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2 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]2 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$.

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Susie ran a race. She ran 555 miles an hour, and the race took her ttt hours to complete. How long was the race? Write your answ

VMariaS [17]

1000 is it i think for sure

6 0

2 years ago

The heights of 1000 students are approximately normally distributed with a mean of 174.5 centimeters and a standard deviation of

yuradex [85]

A. The mean and standard deviation.

The mean of a sampling distribution is approximately equal to the mean of the population. Given that the mean of the population is equal to 174.5, the mean of the sampling distribution is also this value.

The standard deviation of a sample distribution is equal to,

u(m) = u/sqrt n

Substituting the known values,

u(m) = 6.9 / sqrt 25 = 1.38

b. Get the z-score of both items,

z-score = (data point - mean) / standard deviation

z-score of 172.5
z-score = (172.5 - 174.5) / 1.38 = -1.49
This translates to 0.068.

z-score of 175.8
z-score = (175.8 - 174.5) / 1.38 = 0.94
This translates to 0.83.

The difference between the two z-scores is 0.762.

The number of samples with this height is 0.762(200) which is equal to approximately 152.

c. z-score of 172 centimeters

z-score = (172 - 174.5) / 1.38

z-score = -1.81
This translates to 0.03.

The number of people with this height from the sample is (0.03)(200) = 6

8 0

2 years ago

Hannah took $50.00 to go shopping and she bought 2 shirts for $17.00 each how change did she have left

Vlad1618 [11]

Answer: Hannah had $16.00 left.

Step-by-step explanation: First, you add $17.00 plus $17.00 or $17.00 times 2 which gives you $34.00. Then, you subtract $50.00 minus $34.00 which gives you $16.00.

4 0

2 years ago

ratelena [41]

Answer:

The no. of possible handshakes takes place are 45.

Step-by-step explanation:

Given : There are 10 people in the party .

To Find: Assuming all 10 people at the party each shake hands with every other person (but not themselves, obviously) exactly once, how many handshakes take place?

Solution:

We are given that there are 10 people in the party

No. of people involved in one handshake = 2

To find the no. of possible handshakes between 10 people we will use combination over here

Formula : $^nC_r=\frac{n!}{r!(n-r)!}$

n = 10

r= 2

Substitute the values in the formula

$^{10}C_{2}=\frac{10!}{2!(10-2)!}$

$^{10}C_{2}=\frac{10!}{2!(8)!}$

$^{10}C_{2}=\frac{10 \times 9 \times 8!}{2!(8)!}$

$^{10}C_{2}=\frac{10 \times 9 }{2 \times 1}$

$^{10}C_{2}=45$

No. of possible handshakes are 45

Hence The no. of possible handshakes takes place are 45.

4 0

2 years ago

A quality control manager at an auto plant measures the paint thickness on newly painted cars. A certain part that they paint ha

Scorpion4ik [409]

Answer:

78.88% probability that the mean thickness in the sample of 100 points is within 0.1 mm of the target value

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .