Answer:
Are the events A and B disjoint? Yes
Step-by-step explanation:
Disjoint events are those events that cannot occur at the same time, i.e. for events <em>X</em> and <em>Y</em> to be disjoint,
.
The event <em>A</em> is defined as the number of students whose age is at most 32.
And event <em>B</em> is defined as the number of students whose age is at least 37.
The events <em>A</em> and <em>B</em> are disjoint events.
- The sample space for event <em>A</em> consists of all the students of age group (under 21), (21 - 24), (25 - 28) and (29 - 32).
- Whereas the sample space for event <em>B</em> consists of all the students of age group (33 - 36), (37 - 40) and (Over 40).
The sample space for the intersection of these two events is:
Sample space of (<em>A</em> ∩ <em>B</em>) = 0
As there are no common terms in both the sample.
Hence proved, events <em>A </em> and <em>B</em> are disjoint.
1260. You do 1200*.05= 60. Then 1200+60=1260
Answer:
A complementary angle is an angle that adds up to 90 degrees. supplementary angles add up to 180 degrees. So a supplementary angle lies on a single, straight line, and a complementary angle is a right angle.
Step-by-step explanation:
The taxes are figured as follows: 0.089(value of car)
Here the taxes are 0.089(value of car) = $1100.
Divide both sides of this equation by 0.089 to determine the value of the car.
value of car = $12359.55, or approx $12360.
Step-by-step explanation:
<h3>
Need to FinD :</h3>
- We have to find the measures of other two angles of triangle.

We know that,
- The other two angles of triangle are in the ratio of 3 : 14. So, let us consider the other two angles of the triangle be 3x and 14x.
Angle sum property,
- The angle sum property of triangle states that the sum of interior angles of triangle is 180°. By using this property, we'll find the other two angles of the triangle.


∴ Hence, the value of x is 10°. Now, let us find out the other two angles of the triangle.

Second AnglE :
∴ Hence, the measure of the second angle of triangle is 30°. Now, let us find out the third angle of triangle.

Third AnglE :
∴ Hence, the measure of the third angle of the triangle is 140°.