Answer:
The 95% confidence interval would be given (0.419;0.481).
Step-by-step explanation:
Data given and notation
n=1000 represent the random sample taken
X=450 represent the people in the sample favored Candidate A
estimated proportion of people in the sample favored Candidate A
represent the significance level
Confidence =0.95 or 95%
p= population proportion of people in the sample favored Candidate A
Solution to the problem
The confidence interval would be given by this formula
For the 95% confidence interval the value of 
and 
, with that value we can find the quantile required for the interval in the normal standard distribution.
And replacing into the confidence interval formula we got:
And the 95% confidence interval would be given (0.419;0.481).
We are confident (95%) that about 41.9% to 48.1% of the people are favored Candidate A.
Answer:
Last option; x < 2 and x > -1
Step-by-step explanation:
1. We know 2x − 1 < 3 and 2x − 1 > −3, so let's solve both of these inequalities.
2. (Solving for 1st condition)
Step 1: Add 1 to both sides.
Step 2: Divide both sides by 2.
3. (Solving for 2nd condition)
Step 1: Add 1 to both sides.
Step 2: Divide both sides by 2.
4. Now, we know that the value of x is greater than -1 but less than 2, and we can represent it on a number line like this:
Answer:
C:4 cm, 8 cm, 5 cm
Step-by-step explanation:
sum of length of any two sides of a triangle will be larger than the third side.
Hector can bike 0.6 miles in 12 hours
