Answer: You need to give more information for me to able to properly answer this question.
Step-by-step explanation:
<span>If Hunter raises beetles in a square of compost with a size of 6 ft by 6 ft and having 500 beetles, and then you are to find the number of beetles with a side length that is four times longer, then you can solve this by ratio and proportion.
A = s</span>²
A = 6²
A = 36 ft²
if s = 4*the original length, then the new area is
A = 24²
A = 576 ft²
500 beetles/36 ft² = x number of beetles/576 ft²
x = 8,000 beetles
Slope form y2-y1 / x2-x1 = m
20 - 9 = 11
12 - 4 = 9
The slope of the line is 11/9
Answer:
a) Decrease
b) New mean = 78.43
c) Decrease
Step-by-step explanation:
We are given the following in the question:
Total number of students in class = 28
Average of 27 students = 79
Standard Deviation of 27 students = 6.5
New student's score = 63
a) The new student's score will decrease the average.
b) New mean


New mean =

Thus, the new mean is 78.43
c) Since the new mean decreases, standard deviation for new scores will decrease.
This is because the new value is within the usual values i.e. within two standard deviations of the mean. So, this wont cause a lot of variation as this value will be closer to already available data values. Also number of observations (n) in the denominator is increasing. Based on both these points we can conclude that standard deviation will decrease
Formula for Standard Deviation:
where
are data points,
is the mean and n is the number of observations.
Answer:
2.67 seconds
Step-by-step explanation:
Distance covered by the dog = 40 ft
The rate at which the dog runs (speed) = 15 ft/s
But,
speed = 
So that,
time = 
= 
= 2
time = 2.6667 s
It would take the dog 2.67 s to mess.