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Anna [14]
2 years ago
9

20 points probability question

Mathematics
2 answers:
krek1111 [17]2 years ago
7 0

Answer:

a. n^2-2n+1/n squared

b. 9 green counters

Step-by-step explanation:

just as you role 3 dices and the chances are MULTIPLIED, the same goes for this problem.

n-1/n times n-1/n would create the probability of getting 2 green counters randomly from the bag's possibility.

n-1/n times n-1/n can be said as (n-1) squared or in simple terms:

n^2 -2n+1 or in words, n squared -2n +1.

divided by n squared is the fraction probability in simplest form:

n^2-2n+1/n squared

the next question is actually much easier:

0.9 is 90% in percentages, this can be detrimental to your grade if your teachers asked you for the decimal, not percentage of it.

for 1 every yellow counter, there is 9 green counters. so in the bag, there is one yellow counter meaning there are 9 green counters in the bag (after finishing the first question)

Anni [7]2 years ago
3 0

Part (a)

<h3>Answer:  (n-2)/n</h3>

----------------

Explanation:

There are n-1 green counters to start out of n counters total.

The probability of selecting a green counter is (n-1)/n

The probability of selecting a second green counter is (n-2)/(n-1) since we're not putting the first counter back.

Multiplying the two fractions leads to (n-2)/n

Note how the (n-1) terms cancel.

===============================================================

Part (b)

<h3>Answer:  19 green counters</h3>

----------------

Explanation:

We set the result of part (a) equal to 0.9 and solve for n

(n-2)/n = 0.9

(n-2)/n = 9/10

10(n-2) = 9n ... cross multiply

10n-20 = 9n

10n-9n = 20

n = 20

We have 20 counters in the bag. One counter is yellow and the remaining n-1 = 20-1 = 19 are green.

The probability of getting one green counter is 19/20

The probability of a second green counter is 18/19

The probability of two green counters is (19/20)*(18/19) = 18/20 = 9/10 = 0.9

This helps confirm the answer.

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seropon [69]

Answer:

The train need to leave Portland at 03:27 am

Step-by-step explanation:

step 1

Find out how long it takes the train to travel from Portland, Oregon, to Los Angeles, California

Remember that

The speed is equal to divide the distance by the time

so

The time is equal to divide the distance by the speed

Let

s ---> the speed in miles per hour

d ---> the distance in miles

t ---> the time in hours

t=\frac{d}{s}

we have

d=963\ mi

s=60\ mi/h

substitute

t=\frac{963}{60}=16.05\ hours

step 2

Adds 30 minutes (time it takes to get from the train station to her aunt's house)

Remember that

30\ minutes=0.50\ hours

16.05+0.50=16.55\ hours

Convert to minutes

16.55\ h=16.55(60)\ min=993\ min

step 3

Remember that

8 p.m=20:00\ hrs

Convert to minutes

20(60)=1,200\ min

Subtract 993 minutes from 1,200 minutes

1,200-993=207\ min

Convert to hours+minutes

207\ min=207/60=3.45\ hours

0.45\ h=0.45(60)=27\ min

so

3\ h+27\ min

00:00 + 03:27=03:27\ am

therefore

The train need to leave Portland at 03:27 am

8 0
3 years ago
Mary's job is to package kleenex boxes to ship out to sell at stores. the company
swat32

Volume is a three-dimensional scalar quantity. The number of kleenex boxes that can fit in the large box is 4096.

<h3>What is volume?</h3>

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the larger box have a length of the side as 4 feet. Also, the kleenex box is a cube with side lengths of 3 inches. Therefore, the number of cubes that will fit is,

Number of boxes = Volume of Larger box / Volume of kleenex box

Number of box = (4 feet)³ / (3 inches)³

Number of box = (48 inches)³ / (3 inches)³

Number of box = 4096

Hence, the number of kleenex boxes that can fit in the large box is 4096.

Learn more about Volume:

brainly.com/question/13338592

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4 0
1 year ago
A certain company's main source of income is a mobile app. The company's annual profit (in millions of dollars) as a function of
liberstina [14]

Answer:

x = $3, or x = $11


Step-by-step explanation:

The equation given is P(x)=-2(x-3)(x-11)

where

  • P(x) is the profit, and
  • x is the app price

<u>We want app prices (x's) when profit (P(x)) is 0, so plugging in into the equation:</u>

P(x)=-2(x-3)(x-11)\\0=-2(x-3)(x-11)\\0=(x-3)(x-11)

<em>It means (x-3) = 0  OR  (x-11) = 0</em>

So, x = 3, or 11

7 0
3 years ago
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Please help me on number 11
AysviL [449]

Answer:

41.1

Step-by-step explanation:

4 0
2 years ago
the weightbof the rectangle is 80 grams the weight of the triangle is double the weight of the circle determine the weight if th
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The weight of the circle that is double the weight of the triangle is 20 grams.

<h3>How to find weight ?</h3>

The weight of the rectangle is 80 grams.

The weight of the triangle is double the weight of the  weight of the circle.

A rectangle is made up of 2 triangles. Therefore,

weight of each triangle = 80 / 2 = 40 grams

Since, the weight of the triangle is double the weight of the circle, the weight of the circle can be calculated as follows:

weight of circle = 40 / 2

Therefore,

weight of the circle = 20 grams.

learn more on weight here: brainly.com/question/23312072

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2 years ago
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