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dimaraw [331]
4 years ago
13

If we consider the toss of four coins as an experiment, how many equally likely outcomes does the sample space have?

Mathematics
1 answer:
Arturiano [62]4 years ago
6 0
There are 16 possible outcomes.

This is found by taking the number of possible outcomes for each toss, 2, and raising it to the 4th power (for 4 tosses):

2⁴ = 2*2*2*2 = 16
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IF 12,000 people voted in the election how many were from 50 to 64 years old
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Answer:

15

Step-by-step explanation:

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A progression has a second term of 96 and a fourth term of 54. Find the first term of the progression of the progression is arit
Vladimir79 [104]

Here, we are required to find the first term of an arithmetic progression which has a second term of 96 and a fourth term of 54.

  • The first term of the progression which has a <em>second term</em> of 96 and a <em>fourth term</em> of 54 is; a = 117.

<em>In Arithmetic progression, the N(th) term of the progression is given by the formular;</em>

T(n) = a + (n-1)d

where;

  • a = first term

  • d = common difference.

  • n = nth term.

Therefore, from the question above;

  • T(2nd) = a + d = 96..............eqn(1)

  • and T(4th) = a + 3d = 54..........eqn(2)

By solving the system of equations simultaneously;

we subtract eqn. 2 from 1, then we have;

<em>-2d = 42</em>

Therefore, d = -21.

However, the question requests that we find the first term of the progression; From eqn. (1);

a + d = 96

Therefore,

  • a - 21 = 96
  • a = 96 + 21

Ultimately, the first term of the progression is therefore; a = 117

Read more:

brainly.com/question/18828482

5 0
3 years ago
Y4+5y2+9 factorise please help me​
Veronika [31]

\displaystyle\ y^4 +5y^2+9=(y^2+3)^2-y^2=(y^2-y+3)(y^2+y+3)

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3 years ago
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the length of a rectangle is 3 times its width. the perimeter is 55. find the length and width of the rectangle
Shkiper50 [21]

Answer:

Step-by-step explanation: L= length    w= width   p= perimeter

L=3W         p=55CM

P. of rectangle= 2(l+w)=55cm

L+w= 55/2= 27.5 cm

3w+w=27.5cm

4w=27.5cm

w=27.5/4=6.875cm          w=6.875cm     L= 3w=6.875*3=20.625cm

4 0
3 years ago
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