Answer:
See below
Step-by-step explanation:
If an expression is not dependent on x, it simplified form must not contain x. To show that this is the case for (a) and (b) we need to simplify them and assess:
(a)
Indeed, does not depend on x!
And (b)
Again, does not depend on x.
Answer: 252 i think i tried and i think its right
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
Answer:
Part 1)
Part 2)
Part 3)
Step-by-step explanation:
we know that
The <u><em>Midpoint Theorem</em></u> states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side
so
Part 1) Find the length of BC
Applying the Midpoint Theorem
we have
substitute the given value
solve for BC
Part 2) Find the length of DE
Applying the Midpoint Theorem
we have
substitute the given value
Part 3) Find the length of CE
we know that
----> by addition segment postulate
The point E is the midpoint segment BC
That means
so
we have
substitute
solve for CE