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babymother [125]
2 years ago
6

Two families went to Rollercoaster World.

Mathematics
1 answer:
Alona [7]2 years ago
6 0

Answer:

Children ticket cost $30 and adult ticket costs $40.

Step-by-step explanation:

Given that:

x = price of a child ticket

y = price of an adult ticket

According to given statement;

3x+2y=170     Eqn 1

4x+6y=360    Eqn 2

Multiplying Eqn 1 by 3

3(3x+2y=170)

9x+6y=510      Eqn 3

Subtracting Eqn 2 from Eqn 3

(9x+6y)-(4x+6y)=510-360

9x+6y-4x-6y=150

5x=150

Dividing both sides by 5

\frac{5x}{5}=\frac{150}{5}\\x=30

Putting x=30 in Eqn 1

3(30)+2y=170

90+2y=170

2y = 170-90

2y = 80

Dividing both sides by 2

\frac{2y}{2}=\frac{80}{2}\\y=40

Hence,

Children ticket cost $30 and adult ticket costs $40.

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The average number of employees that call in sick for the day over the course of a year is 25.
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Answer:

<h3>x¯= 23.8 </h3><h3>μ= 8.2 </h3>

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The mean of a set of numbers is the sum divided by the number of terms.

x¯= <u>25+10+16+39+27+25+32+25+25+22+28+14</u>

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The mean should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

x¯=23.8

<h3>Simplify each value in the list. </h3>

25,10,16,39.27,25,32,25,25,22,28,14

Set up the formula for sample standard deviation. The standard deviation of a set of values is a measure of the spread of its values.

s=  n^∑  i=1    √(<u>xi−xavg</u>)²

                            N-1

             

Set up the formula for standard deviation for this set of numbers.

s= ⎷(25−23.8)²+(10−23.8)²+(16−23.8)²+(39.27−23.8)²+(25−23.8)²+<u>(32−23.8)²+(25−23.8)²+(25−23.8)²+(22−23.8)²+(28−23.8)²+(14−23.8)</u>²

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<h3>Simplify the result. </h3>

 

s= √68.05209

The standard deviation should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

8.2

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3 years ago
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Answer:

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Step-by-step explanation:

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  x² +8x +16 = (x +4)²

Assuming the side length is one of the factors of the given area, it will be ...

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