Data were collected on the distance a home is located from a major city, x (in miles), and the selling price of the home, y (in thousands of dollars). The scatterplot of the data yielded a linear equation, y =31.0+3.12x. Identify the slope and y-intercept of the regression equation.

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation: hey you know whats crazy we are doing the same problem i just did it so cross multiply y and x then divide b 100 and you will get your answer you can also use a couculator we us e them is school

Answer 2
Answer:

Final answer:

The slope and y-intercept of the regression equation 'y =31.0+3.12x' are 3.12 and 31.0, respectively. It suggests for every mile increase in distance from a major city, the price of a home increases by $3,120 and a home in the city costs $31,000 as base price.

Explanation:

In your regression equation, y =31.0+3.12x, 'y' represents the selling price of a home and 'x' is the distance it is located from a major city. The slope of the line, represented by 3.12, translates to every mile increase in distance from a major city, there's an increase of $3,120 in the home price. The y-intercept is 31.0, which means when the distance from a major city is zero miles (i.e., the home is in the city), the base price of the home is $31,000.

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Solve the following quadratic equation (x+3)2+25=0

Answers

2\cdot(x+3)+25=0 ⇒ 2x+2\cdot3=0-25

2x+6=-25 ⇒ 2x=-25-6 ⇒ 2x=-31

x= (-31)/(2) ⇒ \boxed {x=-15,5}

1.0 liter of a gas at standard pressure and pressure is compressed to 473ml. What is the new pressure of the gas?

Answers

If we assume that T does not change, then PV = k. 

If this is true, then P1V1 = P2V2 (Boyle's Law) 

P1 = 1 atm (standard pressure) 
V1 = 1 L 
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The model shows the expression 20 + 16.Which expression is equivalent to this sum?
O4(5) + 4
4+5+4
O4(5+4)
5(4+4)

Answers

The third one. O4 (5+4)

Explanation:
4 (5+4)
4 times 5 is 20 which added to 4 times 4 which is 16 is the same thing asked before. 20+16. So the answer is the third one

Answer:

4 (5 + 4)

Step-by-step explanation:

20 + 16

= 4 (5 + 4)

= 4(5) + 4(4)

= 20 + 16

therefore, the answer is 4 (5 + 4)

The price of an item has dropped to $102 today. Yesterday it was $120. Find the percentage decrease.

Answers

Using cross multiplication, 102/120=x/100 ---> 120x=10200 divide the entire problem by 120 ---> 85. 102 is 85% of 120, so the item has dropped in price by 15%

Final answer:

The decrease in price is $18. The percentage decrease is calculated by dividing the decrease by the original price and multiplying by 100, which results in a 15% decrease.

Explanation:

The problem involves finding the percentage decrease of a price from $120 to $102. The first step is to find out how much the price decreased. This involves subtracting the new price ($102) from the original price ($120), which gives us an amount of $18. Now, the percentage decrease is computed by dividing this decrease ($18) by the original price ($120) and multiplying the result by 100. Hence, Percentage decrease = ($18 / $120) * 100% = 15%.

Therefore, the price has decreased by 15% from yesterday to today.

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What is the value of x?

Answers

Answer:

x=30

Step-by-step explanation:

38 plus what equals 180

Answers

38 plus 142 is equal to 180 again

Hi

Just replace the unknown number by x

so we have

38+x=180

Subtract 38 from both sides

x+38-38=180-38

x=142


I hope that's help:0