By definition of conditional probability,
P(<em>F</em> | <em>E</em> ) = P(<em>F</em> and <em>E</em> ) / P(<em>E</em> )
Then
P(<em>F</em> and <em>E </em>) = P(<em>F</em> | <em>E</em> ) P(<em>E </em>) = 0.5 • 0.2 = 0.1
Answer:
Add
−
23 and 5.6
5x
b + x − 17.4
Step-by-step explanation: plz brainliest
Answer:
(2x^3)(3x^3 +2x +5)
Step-by-step explanation:
The key words here are "greatest common factor." They have their usual English meanings. A common factor is one that is a multiplier in every term, so you need to look to see what those are. The "greatest common factor" is the largest common factor you can find.
first term: 2·3·x·x·x·x·x·x
second term: 2·2·x·x·x·x
third term: 2·5·x·x·x
A common factor is a factor that is on every list. I have shown them in bold. Once the common factor is factored out, the remaining factors are summed according to the distributive property.
6x^6 +4x^4 +10x^3 = (2x^3)(3x^3 +2x +5)
_____
Of course you recognize that each of the coefficient numbers is even. That means they are all divisible by 2. So, you know right away that 2 is a common factor.
There are powers of x in every term. The lowest power of x is x^3, and all the other powers are higher, so you know that x^3 will be a common factor, too. Having got this far, you can factor out 2x^3 and see if any of the remaining terms seem to have anything in common. They don't.
Answer:
<u>$467.05</u>
Step-by-step explanation:
The price is $562
First, 20% off of that:
562 - 20% of 562 = 562 - 0.2(562) = $449.60
Second, he has to pay 6% tax on this amount, so:
6% = 6/100 = 0.06
449.60 + 0.06*449.60 = $476.58
He won't be paying this amount, because paying through credit card will give him 2% discount on this, so:
476.58 - 0.02(476.58) = <u>$467.05</u>
<u></u>
<u>Final Price: $467.05</u>
29.) This is simply interpreting the linear function.
The function:
96+2.1x
a.) The 96 is what you start with from the beginning. So, we know Rachel weighed 96 ounces when she was born.
b.) Again, interpretation. The 2.1 is the slope, or the change in the line. So we know that Rachel gains 2.1 ounces each day.
30.) For this one, you just have to plug 9 into the equation for x.
