The total number of ways the study can be selected is: 637065
Given,
Total number of women in a group= 13
Total number of men in a group = 12
Number of women chosen = 8
Number of men chosen = 8
∴ the total number of ways the study group can be selected = 13C₈ and 12C₈.
This in the form of combination factor = nCr
∴ nCr = n!/(n₋r)! r!
13C₈ = 13!/(13 ₋ 8)! 8!
= 13!/5!.8!
= 1287
12C₈ = 12!/(12₋8)! 8!
= 12!/5! 8!
= 495
Now multiply both the combinations of men and women
= 1287 × 495
= 637065
Hence the total number of ways the study group is selected is 637065
Learn more about "Permutations and Combinations" here-
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In this case 'g' would be 5 - 7f
Answer is 0.396
To make it easier, I converted the fraction to a decimal (0.99), then multiplied 0.99 • 0.4 which will equal 0.396 or 99/250.
Do you want to know how it looks like? Because to me it kind of looks like a kite shape. But on the bottom it is very long. If you want I can explain it.
Answer:
B) 120 degrees
Step-by-step explanation:
The two triangles are the same, so first find the measure of angle B.
To do this first solve for angles A and C. Solve for A first: 4x or 4(5), which is 20 degrees. Now solve for C: 8x or 8(5), which is 40 degrees. Add 40 + 20 degrees to get 60 degrees total of those two angles.
A triangle has 180 total degrees, so to solve for the measure of Angle B, subtract 180 - 60 to get 120 degrees.
Since the two triangles are the same, Angle D is the measure as Angle B.
Hope it helps!
