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Leya [2.2K]
2 years ago
12

A six sided die is rolled three times. Find the probability that the result is an even number for every roll.

Mathematics
1 answer:
bogdanovich [222]2 years ago
4 0

|\Omega|=6^3\\|A|=3^3\\\\P(A)=\dfrac{3^3}{6^3}=\left(\dfrac{3}{6}\right)^3=\left(\dfrac{1}{2}\right)^3=\dfrac{1}{8}=12.5\%

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Which relation is a function? (look at image below)
Dimas [21]

Answer:

Bottom Right Graph (Absolute Value)

General Formulas and Concepts:

  • Vertical Line Test

Step-by-step explanation:

When we apply the VLT to the 4 different graphs, we see that the only graph that actually passes the VLT is the absolute value graph. Therefore, that is our answer (none of the other graphs pass the VLT).

5 0
3 years ago
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Answer:

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Step-by-step explanation:

6 0
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mixer [17]

Answer:

b^2√30b

Step-by-step explanation:

√30b^5 - Original

Break down the radical with its factors (factor tree)

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4 0
2 years ago
There are values of t so that sin t=.35 and cos t=.6
NISA [10]

Recall the fundamental rule of trig:

\sin^2(x)+\cos^2(x)=1 \quad\forall x \in \mathbb{R}

So, there exists an angle t such that

(0.6,0.35)=(\sin(t),\cos(t))

if and only if

\sin^2(t)+\cos^2(t)=0.6^2+0.35^2=1

Working out the numbers, we get

0.6^2+0.35^2=0.36+0.1225=0.4825\neq 1

So, there doesn't exist a number t such that

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7 0
3 years ago
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sukhopar [10]

Answer:

93

Step-by-step explanation:

7 0
3 years ago
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