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3 years ago

How do you concert 500% into a fraction and a decimal

Mathematics

2 answers:

ruslelena [56]3 years ago

6 0

500%= .500, 500/100

Pavel [41]3 years ago

6 0

500% = 500/100 = 5
fraction decimal

Answers are rounded to 7 decimal places

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Determine if each pair of ratios or rates is equivalent. Explain your reasoning. 288 miles on 12 gallons of fuel; 240 miles 10 g

lesantik [10]

Yes they are equivalent. This is because if you simplify each fraction : 288/12 and 240/10 they both equal 24.
$\frac{288}{12} = 24$
$\frac{240}{10} = 24$

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3 years ago

A certain car model has a mean gas mileage of 34 miles per gallon (mpg) with a standard deviation A pizza delivery company buys

zubka84 [21]

Answer:

$z =\frac{33.3- 34}{\frac{5}{\sqrt{54}}}= -1.028$

$z =\frac{34.3- 34}{\frac{5}{\sqrt{54}}}= 0.441$

An we can use the normal standard table and the following difference and we got this result:

$P(-1.028$

Step-by-step explanation:

Assuming this statement to complete the problem "with a standard deviation 5 mpg"

We have the following info given:

$\mu = 34$ represent the mean

$\sigma= 5$ represent the deviation

We have a sample size of n = 54 and we want to find this probability:

$P(33.3 < \bar X< 34.3)$

And for this case since the sample size is large enough >30 we can apply the central limit theorem and then we can use this distribution:

$\bar X \sim N(\mu , \frac{\sigma}{\sqrt{n}})$

And we can use the z score formula given by:

$z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And replacing we got:

$z =\frac{33.3- 34}{\frac{5}{\sqrt{54}}}= -1.028$

$z =\frac{34.3- 34}{\frac{5}{\sqrt{54}}}= 0.441$

An we can use the normal standard table and the following difference and we got this result:

$P(-1.028$

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3 years ago

Find all values of x such that sin 2x = sin x and 0 ≤ x ≤ 2π.

jarptica [38.1K]

Hello :
 sin 2x = sin x and 0 ≤ x ≤ 2π.
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k = 0 : x=0 , x= π/2
k=1 : x=2 π , x=3π/2

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