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blsea [12.9K]
1 year ago
6

There are 5 girls and 3 adults in Rileys field trip group.

Mathematics
1 answer:
Zanzabum1 year ago
6 0

The group attended to the museum. They were 8 girls and 6 adults. So, we should calculate the total paid amount for the 6 adults, then calculate the paid amount for the 8 girls and then add up this two results.

The ticket for an adult costs $50. Since we have 6 adults, the amount paid for the adults' ticket was

50\text{ + 50 + 50 + 50 + 50 +50 = 6}\cdot50\text{ = 300}

So the adults' tickets costed 300. For the girls, one child ticket costs $30. So, the amount paid for the girls' tickets was

8\cdot\text{ 30 = 240}

So the total amount paid is 300+240 = 540.

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yawa3891 [41]

Answer:

The weight of an adult male who is 172 cm tall is 89.36 kg.

Step-by-step explanation:

The regression equation representing the relationship between height and weight of a person is:

\hat y=-105+1.13x

Here

<em>y</em> = weight of a person

<em>x</em> = height of a person

The information provided is:

\bar x=167.90\ cm\\\bar y=81.47\ kg\\r (X, Y) = 0.228\\p-value=0.023\\\alpha =0.05

The hypothesis to test the significance of the correlation between height and weight is:

<em>H₀</em>: There is no relationship between the height and weight, i.e. <em>ρ</em> = 0.

<em>Hₐ</em>: There is a relationship between the height and weight, i.e. <em>ρ </em>≠ 0.

Decision rule:

If the <em>p</em>-value of the test is less than the significance level, then the null hypothesis will be rejected and vice-versa.

According to information provided:

<em>p</em>-value = 0.023 < <em>α</em> = 0.05

The null hypothesis was rejected at 5% level of significance.

Thus, concluding that there is a relationship between the height and weight.

Compute the weight of an adult male with height, <em>x</em> = 172 cm as follows:

\hat y=-105+1.13x

  =-105+(1.13\times 172)\\=-105+194.36\\=89.36

Thus, the weight of an adult male who is 172 cm tall is 89.36 kg.

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