All categories

3 years ago

How many states were added in the US between 1795 and 1855

1 answer:

7 0

There were 16 states added.
Tennessee, Ohio, Louisiana, Indiana, Mississippi, Illinois, Alabama, Maine,
Missouri, Arkansas, Michigan, Florida, Texas, Wisconsin, and California

You might be interested in

Helpppp, what is a solution set for |a|=6 A B C D

blondinia [14]

The answer should be a hope this helps :]

4 0

3 years ago

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

3 years ago

Match the number with its opposite. (4 points)

bazaltina [42]

I hope this helps!!!

1.C
2.A
3.B
4.D

8 0

3 years ago

If xy + x = 12 and dx/dt = -3, then what is dy/dt when x = 2 and y = 5?

dlinn [17]

If $xy + x = 12$ , then
$\dfrac{d}{dt}(xy+x)= \dfrac{d}{dt}(12)$ .
Use the chain rule:
$y\dfrac{dx}{dt}+x \dfrac{dy}{dt}+ \dfrac{dx}{dt}=0$ ,
Since x=2, y=5, dx/dt = -3, then

$5\cdot (-3)+2\cdot \dfrac{dy}{dt}+(-3)=0, \\ 2\cdot \dfrac{dy}{dt}=18, \\ \dfrac{dy}{dt}=9$ .

3 0

3 years ago

Analyze the diagram below and complete the instructions that follow. Find the unknown side length, x. Write your answer in simpl

allsm [11]

Answer:

The value of missing side is 32 unit .

Step-by-step explanation:

Given as :

The measure of hypotenuse = h = 60 unit

The other side = base = b = 68 unit

Let The missing side = x unit

Now, From Pythagoras Theorem

Hypotenuse² = Perpendicular² + Base²

And From figure

Or, p² = b² - h²

So, p² = 68² - 60²

Or, x² = 4624 - 3600

Or, x² = 1024

∴ x = $\sqrt{1024}$

I.e x = 32 unit

So,The missing side = x = 32 unit

Hence The value of missing side is 32 unit . Answer

4 0

3 years ago