Answer:
I do not know this answer to the question. I am so sorry. Ask "LucasPeed"
Step-by-step explanation:
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Answer:
(x - 3)(x² + 4)
Step-by-step explanation:
x³ - 3x² + 4x - 12 ( factor first/second and third/fourth terms )
= x²(x - 3) + 4(x - 3) ← factor out (x - 3 from each term
= (x - 3)(x² + 4)
Answer:
(a)
and
are indeed mutually-exclusive.
(b)
, whereas
.
(c)
.
(d)
, whereas ![P(A_1 \; |\; B) = \displaystyle \frac{4}{9}](https://tex.z-dn.net/?f=P%28A_1%20%5C%3B%20%7C%5C%3B%20B%29%20%3D%20%5Cdisplaystyle%20%5Cfrac%7B4%7D%7B9%7D)
Step-by-step explanation:
<h3>(a)</h3>
means that it is impossible for events
and
to happen at the same time. Therefore, event
and
are mutually-exclusive.
<h3>(b)</h3>
By the definition of conditional probability:
.
Rearrange to obtain:
.
Similarly:
.
<h3>(c)</h3>
Note that:
.
In other words,
and
are collectively-exhaustive. Since
and
are collectively-exhaustive and mutually-exclusive at the same time:
.
<h3>(d)</h3>
By Bayes' Theorem:
.
Similarly:
.
Let's solve your inequality step-by-step.
<span><span><span>4x</span>+11</span><23
</span>Step 1: Subtract 11 from both sides.
<span><span><span><span>4x</span>+11</span>−11</span><<span>23−11</span></span><span><span>4x</span><12
</span>Step 2: Divide both sides by 4.<span><span><span>4x</span>4</span><<span>124</span></span><span>x<3
</span><u>Answer:
</u><span> x<<span>3</span></span>
Answer:
c
Step-by-step explanation:
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