Answer:
slope= -3
y-intercept= 6
Step-by-step explanation:
1. Approach
To solve this problem, one needs the slope and the y-intercept. First, one will solve for the slope, using the given points, then input it into the equation of a line in slope-intercept form. The one can solve for the y-intercept.
2.Solve for the slope
The formula to find the slope of a line is;
Where (m) is the variable used to represent the slope.
Use the first two given points, and solve;
(1, 3), (2, 0)
Substitute in,
Simplify;
3. Put equation into slope-intercept form
The equation of a line in slope-intercept form is;
Where (m) is the slope, and (b) is the y-intercept.
Since one solved for the slope, substitute that in, then substitute in another point, and solve for the parameter (b).
Substitute in point (3, -3)
Answer:
200.96 sq. meters.
Step-by-step explanation:
The formula for the area of a circle is \pi r^(2). To solve for the area, use the given values, pi is 3.14 and the radius is 18. This gives you the new equation of (3.14)(18)^2. Solve algebraically, first raising the radius to the power of 2, and then multiplying.
She will pay $1.50 for the hairbrush and her mum paid $1.50 as well
Answer:
Step-by-step explanation:
Given
See attachment for proper table
Required
Complete the table
Experimental probability is calculated as:
We use the above formula when the frequency is known.
For result of roll 2, 4 and 6
The frequencies are 13, 29 and 6, respectively
So, we have:
When the frequency is to be calculated, we use:
For result of roll 3 and 5
The probabilities are 0.144 and 0.296, respectively
So, we have:
For roll of 1 where the frequency and the probability are not known, we use:
So:
Frequency(1) added to others must equal 125
This gives:
Collect like terms
The probability is then calculated as:
So, the complete table is:
