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nadezda [96]
2 years ago
12

An integer is chosen at random from 1 to 50 inclusive. Find the probability that the chosen integer is divisible by 3. 8/25 3/10

3/50
Mathematics
1 answer:
pogonyaev2 years ago
3 0

How many numbers from 1 to 50 are multiples of 3?

3, 6, 9, 12, 15, 18 .......

Let's change the start and end value of the array and find the number of terms

Start at 3 and go all the way to 48 because those are the first and last multiples of 3 in this array.

There is a formula that allows us to quickly find the number of terms

We subtract the first term from the last term and divide by the amount of increase, then we add 1.

(48 - 3) / 3 + 1   =   16 numbers are exactly divisible by 3.

We have 50 numbers and 16 of them divisible by 3

16 / 50  = 8 / 25 probability

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Perimeter of the base = 8 + 5 + 5 = 18 ft

Height = 7 ft

Base area = 1/2 x 8 x 3 = 12 ft²

Surface area = (18)(7) + 2(12) = 150 ft²

--------------------------------------------------
Answer: 150 ft²
--------------------------------------------------

The above answer is according to the worksheet but I will present it in another way for you to understand better.

The figure has 5 sides

-------------------------
Bottom Triangle
-------------------------
Area = 1/2 x base x height
Area = 1/2 x 8 x 3
Area = 12 ft²

-------------------------
Top Triangle
-------------------------
Top Triangle = Bottom Triangle
Top Triangle = 12 ft²

-------------------------
3 Rectangles on the sides
-------------------------
Area of 1st Rectangle = Length x Width
Area of 1st Rectangle = 7 x 5 = 35 ft²
Area of 2nd Rectangle = 7 x 5 = 35 ft²
Area of 3rd Rectangle = 8 x 7 = 56 ft²
Total area of the rectangles = 35 + 35 + 56 = 126 ft²

-------------------------
Total Surface Area
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126 + 12 + 12 = 150 ft²

<em>(*Area of the 3 rectangles + top triangle + bottom triangle)
</em>
-------------------------
Answer: 150 ft²
-------------------------

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