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rosijanka [135]
3 years ago
15

The Law of Large Numbers: I need help on finding the probability of this situation.

Mathematics
1 answer:
Stella [2.4K]3 years ago
4 0

The mean time it takes to walk to the bus stop is 8 minutes (with a standard deviation of 2 minutes) and the mean time it takes for the bus to get to school is 20 minutes (with a standard deviation of 4 minutes). The distributions are normal. a. How long will it take (in minutes), on average, to get to school? b. What is the standard deviation of the trip to school? c. What is the probability that it will take longer than 30 minutes to get to school? Due to a miscalculation, you realize it actually takes an average of 10 minutes to walk to the bus stop. d. How long will it take (in minutes), on average, to get to school? e. What is the standard deviation of the trip to school? f. What is the probability that it will take longer than 30 minutes to get to school? The only ones I need help with is C and F. I have the answer for the rest of them. Can someone please help me with parts C and F??

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Hitman42 [59]

The two possible solutions to the given equation ( 6x^2-35 = -11x ) are x = 5/3 and x = -7/2

<h3>What are the two possible solution to the equation?</h3>

Given the equation; 6x² - 35 = -11x

The quadratic formula is expressed as;

x = [ -b±√( b² - 4(ac)  ]/2a

First, we re-arrange our equation in the form of ax² + bx + c = 0

6x² + 11x - 35 = 0

  • a = 6
  • b = 11
  • c = -35

We substitute into the formula.

x = [ -b±√( b² - 4(ac)  ]/2a

x = [ -11±√( 11² - 4( 6 × -35 )  ]/2×6

x = [ -11±√( 121 + 840 ]/12

x = [ -11±√961 ]/12

x = [ -11 ± 31 ]/12

x = (-11 + 31)/12,  (-11 + 31 )/12

x = 20/12,  -42/12

x = 5/3, -7/2

Therefore, the two possible solutions to the given equation ( 6x^2-35 = -11x ) are x = 5/3 and x = -7/2

Learn more about quadratic formula here: brainly.com/question/4038687

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8 0
2 years ago
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Answer:

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several students in Ashton 's class were randomly selected and asked how many text messages they sent yesterday. Their answers w
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Assoli18 [71]

y = mx + b \\  \\ y - b = mx \\  \\  \frac{y - b}{x}  = m
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The quotient of m and 350 equals 299
Sveta_85 [38]

Answer:

Step-by-step explanation:

m÷350 = 299

m = 299×350 = 104,650

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