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borishaifa [10]
3 years ago
15

Students sold 400 tickets to the spring band concert. The students sold adult and child (under 12 years old) tickets. Each adult

ticket was $5.00 and each child ticket was $2.00. The total amount of money earned from the sale of tickets was $1475
Mathematics
1 answer:
Wittaler [7]3 years ago
7 0
You will have a system of equations.
Let's say that the number of adult tickets sold is x. The number of child ticket sold is y.
We know that they sold 400 tickets, so: x + y = 400
We also know that they earned $1475
An adult ticket is $5 and a child ticket is $2, so: x * 5 + y * 2 = 1475
Because x + y = 400, we know that y = 400 - x. We use this in the main equation instead of the variable y:
x * 5 + (400-x) * 2 = 1475
5x + 800 - 2x = 1475
3x + 800 = 1475
3x = 675
x = 225

Because x + y = 400, we can calculate that y = 175

They sold 225 adult tickets and 175 child tickets.
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Researchers have noted a decline in cognitive functioning as people age (Bartus, 1990). However, the results from other research
kolbaska11 [484]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

Yes the researcher can  conclude that the supplement has a significant effect on cognitive skill

b

d =  0.5778

c

The result of this hypothesis test shows that there is sufficient evidence to  that the supplement had significant effect.The measure of effect size is  large due to the large value of Cohen's d (0.5778 > 0.30 )

Step-by-step explanation:

From the question we are told that

  The sample size is  n=16

    The sample mean is  M  =  50.2

    The standard deviation is \sigma  = 9

    The  population mean is  \mu =  45

     The level of significance is  \alpha =  0.05

The null hypothesis is H_o  \mu =45

The alternative hypothesis is H_a  \mu \ne 45

Generally the test statistics is mathematically represented as

          z =  \frac{M -  \mu}{\frac{\sigma}{\sqrt{n} } }

=>       z =  \frac{50.2 - 45}{\frac{9}{\sqrt{16} } }

=>       z =  2.31

Generally the p-value is mathematically represented as

     p-value  =  2 *  P(Z >  z )

      p-value  =  2 *  P(Z >  2.31 )

From the z-table  

      P(Z >  2.31 ) = 0.010444

=>     p-value  =  2 *  0.010444

=>     p-value  =  0.021

From the obtained values we see that p-value <  0.05

 Decision Rule

 Reject the null hypothesis

Conclusion

There is sufficient evidence to conclude that the supplement has a significant effect on the cognitive skill of elderly adults

Generally the Cohen's d for this study is mathematically represented as

    d =  \frac{M  -  \mu}{\sigma }

=>  d =  \frac{50.2 -45}{9 }

=>  d =  0.5778

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Step-by-step explanation:

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The amount of calories that Shannon burn when she runs for 1 hour will be 1012 calories

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Answer:

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