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9966 [12]
3 years ago
13

Betty has several of the standard six-sided dice that are common in many board games. If Betty rolls one of these dice, what is

the probability that: She rolls a three. (enter the answer as a percent rounded to the nearest tenth as needed)
Mathematics
1 answer:
pashok25 [27]3 years ago
4 0

Answer:

16.7%

Step-by-step explanation:

Each of the six faces of a six-faced die shows one of the numbers: 1, 2, 3, 4, 5, 6.

A roll of a die is equally likely to land on any face, so the total number of possible outputs is 6, corresponding to the number of faces on the die.

The desired outcome here is 3, meaning the face that shows the number 3. Only one face has the number 3, so the number of desired outcomes is 1.

p(event) = (number of desired outcomes)/(total number of possible outcomes)

p(3) = 1/6 = 0.16666... = 16.7%

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Zanzabum
B 25%percent increase is the answer
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3 years ago
Suppose x is a real number and epsilon > 0. Prove that (x - epsilon, x epsilon) is a neighborhood of each of its members; in
kaheart [24]

Answer:

See proof below

Step-by-step explanation:

We will use properties of inequalities during the proof.

Let y\in (x-\epsilon,x+\epsilon). then we have that x-\epsilon. Hence, it makes sense to define the positive number delta as \delta=\min\{x+\epsilon-y,y-(x-\epsilon)\} (the inequality guarantees that these numbers are positive).

Intuitively, delta is the shortest distance from y to the endpoints of the interval. Now, we claim that (y-\delta,y+\delta)\subseteq  (x-\epsilon,x+\epsilon), and if we prove this, we are done. To prove it, let z\in (y-\delta,y+\delta), then y-\delta. First, \delta \leq y-(x-\epsilon) then -\delta \geq -y+x-\epsilon hence z>y-\delta \geq x-\epsilon

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3 0
4 years ago
The expression P(4, 3) is equal to:<br> -3!<br> -4!<br> - 1
nexus9112 [7]

Answer:

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Step-by-step explanation:

Given

P(4,3)

Required

Solve

Using permutation formula;

P(n,r) = \frac{n!}{(n-r)!}

This implies that

P(4,3) = \frac{4!}{(4-3)!}

P(4,3) = \frac{4!}{(1)!}

P(4,3) = \frac{4!}{1!}

P(4,3) = \frac{4!}{1}

P(4,3) = 4!

6 0
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Answer:

240 m³

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volume = length × width × depth

240 m³ = 20 m × 1 m × 12 m

3 0
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Max was on vacation twice as long as Jerrad and half as long as Wesley. The boys were on vacation a total three weeks. How long
mote1985 [20]
3 weeks = 21 days
Let Jerrad's vacation be X then Max's be 2X and Wesley's 4X
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4*3=12 Wesley had 12 days vacation
5 0
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