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Darina [25.2K]
3 years ago
7

Cameron went on a diet for 2 months (8 weeks). He drank 80 fluid ounces of water per day during the first 3 weeks of his diet an

d 64 fluid ounces of water per day for the next 3 weeks. For the last 2 weeks, he drank 56 fluid ounces of water per day. Approximately how many gallons of water did Cameron drink per month?
Mathematics
1 answer:
Cerrena [4.2K]3 years ago
3 0
(240)(3)+(64)(3)+(56)(2) = 1024
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Find the slope of the line that passes through each pair of points.
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6. m=2
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2 years ago
Determine the possible side lengths of the third side of a triangle with known side lengths 3 and 6. answers: –3 < c < –9
vovangra [49]

Answer:

3 < c < 9

Step-by-step explanation:

The length of a side of a triangle cannot be negative. This eliminates the first and last options.

The addition of two sides of a triangle must be greater than the third side. In this case:

3 + 6 = 9 > c

So, the second option is correct. The third option is not correct, because, for example, c = 8 is possible

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How far does Miss Ireland live from Mrs. Brown if
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90 miles driving at 45 mph for 2 hours

8 0
2 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
Help me!!!!!!!!!!!!!!
MA_775_DIABLO [31]

11. sin A = 7/25

cos A = 24/25

tan A = 7/24

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3 years ago
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