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Inga [223]
3 years ago
14

I really don’t get it so please someone help thank cu

Mathematics
1 answer:
4vir4ik [10]3 years ago
6 0

Raj earned 58 and spent 42, so he saved 58-42 = 16.

Michael earned 83 and saved 20, so he spent 63, but that doesn't matter.

for Raj, 100% of his earning is 58, how much is 16 off of it as a percentage?


\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 58&100\\ 16&x \end{array}\implies \cfrac{58}{16}=\cfrac{100}{x} \implies 58x=1600 \\\\\\ x=\cfrac{1600}{58}\implies \boxed{x\approx 27.586}


for Michael, 100% of his earnings is 83, how much is 20 off of it as a percentage?


\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 83&100\\ 20&x \end{array}\implies \cfrac{83}{20}=\cfrac{100}{x}\implies 83x=2000 \\\\\\ x=\cfrac{2000}{83}\implies \boxed{x\approx 24.096}


and you can see clearly which percentage is higher.

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Answer:

0.7969

Step-by-step explanation:

Given that: A sample of size n= 49 is obtained. The population mean  is m= 80 and the population standard deviation is s = 14.

The z score measures the number of standard deviation by which the raw sore is above or below the mean. It is given by the equation:

z=\frac{x-m}{\frac{s}{\sqrt{n} } }

For x = 78.3, the z score is:

z=\frac{x-m}{\frac{s}{\sqrt{n} } }=\frac{78.3-80}{\frac{14}{\sqrt{49} } } =-0.85

For x = 85.1, the z score is:

z=\frac{x-m}{\frac{s}{\sqrt{n} } }=\frac{85.1-80}{\frac{14}{\sqrt{49} } } =2.55

P(78.3<x<85.1) = P(-0.85<z<2.55) = P(z<2.55) - P(z<-0.85) = 0.9946 - 0.1977 = 0.7969

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