It is 2,949 miles round trip to Craig's aunt's house.

Angelina_Jolie [31]

One meter is composed of approximately 3.28 feet. To convert a certain measure in feet to meter, divide the number by 3.28. From the given above, using dimensional analysis and the conversion factor,

(750 ft) x (1 m/ 3.28 ft) = 228.66 m

Thus, 750 ft is approximately 228.66 in meters.

6 0

3 years ago

Pls help! Due today. The last box is the choices of a.m or p.m

butalik [34]

Answer: 12pm

Step-by-step explanation: it takes him 2 hours to fill 1800 another 2 hours would be 12pm if you have 1000+1000 you get 2000. then add 800 and 800. you get 1600 add them all together you get 3600.

4 0

3 years ago

Read 2 more answers

Find the value of x y and z below !

ehidna [41]

Answer:

$x=67, y=121, z=65$

Step-by-step explanation:

One property of parallelogram is that opposite angles have the same measure, so we can write down:

$(y-9)=112\\y=121$

Another property is that two adjacent angles are supplementary (meaning that they add up to 180 degrees). Thus, the following equations are true:

$(z+3)+112=180\\(x+1)+112=180$

Solve the equations:

$(z+3)+112=180\\z+115=180\\z=65\\(x+1)+112=180\\x+113=180\\x=67$

To check, add up all 4 angles and check if they sum up to 360 degrees:

$x=67, y=121, z=65\\(y-9)+(x+1)+(z+3)+112=360\\(121-9)+(67+1)+(65+3)+112=360\\112+68+68+112=360\\360=360$

And please ignore the fact that I cannot insert the degree sign :(

8 0

2 years ago

Do not solve the system below. Its solution is (x, y)

Natalija [7]

Answer:

(x,y) = (1,1)

8 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