![decoreyjpaipxv](/avatars/34800.jpg)
decoreyjpaipxv
14.04.2020 •
Mathematics
Of the cars sold during the month of July, 89 had air conditioning, 99 had an automatic transmission, and 74 had power steering. 5 cars had all three of these extras. 24 cars had none of these extras. 24 cars had only air conditioning, 65 cars had only automatic transmissions, and 26 cars had only power steering. 11 cars had both automatic transmission and power steering.
How many cars had air conditioning and automatic transmission but not power steering?
Solved
Show answers
More tips
- L Leisure and Entertainment How to Identify a Song? Which Program Can Recognize a Song by Its Melody?...
- H Health and Medicine Boosting Immunity: A Complete Guide on How to Improve Your Body’s Natural Defenses...
- C Computers and Internet The Best Antivirus Programs for your PC...
- S Style and Beauty How to Get Rid of Acne: Scientifically Proven Methods...
- H Health and Medicine Simple Ways to Lower Cholesterol in the Blood: Tips and Tricks...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
- A Art and Culture When Will Eurovision 2011 Take Place?...
- S Style and Beauty How to Choose the Perfect Hair Straightener?...
Answers on questions: Mathematics
- M Mathematics Apostal service requires that any box sent by priority mail have length plus girth (distance around) totaling no more than 104 in. one volume that meets this condition is contained...
- M Mathematics At the pet fair, darlene s dog weighted 5 times as much as leah s dog. together, the dogs weighted 84 pounds. how much did each dog weight? complete the bar model. write an equation...
- M Mathematics If slope= 10.5, what does x= and what does y=...
- M Mathematics You can draw a quadrilateral with no parallel lines and at least one right angle. true or false...
- M Mathematics Socks are on sale 4 pairs for $ 5. how much would you pay for 8 pairs of socks...
- M Mathematics Least to greatest 1.45 , 1 1/2, 1 1/3, 1.2...
- M Mathematics what is true for poisson distribution? a. mean and variance are always equal b. mean always greater than variance c. mean always smaller than variance d. none of the above...
- M Mathematics Your neigbor pays you $17 for every 2 hours you work. you work for 8 hours on saturday. how much does your neighbor owe you...
- M Mathematics What is the radius? esther & jim plan to add a pond to there property. the area of the pond is 11 square meters. a) 3 b)√3 c)5/2 d)√7/2...
- M Mathematics An automobile tire has a diameter of 55 cm. what is the circumference of the tire? (use pi equals3.14 as an approximate value.)...
Ответ:
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.
Ответ: