A dance school has 54 students who learn salsa, and 23 of those students also learn ballet. There are 15 students who do not learn salsa but learn ballet, and 10 students do not learn either salsa or ballet. Which table best shows the conditional relative frequency of rows for the data? Learn salsa Do not learn salsa Total Learn ballet 0.29 0.19 1 Do not learn ballet 0.39 0.13 1 Total 0.68 0.32 1 Learn salsa Do not learn salsa Total Learn ballet 0.61 0.39 1 Do not learn ballet 0.76 0.24 1 Total 0.68 0.32 1 Learn salsa Do not learn salsa Total Learn ballet 0.43 0.60 1 Do not learn ballet 0.57 0.4 1 Total 0.68 0.32 1 Learn salsa Do not learn salsa Total Learn ballet 0.23 0.15 1 Do not learn ballet 0.31 0.10 1 Total 0.54 0.25 1

Answer:

¿Cuántos DVD de cada tipo debe fabricar y vender para que la utilidad sea máxima?

Se debe fabricar y vender 20 DVD del modelo A y 30 DVD del modelo B. La utilidad máxima es de de S/. 1 800

Step-by-step explanation:

x : Número de DVD del modelo A

y : Número de DVD del modelo B.

                               MODELO A MODELO B TOTAL

Cantidad de caucho                  1x 1x                 50 kg.

Horas de mano de obra           1x 2x                 80 horas

U : Utilidad mensual.

La función objetivo, que se debe maximizar, es:

U=30   + 40y

x+ y [tex]\leq 50\\[/tex]  

x + 2y [tex]\leq 80[/tex]

x[tex]\geq 0[/tex]

y[tex]\geq 0[/tex]

Las coordenadas de los vértices de la región factibles son:

A (0, 0) B (50, 0) C (20, 30) D(0, 40)

Entonces, se evalúa la función objetivo en cada punto:

U (0, 0) = 30 (0) + 40 (0) = 0

U (50, 0) = 30 (50) + 40(0) = 1500

U (90, 0) = 30 (20) + 40 (30) = 1800

U (0, 40) = 30 (0) + 40 (40) =1600

Por consiguiente U tiene un valor máximo en C , en donde: x =20 ,  y = 30 .

Se debe fabricar y vender 20 DVD del modelo A y 30 DVD del modelo B. La utilidad máxima es de de S/. 1 800.

 30 x  40 y

s.a.



   x  0 (3)

  y  0 (4)

Answer:

equal to 120

3p+2c is equal to 120 and graph the solution.

Answer:

19

Step-by-step explanation:

Given

a - 6 = 13

a = 13 + 6

a = 19

Hope it will help :)

Answer:

5

Step-by-step explanation:

5

Answer:

3--1/-2-4=4/-6=2/-3

y=-2/3x+b

-2*-2/3=4/3

3-4/3=5/3

y=-2/3x+5/3

Step-by-step explanation:

Answer:

[tex]\displaystyle y=-\frac{2}{3}x+\frac{5}{3}[/tex]

Step-by-step explanation:

We want to find the equation of the line that passes through the two points:

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

First, we will find the slope of the two points. So:

[tex]\displaystyle m=\frac{3-(-1)}{-2-4}=\frac{4}{-6}=-\frac{2}{3}[/tex]

Now, we will use the point-slope form given by:

[tex]y-y_1=m(x-x_1)[/tex]

Use either point. I'm going to use (4, -1). So, substitute:

[tex]\displaystyle y-(-1)=-\frac{2}{3}(x-(4))[/tex]

Simplify and distribute:

[tex]\displaystyle y+1=-\frac{2}{3}x+\frac{8}{3}[/tex]

Subtract 1 from both sides. Therefore:

[tex]\displaystyle y=-\frac{2}{3}x+\frac{5}{3}[/tex]

Answer:

kiloliters

Step-by-step explanation:

The amount of water a family uses in a year is a large amount of water - more than the amount of water in a pool! This means kiloliters would be the best unit of measurement.

Answer:

0

Step-by-step explanation:

Hi there!

Let think about this...

-6.3-6.3=h

h+6.3=-6.3

negative plus positive is negative...

h=negative number..

6.3+6.3=12.6 add a negative point=-12.6

Final Result: -12.6

Answer:

6a and a(2*3) and 2(a+2a)

Step-by-step explanation:

2*3a=6a

Answer:

D

Step-by-step explanation:

Answer:

D is ur answer

Step-by-step explanation:

Bye

Answer:

valid

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

3x - 10 = 2 | Given

3x = 12 | Add 10 to both sides to isolate 3x

x = 4 | Divide both sides by 3 to get the value of x

Answer:

4

Step-by-step explanation:

3x - 10 = 2

add

3x = 12

divide

x = 4

Answer:

65

Step-by-step explanation:

Using Pythagorean we can say = 33^2 + 56^2 = hypotenus^2

so 1089 + 3136 = 4225

and 4225 rooted = 65

Answer:

65.

You would have to use the Pythagorean theorem in order to find the Hypotenuse (Side that is missing)

Step-by-step explanation:

The equation is:

C = a^2 + b^2 - square root of the answer.

So it would be set up like this.

56^2 = 3136

33^2 = 1089

1089 + 3136 = 4225.

The square root of 4225 is 65.

Thus, 65 is the answer.

Hope this helps!

Answer:

Efx=2300 may be it would help : )

Step-by-step explanation:

To find that u have to :

mass mid value(x) Number..(f) fx

10-29 19 32 608

30-39 9 38 342

40-49 9 64 576

50-59 9 35 315

60-69 9 22 198

70-99 29 9 . 261

Efx=2300

Answer:

2

Step-by-step explanation:

8/4=2

have a good day..

Answer:

6x+2

6y+3

9+10

36+40

19+14

Sorry if this is wrong I recently learned this

Answer:

[tex]x^2 +4x - 32[/tex]

Step-by-step explanation:

By FOIL method, [tex](x-4)(x+8) = x \cdot x + x \cdot 8 + -4 \cdot x + -4 \cdot 8 = x^2 +4x - 32.[/tex]

Answer:

Step-by-step explanation:

[tex]\cos(30^o)=\dfrac{\sqrt3}2[/tex]

From triangle: [tex]\cos(30^o)=\dfrac x2[/tex]

Therefore:

            [tex]\dfrac x2=\dfrac{\sqrt3}{2}\\\\x=\sqrt3[/tex]

Answer:

y = 3 cm

Step-by-step explanation:

We'll begin by calculating the value of x. This can be obtained as follow:

2x + 6 = 5x – 9 (opposite side of rectangle are equal)

2x + 6 = 5x – 9

Collect like terms

6 + 9 = 5x – 2x

15 = 3x

Divide both side by 3

x = 15 / 3

x = 5 cm

Next, we shall determine the length of the rectangle. This can be obtained as follow:

L = 2x + 6

x = 5 cm

L = 2(5) + 6

L = 10 + 6

L = 16 cm

Finally, we shall determine the value of y. This can be obtained as follow:

Length (L) = 16 cm

Width (W) = y =?

Area (A) = 48 cm²

A = L × W

48 = 16 × y

Divide both side by 16

y = 48 / 16

y = 3 cm

Answer:

y = (x+2)²-2

Step-by-step explanation:

Use the vertex form y = a(x-h)²+k. Plug in the vertex for h and k. Solve for a and you will get 1 for that value. You can check your answers by plugging in both of those points to make sure.

Answer:

A

Step-by-step explanation:

(-2,5)

read the X axis and then y axis

Answer:

50 ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

x=5[tex]\sqrt{2}[/tex] because it is an isosceles right triangle , as we have and angle of 45 and one of 90

y is the hypothenuse of the triangle

y^2=(5[tex]\sqrt{2}[/tex])^2+(5[tex]\sqrt{2}[/tex])^2=50+50=100

y=10

the larger triangle is 30-60-90

side opposite of 90 degrees is 2y

r=20

side opposite of 60 degrees is y[tex]\sqrt{3}[/tex]

z=10[tex]\sqrt{3}[/tex]

Answer:

the answer is 200 mph because you take and divide the 400 miles by 20 mph

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

It's answer is

y = 4x - 6

if x = - 1 Then

y = 4 * (- 4 ) - 6 = - 10

if x = 0

y = 4 * 0 - 6 = - 6

if x = 1

y = 4 * 1 - 6 = - 2

if x = 2

y = 4 * 2 - 6 = 2

hope it will help :)❤

Answer: 254.714285714 or rounded to 255

Step-by-step explanation:

Have a good day:)

Answer:

254.71

Explanation:

5349 / 21 = 254.71

Answer:

27

Step-by-step explanation:

x = 9

3 x 9 = 27

there isn't an answer since all the letters are different and you can't add or subtract or do anything to uncommon values. 3x+x = 4x but u can't do 3x +y because they're not in common

Answer:

2/3 is quotient.

Step-by-step explanation:

2/3÷4/5=(2×5)/(3×4)=10/12=5/6

Answer:

quotient

Step-by-step explanation:

If it is a divison problem your answer will be a quotient.

Answer:

m = -2

Step-by-step explanation:

y = -2x - 3