1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
spayn [35]
3 years ago
13

Is a relation always a function ? is a function always a relation ? explain

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
3 0

It just so happens that it's always the same y for each x, but it is only that one y. So this is a function; it's just an extremely boring function! ... So this is a relation, but it is not a function.

You might be interested in
If the standard deviation of shear strength measurements for spot welds is 10.5 pounds per square inch (psi), what is the minimu
Reil [10]

Answer:

The minimum number is 1456.

Step-by-step explanation:

The sheer Stength for spot welds is a random variable with unknown mean μ and standard deviation σ = 10.5. Let X be the sample mean of a sample size of n spot welds. The Central Limit Theorem states that X has approrximately Normal Distribution with mean μ and standard deviation 10.5/(√n). Lets denote with W the standarization of X. W has distribution approximately Normal with mean 0 and standard deviation 1. W is given by the following formula

W = \frac{X-\mu}{\frac{10.5}{\sqrt{n}}}

The cummulative distribution function of W, noted by Ф, has its values tabulated, and they can be found on the attached file. We want a confidence interval of 99%, so we should find Z such that P(-Z < W < Z) = 0.99. Since the Normal density function is symmetric, this is equivalent to find Z such that P(W < Z) = 0.995, in other words, Ф(Z) = 0.995

If we watch the table, we will find that the value of Z corresponding to the value 0.995 is 3.27. This means that

0.99 = P(-3.27 < \frac{X-\mu}{\frac{10.5}{\sqrt{n}}} < 3.27)

This is equivalent to

P(-3.27* \frac{10.5}{\sqrt{n}} < X - \mu < 3.27* \frac{10.5}{\sqrt{n}}) =0.99

Now, we take out the X and the sign, reverting the inequalities, and we obtain

P(X - 3.27* \frac{10.5}{\sqrt{n}} < \mu < X + 3.27* \frac{10.5}{\sqrt{n}}) = 0.99

Thus, a 99% confidence interval for μ is CI = [X - 3.27* \frac{10.5}{\sqrt{n}} , X + 3.27* \frac{10.5}{\sqrt{n}}].

In order for the sample mean to be within 0.9 psi from the true mean, we need n such that

3.27* \frac{10.5}{\sqrt{n}} < 0.9 \, \rightarrow \frac{1}{\sqrt{n}} < \frac{0.9}{3.27*10.5} \, \rightarrow \sqrt{n} > 38.15 \, \rightarrow n > 1455.4

We take n = 1456 in order to assure that the sample mean is within 0.9 psi of its true mean.

Download pdf
3 0
3 years ago
Select the equation in which the graph of the line has a negative slope, and the y-intercept equals 10. Answer 10x + 5y = –25 5x
adoni [48]
The answer is 20x + 5y = 50
If u move the 20x over u get:
5y=-20x + 50

Solve for y by divided by 5

This gets y=-4x + 10

Now the answer is in slope intercept form: the -4 is the slope and 10 is the y-intercept
4 0
3 years ago
Find the distance between Line L and Point P if Line L contains the points
svet-max [94.6K]

Answer:

  (b)  4.2

Step-by-step explanation:

The distance from a point to a line can be found using the formula. To use it, we need the equation of the line in general form.

We notice that the coordinates of the given points have the same y/x = 2/3 ratio. This means they lie on the line y = 2/3x. The equation for that line, written in general form is ...

  y = 2/3x

  3y = 2x

  2x -3y = 0 . . . . . . general form equation for the line through the points.

The formula for the distance from (x, y) to the line ax+by+c=0 is ...

  d = |ax +by +c|/√(a²+b²)

The distance from (x, y) to our line is given by the formula ...

  d = |2x -3y|/√(2² +(-3)²)

  d = |2x -3y|/√13

For point P(9, 11), the distance to the line is ...

  d = |2·9 -3·11|/√13 = |18 -33|/√13 = 15/√13 ≈ 4.2

3 0
2 years ago
How can variables and mathematical expressions be used to show different ways of seeing a pattern?
liberstina [14]
Yes hopefully that helps
3 0
3 years ago
The graph below shows the solution to which system of inequalities?
Sergeu [11.5K]
I  think   its   b .............
6 0
3 years ago
Read 2 more answers
Other questions:
  • 1-3x=3x+1 SOLVE FOR X ALL NUMBER FORM NO WORDS AT ALL
    6·1 answer
  • Which table corresponds to the fiction y=-3x+5
    7·1 answer
  • Is 3 a solution to the equation 6x – 7 = 12?
    11·2 answers
  • if a product is it in late you receive 8/9 of you earn points you receive 72 points on your Late project how many points did you
    11·1 answer
  • 6. Write an expression that is equivalent to<br> 4 + 3(5 + x).
    9·2 answers
  • What is the shaded sector? Someone please help me
    9·1 answer
  • Anyone know what a vertical zigzag
    12·1 answer
  • I need your help please!!<br><br> **the answer choices are in the pictures as well**
    5·1 answer
  • Latasha earned 18 points on her quiz. If 24 points is equivalent to a score of 100%, which of the following proportions could sh
    12·2 answers
  • Can someone help me please
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!