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exis [7]
2 years ago
10

If you roll a dice four times, what is the chance that you roll a 2?

Mathematics
1 answer:
crimeas [40]2 years ago
4 0

Answer:

  about 51.77%

Step-by-step explanation:

The probability you will roll a 2 is the complement of the probability you will not roll a 2.

__

<h3>p(no 2)</h3>

A die has 6 faces, one of which is labeled with 2. The probability of rolling a 2 on any given roll is 1/6, so is 1-1/6 = 5/6 that a 2 will not be rolled. Sequential rolls of the die are presumed to be independent, so the probability of 4 rolls not showing a 2 at any time is ...

  p(no 2) = (5/6)^4 = 625/1296

<h3>p(2)</h3>

The probability that at least one 2 will show up on at least one roll is the complement of this value:

  p(some 2) = 1 -625/1296 = 671/1296 ≈ 0.517747

The chance you will roll at least one 2 is about 51.77%.

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3 years ago
Question 3(Multiple Choice Worth 4 points)
boyakko [2]

Answer:

The correct option is (1).

Step-by-step explanation:

The given system of equation is,

y=-x+4       ..... (1)

y=3x+3      .... (2)

The solution of the system of equation is the point where both line intersect each other.

Solve the equation by method of elimination.

Multiply equation 1 by 3.

3y=-3x+12    ... (3)

Add equation (2) and (3).

y+3y=3x+3+(-3x+12)

4y=3x+3-3x+12

4y=15

y=3.75

Put this value in equation 1.

3.75=-x+4

x=-3.75+4

x=0.25

Therefore, the lines intersect each other at (0.25,3.75). So, the first option is correct.

8 0
4 years ago
How do you find the quadratic function with vertex (-2,5) and point (0,9)?
Anastaziya [24]

Answer: y = (x +2)² + 5

<u>Step-by-step explanation:</u>

y = a(x - h)² + k <em>where "a" is the leading coefficient and (h, k) is the vertex</em>

Since we don't know "a", we need to plug in the point (x, y) and the vertex (h, k) to solve for "a":  (x, y) = (0, 9) and (h, k) = (-2, 5)

y = a(x - h)² + k

9 = a(0 - (-2))² + 5

9 = a(0 + 2)² + 5

9 = a(2)² + 5

<u>-5 </u>   <u>          -5 </u>

4  =  a(4)

<u>÷4 </u>   <u> ÷4   </u>

 1 = a

Next, plug in "a" and the vertex (h, k):

y = a(x - h)² + k

y = 1(x +2)² + 5

y = (x +2)² + 5


6 0
4 years ago
What is 20/25 as a percent
Serggg [28]

Answer:

80%

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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