It should be noted that the mean and the standard deviation of the data given in will be 4.26 and 1.1011 respectively.
<h3>How to solve
the mean.</h3>
From the complete information, the mean will be calculated as:
= (0.02 × 1) + (0.09 × 2) + (0.12 × 3) + (0.15 × 4) + (0.62 × 5)
E(X) = 4.26
The standard deviation will be calculated thus:
E(X²) = (0.02 × 1²) + (0.09 × 2²) + (0.12 × 3²) + (0.15 × 4²) + (0.62 × 5²)
E(X²) = 19.36
The standard deviation will then be the difference between the square root of 19.36 and 4.26². This will be 1.1011.
The expected profit of the company will be:
= 0.75 × E(X)
= 0.75 × 4.26
= $3.20
The mean of the total number of binders purchased will be:
= 4.26 + 2.74 = 7
The standard deviation will be 1.6658.
Lastly, the total expected profit will be:
= 0.75E(X) + 1.45E(Y)
= 0.75(4.26) + 1.45(2.74)
= 3.195 + 3.973
= 71.68
Learn more about standard deviation on:
brainly.com/question/24298037
Answer:
0.8239 is the population proportion of participants that tried quitting smoking.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 142
Participants that tried quitting smoking = 117
Parameter:
- A parameter is a numerical value that describes a population.
Population proportion can be calculated as:
0.8239 is the population proportion of participants that tried quitting smoking.
Answer:
<u>x = 8 and y = 5</u>
Step-by-step explanation:
The question is as following:
what is x and y for the following system of equations:
50x + 30 y = 550 ⇒ (1)
44x + 36 y = 532 ⇒ (2)
Subtract (1) - (2)
∴ 6x - 6y = 18
Divide both sides by 6
∴ x - y = 3
∴ x = 3 + y ⇒ (3)
Substitute with the value of x at (1)
50(3+y) + 30y = 550
Solve for y
150 + 50y + 30y = 550
80y = 550 - 150 = 400
∴ y = 400/80 = 5
Substitute with the value of y at (3)
∴ x = 3 + y = 3 + 5 = 8
<u>So, x = 8 and y = 5</u>
Answer:
The answer to your question is letter C
Step-by-step explanation:
Process
1.- Find two points of the line
A ( 0, -3) B ( 2, 2)
2.- Find the slope of the line
3.- Find the equation of the line
y - y1 = m(x - x1)
y + 3 = 5/2(x - 0)
y + 3 = 5/2 x
y = 5/2 x - 3
4.- Convert the line to an inequality, we want the upper area so use ">"
y > 5/2 x - 3
