0.277, rounded to nearest hundredth

How do you write 3/6 in the simplest form

Molodets [167]

1/2 is the answer because 3 can divide into 6 evenly

4 0

3 years ago

There are 4 quarters, 5 nickels and 3 dimes in a jar. One coin is randomly drawn,

vagabundo [1.1K]

Answer:

$\displaystyle\frac{5}{36}$

Step-by-step explanation:

Probability is used to find how likely an outcome is to happen. Probability can be expressed as a fraction with the total outcomes as the denominator and the number of successful outcomes (what you want to happen) as the numerator.

Sample Size

The sample size is the number of possible outcomes. In this case, the sample size will be the total number of coins. To find the sample size we need to add together all of the coins.

4 + 5 + 3 = 12

This means that the sample size is 12. For this type of probability, the sample size will serve as the denominator for each probability.

Replacement

In the question, it is stated that coins are replaced. This means that the sample size will not change at any point. So, the denominator will be the same for every probability.

Creating Probability Fractions

We are looking for the probability of getting a quarter and nickel, so we need to find the fractions that represent both situations.

First, let's find the quarter. As stated in the first paragraph, the number of successful outcomes is the numerator. There are 4 quarters, so 4 is the number of successful outcomes. Therefore, 4 will be the numerator. Then, 12 will be the denominator because 12 is the sample size.

$\displaystyle\frac{4}{12}$

Next, we need to find the probability of a nickel. Since there are 5 nickels, there are 5 successful outcomes. Then, the sample size is still 12 because there is replacement.

$\displaystyle\frac{5}{12}$

Complex Probability

Now we have the probability of both a quarter and nickel alone. However, this question asks about the probability of both, so this is an example of complex probability. To find complex probability, you have to multiply each probability together.

$\displaystyle\frac{4}{12} *\frac{5}{12}=\frac{20}{144}$

To reach the final answer we have to simplify the answer.

$\displaystyle\frac{20}{144} =\frac{5}{36}$

This means that the probability of pulling a quarter and then a nickel is 5/36.

3 0

2 years ago

What x^2 x 3x + 1000x please help

Kruka [31]

Answer: x * (x + 1003)

Step-by-step explanation:

x^2 x 3x + 1000x

x^2 + 1003x

x * (x + 1003)

8 0

3 years ago

Please help me with number 12!

Olegator [25]

The answer is 10 quarters because 10 quarters would be $2.50. You would need 3 more nickles to get $2.65. 10 would be 7 more than 3.

4 0

3 years ago

Morgan is reupholstering an old chair with two circular cushions. Each cushion has a circumference of 7. 85 feet. He will need t

kramer

The total fabric Morgan needs to cover the cushions will be 19.64 square feet.

It is given that each cushion has a circumference of 7.85 feet.

It is known that the circumference of a circle = 2πr, where 'r' is the radius of the circle.

2πr = 7.85

r = 1.25

<h3>What is an area of a circle?</h3>

area of a circle is πr².

now, we can calculate the area = π× 1.25² = 4.91 square feet

since each circular cushion has two circular faces so the total number of faces Morgan needs to cover will be 4.

Therefore, the total fabric needed= 4×4.91 = 19.64 square feet.

to get more about the area of a circle, refer to the link:

brainly.com/question/12069107

8 0

3 years ago