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LuckyWell [14K]
3 years ago
9

Suppose you flip 3 quarters, one at a time. What is the probability that you will

Mathematics
1 answer:
Semenov [28]3 years ago
7 0

Answer:

The probability of the combination {H, T and H} is 0.125.

Step-by-step explanation:

The sample space of flipping a quarter is:

S = {H and T}

The probability of both outcomes is same, i.e. P (H) = P (T) = 0.50.

It is provided that three quarters are flipped one at a time.

The outcomes of all the three quarters are independent of each other.

Compute the probability of the combination {H, T and H} as follows:

P(\text{H},\text{T and H}) = P(\text{H})\times P(\text{T})\times P(\text{H})

                        =0.50\times 0.50\times 0.50\\=0.125

Thus, the probability of the combination {H, T and H} is 0.125.

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Which term can be added to the list so that greatest common factor of the three terms is 12h^3? 36h^3 12h^6. 6h^3. 12h^2. 30h^4.
Juliette [100K]

Answer:

Last Option 48h^{5}.

Step-by-step explanation:

In this question we will do the factors of given two terms then we will do the common factors of all the terms given in answer to match with.

Common factors of 36h³ = 1×2×2×3×3×h×h×h

Common factors of 12h^{6} = 1×2×2×3×h×h×h×h×h×h

In these two terms greatest common factor Of these two terms is = 1×2×2×3×h×h×h = 12h³

Therefore the third term will be the number which has the greatest common factor = 12h³

So the given terms are

6h³ = 1×2×3×h×h×h

12h² = 1×2×2×3×h×h

30h^{4} = 1×2×3×5×h×h×h×h

48h^{5} = 1×2×2×2×2×3×h×h×h×h×h

Therefore the greatest common factor of the term which matches with 12h³ is 48h^{5}

3 0
2 years ago
Solve 3x-4= 7 you may use the flowchart to help you if you wish
laiz [17]

Answer:

x = 3 2/3

Step-by-step explanation:

Given

3x - 4 = 7

Add 4 to both sides of the equation

3x - 4 + 4 = 7 + 4

3x = 11

Divide both sides by 3

3x/3 = 11/3

x = 3 2/3

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2 years ago
Read 2 more answers
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KIM [24]

Answer:

choice a.) degree 3, constant term -1 leading coefficient 1

Step-by-step explanation:

expand the binomial product

(x - 1)(xx + 1)  =   xxx - 1  + x - xx

4 0
3 years ago
Susan is looking to hire a cleaning company to clean her house every week. One cleaning company's cost can be calculated by the
kirill [66]

Answer:

<h3>A. 1 hour</h3>

Step-by-step explanation:

If one cleaning company's cost can be calculated by the expression 75 + 50x, where x is the amount of hours they spend cleaning and another cleaning company's cost can be calculated using the expression 50 + 75x, then to calculate how long each company will have to clean to cost the same amount, we will equate both expression of the company cost and solve for x as shown;

On equating:

75 + 50x,  =  75x + 50

collect like terms'

50x-75x = 50-75

-25x = -25

divide both sides by -25

-25x/-25 = -25/-25

x = 1

hence the number of hours each company will have to clean to cost the same amount is 1 hour

3 0
2 years ago
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