Answer – True
To begin an indirect proof, you assume the inverse of what you intend to prove is true. An indirect proof takes the conclusion from a hypothesis and assumes that the inverse is true until a contradiction is reached, thus showing that if the inverse is true there would be a contradiction. In other words, indirect proof demonstrates that something else apart from the given statement (usually algebraic or geometric) would not make sense.
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.
Sin Q = oppo. / hypo
sin Q = 9/15
sin Q = 0.6
Answer:
Step-by-step explanation:
<u>TRUE</u>
All isosceles triangles have at least 2 acute angles due to 2 sides are equal.
The exterior angle of an equilateral triangle is obtuse.
If the perimeter of an equilateral triangle is P, then the length of each of the sides is P/3.
<u>FALSE</u>
All isosceles triangles are equilateral triangles.
If you know the length of one of the legs of an isosceles triangle, you can determine it’s the perimeter
Answer:
6 ounces
Step-by-step explanation:
this one is mainly elimination. 3.8 and 4.9 cant be because they're too close to the mean. and 7.1 is too far. you can also use z-score. the z score of .975 is 1.96 we can plug that into out formula so
1.96=(x-3.8)/1.1
multiply both sides by 1.1 and then add 3.8
you can also use scientific calculator.
second vars, 3, the area is your percent so .975, the u is mean so 3.8, the o is standard deviation so 1.1
