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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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When Carson runs the 400 meter dash, his finishing times are normally distributed with a mean of 63 seconds and a standard devia
Gnom [1K]

Answer: in 95% of races, his finishing time will be between 62 and 64 seconds.

Step-by-step explanation:

The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below

68% of data falls within the first standard deviation from the mean.

95% fall within two standard deviations.

99.7% fall within three standard deviations.

From the information given, the mean is 63 seconds and the standard deviation is 5 seconds.

2 standard deviations = 2 × 0.5 = 1

63 - 1 = 62 seconds

63 + 1 = 64 seconds

Therefore, in 95% of races, his finishing time will be between 62 and 64 seconds.

6 0
3 years ago
WHICH INEQUILITY IS EQUIVALENT TO X-4<9
frez [133]

-------------------------------------------------------------------------------------------------------------

Answer:  \textsf{x} < \textsf{13}

-------------------------------------------------------------------------------------------------------------

Given:  \textsf{x - 4} < \textsf{9}

Find: \textsf{The simplified inequality}

Solution:  In order to simplify the inequality we can simply add 4 to both sides which would isolate x.

<u>Add 4 to both sides</u>

  • \textsf{x - 4 + 4} < \textsf{9 + 4}
  • \textsf{x} < \textsf{9 + 4}
  • \textsf{x} < \textsf{13}

Therefore, an inequality that would be equivalent to the one that was provided in the problem statement is x < 13.

5 0
2 years ago
Read 2 more answers
Miguel borrowed $825 for a new couch. He will make 9 monthly payments of $95 to repay the loan. How much will he pay in interest
Leona [35]

Answer:

$30 is paid in interest.

Step-by-step explanation:

The couch costs $825 and Miguel will pay 9 * $95 = $855.  So the amount of interest paid is how much in total was paid $855 minuse the cost of the couch $825, or $855-$825 = $30 in interest

3 0
3 years ago
Is statistics class hard? i signed up for it and kinda regretting it
Paladinen [302]

Answer:

yes it is hard

Step-by-step explanation:

Most people don’t really learn statistics until they start analyzing data in their own research.

8 0
3 years ago
Coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negativ
RideAnS [48]

The answer should be answer A. (A,C,D,K)

You can easily figure this out by just looking at the graph.  Just look at all points that are in the blue region(overlapping shaded area) and see all the points inside.

H is not included because it falls on the dotted line.  Any point that falls on a dotted line does not satisfy both inequalities.

If the line were solid however, then the point would satisfy both inequalities.  This is because the line would include the <em>greater than or equal to</em> symbol "≥" which means that the point <em>could</em> equal to 8 or be less than 8.  Since the symbol is not used, it doesn't satisfy both equations.

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3 years ago
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