Answer:
The probability that a randomly selected small cube is rolled and the face on the top is black is P=0.2.
Step-by-step explanation:
We have a cube, with the faces painted black, that each side is divided in 5, so we end up with 125 cubes.
We have to calculate the probability that a randomly selected cube is rolled and the face on the top is black.
This probability is equal to the proportion of black area in the total area of the cube.
We can define the side of the original cube as A=5a, being a the side of the small cubes.
The area that is painted black is equal to the sum of 6 squares of side A. In terms of a, that is:
The total area of the 125 small cubes is:
Then, the ratio of black surface to the total surface is:
Then, we can conclude that the probability that a randomly selected small cube is rolled and the face on the top is black is P=0.2.
A percentage is a way to describe a part of a whole. The amount that Kelly will pay for the dress is $33.
<h3>What are Percentages?</h3>
A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given Kelly wants to buy a dress that costs $40.00. She has a coupon for 25% off, and there is a 10% sales tax. Therefore, the amount she will pay is,
25% of $40.00 is,
0.25 × $40 = $10
After using the coupon, the sale price is,
$40 - $10 = $30
The 10% tax on the sale price is,
0.10 × $30 = $3
The final price is $
$30 + $3 = $33
Hence, the amount that Kelly will pay for the dress is $33.
Learn more about Percentages:
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True. Two lines intersect in a single point.
Answer:
6
Step-by-step explanation:
8.5 can also be written as 8.50. If you take the digits in the hundredths place, 10 and 4, and subtract them, you get 6.
