Do a proportion
8/100= x/70
Cross multiply and divide
70 x 8= 560
560 divided by 100= 5.6
Answer is 5.6
You also could have done .08 x 70 which is also 5.6
Answer:
It depends on what sides equal which measurement. But it could be true.
Answer:
a)
b) 
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Part a
Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability like this:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.
Part b
For this case we select a sample size of n =32. Since the distribution for X is normal then the distribution for the sample mean
is given by:
And the new z score would be:



Answer:
A box plot is drawn with end points at 24 and 49.The box extends from 28 to 44 and a vertical line is drawn inside the box at 34.
Step-by-step explanation:
Ordering the data given :
24,28,32,34,40,44,49
We can calculate the 5 number summary required to give the appropriate boxplot that can be produced :
Minimum = 24
Maximum = 49
Median = 1/2(n+1)th term
n = 7
Median = 1/2(8) = 4th term
Median = 34
Lower quartile, Q1 = 1/4(n+1)th term
n = 7
1/4(8) = 2nd term
Q1 = 28
Upper quartile : 3/4(n+1)th term
n = 7
Q3 = 3/4(8) = 6th term
Q3= 44
Relatively prime means there are no number greater than 1 that divides them both.
Find the GCF for each set:
A. 68 and 119
68: 1 , 2, 4, 17, 34,68
119: 1, 7, 17
Both numbers can be divided by 1 or 17 so are not relative.
B.
40 and 395
are both divisible by 1 and 5 so are not relative.
C. 119 and 715
Are both only divisible by 1, so are relative.
D. 63 and 56
Are divisible by both 1 and 7 so are not relative.
The answer is C. 119 and 715