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3 years ago

Manny created a scatter plot and drew a line of best fit, as shown.

Mathematics

1 answer:

AVprozaik [17]3 years ago

4 0

Answer:

y = 2x + 7

Step-by-step explanation:

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Slope-Intercept Form: y = mx + b

We are only focusing on the line of best fit.

Step 1: Find 2 coordinates

(0, 7) y-intercept

(2, 11) random

Step 2: Find slope m

m = (11 - 7)/(2 - 0)

m = 4/2

m = 2

y = 2x + b

Step 3: Rewrite linear equation

y = 2x + 7

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Answer:

Step-by-step explanation:

The vertex form of the equation of a circle is $(x-h)^2 + (y-k)^2 = r^2$ where (h,k) is the center of the circle and r is the radius. This means that for the circle with center (-3,1) and radius 5 substitute into the vertex form these values. Substitute h = -3, k= 1, and r = 5. The equation becomes $(x--3)^2 + (y-1)^2 = 5^2$ . This simplifies to $(x+3)^2 + (y-1)^2 = 25$ . The solution is C.

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3 years ago

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3 years ago

Divide 56 in a ratio of 5:3

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3 years ago

The water diet requires you to drink two cups of water every half hour from the time you get up until you go to bed, but otherwi

Elan Coil [88]

Answer:

$7-3.182 \frac{13.638}{\sqrt{4}}= -14.698$

$7+3.182 \frac{13.638}{\sqrt{4}}= 28.698$

Step-by-step explanation:

For this case we have the following info given:

Weight before diet 180 125 240 150

Weight after diet 170 130 215 152

We define the random variable $D = before-after$ and we can calculate the inidividual values:

D: 10, -5, 25, -2

And we can calculate the mean with this formula:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

And the deviation with:

$s= \sqrt{\frac{\sum_{i=1}^n (X_i- \bar X)^2}{n-1}}$

And after replace we got:

$\bar D= 7, s_d = 13.638$

And the confidence interval for this case would be given by:

$\bar D \pm t_{\alpha/2} \frac{s_d}{\sqrt{n}}$

The degrees of freedom are given by:

$df = n-1= 4-1=3$

For the 95% of confidence the value for the significance is $\alpha=0.05$ and the critical value would be $t_{\alpha/2}= 3.182$ . And replacing we got: