²/4a²) - (4ac/4a²)) -> ((b² - 4ac)/(4a²))
Take the square root of both sides of the equation
√(x + b/2a))² = √((b²/4a²) - (4ac/4a²))
x + b/(2a) = (±√(b² - 4ac)/2a
Simplify. Isolate the x.
x = -(b/2a) ± (∛b² - 4ac)/2a = (-b ± √(b² - 4ac))/2a
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The only equation that works with x=-6 is A
Answer:
There is nothing to multiply.
