Answer:
25
Step-by-step explanation:
f(x)=-x^2-10x
Let x = -5
f(-5)=-(-5)^2-10(-5)
= -25+50
=25
<span>y=1/5x+5 with the point (-6, 0)
The line perpendicular to this line will have a slope that's the negative reciprocal of this one. So if the slope here is 1/5 (based on y=mx+b, where m is the slope), then the perpendicular slope would be -5/1.
So now that you have the point and the slope, use the point-slope formula.
y - y</span>₁ = m(x - x₁)
m = -5
(x₁, y₁) = (-6, 0)
y - 0 = -5(x + 6)
y = -5x - 30
y = -5x - 30 is the line perpendicular to y=1/5x+5.
Answer:
1. 1/120
2. 7/24
Step-by-step explanation:
n = 10
Number of defective = 3
1. Probability of all defective =
(Number of defective/n) x (number of defective -1/n -1)...(number of defective -n/n-1)
=3/10 x 2/9 X 1/8
= 6/720
= 1/120
2. probability of none defective
Since 3 are defective, those that are not defective = 7
The probability is therefore:
7/10 x 6/9 x 5/8
= 210/720
= 7/24.
