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siniylev [52]
2 years ago
5

What is the least common multiple of 2 and 9​

Mathematics
1 answer:
Neko [114]2 years ago
3 0

Answer:

18

Step-by-step explanation:

The LCM is 18.

9x2=18

2x9=18

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“Twelve less than a number.”
Stolb23 [73]

Answer:

12-x

Step-by-step explanation:

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2 years ago
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Evaluate the expression<br> 7+10√1/25
nata0808 [166]
The answer is 9

You should download it kinda helps

4 0
2 years ago
Jocelyn has a collection of antique toy cars. She purchases a car for $450. Research shows this car's value will increase by 2.6
stich3 [128]

Answer:

Step-by-step explanation:

Y=y

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
The price of a mango at a fruit stand goes up 5 cents each month. The first month the stand was open, a mango cost $1.25. What w
Dahasolnce [82]

Answer:

$2.45        

Step-by-step explanation:    

Let x be the number of months.  

We have been given that price of a mango at a fruit stand goes up 5 cents each month. This means that price of mango in dollars after x months will be 0.05x (1 dollar=100 cents).

The first month the stand was open, a mango cost $1.25. This means that cost of mango in the x months after 1st month will be: 1.25+0.05x

Now let find the cost of mango in the 25 month by substituting x=24 in our expression because price will increase 24 times after 1st month.

\text{The cost of a mango be in the 25th month}=1.25+0.05*24

\text{The cost of a mango be in the 25th month}=1.25+1.2

\text{The cost of a mango be in the 25th month}=2.45

Therefore, the cost of a mango in the 25th month will be $2.45.

7 0
3 years ago
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