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Kamila [148]
3 years ago
15

Let U represent the set of all people that frequently visit a certain restaurant, surveyed about which food they like best. Let

Mathematics
1 answer:
ankoles [38]3 years ago
7 0

Answer:

a) (C∪P)-B

b) (U-B)∩(U-C)∩(U-P)

c) B∩C∩P

d) P-(B∪C)

e) (B∪C)-P

Step-by-step explanation:

We can use three operations between sets:

  1. Union: X∪Y is the set of elements that belong to X or belong to Y
  2. Intersection: X∩Y is the set of elements that belong to X and belong to Y
  3. Difference: X-Y is the set of elements that belong to X and NOT belong to Y.

The sets we can use in each part are U,B,C and P

a) A customer that likes corn dogs belongs to C, and a customer that likes pizza belongs to P, then a customer who likes corn dogs or pizza belongs to C∪P. The customers from this problem do not like burgers, so they don't belong to B. From this, the required set is (C∪P)-B

b) The customers do not like burgers, so they do not belong to B. However, they visit the restaurant so they belong to U. Thus, the customers belong to U-B. Similarly, because the customers do not like corn dogs and do not like pizza, they belong to U-C and U-P. Then the set of customers is (U-B)∩(U-C)∩(U-P).

c) The customers are in B, C and P so they belong to B∩C∩P.

d) The customers belong to P (they like pizza) but they do not belong to (B∪C), thus they belong to P-(B∪C)

e) The customers belong to B∪C but they do not belong to P, so the required set is (B∪C)-P.

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I Need to know a or b is the answer to this question
grandymaker [24]

Answer:

A

Step-by-step explanation:

in option B, you are adding the 3 pound plastic box to each cardboard box

in option A, you have 5 separate carboard packages, and one 3 pound plastic box

This [option a] is the diagram that matches the scenario given.

Think of the x's as normal numbers. Let's say the weight of each "x" is 1. [it's not I'm aware that this question is different]

if you have 5 x's, you have

1 1 1 1 1 3

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you would only have this if you were to add a 3 pound plastic box to each individual package

3 0
1 year ago
Mercedes would like to have an average of 88 in her math class. There are five assignments with the following grades : 85, 100,
vredina [299]

Answer: 80%

Step-by-step explanation:

To find the average, add all the grades and divide by the number of grades

sum of all grades/number of grades

85 + 100 + 88 + 80 + 95 + x/6

She wants to have an 88, so we can set the expression above equal to 88

448 + x/6= 88

Multiply by 6 on both sides

448 + x = 528

Subtract 448 on both sides

x=80

She needs to score at least an 80 to get an 88 average.

Hope this helped!

3 0
3 years ago
420÷14 show picture please
Andru [333]
14/420
14*3=42
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5 0
3 years ago
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A circle with radius of 3 cm sits inside a circle with radius of 5 cm. What is the area of the shaded region? Round your final a
DiKsa [7]

Hello!!

So first you need to find the area of the green circle. The formula for finding area for a circle is A = π r2. So the area for the green circle is 28.26 cm. Then you need to find the area of the blue circle. (Using the same formula) which would be 78.5. Then you subtract the value of the green circle to get the value of the shaded region which then your final answer is 50.24 cm. Hope this helped!!

8 0
3 years ago
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The circumference of a circular field is 276 yards. What is the diameter of the field? Round your answer to the nearest hundredt
stiv31 [10]

Answer:

d ≈ 87.85 yards

Step-by-step explanation:

The circumference ( C) of a circle is calculated as

C = πd ( d is the diameter ), then

276 = πd ( divide both sides by π )

\frac{276}{\pi } = d , so

d ≈ 87.85 yards ( to the nearest hundredth )

6 0
3 years ago
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