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Fudgin [204]
3 years ago
14

Which of the following relations is not a function?

Mathematics
2 answers:
Masja [62]3 years ago
4 0

Answer:

A.{(7, 8), (8, 9), (9, 10), (7, 6)}

Step-by-step explanation:

when graphing do the straight line test on the x axis with a pencil or something and if the pencil touches more than one dot than it is not a function.


another way is to just look at the numbers for the x axis and if any of the numbers are the same for example (4,6), (4,9) then it is not a function. an example of a function would be (8,9), (2,6).

GalinKa [24]3 years ago
3 0
The answer would be A
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What is the slope of this line of best fit?
Bas_tet [7]

Answer:

The slope of the line of best fit is \frac{-6}{7}  ⇒ 2nd option

Step-by-step explanation:

The formula of the slope of a line is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

<em>To find the slope of the best line fit choose two points their positions make the number of the points over the line equal to the number of the points below the line</em>

From the attached graph points (1 , 9) and (8 , 3) are the best choice

∵ The line passes through points (1 , 9) and (8 , 3)

∴ x_{1} = 1 and x_{2} = 8

∴ y_{1} = 9 and y_{2} = 3

- Substitute them in the formula of the slope

∴ m=\frac{3-9}{8-1}=\frac{-6}{7}

∴ The slope of the line of best fit is \frac{-6}{7}

6 0
3 years ago
Point q is the image of Q(5, -3) after a translation down 2 units and right 4 units. What are the coordinates of Q?
Jet001 [13]

Answer:

<em>(9,-5)</em>

Step-by-step explanation:

When you go down, the number will decrease. The vertical position is the Y axis. -3-2=5.

When you go right, the number will increase. The horizontal position is the X axis. 5+4=9

<em>(9,-5)</em>

<u>Hope this helps :-)</u>

4 0
3 years ago
What is the midpoint of (2, -3) and (4, 1)
daser333 [38]

Answer:

The answer is

<h2>( 3 , - 1)</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = (  \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} )\\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(2, -3) and (4, 1)

The midpoint is

M = ( \frac{2 + 4}{2}   \: , \:  \frac{ - 3 + 1}{2} ) \\  = ( \frac{6}{2}  \: , \:  -  \frac{2}{2} )

We have the final answer as

<h3>( 3 , - 1)</h3>

Hope this helps you

8 0
3 years ago
A student is getting ready to take an important oral examination and is concerned about the possibility of having an "on" day or
Tamiku [17]

Answer:

The students should request an examination with 5 examiners.

Step-by-step explanation:

Let <em>X</em> denote the event that the student has an “on” day, and let <em>Y</em> denote the

denote the event that he passes the examination. Then,

P(Y)=P(Y|X)P(X)+P(Y|X^{c})P(X^{c})

The events (Y|X) follows a Binomial distribution with probability of success 0.80 and the events (Y|X^{c}) follows a Binomial distribution with probability of success 0.40.

It is provided that the student believes that he is twice as likely to have an off day as he is to have an on day. Then,

P(X)=2\cdot P(X^{c})

Then,

P(X)+P(X^{c})=1

⇒

2P(X^{c})+P(X^{c})=1\\\\3P(X^{c})=1\\\\P(X^{c})=\frac{1}{3}

Then,

P(X)=1-P(X^{c})\\=1-\frac{1}{3}\\=\frac{2}{3}

Compute the probability that the students passes if request an examination with 3 examiners as follows:

P(Y)=P(Y|X)P(X)+P(Y|X^{c})P(X^{c})

        =[\sum\limits^{3}_{x=2}{{3\choose x}(0.80)^{x}(1-0.80)^{3-x}}]\times\frac{2}{3}+[\sum\limits^{3}_{x=2}{{3\choose x}(0.40)^{3}(1-0.40)^{3-x}}]\times\frac{1}{3}

       =0.715

The probability that the students passes if request an examination with 3 examiners is 0.715.

Compute the probability that the students passes if request an examination with 5 examiners as follows:

P(Y)=P(Y|X)P(X)+P(Y|X^{c})P(X^{c})

        =[\sum\limits^{5}_{x=3}{{5\choose x}(0.80)^{x}(1-0.80)^{5-x}}]\times\frac{2}{3}+[\sum\limits^{5}_{x=3}{{5\choose x}(0.40)^{x}(1-0.40)^{5-x}}]\times\frac{1}{3}

       =0.734

The probability that the students passes if request an examination with 5 examiners is 0.734.

As the probability of passing is more in case of 5 examiners, the students should request an examination with 5 examiners.

8 0
2 years ago
ΔABC is dilated by a scale factor of 0.5 with the origin as the center of dilation, resulting in the image ΔA′B′C′. If A = (2, 2
r-ruslan [8.4K]
The answer is 4 units. The distance between the two points of B and C is equals 6-4=2, because the y is the same. According to the question, the BC is equals 0.5*B'C'. So the length of B'C' is 2/0.5=4 units.
3 0
3 years ago
Read 2 more answers
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