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:
600
Step-by-step explanation:
round 2,545 to 2,400 and keep 4 the same because 24 goes into 4 six times so 2400/4 equals 600
24/4 is 6 and you add the two zeros
You subtract 16 from each side of the equation.
Then it will say exactly what number 'n' is.
_______________________________________
The equation is n + 16 = 9
On the left side, you subtract 16 from (n + 16) and you have 'n'.
On the right side, you subtract 16 from 9 and you have -7 .
Now the equation says n = -7
By taking square root of a number using calculator
Answer:
Second factor is (x - 2).
Step-by-step explanation:
The given polynomial is 3x² -10x + 8 has a factor (3x - 4) and we have to find the other factor.
Now we will factorize the given polynomial to get the other factor.
3x² - 10x + 8
[ Here 8×3 = 24( multiplication of constant term 8 and coefficient of highest degree term) and 6 + 4 = 10 ]
= 3x² - 6x - 4x + 8
= 3x(x - 2) - 4(x - 2)
= (3x -4)(x -2)
In this factorized form we get two factors as (3x -4) and (x -2).
Therefore the second factor is (x - 2).