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MrMuchimi
2 years ago
13

A coin is flipped 70 times and lands on tails 21 times. what is the relative frequency of the coin landing on tails?

Mathematics
1 answer:
jarptica [38.1K]2 years ago
6 0

Given,

Total number of time coin is flipped = 70

number of time coin lands on tail = 21

<h3>What is Relative Frequency?</h3>

A relative frequency indicates how often a specific kind of event occurs within the total number of observations. It is a type of frequency that uses percentages, proportions, and fractions.

To find: relative frequency of coin landing on tail.

Probability = \frac{Number of favourable outcomes}{Number of total outcomes}

= 21 / 70

= 3 / 10

Relative frequency = 3 / 10 × 100

= 30%

To learn more about relative frequency from the given link

brainly.com/question/525194

#SPJ4

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Solve for the sum of the measures of the interior angles of a 14-gon. A. 12° B. 14° C. 2160° D. 2520°
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3 years ago
When 1,250 Superscript three-fourths is written in simplest radical form, which value remains under the radical?
Dvinal [7]

The value remains under the radical is 8 ⇒ last answer

Step-by-step explanation:

Let us revise how to write the exponent as a radical

  • a^{\frac{m}{n}} can be written as \sqrt[n]{a^{m}}
  • To simplify the radical factorize the base "a" to its prime factors

Example:

  • (54)^{\frac{2}{3}}=\sqrt[3]{(54)^{2}} ,
  • Factorize 54 into prime factors ⇒ 54 = 2 × 3 × 3 × 3 = 2(3)^{3}
  • \sqrt[3]{(54)^{2}}=\sqrt[3]{[2(3^{3}]^{2}}=\sqrt[3]{2^{2}*3^{6}}
  • 2² can not go out the radical because 2 is less than 3 not divisible by 3
  • 3^{6} can go out the radical because 6 is divisible by 3, then divide 6 by 3, so it will be 3² out the radical
  • \sqrt[3]{(54)^{2}}=3^{2}\sqrt[3]{2^{2}}=9\sqrt[3]{4}

Now let us solve your problem

∵ 1250^{\frac{3}{4}}=\sqrt[4]{1250^{3}}

- Factorize 1250 to its prime factors

∵ 1250 = 2 × 5 × 5 × 5 × 5

∴ 1250=2*5^{4}

∴ \sqrt[4]{(2*5^{4})^{3}}=\sqrt[4]{2^{3}*5^{12}}

∵ 2³ can not go out the radical because 3 < 4 and not divisible by it

- 5^{12} can go out the radical because 12 can divided by 4

∵ 12 ÷ 4 = 3

∴ 5^{12} can go out the radical as 5³

∴ \sqrt[4]{1250}=5^{3}\sqrt[4]{2^{3}}

∴ \sqrt[4]{1250}=125\sqrt[4]{8}

∴ The value remains under the radical = 8

The value remains under the radical is 8

Learn more:

You can learn more about the radicals in brainly.com/question/7153188

#LearnwithBrainly

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How is 15/45 equivalent to 45/135
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45/135 can be simplified to 15/45 by dividing both the numerator and denominator by 3. To get from one fraction the next you multiplied them both by 3. 15 x 3 =45 45 x 3= 135
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