Answer:
p = 30/1/3 or 91/3 or 30.33
Step-by-step explanation:
2 + p = 7/3 + 30
p = 32/1/3 - 2
p = 30/1/3
The answer is C 16:20 because both numbers 4&5 are multiplied by four
1) Experimental probability of drawing a Club = 9 / 40
The experimental probability is the probability of the event occurring in the experiment. You use your results to find the experimental probability. This is over the total amount of trials. In this experiment, 9 clubs were drawn. Thus, the experimental probability of drawing a club is 9 / 40.
2) Relative frequency of drawing a Spade = 1 / 5
Relative frequency is the same as experimental probability. You use your results and set the experiment number over the total number of trials. Thus, the relative frequency of drawing a Spade is 8 / 40, or 1 / 5.
3) Theoretical probability of drawing a Heart = 1 / 4
The theoretical probability is the expected probability. There are 13 hearts out of a full deck of 52 cards. Thus, the theoretical probability of drawing a heart is 13 / 52 or 1 / 4.
4) Theoretical probability of drawing a Club or Diamond = 1 / 2
The theoretical probability is the probability that is expected. In this scenario, it will be the number of clubs plus the number of diamonds in a deck of cards over the total number of cards in a full deck. And, or means that either probability could occur and we should add. Thus, the theoretical probability of drawing a club or diamond is 26 / 52 or 1 / 2.
5) The difference between experimental and theoretical probability is that experimental probability is the probability of an event occurring based on your experiment and results. The theoretical probability is the expected probability of an event occurring. It is not based on your experiment, and in a completely fair experiment, would be the probability of an event occurring. For example, flipping a coin. The theoretical probability of getting heads when you flip a coin is 0.5. But say in your experiment of 50 trials you get heads 15 times. The experimental probability would be 15 / 50.
Hope this helps!! :)
Answer:
The measure of the largest angle is 120°
Step-by-step explanation:
<em>Lets explain how to find the measure of an angle from the length of the </em>
<em>sides of the triangle</em>
- We can do that by using the cosine rule
- If the three angles of the triangle are A , B , C, then the side opposite
to angle A is BC , the side opposite to angle B is AC and the side
opposite to angle C is AB, So to find measure of angle A use the rule
<em>Lets solve the problem</em>
- Assume that the triangle is ABC where AB = 14 cm , BC = 10 cm and
AC = 6 cm
- We need to find the measure of the largest angle
- The largest angle is opposite to the longest side
∵ The longest side is AB
∴ The largest angle is C
By using the rule above
∴ 
∵ AB = 14 cm , BC = 10 cm , AC = 6 cm
∴ 
∴ 
∴ 
∴ cos(C) = -0.5 ⇒ that means angle C is obtuse angle
∴ m∠C = 
* <em>The measure of the largest angle is 120°</em>
