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stiv31 [10]
3 years ago
9

Write the equation in slope-intercept form: x-4y=8

Mathematics
2 answers:
ad-work [718]3 years ago
4 0

Answer:

y =  \frac{1}{4} x - 2

Step-by-step explanation:

First thing to do is siolate the y variable. We do this by subtracting x from both sides of the equation in this particular equation.

x - 4y = 8 \\  - x \:  \:  \:  - x \\  - 4y =   - x + 8

Now we change the -4y into just y using division. We have to divide boths sides by -4 to do so.

- 4y =  - x + 8 \\  \div ( - 4) \:  \:  \div ( - 4) \\ y =   \frac{1}{4}x - 2

There it is in slope intercept form.

alisha [4.7K]3 years ago
3 0

Answer:

y=1/4x-2

Step-by-step explanation:

slope intercept form is y=mx+b

your equation right now is in standard form: ax+by=c

equation: x-4y=8

what we want to do is isolate y on one side

subtract x from both sides

-4y=-x+8

divide by 4 on both sides

y=1/4x-2

Hope this helps! :)

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klasskru [66]

Answer:

The sales level that has only a 3% chance of being exceeded next year is $3.67 million.

Step-by-step explanation:

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.

In this question, we have that:

In millions of dollars,

\mu = 3.2, \sigma = 0.25

Determine the sales level that has only a 3% chance of being exceeded next year.

This is the 100 - 3 = 97th percentile, which is X when Z has a pvalue of 0.97. So X when Z = 1.88.

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

1.88 = \frac{X - 3.2}{0.25}

X - 3.2 = 0.25*1.88

X = 3.67

The sales level that has only a 3% chance of being exceeded next year is $3.67 million.

7 0
3 years ago
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Answer:

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8 0
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Jimmy know the route from his house to his school, and can name each street along the way.
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The amount of money that Mary earns varies directly with the number of hours worked. If Mary earns $320 for working 40 hours,
Nostrana [21]

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Step-by-step explanation:

5 0
3 years ago
On a very cold morning, it was -7°F. As the day went on, the temperature rose 3 degrees each hour. Which equation shows the temp
wariber [46]

Answer:

The equation shows the temperature over time will be:

  • y = 3x - 7

Hence, option (C) is correct.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

y=mx+b

where m is the rate of change or slope and b is the y-intercept

  • Let 'y' be the temperature
  • Let 'x' be the time in the hour

Given that one very cold morning, it was -7°F.

Thus, the y-intercept = b = -7

Given that as the day went on, the temperature rose 3 degrees each hour.

Thus, the rate of change = slope = m = 3

Thus, substituting m = 3 and b = -7 in the equation

y = mx+b

y = 3x + (-7)

y = 3x - 7

Therefore, the equation shows the temperature over time will be:

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Hence, option (C) is correct.

3 0
3 years ago
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