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uranmaximum [27]
3 years ago
7

Use operations of decimal, fraction, and percent numbers to model the following scenarios. In your final answer, include an equa

tion or proportion modeling the scenario. Also, include the calculations.
1. A family dines in a popular franchise restaurant. At the end of the meal, they decide to leave their server a monetary tip that is equal to 20% of the total bill amount, $60.50. How much will the family leave their server as a tip?

2. A family dines in a popular franchise restaurant. They plan to use a coupon that will give them a discount of 15% off of their total dinner bill, not including applicable sales tax or their server’s tip. If the family’s dinner bill totaled $34.00 before tax and tip, how much money will they save by using the coupon?

3. A family dines in a popular franchise restaurant. They plan to use a coupon that will give them a discount of 10% off of their total dinner bill, not including applicable sales tax or their server’s tip. The bill totals $157.30 before tax and tip. What is the new total after the server applies the 10% off coupon?

4. A family of eight dines in a popular franchise restaurant. The restaurant has a policy of automatically including a standard tip to the final bill for parties larger than six people. The bill for the meal included a total of $58.25 in food and beverage sales, plus a standard tip of $10.49. What percent of the food and beverage sales does the restaurant consider to be a standard tip for parties larger than six?

5. A family dines in a popular franchise restaurant that has a policy of automatically including a 20% tip on all food and beverage sales before coupon discounts are applied. What is the family’s total bill amount if their food and beverages totaled $94.20 and they used a 15% off coupon? (HINT: Create more than one model.)
Mathematics
1 answer:
Evgen [1.6K]3 years ago
3 0

Answer:

Step-by-step explanation:

https://ideolance.com/blog/index.php?/archives/5-High-school-maths.html

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For a binomial distribution with p = 0.20 and n = 100, what is the probability of obtaining a score less than or equal to x = 12
notsponge [240]
The binomial distribution is given by, 
P(X=x) =  (^{n}C_{x})p^{x} q^{n-x}
q = probability of failure = 1-0.2 = 0.8
n = 100
They have asked to find the probability <span>of obtaining a score less than or equal to 12.
</span>∴ P(X≤12) = (^{100}C_{x})(0.2)^{x} (0.8)^{100-x}
                    where, x = 0,1,2,3,4,5,6,7,8,9,10,11,12                  
∴ P(X≤12) = (^{100}C_{0})(0.2)^{0} (0.8)^{100-0} + (^{100}C_{1})(0.2)^{1} (0.8)^{100-1} + (^{100}C_{2})(0.2)^{2} (0.8)^{100-2} + (^{100}C_{3})(0.2)^{3} (0.8)^{100-3} + (^{100}C_{4})(0.2)^{4} (0.8)^{100-4} + (^{100}C_{5})(0.2)^{5} (0.8)^{100-5} + (^{100}C_{6})(0.2)^{6} (0.8)^{100-6} + (^{100}C_{7})(0.2)^{7} (0.8)^{100-7} + (^{100}C_{8})(0.2)^{8} (0.8)^{100-8} + (^{100}C_{9})(0.2)^{9} (0.8)^{100-9} + (^{100}C_{10})(0.2)^{10} (0.8)^{100-10} + (^{100}C_{11})(0.2)^{11} (0.8)^{100-11} + (^{100}C_{12})(0.2)^{12} (0.8)^{100-12}


Evaluating each term and adding them you will get,
P(X≤12) = 0.02532833572
This is the required probability. 
7 0
3 years ago
sarah had 28 stickers and put x number of stickers on her binded. haylee had 40 stickers and put three times as many stickers on
Mariana [72]

Answer:

Number of stickers Sarah had = 28

Number of stickers she put on her binder = x.

Number of stickers left with her = 28 - x

Number of stickers Haylee had = 40

Number of stickers she put on her locker = 3x

Number of stickers left with her = 40 - 3x

Both Sarah and Haylee had the same number of stickers left.

28 - x = 40 - 3x

=> 3x - x = 40 - 28

=> 2x = 12

=> x =  = 6

Step-by-step explanation:

7 0
3 years ago
What is the area of a circle with a radius of 1 foot?<br> 4<br> ft?<br> ott<br> * A²<br> 2x ft
wlad13 [49]

Answer:

3.14

Step-by-step explanation:

radius*pi  

8 0
3 years ago
Read 2 more answers
2. Water is leaking from a faucet at a constant rate of 1/3 gallon per minute.
Cloud [144]

Answer:

W = \frac{1}{3}t

20 gallons of water is leaked after an hour.

Step-by-step explanation:

Water is leaking at a constant rate of 1/3 gallon per minute.

a) We have to write a linear equation in two variables that show the amount of water, w, in gallons, that is leaked from the faucet after t minutes.

So, the equation is W = \frac{1}{3}t ......... (1) (Answer)

b) Now, if t = 1 hour i.e. 60 minutes, then from equation (1) we can write

W = \frac{1}{3}\times 60 = 20 gallons.

Therefore, 20 gallons of water is leaked after an hour. (Answer)

5 0
3 years ago
What is the answer to this equation 11c=77
AVprozaik [17]

Answer:

it is 7.

Step-by-step explanation:

77 divided by 11=7

3 0
3 years ago
Read 2 more answers
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