Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.
For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the <em>binomial distribution</em> is used to solve this question.
Binomial probability distribution
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.
In this problem:
- There are 9 rolls, hence
.
- Of the six sides, 2 are 3 or 4, hence
The desired probability is:
In which:
Then
Then:
0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.
For more on the binomial distribution, you can check brainly.com/question/24863377
121- 88 = 33 miles traversed in 30 minutes.
d = r*t
33 = r* (.5 hr)
Solve for r.
Average speed will be in miles per hour.
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Answer:
3x^2 + 3xy/2 - 7xy^2/2
Step-by-step explanation:
So we know the perimeter is 20x^2 + xy - 7y^2,
To find any perimeter you need 2l + 2w = P so,
One of the sides is 7x^2 - xy
First plug in the values,
2(7x^2-xy) + 2w = 20x^2 + xy - 7y^2
Multiply,
14x^2-2xy + 2w = 20x^2 + xy - 7y^2
Subtract,
14x^2 - 2xy - 14x^2 + 2xy + 2w = 20x^2 + xy - 7y^2 - 14x^2 + 2xy
2w = 6x^2 + 3xy - 7y^2
w = 3x^2 + 3xy/2 - 7xy^2/2
For this case we have the following expression:
-x (7x + 2) + x ^ 2
Rewriting we have:
(-7x ^ 2 -2x) + x ^ 2
Adding similar terms we have:
-6x ^ 2 - 2x
Answer:
The simplified expression is given by:
-6x ^ 2 - 2x
Answer:
fraction of the wall is limestone is 4/22
or 2/11 as a reduced fraction
Step-by-step explanation:
fraction of the wall is limestone is 4/22
the width is 22 in total
10 inches concrete = 10/22
8 inches brick : 8/22
4 inches limestone : 4/22
10/22+8/22+4/22=22/22=1
