Answer:
11232000 plates can be made.
Step-by-step explanation:
The order of the digits and of the letters is important. For example, ABC is a different configuration than CBA. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
In this question:
3 digits from a set of 10(there are 10 digits from 0 to 9).
3 letters from a set of 26. So
Total:
11232000 plates can be made.
Since the sum of the probabilities of all possible outcomes must be 100%, we can deduce the following:
- Cooking in under 20 minutes: 10%
- Cooking between 20 and 30 minutes: 85%
- Cooking in more than 30 minutes: 5%
In fact, the probabilities of cooking in less than 20 or more than 30 sum up to 15%, which means that the remaining outcome (i.e. cooking time between 20 and 30) must complete this probability to 15, and in fact 15+85=100.
That being said, all three answers are simply a combination of these three scenarios: let C be the cooking time, for aesthetic reasons:
compare the divisor x-3 with x-a which will give a=3 and then use remainder theorem.
First, find the area of both beds!
For Heidi: 5 x 3 = 15
For Andrew: 5 x (3 x 2) = 30 ft
Added together, the beds have an area of 45 feet. To place soil with a depth of 2 feet, simply multiply by 2. You can think of this as finding the volume of the beds, which is length x width x height, or area x height. The answer is 90 cubic feet!
Answer:
-23
Step-by-step explanation:
rearrange to point slope form first
slope can be fine by y2-y1/x2-x1 (im using the first 2 points)
so 13-25 = -12 and -54-(-72) = 18, and the slope is -12/18 which is -2/3
then you can use any point (i used the first point) to create the point slope form which is y-ypoint=slope(x-xpoint) and equation would be y-25=-2/3(x+72)
turn it into slope intercept form by multiplying -2/3 within the equation and adding -25 on both sides
you will get y= -2/3x-23
and the y intercept will be (0, -23)
