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3 years ago

A coin is tossed 40 times and shows heads 23 times. Calculate the experimental probability of the coin showing heads.

Mathematics

1 answer:

Over [174]3 years ago

8 0

Answer:

0.575

Step-by-step explanation:

There are two types of probabilities:

1. Theoretical Probability

2. Experimental Probability

The probability based on mathematical theories is called theoretical probability. It is not always true. i.e. the probability of getting a head in a toss of coin is 1/2 or 0.5 or 50%

Experimental probability is based on experiments. Experimental probability is always going to change whenever the experiment is performed.

The theoretical probability of getting a head while tossing a coin will always be 50% while experimental probability might be different the next time, experiment is performed.

In this case, the experimental probability will be 23/40 or 0.575 ..

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Which system of equations could be graphed to solve the equation below? log Subscript 0. 5 Baseline x = log Subscript 3 Baseline

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You can use the fact that two expressions in equality can be considered to be equal to a third variable(not used in given context).

The system of equations that could be graphed to solve the equation given is

$y = \log_{0.5}(x)\\\\$
$y = \log_3(2+x)$

<h3>How can we form a system of equations from an equation?</h3>

Suppose the equation be $a = b\\$

Let there is a symbol $c$ such that we have $a = b = c$

It is because a and b are same measure (that is exactly what a = b means)

and we gave another name c to that measure.

Thus, we have

$a = c\\b = c$

in addition to $a = b\\$

<h3>Using the above method to find the system of equations needed</h3>

Since the given equation is $log_{0.5}(x) = log_2(2+x)$

The 2d graphs are usually expressed as $y = f(x)$ on X-Y plane.

Taking the equation's expressions equal to y, we get

$log_{0.5}(x) = log_2(2+x) = y$

or, we get system of equations as

$y = log_{0.5}(x)\\\\y = log_3{(2 + x)}$

Their graph is plotted below. The intersection point of both curves is the solution to the given equation as it satisfies both the equations of the system of equations formed from the given equation.

Thus,

The system of equations that could be graphed to solve the equation given is

$y = \log_{0.5}(x)\\\\$
$y = \log_3(2+x)$

Learn more about solutions to system of equations here:

brainly.com/question/14550337

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