<span>The surface area of a sphere is equal to [4 x Pi x R^2]. In other words, four multiplied by 3.14 multiplied by the radius squared. If the radius of a sphere is 15 yards, the approximate surface area is [4 x 3.14 x (15x15)] = [12.5 x 225] = [2,812 yd^2]. The surface area of a sphere with radius 15 yd is approximately 2,800 yards.</span>
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
Answer:
The interest on the savings account is $46.47
Step-by-step explanation:
Here, we want to know the interest earned on the savings account.
The difference between the new and previous balance will be; 12,098.12 - 9,053.20 = $3,044.92
The difference between amount deposited and amount withdrawn is 3,298.45 - 300 = 2,998.45
This is the amount that is supposed to be on the account without interest
So the interest earned would be; 3044.92 - 2,998.45 = $46.47
Answer:
Step-by-step explanation:
Gg
Answer:
this answer should be -6x - 3
Step-by-step explanation: