All categories

3 years ago

Another United States traveler arrives at a United States point of entry. He has purchased a Flat car abroad that cost him

Mathematics

1 answer:

mart [117]3 years ago

3 0

Answer:

The duty he has to pay is 156.25$.

Step-by-step explanation:

We know that for foreign-made vehicles imported into the U.S., whether new or used, either for personal use or for sale, are generally dutiable at the following rates: Cars: 2.5%.

From task we know that the Fiat car abroad that cost him $6,250.

We have the following proportion:

$100:6250=2.5:x\\\\100x=2.5\cdot 6250\\\\100x=15625\\\\x=156.25\\$

The duty he has to pay is 156.25$.

You might be interested in

5. The superintendent of the local school district claims that the children in her district are brighter, on average, than the g

anygoal [31]

Answer:

We conclude that children in district are brighter, on average, than the general population.

Step-by-step explanation:

We are given the following data set:

105, 109, 115, 112, 124, 115, 103, 110, 125, 99

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1117}{10} = 111.7$

Sum of squares of differences = 642.1

$S.D = \sqrt{\frac{642.1}{49}} = 8.44$

We are given the following in the question:

Population mean, μ = 106

Sample mean, $\bar{x}$ = 111.7

Sample size, n = 10

Alpha, α = 0.05

Sample standard deviation, s = 8.44

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 106\\H_A: \mu > 106$

We use one-tailed(right) t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{111.7 - 106}{\frac{8.44}{\sqrt{10}} } = 2.135$

Now,

$t_{critical} \text{ at 0.05 level of significance, 9 degree of freedom } = 1.833$

Since,

$t_{stat} > t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

We conclude that children in district are brighter, on average, than the general population.

4 0

3 years ago

Which algebraic expression represents "the difference of 54 and a number"?

atroni [7]

$\huge{\boxed{54-x}}$

The difference is the result of a subtraction problem.

We are given two values that are being subtracted: 54 and a number, represented by $x$

So, represent this mathematically with $\boxed{54-x}$ .

5 0

3 years ago

Read 2 more answers

1. Review the lesson above and use the guided notes to help you understand.

Nezavi [6.7K]

I have completed the 1st one and have attached it.

Download docx

3 0

4 years ago

A coordinate grid is shown below: A coordinate grid from negative 2 to 0 to positive 2 is drawn. There are three grid lines betw

Anastasy [175]

Answer:

Part A: 0

Part B: (-1,-1) since point (-1,1) is located in quadrent four when it is reflected over the y axis the second point would be located in quadrent three and the x and y would both be negative.

Step-by-step explanation:

3 0

3 years ago

A manufacturer of cream filled donuts collected data from its automatic filling process, the amount of cream inserted into the d

fenix001 [56]

Answer:

The correct value is t* = 2.797.

Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 25 - 1 = 24

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a two-tailed confidence level of $1 - \frac{1 - 0.99}{2} = 0.995$ . So we have T = 2.797.

4 0

3 years ago