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Lesechka [4]
2 years ago
11

George and Lea each toss a tetrahedral die with faces numbered 1 through 4, and then multiply the two resulting numbers. If the

product is less than 9, George wins; otherwise, Lea wins. What is the probability that Lea will win? Express your answer as a common fraction.
Mathematics
1 answer:
Anna007 [38]2 years ago
6 0

Answer:

I think the total number of combinations of 3 from 6 = 6C3 = 20

All possible combinations of 3 which have a product divisible by 3 must contain either a 3 or a 6.

So the number not divisible must be 3 combinations from the number 1, 2, 4, and 5.= which is 4

So the required probability is 20-4 ? 20 = 16/20 = 0.8 Answer

Hope this help you! :)

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What is the simplified form of √144x^36
Nadusha1986 [10]

Answer:

The simplified form of \sqrt{144x^{36}} is 12x^{18}

Step-by-step explanation:

Given : \sqrt{144x^{36}}

We have to write the simplified form of \sqrt{144x^{36}}

Consider the given expression \sqrt{144x^{36}}

We know \sqrt{144}=12

and \sqrt{x^{36}}=\sqrt{x^{18}\cdot x^{18}}

Thus,

\sqrt{144x^{36}}=\sqrt{12^2\cdot (x^{18})^2}

Simplify, we have,

=\sqrt{12^2\cdot (x^{18})^2}=12x^{18}

Thus, The simplified form of \sqrt{144x^{36}} is 12x^{18}

6 0
3 years ago
Read 2 more answers
Which of the following shows the division problem below in synthetic division form? (6x^3+x^2-3)/(x-7)
PSYCHO15rus [73]

Answer:

Option C.

Step-by-step explanation:

If a polynomial P(x) is divided by (x-c), then we write leading coefficients inside the synthetic division line and c outside the synthetic division line.

The given division problem is

\dfrac{6x^3+x^2-3}{x-7}

Here,

x-c=x-7\Rightarrow c=7

The numerator polynomial can be written as

P(x)=6x^3+x^2+0x-3

So, the coefficients of numerator are 6, 1, 0, -3.

The synthetic division form for given division problem is

7      |     6       1      0    -3

Therefore, the correct option is C.

5 0
3 years ago
HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER
NeTakaya

Step-by-step explanation:

x=90°

SUM OF ALL ANGLES OF PENTAGON =540

90+2(180-Y)+105+113=540

90+360-2Y+105+113=540

488-2Y=540

7 0
3 years ago
Read 2 more answers
A car is traveling at 65 miles per hours. how many hours will it take to get to a town that is 130 miles away?
TiliK225 [7]
2 hours because 65 miles is = to one hour
130=65x2
130 miles is =to 2 hours
6 0
3 years ago
What is the range of g(x) = 3|x − 1| − 1? A. (-∞, 1] B. [-1, ∞) C. [1, ∞) D. (-∞, ∞)
AVprozaik [17]

Answer:

B. [-1, ∞).

Step-by-step explanation:

g(x) = 3|x − 1| − 1

When x = 1  g(x) = 3(0) - 1 = -1.

As all negative vales of x will give positive values of  |x - 1| then  g(x) = -1 is its minimum value. The graph will be shaped like a letter V with the vertex at (1,-1).

Therefore the range is  [-1, ∞).

6 0
3 years ago
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