Answer:
Total Dolls would Evelyn have had if she had not lost them = 9 Dolls
Step-by-step explanation:
As given,
Total dolls Evelyn had = 9
Total dolls lost =
× 9 = 3
So, Now
Evelyn had total dools after lost = 9 - 3 = 6
If she had not lost te dolls , then she had 3 dolls more
∴ we get
If she had not lost any dolls , Evelyn had total dolls = 6 + 3 = 9
So, The answer would be :
Total Dolls would Evelyn have had if she had not lost them = 9 Dolls
<h3>
Answer: 1960 </h3>
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Explanation:
Order doesn't matter when it comes to committees without rankings. Each person on the committee is of equal rank to anyone else. This means we'll use a combination instead of a permutation.
We have 8 men and 3 seats to fill for the men. Plug n = 8 and r = 3 into the nCr combination formula
n C r = (n!)/(r!(n-r)!)
8 C 3 = (8!)/(3!*(8-3)!)
8 C 3 = (8!)/(3!*5!)
8 C 3 = (8*7*6*5*4*3*2*1)/((3*2*1)*(5*4*3*2*1))
8 C 3 = (40320)/((6)*(120))
8 C 3 = (40320)/(720)
8 C 3 = 56
This means there are 56 ways to select the three men from a pool of eight.
Through similar steps, you should plug n = 7 and r = 3 into the nCr combination formula to get 7 C 3 = 35. This means there are 35 ways to pick the three women from a pool of seven.
Overall, there are 56*35 = 1960 ways to select the entire committee of 3 men and 3 women (from a pool of 8 men and 7 women).
Use the Midpoint Theorem to solve for x.
The theorem states that the line between the midpoints of a triangle is half the length of the side it's opposite to.
Line BF is opposite to Line CE. Line CE has a length of 88. Therefore, we can set up the following equation:


Divide both sides by 2 to get x by itself:

The value of x is
22.
Letter C.
The series is neither arithmetic or geometric.
The pattern is
1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
n^2 is the pattern where n is the position in the series.
Answer:
a) 20
Step-by-step explanation:
Use similar triangles.
2/3 = x/30
3x = 2 * 30
3x = 60
x = 20
Answer: a) 20