Answer:

Step-by-step explanation:
The graph lies above the x-axis for these intervals.
Answer:
Given that,
Suppose 2 quarters, 3 dimes, 3 nickels, and 9 pennies are in a box.
One coin is selected at random.
To find the expected value of the money drawn from the box.
we get,
Total number of coins is 2+3+3+9=17
Probability of getting quarter is,

Probability of getting dime is,

Probability of getting nickel is,

Probability of getting penny is,

we know that,

Using this, we get
The expected value of the money drawn from the box is,


Answer:
it is the answer check out.
Step-by-step explanation:
I hope it can help you
Let's use the slope intercept form of a line which is:
y=mx+b where m=slope and b=y-intercept.
Mathematically m=(y2-y1)/(x2-x1) and the y-intercept is just the value of y when x is equal to zero, where the line intercepts the y axis...
First you want to find the slope by finding two clearly identifiable points on the graph...I'll pick (4,4) and (0,1), now we can calculate the slope or "m"...
m=(4-1)/(4-0)=3/4 so now we can say our line is:
y=0.75x+b, using point (4,4) we can now solve for b.
4=0.75(4)+b
4=3+b
b=1 so the line is"
y=0.75x+1
<h3>
Answer:</h3>
y = 8/9x + 80/9
<h3>
Step-by-step explanation:</h3>
<u>We are given;</u>
- Equation of a line as 8x -9y -2 = 0
- Coordinates (-1,8)
We are required to determine the equation of a line parallel to the given line and passing through a point (-1,8)
<h3>Step 1: Determine the Gradient of the given line </h3>
- When an equation is written in the form y = mx + c, m is the gradient.
- Therefore; we could write the equation 8x -9y -2 = 0 in the form of y= mx + c
9y = 8x -2
y = 8/9x - 2/9
Therefore, the slope, m = 8/9
<h3>Step 2: Determine the equation of the line</h3>
- We need to know that parallel lines have the same gradient
- Therefore, the slope of the line in question is 8/9
- It passes through a point (-1, 8)
We can therefore, determine the equation;
Taking another point, (x,y)

9(y-8) = 8(x+1)
9y - 72 = 8x + 8
9y = 8x + 8 +72
9y = 8x + 80
y = 8/9x + 80/9
Therefore, the equation of the line is y = 8/9x + 80/9