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lisabon 2012 [21]
4 years ago
8

Gain finds a skirt that she likes at the store for $45.99. If the tax rate is 5.8%, how much will the shirt cost in all

Mathematics
1 answer:
Aleks04 [339]4 years ago
4 0

Answer:

$48.66

Step-by-step explanation:

The price of a good is the base cost plus tax. We are given the cost of the skirt, so all we need is the amount of tax. To find it, we multiple the cost of the  skirt by the tax rate:

45.99 * 0.058 = 2.67

We now add the tax to the cost of the skirt:

45.99 + 2.67 = 48.66

As you can see, we are adding the price of the skirt to 5.8% of the skirt's price, so we can also solve the problem by simply multiplying the cost by 1.058 as shown below:

45.99 * 1.058 = 48.66

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Find the probability of getting four consecutive aces when four cards are drawn without replacement from a standard deck of 52 p
posledela

Answer:

<em>P=0.0000037</em>

<em>P=0.00037%</em>

Step-by-step explanation:

<u>Probability</u>

A standard deck of 52 playing cards has 4 aces.

The probability of getting one of those aces is

\displaystyle \frac{4}{52}=\frac{1}{13}

Now we got an ace, there are 3 more aces out of 51 cards.

The probability of getting one of those aces is

\displaystyle \frac{3}{51}=\frac{1}{17}

Now we have 2 aces out of 50 cards.

The probability of getting one of those aces is

\displaystyle \frac{2}{50}=\frac{1}{25}

Finally, the probability of getting the remaining ace out of the 49 cards is:

\displaystyle \frac{1}{49}

The probability of getting the four consecutive aces is the product of the above-calculated probabilities:

\displaystyle P= \frac{1}{13}\cdot\frac{1}{17}\cdot\frac{1}{27}\cdot\frac{1}{49}

\displaystyle P= \frac{1}{270,725}

P=0.0000037

P=0.00037%

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3 years ago
Write the following expression in standard for a + bi<br><br><img src="https://tex.z-dn.net/?f=%5Cfrac%7B6-i%7D%7B1%2Bi%7D" id="
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Answer:

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Sydney bought a 4-pound bag of brown rice at the grocery store. The nutritional information showed that the bag
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Answer:

1.72973 oz/serving.  Perhaps round to 1.73 oz, although there is only 1 sig fig in "4-pound bag."  But the problem states "exactly."

Step-by-step explanation:

We want oz/serving, so let's convert the pounds of rice to total ounces of rice:

We are told that 16 oz = 1 pound.  Make that a conversion factor:  (16 oz/1 pound)

(4 pounds)*((16 oz/1 pound) = 64 ounces

We are told that 4 pounds (64 ounces) makes 37 servings.  So:

(64 ounces)/(37 servings) = 1.72973 oz/serving

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Answer:

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