If you're looking for the simplified version of the fraction, you have to factor both numerator and denominator.
The numerator is actually already a prime number, so we're good
The denominator factors as
So, a 3 appears in both numerator and denominator. We can simplify it:
If you want to compute the approximated value of this fraction, simply plug these values into some calculator to get
Answer:
And for this case we can use the cumulative distribution function given by:
And using this formula we have this:
Then we can conclude that the probability that your bid will be accepted would be 0.41
Step-by-step explanation:
Let X the random variable of interest "the bid offered" and we know that the distribution for this random variable is given by:
If your offer is accepted is because your bid is higher than the others. And we want to find the following probability:
And for this case we can use the cumulative distribution function given by:
And using this formula we have this:
Then we can conclude that the probability that your bid will be accepted would be 0.41
Company A is operating more efficiently
Step-by-step explanation:
Given parameters:
Division A:
Sales = $180,000
Net income = $18,000
Average assets = $72,000
Division B:
Sales = $60,000
Net income = $9,600
Average assets = $48,000
Unknown:
Division operating more efficiently = ?
Solution:
Efficiency measures the relationship between the output from a business and the input into it. Here, the efficiency is the relationship between the net income and the average assets. it can be expressed as a percentage or ratio.
The net income is the profit derived from sales of a company's products.
The higher the value the more efficient a company is.
Efficiency = x 100
Efficiency of division A = x 100 = 25%
Efficiency of division B = x 100 = 20%
Division A has a higher efficiency compared to B
Learn more:
Economic goals brainly.com/question/8951463
#learnwithBrainly
Answer:
The Area of the base is 16 cm² .
Step-by-step explanation:
Given as :
The surface area of the cuboid = x = 95 cm²
The lateral surface area of the cuboid = y = 63 cm²
Let The Area of the base = z cm²
Now, Let The length of cuboid = l cm
The breadth of cuboid = b cm
The height of cuboid = h cm
<u>According to question</u>
∵ The surface area of the cuboid = 2 ×(length × breadth + breadth × height + height × length)
Or, x = 2 ×(l × b + b × h + h × l)
Or, 95 = 2 ×(l × b + b × h + h × l)
Or, (l × b + b × h + h × l) = ....1
<u>Similarly</u>
∵lateral surface area of the cuboid = 2 ×(breadth × height + length × height)
Or, y = 2 ×(b × h + l × h)
Or, 2 ×(b × h + l × h) = 63
Or, (b × h + l × h) = ......2
Putting value of eq 2 into eq 1
so, (l × b + ) =
Or, l × b = -
Or, l × b =
i.e l × b =
so, l × b = 16
<u>Now, Again</u>
∵The Area of the base = ( length × breadth ) cm²
So, z = l × b
i.e z = 16 cm²
So, The Area of the base = z = 16 cm²
Hence,The Area of the base is 16 cm² . Answer