Is the following equation proportional or non-proportional?

y = -4x - 3

Answer:

0.042341

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ/n, where

x is the raw score = 20 mpg

μ is the population mean = 21 mpg

σ is the population standard deviation = 2.9

n = random number of samples

Hence:

For x < 20

= z = 20 - 21/2.9/√25

= z = -1/2.9/5

= z = -1.72414

P-value from Z-Table:

P(x<20) = 0.042341

The probability that the mean mpg for a random sample of 25 light vehicles is Under 20 mpg is 0.042341

The probability that the mean mpg for a random sample of 25 light vehicles is 0.042341

Here we used z score formula

So,

For x < 20

= z = 20 - 21/2.9/√25

= z = -1/2.9/5

= z = -1.72414

Now

P-value from Z-Table:

P(x<20) = 0.042341

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Answer:

EF = 8.8 cm

Step-by-step explanation:

In the given right angled ΔDEF, DE is the hypotenuse while EF and DF are adjacent sides. So that applying the Pythagoras theorem, we have;

[tex]/hyp/^{2}[/tex] = [tex]/adj1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]

[tex]/DE/^{2}[/tex] = [tex]/EF/^{2}[/tex] + [tex]/DF/^{2}[/tex]

[tex]/16.2/^{2}[/tex] = [tex]/EF/^{2}[/tex] + [tex]/13.6/^{2}[/tex]

262.44 = [tex]/EF/^{2}[/tex] + 184.96

[tex]/EF/^{2}[/tex] = 262.44 - 184.96

          = 77.48

EF = [tex]\sqrt{77.48}[/tex]

     = 8.8023

EF = 8.8 cm

The length of side EF is 8.8 cm.

Answer: true

Step-by-step explanation: cuz

Answer:

False

Step-by-step explanation:

Answer:

8 7/99, Decimal. (8.07 repeated)

Step-by-step explanation:

Step-by-step explanation:

Hey there!

Given;

[tex] = (x - 4)( {x}^{2} + 2x - 5)[/tex]

[tex] = x( {x}^{2} + 2x - 5) - 4( {x}^{2} + 2x - 5)[/tex]

[tex] = {x}^{3} + 2 {x}^{2} - 5x - 4 {x}^{2} - 8x + 20[/tex]

[tex] = {x}^{3} - 2 {x}^{2} - 13x + 20[/tex]

Therefore, Option D is correct answer.

Q.no.

Given;

[tex] =( 4 {x}^{3} + 9xy + 8y) - (3 {x}^{3} + 5xy - 8y)[/tex]

[tex] = 4 {x}^{3} + 9xy + 8y - 3 {x}^{3} - 5xy + 8y[/tex]

[tex] = {x}^{3} + 4xy + 16y[/tex]

Therefore, answer is Option D.

Qno.

Given;

[tex]5 {x}^{2} + 29x + 20 = 0[/tex]

[tex]5 {x}^{2} + (25 + 4)x + 20 = 0[/tex]

[tex]5 {x}^{2} + 25x + 4x + 20 = 0[/tex]

[tex]5x(x + 5) + 4(x + 5) = 0[/tex]

(5x + 4)(x + 5) =0

Either (5x+4)= 0,

5x = -4

X = -4/5

Or, X+5 = 0

X = -5.

Therefore, X= -5, -4/5.

Hope it helps....

Answer:

The common factors of 9 are  1, 3, and 9.

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 38.

Answer: 0.375

Step-by-step explanation:

Answer:

120 or 120%, hope this helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

If he earns $48 dollars in 3 hours, you need to divide 48 by 3 to work out how much he makes per hour. and 48/3 = 16. So he makes $16 dollars an hour.

Answer:

16$

Step-by-step explanation:

You would have to divide the number of hours he worked for three days by the days he worked in order to find out what he would earn per hour.

This means the answer is 16 dollars per hour.

Answer:

Bullying is making fun of or hurting someone and a conflict is a disagreement that is serious

Step-by-step explanation:

Answer:

In 2008.

Step-by-step explanation:

The function:

[tex]y=4.2\sqrt{0.28x-1}[/tex]

Models the annual number of visitors to an amusement park, where y is the number of visitors (in millions) and x is the number of years since 1975.

We want to determine the first year in which the amusement park had 12 million visitors.

So, we will set y equal to 12 and solve for x. This yields:

[tex]12=4.2\sqrt{0.28x-1}[/tex]

By dividing both sides by 4.2, we acquire:

[tex]\displaystyle \frac{12}{4.2}=\frac{120}{42}=\frac{20}{7}=\sqrt{0.28x-1}[/tex]

And by squaring both sides:

[tex]\displaystyle \frac{400}{49}=0.28x-1[/tex]

Adding 1 to both sides produces:

[tex]\displaystyle \frac{400}{49}+1=\frac{449}{49}=0.28x[/tex]

And finally, dividing both sides by 0.28 gives us the approximation:

[tex]\displaystyle x=\frac{449}{49}\cdot \frac{1}{.28}=\frac{11225}{343}\approx32.72\approx33[/tex]

So, 33 years after 1975, the amusement park will have 12 million annual visitors.

Therefore, the first year in which the amusement park will have 12 million annual visitors is in the year 2008.

Answer:

Jk= 27

LM= 22

KL= 16

MJ=16

Answer:

JK=27

LM=27

KL=16

MJ=16

Step-by-step explanation:

JK=4x+7

=27

LM=5x+2

=27

KL=2y-2

=16

MJ=y+7

=16

so, JK= 27 and KL=16

(I hope u got it)

Answer:

Denpeds on the left hand side of nagetive of the inequality sign

Step-by-step explanation:

General line equation: y = mx + c, where m is the slope of the line and c is the y-intercept.

We have y = ax + b.

=> y - b = ax

=> y - b = a(x - 0).

The answer is option A.

Answer:

A

[tex]general \: equation \: of \: line \\ y = mx + c \\ from \: the \: data \: given \\ m = a \\ c = b \\ y = ax + b \\ y - b = ax \\ y - b = a(x - 0)[/tex]

Step-by-step explanation:

30% of lightbulbs = 45 lightbulbs

100% of lightbulbs

= 45 * (100/30) = 150 lightbulbs.

Hence there are 150 lightbulbs in the batch.

Answer:

23°

Step-by-step explanation:

Let the missing angle be x

Reference angle = missing angle = x

Opposite side to x = 14

Hypotenuse = 36

Applying trigonometric ratio, we have:

[tex] sin(x) = \frac{14}{36} [/tex]

[tex] x = sin^{-1}(\frac{14}{36}) [/tex]

x = 23° (to the nearest degree)

Answer:

this is true because you can divide 8/10 by 2 and you get the same number 2/5 and sorry for my english

Hi there! :)

[tex]\large\boxed{\text{ x = 9}}[/tex]

The two angles pictured are vertical angles, therefore:

8x - 6 = 6x + 12

Solve for x by subtracting 6x from both sides:

2x - 6 = 12

Add 6 to both sides:

2x = 18

Divide both sides by 2:

x = 9.

Answer:

9 is ur answer

Step-by-step explanation:

8x-6=6x+12

8x-6x=12+6

2x=18

x=9

Hope this helps u...

Answer: there is no screenshot :(

Step-by-step explanation:

Answer:

study my ___________ I hope it helps

Answer:

sorry im doing a challenge but i will have someone answer it    

Step-by-step explanation:

Answer:

LEFT

Step-by-step explanation:

Answer:

Move to the right when you're subtracting a negative number.

Answer:

Step-by-step explanation: It’s C thank me later

The equation produces the values in the table is y = x/4

Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”.

For example, 2x – 5 = 13.

Given is table (attached) we need to determine an equation that produces the values in the table,

So, seeing the value it is much that the value of x are the 4 times of the values of y,

So, we can write,

4y = x

or, y = x/4

Hence, the equation produces the values in the table is y = x/4

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Answer:

The solution to the system of equation is: (-2,3)

Step-by-step explanation:

We need to find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8

I am placing steps for each point given

1. Isolate x in the first equation:

First equation is:

x+3y=7

Isolating x:

x=7-3y

2. Substitute the value for x into the second equation:

Second equation is:

2x+4y=8

Putting value of x: x=7-3y

2(7-3y)+4y=8

3. Solve for y:

2(7-3y)+4y=8

Multiply 2 with terms inside the bracket

14-6y+4y=8

-2y=8-14

-2y=-6

y=-6/-2

y=3

So, we get value of y: y=3

4. Substitute y into either original equation:

Putting value of y: y=3 in equation 1

x+3y=7

x+3(3)=7

x+9=7

x=7-9

x=-2

So, we get value of x: x=-2

5. Write the solution as an ordered pair:

After solving the equation we get:

x = -2 and y = 3

The ordered pair is: (-2,3)

Answer:

-2,3

Step-by-step explanation:

Isolate x in the first equation:

Substitute the value for x into the second equation:

Solve for y

Please give me brainiest

Answer:

hope my answer is helpful to you

plz mark me as brainlist and also follow me

As QR is parallel to ST Rs is parallel TU QS is congruent to SU the measure of their included angle is also same ∠QRS ≅ ∠STU.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

Given, Line segment QR is parallel to line segment ST.

Line segment RS is parallel to line segment TU, And line segment QS is similar to line segment SU.

So, The included angle of two pairs of parallel lines will also be the same as

line segment QS is similar to line segment SU.

∴ ∠QRS is similar to ∠STU.

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The proper way to write this sentence would be:

If it is Monday then there is chicken for lunch.

May I have brainliest please? :)