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Marysya12 [62]
3 years ago
13

Which equation represents a proportional relationship between the x and y values?

Mathematics
1 answer:
Jet001 [13]3 years ago
8 0

Answer:

Step-by-step explanation:

A proportional relationship is depicted by the changes in one variable with respect to the other.

Let us test the values

Assume x = 2, 3 and 4 for all options

A) y + 4 = 3x,

y= 3x - 4

If x = 2, y = 2

if x = 3, y = 5

If x = 4, y = 8

B) y − 3x = 0

y = 3x

If x = 2, y = 6

If x= 3, y = 9

If x = 4 , y = 12

C) y + 5x = 6

y = 6-5x

If x = 2, y = -4

If x = 3, y = -9

If x = 4, y = -14

D) y + 1/4x = 2

y = 2 - 1/4x

If x = 2, y = 15/8

If x = 3, y = 23/12

If x = 4, y = 31/16

equations B and C represents a proportional relationship between the x and y values. A change in x always results to a corresponding and proportional change in y

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I need to step-by- step ways on how this is or isn’t a solvable equation. Please HELP
Darya [45]

Answer:

it is a solvable equation

Step-by-step explanation:

(x + 2) -3(x - 4) = 6 and x = 4

if x = 4 then fill in all the x's with 4 so the equation is now:

(4 + 2) -3(4 - 4) = 6

Use PEMDAS

Now the equation is 6 - 3(0) = 6

-3 times 0 is 0 so it's 6-0=6

6 = 6

when you put the 4 in for the x variables and the numbers on both sides of the equal sign are the same it makes the equation true

hope this makes sense and hope it helps :)

3 0
3 years ago
The accompanying data represent the daily​ (for example, Monday to​ Tuesday) movement of Johnson​ & Johnson​ (JNJ) stock for
egoroff_w [7]

Supposing that the stock increases in 37 days, the 95% confidence interval for the proportion of days JMJ stock increases is: (0.484, 0.7292)

  • The lower bound is of 0.484.
  • The upper bound is of 0.7292.
  • The interpretation is that we are <u>95% sure that the true proportion</u> of all days in which the JMJ stock increases <u>is between 0.484 and 0.7292.</u>

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of \frac{1+\alpha}{2}.

Supposing that it increases on 37 out of 61 days:

n = 61, \pi = \frac{37}{61} = 0.6066

95% confidence level

So \alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so z = 1.96.  

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6066 - 1.96\sqrt{\frac{0.6066(0.3934)}{61}} = 0.484

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6066 + 1.96\sqrt{\frac{0.6066(0.3934)}{61}} = 0.7292

The ​95% confidence interval for the proportion of days JMJ stock increases is (0.484, 0.7292), in which 0.484 is the lower bound and 0.7292 is the upper bound.

The interpretation is that we are <u>95% sure that the true proportion</u> of all days in which the JMJ stock increases <u>is between 0.484 and 0.7292.</u>

A similar problem is given at brainly.com/question/16807970

4 0
3 years ago
Consider this expression.
USPshnik [31]

Answer:

-16

Step-by-step explanation:

m^2 + n^2

-5^2 + 3^2 = -16

5 0
2 years ago
If mZMNO = 95°, mZADC = 101°, and mZMLO = 80°, then what is m/ABC, in degrees?
dem82 [27]

Answer:

This is your answer.

Step-by-step explanation:

There are different kinds of angles:

Angles below 90= Acute

90= Right

91–179= Obtuse

180= Straight Angle

181–359= Reflex Angle

360= Complete Angle or Circle.

Because 80 degrees is less than 90 degrees, Angle ABC is an acute angle.

8 0
2 years ago
Which of the following is equal to the length of the major axis of an ellipse?
kakasveta [241]

Answer:

It's A.

Step-by-step explanation:

The length of the major axis is a + b where a and b are the distances from each focus to any point on the ellipse.

6 0
3 years ago
Read 2 more answers
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