Answer:
The midpoint is (4,3)
Step-by-step explanation:
I attached the midpoint formula.
<u>( -1 + 9 )</u> <u>( 4 + 2 )</u>
2 2
8 / 2 = 4 6 / 2 = 3
(4,3)
Answer:
For the diagram to be a parallelogram, then the measure of x is 4
Step-by-step explanation:
If the diagram is a parallelogram, then the diagonals bisect each other
What this mean is that they divide each other into 2
Mathematically, this means that the values AC is divided into two equal parts AE and CE
That means;
5x + 28 = 3x + 36
5x-3x = 36-28
2x = 8
x = 8/2
x = 4
Answer:
70, 105, 140
Step-by-step explanation:
Since density is the ratio of mass to (in this case) area, we can find the mass of the triangular region
by computing the double integral of the density function over
:

The boundary of
is determined by a set of lines in the
plane. One way to describe the region
is by the set of points,

So the mass is




Answer:
The answer is 29/42
Step-by-step explanation:
First, let's calculate how many people predicted they would fail. The question states that 65 people took the exam and 23 predicted they would pass, so we can find the number of people that predicted they would fail by the following calculation:
Let FP be the people who predicted they'd fail
65 = 23 + FP
65 - 23 = FP
42 = FP
Now, let's move on to the next part. The question states that a total of 31 people passed the test, from those 18 being the people who predicted they would pass and the rest are people who had predicted they would fail but ended up passing.
Let's set x as the number of people who predicted they would fail but have passed.
31 = 18 + x
31 - 18 = x
13 = x
Since 13 of the 42 FP have passed, we can calculate how many of them failed. Let y be the number of people that predicted to fail and ended up failing:
13 + y = 42
y = 42 - 13
y = 29
Finally, now we have the fraction of those who predicted that they would fail actually did fail and that's 29/42