Answer:
probability = 0.2517
Step-by-step explanation:
given data
boy kittens = 9
girl kittens = 6
choose kittens at random = 9
solution
total kitten are = 9 + 6 = 15
first we get here total no of probability that is
n(s) = 15 C 9
n(s) =
n(s) =5005
and
total way to chose 5 boy kittens is = 9 C 3
n(3) =
n(3) = 84
and
total way to chose 4 girl kittens is = 6 C 4
n(4) =
n(4) = 15
so
total way to chose 5 boy kittens and 4 girl kittens is
total way = 84 ×15 = 1260
so probability that the director chooses 5 boy kittens and 4 girl kittens is
probability =
probability = 0.2517
1.) Rearrange terms Hope this helps!! :))
4(2h+g)
4(g+2h)
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2.) Distribute
4(g+2h)
4g+8h
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Solution
4g+8h
Problem 1
Answer: C) No solution
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Explanation:
We have z = -4 and 4z = -4 at the same time. Solving 4z = -4 leads to z = -1
So in effect we have z = -4 and z = -1 at the same time, but this is a contradiction. A variable can only hold one number at a time.
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Problem 2
Answer: C) Infinitely many solutions
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Explanation:
The two equations are equivalent. You can prove as such by isolating 2y in the first equation.
5x = 8-2y
5x+2y = 8
2y = 8-5x
2y = -5x+8
-5x+8 = 2y
This shows the first equation is equivalent to the second, and vice versa. They both graph the same line. Any point along the line is a solution. So that's why there are infinitely many of them.
======================================================
Problem 3
Answer: Choice A) 
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Explanation:
The range is the set of the possible y values. We're concerned with every y coordinate of each (x,y) solution. So we only focus on the shaded region.
The dashed line means we exclude the boundary. It's an electric fence we cannot touch. So y > -6 or -6 < y describes part of the range
The other part is
since y = 3 is the when the highest point occurs.
So writing
describes all possible y values of each (x,y) solution in the shaded region.
In standard form:
692,004
it is already in standard form
You may ask any questions???