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faltersainse [42]
3 years ago
12

Sammy served food to a group at a restaurant. The total cost of the food was $62.00. The sales tax is 6% of the cost of food. Th

e group asked Sammy to add 20% of the original cost of food for a tip. What was the total cost for the group?
Mathematics
2 answers:
Phoenix [80]3 years ago
5 0
$62 total food amount
6% tax
20% of original cost of food for tip

62x0.06= 3.72
62x0.2= 12.4

62+12.4+3.72= $78.12

the total cost of the group is $78.12
lara [203]3 years ago
5 0
If you total the 6% tax (62x0.06) and find the 20% tip (62x0.2), the answer should turn out as $78.12 when you combine them all ʕ•ᴥ•ʔ
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When playing the roulette at a casino, you have exactly 1/35 chance of winning in each round if you play a single number. Your f
Vikentia [17]

Answer:

0.2275 = 22.75% probability that you actually won that round

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Fireworks going off

Event B: You won

Probability of fireworks going off.

100% of 1/35 = 0.0286(when you win)

10% of 34/35 = 0.9714(you lost). So

P(A) = 0.0286 + 0.1*0.9714 = 0.12574

Probability of you winning and fireworks going off:

100% of 1/35, so P(A \cap B) = 0.0286

If you failed to see the outcome of a round, but you see the fireworks going off, then what is the probability that you actually won that round?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0286}{0.12574} = 0.2275

0.2275 = 22.75% probability that you actually won that round

8 0
3 years ago
Please help me get the answer and understand it.
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Answer:

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Answer:70

Step-by-step explanation:

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3 years ago
Find two numbers if their ratio is 4:7 and their difference is 123.
belka [17]

Answer:

The two numbers are -164 and -287

They could also be 164 and 287

Step-by-step explanation:

The ratio of 2 numbers 4/7  

x/y = 4/7

Using cross products

7x =4y

Their difference is 123

x-y = 123

x = 123+y

Substituting in

7(123+y) =4y

Distribute

861 +7y = 4y

Subtract 7y from each side

861 +7y-7y = 4y-7y

861 = -3y

Divide each side by -3

861/-3 = -3y/-3

-287 = y

Now we need to find x

x = 123+y

x = 123+ -287

x = -164


The numbers could also be 164 and 287

The difference is 287-164 = 123

And the ratio is 164/287 = 4/7

4 0
3 years ago
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Which expression(s) are equivalent to (5 1/8 x 5 3/8)^3
Fiesta28 [93]

Answer:

(2703/64)^3

Step-by-step explanation:

hello :

(5 1/8 x 5 3/8)^3 = (51×53/8×8) ^3 = (2703/64)^3

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