The total amount paid for vase is $ 41
<em><u>Solution:</u></em>
Given that
Cost of vase = $ 34.99
Shipping charge = 3 dollars
Sales tax = 8.25 % was paid on the subtotal which included the shipping charge
To find: total amount paid for vase
total amount paid for vase = Cost of vase + Shipping charge + sales tax
Let us first find the sales tax
Given that 8.25 % was paid on the subtotal which included the shipping charge
Subtotal = 34.99 + 3 = 37.99
So 8.25 % of 37.99 was paid as sales tax
Therefore sales tax amount paid = $ 3.1341
total amount paid for vase = Cost of vase + Shipping charge + sales tax
total amount paid for vase = 34.99 + 3 + 3.1341 = 41.1241 ≈ 41
Therefore total amount paid for vase is $ 41
Answer: The percent higher is 41.68%. If 49 planes were selected, 20 of them should be above 15 years.
To find the percent, we first need the z-score.
(15 - 13.5) / 7.3 = 0.21
Now, use a normal distribution table to find the percent above a score of 0.21. It will be 41.68%.
To find the number of 49 planes above this value, multiply 49 by 0.4168. You will have about 20.4 planes.
Answer:
Unit fraction
Step-by-step explanation:
A unit fraction means 1 unit is the value of the numerator. This means 1 is in the numerator.
Answer:
a) 
b) 
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Part a
Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:
Where 
and 
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability like this:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.
Part b
For this case we select a sample size of n =32. Since the distribution for X is normal then the distribution for the sample mean 
is given by:
And the new z score would be:
Clue one tells you it ends in a 4 or 9.
Clue two tells you it has to be 9.
Clue three tells you x + 9 = 10
The number is 19
