Answer:
There are a total of 23 cars with air conditioning and automatic transmission but not power steering
Step-by-step explanation:
Let A be the cars that have Air conditioning, B the cars that have Automatic transmission and C the cars that have pwoer Steering. Lets denote |D| the cardinality of a set D.
Remember that for 2 sets E and F, we have that
Also,
|E| = |E ∩F| + |E∩F^c|
We now alredy the following:
|A| = 89
|B| = 99
|C| = 74
|(A \cup B \cup C)^c| = 24
|A \ (B U C)| = 24 (This is A minus B and C, in other words, cars that only have Air conditioning).
|B \ (AUC)| = 65
|C \ (AUB)| = 26
We want to know |(A∩B) \ C|. Lets calculate it by taking the information given and deducting more things
For example:
99 = |B| = |B ∩ C| + |B∩C^c| = 11 + |B∩C^c|
Therefore, |B∩C^c| = 99-11 = 88
And |A ∩ B ∩ C^c| = |B∩C^c| - |B∩C^c∩A^c| = |B∩C^c| - |B \ (AUC)| = 88-65 = 23.
This means that the amount of cars that have both transmission and air conditioning but now power steering is 23.
Answer:PLEASE HELP ME
Step-by-step explanation:
here can you guys please help me with this question.
I have been asking help from so many people but no one is nice enough to give it so im hoping that anyone over here can help me. this is the problem
Carl is standing at the base of a zip line which is 400 ft away from the base of the building that is connected to the top of a building. Standing 5.5 ft tall, he looks up to the top of the building at an angle of elevation of 25 degrees. A weight is released and travels down the zip line to his feet. How far did the weight travel? Round to nearest 10th of a foot and do not use units in your answer.
Please show work
11 days for the second question
Answer:
y+8=-2(x-4)
Step-by-step explanation:
point-slope form is y-y1=m(x-x1) where m is the slope, and (x1,y1) is a point.
We are given all of that information:
slope: -2
point: (4,-8)
substitute the numbers into the equation
y--8=-2(x-4)
we can make --8 to positive 8
so:
y+8=-2(x-4)
this is the equation in point-slope form
Hope this helps!
Commutative i believe <span />
