Answer:
3
Step-by-step explanation:
Evaluate the limit n - > ∞ 12n^3 - 2n^2 + 9 / 4n^3
Divide the expression by the highest power of n to have
limit n - > ∞ 12n³/n³ - 2n²/n³ + 9/n³ / 4n³/n³
= limit n - > ∞12 - 2/n + 9/n³ / 4
Substitute the value of n
= 12 - 2/∞ + 9/∞³ / 4
Since a/∞ = 0
The expression becomes;
= 12 - 0+ 0/4
= 12/4
= 3
Hence the required limit is 3
Answer:
y=3/2x +2
Step-by-step explanation:
Rise/run + y-intercept
Answer:
A. 109
Step-by-step explanation:
We know that since AB = CB, then ΔABC is isosceles.
Since AC, one of the sides of ΔABC, is on the diameter of circle D, by definition, we know that ΔABC is also a right triangle. Thus, if ΔABC is an isosceles right triangle, then ∠BAC = ∠BCA = 45°.
Draw a line connecting D to B so that we now have isosceles triangle BDC. Since arc BC is 52°, by definition of central angles, ∠BDC is also equal to 52°. Then, ∠DBC = ∠DCB = (180 - 52)/2 = 64°.
∠BCE = ∠DCB + ∠BCA
∠BCE = 64 + 45 = 109°
The answer is thus A.
<em>~ an aesthetics lover</em>
Definitely, its volume is greater than the original cylinder. Hope it help!
Answer:
Step-by-step explanation:
Garrett achieves a field goal is independent of each kick. Hence X no of kicks is binomial with p = 0.83, and q =0.17
No of trials 3
Hence X can take values as 0 ,1,2,3 and
, r=0,1,2,3
Using the above we obtain prob distribution as
X 0 1 2 3
P(X) 0.0049 0.0720 0.3513 0.5718
P(X>=2) =P(X=2,3,4) =0.9231
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2) Z value for company A =
Z value for company B = 
From z value probablility is more for company A as
P(Z>-2.22) >P(Z>2.89)
