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insens350 [35]
3 years ago
5

A young sumo wrestler decided to go on a special diet to gain weight rapidly. He gained weight at a constar

Mathematics
1 answer:
Masteriza [31]3 years ago
7 0

Answer:

  • <u>5.2 kg per month.</u>

<u></u>

Explanation:

The measure of how fast the wrestler gained weight, in kg per month, is the  weight gain rate.

The table is:

Time (months)           Weight (kg)

    0.5                             80.6

    2                                 88.4

    3.5                              96.2

The weight gain rate, WGR, for a period may be calculated as:

  • WGR = [ weight gain ] / [period]

  • WGR = [final weight - initial weight] / [final time - initial time]

  • WGR₁ = [88.4 kg - 80.6 kg] / [2 month - 0.5 month] = 7.8 kg / 1.5 month = 5.2 kg / month

  • WGR₂ = [96.2 kg - 88.4 kg] / [3.5 month - 2 month] = 7.8 kg / 1.5 month = 5.2 kg / month.

As you see, the wrestler gained weight at a constant rate of 5.2 kg per month.

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Answer:

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Step-by-step explanation:

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In 1987 Babe Ruth has a record setting season in which he hit 60 home runs for New York Yankees. If babe Ruth continues at the s
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Answer:

If he maintains the same rate he'll hit 180 home runs over the next three seasons.

Step-by-step explanation:

If he maintains the same rate of homeruns per season as he did in 1987 the number of home runs he'll hit over the next three seasons is the rate from 1987 multiplied by 3. We have:

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3 years ago
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BlackZzzverrR [31]

Answer:

the correct one is c, which is the second option

Step-by-step explanation:

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3 years ago
If g (x) = 1/x^2 then g (x+h) - g (x)/h
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4 0
3 years ago
A resident of Bayport claims to the City Council that the proportion of Westside residents
Kazeer [188]

Answer:

The test statistics is  z =  -1.56  

The p-value is   p-value =  0.05938

Step-by-step explanation:

From the question we are told  

   The West side sample  size is n_1  =  578

    The  number of residents on the West side with income below poverty level is k  = 76

    The East side sample size  n_2=688

  The  number of residents on the East side with income below poverty level is u  = 112

   The null hypothesis is  H_o  :  p_1 = p_2

    The alternative hypothesis is  H_a :  p_1 <  p_2

Generally the sample proportion of  West side is  

     \^{p} _1 = \frac{k}{n_1}

=>   \^{p} _1 = \frac{76}{578}

=>   \^{p} _1 =  0.1315

Generally the sample proportion of  West side is  

     \^{p} _2 = \frac{u}{n_2}

=>   \^{p} _2 = \frac{112}{688}

=>   \^{p} _2 =  0.1628

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=>  p = \frac{76 + 112}{ 578 + 688 }

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Generally the test statistics is mathematically represented as

z = \frac{\^ {p}_1 - \^{p}_2}{\sqrt{p(1- p) [\frac{1}{n_1 } + \frac{1}{n_2}  ]}  }

=> z = \frac{ 0.1315  - 0.1628 }{\sqrt{0.1485(1-0.1485) [\frac{1}{578} + \frac{1}{688}  ]}  }  

=> z =  -1.56  

Generally the p-value  is mathematically represented as

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From z-table  

         P(z <  -1.56 ) =  0.05938

So

     p-value =  0.05938

3 0
3 years ago
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