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uysha [10]
2 years ago
13

There is a red, orange, yellow, green, blue, and purple card placed in a box. (six total, one of each color). You are asked to r

andomly choose a card, replace it in the box, and choose another card. Find P(Yellow, then Blue).
Mathematics
1 answer:
vivado [14]2 years ago
4 0

Answer:

Step-by-step explanation:

P(yellow) = 1/6

P(Blue) = 1/6

The combination in that order is 1/6 * 1/6 = 1/36

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Given the function f(x) = 3|x – 2| + 6, for what values of x is f(x) = 18?
Gwar [14]

Answer:

x = - 2, x = 6

Step-by-step explanation:

Given f(x) = 18 we require to solve

3 | x - 2 | + 6 = 18 ( subtract 6 from both sides )

3 | x - 2 | = 12 ( divide both sides by 3 )

| x - 2 | = 4

The absolute value function always returns a positive value, however, the expression inside can be positive or negative, thus

x - 2 = 4 ( add 2 to both sides )

x = 6

OR

- (x - 2) = 4

- x + 2 = 4 ( subtract 2 from both sides )

- x = 2 ( multiply both sides by - 1 )

x = - 2

As a check substitute these values into the left side of the equation and if equal to the right side then they are the solutions

x = 6 → 3|6 - 2| + 6 = 3|4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True

x = - 2 → 3|- 2 - 2| + 6 = 3|-4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True

Hence solutions are x = - 2, x = 6

7 0
2 years ago
Read 2 more answers
Conner and Jana are multiplying (3568)(39610).
NARA [144]

Step-by-step explanation :

Dado que Conner y Jana se multiplican (3568)(39610). El trabajo de Conner El trabajo de Jana (3568)(39610) = 35 + 968 + 10 = 314618 (3568)(39610) = 35⋅968⋅10 = 345680 ¿Es correcto cualquiera de ellos?

Jana y Conner están multiplicando dos números dados. Así que la pregunta es

                                 3568 x 39610

                                  0000

                                3568x

                            21408xx

                          32112xxx

                        10704xxxx

                --------------------------------------

                           141328480

Así que la respuesta correcta es 141328480.

También los números se pueden agrupar como

      3568 = 3000 + 500 + 60 + 8

    39610 = 30000 + 9000 + 600 + 10

Después de agrupar multiplicando ambos términos obtenemos la respuesta requerida.

Así que ninguno de los dos tiene la respuesta correcta.

5 0
3 years ago
Read 2 more answers
Find all zeros of the polynomial function. g(x) = x^4 + 2x^3 + 7x^2 + 2x - 8
tester [92]

Answer:

x≈−

1.32047132, 0.82496696

Step-by-step explanation:

6 0
3 years ago
Suppose Tommy walks from his home at (0, 0) to the mall at (0, 8), and then walks to a movie theater at (6, 8). After leaving th
stiv31 [10]

Answer:

He walks 28 blocks.

Step-by-step explanation:

0,0 to 0,8 is 8 blocks

0,8 to 6,8 is 6 blocks

6,8 to 6,0 is 8 blocks

returning home (6,0 to 0,0) is 6 blocks

8+6+8+6=28 blocks

6 0
3 years ago
The nature park has a pride of 7 adult lions and 4 cubs. The adults eat 6 pounds of meat each day and the cubs eat 3 pounds. Eva
ohaa [14]
54 remember to use pemdas
7 0
3 years ago
Read 2 more answers
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