Answer:
a.. 8% of ? = 20 <u> 240</u>
b.75% of ? = 30 <u>40</u>
c. 20% of ? = 45 <u>225</u>
d. 150% of ? = 36 <u>24</u>
The steps of answer is in attached file
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A) The answer is 5.
nCr = n! / (r! (n - r)!)
n - number of things to be chosen from
r - number of chosen things
There are five seniors in a class: n = 5
<span>I choose one senior: r = 1
</span>
nCr = n! / (r! (n - r)!)
5C1 = 5! / (1! (5 - 1)!)
= (5 * 4 * 3 * 2 * 1) / (1 * 4!)
= 120 / (4 * 3 * 2 * 1)
= 120 / 24
= 5
b) The answer is 10.
nCr = n! / (r! (n - r)!)
n - number of things to be chosen from
r - number of chosen things
There are five seniors in a class: n = 5
I choose two seniors: r = 2
nCr = n! / (r! (n - r)!)
5C2 = 5! / (2! (5 - 2)!)
= (5 * 4 * 3 * 2 * 1) / ((2 * 1) * 3!)
= 120 / (2 * (3 * 2 * 1))
= 120 / (2 * 6)
= 120 / 12
= 10
c) The answer is 10.
nCr = n! / (r! (n - r)!)
n - number of things to be chosen from
r - number of chosen things
There are five seniors in a class: n = 5
I choose three seniors: r = 3
nCr = n! / (r! (n - r)!)
5C3 = 5! / (3! (5 - 3)!)
= (5 * 4 * 3 * 2 * 1) / ((3 * 2 * 1) * 2!)
= 120 / (6 * (2 * 1))
= 120 / (6 * 2)
= 120 / 12
= 10
d) The answer is 5.
nCr = n! / (r! (n - r)!)
n - number of things to be chosen from
r - number of chosen things
There are five seniors in a class: n = 5
I choose four seniors: r = 4
nCr = n! / (r! (n - r)!)
5C4 = 5! / (4! (5 - 4)!)
= (5 * 4 * 3 * 2 * 1) / ((4 * 3 * 2 * 1) * 1!)
= 120 / (24 * 1)
= 120 / 24
= 5
e) The answer is 1.
nCr = n! / (r! (n - r)!)
n - number of things to be chosen from
r - number of chosen things
There are five seniors in a class: n = 5
I choose five seniors: r = 5
nCr = n! / (r! (n - r)!)
5C5 = 5! / (5! (5 - 5)!)
= (5 * 4 * 3 * 2 * 1) / ((5 * 4 * 3 * 2 * 1) * 1!)
= 120 / (120 * 1)
= 120 / 120
= 1
Answer:
Number of term N = 9
Value of Sum = 0.186
Step-by-step explanation:
From the given information:
Number of term N = 
Number of term N = 
Number of term N = 9
The Value of the sum can be determined by using the expression for geometric series:
here;
m = 5
n = 9
r = 0.5
Then:
incoorect Step-by-step explanation:
Supplementary Angles two angles that sum up to 180°
the other two sides are that and the other side is 70
Answer: Answer:
There is moderate level of overlap between the two data sets.
Step-by-step explanation:
Overlap of data sets.
Overlap measures the degree of duplication that exists within data sets.
It is an indicator of the degree to which data are identical.
We are given two data sets in the question.
We have to find the amount of overlap in data set 1 and in data set 2.
There are 8 data points in data set 1 as shown in the image.
There are 8 data points in the data set 2 as shown in the image.
Out of the 8 data points for both data set 1 and data set 2, 5 data points overlap each other on 6, 7, 8 and 9.
Thus, we could say there is moderate level of overlap between the two data sets.
