Question

On a flight on a commercial airplane, two-fifths of the passengers get off on the first stop, five-sixths of those remaining get off on the second stop, only twelve passengers arriving at the end of the trip. If no passengers boarded on each stop. How many people started the trip?

141

likes

706 views

Answer to a math question On a flight on a commercial airplane, two-fifths of the passengers get off on the first stop, five-sixths of those remaining get off on the second stop, only twelve passengers arriving at the end of the trip. If no passengers boarded on each stop. How many people started the trip?

$Expert avatar$

Gene

4.5

108 Answers

1. Let $ x $ be the total number of passengers who started the trip.

\text{Passenger number after first stop} = \frac{3}{5}x

2. Number of passengers remaining after the second stop:

\frac{1}{6} \times \frac{3}{5}x = 12

3. Simplify the equation:

\frac{3}{30} x = 12

\frac{1}{10} x = 12

4. Solve for $ x $:

x = 12 \times 10

x = 120

The total number of passengers who started the trip is:

120

Frequently asked questions (FAQs)

Math question: What is the slope and y-intercept of the line represented by the equation y = 3x + 5?

Math Question: What is the sum of the measures of the interior angles in an equilateral, isosceles, and scalene triangle?

Math Question: What is the slope-intercept equation of a line passing through the points (2, 5) and (5, 11)?

New questions in Mathematics

A sample is chosen from a population with y = 46, and a treatment is then administered to the sample. After treatment, the sample mean is M = 47 with a sample variance of s2 = 16. Based on this information, what is the value of Cohen's d?

Solution to the equation y'' - y' - 6y = 0

6. Among 100 of products there are 20 rejects. We will randomly select 10 of products. The random variable X indicates the number of rejects among the selected products. Determine its distribution.

Determine the momentum of a 20 kg body traveling at 20 m/s.

9b^2-6b-5

The expected market return is 13,86% and the risk free rate 1%. What would then be the risk premium on the common stocks of a company which beta is 1,55? (in %, 2 decimal places)

Subscribers to the FAME magazine revealed the following preferences for three categories: Fashion 30, Athletics 24 and Business 15. Following these frequencies of observation, compute the chi-square test statistic. At the 0.05 level of significance, would you conclude they are similar?

There were no defectives in a sample of 1 light bulb does this sample provide sufficient evidence that in the warehouse with millions of light bulbs fewer than 10% are defective?

find x in the equation 2x-4=6

The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $4.59 and a standard deviation of $0.10. Sixteen gas stations from the Bay Area are randomly chosen. We are interested in the average cost of gasoline for the 16 gas stations. 84. Find the probability that the average price for 30 gas stations is less than $4.55. a 0.6554 b 0.3446 c 0.0142 d 0.9858 e 0

Calculate the difference between 407 and 27

To find the increased amount on a standard term deposit with the following conditions: starting amount: BGN 13000, type of deposit: annual, annual compound interest rate: 1.4%, after 4 years;

8. Measurement Jillian measured the distance around a small fish pond to be 27 yards. What would be a good estimate of the distance across the pond: 14 yards, 9 yards, or 7 yards? Explain how you decided.

Sodium 38.15 38.78 38.5 38.65 38.79 38.89 38.57 38.59 38.59 38.8 38.63 38.43 38.56 38.46 38.79 38.42 38.74 39.12 38.5 38.42 38.57 38.37 38.71 38.71 38.4 38.56 38.39 38.34 39.04 38.8 A supplier of bottled mineral water claims that his supply of water has an average sodium content of 36.6 mg/L. The boxplot below is of the sodium contents levels taken from a random sample of 30 bottles. With this data investigate the claim using SPSS to apply the appropriate test. Download the data and transfer it into SPSS. Check that your data transfer has been successful by obtaining the Std. Error of the mean for your data which should appear in SPSS output as 0.03900.. If you do not have this exact value, then you may have not transferred your data from the Excel file to SPSS correctly. Do not continue with the test until your value agrees as otherwise you may not have correct answers. Unless otherwise directed you should report all numeric values to the accuracy displayed in the SPSS output that is supplied when your data has been transferred correctly. In the following questions, all statistical tests should be carried out at the 0.05 significance level. Sample mean and median Complete the following concerning the mean and median of the data. mean = mg/L 95% CI: to mg/L Based upon the 95% confidence interval, is it plausible that the average sodium content is 36.9 mg/L? median: mg/L The median value is 36.9 mg/L. Skewness Complete the following concerning the skewness of the data. Skewness statistic = Std. Error = The absolute value of the skewness statistic less than 2 x Std. Error Therefore the data can be considered to come from a population that is . Normality test Complete the following summary concerning the formal testing of the normality of the data. H0: The data come from a population that normal H1: The data come from a population that normal Application of the Shapiro-Wilk test indicated that the normality assumption reasonable for sodium content (S-W( )= , p= ). Main test Using the guidelines you have been taught that consider sample size, skewness and normality, choose and report the appropriate main test from the following ( Appropriate ONE ) You have selected that you wish to report the one-sample t-test. H0: The mean sodium content equal to 36.9 mg/L H1: The mean sodium content equal to 36.9 mg/L Application of the one-sample t-test indicated that the mean is 36.9 mg/L (t( ) = , p = ). You have selected that you wish to report the Wilcoxon signed rank test. H0: The median sodium content equal to 36.9 mg/L H1: The median sodium content equal to 36.9 mg/L Application of the Wilcoxon signed rank test indicated that the median is 36.9 mg/L (z = , N = , p = ).

Consider a sample space S, and two events A and B such that P(A ∩ B) = 0.2, P(A ∪ B) = 0.6, P(B ∪ ̄A) = 0.8 (a) [0.5 points] Calculate P (A). (b) [0.5 points] Calculation P (B)

5a-3.(a-7)=-3

Define excel and why we use it?

What is the set-off agreement? Make your own example, describe and put in T accounts how you record transactions.

f(r) = 1/r+9 find f(x^2) + 1

5 1/9 + 2 2/3

On a flight on a commercial airplane, two-fifths of the passengers get off on the first stop, five-sixths of those remaining get off on the second stop, only twelve passengers arriving at the end of the trip. If no passengers boarded on each stop. How many people started the trip?

You might be interested in