Answer:

Step-by-step explanation:
Given

Required
Write the variables and constants on different sides

Add 2x to both sides


Add 5 to both sides



Hence, the equation is

Solving further [divide both sides by 5]

Answer:
Zero real roots:
f(x) = x^2-x+1
f(x) = x^2+2x+3
One real root:
Two real roots:
f(x)=x^2+2x+1
f(x)=x^2-3x+2
Step-by-step explanation:
These were determined by using the quadratic formula.
Answer:
The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error is:

A confidence interval has two bounds, the lower and the upper
Lower bound:

Upper bound:

In this problem, we have that:

Lower bound:

Upper bound:

The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.
I'm just going to give you a very quick answer, but I can answer the question
1 foot = 12 inches.
x feet = 60 inches.
1 foot * 60 inches = 12 * x divide by 12
60 / 12 = 5
So the person is at least 5 feet tall. The height you want is 5 feet 4 inches.
So add 4 inches to 5 feet.
or
Add 4 inches to 60 inches.
you get 64 inches.
There are 20 entries all together. 2 people are 64 inches tall.
P(64) = 2/20 = 1/10 = 0.1
Answer P(64) = 0.1
I would check all of this if I were you. I'm not sure I counted either one correctly.