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Dovator [93]
3 years ago
15

find four consecutive even integers such that the sum of the third and fourth is 6 less than four times the first​

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
5 0

Answer:

The numbers are 2, 4, 6 and 8

Step-by-step explanation:

let the four numbers be x, y, z and l respectively

then:

x+y+z+l

(z+l)–6=4x

since they are all four consecutive even integers

then y=x+2

z=y+2=x+4

l=z+2=x+6

since (z+l)–6=4x

then ((x+4)+(x+6))–6=4x

2x+4=4x

4=4x–2x

4=2x

2=x

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Nobody been getting my recent questions please answer this and msg r the last 3 too
lakkis [162]

Answer:

The value of the missing angle is 103.

Step-by-step explanation:

4 0
2 years ago
Identify the outliers of the data set. Then determine if the outlier increases or decreases the value of the mean.
Juli2301 [7.4K]
<h3>Answer:  D) 76; increases</h3>

========================================================

Explanation:

The main group or cluster of values spans from 32 to 42 (inclusive).

Then off on its own is the value 76, which we consider an outlier. This value is fairly far from the group. As a rule, large outliers pull on the arithmetic mean to make it larger than it should be. Think of it like the outlier pulling on the mean as if it was done through a magnet or gravitational pull.

Similarly, small outliers pull the mean to the left to make it smaller than it should be. We don't have any small outliers in this case.

--------------

Let's consider the set

A = {32, 34, 35, 36, 37, 38, 38, 41, 42, 42, 46}

where I've sorted the values and I replaced 76 with 46.

Computing the mean of set A gets us

(32+34+35+36+37+38+38+41+42+42+46)/11 = 38.27 approximately

--------------

Now let's form this set

B = {32, 34, 35, 36, 37, 38, 38, 41, 42, 42, 76}

which is the original set your teacher gave you. It's nearly identical to set A, except that the 46 is now 76 again.

Compute the mean of set B

(32+34+35+36+37+38+38+41+42+42+76)/11 = 41

---------------

Set A has a mean of roughly 38.72 and set B has a mean of 41. We see that the mean has increased.

3 0
2 years ago
What is the perimeter of the triangle expressed as a polynomial?
SVETLANKA909090 [29]
Sorry I couldn't find this sooner!

The perimeter of any polygon means the sum of all the lengths of its sides. In this case the sides are (5x - 2), (2x - 3), and (4x + 3). We can find the perimeter by adding all of these lengths up:

(5x - 2) + (2x - 3) + (4x + 3) 
= 5x - 2 + 2x - 3 + 4x + 3
=11x -2

Final Answer: B. 11x - 2

8 0
3 years ago
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6 0
2 years ago
What are the measures of each interior angles of a regular 24-gon
Andre45 [30]
The formula for the sum of the interior angles of a polygon is (n-2)*180, where n is the number of sides.

So, you'd have:
180(24-2)
180(22)
3960

3960 degrees is the sum of all the measures of the interior angles of a 24-gon. Now, to find how much each angle measures in a regular 24-gon, simply divide this: 3960/24.

You can use a calculator to solve this, but to actually give you the answer to your question:
3960/24=165

In a regular 24-gon, each angle's measurement is 165 degrees.
4 0
3 years ago
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