Answer:
Mean = 8
Variance = 7.36
Standard Deviation = 2.7129
Step-by-step explanation:
This is a binomial distribution with parameters, n and p.
Where
n is sample size (given as 100)
p is the probability of success, or probability of defective (given as 8% or 0.08)
The mean, variance, standard deviation formula for binomial distribution is shown below:
Mean = 
Variance = 
Standard Deviation = 
Where q would be probability of failure, or "1 - p"
Thus,
n = 100
p = 0.08
q = 1 - 0.08 = 0.92
SO, we have:
Mean = 
Variance = 
Standard Deviation = 
Answer: FALSE
<u>Step-by-step explanation:</u>
x⁵ + 0x⁴ - 4x³ + 2x² - 4x + 1
If x - 2 is a factor, then x =2 should result in a remainder of 0 when using synthetic division.
2 | 1 0 -4 2 -4 1
<u>| ↓ 2 4 0 4 0 </u>
1 2 0 2 0 1 ← Remainder ≠ 0 so x - 2 is NOT a factor
Answer:
x=4
Step-by-step explanation:
Answer: 150 pounds
Step-by-step explanation:
Let the the astronaut weight on Earth be represented by x.
Based on the information given in the question, thus can be formed into an equation as:
16.5% of x = 24.75
16.5% × x = 24.75
16.5/100 × x = 24.75
0.165x = 24.75
x = 24.75/0.165
x = 150 pounds
The astronaut weigh 150 pounds on Earth.
