All categories

4 years ago

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]4 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:

Union: X∪Y is the set of elements that belong to X or belong to Y
Intersection: X∩Y is the set of elements that belong to X and belong to Y
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.

You might be interested in

4. You are traveling to Chicago for a job interview. You leave Toledo, Ohio, at 5:45 A.M. and arrive in Elkhart, Indiana, at 8:1

Dvinal [7]

Answer:

48 mph

Step-by-step explanation:

First we need to find the distance from Elkhart to Chicago. Toledo to Elkhart is 136 miles and Toledo to Chicago 244 miles.

So the distance from Elkhart to Chicago can be calculated, since Chicago is farther from Toledo than Elkhart, as: distance(Toledo to Chicago) - distance(Toledo to Elkhart). These distances are given in the problem, so the distance from Elkhat to Chicago is: 244 miles - 136 miles = 108 miles.

This problem basically wants to know the slowest you can be yet still ariving on time. If you are the minimum speed, you will arrive in Chicago exactly at 10:30 A.M. So you have 2 hours and 15 minutes(10:30 A.M - 8.15A.M.) to drive 108 miles.

15 minutes is a fourth of a hour, so you have 2.25hours to go through 108 miles.

The minimum speed you must maintain is 108mph/2.25h = 48mph.

5 0

3 years ago

The students in a class of 24 share 48 apple slices and 36 orange slices equally among them. How many pieces of fruit did each s

Inga [223]

48 + 36 = 84

84/ 24 = 3.5

The students will each get 2 apple slices and 1 and a half orange slices.

5 0

4 years ago

*BRAINIEST & 20 POINTS*<br><br> !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

kondor19780726 [428]

Answer:

8 = x

y = 29

Step-by-step explanation:

4x + 17 = y + 20 because vertical angles theorem.

y + 20 = 5x + 9 because interior angles theorem.

4x + 17 = 5x + 9 because same side interior angles theorem.

Subtract 9 from both sides and subtract 4x from both sides.

8 = x

Plug 8 in for x and solve.

5 times 8 is 40, plus 9 equals 49. Subtract 20 from both sides and you get 29.

5(8) + 9 = y + 20

49 = y + 20

29 = y

I hope this helps!

#teamtrees #WAP (Water And Plant)

5 0

3 years ago

Read 2 more answers

What is the measure of EFG in circle Obelow?

Mashutka [201]

The two opposite arcs add to the entire circle, 360 degrees, so we must have EFG=360-60=300 degrees.

Answer: C

8 0

3 years ago

Please help thanks in advance also best answer get's brainlest

Neko [114]

Answer:

angle t is 55 degrees

Step-by-step explanation:

Here's my work:

Isoscelese means two of the same length sides. A triangle is 180 degrees. 180-70=110

110/2=55 (two because those are the two angles associated with the equal sides)

5 0

3 years ago