Answer:
The right answer is:
a.H0: μd = 0; H1: μd > 0
Step-by-step explanation:
The claim that want to be tested is that the sales were significantly increased after the commercial, indicanting that the advertisement campaign was effective.
This claim is usually expressed in the alternative hypothesis as it has to have enough evidence to prove that it is true.
Then, the alternative hypothesis H1 should state that the difference (sales after - sales before) is higher than 0.
The null hypothesis would state that the difference is not significantly different from 0, or, in other words, that the sales are the same before and after and that the variation is due to pure chance.
Then, the null hypothesis H0 would state that the difference is equal to 0.
The right answer is:
a.H0: μd = 0; H1: μd > 0
Answer:
13.99p + 4.49s ≤ 80
Step-by-step explanation:
Pizza is p and soda is s. If he has only $80 to spend on a combination of both, he cannot obviously spend more than that. Therefore, the inequality sign is "less than or equal to". He can spend 80, but he can also spend less than 80. He cannot spend anything over that, since he doesn't have it to spend!
If pizzas are represented by p, and we know the cost of each one is 13.99, we represent one pizza as 13.99p; if the cost of sida is 4.49 per case, we represent one case as 4.49s.
The sum of these cannot exceed 80, so the inequality, then, is:
13.99p + 4.49s ≤ 80
So it wants you to write two equations, one for the number of fruit and another for the money spent. gather your important information first:
20 fruits for $11.50
apples cost $0.50
bananas cost $0.75
let's do the cost equation first. it's $0.50 per apple, so 0.50a, and $0.75 per banana, so 0.75b. the total cost is $11.50. put all of this information together:
0.50a + 0.75b = 11.50 ... so, the cost of apples bought plus the cost of bananas bought equals 11.50
note what your variables stand for. a represents the number of apples, b represents the number of bananas. to write an equation for how many fruits bought, you simply have to add these two and set them equal to 20 (the total number of fruits bought).
a + b = 20
and your other equation
0.50a + 0.75b = 11.50
these are your two equations. to solve the system of equations, you first want to get one variable alone; the first equation will be easier.
a + b = 20
a = 20 - b
now take this equation and plug it into the second equation.
0.50(20 - b) + 0.75b = 11.50 ... you'll notice that you only have one variable left: b. solve for it. the first step is to distribute 0.50 to the parentheses
10 - 0.50b + 0.75b = 11.50 ... combine like terms
10 + 0.25b = 11.50 ... subtract 10
0.25b = 1.5 ... divide by 0.25
b = 6
6 bananas were purchased. plug this back into an equation to find out how many apples were purchased.
a + 6 = 20 ... subtract 6
a = 14
14 apples and 6 bananas were bought.
Answer:
Distributive property
Step-by-step explanation:
3(2 − 3x) + 4x = x − 7
Distribute the 3 to each term in the parentheses using the distributive property
6 -9c +4x = x-7
