Question 1:
During an experiment, some water was removed from each of 6 water tanks. If the standard deviation of the volumes of water in the tanks at the beginning of the experiment was 10 gallons, what was the standard deviation of the volumes of water in the tanks at the end of the experiemnt?
(1) For each tank, 30% of the volume of the water that was in the tank at the beginning of the experiment was removed during the experiment.
(2) The average (arithmetic mean) volume of the water in the tanks at the end of the experiment was 63 gallons.
Answer? - I think the answer for this questions is (A) because if 30% of the volume of the water was removed from each tank then the std. deviation would also change by 30%? Correct? Please advise?
Question 2:
In the xy-plane, at what two points does the graph of y=(x+a)(x+b) intersect the x-axis?
(1) a+b = -1
(2) The graph intersects the y-axis at (0,-6).
I couldn't figure this one out. Any thoughts?
Question 3:
At least 100 students at a certain high school study Japanese? If 4 percent of the students at the school who study French also study Japanese, do more students at the school study French than Japanese?
(1) 16 students at the school study both French and Japanese.
(2) 10% of the students at the school who study Japanese also study French.
Answer - Please help. Any thoughts?
During an experiment, some water was removed from each of 6 water tanks. If the standard deviation of the volumes of water in the tanks at the beginning of the experiment was 10 gallons, what was the standard deviation of the volumes of water in the tanks at the end of the experiemnt?
(1) For each tank, 30% of the volume of the water that was in the tank at the beginning of the experiment was removed during the experiment.
(2) The average (arithmetic mean) volume of the water in the tanks at the end of the experiment was 63 gallons.
Answer? - I think the answer for this questions is (A) because if 30% of the volume of the water was removed from each tank then the std. deviation would also change by 30%? Correct? Please advise?
Question 2:
In the xy-plane, at what two points does the graph of y=(x+a)(x+b) intersect the x-axis?
(1) a+b = -1
(2) The graph intersects the y-axis at (0,-6).
I couldn't figure this one out. Any thoughts?
Question 3:
At least 100 students at a certain high school study Japanese? If 4 percent of the students at the school who study French also study Japanese, do more students at the school study French than Japanese?
(1) 16 students at the school study both French and Japanese.
(2) 10% of the students at the school who study Japanese also study French.
Answer - Please help. Any thoughts?
