Given:
Number of red marbles = 4
Number of blue marbles = 8
Number of yellow marbles = 6
Number of green marbles = 2
To find:
The probability of getting a blue marble then a red marble, i.e., P(blue, red).
Solution:
Using the given information,
The total number of marbles = 4+8+6+2
= 20
Probability of getting a blue marble in first draw is
Maria selects a marble, puts it back and then selects a second marble. It means the total number of marbles remains the same.
Now, the probability of getting a blue marble then a red marble is
Therefore, the required probability P(blue, red) is 
.
Using proportions, it is found that it takes 886 more mini-bears than regular-bears to have the same weight as one super-bear.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
10 mini-bears weights to 12.1 grams, hence the weight of a mini-bear is of:
12.1/10 = 1.21 grams.
10 regular bears weights to 23.1 grams, hence the weight of a regular bear is of:
23.1/10 = 2.31 grams.
1 super bear weights to 2250 grams, hence the proportion between the <u>weight of a super bear and the weight of a mini-bear</u> is:
2250/1.21 = 1860.
The proportion between the <u>weight of a super bear and the weight of a regular bear</u> is:
2250/2.31 = 974.
The difference of proportions is given by:
1860 - 974 = 886.
It takes 886 more mini-bears than regular-bears to have the same weight as one super-bear.
More can be learned about proportions at brainly.com/question/24372153
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The exact calculations:
Principal, P=3000
interest rate = 33% per year
Period, t=10 years
Future value
Interest
= future value - principal
= 81337.92-3000
=
78337.92 (to the nearest cent)
