Answer:
to a function is increasing we have to find the slope of the function
the higher the slope the faster the growth
Step-by-step explanation:
- slope = 5/2. which is 2.5
- slope 2 = -1/2 which is -0.5
- slope 3 = 3/2 which is 1.5
- slope 4 = 1/2 which is 0.5
- slope 5= 4/3 which is 1.33
- slope 6 = 3/4 which is 0.75
so the function in increasing order
y= -1/2x + 1/2
y= 1/2x - 2
y=3/4x - 10
y=4/3x -7/3
y=3/2x-11/2
y=5/2x +10
Answer:
5^(3)i^(9)= five cubes times i to the power of 9=125i
Step-by-step explanation:
Raise 5 to the power of 3
rewrite i9 as (i^4)2^i
so, you get 125((i^4)^2i)
i^4=1
125(1^2i)
125i
Answer: 48560
Step-by-step explanation:
Answer:
0.0903
Step-by-step explanation:
Given that :
The mean = 1450
The standard deviation = 220
sample mean = 1560
P(X> 1560) = P(Z > 0.5)
P(X> 1560) = 1 - P(Z < 0.5)
From the z tables;
P(X> 1560) = 1 - 0.6915
P(X> 1560) = 0.3085
Let consider the given number of weeks = 52
Mean 
= np = 52 × 0.3085 = 16.042
The standard deviation = 
The standard deviation = 
The standard deviation = 3.3306
Let Y be a random variable that proceeds in a binomial distribution, which denotes the number of weeks in a year that exceeds $1560.
Then;
Pr ( Y > 20) = P( z > 20)
From z tables
P(Y > 20) 
0.0903
X = 2y
2x + 2y = 24
So if x = 2y that means 2x = 4y. Which means that 2x + 2y = 24 can be written as 4y + 2y = 24. Simplified to 6y = 24. Now we need to get 1y so we divide both sides by 6, 6y/6 = y and 24/6 = 4. so y = 4. so x= 2y can be written as x = 8.
