3x + 4y = - 8
The equation of a line in standard form is Ax + By = C
where A is a positive integer and B, C are integers
Express the line in ' slope- intercept form '
y = mx + c → (m is the slope and c is the y-intercept)
here m = - 
and c = - 2
hence y = - x - 2 → equation in slope- intercept form
multiply all terms by 4
4y = - 3x - 8
add 3x to both sides
3x + 4y = - 8 → in standard form
A) The variable on the horizontal axis of the graph (the independent variable) is "pounds of rice". That is what the first number in the ordered pair (6, 18) represents.
The variable on the vertical axis of the graph (the dependent variable) is "total cost in dollars". That is what the second number in the ordered pair represents.
(6, 18) represents that the total cost of purchasing 6 lbs of rice is $18.
B) The unit price is found at the point where the independent variable has the value 1. That would be at the point (1, 3), which indicates the unit price is $3 per pound.
C) You would have to buy 4 lbs of rice for the total cost to be $12. There are at least two ways to find the answer.
- Draw a horizontal line on the graph at cost = $12. It intersects the graph at lbs = 4.
- Divide the total cost by the unit price. $12/($3/lb) = 4 lb.
The valid probability distributions are the ones in options C and D.
<h3>
Which of the following are valid probability distributions?</h3>
For discrete random variables with probabilities p₁, p₂, ..., pₙ, there are two rules:
- All of these probabilities are numbers between 0 and 1.
- p₁ + p₂ + ... + pₙ = 1.
So, for the first rule we can discard the first option, where we have negative probabilities.
To check the other 4 options, just add the probabilities and see if the addition gives 1.
The options that add up to 1 are C and D, so these two are the correct options.
D: 1/5 + 1/10 + 1/10 + 1/10 + 1/5 + 1/10 + 1/10 + 1/10 = 1
C: 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 1
If you want to learn more about probability:
brainly.com/question/25870256
#SPJ1
Answer:
Since the diameter of the pool is 10 feet, the radius will be one-half of the diameter.
The radius will be 5 feet.
The circumference of the pool will be Pi times the diameter.
The circumference will be Pi (3.14) times 10 feet.
The circumference will be 31.4 feet.
