Answer:
x = 15
Step-by-step explanation:
We assume you want to find the value of x.
Know (or prove) that in this geometry, all of the right triangles are similar. That means the ratios of corresponding sides are proportional.
short side / hypotenuse = 9/x = x/25
x^2 = (9)(25) . . . . . . . . . . multiply by 25x ("cross multiply")
x = √((9)(25)) = (3)(5) . . . take the square root
x = 15
1. -5x-8(-3)=9
-5x+24=9
-5x=-15
x=3
(3,-3)
2. -6x-2(-3x)=3
-6x+6x=3
0=3
No solution
3. 6x+5(-8x+2)=10
6x-40x+10=10
-34x+10=10
-34x=0
x=0
y=-8(0)+2
y=2
(0,2)
4. 6x+2(-3x-3)=-6
6x-6x-6=-6
-6=-6
Infinitely many solutions
Answer:
b. Binomial distribution.
Step-by-step explanation:
As a manufacturer is interested in the number of blemishes or flaws occurring every 100 feet of material which shows that only two possible outcomes with fixed number of trials are present here, so the probability distribution that has the greatest chance of applying to this situation is a binomial distribution that summarizes the possibility that a value will take one of two independent values under a provided set of parameters.
If 2/3 of the cards are face-up, then 2/3*12=8 cards are face-up. The remaining 12-8=4 cards are therefore face down.