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Veronika [31]
3 years ago
5

A bag contains 10 red marbles and 15 green marbles.If yuki selects a marble from the bag without looking, what is the probabilit

y that she will pull A-1/5 B-2/5 C-1/2
Mathematics
1 answer:
Grace [21]3 years ago
7 0

Incomplete Question (See Complete Question Below)

A bag contains 10 red marbles and 15 green marbles.If Yuki selects a marble from the bag without looking, what is the probability that she will pull a red marble?

A-1/5

B-2/5

C-1/2

Answer:

The probability of pulling a red marble is \frac{2}{5}

Step-by-step explanation:

Given

Red Marble = 10

Green Marble = 15

Required

The probability of picking a red marble

First, the total number of marble has to be calculated

Total = Red Marble + Green Marble

Total = 10 marbles + 15 marbles

Total = 25 marbles

The probability of an event is often calculated by dividing the number of required outcomes by the number of possible outcomes.

In this case, the probability of pulling a red marble is calculated as follows:

P(R) = \frac{n(R)}{T}

Where P(R) represents probability of pulling a red marble

n(R) represents number of red marbles

n(R) = 10

T represents total number of marbles

T = 25

By substitution,

P(R) = \frac{n(R)}{T} becomes

P(R) = \frac{10}{25}

Reduce fraction to lowest term by dividing the numerator and denominator by 5

P(R) = \frac{2}{5}

Hence, the probability of pulling a red marble is \frac{2}{5}

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The polynomial that gives the interest earned after a year will have variables, exponents and constants that are joined by operators.

  • The interest earned after one year is <u>0.018·x</u>

Reasons:

The amount Paul has to invest = $900

The annual interest rate from the savings account = 1.8%

The amount the money market account pays per year = 4.2 %

Required: The polynomial for the interest Paul earned by investing <em>x</em> dollars in the savings account.

Solution:

The interest earned is found using the compound interest formula as follows;

\displaystyle A = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t}}

Where;

A = The amount in the account after one year

P = The original amount invested = x

r = The interest rate offered on the investment = 1.8% = 0.018

t = The time of the investment = 1 year

n = The number of times of application of the interest per period = Once per year

Which gives;

Interest = Amount earned = A - P

Therefore;

\displaystyle Interest, \ I  = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t} - P}

Plugging in the values gives;

\displaystyle I  = x \cdot \left(1 + \frac{0.018}{1} \right)^{1 \times 1} - x = x \cdot 1.018^1 - x = 1.018 \cdot x - x = 0.018 \cdot x

The polynomial equation is therefore;

Interest, I = 0.018·x

Using the simple interest formula, we have;

\displaystyle Interest = \mathbf{\frac{P \times r \times t}{100}}

Which gives;

\displaystyle Interest = \frac{x \times 1.8 \times 1}{100}  = 0.018 \cdot x

Interest earned by investing in the savings account for one year, I = 0.018·x

  • The polynomial representing the interest earned is <u><em>I</em></u><u> = 0.018·x</u>

Learn more here:

brainly.com/question/11314161

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