Answer:
Yes, an arrow can be drawn from 10.3 so the relation is a function.
Step-by-step explanation:
Assuming the diagram on the left is the domain(the inputs) and the diagram on the right is the range(the outputs), yes, an arrow can be drawn from 10.3 and the relation will be a function.
The only time something isn't a function is if two different outputs had the same input. However, it's okay for two different inputs to have the same output.
In this problem, 10.3 is an input. If you drew an arrow from 10.3 to one of the values on the right, 10.3 would end up sharing an output with another input. This is allowed, and the relation would be classified as a function.
However, if you drew multiple arrows from 10.3 to different values on the right, then the relation would no longer be a function because 10.3, a single input, would have multiple outputs.
Answer:
3. A single translation
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Given AB ≅ BC, then
AB = BC = x + 6 , and
AC = AB + BC ← substitute values
3x - 31 = x + 6 + x + 6, that is
3x - 31 = 2x + 12 ( subtract 2x from both sides )
x - 31 = 12 ( add 31 to both sides )
x = 43
Hence
AB = BC = x + 6 = 43 + 6 = 49
AC = 3x - 31 =(3 × 43) - 31 = 129 - 31 = 98
Answer: 
Step-by-step explanation:
Given:
To make 
the subject of the formula means that we want to make to stand alone , the first thing to do is to multiply through by 1/4a , that is
take the square of both sides:
Form the confidence level (99%), we calculate the "alpha" value
alpha=1-(99/100)=0.01
Now, calculate the critical probability (p-start)
p*=1-(alpha/2)=1-(0.01/2)=0.995
z-score could be calculated from p*,,,
z-score=2.57583
Now, calculate the Margin of Error:
standard deviation = s
number of adults = n
ME=(z*s)/(sqrt n)=(2.57583*12)/(sqrt 250) = 1.955
The confidence interval = mean +or- ME
= 70+1.955 or 70-1.955
So that we can conclude that the 99% confidence interval for the mean beats per minute is 68.045 and 71.955
I hope you got the idea!
