First do 43 - 30= $13 for two hats
so for one hat you do 13 divided by 2 which equals= <u>$6.50</u> for one hat
then you do 30 - 13= $17 for two pairs of gloves
so for one pair of gloves you do 17 divided by 2=<u> $8.50</u> for one pair of gloves
<u>Given</u>:
The measure of ∠ABD is (4x + 15)°
The measure of ∠DBC is (13x + 7)°
We need to determine the value of x.
<u>Value of x:</u>
Since, we know the property that every angle in a rectangle is 90°
Hence, the value of x can be determined by adding the two angles and equating to 90°
Thus, we have;

Substituting the values, we have;




Thus, the value of x is 4.
Using the Central Limit Theorem, it is found that:
- The standard deviation is
.
<h3>Central Limit Theorem</h3>
- It states that for a <u>proportion p in a sample of size n</u>, the sampling distribution of sample proportions has mean
and standard deviation 
- When two variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
In 2006, 95% of new cars in the US came with a spare tire, with a sample of 250, hence:

In 2017, 72% of new cars in the US came with a spare tire, with a sample of 250, hence:

Hence, for the distribution of differences:


To learn more about the Central Limit Theorem, you can take a look at brainly.com/question/16695444
Answer: $5645.85
Step-by-step explanation: a loan fee of $54.15 was deducted
The length of each side of the square is 3 ft.
<u>Step-by-step explanation:</u>
We have , A composite figure is formed by combining a square and a triangle. Its total area is 52.5 ft. The area of the triangle is 43.5 ft . We know that area of a square =
. According to question:
area of square = 
area of triangle = 43.5 ft
total area = 52.5 ft.
Total area = area(square+triangle)
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Therefore, the length of each side of the square is 3 ft.