Answer:
The range of people who voted for other person = 7266 to 7872
Step-by-step explanation:
A phone survey has a margin error of +/– 4%. The range of number of people who will vote for the other candidate if 87 of 114 people said they would vote for the other person.
We get the percentage from this ,
Percentage = = 76.3 %
Border percentages = 72.3 and 80.3% (Since error = 4%)
We have already taken vote of 114 people so remaining = 9804
Lower end = 0.723 9804 = 7266
Upper end = 0.803 9804 = 7872
Hence the range = 7266 to 7872
Step-by-step explanation:
Divide two on both sides to get rid of it and the make the equation in the form y = mx + c
y = 3/2x + 5
since both lines are parallel they must have the same gradient which is 3/2
y = 3/2x + c
All you have to do now is to replace x and y with (2, -5) to find c
x = 2
y = -5
-5 = 3/2 × 2 + c
-5 = 3 + c
c = -5-3
c = -8
Answer:
The distance between X and Y is 68m
Step-by-step explanation:
Consider the diagram attached:
A person starts from X, goes to Y, and then finally goes to Z, covering a total of 100m, where Z is located 60m in north of X.
We have to find distance XY.
Let the distance XY be x
Total distance covered by the person = XY + YZ
We know that total distance covered is 100m, so
100m = x + YZ
YZ = (100 - x)m
See the diagram, XZY forms a right angled triangle such that:
Hypotenuse = XY = x
Base = XZ = 60m
Perpendicular = YZ = (100-x)m
Using Pythagoras theorem
Hypotenuse² = Base² + Perpendicular²
x² = (60)² + (100-x)²
Solve the equation for x, we get:
x = 68m
