Mathematics, 13.01.2021 16:10 randy719

You flip a coin 100 times in the air and find that it lands on heads 65 times. Determine the theoretical and experimental probability of landing on heads. In your final answer, include all of your calculations.

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Answer from: jmackenzie7

The experimental probability --> $\frac{13}{20}$

The theoretical probability --> $\frac{1}{2}$

Step-by-step explanation:

Key skills needed: Experimental vs theoretical probability, Fractions

1) The first thing you need to understand is experimental probability vs theoretical probability. (Do not include this in your work!!)

- Theoretical probability is based on simple reasoning

- Experimental probability is based on the results a person gets (so the experiment you did by flipping the coin)

2) Now with this, let's start solving:

Experimental probability ---> $\frac{heads}{total}$ --> You flipped the coin a total of 100 times, so the denominator would be 100. 65 of those would be heads so 65 is our numerator. So our experimental probability is --> $\frac{65}{100}$ --> Both have the factor of 5, so take the factor of 5 out of the numerator and denominator and you will get --> $\frac{13}{20}$ Now onto theoretical probability --> $\frac{heads}{total}$ --> There are 2 faces of a coin, 1 side is heads, and 1 side is tails --> The total number of faces is 2, so 2 is our denominator. There is only 1 side that is heads, so 1 is the numerator. This means --> Our theoretical probability is $\frac{1}{2}$

Hope you understood and have a nice day!! :D

Answer from: Quest

step-by-step explanation:

Which of the following is an odd function

Answer from: Quest

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

$ab^2+ac^2=bc^2$

$ab^2+ac^2=x^2$ )

triangle abd and cba are similar,

$\frac{ab}{bc}=\frac{bd}{ab}$

$ab^2=bc\cdot bd$

$25=bc\cdot bd$ (2)

triangle cad and cba are similar,

$\frac{ac}{bc}=\frac{cd}{ac}$

$ac^2=bc\cdot dc$

$7\times 7=bc\cdot dc$

$49=bc\cdot dc$ )

using (1), (2) and (3), we get

$25+49=x^2$

$74=x^2$

hence proved.

therefore option 2 is correct.

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