In MNP, what is sin M?
2 answers:
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Answer: 14 miles
Step-by-step explanation:
In the attached figure we can see the two segments the man drove, where the is the distance of a road that goes from the man's home directly to his work.
It should be noted that is also the hypotenuse of the righ triangle formed. Hence, we can use the Pithagorean theorem to find this distance:
Then:
There are infinitely many solutions for x, y and z.
By elimination, we have
(2x + 3y + 4z) - 2 (x + y + z) = 100 - 2•30
⇒ y + 2z = 40
and
(2x + 3y + 4z) - 3 (x + y + z) = 100 - 3•30
⇒ -x + z = 10
If we let z = t for some real number t, then
y + 2z = 40 ⇒ y = 40 - 2t
-x + z = 10 ⇒ x = t - 10
so any solution to the system is a point belonging to the set
Let x be a discrete binomial random variable that measures the number of successes in n trials.
Let p = 0.4 be the probability of success, that is, the probability that a deer has the aforementioned type of tick.
So the probability that 124 deer or less have this type of tick is calculated using the probability formula for a binomial distribution.
P (X <= x) = sum from x = 0 to x = 124 of (300! / ((X! * (300-x)!)) * (P ^ x) * (1-p) ^ n-x.
Finally the probability is 0.7030
Below is an image with the formula used and the result
Let p = 0.4 be the probability of success, that is, the probability that a deer has the aforementioned type of tick.
So the probability that 124 deer or less have this type of tick is calculated using the probability formula for a binomial distribution.
P (X <= x) = sum from x = 0 to x = 124 of (300! / ((X! * (300-x)!)) * (P ^ x) * (1-p) ^ n-x.
Finally the probability is 0.7030
Below is an image with the formula used and the result