ANSWER
0.756
EXPLANATION
Let x represent number of correct answers.
We can find
which leads us to
which uses the compliment of 
to find the probability of getting at least 2 questions correct.
Note that since 
and 
are mutually exclusive, we have
Then 
as we have 
to answer the questions incorrectly divided by the total 
to answer the questions.
Exactly 1 answer correct: 
Therefore
![\begin{aligned} P(x \ge 2) &= 1 - P(x = 0\text{ or }x =1) \\ &=1 - \big[P(x=0) + P(x=1)\big] \\ &=1 - \left[ (3/4)^{10} + {}_{10}C_1 \cdot (3/4)^9(1/4)^1 \right] \\ &\approx 0.756 \end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%0AP%28x%20%5Cge%202%29%20%26%3D%201%20-%20P%28x%20%3D%200%5Ctext%7B%20or%20%7Dx%20%3D1%29%20%5C%5C%0A%26%3D1%20-%20%5Cbig%5BP%28x%3D0%29%20%2B%20P%28x%3D1%29%5Cbig%5D%20%5C%5C%0A%26%3D1%20-%20%5Cleft%5B%20%283%2F4%29%5E%7B10%7D%20%2B%20%7B%7D_%7B10%7DC_1%20%5Ccdot%20%283%2F4%29%5E9%281%2F4%29%5E1%20%5Cright%5D%20%5C%5C%0A%26%5Capprox%200.756%0A%5Cend%7Baligned%7D%20)
Answer:
What?
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Given that
f(x)=-2x – 1
g(x) = -1/2x+1/2
I The function f( g(x)) = x for all real x.
-2(-1/2X + 1/2) - 1
X - 1 - 1
X - 2
II. The function glAx)) = x for all real x.
- 1/2( -2X - 1 ) + 1/2
X + 1/2 + 1/2
X + 1
III. Functions fand g are inverse functions
Inverse of f(x)
Y = -2x - 1
X = - 2Y - 1
- 2Y = X + 1
Y = - 1/2X - 1/2
Therefore, none of the above answers is correct.
The correct answer is therefore D
Answer:
Not correct
Step-by-step explanation:
A square with a side of 3 inches has a perimeter of 3 + 3 + 3 + 3
= 3 x 4 = 12
So, for two squares, we have
Total perimeter = 12 x 2 = 24
But for a rectangle with 6 inches length and 3 inches width,
Perimeter = 6 + 6 + 3 + 3 = 18
