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Ilia_Sergeevich [38]
3 years ago
8

Determine polynomial expressions for the perimeter and the area of the figure shown below

Mathematics
1 answer:
kenny6666 [7]3 years ago
5 0

Perimeter: 4x + 2

The perimeter is equal to 2 times the length plus 2 times the width.

2(x + 1) + 2(x)

2x + 2 + 2x

4x + 2

Area: x^2 + x

The area is equal to the length times the width.

(x + 1)(x)

x^2 + x

Hope this helps! :)

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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
Thirty students are eating lunch at 5 tables. Each table has the same number of students. How many students are sitting at each
kaheart [24]
30 ÷ 5
6 students at each table

Hope this helps!
5 0
3 years ago
Read 2 more answers
HELP!! 70 points will be given!<br> Picture included
kkurt [141]

Answer: a) -13/16

Step-by-step explanation: Start by setting equations equal and rearrange X^3 - x^2 + 1 = 0. Visual inspection of graph shows x between -1 and -1/2. Start with x = 3/4 plug in and calculate: just a little too small. Try going halfway towards -1: x =-7/8 Plug in and the answer is very far from 0. Go halfway back towards -3/4: -13/16 and the equality is very close.

8 0
3 years ago
What is 4/3 times 3/7=?
Sidana [21]
The answer is 4/7 in simplest form
3 0
3 years ago
What property was used in step 1 to arrive at step 2?
wariber [46]
The distributive property (the 5 is distributed to both the x and -7)
8 0
3 years ago
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