The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces.
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Given:
A prism with height 5 cm and equilateral triangular base with side 2 cm.
To find:
The total surface area of the prism.
Solution:
Area of an equilateral triangle is:
Where, a is the side length.
Putting , we get
The base and top of the prism are congruent so their area must be equal.
The lateral surface area of the prism is:
Where, P is the perimeter of the base and h is the height of the prism.
The lateral surface area of the prism is:
Now, the total surface area is the sum of areas of bases and lateral surface area.
Therefore, the total surface area is 33.46 cm².
The probability that a two-digit number selected at random has a tens digit less than its units digit is 0.2667 (4/15).
There are 90 two-digit numbers (99-9). Of these, six numbers are divisible by 15 (15, 30, 45, 60, 75, 90). This is also divisible by 5. Therefore, the preferred case is 30-6 = 24. Therefore, the required probability is 24/90 = 4/15.
The probability of an event can be calculated by simply dividing the number of favorable results by the total number of possible results using a probabilistic expression. Whenever you are uncertain about the outcome of an event, you can talk about the probability of a particular outcome, that is, its potential.
Learn more about probability here: brainly.com/question/24756209
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