The number -3 written as a logarithm with a base of 2 is log₂(0.125) or log₂(1/8)
<h3>What are logarithms?</h3>
As a general rule, logarithms are mathematical expressions that are written in the form log(x) or ln(x), for natural logarithms
<h3>How to rewrite the number as a logarithm?</h3>
The number is given as:
x = -3
The base of the logarithm is given as:
Base = 2
To rewrite the given number as a base of 2, we take the exponent of the number where the base is 2
This is represented as:
Number =2^-3
Apply the power rule of indices
Number =1/2^3
Evaluate the exponent
Number = 1/8
Evaluate the quotient
Number = 0.125
Hence, when the number -3 is rewritten as a logarithm with base 2, the equivalent logarithm expression is log₂(0.125) or log₂(1/8)
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Answer:
7.3 in
Step-by-step explanation:
area = 27 = 54/2 = (x^2)/2
so what squared is 54?
7.34 whatever inches.
round it down, that's 7.3.
Square has 4 sides if each side is 3 you multilpy 3x4= 12inches
Answer:
65.54% probability that a battery lasts more than 4 hours
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What is the probability that a battery lasts more than 4 hours?
4 hours is 4*60 = 240 minutes.
So this is 1 subtracted by the pvalue of Z when X = 240.
has a pvalue of 0.3446
1 - 0.3446 = 0.6554
65.54% probability that a battery lasts more than 4 hours