A.) the discount is $9
B.) the new price is $21
Work:
30% is turned to .30
so, $30 x .30 is $9.
that’s how much is taken off.
Answer:
1. 
2. 
Step-by-step explanation:
Given
Variation: inverse Proportion
y = 7, x = 9
Required
- Write an equation connecting y and x
- Find y when x = 21
Given that thee variation is inversely proportional;
This implies that

Convert variation to equation
----------- Equation 1
Where k is the constant of variation
Substitute 7 for y and 9 for x in equation 1

Multiply both sides by 9


Substitute 63 for k in equation 1

Multiply both sides by x


Hence, the equation connecting x and y is 
Solving for when x = 21
Substitute 21 for x in the above equation

Divide both sides by 21


Answer:
1. 8 quarts of blue
2. 12 quarts of yellow
3. 10 pints of red
4. 24 pints of yellow
5. 16 quarts of light blue
6. 9 quarts of red
Answer:
a. 1.44
Step-by-step explanation:
We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 40%.
At the null hypothesis, it is tested if the proportion is of at most 40%, that is:

At the alternative hypothesis, it is tested if the proportion is of more than 40%, that is:

The test statistic is:
In which X is the sample mean,
is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
0.4 is tested at the null hypothesis:
This means that 
A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A.
This means that:

Value of the test statistic:



Thus the correct answer is given by option a.
Cool! So OK I'll take you through it.
You just need to take everything 1 step at a time, as you might already know.
First
3 to the second is 9
Second
The first part included like this 9*(3 to the third) which is 243
Third
The second part is included into the question like 243*(3 to the fourth) which is 243*81
Fourth
243*81 = 19,683
Your Answer
(3^2)*(3^3)*3^4) = 19,693
Hope That Helps and Correct Me If I'm Wrong!