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Alex_Xolod [135]
3 years ago
14

Let f(x)=4(1/3)^2x. Which is equal to f(1)?

Mathematics
1 answer:
Delvig [45]3 years ago
6 0

Answer:

\frac{4}{9}

Step-by-step explanation:

f(1) = 4(\frac{1}{3})^{2*1}  = 4(\frac{1}{9}) =  \frac{4}{9}

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Find the probability of each event.
jeka57 [31]

Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • The coin is fair, hence p = 0.5.
  • The coin is tossed 10 times, hence n = 10.

The probability that is lands tails up at least nine times is given by:

P(X \geq 9) = P(X = 9) + P(X = 10)

In which:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098

P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.001

Hence:

P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0098 + 0.001 = 0.0108

0.0108 = 1.08% probability of the coin landing tails up at least nine times.

More can be learned about the binomial distribution at brainly.com/question/24863377

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5 0
2 years ago
Fraction less than 5/6 with a denominator of 8
e-lub [12.9K]
7/8 is the answer hope this helps
8 0
3 years ago
Solve for n.<br> 2n+3=-3.2
Vladimir [108]

Answer:

n= -3.1

Hope this helps!

4 0
3 years ago
Read 2 more answers
Janelys buys milk and apples at the store.
Natali5045456 [20]

Answer:

Each bag costs $4.75

Step-by-step explanation:

41.22 = 3.22 + 8x

38 = 8x

4.75 = x

7 0
3 years ago
How many times greater is 8 x 10^-2 than 2x10^-6
umka21 [38]

Answer:

40,000

Step-by-step explanation:

You want to start with the exponent and then multiply afterward in both of the equations.

8 x 10^-2:

10^-2 = 0.01

0.01 x 8 = 0.08

2 x 10^-6:

10^-6 = 0.000001

0.000001 x 2 = 0.000002

Obviously, you can see the relationship between 8 and 2 in the division.  Now, you just divide 0.08 by 0.000002 and you get 40,000.

4 0
2 years ago
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