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Bingel [31]
2 years ago
14

Find the mean, median, and mode of 3, 5, 1, 5, 1, 1, 2, 3, 15 after each data value increases by 4.

Mathematics
1 answer:
tankabanditka [31]2 years ago
5 0
<h2>Solving for the Mean, Median and Mode of a Data Set</h2><h3>Answer:</h3>

Mean: 8

Median: 7

Mode: 5

<h3>Step-by-step explanation:</h3>

If we increase each element in the data set by 4, our new data set will be...

\{ 7, 9, 5, 9, 5, 5, 6, 7, 19 \}

The mean of a data set is the sum of all of its elements divided by the number of elements.

Solving for the mean:

\frac{7 +9 +5 +9 +5 +5 +6 +7 +19}{9} \\ \frac{72}{9} \\ 8

The median of a data set is just the middle number if and only if the elements of the data set is arranged according to how less to how great each element is.

If we arrange our data set it will be...

\{ 5, 5, 5, 6, 7, 7, 9, 9, 19 \}

We can do see that our middle number is 7 so this our median.

The mode of a data set is the number that repeated the most. We can see in our data set that the number 5 repeated 3 times. 6 and 19 is 1. 7 and 9 is 2. Since 5 is the number that repeated the most, this is our median.

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Write the complex number 1 +i/1 -i into polar form​
IRINA_888 [86]

Answer:

cos(pi/2) + i sin (pi/2)

Step-by-step explanation:

(1+i)/ (1-i)

Multiply top and bottom by (1+i)

(1+i) (1+i)/ (1-i)(1+i)

Foil the top (1+i)(1+i) = 1 +2i +i^2 = 1 +2i -1 = 2i

Foil the bottom ( 1+i)(1-i) = 1 - i^2 = 1 - (-1) =2

2i/2 = i

the magnitude is (0^2+1^2) = 1

The angle is tan^-1( 1/0) = pi/2

cos(pi/2) + i sin (pi/2)

7 0
3 years ago
A box contains a collection of triangular and square tiles. There are 25 tiles in the box and 84 edges . How many square tiles a
NikAS [45]
This problem here would be a little tricky. Let us take into account first the variables presented which are the following: a collection of triangular and square tiles, 25 tiles, and 84 edges. Triangles and squares are 2D in shape so they give us a variable of 3 and 4 to work on those edges. Let us say that we represent square tiles with x and triangular tiles with y. There would be two equations which look like these:

x + y = 25                    and               4x + 3y = 84

The first one would refer to the number of tiles and the second one to number of edges.

We will be using the first equation to the second equation and solve for one. So if we will be looking for y for instance, then x in the second equation would be substituted with          x = 25 - y           which would look like this:

4 (25 - y) + 3y = 84

Solve.

100 - 4y + 3y = 84
-4y +3y = 84 - 100
-y = -16
-y/-1 = -16/-1
y = 16

Then:
x = 25 -y
x = 25 - 16
x = 9

So the answer is that there are 9 square tiles and 16 triangular tiles.
4 0
3 years ago
There are two laundry trucks One laundry truck visits Roxanne's house every 3 days and another laundry truck visits her neighbor
stealth61 [152]

Answer:

Evey 12 days  both  of the trucks visit on the same day

Step-by-step explanation:

The LCM of 3 and 4 is 12, because 12 is the smallest number that 3 and 4 are both factors for.

5 0
2 years ago
45) lí the midpoint of AB is (4,3) and point A has coordinates (-2,6),
sweet [91]
Midpoint has a formula x plus x2 divided by 2 and vice versa for y
So to solve you need to fill in numbers
You can replace x with negative 2 since you know that the coordinates for point A are -2,4
Solve to get 10
And vice versa for the y coordinate you solve the filled in equation to get 0
Your end result is 10,0
3 0
3 years ago
How to add the integers -7 and -5.
Rzqust [24]
-7 + -5
When you add negative, it would be the same as subtracting
Turns into: -7-5
-(7+5) = -12
The solutions is -12
8 0
2 years ago
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