Answer:
Only 1 plane containing line L can be drawn parallel to plane P.
Step-by-step explanation:
Line L is an axis of an infinite number of planes that can contain it. Line L is a straight line suspended over or below plane P.
All the planes that can contain line L would be almost infinte. Spinning around this axis of line L, the planes that can contain line L will be always be at an angle to plane P except for one position. In this position the plane containing Line L would face straight up to the plane P, hence, this is the only parallel case.
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Answer:
The expected value of each warranty sold is $23.8.
Step-by-step explanation:
0.8% probability of the product failling.
If the product fails, the company will lose 400 - 27 = $373. So a net value of -373.
100 - 0.8 = 99.2% probability of the product not failling.
If the product does not fail, the company gains $27.
What is the company's expected value of each warranty sold?
We multiply each outcome by its probability.
0.008*(-373) + 0.992*27 = 23.8
The expected value of each warranty sold is $23.8.
Find two numbers with a sum of 20 and a difference of 14
Make two equations
X+Y=20
X-Y=14
Now add x since y cancels out and add 20+14 To end up with
2x=34
Now divide 2 both sides to get x alone
2x/2=34/2
X=17
Now substitute x answer to first equation and solve for y
17+y=20
Subtract 17 both sides
Y= 3
Your two numbers are
3 and 17
Answer:
5. k=−3
6. x=4
7. n=−108
Step-by-step explanation:
5. -14k+29=71
Subtract 29 from both sides
-14k+29-29=71-29
Simplify
-14k=42
Divide both sides by -11
-14k/-14=42/-14
6. -33=19-13x
Subtract 29 from both sides
-14k+29-29=71-29
Simplify
-14k=42
Divide both sides by -14
-14k/-14=42/-14
Simplify
k=-3
7. 8+n/25=-4
Multiply both sides by 25
25(8+n)/25 = 25 (-4)
Simplify
8+n=-100
Subtract 8 from both sides
8+n-8=-100-8
Simplify
n=-108
Answer:
Tim gets £10 and sam gets £30
Step-by-step explanation:
