Answer: (6,0)
Step-by-step explanation:
Answer: 14.76
Step-by-step explanation:
You need to use this formula for calculate the distance betweeen two points:

Given the points (-5,8) and (2,-5), you only has to substitute the coordinates of these points into the formula
.
Therefore, you get that the distance between these two points is the following:

Answer:
Option (b) 36.7
Step-by-step explanation:
Data provided in the question:
Treatment 1 Treatment 2 Treatment 3 Treatment 4
Sample Size 50 18 10 17
Sample Mean 32 36 42 48
Now,
The overall mean is calculated as
= 
Here, Xi = Sample mean
n = sample sizes
Thus,
Overall mean
= [ (50 × 32) + (18 × 36) + (10 × 42) + (17 × 48) ] ÷ [ 50 + 18 + 10 + 17 ]
= [ 1600 + 648 + 420 + 816 ] ÷ 95
= 36.67 ≈ 36.7
hence,
Option (b) 36.7
Answer:
A score of greater than equal to 128 and less than 188 will get a grade of Upper C
Step-by-step explanation:
We are given the following in the question:
Scores:
66, 74, 71, 81
Let x be the score on fifth test.

To get a grade of Upper C, the average of the first five tests scores must be greater than or equal to 70 and less than 80.

The fifth test counts as two tests.
Putting the values we get:

Thus, a score of greater than equal to 128 and less than 188 will get a grade of Upper C
Answer:
4.26 * 10^-12
Step-by-step explanation:
Usibg the binomial probability relation :
P(x =x) = nCx * p^x * q^(n-x)
Probability of success = probability of not eating = 1 - 0.72 = 0.28
p = 0.28
q = 1 - p = 0.72
Probability that atleast one out of 2 chosen did not eat breakfast :
P(x ≥ 1) = p(x = 1) + p(x = 2)
P(x ≥ 1) = (100C1 * 0.28^1 * 0.72^99) + (100C2 * 0.28^2 * 0.72^98)
= 4.26 * 10^-12