Answer:
Step-by-step explanation:
To solve this problem we must pay attention to the following data supplied:
- f It is the number of figurines that remain to be painted.
- t amount of time, in minutes, that Colin spends painting
- Colin takes 20 minutes painting each figurines.
- After painting 60 min, he still has 9 figurines left. f (60) = 9
If he takes 20 minutes painting 1, it means that in 60 minutes he has painted 3 and he has 9 left.
Then, at the beginning he has 9 +3 figurines to be painted.
With these two points we can find the function:
If m is the slope of the line, then:
Where by definition
Finally the formula is:
Answer:
The geometric mean growth rate of sales is 1.4422.
Step-by-step explanation:
We have two sales values, one from 6 years ago and the other from now.
We have to calculate the geometric growth rate of sales.
We have:
We can write the relation between these two values as:
The geometric mean growth rate of sales is 1.4422.
Answer:
he can expect to lose 0.5$
Step-by-step explanation:
To solve this problem we must calculate the expected value of the game.
If x is a discrete random variable that represents the gain obtained when rolling a dice, then the expected value E is:
When throwing a dice the possible values are:
x: 1→ -$9; 2→ $4; 3→ -$9; 4→ $8; 5→ -$9; 6→ $12
The probability of obtaining any of these numbers is:
The gain when obtaining an even number is twice the number.
The loss to get an odd number is $ 9
So the expected gain is:
Answer:
20.
Step-by-step explanation:
This can be solved using combination technique. Since we have to choose 3 out of 6 and their order is not considered. Thus,
6 combination 3
= 6C3
=
=
=
=
= 5*4
= 20 ANSWER