The parks department has started building a new playground at Canyonside Park. The shape of the playground is shown below.
2 answers:
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Simple...
you have: x=2 --->>>
plug it in-->>>
=14
Thus, your answer.
you have: x=2 --->>>
plug it in-->>>
=14
Thus, your answer.
Answer:
P=0.125
If it is repeated 10,000, it is expected "3 tails in a row" about 1,250 times.
Step-by-step explanation:
When flipping a coin a number of times, we can modeled this as a random variable with a binomial distribution.
In this case, we have to calculate the probability of 3 consecutive tails. If we define p as the probability of getting a tail (which has a value of p=0.5 if it is an unbiased coin), the probability of getting 3 tails in a row is:
If that event of "flipping a coin 3 times" is repeated 10,000 times, we can expect to have 3 tails in a row about 1,250 times:
because we expect 0.125 events of this type for every try, so we can multiply this probability (or expected frequency) by the number of trials and we get the expected number of events described.
Answer: 167
Step-by-step explanation: To find the 76th term of this arithmetic sequence, we will be using our explicit formula which is shown below.
Since we want to determine the 76th term, we are going
to substitute 76 in for <em>n</em> in our explicit formula.
Then, will be our first term in our sequence which is 17.
Lastly, <em>d</em> is our common difference or the difference between each of the terms in our arithmetic sequence which is 2.
So we have .
Now we have all the information we need. Just simplify from here.
Make sure to apply order of operations because this is where many
students make mistakes. Inside the parentheses first!
(76 - 1) is going to be 75.
So we have .
Then, we have to make sure we multiply before we add.
So (75)(2) is going to give us 150.
So we have .
Now just add to find that .
So the 76th term is 167.