All categories

3 years ago

The graph below shows carters weight each week since he started his diet write an equation for the line of best fit

Mathematics

1 answer:

balandron [24]3 years ago

7 0

Answer:

ŷ = -1.618X + 215.636

191

Step-by-step explanation:

From the graph:

The data below could be obtained to produce the best fit line :

Week, x :

Weight :

216

214

213

210

207

206

202

203

202

200

Using a linear regression calculator. The best fit line obtained is :

ŷ = -1.618X + 215.636 ; which shows decrease in weight has the number of weeks grow.

Carters weight 15 Weeks into his diet :

X = 15

ŷ = -1.618(15) + 215.636

= 191.366

= 191 (nearest whole number)

You might be interested in

mrs hamilton worked for a real estate agency. she sold a house for $175,000. the agency's fee for the sale was 4% of the sale pr

katrin2010 [14]

You wrote $4,7725 and i dont understand the question.

3 0

3 years ago

the line y=2x-4 is dilated bt a scale factor of 3/2 and centered at the origin. Write an equation that represent that image of t

Veseljchak [2.6K]

Answer: $y = 2x -6$

Step-by-step explanation:

Since, If (x,y) represents the coordinates of a line, then after dilation about the origin by the scale factor k, the coordinates of the resultant line will get by the rule,

$(x,y)\rightarrow (kx,ky)$

Here, The equation of the given line is,

y = 2x - 4

x-intercept and y-intercept of the line are (2,0) and (0,-4) respectively,

Hence, the line y = 2x - 4 will be passes through the points (2,0) and (0,-4),

By the above property,

The dilated line about the origin will be passes through the points (3,0) and (0,-6), ( Because (3/2× 2, 3/2×0) = (3,0) and (3/2×0, 3/2×-4) = (0,-6) )

Hence, the equation of transformed line after dilation,

$y-0 = \frac{-6-0}{0-3}(x-3)$

$y-0=2(x-3)$

$y-0=2x-6$

$y=2x-6$

7 0

3 years ago

Read 2 more answers

This is an arrangement of data, usually in rows or column's.it is called___?

SashulF [63]

Answer:

Table

Step-by-step explanation:

A table is an arrangement of data in rows and columns, or possibly in a more complex structure.

7 0

3 years ago

Perform the indicated operation.<br> 1 1/6 + 7 3/6 =<br><br> I HAVE 5 MINUTES!!!

gizmo_the_mogwai [7]

Answer:

1 1/6 - 7 3/6 = -19/

= -6 1/

≅ -6.3333333

Step-by-step explanation:

Conversion a mixed number 1 1/

to a improper fraction: 1 1/6 = 1 1/

= 1 · 6 + 1/

= 6 + 1/

= 7/

To find new numerator:

a) Multiply the whole number 1 by the denominator 6. Whole number 1 equally 1 * 6/

= 6/

b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7

c) Write a previous answer (new numerator 7) over the denominator 6.

One and one sixth is seven sixths

Conversion a mixed number 7 3/

to a improper fraction: 7 3/6 = 7 3/

= 7 · 6 + 3/

= 42 + 3/

= 45/

To find new numerator:

a) Multiply the whole number 7 by the denominator 6. Whole number 7 equally 7 * 6/

= 42/

b) Add the answer from previous step 42 to the numerator 3. New numerator is 42 + 3 = 45

c) Write a previous answer (new numerator 45) over the denominator 6.

Seven and three sixths is forty-five sixths

Subtract: 7/

- 45/

= 7 - 45/

= -38/

= 2 · -19/

2 · 3

= -19/

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(6, 6) = 6. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 6 × 6 = 36. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - seven sixths minus forty-five sixths = minus nineteen thirds.

4 0

3 years ago

What are the two solutions to 2x² + 18 = 26

oksano4ka [1.4K]

Answer:

One of the solution is 2

Step-by-step explanation:

7 0

3 years ago