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const2013 [10]
3 years ago
10

A sheet of standard size copy paper measures 8.5 inches by 11 inches. If a ream is 500 sheets of paper has a volume of 187 inche

s cube. How thick is the ream?
Mathematics
1 answer:
AURORKA [14]3 years ago
7 0

Answer:

\large \boxed{\text{2.00 in}}  

Step-by-step explanation:

The formula for the volume of a rectangular solid is  

V = lwh

\begin{array}{rcl}V & = & lwh\\187 & = & 8.5 \times 11 \times h\\& = & 93.5h\\h & = &\dfrac{187}{93.5}\\\\& = & \textbf{2.00 in}\\\end{array}\\\text{The ream is $\large \boxed{\textbf{2.00 in}}$ thick.}

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a) The study is an observational study

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a) An experimental study is a study in which the researcher adds inputs to the study and then monitors the outcomes

An observational study is one in which the researcher observes risk factors and does not intervene in the process

Therefore, the study is an observational study

b) The proportion of children with significant social activity in children with acute lymphoblastic leukemia is \hat p_1 = 1020/1272 = 85/106 = 0.8\overline {0188679245283} ≈ 0.802

The proportion of children with significant social activity in children without acute lymphoblastic leukemia is \hat p_2 = 5343/6238 ≈ 0.8565

c) We have the following two way table;

\begin{array}{ccc}Lymphoblastic \ Leukemia &With \ Social \ Activity & Without \ Social \ Activity\\With&1020 \ (a)&252 \ (b)\\Without&5343 \ (c)&895 \ (d) \end{array}

The \ odds \ ratio = \dfrac{1,020 \times 895}{5,343 \times 252} \approx 0.6780

The odds ratio ≈ 0.6780

d) The 95% confidence interval for the odds ratio is given as follows;

95 \% \ CI = OR \ \pm \ 1.96 \times \sqrt{\dfrac{1}{a} +\dfrac{1}{b}+\dfrac{1}{c}+\dfrac{1}{d}}

Where;

a = 1020, b = 252, c = 5343, d = 895

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95 \% \ CI \approx  0.6780 \ \pm \ 1.96 \times \sqrt{\dfrac{1}{1,020} +\dfrac{1}{252}+\dfrac{1}{5,343}+\dfrac{1}{895}} \approx 0.678 \pm0.155

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ii) Based on the proportion of the study findings, children with more social activity have a higher occurrence of acute lymphoblastic leukemia

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