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LekaFEV [45]
3 years ago
11

Sweatshirt with new school logo cost 22.50 ,plus tax the tax is over 0.06 for every dollar spend.what is the tax on the sweatshi

rt
Mathematics
1 answer:
coldgirl [10]3 years ago
6 0

Answer:

Step-by-step explanation:

To find tax on something you multiply the base price by the tax percentage.  So if something is 100 dollars and tax is 5 percent (or .05 in decimal form), you would add 5 dollars to the price.  because 100*.05=5.

If we assume 6% as the tax then we multiply 22.50*.06 = 1.35, so you will add 1.35 to the price.  That means the new price is 22.50 + 1.35 = 23.85.

It's just asking for what the tax is though so the answer is 1.35 at 6%.  The question does say the tax is over 6% though, so that means the tax will only go up from there if the tax is over 6%

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Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779

And the deviation would be:

Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54

Step-by-step explanation:

For this case we have the following distribution given:

X        0         1       2       3       4         5        6

P(X)  0.3   0.25   0.2   0.12   0.07   0.04   0.02

For this case we need to find first the expected value given by:

E(X) = \sum_{i=1}^n X_i P(X_I)

And replacing we got:

E(X)= 0*0.3 +1*0.25 +2*0.2 +3*0.12 +4*0.07+ 5*0.04 +6*0.02=1.61

Now we can find the second moment given by:

E(X^2) =\sum_{i=1}^n X^2_i P(X_i)

And replacing we got:

E(X^2)= 0^2*0.3 +1^2*0.25 +2^2*0.2 +3^2*0.12 +4^2*0.07+ 5^2*0.04 +6^2*0.02=4.97

And the variance would be given by:

Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779

And the deviation would be:

Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54

 

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