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il63 [147K]
3 years ago
14

An urn contains 8 green and 9 white balls. Six balls are randomly drawn from the urn in succession, with replacement. That is, a

fter each draw, the selected ball is returned to the urn. What is the probability that all 6 balls drawn from the urn are white? Round your answer to three decimal places.
Mathematics
1 answer:
gulaghasi [49]3 years ago
4 0

Answer:

The probability is 0.022

Step-by-step explanation:

Firstly, we need to get the total number of balls in the urn

mathematically, we have this as ;

8 + 9 = 17

now, the probability of selecting a white ball will be the number of white balls divided by the total number of balls

Mathematically, we have this as 9/17

Now, since the event is carried out with replacement, the probability for the six times is the same

So, we have the probability as;

(9/17)^6 = 0.022

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Hank’s teacher asked him to verify that the product (y – 3)(y2 + 3y + 9) is a difference of cubes. He used the distributive prop
kicyunya [14]

Answer:

a = 9

Step-by-step explanation:

expand (y - 3)(y² + 3y + 9)

= y³ + 3y² + 9y - 3y² - 9y - 27

compare the coefficients of like terms with

y³ + 3y² + ay - 3y² - ay - 27

ay = 9y and - ay = - 9y ⇒ a = 9


7 0
3 years ago
Read 2 more answers
If a(12)= x/3+2 and b(x)=12x, what is a(12)+b(1)?
bonufazy [111]

Answer:

a(12) = 12 \div 3 + 2  \\  + b(1) =  12 \times 1  \\  = 4 + 2 + 12 = 18

5 0
2 years ago
Need help please! Will give it to the brainliest. Which expression models the bacterium's volume? Picture is below.
Tomtit [17]

The expression C. \pi (1)^{2} (0.5) cubic \mu \mathrm{m} represents the bacterium's volume.

Step-by-step explanation:

Step 1:

The E. Coli bacterium is in the shape of a cylinder.

The volume of a cylinder is given by multiplying π with the square of the radius (r²) and the height of the cylinder.

The volume of a cylinder, V=\pi r^{2} h.

In the given diagram, E. Coli has a radius of 1 \mu \mathrm{m} and a height of 0.5 \mu \mathrm{m}.

Step 2:

By substituting the values in the equation, we get

The volume of the E. Coli bacterium = \pi (1)^{2} (0.5) cubic \mu \mathrm{m}.

This is option C.

7 0
3 years ago
What is the graph of f(x)=x^2-2x+3
Neko [114]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

f(x)=x^{2}-2x+3

This is the equation of a vertical parabola open upwards

The vertex is a minimum

The vertex is the point (1,2)

The y-intercept is the point (0,3)

The function does not have x-intercepts

see the attached figure

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3 years ago
Show your work (19−7)^( (2) ) −8*3+4*3−5
ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

1 Simplify 19-7 to 12.

12^2−8×3+4×3−5

2 Simplify 12^2 to 144

144−8×3+4×3−5

3 Simplify 8×3 to 24.

144−24+4×3−5

4 Simplify 4×3 to 12.

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5 Simplify 144-24 to 120.

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6 Simplify 120+12 to 132.

132-5

7 Simplify.

127

3 0
2 years ago
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