Answer:
C
Step-by-step explanation:
time is directly proportional to the number of problems in the set
=> x = ky
k = constant of proportionality
when k = 12
x = 12y
by making y the subject, we divide both sides by 12
=> y = x/12
Answer:
(a) -- Population Mean
(b) --- Population standard deviation
(c) See Explanation
Step-by-step explanation:
Given:
Cigarette tax for 20 regions
Solving (a): The population mean
This is calculated as:
So, we have:
Solving (b): The population standard deviation
This is calculated as:
So:
Solving (c):
Population mean tells the average amount while the standard deviation represents the spread from the calculated mean
Option (4) is correct
Use the trigonometry triangles SOH CAH TOA
Sin= opposite/hypotenuse
Opposite= opposite the angle
Hypotenuse is the longest side
Answer:
in (x,y), it becomes (-x,y)
Step-by-step explanation:
We have to find the values of m and n. We know that the value of n is 5 times as much as the value of m : n = 5 m. Also n is 36 more than the value of m : n = m + 36. This is a system of equations. Of we substitute n = 5 m into the second equation: 5 m = m + 36; 5 m - m = 36; 4 m = 36; m = 36 : 4; m = 9. Finally: n = 5 * 9 ; n = 45. Answer: The values are n = 45 and m = 9.