A laptop has a listed price of 715.95 before tax. If the sale tax rat is 9.25%, find the cost of the laptop with the sales tax included. Round your answer to the nearest cent, as necessary.

The percentile scores for a distribution with a mean of 100 and a standard deviation of 15, the z-scores for 112 and 82 are 0.8 and -1.2, respectively.

Calculating Percentile Scores

To determine percentile scores for the values given in the original student question, we need to calculate the z-scores for 112 and 82 from a distribution with a mean of 100 and a standard deviation of 15.

To find the z-score, use the formula:

Z = (X - mu) / sigma

Where X is the raw score, \\mu is the mean, and \\sigma is the standard deviation.
For 112:

Z = (112 - 100) / 15

Z = 12 / 15

Z = 0.8
For 82:

Z = (82 - 100) / 15

Z = -18 / 15

Z = -1.2

Once the z-scores are calculated, we can look up the corresponding percentiles in a standard normal distribution table.

A z-score of 0.8 corresponds to approximately the 78.81st percentile, meaning about 78.81% of the scores are below 112.

A z-score of -1.2 corresponds to approximately the 11.54th percentile, meaning about 11.54% of the scores are below 82.

Final answer:

To find the derivative of f(x) = 3√x at a nonzero point, use the definition of the derivative with limits. The derivative at x=0 does not exist because the function has an infinite slope at this point, demonstrated by the absence of a limit, signifying a vertical tangent line at (0,0).

Explanation:

To find f'(a) for f(x) = 3√x when a ≠ 0, we can use the given definition of the derivative:
f'(a) = limh→0 (f(a+h) – f(a)) / h.
To show that f'(0) does not exist and that f has a vertical tangent line at (0,0), we need to evaluate the limit as h tends to zero for the derivative definition applied at a = 0. Since the square root function is not differentiable at 0 (due to the function having an infinite slope at this point), the limit will not exist, indicating that the derivative at 0 does not exist, and the graph of f exhibits a vertical tangent at that point.

The solution is, By $.87 dollars has the price of gas changed from January to May

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

given that,

Starting price is 2.65, increased by .56

2.65+.56=3.21

Price is 3.21, decreased by .23

3.21-.23=2.98

Price is 2.98, increased by 1.02

2.98+1.02= 4

Price is 4, decreased by .48

4-.48=3.52

Now find the difference from the starting price (January) from the end price (May)

3.52-2.65=.87

The difference from gas prices is $.87.

Hence, The solution is, By $.87 dollars has the price of gas changed from January to May.

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Answer:

The answer is 9

Step-by-step explanation: ? i did the the tetst or whatever and 9 is the correct answer.

YOUR WELCOME :}

The value of the expression -4²+(5-2)(-6) is -34 when following the standard rules of arithmetic.

The value of the expression −4²+(5−2)(−6) can be determined by first calculating the power and then performing the operations inside the parentheses, followed by the multiplication and addition/subtraction.

The power of −4² is 16 because the negative sign is not inside the parentheses, so it is not squared, and 16 will be considered as a negative number here (-16).

Next, we calculate the value within the parentheses (5−2), which gives us 3.

Then we multiply 3 by −6, which equates to −18. Finally, we add the two results: −16 + (−18) = −16 −18 = −(16 + 18) = −(34), resulting in the value −34.

the answer is 745.65

hope i helped:)

Answer: =[tex]\dfrac{17}{24}[/tex]

Step-by-step explanation:

Given : The amount of oil is used  in a recipe. = [tex]\dfrac{1}{3}[/tex]

The amount of water used in a recipe = [tex]\dfrac{3}{8}[/tex]

The total number of cups of liquid used by Shelly:-

[tex]\dfrac{1}{3}+\dfrac{3}{8}=\dfrac{8+3\times3}{24}\\\\\=\dfrac{8+9}{24}=\dfrac{17}{24}[/tex]

Hence, the total number of cups of liquid used in all =[tex]\dfrac{17}{24}[/tex]

Answer:

B. The length is 6 times the width

Step-by-step explanation:

The proper solution is choice B. The length is 6 times the width.

To find the quantity of a rectangular prism, multiply its 3 dimensions: duration x width x height. The volume is expressed in cubic gadgets.

Right rectangular prisms or cuboids are all around us. a few examples are books, packing containers, homes, bricks, forums, doorways, containers, cabinets, mobiles, and laptops.

Any of the elements of a product taken into consideration with regards to a specific element particularly: a constant thing of a term as outstanding from a variable.

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Answer:

Altitude of the trapezoid is 2 cm.

Step-by-step explanation:

ABCD is a trapezoid. Since two bases of the trapezoid are

B1 = 2.5 cm and B2 = 4 cm.

Area given is 6.5 cm²

Then we have to calculated he altitude of the trapezoid.

Now we know the formula of area of the trapezoid = [tex]\frac{1}{2}[/tex] ( Base1 + Base2)

By putting the values in the formula

6.5 =  [tex]\frac{1}{2}[/tex] ( 2.5 + 4 ) × h

6.5 =  [tex]\frac{6.5}{2}[/tex] × h

h =  \frac{2\times 6.5}{6.5} = 2 cm.

Answer is altitude of the trapezoid is 2 cm.

Answer:

It would be I - All bookstores in California

Step-by-step explanation:

Internet book stores and random children's bookstores do not specify that they're on the West Coast and could be taken from anywhere

Answer:

b

Step-by-step explanation:

let x = blue cars

 so 7x = red cars

x +7x = 56

8x = 56

x = 56/8 =7 blue cars

7*7 =49 red cars

49-7 =42 more red cars

The expression [tex]180+15x[/tex] consists of ONE CONSTANT [180] and another VARIABLE EXPRESSION [15x].

Since the coach purchased ONE GOAL, this corresponds to the CONSTANT, which is 180. 180 is the price of the goal.

Since coach purchased several soccer balls, but doesn't say how many, it is the variable part, 15x, where

ANSWER:

180 represents the price of the goal

15x represents the total price of the soccer balls

Answer:

180 represents the price of the goal

15x represents the total price of the soccer balls

Step-by-step explanation: