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bagirrra123 [75]
2 years ago
12

How do I solve this? I will mark answer brainiest pls respond asap!

Mathematics
1 answer:
Illusion [34]2 years ago
6 0

The line of the best fit is y = 4.71x—30.31 and at x = 9.5 inches the value of y is 14.5 oz.

<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.

First, we need to find the line of best fit:

Let's suppose the line of the best fit is:

y = mx + c

We can find the value of m:

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

\rm c = \dfrac{\sum y -m \sum x}{n}

After calculating, we will get:

m = 4.71

d = -30.31

y = 4.71x—30.31

Plug x = 9.5

y = 14.43 ≈ 14.5 oz

Thus, the line of the best fit is y = 4.71x—30.31 and at x = 9.5 inches the value of y is 14.5 oz.

Learn more about the line of best fit here:

brainly.com/question/14279419

#SPJ1

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The number of caps a new online store sells increases by a factor of 4 each month. The function f(x)=4^x represents the number o
sladkih [1.3K]

For this case we have the following variables:

x: number of months

f (x): number of caps sold

The function that models the problem is given by:

f (x) = 4 ^ x

By the time the store sells 64 caps we have:

4 ^ x = 64

From here, we clear the number of months:

log4 (4 ^ x) = log4 (64)\\x = log4 (64)\\x = 3

Answer:

the store sells 64 caps in 3 monts

A. month 3

8 0
2 years ago
3. Find x.<br> 8x - 37<br> 5x + 17<br><br><br> I really need help with this
sveticcg [70]

Answer: here is your steps Simplifying

8x + -37 = 5x + 17

Reorder the terms:

-37 + 8x = 5x + 17

Reorder the terms:

-37 + 8x = 17 + 5x

Solving

-37 + 8x = 17 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.

-37 + 8x + -5x = 17 + 5x + -5x

Combine like terms: 8x + -5x = 3x

-37 + 3x = 17 + 5x + -5x

Combine like terms: 5x + -5x = 0

-37 + 3x = 17 + 0

-37 + 3x = 17

Add '37' to each side of the equation.

-37 + 37 + 3x = 17 + 37

Combine like terms: -37 + 37 = 0

0 + 3x = 17 + 37

3x = 17 + 37

Combine like terms: 17 + 37 = 54

3x = 54

Divide each side by '3'.

x = 18

Simplifying

x = 18

Step-by-step explanation:

5 0
2 years ago
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What is the length of one leg of the triangle?<br>11 units<br>11/units<br>22 units<br>22/2 units​
son4ous [18]

Answer:

The length of one leg of the triangle is 22 units

Step-by-step explanation:

The complete question in the attached figure

Let

x ----> the length of one leg of the triangle

we know that

In the right isosceles triangle of the figure

The cosine of angle of 45 degrees is equal to the adjacent side to angle of 45 degrees divided by the hypotenuse

cos(45\°)=\frac{x}{22\sqrt{2}} ---> equation A

cos(45\°)=\frac{\sqrt{2}}{2} ----> equation B

equate equation A and equation B and solve for x

\frac{x}{22\sqrt{2}}=\frac{\sqrt{2}}{2}

x=\frac{\sqrt{2}}{2}(22\sqrt{2})=22\ units

therefore

The length of one leg of the triangle is 22 units

4 0
3 years ago
Two numbers have these properties:
almond37 [142]

Answer:

12\ and\ 30

Step-by-step explanation:

Given both numbers are greater than 6

Their HCF is 6

Their LCM is 60

The product of the HCF and LCM of two numbers is the same as the product of the numbers themselves.

Let us say those number are a and b

a\times b=6\times 60\\a\times b=360

So, the product of those number is 360

Let us factorize 360

360=1\times 2\times 2\times 3\times 5\times 6

It is given that number should be greater than 6

The possible pairs of number are (10,36)\ and\ (12,30)

But only (12,30) has LCM as 60.

So those numbers are 12\ and\ 30

5 0
3 years ago
What is the slope of the line that passes through the points (-5,8) and (-11,8)?
Artemon [7]

Answer:

\displaystyle m=0

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

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

Step-by-step explanation:

<u>Step 1: Define</u>

Point (-5, 8)

Point (-11, 8)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute in points [SF]:                    \displaystyle m=\frac{8-8}{-11+ 5}
  2. [Fraction] Subtract/Add:                     \displaystyle m=\frac{0}{-6}
  3. [Fraction] Divide/Simplify:                  \displaystyle m=0
6 0
2 years ago
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