Diameter of the dartboard as given in the question = 18 inches
Then
Radius of the dartboard will be = 18/2 inches
= 9 inches
We already know that
Circumference of a circle = <span>2π</span>r
We also know that the value of <span>π = 3.14159
Then
Circumference of the dartboard = 2 * 3.14159 * 9 inches
= 56.548 inches
= 56.55 inches
So the radius of the dartboard is 9 inches and the circumference of the dartboard is 56.55 inches. I hope the procedure is absolutely clear to you.
</span>
Step-by-step explanation:
(x - 4)(x - 1)
= x² - x - 4x + 4
= x² - 5x + 4.
Answer:
b). Examine relationships between two categorical variables
Step-by-step explanation:
- The chi-square test of independence is used to determine if there is a significant relationship between 2 Categorical variables.
- In the data set-up for the Chi-Square Test of Independence, at minimum, your data should include two categorical variables and each categorical variable must include at least two groups.
First lets find the value of x. We can do this by making m∠AEB and m∠DEC equal to each other in an equation because they are vertical angles (vertical angles are equal to each other).
Your equation should look like this: m∠AEB = m∠DEC
Plug in the values of m∠AEB and m∠DEC into the equation. Now your equation should look like this:
(3x + 21) = (2x + 26)
Subtract 2x from both sides.
x + 21 = 26
Subtract 21 from both sides.
x = 5
Now plug 5 for x in either ∠AEB or ∠DEC; I will plug it into ∠AEB.
m∠AEB = 3(5) + 21
15 + 21 = 36
m∠AEB = 36°, now since ∠AEB and ∠AED are forming a straight line, this means they are supplementary so they must add up to 180 degrees.
Make m∠AEB and m∠AED add up to 180 in an equation and solve for m∠AED.
36 + m∠AED = 180
Subtract 36 from both sides.
m∠AED = 144°
