Answer:a) 54/55
b) 100/110
c) 99/110
Step-by-step explanation:
a)Probability of ordering 4= 9/12×3/11×2/10×1/9 = 54/11880
Probability of 4 good units= 4 × 54/11880
= 216/11880
1/55
1-(1/55) = 54/55
b)Probability of 2 good units= 2 × 54/(11880)
= 108/11880
= 1/110
1- (1/110)= 100/110
c) Probability of exactly 2 units not good= 1 -(100/110) =99/110
Answer: (f-g)(2)=14
Step-by-step explanation:
(f – g) (-2) means the same as subtracting f(2) and g(2). Since we are given f(x) and g(x), we can use them to solve. There are two ways to solve. One is to find f(2) and g(2), and then subtract them. Another way is to do (f-g)(x), then plug in x=2. I will show both methods.
Method 1
f(2)=3(2)²+1 [exponent]
f(2)=3(4)+1 [multiply]
f(2)=12+1 [add]
f(2)=13
g(2)=1-(2) [subtract]
g(2)=-1
(f-g)(2)=13-(-1) [subtract f(2) and g(2)]
(f-g)(2)=14
--------------------------------------------------------------------------------------------------------
Method 2
(f-g)(x)=3x²+1-(1-x) [distribute -1]
(f-g)(x)=3x²+1-1+x [combine like terms]
(f-g)(x)=3x²+x
(f-g)(2)=3(2)²+2 [plug in x=2, exponent]
(f-g)(2)=3(4)+2 [multiply]
(f-g)(2)=12+2 [add]
(f-g)(2)=14
--------------------------------------------------------------------------------------------------------
Now, we know that (f-g)(2)=14. We confirmed this with both methods.
Answer: The fourth one
Step-by-step explanation:
Answer:
i believe it is (3,6) im not 100% sure though
Step-by-step explanation:
The formula
in solving the integral of the infinity of 3 is ∫3<span>∞?</span>(1<span>)÷((</span>x−2<span><span>)<span><span>(3/</span><span>2)</span></span></span>)</span><span>dx</span>
Substitute the numbers given
then solve
limn→inf∫3n(1/((n−2)(3/2))dn
limn→inf[−2/(n−2−−−−−√)−(−2/3−2−−−−√)
=0+2=2
Solve for the integral of 2 when 2 is approximate to 0.
Transpose 2 from the other side to make it -2
∫∞3(x−2)−3/2dx=(x−2)−1/2−1/2+C
(x−2)−1/2=1x−2−−−−√
0−(3−2)−1/2−1/2=2
<span> </span>