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3 years ago

The surface area of a swimming pool is 373 square feet. What is it’s surface area in square meters?

Mathematics

1 answer:

jeka57 [31]3 years ago

6 0

The surface area of swimming pool is 373 square feet .

In this question, we have to convert square feet to square meters, that is

$1 feet = 0.3048 meter$

Squaring both sides ,

$1 feet^2 = 0.3048^2 meter^2$

$1 feet ^2 = 0.09290304 meter^2$

And

$373 feet^2 = 373* 0.09290304 meter^2$

$373 feet^2= 34.653meter^2$

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Here's what I get.

Step-by-step explanation:

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For the equation y = ax + b, the formulas are

$a = \dfrac{\sum y \sum x^{2} - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}}\\\\b = \dfrac{n\sumx y - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}}$

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The line shows how arm span depends on height.

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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 $\large \boxed{\textbf{74 in}}$}$

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2 years ago

Jose bought a pair of sneakers, a gaming headset and a T-shirt for $77. The headset cost two times

Margarita [4]

Answer:

The cheapest item is T shirt costing $13.

Step-by-step explanation:

Let the cost of T shirt = $ m

So, the cost of the headset = $ (2m)

and, The cost of Sneakers = $ ( m + 25)

Total amount spent by Jose = $77

Now, According to the question:

$ m + $ (2m) + $ ( m + 25) = $77

or, 4m + 25 = 77 ⇒ 4m = 77 - 25 = 52

or, m = 52/4 = 13

⇒ The cost of one T- Shirt = m = $ 13

The cost of the headset = (2m) = 13 x 2 = $ 26

The cost of Sneakers = $ ( m + 25) = 13+ 25 = $ 38

As, out of all costs, $13 is the lowest cost

Hence, the cheapest item is T shirt costing $13.

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