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2 years ago

Simplify -10(10w-6-w)-w

Mathematics

1 answer:

kompoz [17]2 years ago

6 0

Answer:

-91w + 60

Step-by-step explanation:

to simplify this -10(10w-6-w)-w

we have,

-10(10w-6-w)-w

-100w + 60 + 10w - w

-91w + 60

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Arm Span(x) Height(y)

natita [175]

Answer:

Here's what I get.

Step-by-step explanation:

1. Representation of data

I used Excel to create a scatterplot of the data, draw the line of best fit, and print the regression equation.

2. Line of best fit

(a) Variables

I chose arm span as the dependent variable (y-axis) and height as the independent variable (x-axis).

It seems to me that arm span depends on your height rather than the other way around.

(b) Regression equation

The calculation is easy but tedious, so I asked Excel to do it.

For the equation y = ax + b, the formulas are

$a = \dfrac{\sum y \sum x^{2} - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}}\\\\b = \dfrac{n\sumx y - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}}$

This gave the regression equation:

y = 1.0595x - 4.1524

(c) Interpretation

The line shows how arm span depends on height.

The slope of the line says that arm span increases about 6 % faster than height.

The y-intercept is -4. If your height is zero, your arm length is -4 in (both are impossible).

(d) Residuals

$\begin{array}{cccr}&\textbf{Arm Span} & \textbf{Arm Span}&\\\textbf{Height/in} &\textbf{Actual} & \textbf{Predicted}&\textbf{Residual}\\25 & 19 & 22.3 & -3.3\\40 & 41 & 38.2 & 2.8\\55 & 51 & 54.1 & -3.1\\65 & 67 & 62.6 & 4.4\\ \end{array}$

The residuals appear to be evenly distributed above and below the predicted values.

A graph of all the residuals confirms this observation.

The equation usually predicts arm span to within 4 in.

(e) Predictions

(i) Height of person with 66 in arm span

$\begin{array}{rcl}y& = & 1.0595x - 4.1524\\66 & = & 1.0595x - 4.1524\\70.1524 & = & 1.0595x\\x & = & \dfrac{70.1524}{1.0595}\\\\& = & \textbf{66 in}\\\end{array}\\\text{A person with an arm span of 66 in should have a height of about $\large \boxed{\textbf{66 in}}$}$

(ii) Arm span of 74 in tall person

$\begin{array}{rcl}y& = & 1.0595x - 4.1524\\& = & 1.0595\times74 - 4.1524\\& = & 78.4030 - 4.1524\\& = & \textbf{74 in}\\\end{array}\\\text{ A person who is 74 in tall should have an arm span of $\large \boxed{\textbf{74 in}}$}$

6 0

2 years ago

Find the missing length of the following trapezoid

Schach [20]

Answer:

1) The length of $DC$ is 20.

2) The length of $PS$ is 17.

Step-by-step explanation:

1) If $DR = RE$ and $CS = SB$ , then we can use the following proportionality ratio:

$\frac{DE}{DR} = \frac{32 - x}{26 - x}$ (1)

Where $x$ is the length of segment $\overline{CD}$ .

If $DE = 2\cdot DR$ , then the value of $x$ is:

$2 = \frac{32-x}{26-x}$

$52 - 2\cdot x = 32 - x$

$20 = x$

The length of $DC$ is 20.

2) If $QV = VP$ and $RW = WS$ , then we can use the following proportionality ratio:

$\frac{QP}{QV} = \frac{x-7}{12-7}$ (2)

Where $x$ is the length of segment $\overline{PS}$ .

If $QP = 2\cdot QV$ , then the value of $x$ is:

$2 = \frac{x-7}{5}$

$10 = x-7$

$x = 17$

The length of $PS$ is 17.

4 0

3 years ago

How to tell if speed is increasing or decreasing calculus?

Reptile [31]

You will need data that logs the changes in speed from various, consecutive events. Which you can use to calculate the difference in speed and determine wether the speed is increasing or increasing.

Otherwise, you only need the initial and finak value to find the difference.

$final \: - \: initial \: = \: difference$

6 0

3 years ago

Instructions: Given the coordinates, Complete the translation (x,y)→(x+2,y−2) C(−5,−1) D(−4,3) E(−3,2) F(−2,0)

MAVERICK [17]

the translations is,

C(-5,-1) → (-3,-3)

D(-4,3) → (-2,1)

E(-3,2) → (-1,0)

F(-2,0) → (0,-2)

What is Translation ?

The changes in the value of the x and y coordinates is known as translation.

Calculation:

The given points are C(-5,-1), E(-4,3), F(-3,2), F(-2,0).

according to the question (x,y)→(x+2,y-2)

this means x coordinate changes by addition of 2

And the y coordinate changes by subtraction of 2

Addition and Subtraction in the Coordinates,

C(-5,-1) → (-5+2,-1-2) → (-3,-3)

D(-4,3) → (-4+2,3-2) → (-2,1)

E(-3,2) → (-3+2,2-2) → (-1,0)

F(-2,0) → (-2+2,0-2) → (0,-2)

Learn more about the translation here:

brainly.com/question/15180519

#SPJ1

8 0

1 year ago

How do I rewrite the formula

Maurinko [17]

M+t-cn is the answer to rewrite the formula

8 0

3 years ago