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Pavel [41]
3 years ago
13

The sales tax in one state is 6 percent, Write a function rule for finding the total cost for an item with selling price x, then

find the selling cost of a cd player with the selling price of $160
f(x) =
Mathematics
1 answer:
Debora [2.8K]3 years ago
3 0
Sales tax = 6% or 6/100. 
assuming tax is added onto the item:
total cost function f(x) = price + tax
however, assuming the cost price = sales price  - tax,  then:
f(x) = sales price - tax 
This is not really a business or accounting forum, its a maths forum, so you need to be clearer about business or accounting terms such as total cost, selling price, selling cost.
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The mean annual premium for automobile insurance in the United States is $1503 (Insure website, March 6, 2014). Being from Penns
romanna [79]

Answer:

If we compare the p value and the significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean annual premium in Pennsylvania is significantly lower than the national mean annual premium of 1503 at 5% of significance.

Step-by-step explanation:

1) Data given and notation  

\bar X=1440 represent the mean annual premium value for the sample  

s=165 represent the sample standard deviation for the sample  

n=25 sample size  

\mu_o =1503 represent the value that we want to test

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean annual premium in Pennsylvania is lower than the national mean annual premium, the system of hypothesis would be:  

Null hypothesis:\mu \geq 1503  

Alternative hypothesis:\mu < 1503  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{1440-1503}{\frac{165}{\sqrt{25}}}=-1.909    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=25-1=24  

Since is a one side left tailed test the p value would be:  

p_v =P(t_{(24)}  

Conclusion  

If we compare the p value and the significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean annual premium in Pennsylvania is significantly lower than the national mean annual premium of 1503 at 5% of significance.  

7 0
3 years ago
A snowboard originally costs $120, but it is on sale for 45% off. If a customer buying the snowboard has a coupon for $15.00 off
kotykmax [81]
51 dollars hope that helps
7 0
3 years ago
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$
evablogger [386]

Answer:Number Example Natural number are those number which we can count.It denoted by N

Step-by-step explanation:

4 0
3 years ago
Idk what this problem is
MaRussiya [10]
7 multiplied by 1/4.
3 0
3 years ago
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BrainiestI WILL GIVE BRAINLIEST look at the right angled triangle abc
marissa [1.9K]

Answer:

x = 90°

y = 40°

z = 40°

Explanation (Concepts) :

A straight line has total 180° angle. A square has 4 sides of each 90° angle. A triangle is build up of 180° interior angle.

Workouts:

z + 90° + 50° = 180°

z = 180° - 90° - 50°

z = 40°

=================

x + 90° = 180°

x = 180° - 90°

x = 90°

==================

50° + 90° + y = 180°

y = 180° - 90° - 50°

y = 40°

5 0
2 years ago
Read 2 more answers
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