MATHEMATICS COLLEGE

A given binomial distribution has 10 trials and probability of success p=1/3. Compute the standard deviation and explain your solution

Answers

Answer 1

Answer:

Answer: 1.49

Step-by-step explanation:

We know that the standard deviation in a binomial distribution is given by :-

$\sigma=√(n\cdot p\cdot (1-p))$ , where n is the number of trials and p is the probability of success.

Given : The number of trials : $n=10$

The probability of success = $p=(1)/(3)$

Then , the standard deviation will be :-

$\sigma=\sqrt{10\cdot (1)/(3)\cdot (1-(1)/(3))}\n\n\Rightarrow\ \sigma=1.490711985\approx1.49$

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Use the elimination method to solve the system of equations. Choose the correct ordered pair. 3y=x-1 x-2y=2

Answers

Answer:

correct ordered pair ( 4 , 1 ).

Step-by-step explanation:

Given : 3y=x-1 and x-2y=2.

To find : Use the elimination method to solve the system of equations.

Solution : We have given that

3y = x - 1 ------(1)

x - 2y = 2--------(2)

On subtracting x from both sides from equation 2.

-2y = -x + 2 --------(2)

Now adding equation 1 and 2

3y = x - 1 ------(1)

-2y = -x + 2 --------(2)

____________

y = 0 + 1

y = 1.

Now plug the value y = 1 in equation 1

3 (1) = x - 1.

3 = x - 1.

On adding both sides by 1

3 +1 = x

x = 4.

Pairs ( 4 , 1 )

Therefore, correct ordered pair ( 4 , 1 ).

Just need help with this simple math question
Simplify:
2(n-4)

Answers

2(n-4) = 2n - 8 .........distributive property

the answer is 2n - 8
you are distributing 2 into n and 4 so 2 times n is 2n and 2 times 4 is 8

A line with a slope of -2 passes through the point (4, 7). Write an equation for this line in point-slope form.

Answers

Answer:

The equation in point-slope is $y-7=-2(x-4)$ .

Step-by-step explanation:

Point-slope is a specific form of linear equations in two variables:

$y-b=m(x-a)$

When an equation is written in this form, m gives the slope of the line and (a, b) is a point the line passes through.

We want to find the equation of the line that passes through (4, 7) and whose slope is -2. Well, we simply plug m = -2, a = 4, and b = 7 into point-slope form.

$y-7=-2(x-4)$

$\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{7})~\hspace{10em} slope = m\implies -2 \n\n\n \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\n \cline{1-1} \n y-y_1=m(x-x_1) \n\n \cline{1-1} \end{array}\implies y-7=-2(x-4)$

Helppp meeYou walk into a restaurant. In the room there are 10 people who are 21 years old , 3 people are 26 years old 7 people are 29 years old and 9 people who are 31 years old. 17 are men. how many people are in the restaurant.

Answers

There are 29 people in the restaurant. there are 12 Females there. (I know you didn't ask that but I thought you should know.

Hope this helped :D

What are the solutions to the equation 0=x squared- x-6

Answers

Answer:

Factor to this equation out, the easiest way is to solve for the two x values that add up to -1 but when multiplied is equal to -6. It should look like this: (x +- ?)(x +- ?).

The factored out form is then (x - 3)(x +2), because -3 + 2 = -1 and when multiplied together gives -6.

x - 3 = 0

x = 3

x + 2 = 0

x = -2

The two solutions are therefore, x = 3 and x = -2.

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