Answer: y + 1 = 2 (x -1)
Step-by-step explanation:
Point slope form is:
y - y1 = m (x - x1)
Point on the line is (1, -1) and slope is 2
m = 2
y1 = -1
x1 = 1
y - (-1) = 2 (x - 1) or y + 1 = 2 (x -1)
Answer:
c.
Step-by-step explanation:
AB=√(5²+8²)=√(25+64)=√89

Answer:
Step-by-step explanation:
<u>Order of operations, use the operation within the parenthesis:</u>
<u>Distributive property, a(b + c) = ab + ac:</u>
- 1) 4*5 - 4*2 = 20 - 8
- 2) 20 - 8 = 12
Both ways are correct and lead to same result
Answer:
And using a calculator, excel or the normal standard table we have that:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the weigths of a population, and for this case we know the distribution for X is given by:
Where
and
Since the distribution for X is normal then we know that the distribution for the sample mean
is given by:
We can find the probability required with the following z score formula:

And replacing we got:
And using a calculator, excel or the normal standard table we have that: