Answer:
And using a calculator, excel or the normal standard table we have that:
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".
Solution to the problem
Let X the random variable that represent the weigths of a population, and for this case we know the distribution for X is given by:
Where
and
Since the distribution for X is normal then we know that the distribution for the sample mean
is given by:
We can find the probability required with the following z score formula:

And replacing we got:
And using a calculator, excel or the normal standard table we have that:
Answer:
A. 56.78 B. 389.22
Step-by-step explanation:
A.Social security: 498x.062=30.88
medicare: 498x.0145=7.22
state tax: 498x.025=12.45
local tax: 498x.0125=6.23
total of above = 56.78
B. Total taxes above (56.78) + federal withheld (52) = total taxes 108.78
total pay 498 - total taxes 108.78 = 389.22
X=2
Answer:
Both cards would have equal value when both have purchased 2 Pizzas each
Step-by-step explanation:
since the number of pizzas purchased is X
70-(20*X) =X*15
-20X-15X=-70
-35X = -70
X =2
The original price was $142.50. What I did was that I added 40% with $101.79 which was the sales price. With the 40% the person saved $40.71.
Hope this helps : )*****
You would have $115 for those 23 weeks you’ve saved!