Answer:
Approximately 42.
Exact sum is 42 13/40.
Explanation:
Estimate 11 3/8: 11
Estimate 9 7/10: 10
Estimate 21 1/4: 21
Add them together: 42.
11.375 + 9.7 + 21.25 = 42.325
I made them into decimals and then will convert it into fraction.
42.325 = 42 13/40
Hope this helps!
Answer:
7
Step-by-step explanation:
9 is not a prime factor and of you divide 210 with 11, it will be a decimal
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
#SPJ1
Answer:
Step-by-step explanation:
Next time, please share the possible answer choices.
Since the slope and y-intercept are given here, we can immediately write out the slope-intercept form of the equation of this line:
y = mx + b becomes y = -1x - 5, where I have arbitrarily chosen the negative slope -1.
7/10=70/100=70%, so the answer is seventy-percent.