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JulsSmile [24]
3 years ago
8

What's 18y^3-6y^2-63y+21

Mathematics
2 answers:
xeze [42]3 years ago
5 0
18y^(3)-6y^(2)-63y+21 solve by factoring
amid [387]3 years ago
5 0
Let's simplify step-by-step.
18y3−6y2−−63y+21
=18y3+−6y2+63y+21
Answer:
=18y3−6y2+63y+21

                                                   Hope This Helps!

                                      Do what you love, love what you do!

                                                          ~GlitterWolfy~

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A coin is tossed twice. What is the probability of getting a tail in the first toss and a tail in the second toss?
skelet666 [1.2K]

Answer:

<h2>1/4 Chances</h2><h2>25% Chances</h2><h2>0.25 Chances (out of 1)</h2>

Step-by-step explanation:

Two methods to answer the question.

Here are presented to show the advantage in using the product rule given above.

<h2>Method 1:Using the sample space</h2>

The sample space S of the experiment of tossing a coin twice is given by the tree diagram shown below

The first toss gives two possible outcomes: T or H ( in blue)

The second toss gives two possible outcomes: T or H (in red)

From the three diagrams, we can deduce the sample space S set as follows

          S={(H,H),(H,T),(T,H),(T,T)}

with n(S)=4 where n(S) is the number of elements in the set S

tree diagram in tossing a coin twice

The event E : " tossing a coin twice and getting two tails " as a set is given by

          E={(T,T)}

with n(E)=1 where n(E) is the number of elements in the set E

Use the classical probability formula to find P(E) as:

          P(E)=n(E)n(S)=14

<h2>Method 2: Use the product rule of two independent event</h2>

Event E " tossing a coin twice and getting a tail in each toss " may be considered as two events

Event A " toss a coin once and get a tail " and event B "toss the coin a second time and get a tail "

with the probabilities of each event A and B given by

          P(A)=12 and P(B)=12

Event E occurring may now be considered as events A and B occurring. Events A and B are independent and therefore the product rule may be used as follows

        P(E)=P(A and B)=P(A∩B)=P(A)⋅P(B)=12⋅12=14

NOTE If you toss a coin a large number of times, the sample space will have a large number of elements and therefore method 2 is much more practical to use than method 1 where you have a large number of outcomes.

We now present more examples and questions on how the product rule of independent events is used to solve probability questions.

8 0
2 years ago
Read 2 more answers
Francis paid $36.54 for a computer software program after a fifteen percent discount was applied to the original selling price.
tigry1 [53]

Answer:

$42.02

Step-by-step explanation:

15% discount therefore if you want to find the original price it would be 100% plus 15% = 115%

Multiply the percentage (convert to decimal first) with the discounted value:

1.15(36.54) = 42.021

3 0
3 years ago
write an equation: Great Uncle Wilbert splits his inheritance equally between his five nieces and nephews. Unfortunately each of
Vaselesa [24]
I think it would be 1225000 because:

$7,500 each to the govt each comes out to $37,500 total given 
237,500 each to the kids comes out to 41,187,500 total given 
so adding both totals, you get $1,225,000 total money in Great Uncle Wilbert's inheritance

apparently he was rich xD

<span>
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6 0
3 years ago
Help me plzzzzzzzzzzz
Drupady [299]

Answer:

D. 4

Step-by-step explanation:

The lines cross on the point (2.5,4), this is the only place on the graph where the lines share the same y-value.

7 0
2 years ago
Solve the inequality |4x +4| &lt; 12
mel-nik [20]

Start by dividing all terms by 4, to reduce this expression: |x+1| < 3.

Case 1: x+1 is already positive. The abs. val. operator does not change

anything. Then x+1<3, or x<2.

Case 2: (x+1) is negative. The abs. val. operator, in effect, puts a - sign in

front of (x+1): -(x+1)<3. Distributing the - sign: -x - 1 < 3. Adding 1 to both sides: -x < 4. We want to solve for positive x, so we mult. both sides of

-x<4 by -1 AND change the direction of the inequality symbol:

x > -4

Thus, the solution set is (-4,2): All real numbers between -4 and 2.


5 0
3 years ago
Read 2 more answers
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