Answer:
.
Step-by-step explanation:
How many unique combinations are possible in total?
This question takes 5 objects randomly out of a bag of 50 objects. The order in which these objects come out doesn't matter. Therefore, the number of unique choices possible will the sames as the combination
.
How many out of that 2,118,760 combinations will satisfy the request?
Number of ways to choose 2 red candies out a batch of 28:
.
Number of ways to choose 3 green candies out of a batch of 8:
.
However, choosing two red candies out of a batch of 28 red candies does not influence the number of ways of choosing three green candies out of a batch of 8 green candies. The number of ways of choosing 2 red candies and 3 green candies will be the product of the two numbers of ways of choosing
.
The probability that the 5 candies chosen out of the 50 contain 2 red and 3 green will be:
.
Answer: 
Step-by-step explanation:
For finding the quotient of the given division,
In the long division method, we will follow the following steps.
Step 1 : Here the divisor is d-2 and dividend is 
Multiply (d-2) by 
and subtract the dividend by the resultant.
We get 
Step 2: Multiply (d-2) by 
and subtract the remaining dividend by the resultant.
We get 
Step 3 : Multiply (d-2) by 
and subtract the remaining dividend by the resultant.
We get 
Since, after getting 7 it is not possible further division,
Hence, Remainder = 7,
Quotient = sum of all expression by that we multiply (d-2) =
9514 1404 393
Answer:
16) No
17) (c)
Step-by-step explanation:
For a lot of multiple-choice matrix problems, a simple test is all that is needed to determine the correct answer.
16) The determinant of A is (-2)(-2) -(2)(-3) = 10. So, we expect to see values in the inverse matrix that are 0.2 and 0.3. Alas, they're not there. The matrices are not inverses.
A^-1 = [[-.2, .3][-.2, -.2]]
__
17) The matrices are both 3×3, so their product is possible (eliminates choice D). The upper left term is different among the answer choices, so we can determine the correct one by computing that term only.
BA=C
c11 = (5)(1) +(7)(5) +(3)(-1) = 5 +35 -3 = 37
This matches the third choice (C).
If you use a calculator to compute the full matrix product, it matches choice C in all details.
Step-by-step explanation:
y=(x-d)²+7
y-7=(x-d)²
√(y-7)=x-d
d=x-√(y-7)
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