Answer:
3 cm on the map represents 31.5 km in reality.
3cm : 31.5 km
1cm : 31.5/3 km
1cm : 10.5km
So the scale on the map is 1cm represents 10.5 km.
The number of possible outcomes is 8.
The probability of getting exactly one tail is 3/8.
The probability of getting at most two tails is 3/4.
<h3>What are the probabilities?</h3>
Here is the sample space if 3 coins are tossed: {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}. There are 8 possible outcomes.
The probability of getting exactly one tail = number of times only one tail is gotten / total number of possible outcomes
3/8.
The probability of getting at most two tails = number of times at most two tails is gotten / total number of possible outcomes = 6/8 = 3/4
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Note that x is measured in radians.
The percent difference or error between sin(x) and tan(x) is calculated as
We want this percent difference to be less than 10.4%.
Because tan(x) > sin(x) for small values of x, define
From the calculator, obtain
sec⁻¹ 1.104 = 0.4375
Answer: x = 0.4375 radians
Answer:
90
Step-by-step explanation:
because m3+m4 = 90 and m2 and m4 are corresponding angles. therefore m4 = m2 so m3 +m2 = 90
(How to find) Theoretical probability is what we expect to happen, where experimental probability is what actually happens when we try it out. The probability is still calculated the same way, using the number of possible ways an outcome can occur divided by the total number of outcomes.
(How to solve) Theoretical probability is a method to express the likelihood that something will occur. It is calculated by dividing the number of favorable outcomes by the total possible outcomes. The result is a ratio that can be expressed as a fraction (like 2/5), or a decimal
(How to experiment) Experimental probability is the results of an experiment, let's say for the sake of an example marbles in a bag. Experimental probability would be drawing marbles out of the bag and recording the results. Theoretical probability is calculating the probability of it happening, not actually going out and experimenting.
(Example) The theoretical probability of an event occurring is an "expected" probability based upon knowledge of the situation. It is the number of favorable outcomes to the number of possible outcomes. Example: Find the probability of rolling a 6 on a fair die.
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