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frutty [35]
3 years ago
8

Find the volume of soup can if the diameter is 6.5 in and the height is 9 in

Mathematics
2 answers:
LenKa [72]3 years ago
6 0

Answer:

V = 95.0625\pi inches

Step-by-step explanation:

The soup can is a cylinder, and since the diameter is 6.5 inches then the radius is 3.25 inches. The formula for the volume of a cylinder is V = \pi r^{2}h, and by plugging in the values we have, we get V = \pi *3.25^{2} *9.

Solving this equation gives us V = 95.0625\pi inches.

Nitella [24]3 years ago
5 0

Answer:

V =298.49625 in^3

Step-by-step explanation:

Volume of a cylinder is given by

V = pi * r^2 *h

We know the diameter so we can find the radius

r = d/2 =6.5/2 = 3.25

and we know the height =9

V = pi * (3.25)^2 *9

V = pi*95.0625

If we approximate by 3.14

V = 3.14*95.0625

V =298.49625 in^3

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If two distinct lines intersect, which is NOT necessarily true?
Thepotemich [5.8K]

Answer:

Option (b) is the answer.

Step-by-step explanation:

If two distinct lines intersect

Then they are not parallel because parallel lines never intersect they go hand in hand

But since, we need to tell which is not true

So, option A is discarded.

Option (c) and (d) are also true hence, discarded.

Option (b) is correct that is the lines are perpendicular this is not true. hence, considered

Therefore, option (b) is the answer.

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2 years ago
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Many manufacturers have quality control programs that include inspection of incoming materials for defects. Suppose a computer m
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Answer:

a) (1,2), (1,3), (1,4), (1,5), (2,3), (2,4),(2,5),(3,4), (3,5) and (4,5)

b)

PX(0) = 0.3

PX(1) = 0.6

PX(2) = 0.1

c)

  • F(x) = 0 if x<0
  • F(x) = 0.3 if 0 ≤ x < 1
  • F(x) = 0.9 if 1 ≤ x < 2
  • F(x) = 1 if x ≥2

Step-by-step explanation:

Lets call the boards 1,2,3,4 and 5

a) There are {5 \choose 2} = 10 possible outcomes: (1,2), (1,3), (1,4), (1,5), (2,3), (2,4),(2,5),(3,4), (3,5) and (4,5).

b) X is 0 if the selected boards doesnt contain 1 or 2. There are {3 \choose 2} = 3 possibilities for this, in concrete, (3,4), (3,5) and (4,5).

PX(0) = 3/10 = 0.3

There is only 1 possibility so that X = 2, which is (1,2), therefore

PX(2) = 1/10 = 0.1

In any other case (there are 6 remaining), X will be equal to 1, so

PX(1) = 6/10 = 0.6

Therefore, X has the following distribution

PX(0) = 0.3

PX(1) = 0.6

PX(2) = 0.1

c) F(0) = 0.3

F(1) = 0.3+0.6 = 0.9

F(2) = 1

We have, as a consequence

  • F(x) = 0 if x<0
  • F(x) = 0.3 if 0 ≤ x < 1
  • F(x) = 0.9 if 1 ≤ x < 2
  • F(x) = 1 if x ≥2

3 0
3 years ago
Flood waters decreased in Death from 15 in to 8. In what was the percent decrease?
erica [24]

Answer: It is 46.667 percent decrease

Step-by-step explanation:

To get the answer you subtract the two values first.

15-8=7

Then divide the answer by the original value. 7/15=0.46667

Then multiply the answer by 100

0.46667x100=46.667

And there you have it. Round as necessary.

5 0
3 years ago
What is the equation, in standard form of the parabola that contains the following points? (-2,18), (0,2), (4,42)
Vladimir79 [104]

Answer: y = 3x^{2} - 2x + 2

Step-by-step explanation:

The equation in standard form of a parabola is given as :

y = ax^{2}  + bx + c

The points given are :

( -2 , 18 ) , ( 0,2) , ( 4 , 42)

This means that :

x_{1} = -2

x_{2} = 0

x_{3} = 4

y_{1} = 18

y_{2} = 2

y_{3} = 42

All we need do is to substitute each of this points into the equation , that is , x_{1} and y_{1} will be substituted to get an equation , x_{2} and y_{2} will be substituted to get an equation and x_{3} , y_{3} will also be substituted to get an equation also.

Starting with the first one , we have :

y = ax^{2}  + bx + c

18 = a[(-2)^{2}] + b (-2) + c

18 = 4a  - 2b + c

Therefore :

4a - 2b + c = 18 ................ equation 1

substituting the second values , we have

2 = a (0) + b ( 0) + c

2 = c

Therefore c = 2   ............... equation 2

also substituting the third values , we have

42 = a[(4)^{2}] + b (4) + c

42 = 16a + 4b + c

Therefore

16a + 4b + c = 42  ........... equation 3

Combining the three equations we have:

4a - 2b + c = 18 ................ equation 1

c = 2   ............... equation 2

16a + 4b + c = 42  ........... equation 3

Solving the resulting linear equations:

substitute equation 2 into equation 1 and equation 3 ,

substituting into equation 1 first we have

4a - 2b + 2 = 18

4a - 2b = 16

dividing through by 2 , we have

2a - b = 8 ............... equation 4

substituting c = 2 into equation 3 , we have

16a + 4b + c = 42

16a + 4b + 2 = 42

16a + 4b = 40

dividing through by 4 , we have

4a + b = 10 ................ equation 5

combining equation 4 and 5 , we have

2a - b = 8 ............... equation 4

4a + b = 10 ................ equation 5

Adding the two equations to eliminate b , we have

6a = 18

a = 18/6

a = 3

Substituting a = 3 into equation 4 to find the value of b , we have

2(3) - b = 8

6 - b = 8

b = 6 - 8

b = -2

Therefore :

a = 3 , b = -2 and c = 2

Substituting these values into the equation of parabola in standard form , we have

y = 3x^{2} - 2x + 2

3 0
3 years ago
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