margo has sandwich cut into 1/3 pieces . if she needs to serve 11 people how many whole sandwiches will she need?

Answer:

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

In this question, we have that:

The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes, and we have three customers, which means that [tex]m = 3*4 = 12, \mu = \frac{1}{12} = 0.0833[/tex]

(a) What is the probability that more than three customers arrive in 10 minutes

This is P(X > 3). So

[tex]P(X > 3) = e^{-0.0833*3} = 0.7788[/tex]

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

Answer:

It will take 28 minutes to complete a 7-kilometer race

Step-by-step explanation:

If you can job 3 kilometers in 12 minutes, that means you can jog 1 kilometer in 4 minutes. so if you multiply 7 times 4, you would get 28. So your answer is 28 minutes.

Answer:

a. 12:10 pm

b. 40 mph

Step-by-step explanation:

Assuming you meant to type 1 ¹/₄ hours later.

a. First convert that to a improper fraction and then a decimal:

= 5/4

= 1.25 hours

1.25 hours in minutes is:

= 1.25 * 60

= 75 minutes

= 1 hour 15 minutes

The motorist left at 10:55.

= 1055 + 1 hour

= 11:55

Add 15 minutes:

= 12:10 pm

b. Speed = Distance / Time

= 50 / 1.25 hours

= 40 miles per hour

Answer:

j

Step-by-step explanation:

Answer:

n<4

It goes to the left

Step-by-step explanation:

Let's solve your inequality step-by-step.

6n+7<31

Step 1: Subtract 7 from both sides.

6n+7−7<31−7

6n<24

Step 2: Divide both sides by 6.

6n/6<24/6

n<4

Answer:

the answer is 39

Step-by-step explanation:

you take 300 - 271 and you get 39

Answer:

29? or I'm just gullible.

Step-by-step explanation:

It seems like 29 so hopefully it is

Answer:

y = 8

Step-by-step explanation:

3y = 24

3y ÷ 3 = 24 ÷ 3

y = 8

Answer:

0.82

step-by-step explanation:

Answer and explanation:

One route goes up and down the hill while the other goes around the edge of the hill, in other words one route goes through a hill to get to the destination while the alternative route has a tunnel that makes it possible to avoid the hill.

Relationship between distance and time is given by the formula:

Distance = Speed × time

For example to find the distance travelled with a speed of 10km/hr and 4 hours travelled, we simply multiply speed 10km/hr by time travelled 4 hrs = 40km

Answer I think its 6 and -3

Step-by-step explanation:

Answer:

The answer would be 0,0754716981

Answer:

12 inches

Step-by-step explanation:

1. The diagonal is the hypotenuse of the right triangle.  so since we know one side length, we can figure out the other side length

Answer:

7 x (y+1/3)

because you take the sum in a parentheses to follow PEDMAS and then multiply the sum by 7

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The algebraic expression of 7 times the sum of y and 1/3 is

7/3 (3y + 1).

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

7 times the sum of y and 1/3

This can be written as,

= 7 (y + 1/3)

=7 (3y + 1) / 3

= 7/3 (3y + 1)

Thus,

The algebraic expression of 7 times the sum of y and 1/3 is

7/3 (3y + 1).

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

855 sorry i miscalculated :c okay stay safe :D

Step-by-step explanation:

enjoy

Answer:

C. 82.84

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

It does not say what the tax is so the answer would be 12. You just divide 2 by 24.

Answer:

12

Step-by-step explanation:

24 divided by 2 is 12 or 2 times 12 is 24

mark me brainliest

Answer:

X=55

Step-by-step explanation:

(2x+10)+(x+5)=180

Combine like terms.

3x+15=180

Subtract 15.

3x=165

Divide by 3.

x=55

Answer:

see attached

Step-by-step explanation:

angles on a straight line

the question isn't true so that means it's false

Answer:

D)

Step-by-step explanation:

Answer: all i can read is number 2 and the answer is 5ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

To solve question 1, you use the Pythagorean Theorem to solve. Option B uses this correctly.

Question 2 also uses the Pythagorean Theorem to solve. The answer is a decimal, but rounded to the nearest whole number, the answer is 5.

Question 3 uses the Pythagorean Theorem to see which triangles have the correct measurements of a right triangle. The triangle D is the only incorrect one.

Number 4 uses the Pythagorean Theorem to find the distance it would take to walk in a straight line. The answer to this is 51. Then subtract (24 + 45) - 51 to get 18 yards.

Hope it helps!

Answer:

15 meters per second

Step-by-step explanation:

60/4 = 15

Answer:

15 meters per second

Answer:

1352 cm

Step-by-step explanation:

Length (l) = 13 cm

Width (w) = 52 cm

Perimeter of the rectangle = 2(l + w) units

P = 2(13 + 8)

P = 2 (21)

P = 42

Thus, the perimeter of the rectangle is 42 cm.

Example 2: If a rectangle's length is 2x + 1 and its width is 2x – 1. If its area is 15 cm2, what are the rectangle's dimensions and what is its perimeter?

Solution:

We know that the dimensions of the rectangle in terms of x:

l = 2x + 1

w = 2x – 1

Since the area of a rectangle is given by:

A = l * w

We can substitute the expressions for length and width into the equation for area in order to determine the value of x.

A = l * w

15 = (2x + 1) (2x -1)

15 = 4x2 – 1

16 = 4x2

x = ±2

Note that the value of x must be positive and therefore in our case, the value of x is 2. And now we have:

l = 11 cm

w = 52 cm

Therefore, the dimensions are 5cm and 3cm.

Now, substituting these values in the formula for perimeter, we will get

P = 2l + 2w

P = 2(5)+2(3)

P = 10+6

P = 16 cm

9514 1404 393

Answer:

  60°

Step-by-step explanation:

  60 × 1° = 60°

The angle measure is 60°.

Answer:

(BD)^2 + (DC)^2 = (BC)^2

(BD)^2 + (15)^2 = (25)^2

(BD)^2 +225 =625

(BD)^2= 400

BD= 20cm

Step-by-step explanation:

Given :

A group of men decided to do a job in 8 days.

10 men dropped out every day, the job  got completed at the end of the 12th day.

To Find :

How  many men were at the beginning ?

Solution :

Let, total number of men initially are n.

It none of them leave, total work :

W = 8n    ...1)

It is given that 10 men are dropped each day it takes them 12 day to complete the work :

W = ( n ) + ( n - 10 ) + ( n - 20 ) +  ....   + ( n - 110 )

W = 12n - ( 0 + 10 + 20 + ...... + 110 )

W = 12n - 660    ...2)

Since, total work is same in both the cases, so equating both equation, we get :

12n - 660 = 8n

4n = 660

n = 165

Therefore, their are 165 men in the beginning.

Answer:

True

Step-by-step explanation:

1.45 the 5 is equal/above it so it is true

Answer:

3≤x≤6

Step-by-step explanation:

2≤3x-7≤11

2+7≤3x-7+7≤11+7

9≤3x≤18

9÷3≤3x÷3≤18÷3

3≤x≤6

Answer: 36.56

Step-by-step explanation: