Answer:
134.6
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula. This is X when Z has a p-value of 1-0.01 = 0.99. So it is X when Z = 2.325.
The level is L = 134.6
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation, large sample size can be approximated to a normal distribution with a mean and standard deviation
Answer:
The amount of commission earned by Wendy is $6,577.93
Step-by-step explanation:
Commissions can be described as a type of variable remuneration that is paid to an employee based on the value of services rendered or products sold.
Commission is calculated by multiplying the commission rate by the value of services rendered or products sold.
From the question, we have:
Fixed earnings = $7
Commission rate = 5/8% = 0.625%
Total sales = $10,524.68
Amount of commission = Commission rate * Total sales = 0.625% * $10,524.68 = $6,577.93
Therefore, the amount of commission earned by Wendy is $6,577.93.
Note that the fixed earning of $7 will be earned by Wendy whether she made sales or not. Therefore, the fixed earning is not part of the commission and should not be added to the commission.
Answer:
It would be A, or the first graph
Step-by-step explanation:
So we’ve now created an equation
2x + 3y ≤ 6
From here, we can convert this into something easier to read
y ≤ -2/3x + 2
Now, we know that the y-intercept is 2 so either A or B
We also know the shaded area should be below the line (because the smallest part of the “≤” is facing the y).
Therefore, the answer is A
The angles and length of the triangle area as follows:
- ∠CBD = 61°
- ∠A = 35°
- AD = 32.77 units
- BD = 22.94 units
- BC = 11.12 units
- CD = 9.73 units
<h3>How to find the sides and angle of a triangle?</h3>
The sum of angles in a triangle is 180 degree.
Therefore,
∠DBC = 180 - 29 - 90 = 61°
Hence,
∠A = 180 - 29 - 61 - 55 = 35°
∠CBD = 61°
Using trigonometric ratios,
sin 55 = opposite / hypotenuse
sin 55 = AD / 40
AD = 40 sin 55
AD = 32.7660817716
AD = 32.77 units
cos 55 = adjacent / hypotenuse
cos 55 = BD / 40
BD = 40 cos 55
BD = 22.943057454
BD = 22.94 units
sin 29 = 22.94 / BC
BC = 22.94 sin 29
BC = 11.1215326885
BC = 11.12 units
cos 29 = CD / 11.12
CD = 11.12 cos 29
CD = 9.72577114339
CD = 9.73 units
learn more on triangle here: brainly.com/question/17307037
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