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Studentka2010 [4]
3 years ago
7

(a) Rearrange the equation x + 2y = 6 to make y the subject.

Mathematics
2 answers:
satela [25.4K]3 years ago
7 0

To make y the subject, we must move everything to one side and y on the other.

  x + 2y = 6\\2y = 6 -x\\2y = -x + 6\\y =-\frac{1}{2} x + 3

Good day and I hoped that helped!

Luba_88 [7]3 years ago
3 0

Answer:

y=3-\frac{x}{2}

Step-by-step explanation:

<u>1. Examine Equation</u>

x+ 2y = 6

<u>2. Subtract "x" from both sides</u>

2y = 6-x

<u>3. Divide both sides by 2</u>

y = \frac{6}{2} -\frac{x}{2}

<u>4. Simplify</u>

y=3-\frac{x}{2}

<u />

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The set of life spans of an appliance is normally distributed with a mean mu = 48 months and a standard deviation sigma = 8 mont
navik [9.2K]

Using the normal distribution, it is found that the life span of an appliance that has a z-score of –3 is of 24 months.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the parameters are given as follows:

\mu = 48, \sigma = 8, Z = -3.

Hence:

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

-3 = \frac{X - 48}{8}

X - 48 = -24

X = 24.

The life span of an appliance that has a z-score of –3 is of 24 months.

More can be learned about the normal distribution at brainly.com/question/24663213

#SPJ4

6 0
2 years ago
Timothy want to estimate the percentage of homeowners that own at least one dog. He surveys 100 randomly selected homeowners to
7nadin3 [17]

Answer:

C. The percentage of all homeowners that own at least one dog

Step-by-step explanation:

A parameter describes an entire population. Timothy is sampling from the 100 random homeowners to extrapolate their opinions onto the opinions of the entire population of homeowners.

8 0
3 years ago
Blake is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. Blake will earn $
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Answer:

It was played in 3 movies and in 10 commercials.

Step-by-step explanation:

110 times 3 = 330

530 minus 330 = 200

200 divided by 20 = 10

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To find the slope we do (Y1 - Y2)/(X1-X2) aka rise over run

So, m = (-4 - 2) / (-3 - 0)

m = 2

Now we have y = 2x +b

Notice one of our points is (0,2)

Since the x value of that point is 0, it is the y intercept.

In the slope intercept form b = y-intercept

Therefore b = 2

So, y = 2x + 2

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Find the value of x so that the function has the given value. t(x) = 3x; t(x)<br> 24*
valentina_108 [34]

8 is the answer because we all ķnow 3 ×8=24

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