Answer:
10
Step-by-step explanation:
14 - (17 - 5) + 8
PEMDAS says parentheses first
14 - (12) + 8
Since we have no exponents, or multiplication or division
We add and subtract from left to right.
2+8
10
Answer:
16% probability that a randomly chosen U.S. adult sleeps more than 8.7 hours per night
Step-by-step explanation:
The Empirical Rule(Standard Deviation) states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 7.5
Standard deviation = 1.2
Using the Standard Deviation Rule, what is the probability that a randomly chosen U.S. adult sleeps more than 8.7 hours per night?
8.7 = 7.5 + 1.2
So 8.7 is one standard deviation above the mean.
By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean. The other 100-68 = 32% are more than one standard deviation from the mean. Since the normal probability distribution is symmetric, 16% are more than one standard deviation below the mean and 16% are more than one standard deviation above the mean(above 8.7 hours)
So, 16% probability that a randomly chosen U.S. adult sleeps more than 8.7 hours per night
- The margin of error of the proportion given is of 2.9%.
- Applying the margin of error, the confidence interval is (29.1%, 34.9%).
-----------------------
The margin of error of a confidence interval of a proportion 
in a sample of size n, with a confidence level of 
, is:
In which z is the z-score that has a p-value of 
.
The confidence interval is:
In this problem:
- Poll of 1012 people, thus
. - 32% keep a dog, thus
95% confidence level
Thus 
, z is the z-score that has a p-value of 
, so 
.
The margin of error is:
As a percent, 2.9%, as 0.029 x 100% = 2.9%.
Now for the confidence interval, which is <u>percentage plus/minus margin of error</u>, thus:
The confidence interval is (29.1%, 34.9%).
A similar problem is given at brainly.com/question/16807970
Answer:
n numbers, because we can use variables like l and w to represent the unknown length and width. Many expressions have more than one variable in them. The volume of a box without a lid is given by the formula V = 4x(10−x)2, where x is a length in inches and Rochelle has invested $2500 in a jewelry making kit.
Step-by-step explanation:
The yearly increase in a child’s height
the length of a paper clip
