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NeTakaya
3 years ago
8

In a doctor's office, the receptionist's annual salary is $159,000 less than that of the doctor. Together, the doctor and the re

ceptionist make $227,000 per year. Find each person's annual income.
Mathematics
1 answer:
Ann [662]3 years ago
8 0

Answer:

The salary of Doctor = $193,000

The salary of Receptionist = $34,000

Step-by-step explanation:

Given as,

Together ,the Doctor salary and the Receptionist salary = $ 227,000 per year

And the salary of Receptionist = The Doctor salary -$159,000 per year

Let the salary of Doctor = x

So, the Receptionist salary = x - $159,000 per year

And x + Receptionist salary = $ 227,000 per year

       x + x - $159,000 per year = $ 227,000 per year

Or,   2x = $ 386,000 per year

Or,     x = $ \frac{386000}{2}

Or,     x = $ 193,000

And the salary of Receptionist = $193,000 - $159,000 = $34,000

Hence,  The salary of Doctor = $193,000

And,       The salary of Receptionist = $34,000

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2 years ago
A credit reporting agency claims that the mean credit card debt in a town is greater than $3500. A random sample of the credit c
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H_0:\mu \leq 3500\\H_a:\mu = 3500

n = 20

Since n <30

So we will use t test

Formula : t =\frac{x-\mu}{\frac{s}{\sqrt{n}}}

s = standard deviation = 391

x = 3600

n = 20

t =\frac{3600-3500}{\frac{391}{\sqrt{20}}}

t =1.14

Degree of freedom = n-1 = 20-1 = 19

α=0.10

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t_({\frac{\alpha}{2},d.f.}) = 1.72

t critical > t calculated

So we accept the null hypothesis

Hence we reject the claim that the mean credit card debt in a town is greater than $3500.

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Step-by-step explanation:

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I hope this helps you :)

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