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stellarik [79]
3 years ago
11

Bob won big at bingo last night, he walked away with $800. The first thing Bob does is to take a cab to his mother's house. He g

ives the cab driver $20 and tells him to keep the change. Bob then gives his mother 1/3 of his remaining winnings and decides to walk down the street to his aunt's house to share his winnings with her as well.Bob gives his aunt one-fourth of what money he has left. Lastly, Bob gives one-sixth of what he has left to his best friend and keeps the rest for himself. How much money does Bob get to keep? show ur work
Mathematics
1 answer:
Solnce55 [7]3 years ago
8 0
Initial amount of money: $800
After paying the cab driver $20   ;    money = $800 - $20 = $780
Giving his mother 1/3 of the remaining amount, leaving him with 2/3 of it.
                             money = ($780) x (2/3) = $520
Giving his aunt 1/4 of the remaining amount, leaving him with 3/4 of it.
                           money = ($520)(3/4) = $390
Giving his friend 1/6 of the remaining amount, leaving him with 5/6 of it.
                             money = ($390)(5/6) = $325
Therefore, the amount of money Bob gets to keep is equal to $325. 
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Answer: $80


Step-by-step explanation:

Given: The amount earned by Fadil on selling 14 televisions= $1400

Therefore, the amount he earned on selling 1 television=\frac{1400}{14}=\$100

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Then, the fixed amount Fadil earns for each​ television=\$100-\$20=\$80

Hence, Fadil earns $80 as the fixed amount for each televison.

4 0
4 years ago
What is the difference between categorical and quantitative data? Give examples of each of your own for each. Also decide whethe
Snezhnost [94]

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Categorical data examples are: race, sex, age group, and educational level

Quantitative data examples are: heights of players on a football team; number of cars in each row of a parking lot

 

a) Colors of phone cover - quantitative

b) Weight of different phones - quantitative

c) Types of dogs - categorical

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6 0
3 years ago
Solve by using substitution. Express your answer as an ordered pair.
romanna [79]

Answer:

(2,3)

Step-by-step explanation:

6 0
2 years ago
Standard Error from a Formula and a Bootstrap Distribution Sample A has a count of 30 successes with and Sample B has a count of
tia_tia [17]

Answer:

Using a formula, the standard error is: 0.052

Using bootstrap, the standard error is: 0.050

Comparison:

The calculated standard error using the formula is greater than the standard error using bootstrap

Step-by-step explanation:

Given

Sample A                          Sample B

x_A = 30                              x_B = 50

n_A = 100                             n_B =250

Solving (a): Standard error using formula

First, calculate the proportion of A

p_A = \frac{x_A}{n_A}

p_A = \frac{30}{100}

p_A = 0.30

The proportion of B

p_B = \frac{x_B}{n_B}

p_B = \frac{50}{250}

p_B = 0.20

The standard error is:

SE_{p_A-p_B} = \sqrt{\frac{p_A * (1 - p_A)}{n_A} + \frac{p_A * (1 - p_B)}{n_B}}

SE_{p_A-p_B} = \sqrt{\frac{0.30 * (1 - 0.30)}{100} + \frac{0.20* (1 - 0.20)}{250}}

SE_{p_A-p_B} = \sqrt{\frac{0.30 * 0.70}{100} + \frac{0.20* 0.80}{250}}

SE_{p_A-p_B} = \sqrt{\frac{0.21}{100} + \frac{0.16}{250}}

SE_{p_A-p_B} = \sqrt{0.0021+ 0.00064}

SE_{p_A-p_B} = \sqrt{0.00274}

SE_{p_A-p_B} = 0.052

Solving (a): Standard error using bootstrapping.

Following the below steps.

  • Open Statkey
  • Under Randomization Hypothesis Tests, select Test for Difference in Proportions
  • Click on Edit data, enter the appropriate data
  • Click on ok to generate samples
  • Click on Generate 1000 samples ---- <em>see attachment for the generated data</em>

From the randomization sample, we have:

Sample A                          Sample B

x_A = 23                              x_B = 57

n_A = 100                             n_B =250

p_A = 0.230                          p_A = 0.228

So, we have:

SE_{p_A-p_B} = \sqrt{\frac{p_A * (1 - p_A)}{n_A} + \frac{p_A * (1 - p_B)}{n_B}}

SE_{p_A-p_B} = \sqrt{\frac{0.23 * (1 - 0.23)}{100} + \frac{0.228* (1 - 0.228)}{250}}

SE_{p_A-p_B} = \sqrt{\frac{0.1771}{100} + \frac{0.176016}{250}}

SE_{p_A-p_B} = \sqrt{0.001771 + 0.000704064}

SE_{p_A-p_B} = \sqrt{0.002475064}

SE_{p_A-p_B} = 0.050

5 0
3 years ago
The sum of 60 and 30 is divided by 10 and the difference of quotient and 3 is divided by 2​
almond37 [142]

Answer:

Final result is 3.

Step-by-step explanation:

Quotient = (60 + 30) / 10

= 90/10

= 9.

Difference of quotient and 3

= 9 - 3

= 6

6 / 2 = 3.

8 0
4 years ago
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