Answer:
(8, -2)
Step-by-step explanation:
It is reflected over the X axis
Because 8 is an x coordinate, it will not be changed. And because 2 is not an X coordinate it will be reversed, or turned to negative
You need to first make denominator in the fractions you have equal, then simply subtract numenators.
example:
2/3 - 1/2
first step is to make denominators equal.
for this example, the denominator will be equal to 6 which is 2x3
so, 2/3 = 4/6 and 1/2 = 3/6
so, the expression now becomes:
4/6 - 3/6
simply subtract numenators and the denominator will be 6 as well.
4/6 - 3/6 = 1/6
another example:
3/4 - 1/2
here the denominator can be equal to 4 in all terms
1/2 = 2/4
so, the new expression is now:
3/4 - 2/4 = 1/4
Answer: 0.16
Step-by-step explanation:
Given that the run times provided are normally distributed ;
Mean(x) of distribution = 3 hours 50 minutes
Standard deviation(s) = 30 minutes
The probability that a randomly selected runner has a time less than or equal to 3 hours 20 minutes
3 hours 20 minutes = (3 hrs 50 mins - 30 mins):
This is equivalent to :
[mean(x) - 1 standard deviation]
z 1 standard deviation within the mean = 0.84
z, 1 standard deviation outside the mean equals:
P(1 - z value , 1standard deviation within the mean)
1 - 0.8413 = 0.1587
= 0.16
Answer
Slope: -2
Step-by-step explanation:
Perpendicular slope is the negative reciprocal of the original slope.
The original slope was 1/2. Flip it. 2/1=2. Now change the sign to -2.
