See attached picture.
Break the shape up into 4 different shapes and find the seperate areas then add them together.
Answer = C. 146
Answer:
I hate to do and take the points but so we just got to find the angles?
Answer:
The amount of paint used in the birdhouse = (1/4) of paint
Step-by-step explanation:
The amount of paint used in first go = 3/8
The amount of pain used in second go = 1/4
The amount of paint used in bird house = k
The amount paint left = 1/8
Now, according to the question:
Paint used in ( First go + second go + Birdhouse) + Paint left = 1 can Paint
⇒![\frac{3}{8} + \frac{1}{4} + k + \frac{1}{8} = 1\\\implies \frac{3 + 1(2) + 1}{8} + k = 1\\ \frac{6}{8} + k = 1 \\\implies k = 1 - \frac{6}{8} = \frac{8-6}{8} = \frac{2}{8} = \frac{1}{4} \\\implies k = \frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B8%7D%20%20%2B%20%5Cfrac%7B1%7D%7B4%7D%20%2B%20k%20%2B%20%5Cfrac%7B1%7D%7B8%7D%20%20%20%20%3D%201%5C%5C%5Cimplies%20%5Cfrac%7B3%20%2B%201%282%29%20%2B%201%7D%7B8%7D%20%2B%20k%20%3D%201%5C%5C%20%5Cfrac%7B6%7D%7B8%7D%20%2B%20k%20%3D%201%20%5C%5C%5Cimplies%20k%20%3D%201%20-%20%5Cfrac%7B6%7D%7B8%7D%20%20%3D%20%5Cfrac%7B8-6%7D%7B8%7D%20%20%3D%20%5Cfrac%7B2%7D%7B8%7D%20%20%3D%20%5Cfrac%7B1%7D%7B4%7D%20%5C%5C%5Cimplies%20k%20%3D%20%5Cfrac%7B1%7D%7B4%7D)
or, The amount of paint used in the birdhouse = (1/4)
The number of throws that the player make X follows binomial distribution.
The probability that the player makes x throws out of eleven throws is
![P(X=x)=C(x,11)0.5^x(0.5)^{11-x}=C(x,11)0.5^{11}](https://tex.z-dn.net/?f=%20P%28X%3Dx%29%3DC%28x%2C11%290.5%5Ex%280.5%29%5E%7B11-x%7D%3DC%28x%2C11%290.5%5E%7B11%7D%20)
The probability that the player makes at most nine out of eleven free throws
is
![\sum_{x=0}^9C(x,11)0.5^{11}=1-\sum_{x=10}^{11}C(x,11)0.5^{11}\\ =1-C(10,11)0.5^{11}-C(11,11)0.5^{11}=1-\frac{12}{2^{11}} \\ =1-\frac{3}{512} =\frac{509}{512}](https://tex.z-dn.net/?f=%20%5Csum_%7Bx%3D0%7D%5E9C%28x%2C11%290.5%5E%7B11%7D%3D1-%5Csum_%7Bx%3D10%7D%5E%7B11%7DC%28x%2C11%290.5%5E%7B11%7D%5C%5C%20%3D1-C%2810%2C11%290.5%5E%7B11%7D-C%2811%2C11%290.5%5E%7B11%7D%3D1-%5Cfrac%7B12%7D%7B2%5E%7B11%7D%7D%20%5C%5C%20%3D1-%5Cfrac%7B3%7D%7B512%7D%20%3D%5Cfrac%7B509%7D%7B512%7D%20%20)
Correct choice is (B).