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kaheart [24]
3 years ago
12

An expirement consists of rolling two fair number cubes. What is the probability that the sum of the two numbers will be 4? Expr

ess your answer aa a fraction in simpleat form.
Mathematics
1 answer:
ExtremeBDS [4]3 years ago
5 0

Answer:

\dfrac{1}{12}

Step-by-step explanation:

Given:

Two fair number cubes i.e. two dice consisting the numbers 1, 2, 3, 4, 5, 6 on their faces and have equal probability of each number.

The dice are rolled.

To find:

Probability of getting the sum of two numbers as 4.

Solution:

First of all, let us have a look at the total possibilities when two dice are rolled:

([1][1], [1][2], [1][3], [1][4], [1][5], [1][6],

[2][1], [2][2], [2][3], [2][4], [2][5], [2][6],

[3][1], [3][2], [3][3], [3][4], [3][5], [3][6],

[4][1], [4][2], [4][3], [4][4], [4][5], [4][6],

[5][1], [5][2], [5][3], [5][4], [5][5], [5][6],

[6][1], [6][2], [6][3], [6][4], [6][5], [6][6])

These are total 36 possible outcomes.

For getting a sum as 4:

Possible number of favorable cases are 3 (as highlighted in BOLD in above)

Formula for probability of an event E can be observed as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

Required probability is:

\dfrac{3}{36} = \bold{\dfrac{1}{12}}

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Pren recorded this data set, which contains an outlier. 204, 216, 111, 224, 230, 211, 210, 198, 200, 218 What numbers represent
melamori03 [73]

Answer:

The correct option is D.

Step-by-step explanation:

The given data is

204, 216, 111, 224, 230, 211, 210, 198, 200, 218

Arrange the data in ascending order,

111, 198, 200, 204, 210, 211, 216, 218, 224, 230

The range is the difference between maximum value and minimum value.

Range=\text{upper limit}-\text{lower limit}

Range=230-111=119

Divide the data it two equal parts.

(111, 198, 200, 204, 210), (211, 216, 218, 224, 230)

Now divide the each in two equal parts.

(111, 198), 200, (204, 210), (211, 216), 218, (224, 230)

The mid value of first part is 200 and the mid value of second part is 218.

\text{lower quartile}=Q_1=200

\text{Upper quartile}=Q_3=218

Therefore option D is correct.

5 0
3 years ago
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Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.
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Linear term -21x

Step-by-step explanation:

(3x+2)(-6x-3)=-18x^2-21x-6

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7 0
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Answer:

Option (A)

Step-by-step explanation:

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3 years ago
If f(x)=x2+1, then (f∘f)(x)=
PSYCHO15rus [73]

The resulting composite function (f∘f)(x) is x⁴+2x²+2

When a function is written inside another function, it is known as a composite function

Given the function f(x)=x²+1,

(f∘f)(x) = f(f(x))

f(f(x)) = f(x²+1)

This means we will need to replace x with x²+1 in f(x) as shown:

f(x²+1) = (x²+1)²+1

Expand

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Hence the resulting composite function (f∘f)(x) is x⁴+2x²+2

Learn more here: brainly.com/question/3256461

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