The answer is -1/4
Perpendicular means opposite slope in this type of question
The numbers in this problem are ordered pairs, which are points on a graph.
These are (10, 20), (-10, 20), (-10, -10), and (10, -10).
To find the area and perimeter of this shape, you must first find the distance between each point.
Distance between (10, 20) and (-10, 20):
Since the y-value remains the same here, we just have to find the difference in x-values.
This means 10 - (-10)
A negative being subtracted is the same as a positive being added.
That means 10 - (-10) is the same as 10 + 10.
10 + 10 = 20, so the distance between (10, 20) and (-10, 20) is 20 units.
Distance between (-10, 20) and (-10, -10):
The x-values are the same here so just find the difference between the y-values.
20 - (-10) = 20 + 10 = 30
The distance between the (-10, 20) and (-10, -10) is 30 units.
Distance between (-10, -10) and (10, -10):
The y-values are the same so just find the difference between the x-values.
10 - (-10) = 10 + 10 = 20
The distance between (-10, -10) and (10, -10) is 20 units.
Distance between (10, -10) and (10, 20):
The x-values are the same so find the difference between the y-values.
20 - (-10) = 20 + 10 = 30
The distance between (10, -10) and (10, 20) is 30 units.
So now we know the side lengths of the room are 20 units, 30 units, 20 units, and 30 units.
To find the perimeter, add all the side lengths together.
20 + 30 + 20 + 30 = 100
The perimeter of the room is 100 units.
To find the area, multiply the length by the width.
The length is 20 units and the width is 30 units.
20 • 30 = 600
The area of the room is 600 units.
Final answers:
Perimeter = 100
Area = 600
Hope this helps!
Answer:
a) P(ACME) = 0.7
b) P(ACME/D) = 0.5976
Step-by-step explanation:
Taking into account that ACME manufacturing company makes 70% of the ELTs, if a locator is randomly selected from the general population, the probability that it was made by ACME manufacturing Company is 0.7. So:
P(ACME) = 0.7
Then, the probability P(ACME/D) that a randomly selected locator was made by ACME given that the locator is defective is calculated as:
P(ACME/D) = P(ACME∩D)/P(D)
Where the probability that a locator is defective is:
P(D) = P(ACME∩D) + P(B. BUNNY∩D) + P(W. E. COYOTE∩D)
So, the probability P(ACME∩D) that a locator was made by ACME and is defective is:
P(ACME∩D) = 0.7*0.035 = 0.0245
Because 0.035 is the rate of defects in ACME
At the same way, P(B. BUNNY∩D) and P(W. E. COYOTE∩D) are equal to:
P(B. BUNNY∩D) = 0.25*0.05 = 0.0125
P(W. E. COYOTE∩D) = 0.05*0.08 = 0.004
Finally, P(D) and P(ACME/D) is equal to:
P(D) = 0.0245 + 0.0125 + 0.004 = 0.041
P(ACME/D) = 0.0245/0.041 = 0.5976
