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olga55 [171]
2 years ago
8

Stefan sells Jin a bicycle for $147 and a helmet for $18. The total cost for Jim is 150% of what Stefan spent originally to buy

the bike and helmet. How much did Stefan spend originally?
Mathematics
1 answer:
soldi70 [24.7K]2 years ago
4 0

Answer:

He spent $110.00 on both originally

Step-by-step explanation:

Add both prices too get 165

Then use the equation \frac{150}{100} = \frac{165}{x}

cross multiply to get 150x=16500

Divide 16500 by 150 to get x alone

x= 110

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The number of tickets issued by a meter reader for parking-meterviolations can be modeled by a Poisson process with a rateparame
Doss [256]

Answer:

Step-by-step explanation:

Let X be the  number of tickets issued by a meter reader for parking-meterviolations can be modeled by a Poisson process with a rateparameter of five per hour.

X is Poisson with parameter =5per hour

a) the probabilitythat exactly three tickets are given out during a particular hour

=P(X=3)=0.14037

b)  the probabilitythat at least three tickets are given out during a particularhour

=P(X\geq 3) =0.87534

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=5(\frac{3}{4} )\\= 3.75

Note: Poisson distribution is

P(X=k) = \frac{e^{-k} 5^k}{l!}

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2 years ago
Determine whether or not the vector field is conservative. if it is conservative, find a function f such that f = ∇f. (if the ve
sweet [91]
A conservative vector field \mathbf f has curl \nabla\times\mathbf f=\mathbf0. In this case,

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2 years ago
The following table shows the annual income, in dollars, and amount spent on vacation, in dollars, for a sample of 8 families.
marishachu [46]

Answer:

a. Scatterplot is attached.

b. Positive Correlation

c. Correlation coefficient=0.9219

Step-by-step explanation:

a.

The following procedure will be used to obtain the scatter plot

  •    Open an Google Sheets file online or excel sheet on your computer.
  •    In column B and C, enter  the Income and Vacation data  as provided above.
  •    Select the data > click on insert CHART.
  •    Chose Scatter Chart option
  •    Click OK.

A scatter plot visualizing your data should be displayed as attached.

b.

  • On your computer, open a spreadsheet in Google Sheets.
  • Double-click on your scatter plot.
  • At the right, click on Customize  tab and then Series.
  • Scroll down and check the Trend line box

-From the trend line, your notice that your variables have a positive correlation.

-As the income increases, so does vacation expenditure.

c. The correlation coefficient can be calculated as follows.

  • Click on any empty cell in the sheet and enter the formula
  • "=CORREL((y-axis range),(x-axis range))"
  • ENTER

-From our Google Sheets calculation our variables have a positive correlation and the correlation coefficient is 0.9219

-The correlation coefficient,r can also be calculated manually:

-let x be income, and y be vacation and divide all the values by 100 to make the smaller and easier to manipulate:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2-(\sum x)^2][n\sum y^2-(\sum y)^2}}\\\\\\\sum xy=153914\\\sum x=4485\\\sum y=246\\\sum x^2=2878447\\(\sum x)^2=4485^2=20115225\\(\sum y)^2=246^2=60516\\\sum y^2=8392\\n=8\\\\\#substitute \ and \ solve \ for \ r\\\\=\frac{8\times153914-4485\times 246}{\sqrt{[8\times 2878447-4485^2][8\times 8392-246^2]}}\\\\=0.92186\\\\\approx 0.9219

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2 years ago
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The x-coordinate remains the same as the x-coordinate of point B.
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Answer: B. (3, -8)

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2 years ago
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8 = 4N - 2.8
Add 2.8
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Divide 4
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