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Elden [556K]
3 years ago
9

Your parents take your family out to dinner on a Wednesday night when they have a 15% off coupon. Your parents wanted to give th

e waiter a 18% tip for doing a great job. If the total amount of the dinner was $42.00, how much tip money should the waiter get? What is the new total? **Tip is given before the discount**
Mathematics
1 answer:
Rom4ik [11]3 years ago
8 0

Answer:

a. Tip is before the discount so the waiter will get;

= 42 * 18%

= $7.56

b. New total;

Coupon of 15% off applies;

= 42 * (1 - 15%)

= $35.70

Add the tip;

= 35.70 + 7.56

= $43.26

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In a sample of 70 stores of a certain​ company, 62 violated a scanner accuracy standard. It has been demonstrated that the condi
uysha [10]

Answer:

We need at least 243 stores.

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 level of 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}.

The margin of error of the interval is:

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

For this problem, we have that:

n = 70, p = \frac{62}{70} = 0.886

95% confidence level

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.

Determine the number of stores that must be sampled in order to estimate the true proportion to within 0.04 with 95​% confidence using the​ large-sample method.

We need at least n stores.

n is found when M = 0.04. So

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

0.04 = 1.96\sqrt{\frac{0.886*0.114}}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.886*0.114}

\sqrt{n} = \frac{1.96\sqrt{0.886*0.114}}{0.04}

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.886*0.114}}{0.04})^{2}

n = 242.5

Rounding up

We need at least 243 stores.

5 0
3 years ago
70 POINTS SIMPLE QUESTION ...im just dumb PLEASE HELP...
gogolik [260]

Answer:

A dilation of 2 about the origin.

Step-by-step explanation:

You can see in the original figure the points are half the points of the transformed figure.

For example the coordinates of H are (0.5,0)

The coordinates of H' are (1,0)

Since 0.5 * 2 = 1

There is a dilation of 2 about the origin.

8 0
3 years ago
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Help with the this question pleaseeee
34kurt

Answer:

32x - 8

Step-by-step explanation:

A = LW

A = (8x - 2)(4)

A = 32x - 8

7 0
3 years ago
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A can of tennis balls costs $6. The total cost c of n cans, including sales tax t, is given by the equation c = 6n + t. Which is
lora16 [44]

Answer:

The reason why c = 6n + t is the same as c - t = 6n is because c is the sum of the addition problem. 6n and t are the addends. The inverse operation for addition is subtraction. c is the cost that will be reduced by t. The answer is still 6n.

3 0
3 years ago
I need help please.
Rudiy27

Answer:

0.167, 0.164, 0.16

Step-by-step explanation:

In decimals, the closer it is to 1 the larger it gets. 0.167 is smaller than 0.164 because 0.164 is closer to one, which makes it greater.

8 0
3 years ago
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