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3 years ago

What is 45.3% expressed as a decimal?

Mathematics

2 answers:

arlik [135]3 years ago

4 0

Answer: 45.3% = 0.453 in decimal form.

Step-by-step explanation: Percent means 'per 100'. So, 45.3% means 45.3 per 100 or simply 45.3/100.

If you divide 45.3 by 100, you'll get 0.453 (a decimal number). Read more below on this webpage.

As you can see, to convert from percent to decimal just divide the percent value (45.3) by 100, and remove the "%" sign.

hammer [34]3 years ago

3 0

0.453 because if u do the calculations u add the decimals up and you get the answer

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midpoint rule: 14.587831
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Step-by-step explanation:

We assume you want the integral ...

$\displaystyle\int_4^{14}{\sqrt{\ln{x}}}\,dx$

The width of each interval is 1/6 of the difference between the limits, so is ...

interval width = (14 -4)/6 = 10/6 = 5/3

Then the point p[n] at the left end of each interval is ...

p[n] = 4 +(5/3)n

Trapezoidal Rule

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$\dfrac{5}{3}\sum\limits_{n=0}^{5}\left(\dfrac{f(p[n])+f(p[n+1])}{2}\right)$

integral ≈ 14.559027

If you're doing this on a spreadsheet, you can avoid evaluating the function twice at the same point by using a weighted sum. Weights are 1, 2, 2, ..., 2, 1.

Midpoint Rule

This rule uses the area of the rectangle whose height is the function value at the midpoint of the interval.

$\dfrac{5}{3}\sum\limits_{n=0}^{5}{f(p[n+\frac{1}{2}])}$

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Simpson's Rule

This rule gives the result of approximating the function over each double-interval by a parabola. It is like the trapezoidal rule in that the sum is a weighted sum of function values. However, the weights are different. Again, multiple evaluations of the function can be avoided by using a weighted sum in a spreadsheet. Weights for 6 intervals are 1, 4, 2, 4, 2, 4, 1. The sum of areas is ...

$\dfrac{10}{3}\sum\limits_{n=0}^{2}{\left(\dfrac{f(p[2n])+4f(p[2n+1])+f(p[2n+2])}{6}\right)}$

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