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Cloud [144]
2 years ago
9

A bag contains orange, white, and purple marbles. If you randomly choose a marble from the bag, there is a 23% chance of drawing

an orange marble and a 48% chance of drawing a white marble. What is the probability of choosing a purple marble? Express your answer as a percent.
Mathematics
1 answer:
horrorfan [7]2 years ago
6 0

The probability of choosing a purple marble from the given parameters is given as; 29%

<h3>How to find the Probability?</h3>

We are given;

Probability of drawing an orange marble = 23% = 0.23

Probability of of drawing a white marble = 48% = 0.48

Thus, probability of drawing a purple marble is;

P(purple marble) = 100% - (23% + 48%)

P(purple marble) = 29%

Read more about Probability at; brainly.com/question/24756209

#SPJ1

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Pierre deposits $9,000 in a certificate of deposit that pays 1.4% interest, compounded semi-annually.
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Answer:

  • interest: $63
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Step-by-step explanation:

After 6 months, the interest accrued is ...

  I = Prt

  I = $9000·0.014·(6/12) = $63

This is added to the principal to get the balance at that point in time.

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The compound interest formula will give you the same result for one compounding period. It tells you the balance is ...

  A = P(1 +r/n)^(nt)

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5 0
3 years ago
Help answer ASAPPP 10 points
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Use vieta's theorem to solve the problems.
Mnenie [13.5K]

Using Vieta's Theorem, it is found that c = 72.

<h3>What is the Vieta Theorem?</h3>
  • Suppose we have a quadratic equation, in the following format:

y = ax^2 + bx + c

  • The roots are p and q.

The Theorem states that:

p + q = -\frac{b}{a}

pq = \frac{c}{a}

In this problem, the polynomial is:

x^2 - 17x + c

Hence the coefficients are a = 1, b = -17.

Since the difference of the solutions is 1, we have that:

p - q = 1

p = 1 + q

Then, from the first equation of the Theorem:

p + q = -\frac{b}{a}

1 + q + q = 17

2q = 16

q = 8

p = 1 + q = 9

Now, from the second equation:

pq = \frac{c}{a}

72 = c

c = 72

To learn more about Vieta's Theorem, you can take a look at brainly.com/question/23509978

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