The standard deviation of the average age of a breed of dog is said to be 3.69.
<h3>What is the standard deviation about?</h3>
Note that we take:
- x = dog age has mean 19.5
- Unknown standard deviation.
Hence:
z = (x - mean) /SD is distributed N (0,1) - mean o standard deviation 1 (standard normal)
Since 20% of dogs are known to be older than 22.6 years:
So 22.6 years is said to be 80th percentile,
Since z matching to 80th percentile (using the standard normal table) s is <em>0.84.</em>
Then one need to plug z, x which is = 22.6
mean = 19.5 into the stated z equation:
Hence,
0.84 = (22.6 - 19.5)/SD
SD = (22.6 - 19.5)/0.84
= 3.69
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The vertical velocity of the car at the given position and time is 4.905 m/s.
The given parameters:
- Initial angular velocity,
= 6.3 rad/s - Time of motion, t = 0.25 s
- Vertical displacement, y = 0.75 m
- Angular acceleration,
<h3>What is vertical velocity?</h3>
- This is the linear velocity of an object in a vertical direction.
The angular velocity of an object in a circular motion is given as;
The vertical velocity of the car at the given position and time is calculated as follows;
Thus, the vertical velocity of the car at the given position and time is 4.905 m/s.
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The cost of buying 10 boxes of 12 units of perfume would be 120,000.00 and Rodrigo will sell them for 180,000.00. According to the above, Rodrigo's profit is 60,000.00.
<h3>How to calculate Rodrigo's profit?</h3>
To calculate Rodrigo's profit selling perfumes, it can be done in several ways. One of them is calculating the total profit per box of perfumes and multiplying it by the number of boxes he bought as shown below:
- Cost of perfume box: 12,000.00
- Sales value of the perfume box: 18,000.00
- 18,000.00 - 12,000.00 = 6,000.00
Earnings per box of perfumes = 6,000.00
Now, we have to multiply the profit by the number of boxes of perfume that Rodrigo bought, this time it is 10.
- 6,000.00 × 10 = 60,000.00
According to the above, Rodrigo's total profit from selling 10 boxes of perfumes is 60,000.00.
Note: This question is incomplete because some information is missing. Here is the complete information:
Rodrigo is engaged in a buy and sell business of perfumes. he bought 10 boxes f perfumes. each boxes costs 12,000.00 and contains a dozen of perfume bottles. he is planning to sell one perfume bottle at P1,500. what is his expected profit on the boxes of perfumes? the ultimate goal of any business whether a retail or wholesale is to earn a profit. getting the difference between the amount of money earned from the selling 10 boxes containing a dozen of perfume bottles and the cost of those 10 boxes gives the profit.
1. how much does rodrigo earned profit?
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