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Natasha_Volkova [10]
3 years ago
15

The first discount on a camera was 18%. The second discount was 20%. After the two discounts the price became $328. What was the

original price?
Mathematics
2 answers:
ExtremeBDS [4]3 years ago
8 0

Answer:

$500

Step-by-step explanation:

Let the original price be X

18% discount means 100-18 = 82% to be paid

20% discount means 100-20 = 80% to be paid

(0.8)(0.82)X = 328

0.656X = 328

X = 328/0.656

X = 500

Lelechka [254]3 years ago
6 0

Answer:

500

Step-by-step explanation:

Let x be the original price

Take the first discount

x - 18 percent

x - .18x = new price

x( 1-.18)

x ( .82) = new price

Now we take a 20 percent discount

This is on the discounted price, use .82x

.82x - 20 percent= 2nd discounted price

.82x - .20(.82x)

.82x -.164x

.656x= 2nd discounted price

.656x = 328

Divide each side by.656

.656x/.656 = 328/.656

x =500

The original price was 500

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126
Explanation
18/-3-(-12)•(-1)•(-11)
divide 18 by -3 and change signs on the 12
(-6)+12•(-1)•(-11)
multiply 12 and -1
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5 0
2 years ago
Consider the probability that greater than 96 out of 153 DVDs will work correctly. Assume the probability that a given DVD will
ICE Princess25 [194]

Answer:

0.3594 = 35.94% probability that greater than 96 out of 153 DVDs will work correctly.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

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The standard deviation of the binomial distribution is:

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Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 153, p = 0.62

So

\mu = E(X) = np = 153*0.62 = 94.86

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{153*0.62*0.38} = 6

Probability that greater than 96 out of 153 DVDs will work correctly.

97 or more DVDs, which is 1 subtracted by the pvalue of Z when X = 97. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{97 - 94.86}{6}

Z = 0.36

Z = 0.36 has a pvalue of 0.6406

1 - 0.6406 = 0.3594

0.3594 = 35.94% probability that greater than 96 out of 153 DVDs will work correctly.

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3 years ago
H 24 inches The volume of a cylinder can be found by using the formula v Bh. Which expression can be used to determine B, the ar
Lelechka [254]
The volume a cylinder is v=(area of base)h and since the area of the base is πr², you can write the equation a v=πr²h.  Since the problem wants us to find what be is in the equation of a cylinder as v=Bh, we know that B=πr².  The problem gave us the diameter of the circle so we no the radius is going to be the diameter (24) divided by 2 which equals 12.  therefore B=12²π.

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Answer:

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Answer:

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Step-by-step explanation:

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<em>kai6417</em>

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