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Nookie1986 [14]
3 years ago
11

Solve 5x(x-4) using distributive property

Mathematics
2 answers:
JulsSmile [24]3 years ago
8 0

Answer:

5x^2 - 20x.

Step-by-step explanation:

a(b +c ) = ab + ac   is the distributive property, so we have:

5x(x - 4)

= 5x*x + 5x * -4

= 5x^2 - 20x.

vodomira [7]3 years ago
4 0

Answer:

5x² - 20x

Step-by-step explanation:

multiply each term in the parenthesis by the 5x outside

5x(x - 4)

= (5x × x ) + (5x × - 4 )

= 5x² + (- 20x) = 5x² - 20x


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Find the inverse of y=1/2x+6. Show steps
soldi70 [24.7K]

Answer:

y = 2x - 12

Step-by-step explanation:

To find the inverse of a function, you switch x and y and solve for y.

x = 1/2 y + 6                 switch x and y

x - 6 = 1/2 y                  subtract 6 from both sides

2x - 12 = y                    multiply both sides by 2

7 0
3 years ago
The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 3639 3639 miles, with a var
Andrei [34K]

Answer:

96.6% probability that the mean of a sample would differ from the population mean by less than 126 miles

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

A reminder is that the standard deviation is the square root of the variance.

Normal probability distribution

When the distribution is normal, we use 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

\mu = 3639, \sigma = \sqrt{145161} = 381, n = 41, s = \frac{381}{\sqrt{41}} = 59.5

Probability that the mean of the sample would differ from the population mean by less than 126 miles

This is the pvalue of Z when X = 3639 + 126 = 3765 subtracted by the pvalue of Z when X = 3639 - 126 = 3513. So

X = 3765

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

By the Central Limit Theorem

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

Z = \frac{3765 - 3639}{59.5}

Z = 2.12

Z = 2.12 has a pvalue of 0.983

X = 3513

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

Z = \frac{3513 - 3639}{59.5}

Z = -2.12

Z = -2.12 has a pvalue of 0.017

0.983 - 0.017 = 0.966

96.6% probability that the mean of a sample would differ from the population mean by less than 126 miles

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the figure moved 7 to the right and 7 down

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A family purchased a new ski boat for $18,500. The loan agency required a 10% down payment and financed the balance for 36 month
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Answer:

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Step-by-step explanation:

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