F ( x ) = ( 3 x + 6 ) ( 3 x - 6 ) / ( 3 x + 6 ) = 3 x - 6
and for domain : 3 x + 6 ≠ 0
3 x ≠ - 6
x ≠ - 2
anwser graph of 3 x - 6, with discontinuity at - 2
Well, if it is based off the Pythagorean Theorem, here is the formula: a squared plus b squared equals c squared. It also works with c squared minus a squared equals b squared. I hope this helps! Please mark me brainliest!
Answer: x=1
Step-by-step explanation:
To solve for x, we want to isoate the variable.
5-2x=3 [subtract both sides by 5]
-2x=-2 [divide both sides by -2]
x=1
Now, we know that x=1.
Answer: m = 18
Step-by-step explanation:
m + 2m - 6 = 12 + 2m
Add m and 2m (distribute)
3m - 6 = 12 + 2m
Subtract 2m from both sides
m - 6 = 12
Add 6 to both sides
m = 18
Answer:
a) P(X = 5) = 0.04397
b) The probability that X exceeds its mean by more than 1 standard deviation = P(z > 1) = 0.159
Step-by-step explanation:
a) This question can be solved using binomial distribution function formula
Using Binomial,
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = number of refrigerators to be examined before getting 5 refrigerators with defective compressors = 6
x = Number of successes required = 5
p = probability of success = probability of examining a refrigerator with defective compressor out of the total 12 = 5/12 = 0.4167
q = probability of failure = probability of examining a refrigerator without defective compressor out of the total 12 = 1 - (5/12) = 7/12 = 0.5833
P(X = 5) = ⁶C₅ (0.4167)⁵ (0.5833)⁶⁻⁵
P(X = 5) = ⁶C₅ (0.4167)⁵ (0.5833) = 1(0.01256)(0.5833) = 0.04397
P(X = 5) = 0.04397
b) The probability that X exceeds its mean by more than 1 standard deviation represents Z-score of z > 1
Using the normal distribution tables,
P(z > 1) = 1 - P(z ≤ 1) = 1 - 0.841 = 0.159
