Answer:
The value of the missing angle, x° is 115°
Step-by-step explanation:
The sum of the interior angles in a polygon is given by the formula (n - 2)×180, where, 'n', is the number of sides in the polygon
The number of sides in the given polygon, n = 10 sides
Therefore;
The sum of the interior angles in the polygon is (10 - 2)×180 = 1440°
The given angles of the polygon are;
107°, 126°, 325°, 125°, 95°, x°, 90°, 280°, 47°, and 130°
Therefore, we have;
107° + 126° + 325° + 125° + 95° + x° + 90° + 280° + 47° + 130° = 1440°
x° = 1440° - (107° + 126° + 325° + 125° + 95° + 90° + 280° + 47° + 130°) = 115°
The value of the missing angle, x° = 115°.
Answer:
591
Step-by-step explanation:
Answer: Probability that students who did not attend the class on Fridays given that they passed the course is 0.043.
Step-by-step explanation:
Since we have given that
Probability that students attend class on Fridays = 70% = 0.7
Probability that who went to class on Fridays would pass the course = 95% = 0.95
Probability that who did not go to class on Fridays would passed the course = 10% = 0.10
Let A be the event students passed the course.
Let E be the event that students attend the class on Fridays.
Let F be the event that students who did not attend the class on Fridays.
Here, P(E) = 0.70 and P(F) = 1-0.70 = 0.30
P(A|E) = 0.95, P(A|F) = 0.10
We need to find the probability that they did not attend on Fridays.
We would use "Bayes theorem":

Hence, probability that students who did not attend the class on Fridays given that they passed the course is 0.043.
Answer:
V = πr²h
To determine the volume of a cylinder you have to multiply the area of the base by the height of the cylinder.
Step-by-step explanation:
The base of a cylinder is a circle. So we must find the area of the circle first. (Which is πr²)
Then we multiply the height by the area of the circle.
V = π·r²·h
This can be used in different ways as well,
if we don't know the radius but know everything else we could use the formula:
(r = √(V/πh))
If we don't know the height we use this formula:
(h = V/(πr²))