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velikii [3]
4 years ago
9

Carrie rolls 2 fair dice and Work out the probability of

Mathematics
1 answer:
Dovator [93]4 years ago
3 0

Answer : The probability of getting a total that is a multiple of 4 is, \frac{1}{4}

Step-by-step explanation :

Probability : It is defined as the extent to which an event is likely to occur. That means, it is measured by the ratio of the favorable outcomes to the total number of possible outcomes.

\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of favorable outcomes}}

Favorable outcomes are:

(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)    

Favorable outcomes for getting a total that multiple of 4 are, (1,3), (2,2), (2,6), (3,1), (3,5), (4,4), (5,3), (6,2), (6,6)

Number of favorable outcomes for getting a total that multiple of 4 = 9

Total number of outcomes = 36

\text{Probability}=\frac{\text{Number of favorable outcomes for a multiple of 3}}{\text{Total number of favorable outcomes}}

\text{Probability}=\frac{9}{36}

\text{Probability}=\frac{1}{4}

Therefore, the probability of getting a total that is a multiple of 4 is, \frac{1}{4}

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PART A:

Scientific notation is given in the form of A*10^n
Where A is a value in unit and n is an integer

<span>0.000025 is not a unit number [the number before the decimal point is of zero value]

0.000025 = 2.5 </span>÷ 100,000

100,000 can be written as 10⁵

0.000025 = 2.5 ÷ 10⁵ ⇒ to write this in form of multiplication form, we change 10⁵ to 10⁻⁵

0.000025 = 2.5 × 10⁻⁵

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PART B:
<span>
The diameter of a grain of sand </span>÷<span> the diameter of the average cell in the human body
= [2</span>×10⁻⁴] ÷ [1×10⁻⁵]  
= [2÷1] × [10⁻⁴×10⁻⁵]
= 2×10 ⁽⁻⁴ ⁻ ⁽⁻⁵⁾⁾ = 2 × 10¹
= 20
<span>
answer: 20 times bigger
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PART C

Diameter of average cell in human body = 1 </span>× 10⁻⁵ meter
1 meter = 1 × 10⁹ nanometer

1 × 10⁻⁵ meter = [1 × 10⁻⁵] × [1 × 10⁹] = 1 × 10⁽⁻⁵⁺⁹⁾ = 1 × 10⁴ = 10000 nanometer
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PART D

1 meter = 1 × 10⁹ nanometer
300 nanometer = 300 ÷ [1 × 10⁹] = [3×10²] ÷ [1×10⁹] = [3÷1] × [10²÷10⁷] = 3 × 10⁻⁵

Answer: 3 × 10⁻⁵ meter

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PART E

Laws of exponents that are used in scientific notation is 

x^m*x^n=x^{m+n}
\frac{x^m}{x^n}=x^{m-n}





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Answer:

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20/6 - 11/6 = 9/6 = 1 1/2

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