Solve and check thanks

Mathematics

1 answer:

navik [9.2K]2 years ago

6 0

The solution is x=-1

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Instruction: You must show all of your work bysl setting up the problem using combinatorics and simplifying completely.

MaRussiya [10]

There are 14 marbles in the bag, and we either want to get 0 or 1 cracked one (out of 2 cracked marbles) in 4 draws. Since there are 12 uncracked marbles and 2 cracked ones:
To get 0 cracked marbles, there are 12C4 ways (to draw 4 marbles out of the 12 uncracked ones only). 12C4 = 495 ways
To get 1 cracked marble, we need 3 to be from the 12 uncracked ones, and 1 from the 2 cracked ones. This means there are 12C3 x 2C1 = 440 ways
So the total number of ways is 495 + 440 = 935 ways.

5 0

2 years ago

The Doe family had a rectangular garden with a 58-foot perimeter. They reduced the length by 7 feet and decreased the width to b

Vaselesa [24]

Answer:

60 square foot

Step-by-step explanation:

Perimeter of a rectangular garden = 58 foot

Let x and y denote length and width of the rectangular garden.

2 (Length + Width) = Perimeter of the rectangular garden

$2(x+y)=58\\x+y=\frac{58}{2}\\ x+y=29$