Answer:31) The Coca-Cola Company reported that the mean per capita annual sales of its beverages in the United Sates was 423 eight-ounce servings. Suppose you are curious whether the consumption of Coca-Cola beverages is higher in Atlanta. A sample of 36 individuals from the Atlanta area showed a sample mean annual consumption of 460.4 eight ounce servings with a standard deviation of s=101.9 ounces. Using a=.05, do the sample results support the conclusion that mean annual consumption of Coca-Cola beverage products is higher in Atlanta
Step-by-step explanation:29) The national mean annual salary for a school administrator is $90,000 a year. (The Cincinnati Enquirer, April 7, 2012) A school official took a sample of 25 school administrators in the state of Ohio to learn about salaries in that state to see if they differed from the national average.
a) Formulate hypotheses that can be used to determine whether the population mean annaual administrator salary in Ohio differs from the nation mean of $90,000.
b) The sample data for 25 Ohio administrators is contained in the file named Administrator. What is the p-value for you hypothesis test in part (a)?
c) A a=.05 can your null hypothesis be rejected? What is your conclusion?
d) Repeat the preceding hypothesis test using the critical value approach.
Let x represent gallons of $19 paint
let y represent gallons of $3 paint
first you make your 2 equations
x+y=16, y=16-x
(19x+3y) ÷ 16 = 14
then you use substitution
14 = (19x + 3(16-x) ) ÷16
224 = 19x + 48 - 3x
176 = 16x
11 = x, so there's 11 gallons of $19 paint
recall that x+y=16
11+y=16
5=y
so there are 11 gallons of $19 paint and 5 gallons of $3 paint
Option A
The restaurant Manager can afford at most 10 employees for the day
<em><u>Solution:</u></em>
Given that restaurant manager can spend at most $600 a day for operating costs and payroll
It costs $100 each day to operate the bank and $50 dollars a day for each employee
The given inequality is:
Where , "x" is the number of employees per day
Let us solve the inequality for "x"
Add -100 on both sides of inequality
Divide by 50 on both sides of inequality
Hence the restaurant Manager can afford at most 10 employees for the day
Thus option A is correct
The normal vectors to the two planes are (3, 3, 2) and (2, -3, 2). The cross product of these will be the direction vector of the line of intersection, (12, -2, -15).
Using x=0, we can find a point on this line by solving the simultaneous equations that remain:
... 3y +2z = -2
... -3y +2z = 2
Adding these, we get
... 4z = 0
... z = 0
so the point we're looking for is (x, y, z) = (0, -2/3, 0). This gives rise to the parametric equations ...
- x = 12t
- y = -2/3 -2t
- z = -15t
By letting t=2/3, we can find a point on the line that has integer coefficients. That will be (x, y, z) = (8, -2, -10).
Then our parametric equations can be written as
- x = 8 +12t
- y = -2 -2t
- z = -10 -15t
