P(X<=x) = 1 + 5.486 = 6.486
The z-score of the information given is,
z = (x - µ )/ σ
Where,
µ = mean
σ = standard deviation
From the information given,
x = 3.71
µ = 86
σ = √225 = 15
hence,
z = (3.71 - 86)/15 = -5.486
thus,
P(X<=x) = 1 + 5.486 = 6.486
hence , P(X<=x) = 1 + 5.486 = 6.486
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The standard form for this parabola is x = a(y-k)^2 + h because this is a sideways-opening parabola. Our h and k values for the vertex are (-4, -1). And it goes through (2,0). We just need to solve for the a. Filling in accordingly, 2 = a(0+1)^2-4 so 2 = a - 4. a = 6. A above.
correct answer is 6!
Answer:
y-5 = -6(x+3) OR y = -6x-13
Step-by-step explanation:
Let's use slope-intercept form to solve this problem.
Slope intercept form is the following:
y-y1 = m(x-x1)
x1 and y1 are given by the point in the problem.
x1 = -3, y1 = 5.
m is given by the equation in the problem. Lines that are parallel have the same slope. Thus,
m = -6.
If we plug these values into the equation for slope intercept form, we get the following:
y-5 = -6(x-(-3)) which becomes y-5 = -6(x+3)
This is an acceptable answer to the problem. However, point-slope form is also a way it can be written.
y-5 = -6x-18
y = -6x-13
