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Ksivusya [100]
2 years ago
7

7. A box contains fifteen billiards balls, numbered 1 through 15. Anna draws a ball, records the number, and then returns it to

the box. Then Vicki draws a ball. Find the probability of getting a 9 then a 3. *
Mathematics
1 answer:
liraira [26]2 years ago
7 0

Answer:

0.0044 = 0.44%

Step-by-step explanation:

If we have 15 balls, each one with a number from 1 to 15, and no number repeats, the probability of drawing a 9 is 1/15, as there is only one ball with number 9 inside the 15 balls.

After picking the first ball, it is returned, so we still have 15 balls with 15 differents numbers.

So, the probability of the second ball being number 3 is also 1/15 (just one ball with number 3 inside 15 balls)

So, the final probability is the product of each of these probabilities:

P = (1/15) * (1/15) = 1/225 = 0.0044 = 0.44%

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serg [7]
By definition of absolute value,

g(x)=6x|x|=\begin{cases}6x^2&\text{for }x\ge0\\-6x^2&\text{for }x

Differentiating once gives

g'(x)=\begin{cases}12x&\text{for }x>0\\?&\text{for }x=0\\-12x&\text{for }x

As x\to0 from either side, we find that g'(x)\to0, so really

g'(x)=\begin{cases}12x&\text{for }x\ge0\\-12x&\text{for }x

Differentiating again, we find

g''(x)=\begin{cases}12&\text{for }x>0\\?&\text{for }x=0\\-12&\text{for }x

but this time, the limit does not exist as x\to0 from either side, so g''(0) is undefined. However, we see that g''(x)>0 when x>0, and g''(x) when x, and we know that g(x) is continuous at x=0. This means the concavity must change at x=0, so (0, 0) is the inflection point. (The takeaway is that inflection points *can* occur when the second derivative is undefined, but not always.)
6 0
2 years ago
A solid wooden block in the shape of a rectangular prism has a length,width and height of 3/8 cm, 1/8 cm, and 5/8 cm, respective
levacccp [35]
Volume of a rectangular prism: length times width times height:
3/8 * 1/8 *5/8= 15/512 cubic cm

the volume of a small cubic wooden block: 1/8 *1/8 *1/8=1/512

How many small cubic blocks: the volume of the solid wooden block divided by the volume of the small cubic block:
15/512 ÷ 1/512 =15
3 0
2 years ago
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Suppose an unknown compound XY has an X-to-Y mass ratio of 4.0. If decomposition of compound XY gives 12.0 grams of X, then how
valina [46]

Answer:then the number of grams of Y that must form is 3

Step-by-step explanation:

Suppose an unknown compound XY has an X-to-Y mass ratio of 4.0, it means that

X/Y = 4

Crossmultiplying,

X = 4Y

If decomposition of compound XY gives 12.0 grams of X, then the number of grams of Y that must form would be

X = 4Y

Substituting X = 12 into the equation, it becomes

12 = 4Y

Y = 12/4 = 3 grams

6 0
2 years ago
8(5021)(3054)+(-8)(-5021)(-3054)+3
kifflom [539]

Answer:

3

Step-by-step explanation:

first two terms cancel eachother out!

5 0
2 years ago
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natka813 [3]

Answer:

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Step-by-step explanation:

D'Naisa mixed the following:

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We are to determine in total, the number of quarts of paint that she mixed. this is done by converting each of the volume to quart.

<u>1 gallon of orange paint</u>

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Therefore,

Total Volume of Paint Mixed in quart= Volume of Orange+Yellow+Red

=4+2+1.5

=7.5 Quarts

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2 years ago
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