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Marizza181 [45]

3 years ago

6

At beginnings of population study a city had 330,000 people. Eac year since, the population has grown by 6.8% . let t be the num

ber of years since of study. let y be the cory population write an exponential function showing the relationship between y and t.

1 answer:

insens350 [35]3 years ago

3 0

Answer:

Y=330,000(1.068)^t

Step-by-step explanation:

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The forumal below is used to convert a temputure in degrees celsius, C, to a tempurturein degrees fahrenheit, F.

Vika [28.1K]

Answer:

59 F

Step-by-step explanation:

F=1.8C+32

Let C = 15

F = 1.8 (15) +32

Multiply 1.8 times 15

F = 27+32

F = 59

15 degrees C is 59 degrees F

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2 years ago

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ArbitrLikvidat [17]

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3 years ago

A punch recipe requires 2 cups of cranberry juice to make 3 gallons of punch. using the same recipe, what is the total amount of

mario62 [17]

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6 0

2 years ago

You have a recipe that indicates to use 2 parts of flour for every 5 parts of milk. You use 8 cups of flour. How much milk do yo

Drupady [299]

Answer:

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3 0

2 years ago

Read 2 more answers

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

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

6 0

3 years ago