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garik1379 [7]
3 years ago
13

The 7 a.m. flight from Dallas to Chicago is on time 75% of the time. Fran created this spinner to simulate the scenario. A spinn

er with 4 equal sections. 3 sections are shaded. Fran spun the spinner three times to predict whether the flight will be on time or late next Monday, Tuesday, and Wednesday. How should she interpret this outcome of the three spins: shaded-shaded-unshaded? The flight will be late all three days. The flight will be on time all three days. The flight will be late on one of the three days. The flight will be on time on one of the three days.
Mathematics
1 answer:
Paha777 [63]3 years ago
8 0

Answer:

<em>CORRECT OPTION is (C) The flight will be late on one of the three days.</em>

<em></em>

Step-by-step explanation:

The 7am flight from Dallas to Chicago is on time 75% of the time.

A spinner with four sections was created by Fran to simulate this scenario.

Since the 4 sections were equal, it means each section was 25% of the spinner.

3 sections were shaded. That implies 25 × 3 = 75% of the spinner was shaded area.

This coincides with the 75% probability that the flight is on time on a given day.

In other words, if the spinner's pointer lands on shaded area, the flight will be on time. If the pointer lands on an unshaded portion, the flight will be late.

Now Fran spun the spinner 3 times so she has 3 outcomes. The outcomes are:

- Shaded   - Shaded   - Unshaded

<em>CORRECT OPTION is (C) The flight will be late on one of the three days.</em>

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3. Three years ago, Jane was three times as old as Alice. In two years time, the sum of their ages will be 62. Determine their p
anzhelika [568]
3 yrs ago:

Alice - x 
Jane - 3x 

Fast forward 2 years... 1 year ago: 

Sum of their ages = 62


Equation to solve: x + 3x = 62 
                                4x = 62 
                               -----  -----
                                 4      4
 
                                 x = 15.5 

From this, we can deterime that Alice is 15 1/2 years old. 

Then, plug in 15.5 for x in 3x to find Jane's age. 

15.5 × 3 = 46.5

From this, we can determine that Jane is 46 1/2 years old. 


I hope this helps you to understand this problem better.


5 0
4 years ago
Read 2 more answers
Plz help! 20 points!
Colt1911 [192]
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5 0
4 years ago
I need help on this please
iren [92.7K]

Answer:

m∠ACB = 82°

Step-by-step explanation:

m∠ACB = 180° - m∠ACD

∠ACB and ∠ACD are supplementary, which add up to 180°

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-Chetan K

6 0
3 years ago
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A box contains 15 resistors. twelve of them are labelled 50ω and the other three are labeled 100ω. what is the probability that
Igoryamba

Answer : P(second resistor is 100ω , given that the first resistor is 50ω) is given by

\frac{1}{5}

Explanation :

Since we have given that

Total number of resistors =15

Number of resistors labelled with 50ω = 12

Number of resistors labelled with 100ω =3

Let A: Event getting resistor with 50ω

B: Event getting resistor with 100ω

Since A and B are independent events .

So,

P(A\cap B)=P(A).P(B)

Now, According to question , we can get that

P(A)= \frac{12}{15}=\frac{4}{5}\\\\P(B)=\frac{3}{15}=\frac{1}{5}

So,

P(A\cap B)=P(A).P(B)\\\\P(A\cap B)=\frac{4}{5}\times \frac{1}{5}\\\\P(A\cap B)=\frac{4}{25}

So, by using the conditional probability , which state that

P(B\mid A)=\frac{P(A\cap B)}{P(A)}

P(B\mid A)=\frac{\frac{4}{25}}{\frac{4}{5}}\\\\P(B\mid A)=\frac{5}{25}\\\\P(B\mid A)=\frac{1}{5}

So, P(second resistor is 100ω , given that the first resistor is 50ω) is given by

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4 0
3 years ago
Ummm how do you do this two questions?
guajiro [1.7K]

Answer:

Here are the formulae you need. Just plug in the values you have and you will get your answers.

Area of a triangle: 1/2*base*height

Volume of a rectangular prism: length*width*height

Volume of a cylinder: pi*r^2*height

Step-by-step explanation:

8 0
3 years ago
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