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igor_vitrenko [27]
3 years ago
15

A car rental company offers two options. option a is $25 per day plus $0.11 per mile. option b is $12 per day plus $0.36 per mil

e. if a car is rented for one day, for how many miles will option b be cheaper
Mathematics
1 answer:
AVprozaik [17]3 years ago
6 0
25+0.11n>12+0.36n
13>0.25n
n<52
Option b will cheaper then quantity of miles less than 52 miles.
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Solve 3/2 + 1/2x =2x
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x=1

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A random sample of ten professional athletes produced the following data where x is the number of endorsements the player has an
lukranit [14]

ŷ= 1.795x +2.195 is the equation for the line of best fit for the data

<h3>How to use regression to find the equation for the line of best fit?</h3>

Consider the table in the image attached:

∑x = 29,  ∑y = 74, ∑x²= 125, ∑xy = 288,  n = 10 (number data points)

The linear regression equation is of the form:

ŷ = ax + b

where a and b are the slope and y-intercept respectively

a = ( n∑xy -(∑x)(∑y) ) / ( n∑x² - (∑x)² )

a  = (10×288 - 29×74) / ( 10×125-29² )

  = 2880-2146 / 1250-841

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  = 1.795

x' =  ∑x/n

x' = 29/10 = 2.9

y' = ∑y/n

y' = 74/10 = 7.4

b = y' - ax'

b = 7.4 - 1.795×2.9

  = 7.4 - 5.2055

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ŷ = ax + b

ŷ= 1.795x +2.195

Therefore,  the equation for the line of best fit for the data is ŷ= 1.795x +2.195

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3 0
1 year ago
5x + 6(x - 2) - 8 (x - 3)
Alex Ar [27]

Answer:

The value of x=-4. The figure is also attached below.

Step-by-step explanation:

Considering the expression

5x + 6(x - 2) - 8 (x - 3)

If we have to find the vale of x, then

5x + 6(x - 2) - 8 (x - 3)=0

5x+6x-12-8\left(x-3\right)=0

5x+6x-12-8x+24=0

3x+12=0

\mathrm{Subtract\:}12\mathrm{\:from\:both\:sides}

3x+12-12=0-12

3x=-12

\mathrm{Divide\:both\:sides\:by\:}3

\frac{3x}{3}=\frac{-12}{3}

x=-4

Therefore, the value of x=-4. The figure is also attached below.

Keywords: equation

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5 0
3 years ago
Each year the seventh graders who study life science participate in a special field trip to the city zoo in 2010 the school paid
juin [17]

Answer:

Yes, the price the school pays each year in entrance fees is proportional to the number of students entering the zoo

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In 2011, the school paid $1,050 for 70 students to enter the zoo.

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As 1260:84=1260:84=1,395:93=15:1,

the price the school pays each year in entrance fees is proportional to the number of students entering the zoo.

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