The domain is the range of the x-axis. In this situation the x range from 0 to 11, so the domain is D.
Answer:
204/325
Step-by-step explanation:
You can work this a couple of ways. We expect you are probably expected to use trig identities.
cos(A) = √(1 -sin²(A)) = 24/25
sin(B) = √(1 -cos²(B)) = 12/13
cos(A -B) = cos(A)cos(B) +sin(A)sin(B) = (24/25)(5/13) +(7/25)(12/13)
= (24·5 +7·12)/325
cos(A -B) = 204/325
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The other way to work this is using inverse trig functions. It is necessary to carry the full calculator precision if you want an exact answer.
cos(A -B) = cos(arcsin(7/25) -arccos(5/13)) = cos(16.2602° -67.3801°)
= cos(-51.1199°) ≈ 0.62769230 . . . . (last 6 digits repeating)
The denominators of 25 and 13 suggest that the desired fraction will have a denominator of 25·13 = 325, so we can multiply this value by 325 to see what we get.
325·cos(A-B) = 204
so, the exact value is ...
cos(A -B) = 204/325
Answer:
The probability that at most 7 favor the new tax is 0.7869
Step-by-step explanation:
Total number of voting resident = 10000
number of voting resident against new sales tax = 4000
therefore probability of choosing a voting resident against new sales tax = 4000/10000 = 0.4
If 15 eligible voters are selected at random and asked their opinion, what is the probability that at most 7 favor the new tax
Using binomial,
number of selected voters(n) =15,
p=0.4
P(x<=0.7) = binomialcdf(15, 0.4, 7)
Using your calculator
P(x<=0.7) = binomialcdf(15, 0.4, 7) = 0.7869
This should be g(x) = 12x - 8, as multiplying 3 by 4 increases the slope.
9514 1404 393
Answer:
B. line AB
Step-by-step explanation:
The terminal point must be named first when naming a ray.
The vertex must be named in the middle when naming an angle.
The order of points does not matter when naming a line.
