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2 years ago

2e=2 what does e equal

Mathematics

2 answers:

Murljashka [212]2 years ago

5 0

2e=2 divide both sides by 2

e=1

kondaur [170]2 years ago

4 0

When solving for a variable, you undo everything that is being done to the variable.

In this case, the variable e is being multiplied by 2.
We can reverse the multiplication operation by dividing the whole equation by 2.

2e / 2 = 2 / 2
e = 1

So, e is equal to 1.

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A coin is to be tossed as many times as necessary to turn up one head. Thus the elements c of the sample space C are H, TH, TTH,

slavikrds [6]

Answer:

Step-by-step explanation:

As stated in the question, the probability to toss a coin and turn up heads in the first try is $\frac{1}{2}$ , in the second is $\frac{1}{4}$ , in the third is $\frac{1}{8}$ and so on. Then, P(C) is given by the next sum:

$P(C)=\sum^{\infty}_{n=1}(\frac{1}{2} )^{n}=1$

This is a geometric series with factor $\frac{1}{2}$ . Then is convergent to $\frac{1}{1-\frac{1}{2}}-1=1.$ . With this we have proved that P(C)=1.

Now, observe that

$P(H)=\frac{1}{2}, P(TH)=\frac{1}{4},P(TTH)=\frac{1}{8},P(TTTH)=\frac{1}{16},P(TTTTH)=\frac{1}{32},P(TTTTTH)=\frac{1}{64}.$

Then

$P(C1)=P(H)+P(TH)+P(TTH)+P(TTTH)+P(TTTTH)=\frac{1}{2} +\frac{1}{4} +\frac{1}{8} +\frac{1}{16} +\frac{1}{32} =\frac{31}{32}$

$P(C2)=P(TTTTH)+P(TTTTTH)=\frac{1}{32}+\frac{1}{64} =\frac{3}{64}$

$P(C1\cap C2)=P(TTTTH)=\frac{1}{32}$

and

$P(C1\cup C2)=P(H)+P(TH)+P(TTH)+P(TTTH)+P(TTTTH)+P(TTTTTH)=\frac{1}{2} +\frac{1}{4} +\frac{1}{8} +\frac{1}{16} +\frac{1}{32} +\frac{1}{64}=\frac{63}{64}$

5 0

2 years ago

AB = 6x DC = x + 15 AD = 9 BC = 3y Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Show tha

Kruka [31]

Answer:

The given quadrilateral is a parallelogram.

Step-by-step explanation:

If a quadrilateral is a parallelogram , then the opposite sides would be equal.

Here we are going to equate the length of 1 pair of opposite sides to find the value of x and use this value of x to verify whether the other pair of opposite sides are equal.

AB = 6x

BC = 3x

DC = x + 15

AD = 9

Equate AB and CD,

6x = x + 15

5x = 15

x = 3

Now BC and DA should be equal.

BC = 3x = 9

Also DA = 9

As we can see, the other pair of opposite sides are also equal.

Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent.

Hence , the given quadrilateral is a parallelogram.

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3 years ago

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Alja [10]

The correct answer is y=-13/10x+13 as it matches the graph

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2 years ago

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sineoko [7]

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