Response:
a. 55 cars
b. 25 cars
Detailed explanation:
Let’s denote the quantity of cars with stereo systems as N(ss), those with air conditioning as N(ac), and those with sunroofs as N(sr).
We find that:
N(ss) = 30
N(ac) = 30
N(sr) = 40
N(ss and ac and sr) = 15
N(at least two) = 30
a.
To calculate how many cars possess at least one feature (N(at least one) or N(ss or ac or sr)), we apply:
N(ss or ac or sr) = N(ss) + N(ac) + N(sr) - N(ss and ac) - N(ss and sr) - N(ac and sr) + N(ss and ac and sr)
N(ss or ac or sr) = 30 + 30 + 40 - (N(at least two) + 2*N(ss and ac and sr)) + 15
Substituting, we find N(ss or ac or sr) = 30 + 30 + 40 - (30 + 2*15) + 15 = 55
b.
For those cars that have exactly one feature, we have:
N(only one) = N(at least one) - N(at least two)
N(only one) = 55 - 30 = 25
Response:
The graph in question is linked to g(x) = -2x, though it is not provided.
Detailed explanation:
A reflection across the y-axis changes the sign of the x-coordinate for every point. To derive the new function, we substitute x with -x:
g(x) = f(-x) = 2(-x) = -2x
This leads us to g(x) = -2x.
The telescope’s cost is $91
4.55 divided by 5% (0.05) equals 91.
Answer:
UB: 375
Step-by-step explanation:
370mm rounded to 2 significant figures is..
UB: 375
LB:365
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