Answer:
Below in bold.
Step-by-step explanation:
3x + y = -1
2x + y=0
Subtract to eliminate y:
3x - 2x + y - y = -1 - 0
x = -1
So, substituting for x in the first equation;
3(-1) + y = -1
y - 3 = -1
y = 2.
The solution is the ordered pair (-1, 2).
The system is a pair of straight lines which intersect at the point (-1, 2).
Answer:
50.24 km
Step-by-step explanation:
first multiply 8 by 2 to get 16 km and lastly multiply by pi (3.14) to get 50.24 km
Answer:
The correct option is d
Step-by-step explanation:
From the question we are told that
The population size is
The sample size is
The sample mean is
The standard deviation is
Given that the confidence level is 95% then the level of significance can be calculated as
Next we obtain the critical value of from z-table , the value is
The reason we are obtaining critical value of
instead of is because
represents the area under the normal curve where the confidence level interval (
) did not cover which include both the left and right tail while
is just the area of one tail which what we required to calculate the margin of error
.
NOTE: We can also obtain the value using critical value calculator (math dot armstrong dot edu)
Generally the margin of error is mathematically represented as
substituting values
The 95% confidence level interval is mathematically represented as
substituting values
Well 16/16 cancels out so then if you use the divsion proper then you divide on the other side too, so 164/16 is 10.25. THE answer is 10.25