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?

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

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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Answer:

90 degrees but mom not too sure

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

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

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:

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:

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

Answer:

the median is 13 and the mean is 13

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

Answer:

1

Step-by-step explanation:

the answer is in the image above

Answer:

please complete your question

Answer:

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

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

Answer:

The answer is 104 degrees.

Step-by-step explanation:

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

Answer:

15a + 5

Step-by-step explanation:

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:

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.

Answer:

its c my dude

Step-by-step explanation:

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

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

Answer:

C is 356

Step-by-step explanation:

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

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]

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:

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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Answer:

diiiiifiiiciiillllllñ

Answer:

Step-by-step explanation:

a - yes

b - yes

c - yes

d - yes

e - yes

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✌

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]

Answer:

No, 20^2 + 21^2 ≠ 28^2

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

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

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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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