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Genrish500 [490]
3 years ago
6

A spinner has three equal sections labeled 1, 2, and 3. It is spun twice. Which expression can be used to determine P(2, then 1)

?
Mathematics
2 answers:
natita [175]3 years ago
6 0
1/3 . 1/3 i just took the test.
torisob [31]3 years ago
6 0

Answer:

\frac{1}{9}

Step-by-step explanation:

Given :A spinner has three equal sections labeled 1, 2, and 3. It is spun twice.

Solution :Which expression can be used to determine P(2, then 1)?

Solution :

Total no. of events = {1,2,3}=3

When it is spin for the first time .

Since we are given in the first spin she should get 2

No. of Favorable events ={2}=1

probability of getting 2 = \frac{\text{No. of favorable events}}{\text{No. of total events}}

= 1/3

In second spin she should get 1

No. of Favorable events ={1}=1

probability of getting 1= \frac{\text{No. of favorable events}}{\text{No. of total events}}

=\frac{1}{3}

Thus  P(2, then 1) = \frac{1}{3} *\frac{1}{3}

Hence the expression : P(2, then 1) = \frac{1}{3} *\frac{1}{3}

                                                         = \frac{1}{9}

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A fossilized leaf contains 18% of its normal amount of carbon 14. How old is the fossil (to the nearest year)? Use 5600 years as
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Answer: The age of the fossilized leaf is 13829 years.

Step-by-step explanation:

Expression for rate law for first order kinetics is given by:

t=\frac{2.303}{k}\log\frac{a}{a-x}

where,

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a = let initial amount of the reactant = 100

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a) for completion of half life:  

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t_{\frac{1}{2}}=\frac{0.693}{k}

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3 years ago
Simplify the expression (2x − 9)(x + 6)
kenny6666 [7]

<u>Answer:  </u>

Simplified form of given expression (2x – 9 )( x + 6 )  is 2 \mathrm{x}^{2}+3 \mathrm{x}-54

<u> Solution: </u>

We need to simplify following expression.

(2x – 9) ( x + 6)  

For sake of simplicity lets first assume 2x – 9 = A

So expression becomes A(x+6)

= Ax + A6

Now replace A by 2x – 9

= (2x – 9 ) x + (2x – 9 ) 6

=2 \mathrm{x}^{2}-9 \mathrm{x}+12 \mathrm{x}-54

On simplification, we get

=2 \mathrm{x}^{2}+3 \mathrm{x}-54

Hence simplified form of given expression (2x – 9 )( x + 6 )  is = 2 \mathrm{x}^{2}+3 \mathrm{x}-54

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