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3 years ago

Below are 36 sorted ages of an acting award winner. Find P80.

Mathematics

2 answers:

Serggg [28]3 years ago

8 0

The correct answer is:

1/36.

Explanation:

To find the experimental probability of an event, you use the following ratio:

(# of ways the event can occur)/(total number of events).

In this list, there is only one value that is 80. This means the value 80 can occur only one way.

There are 36 numbers in this list. This means that the total number of events is 36.

This gives us the probability P(80) = 1/36.

blsea [12.9K]3 years ago

3 0

P80 = 36 * 0.80 = 28.8

The above equation shows that the 80th percentile will have 28.8 values below it. So obtaining the 29th value will be the 80th percentile.

Looking at the given values, P80 = 67.

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Free_Kalibri [48]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

Volume of cylinder in terms of pi

amid [387]

The formula to calculate the volume of a cylinder is: V = Π h r², that is, Pi per height per radius squared Steps to follow: one When calculating the volume of a cylinder, you will need to measure the height (h) of the cylinder, a value that sometimes also receives the name of length. Let's give a concrete example to be able to apply the formula and that way you understand better how to carry out the operations. In this way, we will assume that the height or length of the cylinder is 10 cm. two On the other hand, you must also have the measure of the radius (r) of the cylinder, that is, the distance from the outer edge to the center of the circle that serves as the base of this polyhedral figure. Make sure you use the same unit of measure for each dimension, if they are expressed in different units, you must do the conversion to obtain the equivalence. Following the example, let's give the radio a value of 3 cm 3 So, knowing that the formula to calculate the volume of a cylinder is: V = Π h r² We just need to know how much pi is worth, remember? Yes, we can round it to 3.14 and, therefore, we will only need to substitute each value in the formula. Next, you must calculate the square of the radius (r²), multiplying the value by itself and then multiply the result of the height by Pi, by the result of the radius squared. V = 3.14 x 10 x 3² = 3.14 x 10 x 9 = 282.6 cm³ Remember to write the answer in the appropriate cubic unit of measure. So you can understand where you get the formula to calculate the volume of a cylinder: If you disarm a cylinder in your hands you will have two equal circles and a rectangle, right? First you must use the formula to take out the area of a circle that is: A = (Π) (r²) When you get the area of the circle you multiply it by the height of the cylinder and the result is the volume of the cylinder. Always remember to be careful with the units of measurement you use in calculations.

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2 years ago

From compound interest-Class 10.Suntali deposited Rs 9000 altogether in her saving account and fixed deposit account in a bank.S

Katarina [22]

Answer:

Step-by-step explanation:

Step-by-step explanation:

Year 1 - You earn interest on your Principal.

Year 2 - You earn interest on your (Principal + Interest of Year 1).

Year 3 - You earn interest on your (Principal + Interest of Year 1 + Interest of Year 2).

Compound interest is the basis of long-term growth of the stock market. It forms the basis of personal savings plans. Compound interest also affects inflation.

Types of Compound Interest

There are generally two types of compound interest used.

Periodic Compounding - Under this method, the interest rate is applied at intervals and generated. This interest is added to the principal. Periods here would mean annually, bi-annually, monthly, or weekly.

Continuous Compounding - This method uses a natural log-based formula and calculates interest at the smallest possible interval. This interest is added back to the principal. This can be equalled to the constant rate of growth for all natural growth. This figure was born out of physics. It uses Euler’s number which is a famous irrational number which is known to more than 1 trillion digits of accuracy. Euler’s number is denominated by the letter “E”.

Periodic Compound Interest Formula Overview

There are two formulas you can use to calculate compound interest, depending on what result you wish to find out. You can find out the following:

The total value of the deposit.

The total compound interest earned.

Value of the Deposit

Formulas can be a deterrent to many. If you aren’t savvy with math, your eyes turn away from these codes or just skip them altogether. But once it’s explained, it’s pretty simple to understand. To calculate the total value of your deposit, the formula is as follows:

P (1+ i/n)nt

P = Principal invested.

i = Nominal Rate of Interest.

n = Compounding Frequency or number of compounding periods in a year.

t = Time, meaning the length of time the interest is applicable, generally in years.

Simply put, you calculate the interest rate divided by the number of times in a year the compound interest is generated. For instance, if your bank compounds interest quarterly, there are 4 quarters in a year, so n = 4. This result must be multiplied to the power of the deposit period. For example, if your deposit is for 10 years, t = 10. This whole result should be multiplied by the principal you invested. The result generated will equal the total accumulated value of your deposit. You can find out how much your deposit is worth currently after accumulating interest.

Total Compound Interest Earned

To find out how much interest was earned, you can use the following formula for Compound Interest.

P[(1+ i/n))nt-1]

Compound Interest Equation and Calculation

To understand the compound interest equation further, we can break it down in simpler terms. If you decide to invest in a fixed deposit with compound interest, this is how you will earn interest every year.

Period Deposit Balance

Investment P

Year 1 P + iP

Year 2 (P+ iP) + i(P+iP)

To collapse this formula, we can pull out factors of (1+i). Simply substitute iP with (1+i) to get the following:

Period Deposit Balance

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2 years ago