Answer:
X=4
Step-by-step explanation:
First you add like terms, in this case 5x and x. Then you have 6x-1=23. You then add 1 from both sides so you end up with 6x=24. This then results in X=4
So if Angela entered the same restaurant 4 times, we have 4 "instances" of her entering the restaurant.
Each instance, she ordered a salad. The price of this salad is unknown, so we'll say the price is "S".
Each instance, she payed a $5 tip.
So we have 4 instances of spending S, and 4 instances of spending 5.
We know this totals 54.
Knowing all of this information, we can write our equation like this:
4(S + 5) = 54
Divide
S + 5 = 13.50
Subtract
S = 8.50
The cost of salad is $8.50
1/4 is 25 percent so it is still 40.00
Answer:
a. With 90% confidence the proportion of all Americans who favor the new Green initiative is between 0.6290 and 0.6948.
b. If the sample size is changed, the confidence interval changes as the standard error depends on sample size.
About 90% percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about 10% percent will not contain the true population proportion.
Step-by-step explanation:
We have to calculate a 90% confidence interval for the proportion.
The sample proportion is p=0.6619.
The standard error of the proportion is:
The critical z-value for a 90% confidence interval is z=1.6449.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 90% confidence interval for the population proportion is (0.6290, 0.6948).