(84)5 = 420
(73)9 = 657
420 + 657 = 1077
We have been given that
and
. We are asked to find the Cartesian coordinates.
We know that
and
.
Let us convert polar coordinates to Cartesian coordinates using above formula.



Round to nearest hundredths:




Round to nearest hundredths:

Therefore, the Cartesian coordinates will be
and option 'b' is the correct choice.
Answer:
a. 250 fields
b. 220 to 280 fields
c. Fields are not independent
Step-by-step explanation:
a. The average number of fields sampled that are infested with whitefly =
number of fields X Percentage sampled, 10%
= 2500 X 10% = 250 fields
b. Going by the binomial distribution is the square of the standard deviation, divided by (the product of the sample size n, and the probability a and b). While the standard deviation is the square root of the variance
σ = √nab
= √na(1-a) = √2500 X 10% X (1- 10%)
= √225 = 15
Now let's use the empirical rule that says about 95% of the observations are within two standard deviations from the mean since the number of trials is very large
μ - 2σ = 250 - 2(15) = 220
μ + 2σ = 250 + 2(15) = 280
Approximately 220 to 280 fields are expected to be infested going by 95% probability observation
c. Since x=25 is considered small and is not captured within 220 and 280 fields making one of the characteristics of binomial experiment not satisfied which expects each field to be independent. Making fields that are close together more likely to be infected.
Answer:
x= 
Step-by-step explanation:
you might need a calculator to get the answer but since it is a right triangle the legs of the triangle in this case x and the
are the same length
Answer:
I know that the first one is 7 and 13. The second one is 10 and 12
Step-by-step explanation: