Step-by-step explanation:
let
(-7,-8) =(x1, y1)
and (-6,7)=(x2, y2)
by the formula
d=√(y2-y1) ²+(x2-x1) ²
=√(7+8)²+(-6+7)²
=√15²+1²
= √225+1
= √226
Answer: D
Step-by-step explanation:
in the first equation you need to shade below and for the second equation you need to shade to the right and the only place where the shading matches is in section d
Answer:
C.17 years old
Step-by-step explanation:
consecutive means that they come after each other
17+16+15=48
Answer: it is 3
Step-by-step explanation:
Answer:
A sample of 997 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of
.
The margin of error is of:

A previous study indicates that the proportion of left-handed golfers is 8%.
This means that 
98% confidence level
So
, z is the value of Z that has a p-value of
, so
.
How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?
This is n for which M = 0.02. So






Rounding up:
A sample of 997 is needed.