Answer:
Profit percentage
.
Step-by-step explanation:
Given: A garment dealer buys goods for
and spend
on freight. He seeks the entire stock for
.
To find: His loss/profit percentage.
Solution:
We have,
Cost price of goods 
Spent on freight 
So, total cost of goods
Selling price of entire stock 
Now, Profit 
So, Profit 
Now,




Hence, profit percentage
.
The necessary formulas to get the area of a circle’s segment are the area of the circle’s sector and the triangle it is bounded by.
Hence the formula for the segment’s area is:Area of Segment = Area of sector – area of the triangle.
The formula of the area of a circle’s sector is:Area of Sector =

x (radius of circle)²
While the formula for the area of a triangle is:Area of Triangle =

x base of triangle x height of triangle
The hypothesis test shows that we reject the null hypothesis and there is sufficient evidence to support the claim that the return rate is less than 20%
<h3>What is the claim that the return rate is less than 20% by using a statistical hypothesis method?</h3>
The claim that the return rate is less than 20% is p < 0.2. From the given information, we can compute our null hypothesis and alternative hypothesis as:


Given that:
Sample size (n) = 6965
Sample proportion 
The test statistics for this data can be computed as:



z = -2.73
From the hypothesis testing, since the p < alternative hypothesis, then our test is a left-tailed test(one-tailed.
Hence, the p-value for the test statistics can be computed as:
P-value = P(Z ≤ z)
P-value = P(Z ≤ - 2.73)
By using the Excel function =NORMDIST (-2.73)
P-value = 0.00317
P-value ≅ 0.003
Therefore, we can conclude that since P-value is less than the significance level at ∝ = 0.01, we reject the null hypothesis and there is sufficient evidence to support the claim that the return rate is less than 20%
Learn more about hypothesis testing here:
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Answer:
The value of g(a) is:
Step-by-step explanation:
Given
As the function g(x) is given by

To determine
g(a) = ?
In order to determine g(a),
substitute x = a in the function g(x) = 3 - 2x
g(x) = 3 - 2x
g(a) = 3 - 2(a)
g(a) = 3 - 2a
Therefore, the value of g(a) is:
Answer:
second one is 3, the last one is 4560
Step-by-step explanation: