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iragen [17]
2 years ago
6

Is the relationship below linear, exponential, or neither?

Mathematics
1 answer:
Ilia_Sergeevich [38]2 years ago
5 0

Answer:

Linear

Step-by-step explanation:

It is linear because you are adding where exponential has to do with multiplying.

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Which answer is the approximate standard deviation of the data set?
Anna35 [415]

Answer:

3.4

Step-by-step explanation:

Standard deviation of a population is defined as:

σ² = ∑(xᵢ − μ)² / n

The standard deviation of a sample is defined as:

s² = ∑(xᵢ − x)² / (n - 1)

It's not clear which one we have, so let's calculate both.

First, we must find the mean.

μ = (5+12+15+10+12+6+8+8) / 8

μ = 9.5

Now we find the squares of the differences:

(5-9.5)² + (12-9.5)² + (15-9.5)² + (10-9.5)² + (12-9.5)² + (6-9.5)² + (8-9.5)² + (8-9.5)²

= 80

Divide by n:

σ² = 80 / 8

σ² = 10

And take the square root:

σ = √10

σ ≈ 3.2

That's not one of the answers, so let's try the standard deviation of a sample instead of a population.

Instead of dividing by n, we'll divide by n-1:

s² = 80 / 7

And take the square root:

s = √(80/7)

s ≈ 3.4

So that must be it.

6 0
3 years ago
PLEASE HELP!<br><br> 7 x blank = 1
Tcecarenko [31]

Answer: 1/7

Step-by-step explanation:

7x=1

x=1/7

4 0
2 years ago
Please answer both question fully.
BARSIC [14]

Step-by-step explanation:

<h3>Part A</h3>

<u>Angle measures:</u>

  • a = x = z = 51° (as vertical angles and corresponding angles)
  • b = d = y = w = 180° - 51° = 129° (as supplementary angles and corresponding angles)
<h3>Part B</h3>

Supplementary angles for a linear pair and sum to 180°.

<u>Examples are:</u>

  • a and b or
  • a and d or
  • x and y etc.
7 0
2 years ago
Read 2 more answers
Can someone please help me with how to do this?? I am lost
JulsSmile [24]

Answer:

G represents sets of student appearing for GENERAL KNOWLEDGE  

M represents sets of student appearing for MATHS

S represents sets of student appearing for SCIENCE

G ∩ M = { Max, Anael}

G ∪ S = { Max, Acel, Carl, Anael, Acton, Dario, Kai, Barek, Carlin}

8 0
3 years ago
The axis of symmetry for the function f(x) = –2x2 + 4x + 1 is the line x = 1. Where is the vertex of the function located?
egoroff_w [7]

Answer:

(1, 3)

Step-by-step explanation:

You are given the h coordinate of the vertex as 1, but in order to find the k coordinate, you have to complete the square on the parabola.  The first few steps are as follows.  Set the parabola equal to 0 so you can solve for the vertex.  Separate the x terms from the constant by moving the constant to the other side of the equals sign.  The coefficient HAS to be a +1 (ours is a -2 so we have to factor it out).  Let's start there.  The first 2 steps result in this polynomial:

-2x^2+4x=-1.  Now we factor out the -2:

-2(x^2-2x)=-1.  Now we complete the square.  This process is to take half the linear term, square it, and add it to both sides.  Our linear term is 2x.  Half of 2 is 1, and 1 squared is 1.  We add 1 into the set of parenthesis.  But we actually added into the parenthesis is +1(-2).  The -2 out front is a multiplier and we cannot ignore it.  Adding in to both sides looks like this:

-2(x^2-2x+1)=-1-2.  Simplifying gives us this:

-2(x^2-2x+1)=-3

On the left we have created a perfect square binomial which reflects the h coordinate of the vertex.  Stating this binomial and moving the -3 over by addition and setting the polynomial equal to y:

-2(x-1)^2+3=y

From this form,

y=-a(x-h)^2+k

you can determine the coordinates of the vertex to be (1, 3)

5 0
3 years ago
Read 2 more answers
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