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MissTica
4 years ago
13

You roll a number cube. Find P(5, then 4, then 6)

Mathematics
2 answers:
Harlamova29_29 [7]4 years ago
8 0
To roll a 5 that probability is 1/6. The same probability for 4 and 6. So multiply 1/6 times 1/6 times 1/6 you get the probability which is 1/216. Hope this helps
laila [671]4 years ago
7 0
There is a 1/6 chance of rolling a 5, a 1/6 chance of rolling a 4, and a 1/6 chance of rolling a 6. All three numbers have to be rolled in a row for the criterion to be met.

To find the probability of rolling these three numbers specifically in a row, we must multiply the individual probabilities together:

\frac{1}{6} \times \frac{1}{6} \times \frac{1}{6} = \frac{1}{216}

The probability of rolling a 5, then a 4, then a 6, is 1/216, or one in two hundred and sixteen times.
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Line j has a slope of − 2. Line d is perpendicular to line j and passes through the point( − 8 , 3 ).  Write the equation for
Zina [86]

Answer:

The equation is: y = 1/2x + 7

Step-by-step explanation:

The slope of j is -2. The slope of a line perpendicular to line j has a negative inverse: 1/2. The point is (-8, 3).

Use the point slope form of the equation:

y - y1 = m(x - x1)

Substitute:

y - 3 = 1/2(x - (-8))

y - 3 = 1/2x + 4

y = 1/2x + 4 + 3

y = 1/2x + 7

Proof:

Solve for f(x) when x = -8.

f(x) = 1/2x + 7

f(-8) = 1/2(-8) + 7

= -8/2 + 7

= -4 + 7

= 3, giving the point (-8, 3)

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