729 is 3 to the 5th power
3 x 3 x 3 x 3 x 3 is 729
Yep that looks about right. I would say that works. Good job. You're doing great
Answer:11
Step-by-step explanation:
Answer:
<u>B. 2</u>
To find MAD, find the mean of the set, then find how far each number is from the mean. Next, find the mean of THAT set of numbers. Yea, I know it's a bit confusing... don't worry!
Find the mean of the set:
12 + 10 + 10 + 8 + 6 + 7 + 7 + 12
72
72 / 8
<u>9</u>
Find how far each number is from 9:
12 - 9 = <u>3</u>
10 - 9 = <u>1</u>
10 - 9 = <u>1</u>
9 - 8 = <u>1</u>
9 - 6 = <u>3</u>
9 - 7 = <u>2</u>
9 - 7 = <u>2</u>
12 - 9 = <u>3</u>
Find the mean of that number set:
{3, 1, 1, 1, 3, 2, 2, 3}
3 + 1 + 1 + 1 + 3 + 2 + 2 + 3
16
16 / 8
<u>2</u>
<u>So the answer is 2!</u>
Not so hard after all :D
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.
