Using the uniform distribution, considering that the novel has 435 pages, the probability that the page is numbered something between 21 and 31 is:
<h3>What is the uniform probability distribution?</h3>
It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The probability of finding a value between c and d is:
Researching the problem on the internet, it is found that the novel has 435 pages, hence a = 0, b = 435, and the probability that the page is numbered something between 21 and 31 is given by:
More can be learned about the uniform distribution at brainly.com/question/13889040
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Steps to simplify:
(2x + 3)(x - 7)
~Use FOIL to multiply
(2x * x) + (2 * -7) + (3 * x) + (3 * -7)
~Simplify
=2x² - 14x + 3x - 21
~Combine Like Terms
2x² + (-14x + 3x) - 21
~Simplify
2x² - 11x - 21 (Option 2)
Best of Luck!
You're almost finished.
(sin/cos) times cos = 0
Look at the left side. You could write it as (sin x cos) / cos = 0
and simply divide numerator and denominator by the cosine (cancel it).
Then what do you have left ? . . . <u>sin(x) = 0</u> Do I need to finish this for you ?
<span>k= Keisha
k + 6=
John</span>
<span>
k + k + 6
= 4k</span>
<span>
2k + 6 ( - 2k)
= 4k ( - 2k)</span>
<span>
6 = 2k</span>
<span>
3 =
k
(Keisha= 3 years old)</span>
<span>
k + 6 = 9
(John = 9 years old)
</span>
3 + 3 + 6 = 4 (3)
<span>
12 = 12
</span><span>So
we made the pawn represent Keisha’s age.
Then we knew that John is 6 years older than Keisha so we represented
his age with a pawn plus 6. This went on 1 side of the equation because it said
that together they equal 4 times Keisha’s age. So on the other side of the
equation we put 4 pawns because we are using each pawn as Keisha’s age. Then we subtracted the pawns from each side
to keep the equation balanced. So we had
that 2 pawns equal 6, which means that each pawn equals 3 so Keisha is 3 years
old. Since John is 6 years older than
Keisha, he must be 9 years old. We
checked our work and substituted 6 in for each pawn and found that 12 equals
12, so our equation is balanced.
</span>
Hope this helps :)
