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inysia [295]
3 years ago
10

Mr. Taylor filled out a bracket for the NCAA National Tournament. Based on his knowledge of college basketball, he has a 0.54 pr

obability of guessing any one game correctly. (a) What is the probability Mr. Taylor will pick all 32 of the first round games correctly
Mathematics
1 answer:
boyakko [2]3 years ago
3 0

Answer:

The probability is 2.7327 \times 10^{-9}

Step-by-step explanation:

The probability of guessing correctly, P = 0.54

Probability of not guessing correctly, q = 1 – P  

q = 1 – 0.54 = 0.46

Number of trials, n = 32

Now calculate the probability that Mr. Taylor will pick 32 correctly in first round of the game.

Below is the calculation using binomial distribution.

Probability = \left ( _{k}^{n}\textrm{} \right )P^{k}(1-P)^{(n-k)} \\= \left ( _{32}^{32}\textrm{} \right )0.54^{32}(0.46)^{(32-32)} \\= 0.54^{32} \\= 2.7327 \times 10^{-9}

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Find the nth term of this number sequence<br> 18, 16, 14, 12,...<br> Pls help
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Step - by - step - explanation

So first find out the pattern. As you can see it just minuses 2 each time. So first

18, 16, 14, 12 (then minus another 2) equals 10, 8, 6, 4, 2.

So 2 is the ninth of the pattern, so 2 will be your answer.

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3 years ago
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there are 90 people in a group. 6 of the people are men. The number of women is 2 times the number of men. the rest are children
stepladder [879]

Answer:

n= 12

Step-by-step explanation:

6*2= 12

Men= 6

Women= 12

12+6= 18

90-18= 72

72:6= 12:1

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2 years ago
If the expression 5+2x was evaluated for x=4 it’s value would be
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5+2x

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Dune Plant
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Determine which numbers the equations need to be multiplied by to form opposite terms of the y-variable. 3x - 1 4 y = 15 2 3 x -
sesenic [268]

In the elimination method, one variable is eliminated from the system of equations to find the value of the other.

To create the opposite terms of the x-variable-

  • The first equation be multiplied by the number 4.
  • Second equation be multiplied by the number -6.

<h3>What is the elimination method?</h3>

To solve the system of equations and find the value of the variables, the elimination method is used.

In this method, one variable is eliminated from the system of equations to find the value of the other.

Given information-

The system of the equation given in the problem is,

\rm 3x-\dfrac{1}{4}y=15

The second equation given in the problem is;

\rm \dfrac{2}{3}x-\dfrac{1}{6}y=6

To eliminate the x term, make the coefficient of x of both equations equal.

It can be done by multiplying the coefficient of x term of the first equation to the second equation and the coefficient of x term of the second equation to the first equation.

The first equation is multiplied by;

\rm 4\times 3x-4\times \dfrac{1}{4}y=15\times 4\\\\12x-y=50

The second equation is multiplied by;

\rm -6 \times \dfrac{2}{3}x- -6 \times\dfrac{1}{6}y= -6 \times6\\\\-4x-y=-36\\\\4x+y=36

Hence, to create the opposite terms of the x-variable-

The first equation is multiplied by the number 4.

The second equation is multiplied by the number -6.

Learn more about the elimination method here;

brainly.com/question/7013345

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