The place value of 7 in 0.724 is the tenth place.
Answer:
![log7](https://tex.z-dn.net/?f=log7)
Step-by-step explanation:
when adding logs, apply the log rule: ![\log _a\left(x\right)+\log _a\left(y\right)=\log _a\left(xy\right)](https://tex.z-dn.net/?f=%5Clog%20_a%5Cleft%28x%5Cright%29%2B%5Clog%20_a%5Cleft%28y%5Cright%29%3D%5Clog%20_a%5Cleft%28xy%5Cright%29)
∴ ![\log\left(\frac{14}{3}\right)+\log\left(\frac{11}{5}\right)=\log\left(\frac{14}{3}\cdot \frac{11}{5}\right)](https://tex.z-dn.net/?f=%5Clog%5Cleft%28%5Cfrac%7B14%7D%7B3%7D%5Cright%29%2B%5Clog%5Cleft%28%5Cfrac%7B11%7D%7B5%7D%5Cright%29%3D%5Clog%5Cleft%28%5Cfrac%7B14%7D%7B3%7D%5Ccdot%20%5Cfrac%7B11%7D%7B5%7D%5Cright%29)
when subtracting logs, apply the log rule: ![\log _a\left(x\right)\:-\:\log _a\left(y\right)=\log _a\left(\frac{x}{y}\right)](https://tex.z-dn.net/?f=%5Clog%20_a%5Cleft%28x%5Cright%29%5C%3A-%5C%3A%5Clog%20_a%5Cleft%28y%5Cright%29%3D%5Clog%20_a%5Cleft%28%5Cfrac%7Bx%7D%7By%7D%5Cright%29)
![\log\left(\frac{14}{3}\cdot \frac{11}{5}\right)-\log\left(\frac{22}{15}\right)=\log\left(\frac{\frac{14}{3}\cdot \frac{11}{5}}{\frac{22}{15}}\right)\\\\=\log\left(7\right)](https://tex.z-dn.net/?f=%5Clog%5Cleft%28%5Cfrac%7B14%7D%7B3%7D%5Ccdot%20%5Cfrac%7B11%7D%7B5%7D%5Cright%29-%5Clog%5Cleft%28%5Cfrac%7B22%7D%7B15%7D%5Cright%29%3D%5Clog%5Cleft%28%5Cfrac%7B%5Cfrac%7B14%7D%7B3%7D%5Ccdot%20%5Cfrac%7B11%7D%7B5%7D%7D%7B%5Cfrac%7B22%7D%7B15%7D%7D%5Cright%29%5C%5C%5C%5C%3D%5Clog%5Cleft%287%5Cright%29)
We are given with
x1 = 20 min
s1 = 2 min
x2 = 30 min
s2 = 4 min
p = 0.9
Condition (x > 25)
We need to get the t-value between the two means and comparing it wit the t-value for the time of 25 minutes given that there is a 90% probability that the weather will be good. Simply use the t-test formula and use the t-test table to get the probability.
35 eggs* (3/5)= 21 eggs
She used 21 eggs~