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mote1985 [20]
3 years ago
5

A taxi ride costs $3 plus $2 per mile. When you rode in the taxi, the total cost was $39. How many miles did you travel?

Mathematics
2 answers:
irakobra [83]3 years ago
7 0

Answer:

18 miles

Step-by-step explanation:

Well, the problem did say a taxi ride costs $3 plus $2 for every mile. So, $39-3=$36, then, 36÷2=18 miles

KatRina [158]3 years ago
6 0
18 miles i think not sure.....
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A research firm conducted a study to determine the average amount of money that smokers spend on cigarettes during a week. The f
Ivanshal [37]

Answer:

0.9544 = 95.44% probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average

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 normal distributions can be 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}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The firm found that the population mean amount that all smokers spend on cigarettes is $20 and the population standard deviation is $5.

This means that \mu = 20, \sigma = 5

Sample of 100:

This means that n = 100, s = \frac{5}{\sqrt{100}} = 0.5

What is the probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average?

This is the pvalue of Z when X = 21 subtracted by the pvalue of Z when X = 19. So

X = 21

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{21 - 20}{0.5}

Z = 2

Z = 2 has a pvalue of 0.9772

X = 19

Z = \frac{X - \mu}{s}

Z = \frac{19 - 20}{0.5}

Z = -2

Z = -2 has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

0.9544 = 95.44% probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average

3 0
3 years ago
The length of a rectangle is 8 ft longer than twice the width. If the perimeter is 64 ft, find the length and width of the recta
dmitriy555 [2]

Answer:

8x*x=64

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Step-by-step explanation:

4 0
3 years ago
In a school canteen, each of the 48 students bought one type of food during recess. One-eighth of them got sandwiches, one-fourt
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The <em>number of students</em> who got, Sandwiches , Spaghetti, Potatoes and pancakes are 6, 12, 8 and 22 respectively.

The Fraction of the students who got a certain type of food multiplied by the total number of students :

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<u>Number of students who got potato</u> :

1/6 × 48 = 8 students

<u>Number of students who got </u><u>Pancake</u> :

(1 - (1/8 + 1/4 + 1/6)) × 48

0.4583333 × 48 = 22 students

Therefore, 22 students got Pancakes

Learn more :brainly.com/question/18112348

5 0
3 years ago
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