Answer:
And we can find this probability with this difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
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 costs of services of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with this difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
Covers the 'point-slope' form of linear equations, including how to find a line ... For this one, they give you a point (x1, y1) and a slope m, and have you plug it into this ... You can use the Mat way widget below to practice finding a line equation .... Find the equation of the line that passes through the points (–2, 4) and (1, 2)
Answer: Each fraction is greater than the previous fraction.
Step-by-step explanation:
The fractions given are:
2/3, 4/6, 8/12, 16/24
Note that
2/3 = 4/6 = 8/12 = 16/32
The Fractions are all equal. Each fraction is equivalent to 2/3
The pattern used here is:
2/3 × 2/2 = 4/6
4/6 × 2/2 = 8/12
8/12 × 2/2 = 16/24
16/24 × 2/2 = 32/48
Each fraction is equal to the previous fraction in the pattern multiplied by 2/2
Also, the next fraction in the pattern is 32/48.
The statement that "Each fraction is greater than the previous fraction" is incorrect. The fractions are all equal.
Answer:
slope: 1.25
Part B: The order in which the points are given does not change the value of the slope
Step-by-step explanation:
Part A. Given two points we can find slope using the slope formula

Given the points ( -6, 1/2) and ( -4,3 )
We plug in the y values and x values (starting with the last point give )

so we can conclude that the slope of a line that passes through the points ( -6, 1/2) and ( -4,3 ) is 1.25
Part B. The order in which the points are given does not change the value of the slope
Observe -
* flip the order in which the points are given *
given (-4,3) and (-6,1/2)
we use the same formula
*plug in the y and x values starting with the last point*

The slope still equals 1.25 meaning that the order in which the points are given does not matter.