Write an equation of the line with slope 2/3 that goes through the point (- 2, 5) .

Mathematics

1 answer:

Nady [450]3 years ago

5 0

Answer:

y - 5 = (2/3)(x + 2)

Step-by-step explanation:

Use the point-slope formula y - k = m(x - h), recognizing that h = -2, y = 5 and m = 2/3:

y - 5 = (2/3)(x + 2)

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2 years ago

Calculate the total cost of an item bought at a negotiated price of $15,640 and a $2,500 trade-in allowance. The sales tax is 7.

34kurt

15,640 * 7.2% = 1,126.80 Sales tax

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At one gym, there is a $12 start-up fee, and after that each month, m, at the gym costs $20. At another gym, each month at the g

Galina-37 [17]

Answer: it will take 6 months for both gyms to cost the same.

Step-by-step explanation:

Let m represent the number of months that it will take for the cost of both gyms be the same.

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For both costs to be the same, the number of months would be

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3 years ago

A consumer survey indicates that the average household spendsμ= $185on groceries each week. The distribution of spending amounts

Vitek1552 [10]

Answer:

$P(X>200)=P(\frac{X-\mu}{\sigma}>\frac{200-\mu}{\sigma})=P(Z>\frac{200-185}{25})=P(Z>0.6)$

And we can find this probability using the complement rule and with the normal standard table or excel:

$P(Z>0.6)=1-P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the average household spent of a population, and for this case we know the distribution for X is given by:

$X \sim N(185,25)$