Answer:

Step-by-step explanation:
The slope-intercept form of an equation of a line:

<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept → (0, </em><em>b</em><em>)</em>
<em />
The fromual of a slope:

<em>(x₁, y₁), (x₂, y₂)</em><em> - points on a line</em>
<em />
We have the points from the graph:
(0, 1) → <em>b = 1</em> and (3, 3).
Calculate the slope:

Finally we have the equation of a line:

Using it's concept, it is found that the probabilities are given as follows:
a.1/2, 1/9, 5/9.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
In this problem, 90 out of 180 individuals are children, hence the probability is given by:
p = 90/180 = 1/2.
Out of 90 adults, 60 - 50 = 10 preferred cheeseburgers, hence the probability is given by:
p = 10/90 = 1/9.
Of the 180 individuals, 90 are children, and 10 are adults who prefer cheeseburgers, hence the probability is given by:
p = 100/180 = 10/18 = 5/9.
Hence option a is correct.
More can be learned about probabilities at brainly.com/question/14398287
#SPJ1
Maximize
subject to 



That's clearly maximum when the squared term is zero, so



Answer: a=12, b=24, max 288
Answer:
a = 19
Step-by-step explanation:
-2(a + 3) = -4a + 32
-2a - 6 = -4a +32
<u> +2a +2a </u>
-6 = -2a + 32
<u>-32 -32</u>
-38 = -2a
divide by -2
<u><em>a = 19</em></u>
Answer:
x = 3 y = 1
Step-by-step explanation:
3 + 7 = 10
10 x 1 = 10
Have a great day and good luck :)