Answer:
A. 12.68 - 14.72 hours
B. Normal distribution.
Step-by-step explanation:
Part A
This question is using quantitative data. A 99% confidence interval means that you want to know the range where 99% of the population will be. To find this you have to convert the 99% CI into the z-score which is -2.58SD to + 2.58SD.
Note that the standard deviation(SD) is from the sample, not the population. We still need to find the standard deviation of the population. The formula is:
population SD =
Where the o= sample SD = 7.4
n= number of sample = 463
The calculation will be:
population SD =
population SD = = 0.3951
The bottom limit will be:
Mean - SD * z-score= 13.7 - 0.3951*2.58 = 12.68 hours
The upper limit will be:
Mean + SD * z-score= 13.7 + 0.3951*2.58 =14.72 hours
The 99% CI range will be 12.68 - 14.72 hours
Part B
The table used to convert confidence interval into z-score depends on the distribution type of the data. Most data is classified as normal distributed, a data type that will concentrated at mean and spread equally from the mean. Normal distribution data will look like a bell which make it also called bell curve.
The question tells you that the data is normal distribution, but that doesn't mean every data is normally distributed. There are a lot of other data distribution type so we have to do some tests to know the normality of the data in real-life data.
it is not because prime factorization is a number broken down by its prime factors
4 x 3 x 20 x 8 x 22 = 42240
the correct prime factorization of 42240 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11
can i have brainliest
<span>-6a+2b=8
add (6a) to both sides
-6a +2b+6a = 8 +6a
simplify
2b = 8+ 6a
divide both sides by 2
2b/2 =(8+6a)/2
simplify
b= 8/2 + 6a/2
b=4 +3a
or
b=3a+4</span>
Answer:
(1) To south-west is 135°
(2) To south is 180°
Answer:
73
Step-by-step explanation:
According to Triangle Sum Theorem, the 3 interior angles of a triangle adds up to 180 degrees.
So, you can take the other 2 interior angles to find the third on:
180-72-35=73
<1=73 degrees