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Sliva [168]
3 years ago
12

A fair 6-sided die is rolled 4 times and the resulting sequence of 4 numbers is recorded. How many different sequences consist e

ntirely of even numbers
Mathematics
1 answer:
Charra [1.4K]3 years ago
7 0

Answer:

81

Step-by-step explanation:

Rolling 6-sided fair die you can throw out three even numbers: 2, 4, 6.

If a fair 6-sided die is rolled 4 times, then each of 4 times each of three even numbers can be thrown out. Then the number of different sequences that consist entirely of even numbers is

3\cdot 3\cdot 3\cdot 3=3^4=81.

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Answer:

x = -6

Step-by-step explanation:

3/ x = 4/(x-2)

Using cross products

3 (x-2) = 4x

Distribute

3x - 6 = 4x

Subtract 3x from each side

3x-3x-6 = 4x-3x

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3 years ago
Please tell me the answer and HOW you got them.
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3 years ago
Slove the equation V=(20-2x)(15-2x)(x) for V
Schach [20]

Answer:

V = 300x + -70x2 + 4x3

Step-by-step explanation:

Simplifying

V = (20 + -2x)(15 + -2x)(x)

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Multiply (20 + -2x) * (15 + -2x)

V = x(20(15 + -2x) + -2x * (15 + -2x))

V = x((15 * 20 + -2x * 20) + -2x * (15 + -2x))

V = x((300 + -40x) + -2x * (15 + -2x))

V = x(300 + -40x + (15 * -2x + -2x * -2x))

V = x(300 + -40x + (-30x + 4x2))

Combine like terms: -40x + -30x = -70x

V = x(300 + -70x + 4x2)

V = (300 * x + -70x * x + 4x2 * x)

V = (300x + -70x2 + 4x3)

Solving

V = 300x + -70x2 + 4x3

Solving for variable 'V'.

Move all terms containing V to the left, all other terms to the right.

Simplifying

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6 0
3 years ago
Last week, the members of a weight loss support group collectively weighed 2,900 pounds. They just weighed in again and are now
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Answer:

2,784 lbs

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29*4=116 (that is 4% of 2900; how much weight they lost)

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2 years ago
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Answer:

The cost for 20 students would be $120

Step-by-step explanation:

We know that 4x5=20 therefore we will multiply 30x4 which will give us 120.

Our final answer would be $120

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