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natita [175]
3 years ago
12

Amalia and Alec are studying the growth of a plant over time. They measure the height of the plant at the end of each week for s

everal weeks and display the data in a scatter plot. They then find the equation for the best-fit line to be y=2.5+ 1.25x
X=the number of weeks that have passed
Y = the height of the plant
How tall will with plant be after 7 weeks?
Mathematics
1 answer:
EleoNora [17]3 years ago
3 0

After 7 weeks the plant will 11.25 units tall if the equation for the best-fit line to be y = 2.5 + 1.25x.

<h3>What is the line of best fit?</h3>

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\rm c = \dfrac{\sum y -m \sum x}{n}

We have a line of best fit:

y = 2.5 + 1.25x

Plug x = 7 weeks

y = 2.5 + 1.25(7)

y = 11.25 units

Thus, after 7 weeks the plant will 11.25 units tall if the equation for the best-fit line to be y = 2.5 + 1.25x.

Learn more about the line of best fit here:

brainly.com/question/14279419

#SPJ1

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A cake company makes chocolate and vanilla cakes. The ratio of chocolate cakes to vanilla cakes is 3:4. What is the ratio of the
aleksley [76]

Answer:

4:7

Step-by-step explanation:

4:7

they make 7 cakes in total (3:4 = 7).

there are 4 vanilla cakes.

therefore, the ratio of vanilla cakes to the total number of cakes is 4:7.

6 0
3 years ago
Brooke purchased a new pair of tennis shoes that cost x dollars. Her brother, Benji, purchased a new pair of shoes that cost 20%
hoa [83]

Answer(s):

  • x + 0.2x
  • 1.2x

Solution:

<u>We know that:</u>

  • Brookie = x dollars
  • Benji = x + (20% × x)

<u>Solution:</u>

To see which expression has been used, we will need to simplify the expression.

  • Benji = x + (20% × x)
  • => Benji = x + (20/100 × x)
  • => Benji = x + (2/10 × x)
  • => Benji = x + (0.2 × x)
  • => Benji = x + (0.2x)
  • => Benji = x + 0.2x
  • => Benji = 1.2x

Looking at the options, Option A and Option B matches with our result.

Option A and B are correct.

8 0
2 years ago
Assume that China has about 1 billion people, an increase of 15 million would result in a relative change of ___%
seraphim [82]

Answer:

1.5%.

Step-by-step explanation:

The fractional increase is 15,000,000 / 1,000,000,000

= 15/1000

= 15 * 100 / 1000

= 1.5%

5 0
3 years ago
How many ways can we arrange 3 tulips, 2 yellow roses, and 8 lilies to form a border around a garden?
Elina [12.6K]

Answer:

The mentioned flowers can be arranged in 48 different ways.

Step-by-step explanation:

To determine in how many ways the mentioned flowers can be arranged (3 tulips, 2 yellow roses, and 8 lilies), all the variables must be multiplied together, and the result will be the number of possibilities for organizing them. Thus, the resolution of this question is the following:

3 x 2 x 8 = X

6 x 8 = X

48 = X

Therefore, the mentioned flowers can be arranged in 48 different ways.

4 0
3 years ago
Write an equation of a line that passes through the two given points. Your answer should be written in slope-intercept form.
Vladimir79 [104]

Answer:

y = x

Step-by-step explanation:

Find the slope using rise over run (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(-8 - 0) / (-8 - 0)

-8 / -8

= 1

So, the slope is 1.

Plug in the slope and a point into y = mx + b and solve for b:

y = mx + b

-8 = 1(-8) + b

-8 = -8 + b

0 = b

Plug in the slope and y intercept into y = mx + b

y = mx + b

y = 1x + 0

y = x

So, the equation of the line is y = x

5 0
3 years ago
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