Answer:
31465 ways
Step-by-step explanation:
Given data
Let us apply the combination formula
nCr = n! / r! * (n - r)!
n= 31
r= 4
substitute
= 31!/4!(31-4)!
= 31!/4!(27)!
= 31*30*29*28*27!/ 4!(27)!
= 31*30*29*28/4!
=31*30*29*28/4*3*2*1
=755160/24
=31465 ways
Hence there are 31465 possible ways to rank it
The value of the z score is 1.03.
According to the statement
we have given that the value of mean and standard deviation and we have to find the value of the z score.
So, For this purpose we know that the
Z-score indicates how much a given value differs from the standard deviation. The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean.
And the given values are:
mean value = 69 inches
s.d value = 2.8 inches
And the value of x is 71.9 inches.
So, The Z score is
z = x - mean / standard deviation
substitute the values in it then
z = 71.9 - 69 / 2.8
then
z = 2.9 /2.8
z = 1.03
So, The value of the z score is 1.03.
Learn more about Z Score here
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Answer:

mathematicallly error sentence!
Answer:
The final price paid by Samantha is 55.25 $
Step-by-step explanation:
In order to find out the final price of the jacket for Samantha we need to calculate how much 35% of 85 $ is and subtract the original price by it. So we have:
price of discount = 85*(35%) = 85*(35/100) = 85*(0.35) = 29.75 $
Now we can compute the final price by subtracting the original price by the price of discount. So we have:
final price = original price - price of discount = 85 - 29.75 = 55.25 $
Answer:
(-10,-7)
Step-by-step explanation:
first reflect over x=-3
(-7,-10)
then reflect over y=x
(-10,-7)