1. The probability that we select a red marble is 1/3.
We found this out by taking the amount of red marbles there are and the total amount of marbles. The total amount of marbles is 18 and there are red marbles. So, it would become 6 out of 18 or 6/18. Then, we simplify 6/18 to the simplest form. The greatest common factor of both of those numbers is 6. Lastly, we divide each of them by 6 to get the simplest form.
6/18 = (6/6)/(18/6)
(6/6)/(18/6) = 1/3
So, therefore, the theoretical probability of picking a red marble is 1/3.
2. The probability that we select a blue marble is 2/3.
We can find this out by taking the amount of blue marbles there are and the total amount of marbles. We know that the total amount of marble is 18 and there are 12 blue marbles. So, we simply get the GCF (greatest common factor) and divide them by it.
Greatest Common Factor of 12 and 18 = 6
12/18 = (12/6)/(18/6)
(12/6)/(18/6) = 2/3
Thus, the theoretical probability of picking a blue marble is 2/3.
We know that
The formula for combinations is
C=n!/[(n-r)!*r!]
where
n is the total number of objects you choose from
r is the number that you choose to arrange
in this problem
n=15 students
r=4 students
C=15!/[(15-4)!*4!]-----> C=15!/[11!*4!]---> (15*14*13*12*11!)/(11!*4*3*2*1)
C=(15*14*13*12)/(24)----->C=1365
the answer is
1365
Answer:
The total number of trees the farmer planted = 1056 trees
Step-by-step explanation:
It is given that,
A tree farmer Planet 3 types of trees on 22 acres of land and,
he planted 48 trees per acre
<u>To find total number of plants</u>
There are 22 acres of land.
In one acre he planted 48 trees.
Therefore total number of plants in 22 acers = 22 * 48 = 1056 trees
Answer:
<u>$15,000</u> is the amount to spend on marketing in the month of March.
Step-by-step explanation:
Given:
You have a monthly budget percentage of 5% for marketing.
Your projected sales for the month of March are $300,000.
Now, to find the amount spend on marketing:
Rate of marketing = 5%.
Projected sales for the month of March = $300,000.
Now, to get the amount spend on marketing in March:
<u><em>5% of $300,000.</em></u>
Therefore, $15,000 is the amount to spend on marketing in the month of March.
