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Andreas93 [3]
3 years ago
6

Screenshot proidedpls answer quick

Mathematics
1 answer:
earnstyle [38]3 years ago
5 0

Answer: The price of the torch is 2 and 2/2.5 is 80% or 8/10th of the total price.

Step-by-step explanation:

x is the price of the battery

x + 1.50 is the price of the torch

x + (x + 1.50) is 2.50

x + (x + 1.50) = 2.50

2x = 2.50 - 1.50

2x = 1

x = 1/2

x = 0.50

The price of the torch is 2 and 2/2.5 is 80% or 8/10th of the total price.

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P(1, 10)and Q(7,4) are the endpoints of a line segment. What is the midpoint M of that line segment
melamori03 [73]

Answer:

(4, 7)

Step-by-step explanation:

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Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a per
Step2247 [10]

A scatter diagram has points that show the relationship between two sets of data.

We have the following data,

\left\begin{array}{ccccccc}\mathrm{x}&3&7&15&32&74\\\mathrm{y}&40&35&30&25&17\end{array}\right

where <em>x</em> is the average number of employees in a group health insurance plan and <em>y</em> is the average administrative cost as a percentage of claims.

To make a scatter diagram you must, draw a graph with the independent variable on the horizontal axis (<em>in this case x</em>) and the dependent variable on the vertical axis (<em>in this case y</em>). For each pair of data, put a dot or a symbol where the x-axis value intersects the y-axis value.

Linear regression is a way to describe a relationship between two variables through an equation of a straight line, called line of best fit, that most closely models this relationship.

To find the line of best fit for the points, follow these steps:

Step 1: Find X\cdot Y and X\cdot X as it was done in the below table.

Step 2: Find the sum of every column:

\sum{X} = 131 ~,~ \sum{Y} = 147 ~,~ \sum{X \cdot Y} = 2873 ~,~ \sum{X^2} = 6783

Step 3: Use the following equations to find intercept a and slope b:

\begin{aligned}        a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 147 \cdot 6783 - 131 \cdot 2873}{ 5 \cdot 6783 - 131^2} \approx 37.05 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 5 \cdot 2873 - 131 \cdot 147 }{ 5 \cdot 6783 - \left( 131 \right)^2} \approx -0.292\end{aligned}

Step 4: Assemble the equation of a line

\begin{aligned} y~&=~a ~+~ b \cdot x \\y~&=~37.05 ~-~ 0.292 \cdot x\end{aligned}

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3 years ago
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