Answer:
Any multiple of 71 (i.e. 71, 142, 710, etc)
Step-by-step explanation:
Republicans = R
Democrats = D
Republicans that liked apple pie = 0.80R
Democrats liked eclairs = 0.55D
Republicans who liked apple pie that also liked eclairs = (0.80*0.20)R
If the number of Republicans who liked both desserts is equal to the number of Democrats who liked eclairs, then the following must be true:
Since the number of Republicans and Democrats must be integers, the least number of members possible is 71 (55+16).
Any value that is a multiple of 71 is a possible value for the number of members of the group
We need to find the Lowest Common Denominator = LCD lowest is 100
10 x 10, 20, 30, 40, 50, 60, 70, 80, 90, 100
100 x 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000. which is the lowest and common? 100
7/10 /100 how many times can 10 go into 100? 10 times. so we will multiply 10 time the numerator which is 7, and now will be 70/100
6/100 /100 how many times can 100 go into 100? 1 time. so we will multiply 1 time the numerator 6 which equals 6. 6/100
now add the new fractions. 70/100 + 6/100 = 76/100
To do a two-column proof, you must know the definitions of the terms that are being used. Also, you must know the postulates and theorems you have learned so far. You look at the given information, and using the definitions, postulates, and theorems, you reason in your mind how to go from the given to the conclusion, step by step. You write each step and the accompanying reason that allows you to conclude each step.
Answer:
11 students out of 902 responded above 35
Step-by-step explanation:
Using z-score we can find what percentage of student will be above 35. Using this percentage we can calculate how many students out of 902 scored above 35.
Mean = u = 26
Standard deviation = s = 4
Target Value = x = 35
Formula for the z score is:
Using the values in this formula, we get:
Using the z table we can find the percentage of values that would be 2.25 standard deviations above the mean in a normal distribution. Using the z-table we get this value to be 0.0122 or 1.22%
Thus 1.22% of the values will be above 35.
1.22% of 902 is 11 (rounded to nearest whole number)
Thus 11 students out of 902 responded above 35
R = ((3V)/((pi)(h^2))+h)/3
