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2 years ago

5

A bag contains three marbles, eight blue marbles and nine red marbles. If the marbles are picked at random, what is the probabil

ity of obtaining two blue marbles without replacement? Round off the final answer correct to 2 decimal places.

1 answer:

Phoenix [80]2 years ago

5 0

The probability of obtaining two blue marbles without replacement is equal to 0.15.

We are given that:

The number of yellow marbles = 3

Number of red marbles = 9

Number of Blue marbles = 8

Total marbles = 3 + 9 + 8

Total marbles = 20

Now, we have to calculate the probability of obtaining two blue marbles without replacement.

The probability will be:

P( obtaining two blue marbles without replacement ) = 8 / 20 × 7 / 19

P( obtaining two blue marbles without replacement ) = 56 / 380

P( obtaining two blue marbles without replacement ) = 0.15

Therefore, the probability of obtaining two blue marbles without replacement is equal to 0.15.

Learn more about probability here:

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Answer:

Order of rotation is the number of times you can rotate the geometric figure so that it looks exactly the same as the original figure.

Step-by-step explanation:

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3 years ago

Solve the following differential equation: y" + y' = 8x^2

PtichkaEL [24]

Answer:

$y=y_p+y_h = \frac{8}{3}x^3-8x^2+16x+ C_1 + C_2e^{-x}$

Step-by-step explanation:

Let's find a particular solution. We need a function of the form $y= ax^3+bx^2+cx+d$ such that

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then, 3a= 8, 2b+6a =0 and c+2b = 0. With the first equation we obtain

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So, our particular solution is $y_p= \frac{8}{3}x^3-8x^2+16x$ .

Now, let's find the solution $y_p$ of the homogeneus equation $y''+y'=0$ with the method of constants coefficients. Let $y=e^{\lambda x}$

$y'=\lambda e^{\lambda x}$

$y''=\lambda^2e^{\lambda x}$

then $\lambda e^{\lambda x}+\lambda^2 e^{\lambda x} = 0$

$e^{\lambda x}(\lambda +\lambda^2)= 0$

$(\lambda +\lambda^2)= 0$

$\lambda (1+\lambda)= 0$

$\lambda =0$ and $\lambda)= -1$ .

So, $y_h = C_1 + C_2e^{-x}$ and the solution is

$y=y_p+y_h =\frac{8}{3}x^3-8x^2+16x+ C_1 + C_2e^{-x}$ .

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3 years ago

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Minchanka [31]

Answer:

They are not similar.

Step-by-step explanation:

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3 years ago

A triangle with two vertices located at (5, −8) and (5, 4) has an area of 48 square units. Determine one possible location of th

RoseWind [281]

Answer:x=1.5

Step-by-step explanation:

Given

Two points co-ordinates are given

A=(5,-8)

B=(5,4)

let other point be C =(x,y)

Area of triangle is given by

$A=\begin{vmatrix}5& -8&1\\5& 4&1\\x& y&1\end{vmatrix}$

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3 years ago

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ANEK [815]

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3 years ago

Read 2 more answers