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3 years ago

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David measured the height of a window frame as 5.61 feet, but the actual height was 6 feet. What is the percentage of error in D

avid's measurement?

1 answer:

Nataly [62]3 years ago

4 0

<h2>Percentage of error in David's measurement is 6.5 %</h2>

Step-by-step explanation:

Measured height = 5.61 feet

Original height = 6 feet

Error in measurement = Original height - Measured height

Error in measurement = 6 - 5.61

Error in measurement = 0.39 feet

$\texttt{Percentage of error in David's measurement = }\frac{\texttt{Error in measurement}}{\texttt{Original height}}\times 100\\\\\texttt{Percentage of error in David's measurement = }\frac{0.39}{6}\times 100\\\\\texttt{Percentage of error in David's measurement = }6.5\%$

Percentage of error in David's measurement is 6.5 %

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PLEASE HELP !!!!!!! Jordan got a new money bank for his birthday with $20 inside. He puts part of his weekly allowance in his ba

kupik [55]

Answer:

Slope of the function is $=3.75$ ,Y-intercept $=20$ .

The function is $y=3.75(x)+20$ with initial value $=20$ ,Jordan puts $\$3.75$ each week andthe amount saved by Jordan after $52$ week $=215\$$ .

Step-by-step explanation:

To understand the slope and y-intercept lets assign $x$ as number of weeks and $y$ as the money saved by Jordan.

Jordan is already having a sum of $\$20$ inside the money bank so in $0$ week the amount is $\$20$ can be written as $(x,y) =(0,20)$ in coordinate form.

SImilarly

We have $(x,y) =(0,20)$ and $(x_1,y_1) =(25,113.75)$

Part A:

The function is $y=m(x)+b$

From point-slope form,we have slope (m)

and $m=\frac{y_1-y}{x_1-x}$ ,plugging the values of the points.

$m=\frac{113.75-20}{25-0}=3.75$

Y-intercept of this function is the constant term or the money of $\$20$ that is already inside the money bank.

We can also calculate y-intercept by arranging the function as $b=y-m(x)$ choosing any $(x_1,y_1) = (25,113.75)$ coordinate and here $b$ is the y-intercept.

The result will be same.

Part B:

The equation <u> $y=3.75(x)$ </u> can represent the function described.

And the initial value is the <u>y-intercept $=\$20$ </u>

Jordan puts<u> $3.75$ </u>in his bank each week.

After $52$ week the amount saved by Jordan ,here $x=52$ ,as the x-variable is the number of weeks.

Plugging the value of $x=52$ in $y=m(x)+b$ where $m=3.75$ so the equation becomes $y=3.75(x)+20$

$y=3.75(x)+20 =3.75(52)+20=\$215$

So basically the function is $y=3.75(x)+20$ and the amount saved by Jordan after $52$ week $=215\$$ .

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3 years ago