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2 years ago

The two-way table below shows the number of tickets sold for performances to the school play.

1 answer:

7 0

Twenty-five more tickets were sold to the Sunday shows than to the Saturday shows. The correct answer is option c.

<h3>What are statistics?</h3>

The practise or science of organising and interpreting numerical data in big quantities, particularly for the objective of concluding proportions in a whole from those in an expected sample.

The table is given as:-

Time Saturday Sunday

12 pm 178 211

4 pm 204 212

8 pm 212 196

Total -------------------------------

594 619

The difference between the two shows on Sunday and Saturday is:-

Difference = 619 - 594 = 25 tickets

Therefore twenty-five more tickets were sold to the Sunday shows than to the Saturday shows. The correct answer is option c.

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What is the solution of x=2+ square root x-2?

alex41 [277]

So I'm going to assume that this question is asking for <u>non extraneous solutions</u>, or solutions that are found in the equation <em>and</em> are valid solutions when plugged back into the equation. So firstly, subtract 2 on both sides of the equation:

$x-2=\sqrt{x-2}$

Next, square both sides:

$(x-2)^2=x-2\\(x-2)(x-2)=x-2\\x^2-4x+4=x-2$

Next, subtract x and add 2 to both sides of the equation:

$x^2-5x+6=0$

Now we are going to be factoring by grouping to find the solution(s). Firstly, what two terms have a product of 6x^2 and a sum of -5x? That would be -3x and -2x. Replace -5x with -2x - 3x:

$x^2-2x-3x+6=0$

Next, factor x^2 - 2x and -3x + 6 separately. Make sure that they have the same quantity on the inside of the parentheses:

$x(x-2)-3(x-2)=0$

Now you can rewrite the equation as $(x-3)(x-2)=0$

Now, apply the Zero Product Property and solve for x as such:

$x-3=0\\x=3\\\\x-2=0\\x=2$

Now, it may appear that the answer is C, however we need to plug the numbers back into the original equation to see if they are true as such:

$2=2+\sqrt{2-2}\\2=2+\sqrt{0}\\2=2+0\\2=2\ \textsf{true}\\\\3=2+\sqrt{3-2}\\3=2+\sqrt{1}\\3=2+1\\3=3\ \textsf{true}$

Since both solutions hold true when x = 2 and x = 3, <u>your answer is C. x = 2 or x = 3.</u>

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The perimeter of a rectangle is 286 meters. Find the length and width if the length is an integer and the width is 5 times the n

Andreyy89

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Step-by-step explanation:

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21. B. Graph Z

23. A. neither function nor relation

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Step-by-step explanation:

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