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Leviafan [203]
2 years ago
14

How many solutions does the equation −3y + 3y + 4 = 4 have?

Mathematics
2 answers:
Musya8 [376]2 years ago
6 0
Infinitely many solutions is the answer : D
suter [353]2 years ago
5 0
Im pretty sure it is one because it has to equal 4 everytime and so far it only work once
You might be interested in
The equation y=2x represents a set of data. Which statement is not true?
Sonja [21]

Answer:

Option D is correct

The initial value is 2

Step-by-step explanation:

The equation of line passes through the origin is represented by:

y = mx where m is the slope or unit rate .

Direct Proportionality says that:

if y \propto x then the equation of the form is y = kx where k is the constant of proportionality.

Given the equation: y = 2x

Then by definition:

m = 2

⇒ Slope on the line is 2.

⇒ the unit rate is 2.

Also, the constant of proportionality is 2.

Therefore, the statement which is not true for the equation y=2x represents a set of data is: The initial value is 2

7 0
2 years ago
Read 2 more answers
Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well
laiz [17]

Answer:

The  value is  P(A) =  0.133617

Step-by-step explanation:

From the question we are told that

  The  mean is  \mu =  7.5

  The standard deviation is  \sigma  =  0.2

  The safest water level is  between  7.2 and  7.8

Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as

       P(A) =  1 - P(7.2 \le X  \le 7.8 )

Here  

      P(7.2 < X  < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } <  \frac{X - \mu }{ \sigma }

Generally \frac{X - \mu }{ \sigma } =  Z (The  \ standardized \  value  \  of  X )

So

 P(7.2 < X  < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z    

 P(7.2 < X  < 7.8 ) = P(-1.5 < Z  

=>  P(7.2 < X  < 7.8 ) = P(Z <  1.5) - P(  Z < - 1.5)

From the z-table the probability of  (Z <  -1.5) and   (  Z <1.5)  are

    P(Z <  1.5) =  0.93319

and  

    P(Z <  -1.5) =  0.066807

So

      P(7.2 < X  < 7.8 ) =0.93319 - 0.066807

       P(7.2 < X  < 7.8 ) =0.0866383

So

   P(A) =  1 - 0.0866383

=>  P(A) =  0.133617

5 0
1 year ago
The elevations of three cities in the Netherlands are shown below. Which comparison is true?
Lilit [14]

The correct answer is "Amsterdam is the same distance from sea level as Drachten."  Each is two meters from sea level; Amsterdam is 2 meters under, Drachten two meters over.

8 0
2 years ago
The frequency distribution of weights (in kg) of 40 persons is given below.
gregori [183]

Answer: (a) 4

(b) 5

(c) 14

(d)

Class interval       Class mark

30 - 35                       \dfrac{35+30}{2}=32.5

35 - 40                       \dfrac{35+40}{2}=37.5

40 - 45                        \dfrac{40+45}{2}=42.5

45 - 50                        \dfrac{45+50}{2}=47.5

50 - 55                        \dfrac{50+55}{2}=52.5

Step-by-step explanation:

The data of 40 persons is given as :

Weights (in kg)    Frequency

30 - 35                  6

35 - 40                   13

40 - 45                   14

45 - 50                   4

50 - 55                  3

(a)

<em>Lower limit is the lowest number in a class interval .</em>

So, is the lower limit of fourth-class interval (45 - 50) is 4.

(b)

<em>Class size = Upper limit - lower limit </em>

So, Class size of first class interval = 35-30=5

Thus , class size of each interval is 5. [ class size remains same]

(c)

Highest frequency in table = 14 which is corresponding to 40 - 45   .

Thus , 40 - 45  is the class interval has the highest frequency.

(d)

<em>Class mark is the mid value of each class interval.</em>

<em>Class interval = </em>\dfrac{(\text{Upper limit+Lower limit})}{2}

Class interval       Class mark

30 - 35                       \dfrac{35+30}{2}=32.5

35 - 40                       \dfrac{35+40}{2}=37.5

40 - 45                        \dfrac{40+45}{2}=42.5

45 - 50                        \dfrac{45+50}{2}=47.5

50 - 55                        \dfrac{50+55}{2}=52.5

8 0
2 years ago
Jake, Lionel, and Wayne work as house painters for Paint Well Company. Jake can paint 1 room in t hours. Lionel can paint a room
34kurt
Hours to paint one room 
<span>Jake: t hours </span>
<span>Lionel: t-2 hours </span>
<span>Wayne: (1.5)(t-2) hours </span>

<span>Now who is Donald? </span>

<span>Shall we assume that by "Donald" you meant "Wayne"? </span>

<span>If t is 6 hours, then the hours to paint one room is </span>
<span>Jake: 6 hours </span>
<span>Lionel: 4 hours </span>
<span>Wayne: 6 hours </span>
<span>This means that in one hour: </span>
<span>Jake can paint 1/6 of a room, </span>
<span>Lionel can paint 1/4 of a room, </span>
<span>Wayne can paint 1/6 of a room. </span>
<span>Added together, the three of them can paint (1/6 + 1/4 + 1/6) = 7/12 of a room in one hour.</span>
7 0
2 years ago
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