Answer:
Step-by-step explanation:
While working at his neighborhood math tutoring center researching the comprehension level of the students Dion investigated that the distribution of the student test scores are normally distributed with a mean of 79.13 and a standard deviation of 6.34. What is the probability that the student scores less than 60.11
We solve using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
z = 60.11 - 79.13/6.34
An easy way to do this is by using the simplest equations you can:
x + y and x - y
(3, 5) is (x, y). all you have to do is plug those into your equations and get a result, so:
x + y = 8
(because 3 + 5 = 8)
x - y = -2
(because 3 - 5 = -2)
and those can serve as your system of equations.
you can check it by solving by substitution:
x - y = -2
x + y = 8
solve one of the equations for a single variable:
x = y - 2
plug it into the second equation:
(y - 2) + y = 8
y - 2 + y = 8
2y - 2 = 8
2y = 10
y = 5
then plug that result back into the equation:
x + y = 8
x + 5 = 8
x = 3
Answer:
B) 7 cans
Step-by-step explanation:
First task is to determine how many square units we have.
With the rectangle spanning 2 units on the X-axis and 3 unites on the Y-axis, we know that it has an area of 6 square units.
The two triangle shapes sum up to one unit total, since a triangle's area is (base * height) / 2. Both have a base of 1 unit, and a height of 1 unit... so (1 * 1) / 2 = 1/2 for each triangle. Together, they occupy 1 unit.
So, total is 7 square units. Let's imagine it as a 7-unit by 1-unit rectangle, it will be easier to calculate. Each unit is 5 feet. So, this rectangle measures 35 (7 * 5) feet long, by 5 (1 * 5) feet wide... for a total of 175 (35 * 5) sq feet.
Since a can of paint can cover 25 sq feet, he'll need 7 cans (175 / 25).
Answer:
y = (x - 3)²-2 is the correct answer
Answer:
Second option: 
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
We know that a line goes through the points 
and 
Since the line intersects the y-axis when 
, then the y-intercept of this line is:
Substitute the y-intercept and coordinates of the point into the equation and solve for "m":
By definition, the slopes of parallel lines are equal, then the slope of the other line is:
Knowing that it passes through the point 
, we can substitute values into the equation and solve for "b":
Therefoe, the equation of this line is:
