It would be 187 degrees, just gotta measure
Answer:
probability that none of the solar panels are defective = 0.97
Step-by-step explanation:
Proportion of solar panels that are defective, p = 1/200 = 0.005
Proportion of solar panels that are not defective, q = 1 - p = 1 - 0.005
q = 0.995
Sample size, n = 6
probability that none of the solar panels are defective, P(X=0)
Note: ![P(X=r) = nCr p^{r} q^{n-r}](https://tex.z-dn.net/?f=P%28X%3Dr%29%20%3D%20nCr%20p%5E%7Br%7D%20q%5E%7Bn-r%7D)
![P(X=0) = 6C0 * 0.005^{0} * 0.995^{6-0}\\P(X=0) = 6C0 * 0.005^{0} * 0.995^{6}\\P(X=0) = 1 * 1 * 0.9704\\P(X=0) = 0.97](https://tex.z-dn.net/?f=P%28X%3D0%29%20%3D%206C0%20%2A%200.005%5E%7B0%7D%20%2A%200.995%5E%7B6-0%7D%5C%5CP%28X%3D0%29%20%3D%206C0%20%2A%200.005%5E%7B0%7D%20%2A%200.995%5E%7B6%7D%5C%5CP%28X%3D0%29%20%3D%201%20%2A%201%20%2A%200.9704%5C%5CP%28X%3D0%29%20%3D%200.97)
Answer:
![y = 7.5](https://tex.z-dn.net/?f=y%20%3D%207.5)
Step-by-step explanation:
Given
Direct variation implies that:
![y = kx](https://tex.z-dn.net/?f=y%20%3D%20kx)
Where k is the constant of variation.
![x=4; y=3](https://tex.z-dn.net/?f=x%3D4%3B%20y%3D3)
Required
Find y when ![x = 10](https://tex.z-dn.net/?f=x%20%3D%2010)
![y = kx](https://tex.z-dn.net/?f=y%20%3D%20kx)
Make k the subject
![k = \frac{y}{x}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7By%7D%7Bx%7D)
For: ![x=4; y=3](https://tex.z-dn.net/?f=x%3D4%3B%20y%3D3)
![k = \frac{3}{4}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B3%7D%7B4%7D)
For: ![x = 10](https://tex.z-dn.net/?f=x%20%3D%2010)
becomes
![k = \frac{y}{10}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7By%7D%7B10%7D)
Substitute ![k = \frac{3}{4}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B3%7D%7B4%7D)
![\frac{3}{4} = \frac{y}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20%3D%20%5Cfrac%7By%7D%7B10%7D)
Make y the subject
![y = \frac{3}{4} * 10](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B3%7D%7B4%7D%20%2A%2010)
![y = \frac{3* 10}{4}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B3%2A%2010%7D%7B4%7D)
![y = \frac{30}{4}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B30%7D%7B4%7D)
![y = 7.5](https://tex.z-dn.net/?f=y%20%3D%207.5)
Answer:
Step-by-step explanation:
From the given information,
Suppose
X represents the Desktop computer
Y represents the DVD Player
Z represents the Two Cars
Given that:
n(X)=275
n(Y)=455
n(Z)=405
n(XUY)=145
n(YUZ)=195
n(XUZ)=110
n((XUYUZ))=265
n(X ∩ Y ∩ Z) = 1000-265
n(X ∩ Y ∩ Z) = 735
n(X ∪ Y) = n(X)+n(Y)−n(X ∩ Y)
145 = 275+455 - n(X ∩ Y)
n(X ∩ Y) = 585
n(Y ∪ Z) = n(Y) + n(Z) − n(Y ∩ Z)
195 = 455+405-n(Y ∩ Z)
n(Y ∩ Z) = 665
n(X ∪ Z) = n(X) + n(Z) − n(X ∩ Z)
110 = 275+405-n(X ∩ Z)
n(X ∩ Z) = 570
a. n(X ∪ Y ∪ Z) = n(X) + n(Y) + n(Z) − n(X ∩ Y) − n(Y ∩ Z) − n(X ∩ Z) + n(X ∩ Y ∩ Z)
n(X ∪ Y ∪ Z) = 275+455+405-585-665-570+735
n(X ∪ Y ∪ Z) = 50
c. n(X ∪ Y ∪ C') = n(X ∪ Y)-n(X ∪ Y ∪ Z)
n(X ∪ Y ∪ C') = 145-50
n(X ∪ Y ∪ C') = 95
This is a a reflective property because it is an if then statement.