In circle O, central angle AOB has a measure of 90°. Which of the following is not true? segment OA is a radius segments OA and
OB are perpendicular arc AB is a semicircle
2 answers:
Answer:
Arc AB is a semicircle, Not true.
Step-by-step explanation:
In circle O, central angle AOB has measure of 90°
We need to choose statement which is not true. We can see the attachment to shape of circle.
As we can see O is the center of circle. A and B are two points on circle.
So, OA and OB must be radius of this circle.
1) Segment OA is a radius ( TRUE )
2) Segment OA and OB are perpendicular (TRUE)
Because central angle makes 90°
3) arc AB is a semicircle (FALSE)
Because AOB is not 180°
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Answer:
(a) The probability is 0.4696
(b) The probability is 0.5304
(c) The probability is 0.0929
Step-by-step explanation:
The total number of ways in which we can select k elements from a group n elements is calculate as:
So, the number of ways in which we can select four students from a group of 19 students is:
On the other hand, the number of ways in which we can select four students with no math majors is:
Because, we are going to select 4 students form the 16 students that aren't math majors and select 0 students from the 3 students that are majors.
At the same way, the number of ways in which we can select four students with one, two and three math majors are 1680, 360 and 16 respectively, and they are calculated as:
Then, the probability that the group has no math majors is:
The probability that the group has at least one math major is:
The probability that the group has exactly two math majors is: