Answer:
20 feet
Step-by-step explanation:
There are 3 feet in a yard, so 9 yards and 1 foot = 28 feet. You find this by multiplying 9x3 = 27 and adding the extra foot, which makes it 28. To find the final answer just subtract 8 from 28, which gives you 20.
Answer:
p percent of the observations are less than the value and (100 - p) percent are more than this value.
Step-by-step explanation:
Given : The pth percentile is a value such that approximately
Solution :
Definition : A percentile is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations falls
So, The pth percentile means p percentage of observations in a group of observations falls bellow the value
So, (100-p) percentage of observations in a group of observations falls above the value
So, Option a is true
Hence p percent of the observations are less than the value and (100 - p) percent are more than this value.
It is d Ik Bc Ik don’t ask why just know it’s d
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:
The value of x in the equation is 26.7
<h3>How to solve an equation?</h3>
0.75x + 1.5y = 40
−1.5x − 1.5y = −60
add both equation to eliminate y .
Therefore,
−1.5x + 0.75x = -0.75x
1.5y + (- 1.5y) = 0
40 + (-60) = -20
Hence,
-0.75x = - 20
divide both sides by -0.75
-0.75x / -0/75 = - 20 / -0.75
x = - 20 / -0.75
x = 26.6666666667
x = 26.7
learn more on equation here: brainly.com/question/7234676
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