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dybincka [34]
3 years ago
10

Solve for x. 4 | x - 7 | + 2 | x - 7 | = 12

Mathematics
1 answer:
miv72 [106K]3 years ago
7 0

Answer: x = 9, 5

<u>Step-by-step explanation:</u>

4 | x - 7 | + 2 | x - 7 | = 12

6 | x - 7 | = 12      <em>added like terms</em>

  | x - 7 | = 2       <em>divided both sides by 6</em>

x - 7 = 2         or         x - 7 = -2     <em>removed absolute value sign</em>

    x = 9         or               x = 5     <em>added 7 to both sides of both equations</em>

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Answer:

2016 markers

Step-by-step explanation:

168

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2 years ago
Which of the following expressions has a solution of -2
stealth61 [152]

Answer:

j. 1st, 2nd and 3rd

Step-by-step explanation:

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6 0
3 years ago
in one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean
VARVARA [1.3K]

Answer:

a=1050 -0.126*218=1022.53

So the value of height that separates the bottom 45% of data from the top 55% is 1022.53.  

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 energy consumption of a population, and for this case we know the distribution for X is given by:

X \sim N(1050,218)  

Where \mu=1050 and \sigma=218

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.55   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.45 of the area on the left and 0.55 of the area on the right it's z=-0.126. On this case P(Z<-0.126)=0.45 and P(z>-0.126)=0.55

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-0.126

And if we solve for a we got

a=1050 -0.126*218=1022.53

So the value of height that separates the bottom 45% of data from the top 55% is 1022.53.  

8 0
2 years ago
2. A snail weighed s ounces. One day the snail drank 5 times its weight in water and ate half its weight in food. Which equation
anastassius [24]

Answer:

Option D : t = 5s + s/2 is the correct answer.

Step-by-step explanation:

Given that:

t = Combined weight of water and food

s = weight of the snail

Water drank by snail = 5s

Food ate by snail = s/2

Combined weight = Weight of water + Food

t = 5s + s/2

Hence,

Option D : t = 5s + s/2 is the correct answer.

4 0
2 years ago
During the month of February, Fabulous Feet Shoe Mart sold 30 pairs of red loafers. After an ad campaign to boost sales, they so
Natalija [7]

Answer:

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Step-by-step explanation:

To find the percent increase lets first find the increase.

36-30 = 6

Now divide the increase by the original amount

6/30 = 1/5 = 20%

5 0
3 years ago
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