A restaurant has total of 60 tables . Of those tables , 38 are round and 13 are located by the window . There are 6 round tables by the window . If tables are randomly assigned to customers , what is the probability that a customer will be seated at a round table or by the window

Answers

Answer 1

Answer:

The probability that a costumer will be seated at a round table are 44/60 and the probability that he will be seated by the window is 13/60

Answer 2

The probability that a customer will be seated at a round table is  [tex]\frac{19}{30}[/tex]  and  by the window is [tex]\frac{13}{60}[/tex].

What is Probability ?

Probability is a ratio of the number of favorable outcomes to the number of possible outcomes of the experiment.

Probability [tex]=\frac{Number \ of\ outcomes}{Number\ of\ possible\ outcome}[/tex]

We have,

Total number of tables [tex]=60[/tex]

Number of round tables [tex]=38[/tex]

Number of tables located by the window [tex]=13[/tex]

Number of round tables located by the window [tex]=6[/tex]

Now,

Number of possible outcomes customer will be seated at a round table [tex]=38[/tex]

So,

Probability of seated at a round table [tex]=\frac{Number \ of\ outcomes}{Number\ of\ possible\ outcome}[/tex]

                                                                [tex]=\frac{38}{60}=\frac{19}{30}[/tex]

Now,

Number of possible outcomes customer will be seated by the window [tex]=13[/tex]

Probability  of seated by the window[tex]=\frac{Number \ of\ outcomes}{Number\ of\ possible\ outcome}[/tex]

                                                               [tex]=\frac{13}{60}[/tex]

So, probability that a customer will be seated at a round table is  [tex]\frac{19}{30}[/tex]  and  by the window is [tex]\frac{13}{60}[/tex].

Hence, we can say that the probability that a customer will be seated at a round table is  [tex]\frac{19}{30}[/tex]  and  by the window is [tex]\frac{13}{60}[/tex].

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Related Questions

What is 4% of 4% of 40,000? Show the working please.

Answers

Answer:

64

Step-by-step explanation:

4% of 40,000= 1,600

4% of 1600= 64

Answer:

64

Step-by-step explanation:

4% = 4/100=0.04

[tex](\frac{4}{100} )(\frac{4}{100} )(40000)=(0.04)(0.04)(40000)=64[/tex]

Hope this helps

Two cars are driving towards an intersection from perpendicular directions. The first car's velocity is 10 meters per second and the second car's velocity is 6 meters per second. At a certain instant, the first car is 4 meters from the intersection and the second car is 3 meters from the intersection. What is the rate of change of the distance between the cars at that instant (in meters per second)?

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Answer:

use: E = P x t

Step-by-step explanation:

E = energy = J

P = power = W

t = time = s

What is the surface of this shape

Answers

Answer:

Find the area of all of the different shapes (2D)

and then add them up together to find the surface area.

3×2

6×2

6×2

5×3

6×3

1×3

1×4

1×4

4×3

Then you add them up together.

6+12+12+15+18+3+4+4+12=ANS.

Unitary method
A car can cover a distance of 240 km in 4 hours.
i) Find the speed of the car in km per hour.
ii) How many kilometers does it cover with the same speed in 7 hours?
(Explain with process)​

Answers

Answer:

60 kilometers per hour.

420 kilometers will be covered

Step-by-step explanation:

speed = distance ÷ time.

so 60kmh = 240km divided by 4 Hours

60km = 1 Hour of distance

240km = 4 Hours of distance

Therefore 60 x 3 hour is 180km added to 240 is 420km. So in 7 hours traveling 60 kilometers per hour the will cover 420kms.

What is 60 percent of 92?
1.53
5.52
15.3
55.2

Answers

Answer:

[Fourth Option] 55.2

Step-by-step explanation:

60% -> 0.6

0.6 * 92 = 55.2

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

(D) 55.2

Step-by-step explanation:

4.
Which of the following equations describes the graph?

A. y = 1/2x^2 - x + 2

B. y = 1/3x^2 - x - 2

C. y = -1/2x^2 - x - 2

D. y = 1/3x^2 - x + 2

Answers

Answer: The answer is NOT letter B or letter C

D. y = 1/3x^2 - x + 2

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  ( 3 /2 ,  5 /4 )

Focus:  ( 3 /2 ,  2 )

Axis of Symmetry:  x = 3 /2

Directrix:  y = 1 /2

x                 y

0                2

1                 4 /3

3 /2             5 /4

3                 2

4                10 /3

What is the equation of the line in slop-intercept form?



Enter your answer in the blank spots




y= __x + __

Answers

Answer: i think its 4 -4 or 4 and 8

Step-by-step explanation: sorry if imma wrong

Identify the graph that matches the piecewise function

Answers

D, the other graphs don’t match
D the because look at the line

One x-intercept for a parabola is at the point (-0.4,0). Use the quadratic formula to find the other x-intercept for the parabola defined by this equation: y = 5x2 + 7x + 2 Separate the values with a comma. Round, if necessary, to the nearest hundredth.

Answers

Answer:

-1

Step-by-step explanation:

Set y=0.

[tex]5 {x}^{2} + 7x + 2 = 0 \\ x = \frac{ - 7± \sqrt{ {7}^{2} - 4(5)(2)} }{2(5)} \\ x = \frac{ - 7± \sqrt{ 9} }{10} \\ x = \frac{ - 7±3}{10} \\ x = - \frac{2}{5} \: \: \: \: or \: \: \: \: - 1[/tex]

The x-intercepts are - 0.4 and - 1.

The other x-intercept is - 1.

Answer: 1,0

Step-by-step explanation:

what would be the volume of the cone that has the same measurement as the cylinder above in the pic

do the working also ​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Volume of cone will be ~

[tex]\fbox \colorbox{black}{ \colorbox{white}{volume} \:  \:  \:   \:  \: \colorbox{white}{=}  \:  \:  \:   + \colorbox{white}{462 \: cm³ }}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's find the volume of cone with ~

radius (r) = 7 cm

height (h) = 9 cm

And as we know, volume of cone is equal to ~

[tex] \dfrac{1}{3}\pi {r}^{2} h[/tex]

now, let's plug in the values and find the volume ~

[tex] \dfrac{1}{ \cancel{3} }\times \dfrac{22}{\cancel{7}} \times \cancel{7 }\times 7 \times \cancel{9}[/tex]

[tex]1 \times 22 \times 7 \times 3[/tex]

[tex]462 \: \: {cm}^{3} [/tex]

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i need some help here plzzzzzzzzzz
NO LINKS!!!!!!

Answers

Answer:

I'm pretty sure it's A,B, and D.

Step-by-step explanation:

Question 2
Which statement best explains
why the sum of the areas of the
two white squares in Figure 2 is
the same as the area of the white
square in Figure 1?

The combined area of the four triangles is equal to the area of the large white
square.
In each triangle, the length of side a plus the length of side b equals the length
of side c. That means that a? + b2 = c?.
In each figure the total area is equal and the area of the 4 triangles is equal, so
the remaining white area in each figure must also be equal.

Answers

Answer:

the third option

Step-by-step explanation:

that is actually the proof for Pythagoras :

both squares have the total area of (a + b)².

each of the triangles (4 in figure 1, 4 in figure 2) has the same area as the others : a×b/2

so, for figure 1

(a + b)² = 4×a×b/2 + c² = 2×a×b + c²

and for figure 2

(a + b)² = 4×a×b/2 + a² + b² = 2×a×b + a² + b²

2×a×b + c² = 2×a×b + a² + b²

c² = a² + b²

Complete the equation for the line shown in the graph. (-1,-2) (0,1) (1,4)

Answers

An equation for the given ordered pairs you gave me is: y=3x+1

Hope this helped you!! :)

Can someone answer this for me?

Thanks!

Answers

Hiii :))

Answer is in the attachment.

Identity used :-

1) cosec² α = 1 + cot² α

Trigonometric Ratio :-

1) cot 30° = √3

_____

Reddam is an expensive school, right?

RainbowSalt2222 ☔

Answer:

hello :-D

Step-by-step explanation:

What the answer is please

Answers

Answer:its the first one

Step-by-step explanation:

becuase it tells more explanation if you look at the answer or what im saying is problem to make it more simpler.

Convert 95°F to degrees Celsius.
If necessary, round your answer to the nearest tenth of a degree.
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-F
9
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Answers

Answer:

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Solve x
2/x -2 = 3/2x+3​

Answers

Answer:

since we don't have to go back in and you can come over you

If you mean 2/x -2 = 3/2x +3 then its 1/10

If you mean 2/(x-2)= 3/(2x+3) then its -12

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Answers

Answer:

You can't draw a diagram for a improper

fraction

Guys I really need some help with this one!

If anybody could help me out here I would be incredibly grateful! (Simple algebra problem involving functions)

Answers

Answer:

f( 1 ) = 3

Step-by-step explanation:

Given the linear function, f(x) = -4x + 7, we could easily find f( 1 ) by substituting the value of the input, x = 1, into the function.

f(x) = -4x + 7

f( 1 ) = -4( 1 ) + 7

f( 1 ) = -4 + 7

f( 1 ) = 3

Therefore, the output value is f( 1 ) = 3.

The value of the function f(x) = 5x +7 at 3 is

Answers

Answer:

22

Step-by-step explanation:

Substitute x = 3 into f(x) , that is

f(3) = 5(3) + 7 = 15 + 7 = 22


Melanie read 52 pages in 1 hours. If she continues reading at the same rate, how
many pages will she read in an hour?

Answers

If she read 52 pages in one hour, then she'll continue at a rate of 52 pages per hour.

Answer:

52 pages

Step-by-step explanation:

Since she reads 52 pages in 1 hour we multiply 52 by the amount of hours she reads.

52 pages times 1 hour equals 52 pages.

52 x 1 = 52

Maya is helping a gardener plant 300 bulbs. They plant 20% of the bulbs on Monday and 30% of the bulbs on Tuesday. Maya says this means they have planted 50 bulbs so far. Label and shade the model. Then use your model to explain why Maya's statement is not reasonable.

Answers

Answer:

because the total is 300 not 100 so 50 is not reasonable because that is the percentage they planted and since it is more than 100 then it should be a percent of 300 not 100. Maya is wrong about placing 50 bulbs instead they placed 150.

Step-by-step explanation:

Ali has q quarters. Tom has four more quarters than Ali.



Drag and drop the expressions into the boxes to write an expression that represents the number of quarters Ali and Tom have together.

Response area + Response area

Answers

Answer: x(.25)+(4+x(.25))=y

Step-by-step explanation:

1. set up the equation-

Ali has an unknown amount of quarters so make that x.

We know quarters are 25 cents so .25 if he has one quarter you put that one quarter into x, 2 into x and so on

Tom has 4 more, since he has 4 more it is 4+x and one again times .25

2. that is it

A pattern has 6 blue triangles to every 42 yellow triangles. What is the ratio in lowest form of yellow triangles to blue triangles?

Answers

7 to 1 is the answer

Answer:

7:1

Step-by-step explanation:

The original ratio was 6:42. To simplify this, we can find the greatest common factor for 6 and 42 by listing out their factors.

6: 1, 2, 3, 6

42: 1, 2, 3, 6, 7, 14, 21, 42

6 is the greatest common factor they share. We now need to divide each side by this number. This leaves us with 1:7. Since they want us to write the ratio in yellow triangles to blue triangles instead of blue triangles to yellow, we just need to flip the ratio to 7:1.

Driveway pavers are 6 inches by 10 inches. If your driveway is 21840 square inches, how many pavers do you need for your driveway?

Answers

Answer:

364 pavers are needed.

Step-by-step explanation:

6 x 10= 60

21840/60= 364

The graph shows the distribution of the amount of time (in minutes) people spend watching TV shows on a popular streaming service. The distribution is approximately Normal, with a mean of 71 minutes and a standard deviation of 15 minutes.
A graph titled Streaming T V has time (minutes) on the x-axis, going from 11 to 131 in increments of 15. The highest point of the curve is at 71.
What percentage of people spend between 41 and 56 minutes watching TV shows on this streaming service?
a- 13.5%
b- 34%
c- 47.5%
d- 95%
answer:a 13.5

Answers

Using the normal distribution, it is found that the percentage of people spend between 41 and 56 minutes watching TV shows on this streaming service is:

a) 13.5%

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

The mean is of 71, hence [tex]\mu = 71[/tex]The standard deviation is of 15, hence [tex]\sigma = 15[/tex]

The proportion between 41 and 56 minutes is the p-value of Z when X = 56 subtracted by the p-value of Z when X = 41, hence:

X = 56:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{56 - 71}{15}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a p-value of 0.16

X = 41:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{41 - 71}{15}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.025

0.16 - 0.025 = 0.135

0.135 x 100% = 13.5%

Hence option a is correct.

A similar problem is given at https://brainly.com/question/25769446

what is the largest number you can make with these digits ? 2 5 9 6 answer _____________​

Answers

Hello, hope you are having a splendiferous day.

Here are the numbers you can make with these 4 digits:

2596

6952

2965

5629

And so on.

However, the largest number we can make using these digits is

9652

Hope it helps. Glad to help.

Ask me if you have any queries.

Carry On Learning

~An emotional teen who helps others with joy

Good luck.

Adrienne biked 24 miles in 5 1/2 hours. If she biked at a constant speed, how many miles did she ride in one hour?

1. How can you solve this?

Answers

Answer:

4.36

Step-by-step explanation:

dividing the amount of hours by how many miles Adrienne went will give you how many miles she went per hour.

Equation:

a÷b

a=24

b=5.5 (5 1/2)

24÷5.5=4.36

If Jaime wants to find 60% of 320, which table should he use?
A 2-column table with 11 rows. Column 1 has entries 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, Total 100 percent. Column 2 has entries blank, blank, blank, blank, blank, blank, blank, blank, blank, blank, Total blank.
A 2-column table with 5 rows. Column 1 has entries 25 percent, 25 percent, 25 percent, 25 percent, Total 100 percent. Column 2 has entries blank, blank, blank, blank, Total blank.
A 2-column table with 4 rows. Column 1 has entries 30 percent, 30 percent, 30 percent, Total 100 percent. Column 2 has entries blank, blank, blank, Total blank.
A 2-column table with 3 rows. Column 1 has entries 50 percent, 50 percent, Total 100 percent. Column 2 has entries blank, blank, Total blank.

Answers

Answer: The answer is A. Six 10% and total 100% (I hope ya'll understand what I'm saying)

Answer:

it is A

Step-by-step explanation:

just finished

There are 350 students graduating on Sunday. 84% of the students are graduating with Bachelor’s degree in Business. How many students are getting their Bachelor's degree in Business?

Answers

Answer:

294 students

Step-by-step explanation:

To find percentage, convert the percent to a decimal and multiple the total number of students

80% --> 0.8

350*0.8 = 294 students

9514 1404 393

Answer:

  294

Step-by-step explanation:

84% of 350 is ...

  0.84 × 350 = 294

294 students are getting their Bachelor's degree in Business.

__

Additional comment

If your calculator does not have a % key, you can perform the multiplication by converting the percentage to a decimal or using it as a fraction. The % symbol is interchangeable with /100, so 84% = 84/100. Of course, this is eighty-four hundredths, which can also be written 0.84.

Any spreadsheet will accept direct input of numbers with an attached % symbol, so you can use one of those for this calculation, also.

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