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Rudik [331]
3 years ago
8

An oblique cylinder has a diameter of 14 units. The volume of the cylinder is 1,176π cubic units. An oblique cylinder has a diam

eter of 14 units. The volume of the cylinder is 1,176 pi cubic units. What is x, the height of the cylinder? 21 units 24 units 25 units 28 units
Mathematics
2 answers:
Talja [164]3 years ago
6 0

Answer:

B) 24

Step-by-step explanation:

frozen [14]3 years ago
3 0

Answer: The height of the cylinder is 24 units.

Step-by-step-explanation: The volume of a cylinder is calculated as

Volume = Pi x r^2 x h

Where r is the radius, and h is the height. The radius shall be derived as half of the diameter, that is, half of 14 units which equals 7 units. The volume has been given as 1176 Pi cubic units. We can now substitute for the values given as follows;

1176 Pi = Pi x 7^2 x h

1176 Pi = Pi x 49 x h

By cross multiplication we now have

(1176 Pi)/49 Pi = h

1176/49 = h

24 = h

Therefore the height of the cylinder is 24 units.

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6 + 23(3)

6 + 69

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3 years ago
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the brain volumes ​(​) of 50 brains vary from a low of to a high of . use the range rule of thumb to estimate the standard devia
Sloan [31]

The estimated standard deviation from the range rule is 145.5 cm3.As it is 29.8 cm3 smaller than the exact standard deviation, we consider that the estimation is not accurate enough.

Generally, brain volumes which are smaller than 921.1 cm3 can be considered significantly low and bigger than 1417.5 cm3 can be considered significantly high. Hence, brain volume of 1457.5 cm3 is bigger than the expected maximum, so it can be considered significantly high.

The calculation goes like this,

According to the range rule, the standard deviation and range, or the distance between the maximum and smallest value, are roughly inversely proportional:

s=R/4

If we have a sample of 50 brains volumes, and they range from 910 cm3 to 1492 cm3, we can estimate the standard deviation as:

s=max-min/4

s=1492-910/4=582/4=145.5

The exact standard deviation is 175.3 cm3.The difference is 175.3-145.5=29.8 cm3, so the estimation is not accurate enough.

The range rule of thumb states that we should anticipate a maximum value that is approximately two standard deviations above the mean and a lowest value that is approximately two standard deviations below the mean. The expected ranges are as follows given our mean volume of 1169.3 cm3 and standard deviation of 124.1 cm3:

Min= M-2s=1169.3-2*124.1=921.1

Max=M+2s=1169.3+2*124.1=1417.5

The brain capacity of 1457.5 cm3 can be regarded as significantly high because it is higher than the predicted maximum.

To know about standard deviation click here :

brainly.com/question/23907081

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5 0
1 year ago
A bag is filled with 100 marbles that are all the same size and shape each marble has one color the number of marbles in a color
Svetlanka [38]

Answer: 21/100

Step-by-step explanation:

Number of green marbles = 21

Number of blue marbles = 35

Number of red marbles = 18

Number of yellow marbles = 26

Total number of marbles = 100

The probability of choosing a free marble will be:

= Number of green marbles / Tot number of marbles

= 21 / 100

4 0
3 years ago
Anser true or false:
kakasveta [241]

Answer:

true

Step-by-step explanation:

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Write m=-3 and (3,-1) in point slope form
Art [367]

Answer:

(y+1)= -3(x-3)

Step-by-step explanation:

Use Point-Slope Formula

(y-y_{1} )=m(x-x_{1} )

Substitute

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7 0
3 years ago
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