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Strike441 [17]
3 years ago
9

A video company randomly selected 100 of its subscribers and asked them how many hours of shows they watch per week. Of those su

rveyed, 45 watch more than 10 hours per week. Based on the data, if the company has 2500 subscribers, how many watch more than 10 hours per week?
Mathematics
1 answer:
Alik [6]3 years ago
8 0

Answer:

1,135 people

For every 100 people only 45 people watch more than 10 hours per week. So, the ratio is (45/100), since the company has 2500 we want to know what (x/2500) is. The total ratio becomes (1,135/2,500).

The number is found by dividing 2500 by 100 to receive the common factor of 25. You multiply 45 by 25 to receive your total answer.

Step-by-step explanation:

For every 100 people only 45 people watch more than 10 hours per week. So, the ratio is (45/100), since the company has 2500 we want to know what (x/2500) is. The total ratio becomes (1,135/2,500).

The number is found by dividing 2500 by 100 to receive the common factor of 25. You multiply 45 by 25 to receive your total answer.

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The local supermarket buys lettuce each day to ensure really fresh produce. Each morning any lettuce that is left from the previ
jekas [21]

Given Information:

Cost price = $4

Selling price = $10

Salvage value = $1.50

Average demand = μ = 250 boxes

Standard deviation = σ = 34 boxes

Required Information:

Number of lettuce boxes = ?

Answer:

The supermarket should purchase 268 boxes  of lettuce

Step-by-step explanation:

The required number of lettuce boxes that supermarket should purchase is given by

Number of lettuce boxes = μ + (z*σ)

Where μ is the average demand of lettuce boxes, σ is the standard deviation, and z is the z-score which is given by

p = C_us/(C_us + C_os)

The z-score corresponding to probability p will be obtained.

The cost of under stocking is given by

C_us = Selling price - Cost price

C_us = $10 - $4

C_us = $6

The cost of over stocking is given by

C_os = Cost price - Salvage value

C_os = $4 - $1.50

C_os = $2.50

p = C_us/(C_us + C_os)

p = 6/(6 + 2.50)

p = 0.7058

p  = 70.58%

The z-score corresponding to 70.58% probability is approximately 0.54

Number of lettuce boxes = μ + (z*σ)

Number of lettuce boxes = 250 + (0.54*34)

Number of lettuce boxes = 250 + (18.36)

Number of lettuce boxes = 268.36

Number of lettuce boxes ≈ 268

Therefore, the supermarket should purchase 268 boxes of lettuce.

How to use z-table?

Step 1:

In the z-table, find the probability you are looking for and note down the two-digit number of the given row. (e.g 0.5, 2.2, 0.5 etc.)

Step 2:

Then look up at the top of z-table and note down the value in the column for the remaining decimal point in the range of 0.00 to 0.09.

Step 3:

Finally, add the numbers obtained from step 1 and step 2.

8 0
3 years ago
How do you solve the equation y-3=-¼(x+3)
likoan [24]

Because you have two variables and only one equation, you can only solve for approximate answers, and not complete, absolute answers.

<h3><u>You can simplify this equation to x = -4y + 12</u></h3>

y - 3 = -1/4(x + 3)

Distributive property.

y - 3 = -1/4x - 3/4

Multiply all terms by 4.

4y - 12 = -x

Multiply all terms by -1

-4y + 12 = x

8 0
2 years ago
The equation f(x)=x-5  translated 4 units to the left is
laila [671]
F(x)=x-5
f(4)=x-5
f(4)=4-5
f(4)=-1
4 0
3 years ago
Which descriptions from the list below accurately describe the relationship
Pachacha [2.7K]

Answer:

B is the answer

Step-by-step explanation:

8 0
2 years ago
Maria plans to fill pots in her garden with soil and plant food. Maria has 8 1/2 quarts of soil as 1 1/2 quarts of plant food. E
babymother [125]
1. You have the following information:
<span>
 - Maria has 8 1/2 quarts of soil.
 - Each pot requires 3/4 quart of soil.
</span>
 2. Keeping this on mind, you can convert the mixed number 8 1/2 and the fracion 3/4 to decimals, as below: 

 8 1/2=8.5 quarts
 3/4=0.75 quarts

 3. Therefore, you have:

 1 pot-----0.75 quarts
       x-----8.5 quarts

 x=(8.5x1)/0.75
 x=11 pots
<span>
 For how many pots does Maria have enough soil?
</span>
 The answer is: 11 pots
 
 
 
8 0
2 years ago
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