Answer:
Yes
Step-by-step explanation:
Permutation :
nPr = n! ÷ (n - r)!
nCr = n! ÷ (n-r)!r!
11 objects taken 3 at a time :
11P3 = 11! ÷ (11 - 3)!
11P3 = 11! / 8!
11P3 = (11 * 10 * 9 )
11P3 = 990
Dividing by 3!
3! = 3*2*1 = 6
= 990 / 6
= 165
For combination :
11C3 = 11! ÷ 8!3!
11C3 = (11 * 10 * 9) / (3 * 2 * 1)
11C3 = 990 / 6
11C3
Answer: (5,18); (-5,38)
Step-by-step explanation:
x^2-2x+3=-2x+28
x^2-25=0
(x-5)(x+5)= 0
-2(5)+28= 18
-2(-5)+28=38
(5,18)(-5,38)
Answer:
The total number of whole cups that we can fit in the dispenser is 25
Step-by-step explanation:
It is given that the height of each cup is 20 cm.
But when we stack them one on top of the other, they only add a height of 0.8 to the stack.
The stack of cups has to be put in a dispenser of height 30 cm.
So we need o find out how many cups can fit in the dispenser.
Since the first cup is 20 cm high, the height cannot be reduced. So the space to fit in the remaining cups in the stack is only 30-20 cm as that’s the remaining space in the dispenser
So,
30 - 20 = 10 cm
To stack the other cups we have 10 cm of height remaining
As we know that addition of each adds 0.8 cm to the stack, the total number of cups that can be fit in the dispenser can be calculated by the following equation. Let the number of cups other than the first cup be denoted by ‘x’.
10 + 0.8x = 30
0.8x = 20
x = 25
The total number of cups that we can fit in dispenser is 25
Answer: A
Step-by-step explanation:
i just did it on edgenuity
Number of kittens Ryan has = 8
Number of white kittens = 2
Number of not white kittens = 8 -2 = 6
Fraction of number of not white kittens = 6/8
To write the fraction in lowest form find the greatest common factor of numerator and the denominator. Divide the numerator and the denominator by the greatest common factor .
Now the greatest common factor of 6 and 8 is 2.
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