2.



What is the difference between the lower quartile rainfall of Florida and the lower quartile rainfall of Pennsylvania?

Answer:

R = (-3, 8).

Step-by-step explanation:

Recall the midpoint formula:

[tex]\displaystyle M=\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)[/tex]

Where M is the midpoint, (x₁, y₁) is one point and (x₂, y₂) is another.

We are given that Q is the midpoint of PR, where P = (11, -2) and Q = (4, 3) and we want to find the coordinates of R.

Substitute Q for M and let P(11, -2) be (x₁, y₁). Hence:

[tex]\displaystyle (4, 3)=\left(\frac{11+x_2}{2}, \frac{-2+y_2}{2}\right)[/tex]

Split into two separate equations:

[tex]\displaystyle \frac{11+x_2}{2}=4\text{ and } \frac{-2+y_2}{2}=3[/tex]

Solve for each case:

[tex]\displaystyle 11+x_2=8\Rightarrow x_2=-3[/tex]

[tex]\displaystyle -2+y_2=6\Rightarrow y_2=8[/tex]

Therefore, our second point (x₂, y₂) is (-3, 8).

Hence, R = (-3, 8).

Answer:

(15/2),(1/2)

Step-by-step explanation:

(x1 + x2 / 2)  ,   (y1 + y2) / 2)

(11 + 4 / 2) , (-2 + 3 / 2)

(15/2) , (1/2)

Answer

6x<-12

Step-by-step explanation:

Answer:

There would be 2 answers in this case:

C. 6x > 32

and

D. 21 + x < 28

Step-by-step explanation:

A. Incorrect

6-13 = -7, and -7 is NOT greater than 7

B. Incorrect

6(6) = 36, and 36 is NOT less than -12.

C. Correct

6*6 = 36, which is greater than 32.

D. Correct

21+6 = 27, which is less than 28.

GCF=4

4(4x^2/4+-28x/4+-32f/4)

=4(x^2-7x-8f)

Hello,

[tex]4x^2-28x-32\\\\=4(x^2-7x-8)\\\\=4(x^2-8x+x-8)\\\\=4[x(x-8)+1(x-8)]\\\\=4(x-8)(x+1)\\[/tex]

Answer:

Supongo que la pregunta completa es:

"Una recta pasa por los puntos A(-4, 0) y B(2, -3)"

Luego dice "calcular su área", pero una recta es un elemento unidimensional (los cuales no tienen área, el área es un concepto bidimensional).

Por lo que el área de esta recta no está definida.

Ignorando esto, podemos encontrar la ecuación que define a nuestra recta.

Sabemos que una recta se escribe como:

y = a*x + b

donde a es la pendiente y b es la ordenada al origen.

Sabemos que para una recta que pasa por los puntos (x₁, y₁) y (x₂, y₂), la pendiente será:

a = (y₂ - y₁)/(x₂ - x₁)

Entonces, para nuestra recta que pasa por los puntos (-4, 0) y (2, - 3) la pendiente será:

a = (-3 - 0)/(2 - (-4) )

a = -3/6 = -1/2

Entonces nuestra línea es algo como:

y = (-1/2)*x + b

para encontrar el valor de b, usamos el hecho de que esta línea pasa por el punto (2, -3)

esto significa que cuando x = 2, tenemos que tener y = -3

reemplazando esos dos valores obtenemos

-3 = (-1/2)*2 + b

-3 = -1 + b

-3 + 1 = b

-2 = b

La ecuación que define a esta recta es:

y = -(1/2)*x  - 2

Nuevamente, el área de esta recta no está definida, por lo que no podemos calcular el área de esta recta.

Answer: meh

Meh

Step-by-step explanation:

Answer: Personally I would do option "B" 2 1/3 because it sounds right.

Answer:

2400

Step-by-step explanation:

2244 is the final price. it includes the VAT based on the actual sale price. and that is then actually 15% lower than the originally marked price.

so, let's calculate backwards :

2244 = 100% sale price + 10% VAT = 110%

1% = 2244 / 110 = 20.40

100% (actual sale price) = 20.40×100 = 2040

now, because of the 15% discount, these 2040 are only 85% of the originally marked price.

2040 = 85%

1% = 2040 / 85 = 24.00

100% (the original marked price) = 24×100 = 2400

Answer:

The first option

Step-by-step explanation:

[tex]4x + 5y - 34 = 0[/tex]

Answer:

Rs4000

Step-by-step explanation:

Given data

Step one

Selling price =RS 4444

Gain =rs444

Cost price =???

We want to find the cost price

Cost price =selling price - gain

Cost =4444-444

Cost=Rs4000

Answer:

Answer:

3/5

Step-by-step explanation:

Remember that odds for plus odds against must be 1. Therefore, 20 out of 50 of the DVRs are defective, so 30 out of 50 would work.

30/50

simplifies into 3/5 so that would be the probability of you picking out a DVR that works, and the probability of picking one that does not work would be the leftover 2/5 . Or, if you're answering with a percent, you would have a 60% chance of picking a working DVR.

I hope this helps, I know the explanation isn't really clear, but I can't really think of another way to explain it.

Answer:

1st one

Step-by-step explanation:

Answer:

60162.3214286

Step-by-step explanation:

that's just what my calculator said

Answer:

3

Step-by-step explanation:

Answer:

3 dimes 1 nickel

Step-by-step explanation:

1 dime = 10 cents

3×1 dime = 30 cents

1 nickel = 5 cents

3 dimes + 1 nickel

= 30 cents + 5 cents

= 35 cents

Hello,

there are 20 combinations making a total of 35 cents

In qb64

Dim p As Integer, n As Integer, d As Integer, s As Integer, nb As Integer

nb = 0

For p = 0 To 35

   For n = 0 To 7

       s = 1 * p + 5 * n

       If s < 36 Then

           For d = 0 To 3

               s = p + 5 * n + d * 10

               If s = 35 Then

                   nb = nb + 1

                   Print nb, p; n; d

               End If

           Next d

       End If

   Next n

Next p

End

Answer:

b

Step-by-step explanation:

Answer:

i dont see a diagram ?

Step-by-step explanation:

Answer:

AC is greater than BC because segment AC is the hypotenuse of right triangle ABC, and the hypotenuse is the longest side of a right triangle.

Answer:

y=2x

Step-by-step explanation:

Answer:

- [tex]\frac{17}{15}[/tex]      -1 [tex]\frac{2}{15}[/tex] , 1.13

Step-by-step explanation:

Answer:

7 students

Step-by-step explanation:

1+2+4=7students

Multiply the rate per quarter hour by quarter hours: 250g. This then gets added to the starting temperature of 2300

The answer would be : A. T = 250g + 2300

Answer:

18 seconds

Step-by-step explanation:

5x9=45 so 2x9=18

Answer:

Step-by-step explanation:

Is there an image to see?

Answer:

40°

Step-by-step explanation:

As sum of angles of the triangle is 180°

therefore the third angle will be 180 -( 75 + 65)=40°

x=40°= vertically opposite angle

Answer:

x = 40°

Step-by-step explanation:

a + 65 + 75 = 180  {Angle sum property}

a + 140 = 180

     a = 180 - 140

    a = 40

x = a  {Vertically opposite angles}

x = 40°

Answer:

8

Step-by-step explanation:

Find 1/3 of 24, which is 8.

Answer:

Sam gave 8 balls to Rita.

Step-by-step explanation:

24 / 3 = 8

1/3 of 24 is 8, therefore Sam gave 8 balls to Rita.

Given:

AB formed by (-2,13) and (0,3).

CD formed by (-5,0) and (10,3).

To find:

Whether the segments AB and CD are parallel, perpendicular, or neither.

Solution:

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

AB formed by (-2,13) and (0,3). So, the slope of AB is:

[tex]m_1=\dfrac{3-13}{0-(-2)}[/tex]

[tex]m_1=\dfrac{-10}{2}[/tex]

[tex]m_1=-5[/tex]

CD formed by (-5,0) and (10,3). So, slope of CD is:

[tex]m_2=\dfrac{3-0}{10-(-5)}[/tex]

[tex]m_2=\dfrac{3}{10+5}[/tex]

[tex]m_2=\dfrac{3}{15}[/tex]

[tex]m_2=\dfrac{1}{5}[/tex]

Since [tex]m_1\neq m_2[/tex], therefore the segments AB and CD are not parallel.

[tex]m_1\times m_2=-5\times \dfrac{1}{5}[/tex]

[tex]m_1\times m_2=-1[/tex]

Since [tex]m_1\times m_2=-1[/tex], therefore the segments AB and CD are perpendicular because product of slopes of two perpendicular lines is always -1.

Hence, the segments AB and CD are perpendicular.

Answer:

AB is perpendicular to CD.

Step-by-step explanation:

AB formed by (-2, 13) and (0, 3)

CD formed by (-5, 0) and (10, 3)

Slope of a line passing through two points is

[tex]m= \frac{y''-y'}{x''- x'}[/tex]

The slope of line AB is

[tex]m= \frac{3- 13}{0+2} = -5[/tex]

The slope of line CD is

[tex]m'= \frac{3 -0 }{10+5} = \frac{1}{5}[/tex]

As the product of m and m' is -1 so the lines AB and CD are perpendicular to each other.