1. Check the tree diagram in the picture attached.
2. The blue segment represents "on time"
The red segment represents "not on time"
3. blue - blue - red represents the case 1st on time, 2nd on time, 3rd not on time.
the combined probability is 90/100*90/100*10/100=9/10*9/10*1/10=99/1000=0.099
4. Remark with a tree diagram we can tell anything asked about the probability of an experiment.
Answer:
x = 1
Step-by-step explanation:
2x + 5 = 10 - 3x
2x + 3x = 10 - 5
5x = 5
x = 1
Find the total number of dogs by adding each day:
Total dogs = 23
Percent of dogs: Divide the number of dogs by the total number of patients:
= 23 / 50 = 0.46 x 100 = 46%
Use the given formula to find the standard error:
Standard error = √(0.46*(1-0.46)/50) = 0.07
90%: Find Z value for 90% ( 1.645) multiply by SE:
1.645 x 0.07 = 0.115 = 0.12
Now add and subtract that value from the Percent from above:
46 + 12 = 58%
46-12 = 34%
Answer (34%, 58%)
95%: Find Z value for 95% ( 1.96) multiply by SE:
1.96 x 0.07 = 0.137 = 0.14
Now add and subtract that value from the Percent from above:
46 + 14 = 60%
46-14 = 32%
Answer (32%, 60%)
Adjacent angles are angles with a common side and vertex, linear pairs are adjacent angles that are supplementary, and vertical angles are angles made by the same two lines but on opposite sides.
For the first one, 5 and 6 clearly do not share a side but they are made up by the same 2 lines and are opposite of each other, making them vertical.
For the next one, since the angles only share 1 line (and not a side) they can't be any of the above.
The mode for this set of numbers is 18 because there are three 18's in the set of number, and only two 20's. :D
