A TV that usually sells for $178.09 is on sale for 30% off. If sales tax on the TV is 5%, what is the price of the TV, including
2 answers:
Your answer is $130.90
Note: We multiply by 70/100 because of the 30% discount. 100 - 30 = 70. So we have to multiply by 70%.
Also, we multiply by 105/100 because there is 5% tax. The tax means that we have to pay more which means 100 + 5 = 105.
Hope this helped :D
Since the TV is on sale for 30%, we can either multiply 178.09 by 30% and then subtract that from 178.09, or we can just multiply 178.09 by 70%. The latter is an easier process.
The sales tax is 5%. We can either multiply by 5% and then add this to the total cost, or we can just easily multiply by 105% to make our calculations simpler.
The sales tax is 5%. We can either multiply by 5% and then add this to the total cost, or we can just easily multiply by 105% to make our calculations simpler.
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Answer:
The relationship between the number of cups of water and sugar in the recipe is w = ¹/₃(s)
Step-by-step explanation:
Given;
number of cups of sugar = s
number of cups of water = w
The relationship between the number of cups of water and sugar in this recipe is given as;
½ cup of sugar is proportional to 1 ½ cups of water
Therefore, the relationship between the number of cups of water and sugar in the recipe is w = ¹/₃(s)
Answer:
The 95% confidence interval for the difference between the proportion of all U.S. teens and adults who use social networking sites is (0.223, 0.297). This means that we are 95% sure that the true difference of the proportion is in this interval, between 0.223 and 0.297.
Step-by-step explanation:
Before building the confidence interval we need to understand the central limit theorem and the subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean and standard deviation
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Sample of 800 teens. 73% said that they use social networking sites.
This means that:
Sample of 2253 adults. 47% said that they use social networking sites.
This means that:
Distribution of the difference:
Confidence interval:
Is given by:
In which
z is the zscore that has a pvalue of .
95% confidence level
So , z is the value of Z that has a pvalue of
, so
.
Lower bound:
Upper bound:
The 95% confidence interval for the difference between the proportion of all U.S. teens and adults who use social networking sites is (0.223, 0.297). This means that we are 95% sure that the true difference of the proportion is in this interval, between 0.223 and 0.297.