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Dvinal [7]
3 years ago
13

A coin is flipped. if a heads is flipped, then the coin is flipped 4 more times and the number of heads flipped is noted; otherw

ise (i.e., a tails is flipped on the initial flip), then the coin is flipped 2 more times and the result of each flip (i.e., heads or tails) is noted successively. how many possible outcomes are in the sample space of this experiment?
Mathematics
1 answer:
belka [17]3 years ago
7 0

The first flip can obviously return only H or T.

Suppose the coin lands on H. This means that every following string is possible (and thus part of the sample space)

x_1,\ x_2,\ x_3\ x_4,\quad x_i \in \{H,\ T\}

So, there are 16 such strings, because every flip has two possible outcomes.

Suppose now the coin lands on T. Like before, we add to the sample space the following strings:

x_1,\ x_2,\quad x_i \in \{H,\ T\}

And thus there are 4 such strings, because we have two choices for each of the two flips.

So, the sample space has 20 outcomes:

H - HHHH

H - HHHT

H - HHTH

H - HHTT

H - HTHH

H - HTHT

H - HTTH

H - HTTT

H - THHH

H - THHT

H - THTH

H - THTT

H - TTHH

H - TTHT

H - TTTH

H - TTTT

T - HH

T - HT

T - TH

T - TT

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Vinil7 [7]

Answer:

Length x Width x Height

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3 years ago
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Serggg [28]

y = (x - 2)(x + 5)    First I would multiply (x - 2) and (x + 5) together

y = x² + 5x - 2x - 10

y = x² + 3x - 10


Next I would plug in a number for x to find its y value. I will plug in 0

y = 0² + 3(0) - 10

y = -10

(0, -10)   [this is the y-intercept (the y value when x = 0)]


Your answer is Graph A because the y-intercept is (0,-10)

6 0
3 years ago
Marcus is skiing. He is 869 1/10 get up the mountain. He descends to 450 7/10 feet. What is his change in elevation
MatroZZZ [7]

Answer:

418 4/10

Step-by-step explanation:

To answer this we subtract 450 7/10 from 869 1/10.

We must borrow a '1' from 869 1/10:  868 11/10

Now subtract 450 7/10 from 868 11/10:

418 4/10 (CHANGE IN ELEVATION)

This reduces to 418 2/5.

7 0
3 years ago
If you roll a six-sided dice, what is the probability of rolling an odd number?
fomenos

Step-by-step explanation:

A six sided dice contains even numbers on three sides and odd numbers on remaining three sides.

Therefore,

Probability of rolling an odd number

=  \frac{3}{6}  \\ \\   =  \frac{1}{2}

5 0
3 years ago
Read 2 more answers
Lan Ventor designs a new board game and offers the design to Paddington Games p.l.c.
Andrej [43]

In order to make the offer attractive such that it would earn £25,000 for Ian Vector, Paddington Games would have to sell 460 games.

The game can be sold for £25,000 or for £2,000 and then a fee of £50 for every game sold.

In order for the amount to be the same, the amount from games sold will have to equal the difference between the £25,000 and the £2,000.

Difference is:

= 25,000 - 2,000

= £23,000

The <u>number of games to be sold</u> is:

= Difference / Amount per game

= 23,000 / 50

= 460 games

In conclusion, 460 games need to be sold to make the offer attractive.

<em>Find out more at brainly.com/question/2865277.</em>

5 0
2 years ago
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