Answer:
Step-by-step explanation:
The sample space is shown in the attached photo.
Probability = number of favourable outcomes/total number of outcomes.
Looking at the diagram, the total possible outcomes is 36.
A) from the diagram, the total number of events in which the sum of the numbers is odd is 18. Therefore, the probability that the sum of the numbers is odd is
18/36 = 1/2
B) the total number of events in which the sum of the numbers is 10 or more is 6. Therefore, the probability that the sum of the numbers is 10 or more is
6/36 = 1/6
C) the total number of events in which 3 appears on each of the two dice is 1. Therefore, the probability that 3 appears on each of the two dice is
1/36
Answer:
so you have $12.95. then you multiply it by 8% which gives you $13.986. Then you take 10% off of it, which gives you $12.5874.
Answer:
392
Step-by-step explanation:
<span>Given: Right △ABC as shown where CD is an altitude of the triangle. We prove that
Because △ABC and △CBD both have a right angle, and the same angle B is
in both triangles, the triangles must be similar by AA.
Likewise, △ABC
and △ACD both have a right angle, and the same angle A is in both
triangles, so they also must be similar by AA.
The proportions
and
are
true because they are ratios of corresponding parts of similar
triangles.
The two proportions can be rewritten as
and
.
Adding
to both sides of first equation,
, results in the
equation
.
Because
and ce are equal, ce can be
substituted into the right side of the equation for
, resulting in the
equation
.
Applying the converse of the distributive
property results in the equation
.
The last sentence of the proof is
Because f + e = c,
.</span>
Answer:
3) No solution
4) No solution
Step-by-step explanation:
3) The equation simplifies to ...
5x +15 = 5x +3
15 = 3 . . . . . . . . . . subtract 5x; no value of x will make this true
There is no solution.
__
4) The equation simplifies to ...
4 = -5 . . . . . . . . . subtract y; no value of y will make this true
There is no solution.
