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SSSSS [86.1K]
3 years ago
14

Consider a biased coin with the probability of turning up head 0 < p < 1. We flip the coin 10 times and get a sequence of

outcomes: {T, H, H, T, T, H, H, H, T, H}. We know that the probability (likelihood) of observing this sequence.
Mathematics
1 answer:
qwelly [4]3 years ago
8 0

Answer:

Probability of obtaining 6H and 4T = 0.2051

Step-by-step explanation:

Since for a fair coin,

Probability of obtaining Head = 0.5

p = 0.5

q = 1-p = 0.5

Probability of obtaining 6H and 4T = 10C6 (p)^6(q)^4 = 210*0.5^6*0.5^4

P(6H, 4T) = 0.2051

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Pls, look at picture for the question.
Yuri [45]

Answer:

B<C

Step-by-step explanation:

-a is the opposite of a. Since a is a negative number, it will become positive and be bigger than b, which is negative.

c is a positive number, so the opposite will be negative and can not be bigger than c.

8 0
2 years ago
A basketball has a diameter of 9.5 inches what is the volume of the basketball using 3.14 for pi.
Step2247 [10]

Answer:

  448.69 in^3

Step-by-step explanation:

The volume of a sphere is given by the formula ...

  V = (4/3)πr^3

We want to use diameter, so we can substitute r = d/2 into the formula:

  V = (4/3)π(d/2)^3 = (4/(3·8))πd^3

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For the given numbers, ...

  V = (3.14/6)(9.5^3) ≈ 448.69 in^3 . . . . volume of a basketball

7 0
3 years ago
Consider the tables that represent ordered pairs corresponding to a function and its inverse. When comparing the functions using
lara31 [8.8K]

Answer:

D)The range of f(x) includes values such that y ≥ 1, so the domain of f–1(x) includes values such that x ≥ 1.

Step-by-step explanation:

The missing tables are:

First table  

x:    0  1    2

f(x): 1   10  100

Second table

x:         1000   100   10

f^-1(x):  3          2       1  

Option A is not correct because f(x) has a y-intercept at (0, 1)

If f(x) has a y-intercept, then f^-1(x) has a x-intercept, which is located at (1, 0). Then option B is not correct

Option C is not correct because the domain of f^-1(x) is associated with x values.

Option D is correct because the domain of f(x) is the range of f^-1(x) and vice versa

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Andrej [43]
Yes he does. If you cut something 6 times you make 7 pieces
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3 years ago
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