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scoundrel [369]
3 years ago
6

A total of 448 tickets were sold for the school play. They were either adult tickets or student tickets. The number of students

tickets sold was three times the number of adult tickets sold. How many tickets were sold
Mathematics
2 answers:
olga55 [171]3 years ago
7 0

Kid tickets = 3d

D = adult tickets

448 = (3 * d) + d

448 = 4d

448/4 = 112

112 = d

3 * d = 336

There are 336 kid tickets and 112 adult tickets sold.

kati45 [8]3 years ago
7 0

Answer:

Students = 336

Adults = 112

Step-by-step explanation:

What you do is you have to make it into an equation.

<em>Students = 3x</em>

<em>Adults = x</em>

<em>x + 3x = 448</em>

<em>4x = 448</em>

<em>x = 112.</em>

There are 112 adults that went.

You will now times 112 by 3

<em>112 x 3 = 336.</em>

Students = 336

Adults = 112

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a) 98.522

b) 0.881

c) The correlation coefficient and co-variance shows that there is positive association between marks and study time. The correlation coefficient suggest that there is strong positive association between marks and study time.

Step-by-step explanation:

a.

As the mentioned in the given instruction the co-variance is first computed in excel by using only add/Sum, subtract, multiply, divide functions.

Marks y Time spent x y-ybar x-xbar (y-ybar)(x-xbar)

77                    40 5.1         1.3 6.63

63                     42 -8.9            3.3 -29.37

79                     37 7.1            -1.7 -12.07

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47                    28 -24.9 -10.7 266.43

Covariance=\frac{sum[(y-ybar)(x-xbar)]}{n-1}

Co-variance=886.7/(10-1)

Co-variance=886.7/9

Co-variance=98.5222

The co-variance computed using excel function COVARIANCE.S(B1:B11,A1:A11) where B1:B11 contains Time x column and A1:A11 contains Marks y column. The resulted co-variance is 98.52222.

b)

The correlation coefficient is computed as

Correlation coefficient=r=\frac{sum[(y-ybar)(x-xbar)]}{\sqrt{sum[(x-xbar)]^2sum[(y-ybar)]^2} }

(y-ybar)^2 (x-xbar)^2

26.01        1.69

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Correlation coefficient=r=\frac{886.7}{\sqrt{520.1(1946.9)} }

Correlation coefficient=r=\frac{886.7}{\sqrt{1012582.69} }

Correlation coefficient=r=\frac{886.7}{1006.2717 }

Correlation coefficient=r=0.881

The correlation coefficient computed using excel function CORREL(A1:A11,B1:B11) where B1:B11 contains Time x column and A1:A11 contains Marks y column. The resulted correlation coefficient is 0.881.

c)

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The excel file is attached on which all the related work is done.

Download xlsx
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