Answer:
20
Step-by-step explanation:
3x + x + 100 = 180 (sum of angles on a straight line)
4x = 180-100
4x=80
divide both sides by 4
x=20
Answer:
The correct option is b) 4.71
Step-by-step explanation:
Consider the provided information.
Test statistic for proportion: 
It is given that the claim is that the proportion of accidental deaths of the elderly attributable to residential falls is more than 0.10, and the sample statistics include n=800 deaths of the elderly with 15 percent of them attribute to residential falls.
Therefore,
, p = 0.1, q = 1-0.1 = 0.9 and n = 800.
Substitute the respective values in the above formula.



Hence, the correct option is b) 4.71
Answer:
9+15i
Step-by-step explanation:
Answer:
Step-by-step explanation:
Assumed the question is how many pages are in each chapter.
<u>Let it be x:</u>
- 6x + 8 = 194
- 6x = 186
- x = 186/6
- x = 31
Answer:
17. See below
18. 750
Step-by-step explanation:
17. Since the lollipops are being sold at the same price, 50 cents, for each one sold, they make a constant amount of money. For each increase in lollipops sold, there is a constant increase in money made, and thus the situation is a linear function.
18. To solve this equation, let's say y is the money made at the convention in dollars and x is the number of lollipops sold. If the principal gave them 125 dollars before they sold any lollipops (0 lollipops sold), then 125 is the y-intercept of the function, and in the equation y=mx+b, b=125. If each lollipop costs 50 cents (half of a dollar), then for each lollipop, x, sold, .5 dollars are made and are added to the profit, y. Thus, .5 dollars is the slope. The equation then becomes:

Now, if they need 500 dollars, y is thus equal to 500 dollars. Solving the equation:






Thus, 750 lollipops must be sold.