Hello there!
So, remember that m = the slope, and slope intercept form is represented as y = mx + b. To find the y intercept, place the values of x, y, and the slope into the equation.
The first step, ____ = (____)____ + b should look like 3 = (2/5)10 + b once you plug the values for your x and y values and slope.
The second step, ___ = ____ + b should look like 3 = 4 + b since you should multiply 2/5 x 10.
The final step, -1 = b should look like since you subtracted 4 from both sides of the equation.
Y = 2/5x - 1 is your final equation. I hope this helps, have a great rest of your day!
Answer:
23.5 inches^2
Step-by-step explanation:
Area of triangle = 1/2 * base * height
area = 1/2 * (5+2) * (5+4)
area = 31.5 in^2
Area of rectangle = length * breadth
area = 4 * 2
area = 8 in^2
Area of figure = area of triangle - area of rectangle
area = 31.5 - 8
area =23.5 in^2
Answer:
185 minutes.
Step-by-step explanation:
It is possible to model an equation for this, such that

where x represents the number of minutes.
Then, you solve for x:

Answer: See below
Explanation:
Write an equation for nth term:
a + d(n - 1)
a = 8 (first term)
d = -6 (common difference)
8 - 6(n - 1)
= 8 - 6n + 6
= -6n + 14
Find a 50:
-6(50) + 14
= -300 + 14
= -286
Answer:
The standard deviation of the sample is 0.0064.
Step-by-step explanation:
The standard deviation of a sample of length n of a population with standard deviation
is given by the following formula:

In this problem, we have that:
61 randomly selected gas stations. This means that 
The standard error of the mean is $0.05. This means that
.
What is the standard deviation of the sample?

The standard deviation of the sample is 0.0064.