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2 years ago

The first digit of a 2-digit number is randomly selected from the set {1, 2}. The second digit is

Mathematics

1 answer:

oee [108]2 years ago

7 0

The probability that the 2-digit number is prime is 3/8

<h3>How to determine the probability?</h3>

The sets are given as:

First digit = {1, 2}.

Second digit = {1, 2, 3, 4}

When the 2-digit is formed, we have:

Numbers = {11, 12, 13, 14, 21, 22, 23, 24}

In the above set, there are 3 prime numbers out of the 8 numbers.

Hence, the probability that the 2-digit number is prime is 3/8

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expeople1 [14]

Answer:

4−12≤24

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Step-by-step explanation:

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4 years ago

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4 years ago

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Setler [38]

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4 years ago

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Vsevolod [243]

Answer:

$(a+2b^{2} )(a-2b^2)$

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3 years ago

A guy wire for a suspension bridge runs from the ground diagonally to the top of the closest pylon to make a triangle. We can us

PolarNik [594]

Answer:

The guy wire lenght is 500 ft.

Step-by-step explanation:

The Pythagorean Theorem says the sum of the squares two adyacent sides is equal to the square of the opposite side.

Applied in this example, we can rephrase it as:

The sum of the square of the pylon height with the square of the distance from the guy wire tip to the pylon is Equal to the square of the Guy wire lenght.

So:

$PylonHeight^{2} + floordistance^{2} = GuyWireLength^{2} \\160.000 + 90.000 = GuyWireLength^{2} \\\\\sqrt{160.000 + 90.000} =GuyWireLength\\GuyWireLength= 500 ft$

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4 years ago