Answer :
That’s it, the probability of getting tail on a single coin toss times the number of observations.
In this case, 1/2 * 72 = 36
However, there’s something called chance error. How much do you expect the result to differ from the expected value? It can be calculated as follows:
The Standard Deviation of this experiment is √(0.5)(0.5) =0.5
The Standard Error is √72 (0.5) ≈ 4.18330 round to the nearst tenth is 4
So, the expected value is 36, give or take 4.
And since the number of tails in a toss coin experiment is normally distributed, then you can expect the number of tails to be between -2 and +2 SEs from the expected value 95% of the time.
In other words, if you repeat this experiment a large number of times, you can expect to obtain between 27 and 43 tails 95% of the time.
Hope this helps
There is 1/5000 chance to win first place of $2000,
1/5000 chance to win second place of $500
3/5000 chance to win third place of $100
10/5000 chance to win the consolation prize of $25.
The ticket costs $1.
We multiply each probability by the amount, and subtract the ticket cost, to get the expected net earnings:
(1/5000)($2000) + (1/5000)($500) + (3/5000)($100) + (10/5000)($25) - $1 = $(-0.39).
This means that there is an expected loss of $0.39.
Answer:
Step-by-step explanation:
Given
Required
Represent the additional time needed as an inequality
Convert the previous time to minutes
Let the additional time be t
<em>This means that she needs to run at least t minutes to beat her previous record</em>
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To beat her previous record, the sum of current time and x must be less than her previous time. i.e.
This can be rewritten as:
Factoring this equation would get you (x+21)(x+1)
Answer:
A) 
Step-by-step explanation:
When given a balanced scale (represented by a hanger in this image), the sum of the values on one side equals the value on the other side. Thus, the equation that this hanger represents is the following:
Use inverse operations to solve this equation,
