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alisha [4.7K]
2 years ago
7

Sherry is a waitress at a country club restaurant. She receives an automatic 15% tip which is added to the member's check for th

e meal.
If she earns $3.25 an hour, works 25 hours this week, and has served meals costing $415, what is Sherry's gross pay?


$108.90

$122.75

$127.25

$143.50
Mathematics
1 answer:
cricket20 [7]2 years ago
7 0

Answer:

hii there

the correct answer is option ( D ) $143.50

hope it helps

have a nice day

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Roulette is a very popular game in many American casinos. In roulette, a ball spins on a circular wheel that is divided into 38
ludmilkaskok [199]

Answer:

a. P(AUB) = 0.74

b. P(A∩C) = 0.24

c. P(BUC) = 0.71

d. P(Bc) = 0.55

e. P(A∩B∩C) = 0.11

Step-by-step explanation:

n(U) = Total number of elements in the set = number of elements in the universal set = 38

A: (Outcome is an odd number (00 and 0 are considered neither odd nor even)]

An odd number referred to any integer, that is not a fraction, which is not possible to be divided exactly by 2. Therefore, we have:

A: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35

B: 2, 4, 6, 8, 10, 11, 13, 15, 17, 20, 22, 24, 26, 28, 29, 31, 33, 35

C: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18

a. Calculate the probability of AUB

AUB picks not more than one each of the elements in both A and B without repetition. Therefore, we have:

AUB = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 31, 33, 35

n(AUB) = number of elements in AUB = 28

P(AUB) = probability of AUB = n(AUB) / n(U) = 28 / 38 = 0.736842105263158 = 0.74

b. Calculate the probability of A ∩ C  

A∩C picks only the elements that are common to both A and C. Therefore, we have:

A∩C: 1, 3, 5, 7, 9, 11, 13, 15, 17

n(A∩C) = number of elements in A∩C = 9

P(A∩C) = probability of A∩C = n(A∩C) / n(U) = 9 / 38 = 0.236842105263158 = 0.24

c. Calculate the probability of BUC

BUC picks not more than one each of the elements in both B and C without repetition. Therefore, we have:

BUC: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 22, 24, 26, 28, 29, 31, 33, 35

n(BUC) = number of elements in BUC = 27

P(BUC) = probability of A∩C = n(BUC) / n(U) = 27 / 38 = 0.710526315789474 = 0.71

d. Calculate the probability of Bc

Bc indicates B component it represents all the elements in the universal set excluding the elements in B. Therefore, we have:

Bc: 00, 0, 1, 3, 5, 7, 9, 12, 14, 16, 18, 19, 21, 23, 25, 27, 30, 32, 34, 36

n(Bc) = number of elements in Bc = 20

P(Bc) = probability of Bc = n(Bc) / n(U) = 20 / 38 = 0.526315789473684 = 0.55

e. Calculate the probability of A∩B∩C

A∩B∩C picks only the elements that are common to A, B and C. Therefore, we have:

A∩B∩C: 11, 13, 15, 17

n(Bc) = number of elements in A∩B∩C = 4

P(A∩B∩C) = probability of A∩B∩C = n(A∩B∩C) / n(U) = 4 / 38 = 0.105263157894737 = 0.11

Note: All the answers are rounded to 2 decimal places.

7 0
3 years ago
Help. Not good at word problems
earnstyle [38]

Answer:

Option A

Step-by-step explanation:

B U C =  tax returns showing business income + tax filled in 2005

U represents Union relationship that means either B or C

5 0
3 years ago
Jennifer's grandmother buys carrots at the farm stand. She and her 3 grandchildren equally share the carrots. The total weigh of
viva [34]
Jennifer will get 7 kilograms of carrots.

To solve this, simply divide 28 by 4, which is the total number of people sharing the carrots altogether. You wouldn’t divide the number of carrots, 3, by 4, because that is additional info that is out there to throw you off track. Instead, to find the weight of the carrots that Jennifer would get, you would divide the total weight of the carrots by the people sharing them to get 7 kg.
4 0
2 years ago
Read 2 more answers
Find the area of the composite figure.
-Dominant- [34]

Answer:

I guess the correct answer is 116 cm

Step-by-step explanation:

8 0
3 years ago
Need help with this one
Vedmedyk [2.9K]
The answer is 20% since the percentages cancels each other out.
8 0
3 years ago
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