Answer:
And we can calculate the p value with the following probability taking in count the alternative hypothesis:
And for this case using a significance level of 
we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true proportion is less than 0.02
Step-by-step explanation:
For this case we want to test the following system of hypothesis:
Null hypothesis: 
Alternative hypothesis: 
The statistic for this case is given by:
(1)
And for this case we know that the statistic is given by:
And we can calculate the p value with the following probability taking in count the alternative hypothesis:
And for this case using a significance level of we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true proportion is less than 0.02
Answer with Step-by-step explanation:
The basic water balance dictates that "Amount of water flowing into the basin should be equal to the amount of water flowing out of it".
Mathematically
where
P = precipitation
I = Infiltration losses in the basin
E = Evapotranspiration
Q = is outflow from the basin
Applying the given values we get
Part b)
From the above equation we get
The evaporation in cubic meters per year is
The area of a trapezoid is calculated using the formula: 1/2(a + b)h. The diagram shows that base number one (a) is 8.5 dm and base number two (b) is 26.5 dm. The height is 9 dm. Substitute these values into the formula.
1/2(8.5 + 26.5) * 9, add 8.5 and 26.5 inside the parentheses.
1/2(35) * 9, you can now solve from left to right. Multiply 1/2 and 35.
17.5 * 9, multiply to get your final answer. The area of the trapezoid is C. 157.5 dm^2.
