i’m not sure but try googling or looking on slader
Answer:
angle 1 is 140 degrees and angle 2 is 70 degrees
Step-by-step explanation:
it is two parallel lines with an intersecting line. This means that the two angles will be the same. Your welcome btw ur mom is hot
Answer:
a) Binomial.
b) n=20, p=0.01, k≥2
The probability hat a package sold will be refunded is P=0.0169.
Step-by-step explanation:
a) We know that
- the defective probability is constant and independent.
- the sample size is bigger than one subject.
The most appropiate distribution to represent this random variable is the binomial.
b) The parameters are:
- Sample size (amount of clips in the package): n=20
- Probability of defective clips: p=0.01.
- number of defective clips that trigger the money-back guarantee: k≥2
The probability of the package being refunded can be calculated as:
![P(x\geq2)=1-(P(x=0)+P(x=1))\\\\\\P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}\\\\\\P(x=0) = \dbinom{20}{0} p^{0}q^{20}=1*1*0.8179=0.8179\\\\\\P(x=1) = \dbinom{20}{1} p^{1}q^{19}=20*0.01*0.8262=0.1652\\\\\\P(x\geq2)=1-(0.8179+0.1652)=1-0.9831=0.0169](https://tex.z-dn.net/?f=P%28x%5Cgeq2%29%3D1-%28P%28x%3D0%29%2BP%28x%3D1%29%29%5C%5C%5C%5C%5C%5CP%28x%3Dk%29%20%3D%20%5Cdbinom%7Bn%7D%7Bk%7D%20p%5E%7Bk%7Dq%5E%7Bn-k%7D%5C%5C%5C%5C%5C%5CP%28x%3D0%29%20%3D%20%5Cdbinom%7B20%7D%7B0%7D%20p%5E%7B0%7Dq%5E%7B20%7D%3D1%2A1%2A0.8179%3D0.8179%5C%5C%5C%5C%5C%5CP%28x%3D1%29%20%3D%20%5Cdbinom%7B20%7D%7B1%7D%20p%5E%7B1%7Dq%5E%7B19%7D%3D20%2A0.01%2A0.8262%3D0.1652%5C%5C%5C%5C%5C%5CP%28x%5Cgeq2%29%3D1-%280.8179%2B0.1652%29%3D1-0.9831%3D0.0169)
Answer:
-12 / 17
Step-by-step explanation:
x | -1 | 2 | 5 | 8 |
-----------------------
y | 3 | -1 | -5 | -9 |
Piking the poits at the extreme:
x1 = - 1 ; y1 = 3
x2 = 8 ; y2 = - 9
Slope = Rise / Run
Rise = y2 - y1 = - 9 - 3 = - 12
Run = x2 - x1 = 8 - (-9) = 8 + 9 = 17
Hence,
Slope = - 12 / 17