There are 5 x 10 = 50 different outcomes.
Of them only 3x10, 4x10, 4x9, 4x8, 5x10, 5x9, 5x8, 5x7 and 5x6 are greater or equal than 30. Those are 9 possibilities.
Then 50 - 9 = 41 are the possibilities that the product of the two numbers is less than 30.
The probalility, then, is 41/50 = 0.82
We know:

We have

Substitute:


Only 4 and 10 meet the requirements of the question.
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40 and 1 NOT, because 40 > 12
20 and 2 NOT, because 20 > 12
5 and 8 NOT because GCF(5, 8) = 1
Absolute values are a way of finding a distant from zero, which means there will be 2 answers; one will be positive, and the other will be negative.
|<em>3x - 4</em>| = 5<em>and</em> |3<em>x - 4</em> = a^5 Because you need 2 answers, you have to make 5 positive and negative.
Another way to write this equation would be...
5=|3x-4|=—5
Now lets continue...
5=3x-4=—5
Add 4 to both sides...
9=3x=—1
Now divide by 3...
3=x= -1/3
So the solution is...
X={-1/3 3}
We know that
<span>Since the focus and vertex are above and below each other, rather than side by side, I know that this ellipse must be taller than it is wide.
</span>Then
a²<span> will go with the </span>y<span> part of the equation
</span>Also, since the focus is 8 <span>units below the center, then </span><span>c = 8
</span>since the vertex is 17<span> units above, then </span><span>a = 17
</span>The equation b²<span> = a</span>²<span> – c</span>²<span> gives me
</span>b²=17²-8²-----> b²=225
the equation is
y²/a²+x²/b²=1------> y²/289+x²/225=1
the answer isy²/289+x²/225=1see the attached figure
Answer:
After the peak of Klimt’s Golden Phase in 1907-8, there was a decline in his use of gold leaf in his paintings, the relationship with his young protégé Egon Schiele developed, and he had separated from the Vienna Secession over its exclusion of crafts from its exhibitions.
Klimt still used precious metal leaf, including gold and platinum, in his Hope II (1907-08), originally titled Vision by the artist. As with his Hope I, it is a portrait of a woman who is heavily pregnant. The woman’s head is bowed and her eyes closed, which is echoed in the heads of three other women at the foot.