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VikaD [51]
3 years ago
5

A TV has a listed price of $578.98 before tax. If the sales tax rate is 8.25%, find the total cost of the TV with sales tax incl

uded.
Round your answer to the nearest cent, as necessary.
Mathematics
1 answer:
SSSSS [86.1K]3 years ago
8 0

Answer:

$626.75

Step-by-step explanation:

<u>First, we must find how much tax will be added to the TV's price:</u>

<u>Step 1: Convert the percentage to a decimal:</u>

To convert a percentage to a decimal, divide it by 100

8.25/100 = 0.0825

<u>Step 2: Multiply the TV's price by that decimal:</u>

578.98 * 0.0825 = 47.76585

So $47.76585 will be added to the price

<u>Now, we can calculate the total price:</u>

<u>Step 3: Add the tax we jsut calculated to the TV's price to find total price:</u>

578.98 + 47.76585

= 626.74585

<u>Step 4: Round to the nearest cent (2 decimal places)</u>

626.75

So the total price is $626.75

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Serggg [28]

Answer:

a) The 99% confidence interval would be given by (24.409;24.979)  

b) n=464

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

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".  

Part a

The confidence interval for the mean is given by the following formula:  

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}} (1)  

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:  

df=n-1=47-1=46  

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,46)".And we see that t_{\alpha/2}=2.01  

Now we have everything in order to replace into formula (1):  

525-2.01\frac{75}{\sqrt{47}}=503.01  

525+2.01\frac{75}{\sqrt{47}}=546.99  

So on this case the 95% confidence interval would be given by (503.01;546.99)

Part b

The margin of error is given by this formula:  

ME=t_{\alpha/2}\frac{s}{\sqrt{n}} (1)  

And on this case we have that ME =7 msec, we are interested in order to find the value of n, if we solve n from equation (1) we got:  

n=(\frac{t_{\alpha/2} s}{ME})^2 (2)  

The critical value for 95% of confidence interval is provided, t_{\alpha/2}=2.01 from part a, replacing into formula (2) we got:  

n=(\frac{2.01(75)}{7})^2 =463.79 \approx 464  

So the answer for this case would be n=464 rounded up to the nearest integer  

8 0
3 years ago
Please help me, I need an answer, thanks! :)
polet [3.4K]

Answer:

2t - 5 = -10

Step-by-step explanation:

add 5 to each side which leaves you with

2t=-5

then mulitply 5 and two and get t=10

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3 years ago
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umka2103 [35]

Answer:

B) -3

Step-by-step explanation:

1. First you have to write the equation in slope intercept form. To do that, you must have y be alone on one side.

2. move the 3x to the right side with the 5 by subtracting 3x from both sides. Since 3x will cancel on the left, y will be left alone. y=-3x+5

3. Now that you're in slope intercept form, you can find the slope easily. The slope will always be the number in front of x. In this case, the number in front of x is -3. Therefore, -3 is your slope!

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Answer:

a=2

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3(3a+2)+6=30

9a+6+6=30

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9a=18

a=2

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3 years ago
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