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netineya [11]
2 years ago
11

6) There are many cylinders with a height of 4 inches.

Mathematics
1 answer:
diamong [38]2 years ago
5 0

Answer:

Please check the explanation.

Step-by-step explanation:

Given

height of cylinder h = 4 inches

Given the table

Radius          Volume

1                     ___

2                    ___

3                    ___

Determining the Volume of the cylinder when r = 1 inch and h = 4 inches

Given

h = 4 inches

r = 1 inch

Using the formula to determine the volume of the cylinder

V = πr²h

V = 3.14×(1)²×(4)

V = 3.14 × 1 × 4

V = 12.56

V ≈ 13  (nearst cubic inch)

Therefore, the volume of cylinder when h = 4 inches and r = 1 inch will be:

V ≈ 13 cubic inches (nearest cubic inch)

Determining the Volume of the cylinder when r = 2 inches and h = 4 inches

Given

h = 4 inches

r = 2 inch

Using the formula to determine the volume of the cylinder

V = πr²h

V = 3.14×(2)²×(4)

V = 3.14 × 4 × 4

V = 50.24

V ≈ 50  (nearst cubic inch)

Therefore, the volume of cylinder when h = 4 inches and r = 2 inches will be:

V ≈ 50 cubic inches (nearest cubic inch)

Determining the Volume of the cylinder when r = 3 inches and h = 4 inches

Given

h = 4 inches

r = 3 inch

Using the formula to determine the volume of the cylinder

V = πr²h

V = 3.14×(3)²×(4)

V = 3.14 × 9 × 4

V = 113.04

V ≈ 113  (nearst cubic inch)

Therefore, the volume of cylinder when h = 4 inches and r = 3 inches will be:

V ≈ 113 cubic inches (nearest cubic inch)

Therefore, we complete the table conclude such as:

Radius          Volume

1                     13

2                    50

3                    113

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2.9 mi

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Now you can write an equation for the time difference t and use the two velocities and the 90 min(= 1.5h) she stays:

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A study sampled 350 upperclassmen (Group 1) and 250 underclassmen (Group 2) at high schools around the city of Houston. The stud
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Answer:

-0.048

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Step-by-step explanation:

From the question we are told that

Sample size n_1=350

Sample size n_2=250

Sample proportion 1  \hat P= \frac{25}{350} =>0.07

Sample proportion 2 \hat P= \frac{19}{250} =>0.076

95% confidence interval

Generally for 95% confidence level

Level of significance

 \alpha = 1-0.95=>0.05

 \alpha /2=\frac{0.05}{2} =>0.025

Therefore

Z_a_/_2=1.96

Generally the equation for confidence interval between P_1 - P_2  is mathematically given as

(\hat P_1-\hat P_2)\pm Z_a_/_2\sqrt{\frac{\hat P_1(1-\hat P_1)}{n_1}+\frac{\hat P_2(1-\hat P_2)}{n_2}  }

(0.07-0.076)\pm 1.96\sqrt{\frac{0.07(1-0.07)}{350}+\frac{0.076(1-0.076)}{250}  }

(0.07-0.076)\pm 1.96\sqrt{4.66896*10^-^4  }

(-0.006)\pm 0.042

(-0.006)- 0.042=>-0.048

(-0.006)+ 0.042=>0.036

Therefore

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Conclusion

Given the confidence interval has zero

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What is the equation, in standard form, of a parabola that models the values in the table?
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Answer:

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Step-by-step explanation:

For the standard form equation to model the values in the table, each value of x in the table should give the matching the y value when substituted into the equation. We will test each equation:

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This does give 4 as the answer and is a possible solution.

<u>Y=4x^2-3x-6 for (-2,4)</u>

Y=4(-2)^2-3(-2)-6=4(4)+6-6=16+6-6=16\\

This does not give 4 as the answer and is not a solution.

<u>Y=-4x^2-3x-6 for (-2,4)</u>

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