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2 years ago

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Attendance at last year's show was 16,000 people. This year 16,800 people attended the show. What was the percent change in atte

ndance, relative to last year's show?

1 answer:

ozzi2 years ago

3 0

The percent change in attendance, relative to last year's show is a 5% increase.

<h3>What is a percentage? </h3>

A Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred.

<h3>What is the percentage change in attendance? </h3>

The value of the percentage change in attendance can be determined by subtracting the number of people in this year's show from the number of people at last year's show. The result would be divided by the number of people at last year's show and multiplied by 100.

[(16,800 - 16,000)/16,000] x 100 = 5%

To learn more about percentages, please check: brainly.com/question/25764815

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Lisa purchased a hat for $10 , a purse for $20 and a book for $23 the sales-tax rate was 7.2 percent what was the total amount s

Lubov Fominskaja [6]

Answer: 56.816
Step by step: 10+20+23=53
7.2% of 53= 3.816
53+3.816=56.816

8 0

2 years ago

Mrs.Steﬀen’s third grade class has 30 students in it. The students are divided into three groups(numbered 1, 2,and 3),each havin

qaws [65]

Answer:

a. $\\ 10! = 3628800$ ;

b. $\\ 10!*10!*10! = 47784725839872000000 = 4.7784725839872*10^{19}$

Step-by-step explanation:

We need here to apply the <em>Multiplication Principle </em>or the <em>Fundamental Principle of Counting</em> for each answer. Answer <em>b</em> needs an extra reasoning for being completed.

The <em>Multiplication Principle</em> states that if there are <em>n</em> ways of doing something and <em>m</em> ways of doing another thing, then there are <em>n</em> x <em>m</em> ways of doing both (<em>Rule of product</em> (2020), in Wikipedia).

<h3>In how many ways can ten students line up? </h3>

There are <em>ten</em> students. When one is selected, there is no other way to select it again. So, <em>no repetition</em> is allowed.

Then, in the beginning, there are 10 possibilities for 10 students; when one is selected, there are nine possibilities left. When another is selected, eight possibilities are left to form the file, and so on.

Thus, we need to multiply the possibilities after each selection: that is <em>why</em> the <em>Multiplication Principle</em> is important here.

This could be expressed mathematically using n!:

$\\ n! = n * (n-1)! * (n-2)! *...* 2*1.$

For instance, $\\ 5! = 5 * (5-1)! * (5-2)! *...*2*1 = 5 * 4 * 3 * 2 * 1 = 120.$

So, for the case in question, the <em>ten</em> students can line up in:

$\\ 10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 3628800$ ways to line up in a single file.

<h3>Second Question</h3>

For this question, we need to consider the former reasoning with extra consideration in mind.

The members of Group 1 can occupy <em>only</em> the following places in forming the file:

$\\ G1 = \{ 1, 4, 7, 10, 13, 16, 19, 22, 25, 28\}^{th}$ <em>places</em>.

The members of Group 2 <em>only</em>:

$\\ G2 = \{ 2, 5, 8, 11, 14, 17, 20, 23, 26, 29\}^{th}$ <em>places</em>.

And the members of Group 3, the following <em>only</em> ones:

$\\ G3 = \{ 3, 6, 9, 12, 15, 18, 21, 24, 27, 30\}^{th}$ <em>places.</em>

Well, having into account these possible places for each member of G1, G2 and G3, there are: <em>10! ways</em> for lining up members of G1; <em>10! ways</em> for lining up members of G2 and, also, <em>10! ways</em> for lining up members of G3.

After using the <em>Multiplication Principle</em>, we have, thus:

$\\ 10! * 10! * 10! = 47784725839872000000 = 4.7784725839872 *10^{19}$ <em>ways the students can line up to come in from recess</em>.

3 0

2 years ago

The graph of a linear function is shown which word describes the slope of the line the choices and graph is below

aliya0001 [1]

<h2>Answer </h2>

negative

<h2>Explanation </h2>

Let's find the slope of our line using the slope formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

where

$m$ is the slope of the line

$(x_{1},y_{1})$ are the coordinates of the first point on the line

$(x_{2},y_{2})$ are the coordinates of the second point

From the graph we can get the points (-2, 1) and (2, -1), so $x_{1}=-2$ , $y_{1}=1$ , $x_{2}=2$ , and $y_{2}=-1$ . Let's replace the values in our formula to find $m$ :

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{-1-1}{2-(-2)}$

$m=\frac{-2}{2+2}$

$m=\frac{-2}{4}$

$m=-\frac{2}{4}$

$m=-\frac{1}{2}$

The slope of the graph of the linear function is $-\frac{1}{2}$ ; since $-\frac{1}{2}$ is a negative number, the slope of the graph is negative.

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Answer:

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Step-by-step explanation:

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2 years ago

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Zigmanuir [339]

The answer is 14 miles. Make the inequality 3+1.5x is less than or equal to 24. Subtract 3 from both sides. Then divide that from 1.5.

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3 years ago