ANSWER:
As the given angles are in linear pair , so they must be supplementary.
4x + 6 + 4x + 6 = 180°
8x + 12 = 180°
8x = 180° - 12°
8x = 168°
x = 21°.
Answer:
Let X the random variable of interest "Number of correct anwers on the tet", on this case we now that:
And the expected value is given by:
![E(X) = np =10*0.25 = 2.5](https://tex.z-dn.net/?f=%20E%28X%29%20%3D%20np%20%3D10%2A0.25%20%3D%202.5)
Step-by-step explanation:
Previous concepts
A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Solution to the problem
Let X the random variable of interest "Number of correct anwers on the tet", on this case we now that:
And the expected value is given by:
![E(X) = np =10*0.25 = 2.5](https://tex.z-dn.net/?f=%20E%28X%29%20%3D%20np%20%3D10%2A0.25%20%3D%202.5)
Answer:
y - 31 = 7/3(x - 12)
Step-by-step explanation:
Point slope form is: y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point
Plug in the slope and the given point:
y - y1 = m(x - x1)
y - 31 = 7/3(x - 12)
So, the point-slope form of the line is y - 31 = 7/3(x - 12)
2 hr 15 min = 2
![\frac{1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20)
hours = 2.25 hours
"how far" means distance ... so distance = rate x time
distance = 56 x 2.25 =
126 miles
"how long" means time ... so using the same formula
168 = 56 x time
divide both sides of the equation by 56 to solve
3 hours = time