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nordsb [41]
2 years ago
11

You and your family go to dinner and you leave an 18% tip for the server. If the meal costs $52.50, how much should you leave fo

r a tip? ​
Mathematics
2 answers:
Juliette [100K]2 years ago
5 0

Answer:

You should leave a $9.45 tip.

Step-by-step explanation:

Here is a simple way to do this. Break it down into easy percentages.

$52.50 is a 100% tip.

$5.25 is a 10% tip.

$.525 is a 1% tip.

Multiply $.525 by 8 to get an 8% tip.

The answer to that will be $4.20.

Now add $4.20 and $5.25 to get an 18% tip.

Your answer is $9.45.

anastassius [24]2 years ago
4 0

Answer:

You should leave $9.45 for the tip!

Step-by-step explanation:

52.5 x 0.18 = 9.45

<em>hope this helped! UwU</em>

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Will mark brainiest!!<br> Only answer questions a and b
k0ka [10]

Answer:

f1 ( x ) valid pdf . f2 ( x ) is invalid pdf

k = 1 / 18 , i ) 0.6133 , ii ) 0.84792

Step-by-step explanation:

Solution:-

A) The two pdfs ( f1 ( x ) and f2 ( x ) ) are given as follows:

                     

- To check the legitimacy of a continuous probability density function the area under the curve over the domain must be equal to 1. In other words the following:

                   

- We will perform integration of each given pdf as follows:

                   

                   

Answer: f1 ( x ) is a valid pdf; however, f2 ( x ) is not a valid pdf.

B)

- A random variable ( X ) denotes the resistance of a randomly chosen resistor, and the pdf is given as follows:

                       if  8 ≤ x ≤ 10

                               0  otherwise.

- To determine the value of ( k ) we will impose the condition of validity of a probability function as follows:

                     

- Evaluate the integral as follows:

                     ... Answer

- To determine the CDF of the given probability distribution we will integrate the pdf from the initial point ( 8 ) to a respective value ( x ) as follows:

                     

To determine the probability p ( 8.6 ≤ x ≤ 9.8 ) we will utilize the cdf as follows:

                   p ( 8.6 ≤ x ≤ 9.8 ) = F ( 9.8 ) - F ( 8.6 )

                   p ( 8.6 ≤ x ≤ 9.8 ) =

ii) To determine the conditional probability we will utilize the basic formula as follows:

               p ( x ≤ 9.8  | x ≥ 8.6 ) = p ( 8.6 ≤ x ≤ 9.8 ) / p ( x ≥ 8.6 )

               p ( x ≤ 9.8  | x ≥ 8.6 ) = 0.61333 / [ 1 - p ( x ≤ 8.6 ) ]

               p ( x ≤ 9.8  | x ≥ 8.6 ) = 0.61333 / [ 1 - 0.27666 ]

               p ( x ≤ 9.8  | x ≥ 8.6 ) = 0.61333 / [ 0.72333 ]

               p ( x ≤ 9.8  | x ≥ 8.6 ) = 0.84792 ... answer

Hope it helps! ;)

4 0
2 years ago
Can anybody help????
pychu [463]

Answer:

x = 110° (vertically opposite angel)

6 0
3 years ago
Find the value of x. O is the center of the circle. Round your answer to the nearest hundredth.
katrin [286]

x=5.38 . Correct option C)5.38

<u>Step-by-step explanation:</u>

Here we have , Find the value of x. O is the center of the circle. Round your answer to the nearest hundredth.  picture is attached  . Let's find out:

In the given figure , Let's draw a line from center to the point where cord of length 8 unit is touching the circle or intersecting or , where this chord finishes . This line is radius of circle and is denoted by x , So now we have a right angle triangle with dimensions as :

Perpendicular =3.6\\Base=\frac{8}{2}=4\\Hypotenuse=x

By Pythagoras Theorem ,

Hypotenuse^2=Perpendicular^2+base^2

⇒ x^2=(3.6)^2+(4)^2

⇒ x=\sqrt{(3.6)^2+(4)^2}

⇒ x=\sqrt{12.96+16}

⇒ x=\sqrt{28.96}

⇒ x=5.38

Therefore , x=5.38 . Correct option C)5.38

6 0
3 years ago
Help need answer please
antiseptic1488 [7]

Answer:

59.5

Step-by-step explanation:

1st tree to shadow ratio: 17:10

Plug the numbers in to get x:35

17:10=x:35

17/10=x/35

Multiply both sides by 35

595/10=x

59.5=x

5 0
2 years ago
-5,-2 5,-4 what's the slope
bekas [8.4K]

Answer:

Slope = -1/5

Step-by-step explanation:

(-5, -2)(5, -4)

Slope: \frac{y^{2}-y^{1}  }{x^{2}- x^{1} } = \frac{-4-(-2)}{5-(-5)} =\frac{-4+2}{5+5} =\frac{-2}{10}=-\frac{1}{5}

7 0
2 years ago
Read 2 more answers
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