Answer: If in a prior study, a sample of 200 people showed that 40 traveled overseas last year, then n= 385
If no estimate of the sample proportion is available , then n= 601
Step-by-step explanation:
Let p be the prior population proportion of people who traveled overseas last year.
If p is known, then required sample size =
z-value for 95% confidence = 1.96
E = 0.04 (given)
Required sample size = 385
If p is unknown, then required sample size =
, where E = Margin of error , z* =critical z-value.
z-value for 95% confidence = 1.96
E = 0.04 (given)
So,
Required sample size = 601.
Answer:
x = -6
Step-by-step explanation:
-5x+1=31
- Subtract 1 from both sides of the equation.
-5x = 30
x = -6
Answer:
85.56% probability that less than 6 of them have a high school diploma
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they have a high school diploma, or they do not. The probability of an adult having a high school diploma is independent of other adults. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
50% of adult workers have a high school diploma.
This means that
If a random sample of 8 adult workers is selected, what is the probability that less than 6 of them have a high school diploma
This is P(X < 6) when n = 8.
In which
85.56% probability that less than 6 of them have a high school diploma
Writing the word problem as an equation you get:
x - 18 ≥ -12
Now to solve for x:
Add 18 to both sides of the inequality:
x ≥ -12 + 18
Simplify:
x ≥ 6
Answer:
12 feet.
Step-by-step explanation:
You have to add 4 numbers.
The perimeter is the whole distance around the rectangle
= 2*4 + 2*2
= 8 + 4
= 12 feet.