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uranmaximum [27]
3 years ago
6

Tom and Bob start to walk towards each other at 18 feet per minute and 12 feet per minute respectively. In how many minutes will

they meet if there was 570 feet between them in the beginning?
Mathematics
1 answer:
kogti [31]3 years ago
4 0

Answer:

19 minutes

Step-by-step explanation:

Tom and Bob start to walk towards each other at 18 feet per minute and 12 feet per minute respectively. Per one minute they together walk

18 + 12 = 30 feet.

Since the distance betwewen them is 570 feet, then it takes them

\dfrac{570}{30}=19\ \text{minutes}.

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WILL GIVE BRAINLIEST IF CORRECT!!
vfiekz [6]

Answer:

\displaystyle y=-0.927x+13.63

Step-by-step explanation:

<u>Simple Linear Regression </u>

It a function that represents the relationship between two or more variables in a given data set. It uses the method of the least-squares regression line which minimizes the error between the estimate function and the real data.

Let's compute the best-fit line for the data

x=\{1,5,6,12,15\}

y=\{14,11,4,2,1\}

First, we find the sums

\displaystyle \sum x=1+5+6+12+15=39

\displaystyle \sum y=14+11+4+2+1=32

Then, we compute the averages values

\displaystyle \bar{x}=\frac{39}{5}=7.8

\displaystyle \bar{y}=\frac{32}{5}=6.4

We will also compute the sums of the cross-products and the sum of the squares

\displaystyle \sum xy=(1)(14)+(5)(11)+(6)(4)+(12)(2)+(15)(1)=137

\displaystyle \sum x^2=1^2+5^2+6^2+12^2+15^2=1+25+36+144+225

\displaystyle \sum x^2=431

We will compute Sxy and Sxx

\displaystyle S_{xy}=\sum xy-\frac{\sum x\ \sum y}{n}

\displaystyle S_{xy}=137-\frac{(39)(32)}{5}

\displaystyle S_{xy}=-117.6

\displaystyle S_{xx}=\sum x^2-\frac{(\sum x)^2}{n}

\displaystyle S_{xx}=431-\frac{39}{5}^2=126.8

The slope of the linear regression function is given by

\displaystyle m=\frac{S_{xy}}{S_{xx}}=\frac{-117.6}{126.8}=-0.927

The y-intercept ot the linear function is

\displaystyle b=\bar{y}-b\bar{x}=6.4-(-0.927)(7.8)

\displaystyle b=13.63

Thus the best-fit line is

\displaystyle y=-0.927x+13.63

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