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ra1l [238]
1 year ago
15

What is the total price of a $45.79 item when 7% sales tax is added?

Mathematics
2 answers:
mixas84 [53]1 year ago
6 0

Answer: The total price after tax is $48.99.

Step-by-step explanation:

Since we have given that

Total price of an item = $45.79

Rate of sales tax = 7%

So, amount of tax becomes

\dfrac{7}{100}\times 45.79\\\\=\$3.2053

So, Amount after tax would become

\$45.79+\$3.2053\\\\=\$48.99

Hence, the total price after tax is $48.99.

lesya692 [45]1 year ago
5 0
You find 7% of $45.79 and then add that on to $45.79
7% of $45.79 = $3.21
45.79 + 3.21 = 49
The new price is $49
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y = 0

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A standard weight known to weigh 10 grams. Some suspect bias in weights due to manufacturing process. To assess the accuracy of
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Answer:

a) The 98% confidence interval for the mean weight is between 10.00409 grams and 10.00471 grams

b) 49 measurements are needed.

Step-by-step explanation:

Question a:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.98}{2} = 0.01

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.01 = 0.99, so Z = 2.327.

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M = 2.327\frac{0.0003}{\sqrt{5}} = 0.00031

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The upper end of the interval is the sample mean added to M. So it is 10 + 0.00031 = 10.00471 grams

The 98% confidence interval for the mean weight is between 10.00409 grams and 10.00471 grams.

(b) How many measurements must be averaged to get a margin of error of +/- 0.0001 with 98% confidence?

We have to find n for which M = 0.0001. So

M = z\frac{\sigma}{\sqrt{n}}

0.0001 = 2.327\frac{0.0003}{\sqrt{n}}

0.0001\sqrt{n} = 2.327*0.0003

\sqrt{n} = \frac{2.327*0.0003}{0.0001}

(\sqrt{n})^2 = (\frac{2.327*0.0003}{0.0001})^2

n = 48.73

Rounding up

49 measurements are needed.

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1 year ago
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8 0
1 year ago
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Answer:

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A

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