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grandymaker [24]
3 years ago
8

A coin is tossed 6 times, what is the probability of getting six tails?

Mathematics
2 answers:
Leno4ka [110]3 years ago
5 0
0.5^6 = 0.0156

Assuming an unbiased coin.
ozzi3 years ago
3 0
The probability of getting all tails is 1.5625%.
You might be interested in
How do i calculate percent accuracy? I got 20 questions out of 21 correct but I need to figure out the percent accuracy for anot
Mandarinka [93]
You need to do 20 divide by 21 to get a decimal. Then if you multiply the decimal by hundred you should get the percentage.
7 0
3 years ago
Which function has an asymptote at x= 39
LekaFEV [45]

Answer:

option B : f(x)= log_7(x-39)

Step-by-step explanation:

(a) f(x) = 7^{x-39}

For exponential function , there is no vertical asymptotes

General form of exponential function is

f(x) = n^{ax-b}+k

f(x) = 7^{x-39}

In the given f(x) the value of k =0

So horizontal asymptote is y=0

(b) lets check with option

f(x)= log_7(x-39)

To find vertical asymptote we set the argument of log =0  and solve for x

Argument of log is x-39

x-39=0 so x=39

Hence vertical asymptote at x=39


3 0
3 years ago
Read 2 more answers
34​% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and a
finlep [7]

Answer:

a) There is a 18.73% probability that exactly two students use credit cards because of the rewards program.

b) There is a 71.62% probability that more than two students use credit cards because of the rewards program.

c) There is a 82% probability that between two and five students, inclusive, use credit cards because of the rewards program.

Step-by-step explanation:

There are only two possible outcomes. Either the student use credit cards because of the rewards program, or they use for other reason. So, we can solve this problem by the binomial distribution.

Binomial probability

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

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

And \pi is the probability of X happening.

In this problem, we have that:

10 student are sampled, so n = 10

34% of college students say they use credit cards because of the rewards program, so \pi = 0.34

(a) exactly​ two

This is P(X = 2).

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

P(X = 2) = C_{10,2}.(0.34)^{2}.(0.66)^{8} = 0.1873

There is a 18.73% probability that exactly two students use credit cards because of the rewards program.

(b) more than​ two

This is P(X > 2).

Either a value is larger than two, or it is smaller of equal. The sum of the decimal probabilities must be 1. So:

P(X \leq 2) + P(X > 2) = 1

P(X > 2) = 1 - P(X \leq 2)

In which

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

So

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

P(X = 0) = C_{10,0}.(0.34)^{0}.(0.66)^{10} = 0.0157

P(X = 1) = C_{10,1}.(0.34)^{1}.(0.66)^{9} = 0.0808

P(X = 2) = C_{10,2}.(0.34)^{2}.(0.66)^{8} = 0.1873

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0157 + 0.0808 + 0.1873 = 0.2838

P(X > 2) = 1 - P(X \leq 2) = 1 - 0.2838 = 0.7162

There is a 71.62% probability that more than two students use credit cards because of the rewards program.

(c) between two and five inclusive

This is:

P = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

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

P(X = 2) = C_{10,2}.(0.34)^{2}.(0.66)^{8} = 0.1873

P(X = 3) = C_{10,3}.(0.34)^{3}.(0.66)^{7} = 0.2573

P(X = 4) = C_{10,4}.(0.34)^{4}.(0.66)^{6} = 0.2320

P(X = 5) = C_{10,5}.(0.34)^{5}.(0.66)^{5} = 0.1434

P = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.1873 + 0.2573 + 0.2320 + 0.1434 = 0.82

There is a 82% probability that between two and five students, inclusive, use credit cards because of the rewards program.

6 0
3 years ago
Write the sum using summation notation, assuming the suggested pattern continues. 5 - 15 + 45 - 135 + ...
nalin [4]

Answer:

<em>summation of five times negative three to the power of n from n equals zero to infinity</em>

Step-by-step explanation:

<u>Summation Notation </u>

It represents the sum of a finite or infinite number of terms. Let's analyze the terms of the given succession:

5-15+45-135+...

If we take 5 as a common factor, we have

5(1-3+9-27+...)

The parentheses contain the alternate sum/subtraction of powers of 3. The odd terms are positive, the even terms are negative, thus the exponent must be n starting from 0 or n-1 starting from 1

The summation is then represented by

\sum_{n=0}^{\infty}5(-3)^n

This corresponds with the option:

<u>summation of five times negative three to the power of n from n equals zero to infinity</u>

8 0
3 years ago
If the total debt in 2012 was 2978 billion, about how much was total credit card debt
Alex_Xolod [135]

Answer:

120Million

Step-by-step explanation:

thatev whwu g U (EDIT: IM SO SORRY THATS NOT THE ANSWER MY SISTER DID THAT)

8 0
3 years ago
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