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Andreas93 [3]
2 years ago
15

What is the mean of the data set? {32, 33, 34, 34, 36, 38, 38, 38, 40, 42}

Mathematics
2 answers:
Sphinxa [80]2 years ago
7 0
Add all the numbers:

32 + 33  34 + 34 + 36 + 38 + 38 + 38 + 40 + 42 = 365

There are 10 numbers.

Divide:
Total by how many numbers there are

Total = 365
Numbers = 10

365 / 10 = 36.5

The mean is 36.5

Hope this helped☺☺


slavikrds [6]2 years ago
3 0
36.5 is the mean of the set of data. The mean Is the average of the set. To find the average you:

1) Add up all of the numbers in your set. (365)
2) Then, divide the sum by the quantity of numbers. (365/10=36.5)
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Stolb23 [73]
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8 0
2 years ago
You know that 12x=60, and that x=5. Which property of equality would you use to conclude that 12•5=60?
alexandr402 [8]

ANSWER

The substitution property of equality.

EXPLANATION

We know that:

12x = 60

and that

x = 5

Since x=5 or 5=x , we can substitute x for 5 wherever we see x in the given equation.

When we do that, we obtain;

12 \bullet \: 5 = 60

This is what we refer to as the substitution property of equality.

5 0
3 years ago
a source of laser light sends rays ab and ac toward two opposite walls of a hall. the light rays strike the walls at points b an
marissa [1.9K]
Let  AM be the distance between point A and the right wall and AN be the distance between A and the left wall.
Δ AMB is an isosceles right triangle and  Δ ANC is half of an equilateral triangle.
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The distance between the walls is:
30 m + 40 m = 70 m.
4 0
2 years ago
Show work and Factor 4x^2+xy-18y^2
grigory [225]

Answer:

4x^2+xy-18y^2=(4x+9y)\,(x-2y)

Step-by-step explanation:

Let's examine the following general product of two binomials with variables x and y in different terms:

(ax+by)\,(cx+dy)= ac\,x^2+adxy+bcxy+bdy^2

so we want the following to happen:

a\,c = 4\\ad+bc=1\\bd--18

Notice as well that ad+bc =1 means that those two products must differ in just one unit so, one of them has to be negative, or three of them negative. Given that the product bd=-18, then we can consider the case in which one of this  (b or d) is the negative factor. So let's then assume that a\,\,and \,\,c are positive.

We can then try combinations for  a\,\,and \,\,c  such as:

a = 4;\,\,c=1\\a=2;\,\,c=2\\a=1;\,\,c=4

Just by selecting the first one (a=4;\,\,c=1)

we get that 4d_b=1\\b=-4d-1

and since

bd=-18\\(-4d-1)\,d=-18\\-4d^2-d=-18\\4d^2+d-18=0

This quadratic equation give as one of its solutions the integer: d = -2, and consequently,

d=-18/(-2)\\d=9

Now we have a good combination of parameters to render the factoring form of the original trinomial:

a=4; \,\,b=9;\,\,c=1;\,\,d=-2

which makes our factorization:

(4x+9y)\,(x-2y)=4x^2+xy-18y^2

6 0
2 years ago
M divided by 6 = 21 so what does m equal
loris [4]

Answer:

Step-by-step explanation:

M equals 3.5

6 0
2 years ago
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