100 * pi = pi * r^2
Pi cancels on both sides of the equation
So... 100= r^2
= radius is 10
Answer:
4v
Step-by-step explanation:
the answer is 4v since we dont have any other given
Answer:
a) 0.2416
b) 0.4172
c) 0.0253
Step-by-step explanation:
Since the result of the test should be independent of the time , then the that the test number of times that test proves correct is independent of the days the river is correct .
denoting event a A=the test proves correct and B=the river is polluted
a) the test indicates pollution when
- the river is polluted and the test is correct
- the river is not polluted and the test fails
then
P(test indicates pollution)= P(A)*P(B)+ (1-P(A))*(1-P(B)) = 0.12*0.84+0.88*0.16 = 0.2416
b) according to Bayes
P(A∩B)= P(A/B)*P(B) → P(A/B)=P(A∩B)/P(B)
then
P(pollution exists/test indicates pollution)=P(A∩B)/P(B) = 0.84*0.12 / 0.2416 = 0.4172
c) since
P(test indicates no pollution)= P(A)*(1-P(B))+ (1-P(A))*P(B) = 0.84*0.88+ 0.16*0.12 = 0.7584
the rate of false positives is
P(river is polluted/test indicates no pollution) = 0.12*0.16 / 0.7584 = 0.0253
21.78, take and multiply 2.79 by 5 ( there are 5 week days), and add the 7.83 once because it is the price for the two coffees. So weekly he spends roughly 21.78 on coffees
Answer:
a) 
b) y = 289.815
Step-by-step explanation:
We are given the following information:
The estimate regression equation for a model involving two independent variables and 10 observations follows:
where 
are the two independent variable and y is the dependent variable.
a) The regression line is of the form:
Comparing, we get,
These are the coefficients of respectively, and helps us to know the the significance of the independent variable in predicting the independent variable.
b) We have to estimate y when
