Answer:
\[y < = 300\]
Step-by-step explanation:
Let x = number of out-of-state students at the college
Let y = number of in-state students at the college
As per the given problem, the constraints are as follows:
\[x < = 100\] --------- (1)
\[y = 3 * x\] --------- (2)
From the given equations (2), \[ x = y/3 \]
Substituting in (1):
\[y/3 < = 100\]
Or, \[y < = 300\] which is the constraint representing the incoming students.
Answer:
0.57
Step-by-step explanation:
Given that:
food = f ; c = clothes
P(f) = 0.76
P(C) = 0.49
P(fnC) = 0.28
Suppose a shopper is selected from the store at random and learn that they buy clothes. What is the probability that the shopper also buys food?
P(f Given C) = P(f | C)
P(f | c) = p(fnC) / p(C)
P(f | c) = 0.28 / 0.49
P(f | c) = 0.5714
P(f | c) = 0.57
Answer:
18. y = -5
19. y = 4x-10
Step-by-step explanation:
Parallel lines have the same slope. You can find the slope from the equation y=mx+b. It is the m value.
For 19, the slope is 4 since y=4x has m = 4. To find a line parallel to it that crosses through the point (3,2), substitute m = 4 and (3,2) into the point slope formula.

It simplifies to y = 4x - 10.
For equations like 18 where y = 8 there is no m value. There is no slope. This is a horizontal line through 8 on the y-axis. A parallel line is another horizontal line through the y value of (-6,-5). The line is written he same way as y = -5.
100 cm= 1 meter 1,000 cm=meter
——————-
750 mm = 0.75 m
45 cm = 0.45 m
2.3 m
——————
Add and you should get 3.5. The tinsel is 3.5 meters long.
The answer is D.) 23. First you subtract 12 from both sides of the equation. You will get 0.35x=8.05. Then you divide both sides by 0.35 to get x=23.