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3 years ago

Please help me on #18, don't know how to do the question.

Mathematics

1 answer:

svetlana [45]3 years ago

8 0

Option B) Determine the volume of the cake V= πr²h and divide that amount by 18

<u>Step-by-step explanation:</u>

It is given that, the birthday cake is in the shape of the cylinder.
Therefore, to find the entire volume of the cake, the volume of the cylinder formula is used.

<u>The volume of the cylinder is given by,</u>

Volume of the birthday cake = πr²h

After that, it was asked to find the volume of each piece of the cake.

In this case, the birthday cake is cut into 18 pieces.

We already know the total volume of the birthday cake which is πr²h.

In order to find the volume of each piece of cut cake, the total volume must be divided by the number of parts it has been cut into pieces.

Here, the whole part of the cake is 1.

The number of parts it has been divided after it is made into pieces = 18 parts.

Therefore, the volume of the birthday cake must be divided by 18 to get the volume of each piece of cake.

Option B) Determine the volume of the cake V= πr²h and divide that amount by 18 is correct.

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Find the interquartile range of the following data set.

BigorU [14]

The interquartile range of 48, 26, 31, 50, 38, 40, 42, 34, 44, 36, is: D. 10.

<h3>What is the Interquartile Range of a Data Distribution?</h3>

The interquartile range of a data distribution is determined as: upper quartile (Q3) - lower quartile (Q1).

<h3>How to Find the Upper Quartile and Lower Quartile of a Data Distribution?</h3>

The upper quartile of a data distribution is the center of the second half of a data distribution while the lower quartile is the center of the first half of a data distribution.

Given the data, 48, 26, 31, 50, 38, 40, 42, 34, 44, 36:

Order the data set as, 26, 31, 34, 36, 38, 40, 42, 44, 48, 50

The first half of the data is: 26, 31, 34, 36, 38.

The center is 34.

Lower quartile (Q1) = 34.

The second half of the data is: 40, 42, 44, 48, 50. The center is 44.

Upper quartile (Q3) = 44.

Interquartile range = 44 - 34

Interquartile range = 10

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6 0

2 years ago

Here is the histogram of a data distribution. All class widths are 1.

stich3 [128]

The median of the data is 5 if the all class widths are 1, option (C) is correct.

<h3>What is the median?</h3>

A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.

In the histogram, 15 data values are given:

1, 2, 2, 3, 3, 3, 4, 5, 6, 6, 7, 7, 7, 8, 9

The mid-value is 5 which is on the 8th place

Thus, the median of the data is 5 if the all class widths are 1, option (C) is correct.

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8 0

2 years ago

A ____ parser is called a shift-reduce algorithm, because in most cases it either shifts the next lexeme of input onto the parse

Andrews [41]

A LR parser is called a shift-reduce algorithm, because in most cases it either shifts the next lexeme of input onto the parse stack or reduces the handle that is on top of the stack.

<u>Explanation:</u>

A parser is that aspect of the compiler which practices a token string as input and with the sustenance of enduring grammar, transforms it into the identical parse tree. The LR parser is a non-recursive, shift-reduce, bottom-up parser. It utilizes a broad range of context-free grammar which gives it the most valuable syntax analysis procedure.

LR means that the data is examined left-to-right and that a rightmost source, in reverse, is assembled. LR parsers relish time and space extended in the size of the input. Practically all programming languages possess LR grammars.

8 0

4 years ago

What is the slope of the line passing through the points (1, 2) and (5, 4)?

bulgar [2K]

<h2>SOLVING</h2>

$\Large\maltese\underline{\textsf{A. What is Asked}}$

What is the slope of the line passing through the point (1,2) and (5,4)

$\Large\maltese\underline{\textsf{This problem has been solved!}}$

Formula used, here $\bf{\dfrac{y2-y1}{x2-x1}$

_______________________________________________________

$\bf{\dfrac{4-2}{5-1}$ | simplify

$\bf{\dfrac{2}{4}$ | reduce

$\bf{\dfrac{1}{2}$

$\rule{300}{1.7}$

$\bf{Result:}$

$\bf{=Slope:\dfrac{1}{2}$

$\boxed{\bf{aesthetic\not101}}$

3 0

2 years ago

Read 2 more answers

Point P is located at (−2, 7) and point R is located at (1, 0). Find the y value for the point Q that is located the distance fr

Contact [7]

Ok so whit the data that we got we can proceed like this:
[(-2, 7), (1, 0)]
d = 2/3
Now lets find the difference between x and y terms.
The difference of -2 and 1 is 3,
The difference of 7 and 0 is 7.
x = 3 y = 7
Now Multiply it by two thirds.
2/3 * 3 = 2 2/3 * 7 = 4.7
So the answer is the second option. Hope this helps
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4 0

3 years ago