<span>I need to satert by stating the questions clearly. Question A: What is the probability that a radomly selected resident opposes the casino and strongly opposes the casino? This is the joint probability of being opposed and being strongly opposes which is calculated as the product of both: 52/100 * 5/10 = 26/100 = 0.26. Question B. What tis the probability that a radomly selected resident opposes the casino and does not strongly oppose the casino. Again it is a joint probability, the product of being opposed and not being strongly opposed: 52/100 * 5/10 = 26/100 = 0.26. The are the same because the the half of the 52% oppose strongly and the other half does not. </span>
Answer:
1.
m= 
b= 2
2.
m= 
b= 1
3.
m= 3
b=4
Step-by-step explanation:
1. The line intersects the y-axis at the point (0,2) therefore its y-intercept is b=2.
The line rises up 1 unit on the y-axis for every 4 units on the x-axis therefore the line has a slope of m=1/4.
Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that
2. The line intersects the y-axis at the point (0,1) therefore its y-intercept is b=1.
The line down up 1 unit on the y-axis for every 3 units on the x-axis therefore the line has a slope of m= -1/3.
Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that
3. The line intersects the y-axis at the point (0,4) therefore its y-intercept is b=4.
The line rises up 3 units on the y-axis for every 1 unit on the x-axis therefore the line has a slope of m=3.
Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that
The length of the unknown side length, |AB|, is 6.97
<h3>Trigonometry</h3>
From the question, we are to determine the value of the unknown side length
The unknown side length is the hypotenuse
Using SOH CAH TOA
We can write that
sin 35° = 4/|AB|
∴ |AB| = 4 /sin35°
|AB| = 4 /sin35°
|AB| = 6.97
Hence, the length of the unknown side length, |AB|, is 6.97
Learn more on Trigonometry here: brainly.com/question/22099203
#SPJ1
Answer:
Step-by-step explanation:
x+y = 175
y = 175 - x
f(x) = (x+3)(y+4)
= x(175-x) + 3(175-x) + 4x + 12
= 175x - x² + 525 - 3x + 4x + 12
= -x² +176x + 537
f'(x) = -2x + 176
maximum when x = 88
y = 175-x = 87
