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Natalka [10]
3 years ago
5

5 less than a number is equivalent to 1 more than three times the number. the number is​

Mathematics
1 answer:
lutik1710 [3]3 years ago
3 0

Answer:

x = -1

Step-by-step explanation:

5 less than a number is equivalent to 1 more than three times the number

number = x

x - 5 = 3x + 1

now im going to get the numbers and variable on different sides

x - 5 + 5 = x

3x + 1 - 3x = 1

x + 3x = 4x

1 - 5 = -4

4x = -4

lastly im going to divide each side by 4

4x / 4 = x

-4 / 4 = -1

x = -1

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Let x be a random variable representing the heights of adult American men. Since it is normally distributed and the population mean and standard deviation are known, we would apply the formula,

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From the information given,

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The probability that the height of a selected adult is between 63 and 73 is expressed as

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For x = 63,

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Looking at the normal distribution table, the probability corresponding to the z score is 0.02275

For x = 73,

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Looking at the normal distribution table, the probability corresponding to the z score is 0.97725

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Problem 13

10p+10q factors to 10(p+q). If we apply the distributive property, we can distribute the 10 to each term inside (p and q) to get

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so we get the original expression again. Here 10 is the GCF of the two terms.

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Plug p = 1 and q = 2 into the factored form

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As a check, let's plug those p,q values into the original expression

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