Answer:
Yes, they are proportional
Step-by-step explanation:
First, simplify each fraction
30/80 can be simplified by dividing each number by 10
30/80
= 3/8
24/64 can be simplified by dividing each number by 8
24/64
= 3/8
So, each fraction will simplify to 3/8, meaning that they are proportional.
Answer:
There are 8 cans on each of the equal shelves
Step-by-step explanation:
Total number of cans put in display = 35
Shelves with equal no of cans = 4 Shelves
And one shelf displays only 3 cans
Therefore, 4 shelves with equal no of cans + 1 shelf with 3 cans = 35 cans
Let us assume equal no. of cans be x
We get, 4x + 3 = 35
4x = 35 - 3
4x = 32
x = 32 ÷ 4
x = 8
<u><em>Thus, 4 shelves with equal no of cans contains 8 cans each.</em></u>
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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Hey there!
We have 10 pieces of paper. The probability of drawing a 10 is 1/10. Therefore, if we were to draw ten times, the ten should probably be drawn once. If we multiplied our number of drawings by four (10*4=40), our outcome of seeing our slip with the ten should also quadruple and become four times. (1*4=4)
I hope that this helps! Have an awesome day!