Answer:
The answer is 753.01 m².
Step-by-step explanation:
Given that the formula of sector is θ/360×π×r² where r represents radius of circle. Then, you have to substitute the values into the formula :

Let θ = 255°
Let π = 3.14,
Let r = 18.4m,


Answer: C) 4.20
Explanation:
Multiply each value with its corresponding frequency:
- 1*450 = 450
- 10*35 = 350
- 50*10 = 500
- 100*4 = 400
- 400*1 = 400
Add up the products
450+350+500+400+400 = 2100
Then divide this over the total frequency (450+35+10+4+1 = 500)
So we get 2100/500 = 4.20 as the expected value.
The option C) 49 inches is the circumference of the circular mat.
<u>Step-by-step explanation:</u>
- Tricia made a circular mat from a square piece of cloth.
- The measure of the side length of the square = 14 inches.
- The length of the side is same as the diameter of the circle.
- Therefore, the diameter of the circular mat = 14 inches.
<u>To find radius :</u>
Radius = diameter / 2
⇒ 14/2
⇒ 7 inches.
<u>To find the circumference of the circular mat :</u>
Circumference = 2πr
where,
π has the default value of 3.14
r is the radius of the circular mat.
⇒ 2 × 3.14 × 7
⇒ 44 inches.
∴ The circumference of the circular mat is 44 inches.
Since, it is not given in the option. The option C) 49 inches which is close to 44 inches is the right option.
The simplified form of R(x) is 
<h3>Simplifying an expression </h3>
From the question, we are to simplify the expression
From the given information,

and

Also,

∴ 

Factoring each of the quadratics



Simplifying




Hence, the simplified form of R(x) is 
Learn more on Simplifying an expression here: brainly.com/question/1280754
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<h2>
Answer with explanation:</h2>
As per given , we have
Sample size : n= 5
Degree pf freedom = : df= 5-1=4


Significance level for 90% confidence = 
Using t-value table , t-critical value for 90% confidence:

Margin of error of
: 
Interpretation : The repair cost will be within $12.39 of the real population mean value
90% of the time.