Answer:
3. 48
4. 1.8
Step-by-step explanation:
For the first one you multiply six by eight which is forty-eight
For the second problem you divide by eight since you are downscaling and 15/8 is 1.8
Answer:
A rectangle is a two - dimensional shape, so let me explain using it as an example.
The diagonal of a rectangle divides the rectangle into two triangles that are congruent (the same size and shape.)
Another example is parallelogram; the diagonal of a parallelogram also divides the figure into two separate shapes that are congruent.
Hope this helps!
Answer:
a. What is the probability that Carl arrives first?
Probability that Carl arrives first is ¹/₃ = 33.33% since their arrival times is uniformly distributed. The same probability applies to Bob and Alice.
b. What is the probability that Carl will have to wait more than 10 minutes for one of the others to show up?
Assuming that Carl arrived on time, 1:10 PM, we must determine the probability that Alice or Bob arrive between 1:20 and 1:30 (half the remaining time)
P = [3 · (¹/₂ - ¹/₃)] · [3 · (¹/₂ - ¹/₃)] = (3 · ¹/₆) · (3 · ¹/₆) = ¹/₂ · ¹/₂ = ¹/₄ = 25% chance that either Alice or Bob arrive more than 10 minutes later
c. What is the probability that Carl will have to wait more than 10 minutes for both of the others to show up?
P = 1 - 25% = 75%
d. What is the probability that the person who arrives second will have to wait more than 5 minutes for the third person to show up?
I divided the 20 minutes by 5 to get ¹/₄:
P (|S - T| ≤ ¹/₄) = {[(x + ¹/₄)²] / 2} + (1 / 2x) + {[(⁵/₄ - x)²] / 2} = 0.09375 + 0.25 + 0.09375 = 0.4375 = 43.75%
1. -35k+28
2. ?
3. 5n+35
4. 12r-32
5. -90x+-10
6. 15x+15
Answer:
Option A The volume of water in the pond after x days
Step-by-step explanation:
Let
y ------> the volume of water in the pond
x -----> the number of days
we know that
The linear equation that represent this problem is
This is the equation of the line in slope intercept form
where
the slope is
the y-intercept is
----> initial volume of water in the pond
therefore
The expression represent
The volume of water in the pond after x days
