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olga55 [171]
3 years ago
14

If a fair coin is tossed 11 times, in how many different ways can the sequence of heads and tails appear?

Mathematics
1 answer:
Oduvanchick [21]3 years ago
5 0

Answer:

2048

Step-by-step explanation:

Here’s an example for 2 flips: HH - HT - TT - TH. (That’s 2*2, or 2^2)

Here’s 3 flips: HHH - HHT - HTH - HTT - THH - THT - TTH - TTT. (That’s 2*2*2, or 2^3).

For 11 flips, it’s 2^11… which is 2048

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garri49 [273]

Answer:

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Step-by-step explanation:

7 0
3 years ago
A right triangle is shown.<br> 25<br> X<br> 22°<br> Which is the closest to the value of x?
alukav5142 [94]

Answer: D) 9.4

Step-by-step explanation:

6 0
3 years ago
The dimensions of a rectangle are 3 1/5cm by 5 5/6cm. What is the area of the rectangle?
andreyandreev [35.5K]
Answer: C. 18 2/3cm

Explanation:

Area of rectangle = length x width

After you set up the fractions:

96/30 x 175/30
= 16800/900
= 18.666e
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5 0
3 years ago
Plzzz help plzzzzzzzzzzzzzz
mezya [45]

Given:

The figure of two quadrilaterals.

In ABCD,AB=18,BC=20,CD=22,AD=24

In EFGH,EF=27,FG=30,GH=34, EH=36

To find:

Whether the figures are congruent, similar or neither.

Solution:

Ratio of corresponding sides are:

\dfrac{AB}{EF}=\dfrac{18}{27}

\dfrac{AB}{EF}=\dfrac{2}{3}

Similarly,

\dfrac{BC}{FG}=\dfrac{20}{30}

\dfrac{BC}{FG}=\dfrac{2}{3}

\dfrac{CD}{GH}=\dfrac{22}{34}

\dfrac{CD}{GH}=\dfrac{11}{17}

And,

\dfrac{AD}{EH}=\dfrac{24}{36}

\dfrac{AD}{EH}=\dfrac{2}{3}

Clearly, \dfrac{AB}{EF}=\dfrac{BC}{FG}=\dfrac{AD}{EH}\neq \dfrac{CD}{GH}.

All corresponding sides are not proportional.

Therefore, the figures are neither similar nor congruent. Hence, third option is correct.

7 0
3 years ago
If p(x) = 2x2 – 4x and q(x) = x – 3, what is (p circle q) (x)?
mamaluj [8]

Answer:

2x^2 - 16x + 30

Step-by-step explanation:

Here, we want to get the composite function;

p•q(x)

All we have to do here is to replace the x value in p(x) by the totality of q(x)

we have this as ;

= 2(x-3)^2 - 4(x-3)

= 2(x^2 -6x + 9) - 4(x-3)

= 2x^2 -12x + 18 -4x + 12

= 2x^2 - 16x + 30

8 0
3 years ago
Read 2 more answers
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