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Dimas [21]
3 years ago
13

Identify the property that justifies "x=y; if y=9, then x=9"

Mathematics
1 answer:
iragen [17]3 years ago
3 0
I think the answer is substitution property of equality because you are substituting 9 for y as y=9.
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With Obesity on the rise, a Doctor wants to see if there is a linear relationship between the Age and Weight and estimating a pe
Romashka [77]

Answer:

112.569 ( D )

Step-by-step explanation:

Applying the estimated Regression Equation

y = b1X1 + b2X2 + a

b1 = ((SPX1Y)*(SSX2)-(SPX1X2)*(SPX2Y)) / ((SSX1)*(SSX2)-(SPX1X2)*(SPX1X2)) = 596494.5/635355.88 = 0.93884

b2 = ((SPX2Y)*(SSX1)-(SPX1X2)*(SPX1Y)) / ((SSX1)*(SSX2)-(SPX1X2)*(SPX1X2)) = 196481.5/635355.88 = 0.30925

a = MY - b1MX1 - b2MX2 = 149.25 - (0.94*61.31) - (0.31*193.88) = 31.73252

y = 0.939X1 + 0.309X2 + 31.733

For x1 ( age ) =39, and  x2(weight) =143

y = (0.93884*39) + (0.30925*143) + 31.73252= 112.569

where

Sum of X1 = 981

Sum of X2 = 3102

Sum of Y = 2388

Mean X1 = 61.3125

Mean X2 = 193.875

Mean Y = 149.25

attached is the Tabular calculation of the required values needed for estimated regression equation

8 0
2 years ago
Jason watched a caterpillar move 16 feet in 8 minutes. Jason says that the caterpillar's unit rate is 0.5 foot per minute. Is Ja
MrRa [10]

Answer:

Jason is incorrect.

The caterpillar's rate is 2 ft/min

Step-by-step explanation:

The rate of motion is defined as the quotient between the distance covered (in our case 16 feet) divided by the time it took to cover that distance (in our case 8 minutes)

Then, the rate is:

rate=\frac{distance}{time} = \frac{16\,\,ft}{8\,\,min} = 2\,\frac{ft}{min}

3 0
2 years ago
Solve the system of linear equations.
Ronch [10]

Answer:

there is no solution, meaning the lines would be parallel

Step-by-step explanation:

i hope this helps :)

4 0
3 years ago
Find the volume of a cube where the length of each side is 6 centimeters.
notka56 [123]
Well if each side is 6cm each then u Have to multiply 6x how many sides to the cube there are. So if there are 6 sides to a cube and you have 6cm each side then you have to multiply 6cm X 6 witch = 36 then multiply 36X6=216. So the final answer is 216. 

Hope this helps!  
4 0
2 years ago
What is two thirds of eight
AlladinOne [14]
5 + 0.33333... 

<span>If you don't immediately recognize 0.33333.... as 1/3 (a very common fraction you should memorize), you can do the following. </span>

<span>x = 0.33333... </span>

<span>Multiply that by 10 to shift everything 1 place to the left: </span>
<span>10x = 3.33333... </span>

<span>Now subtract: </span>
<span>10x - x = 3.33333... - 0.33333... </span>
<span>9x = 3 </span>
<span>x = 3/9 </span>
<span>x = 1/3 </span>

<span>Answer: </span>
<span>5 1/3 </span>

<span>P.S. Here's a shortcut way to turn a repeating decimal into a fraction. </span>

<span>1) Take the repeated part and put it over an equivalent number of nines. </span>

<span>Example: </span>
<span>0.57575757... = 57/99 </span>

<span>At that point, see if you can reduce the fraction: </span>
<span>= 19/33 </span>

<span>Another example: </span>
<span>0.123123123... = 123/999 </span>
<span>= 41/333 </span>

<span>So in your example: </span>
<span>5.33333... = 5 + 0.33333... </span>
<span>= 5 + 3/9 </span>
<span>= 5 1/3</span>
8 0
3 years ago
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