<h2>sum of angle of triangle is 180°</h2>
<h2>A+B+C = 180 </h2>
<h2>38°+75°+ X = 180°</h2>
<h2>113° + X = 180°</h2>
<h2>X = 180° -113</h2>
<h2>X = 67°</h2>
Answer:
The area of APC is 70m². The area of triangle PMC is 35m².
Step-by-step explanation:
Let the area of triangle ABC be x.
It is given that AM is median, it means AM divides the area of triangle in two equal parts.
.....(1)
The point P is the midpoint of AB, therefore the area of APC and BPC are equal.
......(2)
The point P is midpoint of AB therefore the line PM divide the area of triangle ABM in two equal parts. The area of triangle APM and BPM are equal.
.....(3)
The area of triangle APM is 35m².
Therefore the area of triangle ABC is 140m².
Using equation (2).
Therefore the area of triangle APC is 70m².
Using equation (3), we can say that the area of triangle BPM is 35m² and by using equation (2), we can say that the area of triangle BPC is 70m².
Therefore the area of triangle PMC is 35m².
Answer:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the complement rule:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:And we can find this probability using the complement rule:
Answer:
49% probability that a graduate is offered fewer than two jobs
Step-by-step explanation:
We have these following probabilities:
5% probabilities of not being offered a job
44% probability of receiving one job offer
28% probability of received two job offers.
23% probability of receiving three job offers.
Determine the following probabilities: A. P(A graduate is offered fewer than two jobs)
Zero or one
5 + 44 = 49%
49% probability that a graduate is offered fewer than two jobs
The answer is a square because it is a polygon and all sides are congruent and angles too