Without actually calculating the logarithm, determine what two integers the value of log(1.37×109) falls between.

1 answer:

6 0

First, we must identify the type of logarithm rule presented; the provided information pertains to the logarithm product rule, which states that the logarithm of a product can be expressed as the sum of the logarithms of the individual bases.

By:

= log (1.37 x 10⁹) = log (1.37) + log (10⁹)

= log (1.37) + 9

= 9 + log (1.37)

At this moment, since 1.37 lies between 1 and 10, its logarithm will be within the range of 0 and 1. As such, the value of log (1.37 x 10⁹) is between 9 and 10 because using scientific notation requires a number between 1 and 10 multiplied by 10 raised to some exponent. This exponent indicates the integer portion of the logarithm.

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Which statements are true regarding undefinable terms in geometry? Select TWO options

PIT_PIT [11881]

Answer:

3) A line has one dimension, length. (True)

5) A plane is made up of an infinite collection of lines. (True)

Explanation:

Geometry has three undefined terms:

a) point

b) line

c) plane

Examining the given statements:

1) A point described as (x, y) has two dimensions — this is incorrect because a point has no dimensions.

2) A plane has clear start and end points — this is false as a plane extends infinitely without boundaries.

3) A line has exactly one dimension, which is its length. (True)

4) A point consists of countless lines — this is false; actually, a line consists of infinite points.

5) A plane consists of an unending set of lines. (True)

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A CD has a 5% chance of being a smash hit and profiting $5.2 million, a 50% chance of being a modest success and profiting $0.9

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P(S) = Probability of Smash = 0.05 (5%)
P(M) = Probability of Modest = 0.5 (50%)
P(F) = Probability of Flop = 0.45 (45%)
Based on this, we utilize the model for discrete random variables, leading to:
E(X) = (0.05 * 5.2) + (0.5 * 0.9) + (0.45 * 0)
= 0.26 + 0.45 + 0
= 0.71 Mill'