Answer:
b = 5
Step-by-step explanation:
4 ( 3b + 2 ) - 5b = 43 Given
( 4 • 3b + 4 • 2 ) - 5b = 43 Distributive Property
12b + 8 - 5b = 43
12b - 5b + 8 = 43 Combine like terms
7b + 8 = 43
7b + 8 - 8 = 43 - 8 Subtraction Property of Equality
7b = 35
7b / 7 = 35 / 7 Division Property of Equality
b = 5
Answer:
14y -5
Step-by-step explanation:
Given:
-3y - 2 - 3 + 17y (rearrange so that like terms are together)
= 17y - 3y -2 -3 (group like terms)
= (17y - 3y) + (-2 -3 ) simplify
= 14y + (-5)
= 14y -5
Using the binomial distribution, it is found that there is a 0.0012 = 0.12% probability at least two of them make it inside the recycling bin.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
With 5 shoots, the probability of making at least one is
, hence the probability of making none, P(X = 0), is
, hence:

![\sqrt[5]{(1 - p)^5} = \sqrt[5]{\frac{232}{243}}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B%281%20-%20p%29%5E5%7D%20%3D%20%5Csqrt%5B5%5D%7B%5Cfrac%7B232%7D%7B243%7D%7D)
1 - p = 0.9908
p = 0.0092
Then, with 6 shoots, the parameters are:
n = 6, p = 0.0092.
The probability that at least two of them make it inside the recycling bin is:

In which:
[P(X < 2) = P(X = 0) + P(X = 1)
Then:



Then:
P(X < 2) = P(X = 0) + P(X = 1) = 0.9461 + 0.0527 = 0.9988

0.0012 = 0.12% probability at least two of them make it inside the recycling bin.
More can be learned about the binomial distribution at brainly.com/question/24863377
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B.6 would be the right answer because thats the ratebin which it drops
Answer:
My favorite color is aqua and pink
Step-by-step explanation: