Answer: There are 4 possibilities. They are all listed below with their percents.
You can create a tree diagram to shows all of the possibilities. It will start with 2 branches and then each of those branches will have 2 branches.
The possibilities are: UU, UD, DU, DD
To find the probabilities of each, you have to multiply the percent for each together.
UU = 0.66 x 0.66 = 0.4356
UD = 0.66 x 0.34 = 0.2244
DU = 0.34 x 0.66 = 0.2244
DD = 0.34 x 0.34 = 0.1156
Answer:
Step-by-step explanation:
No of students study math = 3/5 of 50 = 30
No of students study English = 3/10 of 50 = 15
Total = 30 + 15 = 45
Remaining students = 5
No of students study geography = 5
Fraction of geography to whole class = 5/45 = 9
Answer:
- not possible: 1, 2, 4, 5, 8, 11
- possible: all others
Step-by-step explanation:
Obviously, all multiples of 3 and 7 can be paid.
1 cent can be added by adding a 7-cent stamp and taking away two 3-cent stamps. 2 cents can be added by adding three 3-cent stamps and taking away one 7-cent stamp. Hence any value more than 7 +2(3) = 13 cents can always be accommodated.
Amounts that are impossible:
1, 2, 4, 5, 8, 11 cents
All other positive integer amounts are possible.
Answer:
Part a) The measure of the sides of triangle DEF are
Part b) Is a scalene triangle
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
we have the coordinates
D(8,-6) E(-1,-3) F(-2,5)
step 1
Find the length side DE
D(8,-6) E(-1,-3)
substitute in the formula
step 2
Find the length side EF
E(-1,-3) F(-2,5)
substitute in the formula
step 3
Find the length side DF
D(8,-6) F(-2,5)
substitute in the formula
step 4
Classify the triangle by the measure of its sides
we have
so
Is a scalene triangle, because is a triangle in which all three sides have different lengths.
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