A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A bike rental company charges a fee per hour.

The charge, in dollars, is the same each hour.

The ordered pairs (3, 13.50) and (5, 22.50) represent the corresponding hours, x, and cost, y.

Then the linear equation is given as

$\begin{aligned} \rm y - 22.5 &= \rm \dfrac{22.5 - 13.5}{5 - 3} (x- 5)\\\\\rm y - 22.5 &= \rm 4.5x - 22.5\\\\\rm y &= \rm 4.5x \end$

Then the rate of change of the function expressed as a unit rate will be

$\rm \dfrac{dy}{dx} = \dfrac{d}{dx} (4.5x )\\\\\dfrac{dy}{dx} = 4.5$

More about the linear system link is given below.

brainly.com/question/20379472

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7 0

2 years ago

5#The distribution of scores on a standardized aptitude test is approximately normal with a mean of 480 and a standard deviation

kirza4 [7]

We want to find the value that makes

$P(X\ge x)=0.2$

To find it we must look at the standard normal table, using the complementary cumulative table we find that

$P(Z\ge z)=0.20045\Leftrightarrow z=0.84$

Then, using the z-score we can find the minimum score needed, remember that

$z=\frac{x-\mu}{\sigma}$

Where

σ = standard deviation

μ = mean

And in our example, x = minimum score needed, therefore

$\begin{gathered} 0.84=\frac{x-480}{105} \\ \\ x=0.84\cdot105+480 \\ \\ x=568.2 \end{gathered}$

Rounding to the nearest integer the minimum score needed is 568, if you get 568 you are at the top 20.1%.

7 0

1 year ago

What is the area of the red shaded sector ?

scoundrel [369]

answer is 5.58

wait I explain it in some time

4 0

2 years ago