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kupik [55]
2 years ago
4

Of 120 visitors to an amusement park, 84 stayed for at least 3 hours, 76 spent at least $20, and 60 stayed for at least 3 hours

and spent at least $20. What is the probability that a randomly selected visitor stayed for at least 3 hours and spent less than $20?

Mathematics
1 answer:
pshichka [43]2 years ago
5 0
24 of the 120 visitors stayed at least 3 hours and spent less than $20. The probability that such a visitor is chosen at random is 24/120 = 1/5.

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GalinKa [24]

To find the area of the rectangular prism, use the formula:

A = width x height x length

A = 2 x 2 x 3

A = 12

Now multiply A with 0.75

12 x 0.75 = 9

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hope this helps

5 0
2 years ago
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Talulah is an ecologist who studies the change in the penguin population of Antarctica over time. She observed that the populati
Oksana_A [137]

Answer:

P(t) = 27000 * (1/9)^(t/4)

Step-by-step explanation:

This problem can me modelled with an exponencial formula:

P = Po * (1+r)^t

Where P is the final value, Po is the inicial value, r is the rate and t is the amount of time.

In this problem, we have that the inicial population/value is 27000, the rate is -8/9 (negative because the population decays), and the time t is in months, so as the rate is for every 4 months, we use the value (t/4) in the exponencial.

So, our function will be:

P(t) = 27000 * (1-8/9)^(t/4)

P(t) = 27000 * (1/9)^(t/4)

8 0
2 years ago
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Jonathan has a bag that has 2 red marbles and 3 blue marbles inside of it if you were to pick one marble from the bag without lo
Vika [28.1K]
There are 2 red marbles and 3 blue marbles, with a total of 5 marbles in the bag.

When Jonathan chooses a marble, we are saying that he is choosing the marble randomly.

Let's make a fraction. We want to know the chance of picking one of the 2 red marbles among all 5 marbles.

Divide 2 by 5

2/5

That's already a simplified fraction. If you want to convert this into decimal and into percentage, you would get

2/5
= 0.4
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Those are all acceptable answers.
Have an awesome day! :)
8 0
2 years ago
Compare the functions shown below: f(x) = 4x + 5 g(x) tangent function with y intercept at 0, 2 h(x) = 3 sin(2x + π) − 2 Which f
KATRIN_1 [288]
The y-intercept of the graph of a function is the value of f(0) for any function f.
That is, it is the y-value in the pair (0, y)



The y-intercept of <span>f(x) = 4x + 5 is f(0)=4*0+5=5

The y-intercept of (0, 2) is 2.

The y-intercept of </span>h(x) = 3 sin(2x + π) − 2 is:

h(0) = 3 sin(2*0 + π) − 2=3 sin(π) − 2=3*0-2=-2


<span>Answer: The function f has the greatest y-intercept.


</span>
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Is there only one way to create a factor tree? Explain
tatyana61 [14]
No, there are many ways
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