Answer:
Step-by-step explanation to be honest probably 12 if not i’m so sorry
Answer:
The probability that exactly one switch is good is
![P(x) =0.0392](https://tex.z-dn.net/?f=P%28x%29%20%3D0.0392)
Step-by-step explanation:
The probability that a switch is defective is:
![P(D) = \frac{2}{100} =0.02](https://tex.z-dn.net/?f=P%28D%29%20%3D%20%5Cfrac%7B2%7D%7B100%7D%20%3D0.02)
The probability that a switch is not defective is
![P(D') = 1-P(D)=0.98](https://tex.z-dn.net/?f=P%28D%27%29%20%3D%201-P%28D%29%3D0.98)
Therefore, if two switches are selected, the probability that exactly 1 is good is:
![P(1=1)=P (D) P (D ') + P (D') P (D)](https://tex.z-dn.net/?f=P%281%3D1%29%3DP%20%28D%29%20P%20%28D%20%27%29%20%2B%20P%20%28D%27%29%20P%20%28D%29)
![P(x)=(0.02)(0.98) + (0.98)(0.02)](https://tex.z-dn.net/?f=P%28x%29%3D%280.02%29%280.98%29%20%2B%20%280.98%29%280.02%29)
![P(x) =0.0392](https://tex.z-dn.net/?f=P%28x%29%20%3D0.0392)
Sin51=y/12
y=12sin51 units
y≈9.33 units (to nearest hundredth of a unit)
...
tanα=12/5
α=arctan2.4°
α≈67.38° (to nearest hundredth of a degree)
...
tan13=x/24
x=24tan13 units
x≈5.54 units (to nearest hundredth of a unit)
...
sin20=10/x
x=10/sin20 units
x≈29.24 units (to nearest hundredth of a unit)
Answer:
y=-1/2x+2
the y-intercept is at 2 and the slope is -1/2
meaning the y coordinates with move down 1 while the x coordinates will move 2 in a positive (right) direction