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miskamm [114]
3 years ago
7

Suppose the income tax rate is 5%. Determine the amount of money

Mathematics
1 answer:
raketka [301]3 years ago
8 0

Answer:

$80750

Step-by-step explanation:

85k is what you have. Tax rate is 5%

85000*5/100=tax income

which equals to 4250

the remaining money is only 85000-4250=80750

You might be interested in
5/9+1/9 in simplest form. Explain.
Lana71 [14]

Answer:

2/3

Step-by-step explanation:

5/9 + 1/9

= 6/9

= 2/3 in simplest form

8 0
3 years ago
How many hours of sleep do you get each night? Is this a statistical question
noname [10]

Answer:

Yes.

Step-by-step explanation:

This is a statistical question because a statistical question is a question that can be answered by collecting data that vary. The question that you provided would have different answers from different people.

Another example of a statistical question could be: "How old are the students at my school?" This would be statistical because once again, the ages will vary from different people.

4 0
3 years ago
I need help with solving it
mars1129 [50]

The given equation has a slope of \frac{-9}{7}.  Parallel lines have the same slope.

Point-Slope formula: y - y₁ = m(x - x₁)  ; where (x₁, y₁) is the point and "m" is slope

y - y₁ = m(x - x₁)

y - (-4) = \frac{-9}{7}(x - 2)

y + 4 = \frac{-9}{7}x + \frac{18}{7}

<u>  - 4</u>     <u>       - \frac{28}{7}</u>

   y = \frac{-9}{7}x - <u>\frac{10}{7}</u>


7 0
3 years ago
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp
motikmotik

Answer:

The 95% confidence interval for the population mean rating is (5.73, 6.95).

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{50}(6+4+6+. . .+6)\\\\\\M=\dfrac{317}{50}\\\\\\M=6.34\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{49}((6-6.34)^2+(4-6.34)^2+(6-6.34)^2+. . . +(6-6.34)^2)}\\\\\\s=\sqrt{\dfrac{229.22}{49}}\\\\\\s=\sqrt{4.68}=2.16\\\\\\

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=6.34.

The sample size is N=50.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

s_M=\dfrac{s}{\sqrt{N}}=\dfrac{2.16}{\sqrt{50}}=\dfrac{2.16}{7.071}=0.305

The degrees of freedom for this sample size are:

df=n-1=50-1=49

The t-value for a 95% confidence interval and 49 degrees of freedom is t=2.01.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_M=2.01 \cdot 0.305=0.61

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 6.34-0.61=5.73\\\\UL=M+t \cdot s_M = 6.34+0.61=6.95

The 95% confidence interval for the mean is (5.73, 6.95).

4 0
4 years ago
Solve the equation -18=p/2?
sasho [114]

Answer:

p=-36


Step-by-step explanation:

-18=p/2

______________________

Multiply both sides by 2

-18(2)= p/2 (2)

______________________

-36 = p

switch the sides of the equation

______________________

p=-36


5 0
3 years ago
Read 2 more answers
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