Answer:
y = M X + B
Step-by-step explanation:
y - y1 = m (x - x1)
x1 = 2
y1 = 5
m = 1/7
y - 5 = (1/7) (x - 2)
Answer:
Probability that the proportion of airborne viruses in a sample of 529 viruses would be greater than 8% is 0.9545.
Step-by-step explanation:
For the given population the distribution of air-borne viruses is given as 6%. Now for this the value of Z score is given as
![Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}](https://tex.z-dn.net/?f=Z%3D%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7B%5Chat%7Bp%7D%281-%5Chat%7Bp%7D%29%7D%7Bn%7D%7D%7D)
Here
is the sample measure which is 8% or 0.08- p is the population measure which is 6% or 0.06
- n is the number of samples which is 529
So the Z score is given as
![Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}\\Z=\dfrac{0.08-0.06}{\sqrt{\dfrac{0.08(1-0.08)}{529}}}\\Z=\dfrac{0.02}{\sqrt{\dfrac{0.08(0.92)}{529}}}\\Z=\dfrac{0.02}{\sqrt{\dfrac{0.0736}{529}}}\\Z=\dfrac{0.02}{0.01179}\\Z=1.6955](https://tex.z-dn.net/?f=Z%3D%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7B%5Chat%7Bp%7D%281-%5Chat%7Bp%7D%29%7D%7Bn%7D%7D%7D%5C%5CZ%3D%5Cdfrac%7B0.08-0.06%7D%7B%5Csqrt%7B%5Cdfrac%7B0.08%281-0.08%29%7D%7B529%7D%7D%7D%5C%5CZ%3D%5Cdfrac%7B0.02%7D%7B%5Csqrt%7B%5Cdfrac%7B0.08%280.92%29%7D%7B529%7D%7D%7D%5C%5CZ%3D%5Cdfrac%7B0.02%7D%7B%5Csqrt%7B%5Cdfrac%7B0.0736%7D%7B529%7D%7D%7D%5C%5CZ%3D%5Cdfrac%7B0.02%7D%7B0.01179%7D%5C%5CZ%3D1.6955)
For this the score, the value of probability is calculated from the table as below:
![P(\hat{p}>0.08)=p(Z>1.6955)\\=1-p(Z](https://tex.z-dn.net/?f=P%28%5Chat%7Bp%7D%3E0.08%29%3Dp%28Z%3E1.6955%29%5C%5C%3D1-p%28Z%3C-1.6955%29)
Here value of p(Z<-1.6955) is given as 0.0455
![P(\hat{p}>0.08)=p(Z>1.6955)\\P(\hat{p}>0.08)=1-p(Z0.08)=1-0.0455\\P(\hat{p}>0.08)=0.9545](https://tex.z-dn.net/?f=P%28%5Chat%7Bp%7D%3E0.08%29%3Dp%28Z%3E1.6955%29%5C%5CP%28%5Chat%7Bp%7D%3E0.08%29%3D1-p%28Z%3C-1.6955%29%5C%5CP%28%5Chat%7Bp%7D%3E0.08%29%3D1-0.0455%5C%5CP%28%5Chat%7Bp%7D%3E0.08%29%3D0.9545)
True false true cause look it up and you will figure it out
Answer:
It would be a 70%
Step-by-step explanation:
Convert fraction (ratio) 42 / 60 Answer: 70%