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Law Incorporation [45]
1 year ago
14

a product online for $299 and was charged an additional $10 for shipping and handling. The customer received a rebate of $99 and

a $25 credit for turning in an old cell phone. After a tax of 4% was applied, how much did the customer pay for the product?
Mathematics
2 answers:
sammy [17]1 year ago
8 0
The customer payed $192.4 for the product.
ratelena [41]1 year ago
6 0

Answer:

Amount of money paid by the customer = $192.40

Step-by-step explanation:

Online price of the product = $299

Shipping and handling charge = $10

Rebate received = $99

Credit earned for turning in an old phone = $25

So, Total amount of mobile phone = 299 + 10 - 99 - 25

                                                          = $185

Tax applied on final price = 4%

Amount of money paid by the customer = 185 + 4% of 185

= 185 + 0.4 × 185

= $192.40

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The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 ci
Olenka [21]

Answer:

The correct answer is

(0.0128, 0.0532)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

For this problem, we have that:

In a random sample of 300 circuits, 10 are defective. This means that n = 300 and \pi = \frac{10}{300} = 0.033

Calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool.

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 - 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0128

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 + 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0532

The correct answer is

(0.0128, 0.0532)

4 0
1 year ago
A friend tells you that he has a cubic equation with exactly three complex roots. Determine which explanation best explains why
Ksju [112]
Complex solutions, namely roots with a √(-1) or "i" in it, never come all by their lonesome, because an EVEN root like the square root, can have two roots that will yield the same radicand.

a good example for that will be √(4), well, (2)(2) is 4, so 2 is a root, but (-2)(-2) is also 4, therefore -2 is also a root, so you'd always get a pair of valid roots from an even root, like 2 or 4 or 6 and so on.

therefore, complex solutions or roots are never by their lonesome, their sister the conjugate is always with them, so if there's a root a + bi, her sister a - bi is also coming along too.

if complex solutions come in pairs, well, clearly a cubic equation can't yield 3 only.
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2 years ago
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vlabodo [156]

45a + 30c = 315 \\ 50a + 40c = 370
The answers are C and E

Hope this helps. - M
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2 years ago
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Answer should be:

b. No; it is a reflection followed by a translation.

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Answer:

the answer is c

Step-by-step explanation:

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