A glider flies 13 miles north from the airport and then 24 miles diagonally southeast. Approximately how far west does the glide
1 answer:
Answer:
20.2 miles
Step-by-step explanation:
This can be described by the three sides of a right angled triangle. Let the distance of the glider to the airport be represented by x, applying the Pythagoras theorem:
=
+
=
+
576 = + 169
= 576 - 169
= 407
x =
= 20.1742
x = 20.2 miles
The glider has to fly 20.2 miles to return to the airport.
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Thus
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Answer A
Using vectors and scalar product:
Thus
By the way how can we make text larger in latex \larger{.....} don't work.
Answer A
Answer:
Then the probability that 14 of the 19 voters will prefer Candidate A is approximately 0.1928 or 19.28%
Step-by-step explanation:
We can define X the random variable of interest "number of voters that will prefer Candidate A", since we have a sample size given and a probability of success we can use the binomial distribution to model the random variable. And on this case we can assume the following distribution:
The probability mass function for the Binomial distribution is given by:
Where (nCx) means combinatory and it's given by this formula:
For this problem we want to find this probability:
And usign the probability mass function defined before we got:
Then the probability that 14 of the 19 voters will prefer Candidate A is approximately 0.1928 or 19.28%