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bazaltina [42]
2 years ago
14

A person is 2 meters tall casts a shadow 6 meters long. At the same time, a flagpole casts a shadow 24 meters long. How tall is

the
flagpole?
2m
бm
24m
Mathematics
1 answer:
Alexandra [31]2 years ago
4 0

Answer:

8 meters

Step-by-step explanation:

Given that:

Height of person = 2metres

Length of person's shadow = 6 meters

Height of flagpole =?

Length of flagpole shadow = 24 meters

Height of person = length of person's shadow

Height of flagpole = length of person's shadow

2 = 6

x = 24

Cross multiply

6x = 48

x = 48 / 6

x = 8 meters

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Researchers have noted a decline in cognitive functioning as people age (Bartus, 1990). However, the results from other research
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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

3 0
3 years ago
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