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Phoenix [80]
3 years ago
14

A two-person relay race consists of eight times around a football field. Juan runs four and one-sixth times and Antonio runs thr

ee and two-thirds times around the field. What are the distances they ran as improper fractions? A. Juan: 25⁄6 ; Antonio: 11⁄3 B. Juan: 32⁄3 ; Antonio: 41⁄6 C. Juan: 41⁄6 ; Antonio: 32⁄3 D. Juan: 11⁄3 ; Antonio: 25⁄6
Mathematics
1 answer:
Serga [27]3 years ago
5 0

Answer:

A


Step-by-step explanation:


To convert mixed number as improper fractions, use this rule:

A\frac{B}C}=\frac{(A*C)+B}{C}


<u>For Juan:</u>  (4\frac{1}{6})

4\frac{1}{6}=\frac{(4*6)+1}{6}=\frac{25}{6}


<u>For Antonio:</u>  (3\frac{2}{3})

3\frac{2}{3}=\frac{(3*3)+2}{3}=\frac{11}{3}


Answer choice A is correct.


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Step-by-step explanation:

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Write a function g whose graph represents a reflection in the y-axis followed by a translation 3 units to the right of the graph
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Answer:

g(x)  = |x - 3|

Step-by-step explanation:

Given

f(x) = |x|

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<em>Where h is the unit of translation</em>

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<em></em>

<em></em>g(x) = f(x - 3)<em></em>

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2 years ago
The Springfield Middle School sixth-grade teachers of history, science, and art are listed in the table.
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Answer:

Step-by-step explanation:

The Springfield Middle School sixth-grade teachers of history, science, and art are listed in the table. How many combinations of one history, one science teacher, and one art teacher

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8 0
2 years ago
Read 2 more answers
The weight, in pounds, of a newborn baby t months after birth can be modeled by W. A graph of W is shown below. Write an equatio
Agata [3.3K]

the First we need to choose two points in the graph

(0,6)=(t1,w1)

(1,7)=(t2,w2)

the variables are t and w

then we can calculate the slope

m=\frac{w2-w1}{t2-t1}=\frac{7-6}{1-0}=\frac{1}{1}=1

the equation of W is

where

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\begin{gathered} W=mt+b \\ W=1\cdot t+6 \\ W=t+6 \end{gathered}

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5 0
1 year ago
A sport analyst wants to determine the mean salary of a Baseball player for 2015. He believes an estimate of this average salary
djyliett [7]

Answer:

<em>The large sample size 'n' =  199.6569≅ 200</em>

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given Standard deviation of salary for all baseball players for 2015 is about $5,478,384.55

<em>Standard deviation of  of salary for all baseball players for 2015 </em>

<em>   (S.D ) σ =  $5,478,384.55</em>

Given estimate of this average salary for all baseball players for 2015

                          =  $497,000

<em>Given Margin of error of error is  =  $497,000 </em>

<em>Level of significance ∝ = 80% </em>

<em>The critical value Z₀.₂₀ = 1.282  </em>

<u><em>Step(ii):</em></u><em>-</em>

<em>Margin of error of error is  determined by</em>

<em>           </em>M.E = \frac{Z_{0.20} S.D}{\sqrt{n} }<em></em>

<em>          </em>497,000 = \frac{1.282 X 5,478,384.55}{\sqrt{n} }<em></em>

Cross multiplication , we get

 \sqrt{n}  = \frac{1.282 X 5,478,384.55}{497,000 }

On calculation , we get

√n = 14.13

<em>Squaring on both sides, we get</em>

n = 199.6569

<u><em>Conclusion</em></u><em>:-</em>

<em>The large sample size 'n' =  199.6569≅ 200</em>

<em>    </em>

<em></em>

7 0
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