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just olya [345]
1 year ago
11

The radius of Circle L is 3m. The length and width of Rectangle M is 12m and 18m, respectively. If Point P will be randomly plac

ed on the image below, what is the probability that the point will be placed within Circle L. Use 3 for Pi in this problem.

Mathematics
1 answer:
Roman55 [17]1 year ago
5 0

To get the probability of Point P be placed within the circle L, we need to get the ratio between the area covered by the circle and the area covered by the rectangle.

The area of the circle is:

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5(<br> 5X<br> –<br> 10)<br> =<br> 15 solve it ​
olga55 [171]
5(5x-10)=15
5x-10=3
5x=10+3
5x=13
Divide both sides by 5-5 and 5 cancel out to leave you with x 13/5 =2.6
X=2.6
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3 years ago
Name two ways you can figure out an area of a composite figure.
TiliK225 [7]

Answer: they contain valuable items and are very interesting

Step-by-step explanation:

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3 years ago
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
A grocery store will only accept yellow onions that are at least 2.75 in. In diameter. A grower has a crop of onions with diamet
Paraphin [41]

Answer:

Step-by-step explanation:

Calculate z-score firstly

z-score = (x-mean)/SD = (2.75-2.5)/0.25 = 0.25/0.25 = 1

P( x greater than or equal to 2.75) = P(z greater than or equal to 1)

= 1 - p(z <1)

P(z<1) from table = 0.84134

1-p(z<1) = 0.15866 or 15.866%

4 0
3 years ago
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