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allochka39001 [22]
3 years ago
7

4. What is the formula to find the volume of a sphere?

Mathematics
1 answer:
adell [148]3 years ago
5 0

Answer:

The formula of the volume of the sphere is V = (4/3)×π×r³ where r is the radius of the sphere.

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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
Write an equivalent expression for 27x + 18.
Ugo [173]

Answer:

<u><em>9 (3x+2)</em></u>

Step-by-step explanation:

<u>27x + 18 = 9 (3x+2)</u>

<em>By simplifying the Given expression you get 9 (3x+2) </em>

<em>and no matter how many times you simplify that expression you always get the expression you started with so in other word their equavalent to each other</em>

<em />

<u><em>Hope this helps</em></u>

3 0
3 years ago
If you have 6 oranges and eat 3 2/3 how many do you have left
VikaD [51]
2 1/3 because you ate 3 and have 1/3 left of an orange

4 0
3 years ago
Read 2 more answers
Epress 4+3i/3-4i in form of a + bi .evaluate your final answer raised to power 6​
VashaNatasha [74]

Answer:(a) Express the complex number (4 −3i)3 in the form a + bi. (b) Express the below complex number in the form a + bi. 4 + 3i i (5 − 6i) (c) Consider the following matrix. A = 2 + 3i 1 + 4i 3 − 3i 1 − 3i Let B = A−1. Find b22 (i.e., find the entry in row 2, column 2 of A−1)

Step-by-step explanation:

7 0
2 years ago
Find ,H assuming the triangles formed are similar.
Murljashka [212]

Answer:

15

Step-by-step explanation:

if you divide 20 by 8, then you get 2.5. multiply that by six, and you get your answer.

6 0
3 years ago
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