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Dafna11 [192]
3 years ago
8

What is the volume of the right rectangular prism? cm^3

Mathematics
1 answer:
xenn [34]3 years ago
4 0
The answer is 21 because I added 8 + 10+3=and I got 21
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The value of x is -1/4. Order the expressions from least to greatest. Enter 1 for the least amount; 2 for the second least amoun
Natasha_Volkova [10]

Answer:

1/20 trust me

Step-by-step explanation:

pls

4 0
3 years ago
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PLS HELP QUICK <br> Find the length of side x in simplest radical form with a rational denominator
Alja [10]

Answer:

x= \sqrt{6}

Step-by-step explanation:

you might need a calculator to get the answer but since it is a right triangle the legs of the triangle in this case x and the\sqrt{6} are the same length

3 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
What is the probability of getting exactly 5 “heads” in 10 coin flips ?
castortr0y [4]

There are \dbinom{10}5=\dfrac{10!}{5!(10-5)!}=252 ways of getting exactly 5 heads in 10 tosses. There are 2^{10}=1024 possible outcomes. So the probability of getting exactly 5 heads is

\dfrac{252}{1024}=\dfrac{63}{256}\approx24.61\%

6 0
2 years ago
Read 2 more answers
Find the slope of the lines that passes through the points (1, -4) and (3, -1)​
lakkis [162]

Answer:

3/2

Step-by-step explanation:

formula: y2-y1/x2-x1

-1-(-4)/3-1=

-1+4/3-1

3/2

8 0
3 years ago
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