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Nikitich [7]
4 years ago
8

Bob travels from Inglewood to Anytown, a distance of 20kilometres, he walks 800 metres and bicylces the rest of the way. what pe

rcentage does he travel by bicylce?
Mathematics
1 answer:
sukhopar [10]4 years ago
5 0

For this case we have the following conversion:

1 km = 1000m

Therefore, for 20 kilometers we have:

(20) (1000) = 20000 m

Then, we have the following relationship:

800 + x = 20000

Where,

x: distance Bob travels by bicycle

Clearing x we have:

x = 20000 - 800\\x = 19200

Then, the percentage that Bob travels by bicycle is:

(\frac{19200}{20000}) * (100) = 96%

Answer:

The percentage that Bob travels in bicycle is 96%.

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What is the slope and y intercept y+4= -4/7(x-5)
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Answer:

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Step-by-step explanation:

y+4=-4/7(x-5)

7y+28=-4(x-5)

7y+28=-4x+20

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y=-4/7x-8/7

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The equation to model Exponential Growth is:
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Your salary in x years is modeled an the exponential growth

The equation that determines your salary in x years is y = 45000(1.05)^x

<h3>How to model the salary growth?</h3>

The model of the exponential growth is given as:

y = a(1 + r)^x

From the question, we have:

Initial salary, a = 45000

Raise, r = 5%

So, the equation becomes

y = 45000(1 + 5%)^x

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y = 45000(1.05)^x

Hence, the equation that determines your salary in x years is y = 45000(1.05)^x

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5 0
2 years ago
A manager at an amusement park wants to know how popular the park's biggest roller coaster is. She counts the number of people w
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Answer: minimum = 0.5

maximum = 9.0

first quartile = 3

median = 5.5

third quartile = 7.5

Step-by-step explanation:

The histogram is shown below and used to obtain the various information

Time (hour) (X)     No of People (F)       FX

0.5                             19                            9.5  -- minimum = 0.5    

1                                20                            20

1.5                              21                             31.5

2                                 22                            44

2.5                              23                            57.5

3                                 24                             72 ----first quartile = 3

3.5                              26                             91

4                                 27                              108

4.5                             28                               126

5                                29                                145

5.5                            30                               165 --median/ inter quartile =5.5

6                               31                                186

6.5                           32                                208

7                               33                                 231

7.5                            34                                255-- third quartile = 7.5

8                               35                                280

8.5                            36                               306        

9                                37                              333 --- maximum = 9

T=85.5                   T = 507                      T=  2666.82     T = TOTAL

mean = sumFX/sumF  =   2666.82/507 = 5.26

Median = middle number = inter quartile =5.5 (507/2 = 253.5 = 254 and  add the frequency from top = 19+20+21+ 22+ 23+ 24+26+ 27+ 28+ 29 =269

and 254  close to 269 that is the frequency is within the range and corresponds to 5.5

first quartile = 1/4 *507 = 126.75 = 127 ( add the frequency from top= 19+20+21+ 22+ 23+ 24= 129 and 127 is close to 129)

third quartile = 3/4 * 507 = 380.25 ( add the frequency from top = 19+20+21+ 22+ 23+ 24+26+ 27+ 28+ 29+ 30+ 31+32+ 33+ 34 = 399 and 380 is close to 399 so the third quartile is 7.5

minimum is the one with lowest frequency = 0.5 at 19

maximum  or mode is the one with highest frequency = 9 at 37

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