A restaurant with 25 tables has 4 tables by the window. Parties are seated randomly at the tables as they come in.

What is the probability that the first 3 parties of the night are all seated at window seats?

Answers

Answer 1

The probability that the first 3 parties are selected from the window seats is 0.0041

What is Probability?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.

Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. The probability of all the events in a sample space adds up to 1.

The probability that a party will be chosen from the window seat is 4/25

Therefore the probability of 3 chosen from the window seat is 4/25×4/25×4/25

= 64/15625= 0.0041

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Related Questions

Helppppppppppppppppppppppppppppppppppppp

Answers

Answer:

diiiiifiiiciiillllllñ

Answer:

Step-by-step explanation:

a - yes

b - yes

c - yes

d - yes

e - yes

A mountaineer climbed 1,000 feet

Answers

Answer:

please complete your question

Answer:

its a (i had to find ur question online hopefully i found the right one)

Please help and show work please and please no sending links

Answers

By the exterior alternate angle theorem,
80=20+5x
60=5x
x=12=c

Sara makes a triangle using three sticks of lengths 20 cm, 21 cm, and 28 cm. Is the triangle a right triangle ? Please explain

Answers

Answer:

No, 20^2 + 21^2 ≠ 28^2

Step-by-step explanation:

PLEASE HELP ME GUYS :((((((( c r y


triangle area ?​

Answers

Answer:

1

Step-by-step explanation:

the answer is in the image above

A survey found that people keep their televisions an average of 5.1 years. The standard deviation is 0.85 year. If a person decides to buy a new TV, find the probability that he or she owned the old one for the given amount of time. Assume the random variable is normally distributed.

Answers

Answer:

[tex]P(x<4.4)=0.50[/tex]

Step-by-step explanation:

From the question we are told that:

Mean [tex]\=x =5.1 year[/tex]

Standard deviation [tex]\sigma=0.85[/tex]

Generally the equation for Z value is mathematically given by

 [tex]Z = (4.4 - 4.4) / 0.73[/tex]

 [tex]Z= 0[/tex]

Therefore

From table

 [tex]P(x<4.4)=0.50[/tex]

Element X is a radioactive isotope such that its mass decreases by 73% every
hour. If an experiment starts out with 680 grams of Element X, write a
function to represent the mass of the sample after t hours, where the rate of
change per minute can be found from a constant in the function. Round all
coefficients in the function to four decimal places. Also, determine the
percentage rate of change per minute, to the nearest hundredth of a percent.
Mi

Answers

Answer:

Step-by-step explanation:

The element decay percentage rate of change 2.22% per minute.

What is radioactive isotope?

Radioisotope, radionuclide, or radioactive nuclide, any of several species of the same chemical element with different masses whose nuclei are unstable and dissipate excess energy by spontaneously emitting radiation in the form of alpha, beta, and gamma rays.

Here, mass decreases by 73% every hour.

Weight of element X is 680 grams.

According to question,

f(t) = 680 (1 - 73%)ⁿ

f(t) = 680 (1 - 0.73)ⁿ

f(t) = 680 X 0.27ⁿ

f(t) = 680 X 0.9778ⁿ

f(t) = 680 X (1 - 0.02322)ⁿ

Thus, the element decay percentage rate of change 2.22% per minute.

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two mangoes cost $60.00. what is the cost of 5 mangoes​

Answers

Answer:

Im not 100% sure but i think it would be $150.00

Step-by-step explanation:

Because if 2 mangos are $60

whats half of 60$

30

so 1 mango = $30

the person wants 5 mango so

multiply

$30*5

which would give you

$150.00

Answer:

$150

Step-by-step explanation:

If 2 mangoes cost $60, then 1 mango would be 60/2=30.

5 mangos would be 30×5=$150

GIVING OUT BRAINLIEST HELP ME OUT PLSSS

Answers

Answer:

90 degrees but mom not too sure

Answer: cos(30)=sin(60)

Find the slope of the line that passes through the points (-5,-6) and (5,10)

Answers

y=1.6x+2
that’s just what i got

Can anyone help me with this one plz

Answers

Answer:

its c my dude

Step-by-step explanation:

....................

answer is c because that is right plz brainliest and like plz

An English teacher needs to pick 4 books to put on his reading list for the next school year. He has narrowed down his choices to 8 novels and 6 plays.

a. How many different ways can he choose the books to put on the list if he wants to include at least two plays?
b. Find the standard deviation.

Answers

Answer:

A) 3 ways

B) sorry don't know.

Step-by-step explanation:

2 P and 2 N

3P and 1 N

4P

So 3 ways.

Zoya has to earn at least $300 to meet her fundraising goal. She has only 100 bracelets that she plans to sell at $5 each. Which inequality shows the number of bracelets, x, Zoya can sell to meet her goal?

Answers

Answer:

The two inequality are : x ≤  100 and x ≥ 60

So the inequality is : 60 ≤ x≤ 100.

Step-by-step explanation:

Answer:

Hi so the answer to this equation is:

60 _< x _< 100

Step-by-step explanation:

Sorry if it looks a little complicated, another way of phrasing it would be 60 less than or equel to x less than or equel to 100. I think this is the answer because she only has 100 braclets so she cant sell more than that, hence less than or equel to 100. and i believe it is 60 because if she sells each braclet for 5 dollars and her goal is 300, 60 would allow her to reach her goal because 5 x 60 = 300. and she needs to earn at least 300 buckaroos for her fundraiser.

Im not super great with algebra but i hope this is right and that it helps you

peace✌

Given m||n, find the value of x

Answers

Answer:

The answer is 104 degrees.

Step-by-step explanation:

M is equivalent to N, which means x is also 104 degrees.

How many factors does the following number have?

Answers

Step-by-step explanation:

myballsnahajahahahahahahahhahajaajjaajjaaaaaja

Answer: 135

exponents are :2,4,8

add on to each: 3,5,9

3*5*9 = 135

Step-by-step explanation:

One more than two-thirds of a number is the same as the number decreased by three.??​

Answers

Not necessarily.

Two thirds of 15 is 10.
10 + 1 = 11
15 - 11 = 4

So definitely not in most cases.
Don’t know if this helps but I hope it does.

The number such that one more than two-thirds of a number is the same as the number decreased by three will be 12.

What is a fraction?

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, the fraction is the division of the two numbers but the division is not wholly complete.

In another word, if we divide two numbers by each other then the upper word is called the numerator, and a lower word is called the denominator.

Let's say that number is x

Then,

2/3 of x = (2/3)x

Son,

1 more then  (2/3)x =  (2/3)x + 1

It is the same as x - 3

So,

(2/3)x + 1 = x - 3

x = 12

Hence "The number such that one more than two-thirds of a number is the same as the number decreased by three will be 12".

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The sides of which diagram are correctly labeled with respect to angle A?
A right triangle is shown. Angle A is opposite to the side labeled adjacent.
A right triangle is shown. Angle A is opposite to the side labeled opposite. The hypotenuse is opposite to the right angle.
A right triangle is shown. Angle A is opposite to the side labeled opposite. The side labeled adjacent is opposite to the right angle.
A right triangle is shown. Angle A is opposite to the side labeled hypotenuse. The side labeled adjacent is opposite to the right angle.

Answers

9514 1404 393

Answer:

  (b) Angle A is opposite to the side labeled opposite. The hypotenuse is opposite to the right angle.

Step-by-step explanation:

The hypotenuse is always opposite the right angle.

The side considered "opposite" is opposite the angle of interest, angle A in this case.

Answer:

Other person is correct

Step-by-step explanation:

Find the area of the figure shown below. Use 3.14 for π. Use the formula π x r^2 to find the area of a full circle.

A)32.84 in
B)38.13 in
C) None of these answers
D)62.13 in
E)161.04 in

Answers

Answer:

c

Step-by-step explanation:

none of the answers are correct. The area of the figure is 51.53 in^2 and none of the answers are 51.53 in^2, therefore it is c.

Answer:

D. 62.13 in²

Step-by-step explanation:

the area = (8×6)+(½×3.14×3²)

= 48+14.13

= 62.13

What is the equation of the line through (4, 2) and (0, -2)?

Answers

Answer:

y=x-2

Step-by-step explanation:

4-0=4 = (change in y)

2--2=4 = (change in x)

change in y/change in x=4/4=1=x

gradient = x

y=x+c

Subtitute any coordinate

2=4+c

c=-2

so

y=x-2

Answer:

y=x-2

Step-by-step explanation:

Slope Intercept Form

y=x-2

Find Slope using equation below

Chose points I chose 2 as y2 and -2 as y2

4 is x2 and 0 as x1

Slope is 1

now choose a point and plug it in for x and y and plug slope in Equation

I chose (4,2)

2=4+b

subtract 4 by both sides

-2=b

Slope Form

So... y=x-2 is the answer

A square dancing contest has 245 teams of 4 pairs each. How many dancers are participating in the contest?

Answers

Answer:

1960 dancers

Step-by-step explanation:

your are on "ace" level and need help here ?

a pair is 2 people

4 pairs is therefore 4×2 people = 8

245 teams of 4 pairs or 8 people each means

245×8 = 1960 people

Rewrite each mixed number as a sum of two signed numbers,
3 1/5
-7 3/8

Answers

Answer:

31/5 as a mixed number: 6 and 1/5

-73/8 as a mixed number:-9 and 1/8

Step-by-step explanation:

Rewriting each mixed number as a sum of two signed numbers 3 1/5  and -7 3/8 are 3 and 1/5  and -8 and 5/8 respectively

The mixed number to rewrite as a sum of two signed numbers are as follows:

3  1 / 5-7  3 / 8

Rewriting as a sum of the two signed numbers can be represented as follows;

3 1/5 = 16 / 5

-7 3/ 8 = - 59 / 8

Therefore,

3 1/5  will be 3 and 1/5

-7 3/ 8 will be -8 and 5/8

Note

3 + 1/5 = 3 1/5

-8 + 5/8 = -7 3/8

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4-member curling team is randomly chosen from 6 grade 11 students and 8 grade 12 students. What is the probability that the team has at least 2 grade 11 students?

Answers

Answer:

0.5944 = 59.44% probability that the team has at least 2 grade 11 students

Step-by-step explanation:

The students are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

We have that:

6 + 8 = 14 students, which means that [tex]N = 14[/tex]

6 grade 11 students means that [tex]k = 6[/tex]

Teams of 4 members means that [tex]n = 4[/tex]

What is the probability that the team has at least 2 grade 11 students?

This is:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,14,4,6) = \frac{C_{6,0}*C_{8,4}}{C_{14,4}} = 0.0699[/tex]

[tex]P(X = 1) = h(1,14,4,6) = \frac{C_{6,1}*C_{8,3}}{C_{14,4}} = 0.3357[/tex]

Then

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0699 + 0.3357 = 0.4056[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.4056 = 0.5944[/tex]

0.5944 = 59.44% probability that the team has at least 2 grade 11 students

The perimeter of the rectangle is 80 cm. The area of the rectangle is acm2 . (i) show that x 2 40x + a = 0.​

Answers

Answer:

Proved

Step-by-step explanation:

Given

[tex]p = 80[/tex] ---- perimeter

[tex]a \to area[/tex]

Required

[tex]x^2 + 40x + a = 0[/tex]

The perimeter is calculated as:

[tex]p = 2(x + y)[/tex]

Where

[tex]x,y \to[/tex] the rectangle dimension

So, we have:

[tex]2(x + y) = 80[/tex]

Divide by 2

[tex]x + y = 40[/tex]

Make y the subject

[tex]y = 40 - x[/tex]

The area of the rectangle is:

[tex]a = xy[/tex]

[tex]a = x * (40 -x)[/tex]

[tex]a = 40x -x^2[/tex]

Equate to 0:

[tex]x^2 - 40x + a = 0[/tex]

Leila buys candy that costs 8 dollars per pound. She will spend more than 40 dollars on candy. What are the possible numbers of pounds she will buy?

Answers

Answer:

She must buy more than 5 lbs

Step-by-step explanation:

First write the inequality

cost per pound * number of pounds >  total cost

8 * lbs > 40

Divide each side by 8

8 lbs /8 > 40/8

lbs > 5

She must buy more than 5 lbs

Please help translate into an algebraic expression.

Five more than the product of 15 and a number.

Answers

Answer:

15a + 5

Step-by-step explanation:

Find the median and mean of the data set below:
48,32,5, 13, 11, 22, 2

Answers

median is 13
mean is 19

Answer:

the median is 13 and the mean is 13

Solve for c
X=
4
X Х
8
9

Answers

Answer:

C is 356

Step-by-step explanation:

What is the divisibility rule for 16?

Answers

Answer:

If the thousands digit is odd, the number formed by the last three digits plus 8 must be divisible by 16.

Add the last two digits to four times the rest. The result must be divisible by 16.

The last four digits must be divisible by 16.

Answer:

If the thousands digit is even, the number formed by the last three digits must be divisible by 16. If the thousands digit is odd, the number formed by the last three digits plus 8 must be divisible by 16.

Example: 3408: 408 + 8 = 416.

Step-by-step explanation:

m) Factorise:
x2/9+1+9/x2​

Answers

Answer:

Cannot be factored

Step-by-step explanation:

Given

[tex]\frac{x^2}{9} + 1 + \frac{9}{x^2}[/tex]

Required

Factorize

Take LCM

[tex]\frac{x^2}{9} + 1 + \frac{9}{x^2} = \frac{x^4+9x^2+81}{9x^2}[/tex]

The expression cannot be factored

SOMEONE HELP ME PLEASE

Answers

Answer:

y = 90

Step-by-step explanation:

You can use proportions to answer this question.

[tex]\frac{30}{-3} =\frac{y}{-9}[/tex]

Cross multiply 30 to -9; -3 to y

[tex]-270=-3y[/tex]

Isolate y by dividing -3 on both sides

[tex]y=90[/tex]

Answer:

90

Step-by-step explanation:

30/-3 = ?/-9

Cross Multiply-

30 × -9 = -270

-3 × ? = -3

-270 ÷ -3 = 90

y = 90

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