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andreyandreev [35.5K]

2 years ago

10

You need to buy four cards but only have seven dollars to spend. Which inequality can you use to find the amount that you can af

ford if c represents the price of one card?
Select all and any qualities that could represent us word problem:
A.c/4 7
C.4c 7
E.c 28
G.c $1.75

1 answer:

suter [353]2 years ago

3 0

Answer:

a

Step-by-step explanation:

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On a map,1 inch equals 10 miles. Two cities are 8 inches on the map. What is the actual distance between the cites?

Zinaida [17]

Answer:

if 1 in= 10 miles, then, 8 in= 80 miles

Step-by-step explanation:

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EThe graph of a quadratic function passes through the points (6,0) and (p,0). The maximum point

MA_775_DIABLO [31]

Answer:

p = - 5

Step-by-step explanation:

The vertex of the function is (0.5, 30.25 )

Since the roots are (6, 0) and (p, 0) then the axis of symmetry is vertical

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The axis of symmetry passes through the midpoint of the roots, thus

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2 years ago

If $396 is invested at an interest rate of 13% per year and is compounded continuously, how much will the investment be worth in

Vilka [71]

Answer: First option is correct.

Step-by-step explanation:

Since we have given that

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Time = 3 years

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$A=Pe^{rt}$

Here,

P denotes Principle amount

r denoted rate of growth

t denotes number of years,

So, it becomes

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Fofino [41]

$x^{2} + y^{2} =25$ is equation of circle which have radius equal 5 and center in (0,0) point

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2 years ago

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

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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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2 years ago