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3 years ago

Which two values of X best represent where the two functions are equal?

Mathematics

1 answer:

alexgriva [62]3 years ago

8 0

Answer:

As you can see, the curve and the line intersect at (3, 4) and (8, 9), so the two x values where they intercept are 3 and 8.

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MP.1 Make Sense and Persevere Gary has $4. Mary has twice as many dollars

Andreas93 [3]

Answer:

$16

Step-by-step explanation:

Gary has $4. (given)

Mary has twice as many dollars as Gary, so Mary has 2×$4 = $8.

Larry has 4 fewer dollars than Mary, so Larry has $8 -4 = $4.

Gary, Mary, and Larry together have $4 +8 +4 = $16.

5 0

3 years ago

Please can someone help me

Gnom [1K]

Answer:

Trapazoid ABD was reflected across the y-axis and translated 7 units up

Step-by-step explanation:

Trapazoid ABD was reflected across the y-axis and translated 7 units up

I think . . .check it tho because

you flip it across the y axis and then move it up 7

5 0

3 years ago

Paul and Tom both commute to work. Paul's commute on the train takes 15 minutes more than one third as many minutes as Tom's com

Ronch [10]

Answer:

45 = (one third)x + 15

Step-by-step explanation:

If x represents the number of minutes Tom commutes, then (1/3)x is "one-third as many minutes as Tom's commute." 15 minutes more than that is ...

(1/3)x + 15

We are told this is the length of Paul's commute, and that it is 45 minutes. So, the appropriate equation is ...

45 = (1/3)x +15

8 0

3 years ago

Modern medical practice tells us not to encourage babies to become too fat. Is there a positive correlation between the weight x

Anna11 [10]

Answer:

a) Figure attached

b) $y=1.31 x +98.57$

c) The correlation coefficient would be r =0.47719

d) $y=1.31 x +98.57=1.31*21 + 98.57 =126.08$

Step-by-step explanation:

(a) Draw a scatter diagram for the data.

See the figure attached

(b) Find x, y, b, and the equation of the least-squares line. (Round your answers to three decimal places.) x =__ y =__ b =__ y =__ + __x

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

Where:

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

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

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=6576-\frac{300^2}{14}=147.429$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=38186-\frac{300*1773}{14}=193.143$

And the slope would be:

$m=\frac{193.143}{147.429}=1.31$

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

$\bar x= \frac{\sum x_i}{n}=\frac{300}{14}=21.429$

$\bar y= \frac{\sum y_i}{n}=\frac{1773}{14}=126.643$

And we can find the intercept using this:

$b=\bar y -m \bar x=126.643-(1.31*21.429)=98.571$

So the line would be given by:

$y=1.31 x +98.57$

(c) Find the sample correlation coefficient r and the coefficient of determination r?2. (Round your answers to three decimal places.)

n=14 $\sum x = 300, \sum y = 1773, \sum xy=38186, \sum x^2 =6576, \sum y^2 =225649$

And in order to calculate the correlation coefficient we can use this formula:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

$r=\frac{14(38186)-(300)(1773)}{\sqrt{[14(6576) -(300)^2][14(225649) -(1773)^2]}}=0.9534$

So then the correlation coefficient would be r =0.47719

What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.)

The % of variation is given by the determination coefficient given by $r^2$ and on this case $0.47719^2 =0.2277$ , so then the % of variation explaines is 22.8%.

(d) If a female baby weighs 21 pounds at 1 year, what do you predict she will weigh at 30 years of age? (Round your answer to two decimal places.) ___ lb

So we can replace in the linear model like this:

$y=1.31 x +98.57=1.31*21 + 98.57 =126.08$

7 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Cqquad%5Chuge%5Cunderline%7B%5Cboxed%7B%5Csf%20%5C%3A%20Question%7D%7D" id="TexFormula1" tit

vovikov84 [41]

So here's gives that

total weight of 25 bags = 50 x 25

= 1250

total cost of 25 bags weighing 50 kg is = 15000

cost of 1 kg = 15000 ÷ 1250 = 12

now total weight of 15 bags weighing 30 kg = 450

cost per kg = 12

cost of 15 bags weighing 30 each = 450 x 12

Answer = 5400 rupees.

5 0

3 years ago