Answer:
27.5 minutes
Step-by-step explanation:
Using,
R/R' = 2ᵃ/ᵇ------------------ Equation 1
From the equation,
R = mass of Element X before radioactive decay, R' = mass of element X after radioactive decay, a = Time taken, b = half life.
Given: R = 870 grams, R' = 154 grams, b = 11 minutes.
Substitute these values into equation 1
870/154 = 2ᵃ/¹¹
(870/154)¹¹ = 2ᵃ
Solve for a
2ᵃ = (5.649)¹¹
2ᵃ = 187061.26
Taking the logarithm of both side,
Log2ᵃ = Log(187061.26)
⇒ a = log(187061.26)/log2
a = 8.272/0.301
a = 27.5 minutes
The possible outcomes of a random experiment and the probability of each outcome is called "a Probability Distribution."
<h3>What is a Probability Distribution?</h3>
A probability is a statistical formula that indicates all of the potential values and probability distributions for a random variable within a specified range.
Some characteristics regarding the Probability Distribution are-
- The range will be bounded by the minimum and greatest possible values, but the precise location of the possible value just on probability distribution relies on a number of factors.
- These variables include the mean (average), standard deviation, skewness, & kurtosis of the distribution.
- Although other regularly used probability distributions exist, the normal distribution, called "bell curve," is perhaps the most common.
- Typically, the technique of generating data for a phenomenon will influence its probability distribution. This is known as the probability density function.
- Likelihood distributions can also be used to generate cumulative distribution functions (CDFs), that cumulatively build up the probability of occurrences and always begin at zero and end at 100%.
To know more about Probability Distribution, here
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Plug -7 for x
10*-7 = -70 - 19 = -89
<span>k(-7) = -89</span>
