C.21
5^2-4=21
Explanation
1.567038973 is the answer
Answer:
d/c = 8
Step-by-step explanation:
f(x) = 5.4321×2^×
f(4) = 5.4321×2^4 = d
f(1) = 5.4321×2^1 = c
d/c = (5.4321×2^4)/(5.4321×2^1) = 2^3 = 8
Answer:
Sequence 1: Translate 5 units to the right, and 5 units down
Sequence 2: Reflect across the origin, translate 1 unit down, 1 unit to the right
Step-by-step explanation:
Chose 1 point to focus in, such as (-1, 1)
Move that point 5 units to the right, and 5 units down. See how it matches up with the same corner of the red square?
Now, use that same point, and change the signs of both the x and y, this is to reflect across the origin. (In reality, you are just reflecting across the x and y axis)
So you originally have: (-1,1) -> (1, -1)
Now move this point one unit to the right, and 1 unit to the left.
It may seem that you made it touch the wring corner, but do the same thing with another corner's points. They all flipped!
Answer:
0.5 ; 0.475 ; 0.689 ; 0.4013
Step-by-step explanation:
Given that:
Rate of production of defective batteries p = 0.05
Number of batteries produced (n) = 10
The expected number of defective batteries = mean = n * p = 10 * 0.05 = 0.5 batteries
Variance of defective batteries :
Var(X) = n * p * q ; q = 1 - p
Hence,
Var(X) = 10 * 0.05 * 0.95 = 0.475
Standard deviation (X) = sqrt(variance) = sqrt(0.475) = 0.689
Probability that atleast 1 battery is defective :
Using the binomial probability function
P(x ≥ 1) = 1 - p(x = 0)
= 1 - q^n
= 1 - 0.95^10
= 1 - 0.59873693923837890625
= 0.40126306076162109375
= 0.4013
