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OleMash
8 days ago
13

Marissa is drawing coins from a bag that contains 5 pennies (yellow), 4 nickels (green), 5 dimes

Mathematics
1 answer:
Leona [9.2K]8 days ago
7 0

Answer:

\frac{4}{16}=\frac{1}{4}=0.25=25\%

Step-by-step explanation:

The total number of coins in the bag amounts to 5 + 4 + 5 + 2 = 16 coins

The bag contains 4 nickels.

To determine the probability that Marissa draws a nickel from the bag, we must evaluate.

Probability is described as the ratio of "Favorable Outcomes" to "Total Possible Outcomes."

In this case, the total number of possible outcomes corresponds to the overall count of coins, which is 16.

The favorable outcome of pulling a nickel from the bag has a total of 4 instances. So, the amount of favorable outcomes is 4

Thus, the calculated probability of her drawing a nickel = \frac{4}{16}=\frac{1}{4}=0.25=25\%

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Rajan had 6000 RS in his bank account on a particular day a week later he deposited 150p RS and next day he had withdraw 1/3rd o
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Answer: After the withdrawal, Rajan's bank balance will be

6150 RS - 2050 RS = 4100 RS

Step-by-step explanation:

Initially, Rajan had 6000 RS in his bank account about a week ago. This indicates that the initial balance he possessed is 6000 RS.

One week later, he credited 150p RS to his account.

Thus, the current total in his account is

= 6000 RS + 150p RS = 6150 RS.

The following day, he withdrew one-third of his total balance. Therefore, the amount withdrawn is

1/3 × 6150 = 6150/3 = 2050 RS

After the withdrawal, his remaining balance in the bank will be the new total minus the amount withdrawn.

His remaining balance in the bank account post-withdrawal will be

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4 0
16 days ago
Find the interest for each loan. $252 at 8% for 2 years: ________ $400 at 2% for 6 months:________ $5,000 at 3.5% for 1 year:___
lawyer [9240]

Hello! I'm here to assist you! To calculate interest, we apply the formula prt, which involves multiplying the principal (the amount of money initially), the rate (the interest rate), and the time (typically in years). Here are the results:

$252 at 8% over 2 years yields $40.32
$400 at 2% for a duration of 6 months results in $4
$5,000 at 3.5% for 1 year gives $175
$6,240 at 10% for 9 months amounts to $468

For period calculations, we convert months into decimals: 6 months equals 0.5 years, and 9 months equals 0.75 years. Simply multiply the principal amount by the percentage in decimal form and by the time, and that’s it!

4 0
29 days ago
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Eric is studying people's typing habits. He surveyed 525 people and asked whether they leave one space or two spaces after a per
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Response: (0.8115, 0.8645)

Step-by-step outline:

Define p as the proportion of individuals who leave one space after a sentence.

Provided: Sample size: n= 525

Number of respondents indicating they leave one space: 440

Thus, the sample proportion is: \hat{p}=\dfrac{440}{525}\approx0.838

The z-score for a 90% confidence interval is: 1.645

The formula for determining the confidence interval:

\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

0.838\pm (1.645)\sqrt{\dfrac{0.838(1-0.838)}{525}}\\\\=0.838\pm (1.645)\sqrt{0.00025858285}\\\\=0.838\pm (1.645)(0.01608)\\\\= 0.838\pm0.0265\\\\=(0.838-0.0265,\ 0.838+0.0265)\\\\=(0.8115,\ 0.8645)

Consequently, a 90% confidence interval for the proportion of people who leave one space after a period is: (0.8115, 0.8645)

3 0
5 days ago
An investment of $7,650 earns interest at the rate of 5% and is compounded quarterly. What is the accumulated value of the inves
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FV = P(1 + r/t)^nt, where P denotes the principal amount, r is the interest rate, t is the frequency of compounding per year, and n is the total number of years.

Calculating: FV = 7650(1 + 0.05/4)^(9 x 4) = 7650(1 + 0.0125)^36 = 7650(1.0125)^36 = 7650(1.564) = $11,964.17

8 0
26 days ago
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While driving from his home to his workplace, Chris has to pass through two traffic lights. The general probability of getting a
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These occurrences are unlikely to take place!

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