A.1 B. 2/3 C.5/6 D.1/3

Mathematics

2 answers:

RideAnS [48]2 years ago

8 0

Answer:

Step-by-step explanation:

There are 6 values on the faces of a standard number cube, that is

1, 2, 3, 4, 5, 6

There are 4 values > 2, that is 3, 4, 5, 6

P( number > 2 ) = $\frac{4}{6}$ = $\frac{2}{3}$ → B

Elodia [21]2 years ago

5 0

Answer:

B. 2/3

Step-by-step explanation:

A standard cube has 6 sides, numbered 1 - 6. You are finding the probability (<em>P</em>) of getting a number greater than 2. Note that it says "greater than" not "greater and equal", so you do not count 2 inside the answer.

3, 4, 5, 6, are all greater than 2, and are 4 of the 6 numbers provided. Simplify the fraction:

(4/6)/(2/2) = 2/3

B. 2/3 is your answer.

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Bond [772]

Answer:

3log(10) -2log(5) ≈ 1.60206
no; rules of logs apply to any base. ln(x) ≈ 2.302585×log(x)
no; the given "property" is nonsense

Step-by-step explanation:

The given expression expression can be simplified to ...

3log(10) -2log(5) = log(10^3) -log(5^2) = log(1000) -log(25)

= log(1000/25) = log(40) . . . . ≠ log(5)

≈ 1.60206

Or, it can be evaluated directly:

= 3(1) -2(0.69897) = 3 -1.39794

= 1.60206

The properties of logarithms apply to logarithms of any base. Natural logs and common logs are related by the change of base formula ...

ln(x) = log(x)/log(e) ≈ 2.302585·log(x)

The given "property" is nonsense. There is no simplification for the product of logs of the same base. There is no expansion for the log of a sum. The formula for the log of a power does apply:

$\log(a)\log(b)=\log(a^{\log(b)})=\log(b^{\log(a)})$