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3 years ago

Whobatman

2 answers:

8 0

The best estimate of the population means is always the sample mean. We have the sample values, using them we can find the sample mean.

The sum of the sampled rates = 248
Sample Size = 10

Mean value of the sample = Sum of Sample Rate/Sample Size

So,

Mean of the sample = 248/10 = 24.8

Therefore, we can say that the best estimate for the population mean is 24.8

Angelina_Jolie [31]3 years ago

3 0

Answer:

population mean for fuel consumption among vehicles is 24.8,

Step-by-step explanation:

Given : 32, 24, 14, 34, 26, 27, 31, 16, 18, 26.

To find : What is the best estimate of the population mean for fuel consumption among vehicles

Solution : We have given that 32, 24, 14, 34, 26, 27, 31, 16, 18, 26.

Mean = $\frac{sum\ of\ data}{number\ of\ data}$ .

Mean = $\frac{32+24+ 14+ 34+26+ 27+31+16+18+ 26}{10}$ .

Mean= $\frac{248}{10}$ .

Mean = 24.8

Therefore, population mean for fuel consumption among vehicles is 24.8

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Match each pair of points A and B to point C such that ∠ABC = 90°. A(3, 3) and B(12, 6) C(6, 52) A(-10, 5) and B(12, 16) C(16, -

Nikitich [7]

Answer:

The correct option is;

A(-12, -19) and B(20, 45) matches with point C(6, 52) such that ∠ABC = 90°

Step-by-step explanation:

Given slope AB =

A point is perpendicular to two points

Where A(3, 3), B(12, 6) C(6, 52) we have;

Slope AB = (3 - 6)/(3 - 12) = -3/(-9) = 1/3

Slope BC = -3

y - 12 = -3(x - 6)

y = -3x + 18 + 12 = -3x + 30

A(-10, 5) and B(12, 16)

Slope AB = (5 - 16)/(-10 - 12) = -11/(-22) = -1/2

Slope BC = 2

y - 16 = 2(x - 12)

y = 2x - 24 + 16 = 2x - 8

A(-8, 3) and B(12, 8)

Slope AB = (3 - 8)/(-8 - 12) = -5/(-20) = -1/4

Slope BC = -4

y - 8 = -4(x - 12)

y = -4x + 48 + 8 = -4x + 56

A(12, -14) and B(-16, 21)

Slope AB = (-14 - 21)/(12 + 16) = -35/(28)

Slope BC = 28/35

y - 21 = 28/35(x + 16)

y = 28/35x + 28/35*16 + 21 = -4x + 56

A(-12, -19) and B(20, 45)

Slope AB = (-19 - 45)/(-12 - 20) = 2

Slope BC = -1/2

y - 45 = -1/2(x - 20)

y = -1/2x + 10 + 45 = -1/2x + 55

Which corresponds with the point C(6, 52)

A(30, 20) and B(-20, -15)

Slope AB = (20 + 15)/(30 + 20) = 35/50 = 7/10

Slope BC = -10/7

y + 15 = -10/7(x + 20)

y = -10/7x - 10/7*20 - 15 = -10/7x - 305/7

5 0

3 years ago

a can of soup has a volume of 20 pi cubic inches. the diameter of the can is 4 inches. What is the height of the can

ozzi

Answer:

<h3>5 inches</h3>

Step-by-step explanation:

A can is cylindrical in nature and volume of a cylinder is expressed as;

V = πr²h where;

r is the radius of the cylindrical can

h is the height of the can.

Given parameters

Volume of the can of soup = 20πin³

diameter of the can = 4inches

Since diameter = 2r

radius = d/2 = 4/2 = 2inches

Required parameter.

Height of the can

Substituting the given parameters into the formula to get the height h will give;

20π = πr²h

20 = r²h

20 = 2²h

20 = 4h

Divide both sides by 4:

4h/4 = 20/4

h = 5inches

<em>Hence the heighr of the can is 5 inches</em>

4 0

3 years ago

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The answer is 29029
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3 years ago

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3 years ago

In ΔHIJ, the measure of ∠J=90°, IH = 65, HJ = 56, and JI = 33. What is the value of the sine of ∠I to the nearest hundredth?

solmaris [256]

Answer:

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Step-by-step explanation:

Draw the triangle.

Since ∠J=90°, this is a right triangle, so we can use SOH-CAH-TOA to find sin∠I.

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sin∠I = 0.86

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