Answer:
Step-by-step explanation:
Using the midpoint formula, the coordinates of 
are 
.
Answer: closed circle pointing to the right.
Step-by-step explanation:
Given that the inequality equation is
6 ( 2 - 3y ) < = 36
Open the bracket
12 - 18y < = 36
Collect the like terms
- 18y < = 36 - 12
Make y the subject of formula
The inequality sign will change the moment you multiply or divide both sides by negative numbers
Y > = - 24/18
Y > = - 4/3
That is y is greater than or equal to negative 4/3
Graphing the above inequality,
The point will be between -2 and -1. And it will be closer to -1.
The arrow will point to the right and it will be a closed circle since it is greater than or equal to.
Answer:(-3,-1.5)
Step-by-step explanation: the vertex is the point then the line starts to bend. that would be (-3,-1.5).
The slope within two sets of points is calculated using the slope equation 
<h3>What is slope?</h3>
The slope of a line or points is the rate of change of the line.
This in other words means that, the vertical change per unit horizontal change
Assume that the points are given as:
(x1, y1) and (x2, y2)
The slope (m) of the points is:
Hence, the equation of two sets of points is
Read more about slopes at:
brainly.com/question/1884491
#SPJ1
Answer: The probability of drawing a red marble the sixth time is 1/2
Step-by-step explanation:
Here is the complete question:
A box contains 10 red marbles and 10 green marbles. Sampling at random from the box five times with replacement, you have drawn a red marble all five times. What is the probability of drawing a red marble the sixth time?
Explanation:
Since the sampling at random from the box containing the marbles is with replacement, that is, after picking a marble, it is replaced before picking another one, the probability of picking a red marble is the same for each sampling. Probability, P(A) is given by the ratio of the number of favourable outcome to the total number of favourable outcome.
From the question,
Number of favourable outcome = number of red marbles =10
Total number of favourable outcome = total number of marbles = 10+10= 20
Hence, probability of drawing a red marble P(R) = 10 ÷ 20
P(R) = 1/2
Since the probability of picking a red marble is the same for each sampling, the probability of picking a red marble the sixth time is 1/2
