Answer:
554 executives should be surveyed.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Z-table as such z has a p-value of 
.
That is z with a pvalue of 
, so Z = 1.96.
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
Standard deviation of 3 hours.
This means that 
The 95% level of confidence is to be used. How many executives should be surveyed?
n executives should be surveyed, and n is found with 
. So
Rounding up:
554 executives should be surveyed.
Answer:
Acute
Obtuse
Right
Acute
Step-by-step explanation:
To see if a triangle is acute, right, or obtuse, you use something similar to the pythagorean theorem:
Let a and b be the shorter sides, c be the longest side.
If a^2+b^2 > c^2, then the triangle is acute.
If a^2+b^2 = c^2, then the triangle is right.
If a^2+b^2 < c^2, then the triangle is obtuse.
Answer:
1) True 2) False
Step-by-step explanation:
1) Given 
To verify that the above equality is true or false:
Now find 
Expanding the summation we get
Now find 
Expanding the summation we get
Comparing the two series we get,
so the given equality is true.
2) Given 
Verify the above equality is true or false
Now find 
Expanding the summation we get
now find 
Expanding the summation we get
Comparing the series we get that the given equality is false.
ie, 
Answer:
f⁻¹(x) = 8x - 1
Step-by-step explanation:
Swap the positions of y (f(x)) and x and solve for y.
