Step-by-step explanation:
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<em>Theoretical Probability Definition</em></h2>
<em>Theoretical probability is the theory behind probability. To find the probability of an event using theoretical probability, it is not required to conduct an experiment. Instead of that, we should know about the situation to find the probability of an event occurring. The theoretical probability is defined as the ratio of the number of favourable outcomes to the number of possible outcomes.</em>
<h3>
<em>Find </em><em>the </em><em>probability of rolling a 5 on a fair </em><em>di</em><em>e</em></h3>
<em>Solution:</em><em> </em>
<em>To find the probability of getting 5 while rolling a die, an experiment is not needed. We know that there are 6 possible outcomes when rolling a die. They are 1, 2, 3, 4, 5, 6.Therefore, the probability is,Probability of Event P(E) = No. of. Favourable outcomes/ No. of. Possible outcomes.P(E) = 1/6.Hence, the probability of getting 5 while rolling a fair die is 1/6.</em>
<em>I </em><em>hope </em><em>i</em><em>t</em><em> </em><em>helps</em>
The bell curve attached below shows the normal distribution of the data.
We are looking the value of X such as the area to its left gives the probability of 0.75
We first need the z-score which we can obtain by reading from the z-table (as shown in the second picture below)
The z-score is = 0.7734
Then we use the following formula to work out X
z-score = (X - Mean) ÷ Standard Deviation
0.7734 = (X - 100) ÷ 15
0.7734×15 = X - 100
11.601 = X - 100
X = 11.601 + 100
X = 111.601 ≈ 112
Hence the third quartile is 112
Using linear pairs,

By the exterior angle theorem,

Answer:
<h2><u>
36x
/y
</u></h2>
Step-by-step explanation:
Hope this helps
<h2><em>
:)</em></h2>
Answer: 16 units
Step-by-step explanation: adding the perimeter sides to get the perimeter of triangle ABC would be 4.1+6.1+5.8 = 16