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Debora [2.8K]
3 years ago
11

PLEASE HELP ASAP

Mathematics
1 answer:
lana [24]3 years ago
5 0
First find midpoint:  \left( \frac{-1+5}{2}, \frac{6+5}{2}\right) = (2, 5.5) 

Find slope of line that passes through R and S:    slope = \frac{6-5}{-1-5} = \frac{-1}{6}   

Negative reciprocal of slope to get slope of perpendicular:    new slope = 6

Line will be:  y-5.5=6(x-2) 

  y = 6x - 6.5
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Use the given data to find the best predicted value of the response variable. Ten pairs of data yield requals0.003 and the regre
Arada [10]

Answer:

\hat y=3(2) +2=8

Step-by-step explanation:

Data given

r=0.003 represent the correlation coefficient

bar y =5 represent the sample mean for the y observations

Solution to the problem

We assume that they use least squares in order to find the best regression model. The slope is given by the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

And the slope on this case is:

m=3

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=5

\bar y= \frac{\sum y_i}{n}

And we can find the intercept using this:

b=\bar y -m \bar x=5-(3*\bar x)=2

So the line would be given by:

\hat y=3x +2

And the best predicted value for x=2 would be:

\hat y=3(2) +2=8

3 0
3 years ago
A shopper paid $2.52 for 4.5 pounds of potatoes, $7.75 for 2.5 pounds of broccoli, and $2.45 for 2.5 pounds of pears. what is th
kobusy [5.1K]

Answer:

a) UNIT PRICE of  potatoes is $0.56

b) UNIT PRICE of  broccoli  is $3.1

c) UNIT PRICE of  broccoli  is $0.98

Step-by-step explanation:

UNIT PRICE is defined as the price of 1 unit.

\textrm{Unit Price} = \frac{\textrm{Total cost on n products}}{\textrm{n}}

Now, here in the given question:

1.  Cost of  4.5 pounds of potatoes is  $2.52

So, the unit price of potatoes  = \frac{\textrm{2.52}}{\textrm{4.5}} = 0.56

⇒ 1 pound of potatoes cost $0.56

Hence,UNIT PRICE of  potatoes is $0.56

2  Cost of  2.5 pounds of broccoli is $7.75.

So, the cost of 1 pound of broccoli  = \frac{\textrm{7.75}}{\textrm{2.5}} = 3.1

⇒  1 pound of  broccoli cost $3.1

Hence,UNIT PRICE of  broccoli  is $3.1

3.  Cost of 2.5 pounds of pears is $2.45.

So, the cost of 1 pound of pears  = \frac{\textrm{2.45}}{\textrm{2.5}} = 0.98

⇒ 1 pound of pears cost $0.98

Hence,UNIT PRICE of  broccoli  is $0.98

5 0
3 years ago
Read 2 more answers
What is a sum of 1/2 and 3/10 in simplest from
Dahasolnce [82]

Answer:

4/5

Step-by-step explanation:

1/2=5/10

5/10+3/10=8/10

simplified or  8/10 divided by 2 =4/5 and u cant simplify it anymore

4 0
3 years ago
Read 2 more answers
A taxi ride costs $3.50 plus $2.50 per mile driven. If Sasha has $37 in cash , what is the greatest whole number of miles she ca
Margaret [11]
Create an equation for the total costs of driving x miles: 3.50 + 2.50x


since Sasha has $37, the equation would become: 3.50 + 2.50x = $37

subtract 3.50 from both sides: 2.50x = 33.50

divide 2.50 on both sides: x = 13.4


since the problem is asking for the greatest whole number of miles, you have to round down and the answer would be: 13 miles.
5 0
3 years ago
Read 2 more answers
Solve using the Quadratic Formula. 122+6−5=0
tensa zangetsu [6.8K]

Step-by-step explanation:

You can't use quadratic formula in this

5 0
2 years ago
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