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Elden [556K]
3 years ago
7

you have 5 cards, each with a different vowel on it. you select one card, then another without replacement. find P(a, then e)

Mathematics
1 answer:
shepuryov [24]3 years ago
7 0

Answer:

p(a)=1/5

p(e)=1/4

Step-by-step explanation:

There are 5 vowels: a, e, i, o, u.

The probability of a is 1/5 or 20%.

Then without replacement there are 4 cards left.

The probability of e becomes 1/4 or 25%

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What project did mary jackson work on at naca soon after she was hired?.
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2 years ago
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The population of a small town is decreasing exponentially at a rate of 14.3% each year. The current population is 9,400 people.
KonstantinChe [14]

Using an exponential function, the inequality is given as follows:

9400(0.857)^t < 6000

The solution is t > 2.9, hence the tax status will change within the next 3 years.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

A(t) = A(0)(1 - r)^t

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

For this problem, the parameters are given as follows:

A(0) = 9400, r = 0.143.

The population after t years is modeled by:

A(t) = A(0)(1 - r)^t

A(t) = 9400(1 - 0.143)^t

A(t) = 9400(0.857)^t

The tax status will change when:

A(t) < 6000

Hence the inequality is:

9400(0.857)^t < 6000

Then:

(0.857)^t < \frac{6000}{9400}

\log{(0.857)^t} < \log{\left(\frac{6000}{9400}\right)}

t\log{0.857} < \log{\left(\frac{6000}{9400}\right)}

Since both logs are negative:

t > \frac{\log{\left(\frac{6000}{9400}\right)}}{\log{0.857}}

t > 2.9.

The solution is t > 2.9, hence the tax status will change within the next 3 years.

More can be learned about exponential functions at brainly.com/question/25537936

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2 years ago
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$3 is not enough to buy a pound of raisins since it’s one dollar off but it is also not enough to buy a pound of walnuts because it’s off by $5

3 0
3 years ago
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Answer:

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Best of Luck!

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