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ipn [44]
3 years ago
6

A box contains 4 white balls and 5 red balls. I draw 3 of them out of the box, one at a time, without replacement. What is the p

robability that the balls I draw alternate between the two colors?
Mathematics
1 answer:
Arisa [49]3 years ago
7 0

Let A be the probability of drawing a white ball first, then a red one second, and then a white one last.

Let B be the probability of drawing a red ball first, then a white one second, and then a red one last.

So, P(A or B)  = 

[4/9 x 5/8 x 3/7 =  60/504 ] + [ 5/9 x 4/8 x 4/7 = 80/504 ]  =

[60 + 80 ] / 504  = 140/504 =  5/18 = about 27.8%


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-8z+(4.5)+3.5z+7y-1.5
bogdanovich [222]

Answer:

  • \boxed{\sf{7y+3-4.5z}}

Step-by-step explanation:

In order to combine like terms, you have to isolate x and y from one side of the equation.

\sf{-8z+\left(4.5\right)+3.5z+7y-1.5}

<u>First, thing you do is remove parentheses.</u>

\Longrightarrow: \sf{-8z+4.5+3.5z+7y-1.5}

<u>Solve.</u>

<u>Then, you combine like terms.</u>

\Longrightarrow:\sf{-8z+3.5z+7y+4.5-1.5}

<u>Add/subtract the numbers from left to right.</u>

-8z+3.5z=-4.5z

<u>Rewrite the problem down.</u>

\Longrightarrow: \sf{-4.5z+7y+4.5-1.5}

<u>Solve.</u>

4.5-1.5=3

\Longrightarrow: \boxed{\sf{7y+3-4.5z}}

  • <u>Therefore, the correct answer is 7y+3-4.5z.</u>

I hope this helps, let me know if you have any questions.

6 0
2 years ago
If tanisha has $100 to invest at 8% annum compounded monthly, how long will it be before she has $150?
marissa [1.9K]

An exponential behavior can be observed.

Let x be the number of years she has to wait.

100((1+0.08/12)^12x) = 150

Now solve for x.

log base 1.08/12 of 1.5 = 61.02 approx

12x=61.02

x=5.09 years

4 0
3 years ago
A farmer examines a sample of 25 cartons of eggs and finds that 3 contains cracked eggs. What is the best prediction of the numb
sertanlavr [38]
I believe it's C) 60 because ideally it would be 3 for every 25, 20 x 25 = 200, so then you would do 3 x 20 = 60
3 0
3 years ago
Read 2 more answers
HELP!!! GIVE WHOEVER BRAINLIEST !!!
andrey2020 [161]

Answer:

B

Step-by-step explanation:

The opposite of x is -x

And the opposite of -6 is 6

So -x+6 is the inverse

8 0
2 years ago
Someone help me with number 2 please
WARRIOR [948]
Dang that’s hard , hope somebody helps you.
4 0
3 years ago
Read 2 more answers
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