(Car Sales) Of the cars sold during the month of July, 88 had air conditioning, 96 had automatic transmission, and 76 had power
steering. 4 cars had all three of these extras. 19 cars had none of these extras. 23 cars had only air conditioning, 61 cars had only automatic transmissions, and 28 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?
a) 37
b) 4
c) 7
d) 28
e) 24
a) 37
b) 4
c) 7
d) 28
e) 24
2 answers:
Answer:
Option E.
Step-by-step explanation:
Given information:
Air conditioning = 88
Automatic transmission = 96
power steering = 76
All three = 4
None of these extras = 19
Only air conditioning = 23
Only automatic transmissions = 61
Only power steering = 28
Both automatic transmission and power steering = 11
Place these values and draw a venn diagram as shown below.
Calculation for missing values:
From the given diagram it is clear that the number of cars that had air conditioning and automatic transmission but not power steering is 24.
Therefore, the correct option is E.
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Answer:
The maximum variance is 250.
Step-by-step explanation:
Consider the provided function.
Differentiate the above function as shown:
The double derivative of the provided function is:
To find maximum variance set first derivative equal to 0.
The double derivative of the function at is less than 0.
Therefore, is a point of maximum.
Thus the maximum variance is:
Hence, the maximum variance is 250.