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Ray Of Light [21]
3 years ago
15

Bayes' theorem provides a way to transform prior probabilities into posterior probabilities. Group of answer choices True False

Mathematics
1 answer:
Dvinal [7]3 years ago
6 0

Answer:

True

Step-by-step explanation:

Bayes' theorem is indeed a way of transforming prior probabilities into posterior probabilities. It is based on the principle of conditional probability. Conditional probability is the possibility that an event will occur because it is dependent on another event.

The prior probability in this theorem is the present understanding we possess about the possible outcome of an event based on the current understanding we have about the subject. Posterior probability on the other hand is the new understanding we have of the subject matter based on an experiment that has just been performed on it. Bayes' Theorem finds widespread application which includes the fields of science and finance. In the finance world, for example, Bayes' theorem is used to determine the probability of a debt being repaid by a debtor.

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When using substitution to solve this system of equations, what is the result of the first step x=6y+3
myrzilka [38]
First step: you have to plug in 6y+3 into the equation and solve
Example: 6y+3+2y = 5
3 0
3 years ago
Choose the missing step in the given solution to the inequality −6x − 10 > 14 + 2x. −6x − 10 > 14 + 2x _______________ −8x
Vanyuwa [196]

-6x - 10 > 14 + 2x

<u>-2x       </u>    <u>    -2x  </u>

-8x  - 10 >  14               THIS IS THE MISSING STEP

<u>       +10</u>    <u>+10  </u>

-8x       > 24

\frac{-8x}{-8}       \frac{24}{-8}

  x       < -3

Answer: x < -3

8 0
3 years ago
Scores for a common standardized college aptitude test are normally distributed with a mean of 493 and a standard deviation of 9
Tomtit [17]

Answer:

34.01% probability that his score is at least 532.1.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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:

\mu = 493, \sigma = 95

If 1 of the men is randomly selected, find the probability that his score is at least 532.1.

This is 1 subtracted by the pvalue of Z when X = 532.1. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{532.1 - 493}{95}

Z = 0.41

Z = 0.41 has a pvalue of 0.6591

1 - 0.6591 = 0.3409

34.01% probability that his score is at least 532.1.

3 0
3 years ago
A rocket is shot straight into the air at an initial velocity of 70 feet/second.
DanielleElmas [232]

Answer: 245 feet

Step-by-step explanation:

Given: The height of the rocket after t seconds is represented by the formula:

h=70t-5t^2

\dfrac{dh}{dt}=70-10t  [Differentiate both sides w.r.t. t]

Put

\dfrac{dh}{dt}=0\\\\\Rightarrow\ 70-10t=0\\\\\Rightarrow\ t=\dfrac{70}{10}=7

Also, \dfrac{d^2h}{dt^2}=-10 i.e. height is maximum at t=7.

Maximum height = h=70(7)-5(7)^2 = 490 - 245= 245\text{ feet}

Hence, the maximum height the rocket reaches = 245 feet.

3 0
3 years ago
Simplify (2x - 2y) (2y + 8) =?
Alika [10]

Answer:

it is 4xy-4y^2+16x-16y

Step-by-step explanation:

My method is to "square them"

2x.          -2y.      

                         2y

                         8

2x * 2y

2x * 8

-2y*2y

-2y * 8

and add all the products together

6 0
4 years ago
Read 2 more answers
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