Answer:
D, the observed frequency of landing heads up gets closer to the expected frequency based on the probability of the coin landing heads up.
Step-by-step explanation:
As of now, the observed frequency states that the coin will land on heads 4/12 times. The expected frequency states that the coin will land on heads 50% of the time, or 6/12 times. As the number of trials increases, the observed frequency will get closer to the expected frequency.
Part 1
We want to find the tan of 88 degrees, 22' 45''.
88° 22' 45''
= 88 + 22/60 + 45/3600 degrees
= 88.3792°
From the calculator, obtain
tan(88.3792°) = 35.3409
Answer: 35.3409
Part 2
We want to find cot(36°).
By definition, cot(x) = 1/tan(x).
From the calculator, obtain
tan(36°) = 0.7265
Therefore
cot(36°) = 1/0.7265 = 1.3764
Answer: 1.3764
Answer: The correct answer is B; 10,240π in³
Step-by-step explanation: To calculate the volume of a cylinder, the given formular is
Volume = π r² h, where
radius (r) = 16
height (h) = 40
Pi (π) = 3.14
It is important to take note that in questions like these, the value of pi is usually given as 3.14 or 22/7. However, for this particular question, the answer should be expressed in terms of pi, (that is, the answer must include pi). For that reason we shall leave pi as it is, and we shall not use it's value when applying the formular.
Therefore, inserting the values of radius, height and pi into our formular, we now have;
Volume = π r² h
Volume = π x 16² x 40
Volume = π x 256 x 40
Volume = π x 10,240
Therefore the exact volume of the cylinder = 10,240π in³
Answer:
here's the steps
Step-by-step explanation:
first, you need to get x by itself.In order to do that you need to do the opposite to the other side. ex: x5= 1/10; what you would do is divide 1/10 by 5 to get x = 0.5 , 5/10
