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AveGali [126]
3 years ago
14

I posted this 2 hours ago can someone pls help?

Mathematics
1 answer:
nikdorinn [45]3 years ago
4 0

Answer:

0.314 gallon is required to cover a circular region with a radius of 40 feet

Step-by-step explanation:

Given

a gallon of paint will cover about 400 square feet in a single coat

To Find:

Number of gallons  required to cover a circular region with a radius of 40 feet = ?

Solution:

Step 1: Finding Area of the circular region

The  area of the circular region, A  = \pi r^2

where r is the radius

Now substituting r =  40 , we get

A = \pi \times 40

A = 125.6 ft^2

Step 2: Finding the number of gallons of paint required

To cover 400 sq feet  = 1 gallon

so to cover 1 square feet  = \frac{1}{400}gallon

Now to cover 125.6 ft we need

125.6 \times \frac{1}{400}

\frac{125.6}{400}

=> 0.314 gallon

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Karolina [17]

Answer:

Y^= 1.767 + 0.6294X when rounded give s Y^= 1.77 +0.63X

b= 0.6294 rounded to 0.63

a= 1.77

The predicted lines are for each X and Y

3.340,3.96, 4.914, 5.228, and 5.543

Step-by-step explanation:

The data given is

Length (m)    Speed (m/s)              Predicted Line  

2.5                  3                                    3.340  

3.5                 4.5                                  3.96

5                   4.8                                  4.914

5.5                5.2                                 5.228

6                   5.5                                 5.543

The calculations are

                 Xsquare    XY   Y     X

                 6.25    7.5  3      2.5

                 12.25 15.75 4.5      3.5

                    25 24         4.8      5

                  30.25 28.6 5.2      5.5

                   36 33           5.5      6

Total       109.75 108.85   23         22.5

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Y^ = a +bX

and two normal equations are

∑Y = na + b∑X

∑XY= a∑X + b∑X²

Now X`= ∑X/ n= 22.5/5=4.5

Y`= ∑Y/ n= 23/5= 4.6

b= n∑XY- (∑X)(∑Y) / n∑X²- (∑X²)

Putting the values

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b= 544.25-517.5/ 548.75-506.25

b= 26.75 /42.5

b= 0.6294

and

a= Y`- bX~= 4.6- 0.6294(4.5)= 4.6-2.823= 1.767

Hence the

desired estimated regression line of Y on X is

Y^= 1.767 + 0.6294X

Y^= 1.77 +0.63X

The estimated regression co efficient b= 0.6294 indicates that the values of Y increase by 0.6294 units for a unit increase in X.

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