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goldenfox [79]
3 years ago
14

Dylan and 6 of his friends ate lunch together. The restaurant charges 18% for gratuity for groups of 6 or more people, and tax i

s 6%. Their total bill, without tax and gratuity was $98. Part 1 Which expression will find the additional charge, in dollars, Dylan and his friends will need to pay? A. 98 + (0.18 + 0.6) B. 98(0.6 + 0.18) C. 98(0.06 + 0.18) D. 98(0.18) + 0.06
Mathematics
1 answer:
KatRina [158]3 years ago
4 0

Answer: C: $98*(0.06 + 0.18)

Step-by-step explanation:

Always when we have a percentage X% of charge of an amount of money, suppose $100.

The actual cost will be:

(x)*$100 = C.

Where x is the decimal representation of X%:

x = (X%/100%)

In this case, we have two additional charges:

One of 18% and another of 6%.

First we can write them in decimal form:

18%/100% = 0.18

6%/100% = 0.06.

If the price without tax is $98, then the price with the charges will be:

P = (0.18 + 0.06)*$98

The correct option is C.

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Answer:

48.668 ≤ μ ≤ 63.332

Step-by-step explanation:

Given the data:

Sample (X) : 71, 45, 54, 75, 50, 49, 63, 55, 48, 50

Number of samples (n) = 10

α = 95% = 0.05

Determine the range within which the true mean of the fluid samples from the day shift will be with a 95% confidence

True mean = μ

Confidence interval :

m ± t(α/2 ; df) * s/√n

m - t(α/2 ; df) * s/√n ≤ μ ≤ m + t(α/2 ; df) * s/√n

m = sample mean ; s = sample standard deviation ; df = degree of freedom =(n - 1) = (10 - 1) = 9

Calculating the sample mean and standard deviation using calculator to save computation time :

71, 45, 54, 75, 50, 49, 63, 55, 48, 50

m = 56 ; s = 10.25

m - t(0.05/2 ; 9) * s/√n ≤ μ ≤ m + t(0.05/2 ; df) * s/√n

From t table : t(0.05/2 ; 9) = t(0.025, 9) = 2.262

56-2.262 * (10.25/√10) ≤ μ ≤ 56+2.262 * (10.25/√10)

48.668 ≤ μ ≤ 63.332

6 0
3 years ago
Which graph represents a function
ICE Princess25 [194]

Answer:

the bottom left one (the graph that looks like a circle) is not a function, but the other ones are.

Step-by-step explanation:

A function is defined so that for every x value within a function has a y value.  This means that an x value CANNOT have more than one y value.  The bottom right one has two y values for almost every x value within the domain.  The top ones are functions, because all x values have only 1 y value (a discontinuous function is still a function!)  And the bottom right is too.

3 0
3 years ago
F(x)=-11x-2 and g(x) =7x-4 find (f°g)(x)​
tatyana61 [14]

Answer:

- 77x + 42

Step-by-step explanation:

note that (f ○ g)(x) = f(g(x)

Substitute x = g(x) into f(x)

f(g(x))

= f(7x - 4)

= - 11(7x - 4) - 2

= - 77x + 44 - 2

= - 77x + 42

7 0
3 years ago
HELP PLEASE 50 POINTS
Dmitrij [34]

Answer:

Function B has a greater rate of change

Step-by-step explanation:

to find the rate of change or slope

Function A

(0,2) (3,5)

m =(y2-y1)/(x2-x1)

   = (5-2)/(3-0)

   = 3/3

m=1


Function B

m =(y2-y1)/(x2-x1)

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 = 3/2

 = 1.5


Function B has a greater rate of change


4 0
3 years ago
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The effect of global climate change on the US economy was investigated by researchers at Carnegie Mellon University. To gauge th
AURORKA [14]

Answer:

Please see the attached file for the complete answer.

Step-by-step explanation:

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4 0
3 years ago
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