Answer:
b. We are 95% confident that the proportion of coworkers who went on a vacation last year away from home for at least a week is between 50% and 66%.
Step-by-step explanation:
A confidence interval at the level of x% for a proportion being between a and b means that we are x% sure that the true proportion of the population is between a and b.
In this problem, we have that:
95% C.I is (0.5, 0.66)
Interpretation: 95% confident that the true proportion is between 0.5 and 0.66.
The correct answer is:
b. We are 95% confident that the proportion of coworkers who went on a vacation last year away from home for at least a week is between 50% and 66%.
80 because 160 divided by 2 is 80 so 2 x 80
Answer: x can equal -3.2 or -7.4.
Step-by-step explanation:
The correct expression is:
2|x+5.3|=4.2
So, we have an absolute value equation, where it can be positive or negative:
2 (x+5.3)=4.2
2x+10.6 =4.2
2x=4.2-10.6
2x = -6.4
x= -6.4/2
x = -3.2
2[-(x+5.3)]=4.2
-2x-10.6 =4.2
-2x= 4.2+10.6
-2x= 14.8
x= 14.8/-2
x= -7.4
x can equal -3.2 or -7.4.
Feel free to ask for more if needed or if you did not understand something.
Answer: 
Step-by-step explanation:
1. Let's write the following formula for calculate the area of a rectangle:
Where 
is the lenght (the longer side) and 
is the width (the shorter side).
2. You know that the length is 2.5 times as long as the other side, which indicates a multiplication. Then:
3. So, you must substitute into the equation for calculate the area of the rectangle and then you must simplify.
4. Then, you obtain the following expression:
2. f(x) = x - 2x² - 5 + 10x
=-2x² + 8x - 5
f'(x)= -4x + 8
4. y = 100(45x - 30 - 3x³ + 2x²)
= 100(-3x³ + 2x² + 45x -30)
= -300x³ + 200x² + 4500x - 3000
y' = -900x² + 400x + 4500
