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:
Step-by-step explanation:
The angles are complimentary, so they add to 90
6x + 3 + 7x + 9 = 90 Combine like terms
13x + 12 = 90 Subtract 12 from both sides
13x = 90 - 12 Combine
13x = 78 Divide both sides by 13
x = 6
<A = 6x + 3
<A = 6*6 + 3
<A = 36 + 3
<A = 39
The term "supplementary" means that the two angles add up to 180°, which means we can write an equation:
17x + x = 180
18x = 180
÷ 18
x = 10
And now you can multiply 10 by 17, because it is 17 times the angle, to get 170° and 10° as your answer.
I hope this helps!
