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AVprozaik [17]
3 years ago
5

From the information given, (a) construct the indicated sample space and (b) answer the probability question.

Mathematics
1 answer:
avanturin [10]3 years ago
3 0

Answer:

(a) 3 (b) 1/3

Step-by-step explanation:

The probability is defined as the ratio  of number of elements in event to the number of elements in sample space.

(a) As the total number of child is 3, so the number of elements in sample space = 3

(b) The sample space is { boy, boy, girl}

So, the probability is 1/3.  

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An apartment complex on Ferenginar with 250 units currently has 223 occupants. The current rent for a unit is 892 slips of Gold-
Triss [41]

Answer:

Step-by-step explanation:

Given data

Total units = 250

Current occupants = 223

Rent per unit = 892 slips of Gold-Pressed latinum

Current rent = 892 x 223 =198,916 slips of Gold-Pressed latinum

After increase in the rent, then the rent function becomes

Let us conside 'y' is increased in amount of rent

Then occupants left will be [223 - y]

Rent = [892 + 2y][223 - y] = R[y]

To maximize rent =

\frac{dR}{dy}=0\\=2(223-y)-(892+2y)=0\\=446-2y-892-2y=0\\=-446-4y=0\\y=\frac{-446}{4}=-111.5

Since 'y' comes in negative, the owner must decrease his rent to maximixe profit.

Since there are only 250 units available;

y=-250+223=-27\\\\maximum \,profit =[892+2(-27)][223+27]\\=838 * 250\\=838\,for\,250\,units

Optimal rent - 838 slips of Gold-Pressed latinum

8 0
3 years ago
A number is chosen at random from 1-50. find the probability of selecting composite numbers
Ganezh [65]
.68 or a 68% chance
8 0
3 years ago
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||x-4|-2|&lt;3 <br> Solve for X
miv72 [106K]

Answer:

x<11

Step-by-step explanation:

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Simplifies to:

x−8<3

Let's solve your inequality step-by-step.

x−8<3

Step 1: Add 8 to both sides.

x−8+8<3+8

x<11

3 0
3 years ago
If a &gt; b and b &gt; C, what is true about the
Stella [2.4K]

Answer:

  a > c

Step-by-step explanation:

The Transitive Property of Inequality can be written as ...

  If a > b and b > c, then a > c.

Based on the above, we can conclude from your premises that a > c.

5 0
2 years ago
Find the area.<br> 5.cm<br> 5 cm<br> 3 cm<br> 8 cm
Talja [164]

Answer: 600

Step-by-step explanation:

5x5=25

3x8=24

25x24=600

7 0
3 years ago
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