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vodka [1.7K]
3 years ago
7

Absolute Values InequalittiesI  x  I  + 3 > 4

Mathematics
1 answer:
Aneli [31]3 years ago
8 0
| x |  + 3 > 4\\
|x|>1\\
x>1 \vee x
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baherus [9]
Pretty sure it’s the first answer
4 0
3 years ago
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What are two expressions that are equivalent to 6(5j + 2 + j)?<br><br><br><br>​
ziro4ka [17]

Answer:

1. 30j+12+6j

2. 36j+12

3. 6(6j+2)

Step-by-step explanation:

1. You just multiply so... 6x5j ... 6x2 ... 6xj

2. you multiply and then simplify so first you have 30j+12+6j, so you add like terms so... 30j+6j= 36j and then +12

3. you do what's in the parentheses first so 5j+j=6j so .... 6(6j+2)

5 0
4 years ago
Find the indicated probability. The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a
Alecsey [184]

Given Information:

Mean weekly salary = μ = $490

Standard deviation of weekly salary = σ = $45

Required Information:

P(X > $525) = ?

Answer:

P(X > $525) = 21.77%

Step-by-step explanation:

We want to find out the probability that a randomly selected teacher earns more than $525 a week.

P(X > 525) = 1 - P(X < 525)\\\\P(X > 525) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\P(X > 525) = 1 - P(Z < \frac{525 - 490}{45} )\\\\P(X > 525) = 1 - P(Z < \frac{35}{45} )\\\\P(X > 525) = 1 - P(Z < 0.78)\\\\

The z-score corresponding to 0.78 from the z-table is 0.7823

P(X > 525) = 1 - 0.7823\\\\P(X > 525) = 0.2177\\\\P(X > 525) = 21.77 \%

Therefore, there is 21.77% probability that a randomly selected teacher earns more than $525 a week.

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 0.7, 2.2, 1.5 etc.)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 0.78 then go for 0.08 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

3 0
3 years ago
Give one example of when you would draw a diagram to solve an angle measurement problem
adell [148]

An example of an angle measurement problem is when trying to calculate for the height of a particular object given the distance of the observer from the object and the angle of elevation or depression.  For example, you want to find out the height of a building. All you need to know is the distance of your point of origin to the building and the angle of elevation.

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3 years ago
What is the slope intercept form?
iren2701 [21]

For this case, we find the equation of the line of the form:

y = mx + b

Where:

m = \frac {y2-y1} {x2-x1} = \frac {-3-0} {0 - (- 3)} = \frac {-3} {3} = - 1

So, we have:

y = -x + b

We substitute one of the points:0 = - (- 3) + b\\0 = 3 + b\\b = -3

Thus, the equation is:

y = -x-3

Now, we substitute a point belonging to the region to determine the sign.

((0,0)\\0? - (0) -3\\0? -3

-3 is less than 0.

Then, the inequality is:

y> -x-3

As the border of the region is dotted, then it remains ">."

Answer:

y> -x-3

3 0
3 years ago
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