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slavikrds [6]
2 years ago
12

There are five nickels and five dimes in your pocket. With replacing, what is the probability that you will pull a nickel the fi

rst time, a nickel the second time, and a dime the third time? Write your answer as a fraction in the simplest form explain
Mathematics
1 answer:
N76 [4]2 years ago
4 0

Answer:

1/8

Step-by-step explanation:

Probability of pulling a nickel the first time: 5/10

Probability of pulling a nickel the second time: 5/10 (remember that you are replacing)

Probability of pulling a dime the third time: 5/10

Total probability: 5/10 * 5/10 * 5/10 OR 1/2 * 1/2 * 1/2 = 1/8

im pretty sure this is the answer! i hope this helps! <3

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Once his parachute is open, a skydiver descends at a rate of 25 feet per second. 90 seconds after the parachute opens, his altit
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Using the information given and linear function concepts, it is found that:

  • a) The equation is: y(t) = -25t + 5000.
  • b) The skydiver’s altitude after the parachute has been open for 2 minutes is of 2000 feet.
  • c) It takes 200 seconds for the skydiver to reach the ground.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y(t) = mt + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when t changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

Item a:

  • The skydiver descends at a rate of 25 feet per second, hence m = -25.

Then:

y(t) = -25t + b

<u>90 seconds after the parachute opens, his altitude is 2750 feet</u>, which means that when t = 90, y = 2750, which is used to find b. Then:

2750 = -25(90) + b

b = 5000

Hence, the equation is:

y(t) = -25t + 5000.

Item b:

Time is in seconds, hence, this is y(120).

y(120) = -25(120) + 5000 = 2000

The skydiver’s altitude after the parachute has been open for 2 minutes is of 2000 feet.

Item c:

The time it takes to reach the ground is t for which y(t) = 0, hence:

-25t + 5000 = 0

25t = 5000

t = \frac{5000}{25}

t = 200

It takes 200 seconds for the skydiver to reach the ground.

You can learn more about linear functions at brainly.com/question/26065573

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