Answer:
Ordering a soft drink is independent of ordering a square pizza.
Step-by-step explanation:
20% more customers order a soft drink than pizza, therefore they cannot be intertwined.
Given: P(A)=0.5 & P(B)=.7
P(A∩B) = P(A) × P(B)
= 0.5 × .7
= 0.35
P(A∪B) = P(A) + P(B) - P(A∩B)
= 0.5 + .7 - 0.35
= 0.85
P(AΔB) = P(A) + P(B) - 2P(A∩B)
= 0.5 + .7 - 2×0.35
= 0.5
P(A') = 1 - P(A)
= 1 - 0.5
= 0.5
P(B') = 1 - P(B)
= 1 - .7
= 0.3
P((A∪B)') = 1 - P(A∪B)
= 1 - 0.85
= 0.15
The answer is: 
The explanation is shown below:
1. Cynthia rounds the number, which is identified as 
, to one decimal place and the result is 6.3.
2. Based on this, we know that could have been between 6.25 and 6.35. Therefore, the error interval for is given by:
Where 
indicates that the value 6.25 is included and 
indicates that the value 6.35 is not included (Because if had been exactly 6.35, Cynthia would round up to 6.4).
The <em><u>correct answer</u></em> is:
Her variable expenses can be reduced.
Explanation:
In a household budget, you have fixed expenses and variable expenses.
Fixed expenses are expenses that are the same from month to month, such as a car payment, rent, power bill, etc. These cannot be reduced; if you were to pay less on your car payment, your car would be repossessed; paying less than you owe on the power bill can result in your power being disconnected; etc.
Variable expenses are expenses that are different from month to month, such as food, clothing, shopping, etc. If you are dealing with a situation where your wages are less than you anticipate, you can reduce items within your variable expenses to make sure you have enough money. For example, you can purchase fewer clothes that pay period or cut your grocery bill down.
Answer:
D. We can be 95% confident that the proportion of all cell phone users who use text messaging is between 73.1% and 76.9%.
Step-by-step explanation:
The interpretation of a confidence interval of level x% means that we are x% sure that the interval contains the true mean of the population.
In this problem, we have that:
The population are all the cell phone users.
The 95% confidence interval is (73.1%, 76.9%).
Which of the following is an appropriate interpretation of the 95% confidence interval?
D. We can be 95% confident that the proportion of all cell phone users who use text messaging is between 73.1% and 76.9%.
