Answer:
the answer is 3
Step-by-step explanation:
Normally when dealing with coins the probability of getting heads or tails is 0.5 each. However in this case since its an unfair coin, the probability of getting heads is 0.2.
H - head
T - tails
R - red marble
pr (H) = 0.2
urn
6 red and 4 blue
pr (T) = 0.8
urn
3 red and 5 blue
when heads is obtained
red - 6/10 -0.6
blue - 4/10 - 0.4
therefore when multiplying with 0.2 probability of getting heads
pr (R ∩ H) red - 0.6*0.2 = 0.12
when tails is obtained
red - 3/8 - 0.375
blue - 5/8 - 0.625
when multiplying with 0.8 probability of getting tails
pr (R ∩ T) red - 0.375 * 0.8 = 0.3
using bayes rule the answer can be found out,
the following equation is used;
pr (H | R) = pr (R ∩ H) / {pr (R ∩ H) + pr (R ∩ T)}
= 0.12 / (0.12 + 0.3)
= 0.12 / 0.42
= 0.286
the final answer is 0.286
Answer:
Undefined at x = 2 and x = -2
Step-by-step explanation:
(5x²+x+11)/(x²-4)
Function becomes undefined when the denominator goes to zero.
x² - 4 = 0
x = 2, -2
Hey there we cannot see the question :D Sorry about that I would answer but I cannot!
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Answer:
![x\le \:-2\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-2\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-2]\end{bmatrix}](https://tex.z-dn.net/?f=x%5Cle%20%5C%3A-2%5Cquad%20%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Ax%5Cle%20%5C%3A-2%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%28-%5Cinfty%20%5C%3A%2C%5C%3A-2%5D%5Cend%7Bbmatrix%7D)
Please check the attached number line graph.
The number line clearly indicates that the graph is heading towards negative infinity from -2.
Step-by-step explanation:
Given the inequality expression
x ≤ -2
The inequality symbol ' ≤ ' means 'less than or equal to'.
Thus,
x ≤ -2 means x is less than or equal to -2.
In other words,
Please check the attached number line graph.
The number line clearly indicates that the graph is heading towards negative infinity from -2.
