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rosijanka [135]
2 years ago
7

A number is called evil if it has 666 in it. How many 7 digit numbers are evil?

Mathematics
1 answer:
defon2 years ago
5 0

Step-by-step explanation:

There are 5 different positions of 666:

666////

/666///

//666//

///666/

////666

The forward dashes represent any number from 0 to 9.

Case 1: "666////"

Number of ways = 10⁴ = 10,000.

Case 2: The other positions.

Since the 1st forward dash cannot be 0 (leading digit),

Number of ways for each position = 9 * 10³ = 9,000

Number of ways for all 4 positions = 9,000 * 4 = 36,000.

Total evil numbers = 10,000 + 36,000 = 46,000.

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Artemon [7]

Answer:

Keenan's z-score was of 0.61.

Rachel's z-score was of 0.81.

Step-by-step explanation:

Z-score:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

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This means that X = 80, \mu = 77, \sigma = 4.9

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

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Z = 0.61

Keenan's z-score was of 0.61.

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Rachel's z-score was of 0.81.

6 0
2 years ago
Of the last 500 customers entering a supermarket, 50 have purchased a wireless phone. If the relative frequency approach for ass
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Answer:

The probability that the next customer will purchase a wireless phone is 0.1

Step-by-step explanation:

The relative frequency approach states<em> how often something happens divided by all outcomes</em>.

In the example some of the customers entering a supermarket purchased a wireless phone.  

Here all outcomes are 500 customer entering supermarket. And among these outcome purchasing wireless phone happened 50 times.

Then the probability that the next customer will purchase a wireless phone is

\frac{50}{500}.

If we divide both sides by 50, we get \frac{1}{10}=0.1

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