Consider a taxi station where taxis and customers arrive in accordance with Poisson processes with respective rates of one and three per minute. A taxi will wait no matter how many other taxis are present. However, an arriving customer that does not find a taxi waiting leaves. Find the proportion of arriving customers that get taxis.

Answer:

1 : 7

Step-by-step explanation:

Answer:

7:1

Step-by-step explanation:

divide 42 by 6 to get how many he can do in one hour

42/6=7

7:1

Answer:

x = 6 and y = -1

Step-by-step explanation:

hope this helps

Answer:

x= 6 and y= -1

Step-by-step explanation:

-2x - 9y = -3

-7x - 9y = -33

I'm going to be solving by elimination. However, you can solve using substitution as well.

So the first step is to eliminate one of the variables. In my opinion, what's easiest is eliminating the y variables. To eliminate you want to variables (that are the same) to equal 0 and cancel out. To do this, all I have to do is subtract. When I subtract I get 0 as shown below. I will also subtract the other variables and numbers in the equations because that's how elimination works.

-2x - 9y = -3

-7x - 9y = -33

5x = 30

-2 - (-7)=5 and -3 - (-33)= 30

There's no solution for the y variable because -9 - (-9)=0, which cancels out so it doesn't have to be written.

after that you get x=6 because you divide by 5 on both sides.

All that's left is to plug in 6 to one of the equations:

-2(6) - 9y= -3

-12 - 9y= -3

+12         +12

-9y= 9

Divide both sides by -9 to get y= -1

Answer: 1,431

Step-by-step explanation:

split the thing into two rectangular prisms

small prism dimensions: 18 x 2 x 3

multiply the dimensions to get 108

large prism dimensions: 7 x 21 x 9

multiply the dimensions to get 1,323

add 1,323 and 108 together to get 1,431

Answer:

6 dollars and 10 cents

Step-by-step explanation:

I'm sorry this isn't the answer, but I just want you to know that you are incredible and that I love you for you! You are special to everyone you meet, and should not change who you are. I know your life may be tough, but you are strong and can get through it!

Answer:

After 6 days 1/64 of the coin will remain, while after 28 days 1/268435456 will remain. Now, it will never completely disappear, since it can always be reduced to a larger number.

Step-by-step explanation:

Since after a while, Jada picks up a coin that seems different than the others, and she notices that the next day, only half of the coin is left, while on the second day, only 1/4 of the coin is left and, on the third day, 1/8 of the coin remains, to determine what fraction of the coin remains after 6 days, what fraction of the coin remains after 28 days and determine if the coin will disappear completely, the following calculation must be performed:

1/2 ^ 6 = X

0.015625 = X

1/64 = X

1/2 ^ 28 = X

0.0000000037252902984619140625 = X

1/268435456 = X

Thus, after 6 days 1/64 of the coin will remain, while after 28 days 1/268435456 will remain. Now, it will never completely disappear, since it can always be reduced to a larger number.

Answer:

1. 40

2. 40

3. 140

4. 210.5

I tried, hope this helps :)

Answer:

(x-4) (x+1)

step by step explanation:,

Answer:

20, 20, 21, 22, 23, 23, 24, 24, 25, 25, 26, 26

Step-by-step explanation:

median (middle number) is (23 + 24) / 2 = 47/2 = 23.5 <== median

Q1 = (21 + 22) / 2 = 43/2 = 21.5 <== lower quartile

Q3 = (25 + 25) / 2 = 50/2 = 25 <== upper quartile

Your welcome! (Please correct me if im wrong!)

Please mark brainiest

Answer:

the answer is 47 sprinklers

Step-by-step explanation:

so the system is 188 and there is one sprinkler every 4 feet

so 188/4 which would give u 47

The positive angle is less than 360 which is coterminal with -725 degrees is  85 degrees.

Coterminal angles are those with the same beginning side and the same terminal sides. These angles are in the typical position, although their values differ. They have the same sides, are in the same quadrant, and their vertices are identical. The endpoint sides coincide at the same angle when the angles are rotated clockwise or anticlockwise.

An angle that is coterminal with -725 degrees is an angle that has the same initial and terminal sides as -725 degrees, but its measure is between 0 and 360 degrees.

To determine a positive angle less than 360 that is coterminal with -725 degrees, we can add or subtract multiples of 360 from -725 degrees until we get an angle within that range.

In this case, -725 degrees - (2 x 360) = -725-720= -1445.

So, the positive angle less than 360 that is coterminal with -725 degrees is -1445 degrees + 360 = 85 degrees.

To learn more about Coterminal Angles click here:

https://brainly.com/question/23093580

#SPJ2

Answer:

2

Step-by-step explanation:

15/3=5

25/5 = 5

10/2 = 5

Answer:

2

Step-by-step explanation:

You have to find the "pattern."

for 15 and 3, you have to divide 15 by 5 and thats 3.

for 25 and 5, 25/5 is 5, so 10/5 is 2.

Answer: 1.39(1.006)^t

Step-by-step explanation:

The equation P(t) that represents the growth function for China is P(t) = 1.39 * ( 1.006)ⁿ.

A statement that relates two unknown parameters such that one is dependent on the other is called a function.

It is given that

Initial population = 1.39 billion in 2013

Growth Rate = 0.6%

Let a represent the initial population

b is the growth rate

and 2 be the elapsed year from 2013

and let the population at any given year is P(t)

Then the equation formed is

P(t) = a * bⁿ

P(t) = 1.39 * ( 1.006)ⁿ

Therefore the equation P(t) that represents the growth function for China is P(t) = 1.39 * ( 1.006)ⁿ.

To know more about Function

https://brainly.com/question/21145944

#SPJ2

Answer:

1. f(x)=-x^2+40x+120. Answer: it would be the same answer

2. f(x)=−x 2 +40x+120. Answer: look at the both picture

Step-by-step explanation: Hope this help :D

Both functions have the same concavity—they are both concave downward.

Let's start with the first function, f(x) = -x² + 40x + 120.

First Derivative:

f'(x) = -2x + 40

Second Derivative:

f''(x) = -2

Since the second derivative is a constant (-2), it is negative for all values of x. Therefore, the first function has a concave downward shape.

Now let's move on to the second function, f(x) = -x² + 40x + 120.

First Derivative:

f'(x) = -2x + 40

Second Derivative:

f''(x) = -2

Similar to the first function, the second function also has a constant second derivative (-2) that is negative for all values of x. Therefore, the second function also has a concave downward shape.

In conclusion, both functions have the same concavity—they are both concave downward.

Learn more about functions

https://brainly.com/question/11624077

#SPJ2

Answer:

1. Right Angle

2. Acute Angle

3. Acute Angle

4. Obtuse Angle

5. Right Angle

Step-by-step explanation:

Please mark as brainliest

Answer:

5h=60 needs to go in the last one

Step-by-step explanation:

Answer:

1.25 of a sandwich

Step-by-step explanation:

5/4=1.25

I'm not sure if you have to round it or not, but I think this would be exact!

Hope this helps!

Answer: $21.60

Explanation: the phone originally costs $24 and is on a discount of 10%. this means that the price after the discount will be 90% of the original price, since the discount is 10% OFF.

to find 90% of 24, multiply 24 by .90, which is the decimal value of 90%.

24 x .90 = $21.60

Nora is definitely getting scammed because there's no way a phone is that cheap

Answer:Step-by-step explanation:

G(F(x))=(x - 5)²

Answer:

B

Step-by-step explanation:

College Board

Answer:

7.9

Step-by-step explanation:

I added 2.7 + 2.4 + 2.8, lmk if it's wrong.

Answer:

45.99 yd²

Step-by-step explanation:

The square is 5 yd × 7 yd

35 yd²

The circle = 2 × pi × radius

2 × 3.14 × 3.5

21.99115 rounds to 21.98 yd²

Since it is have a circle,

21.98 yd² ÷ 2

10.99 yd²

35 yd² + 10.99 yd²

45.99 yd²

Answer:

618.1875 cm^3

Step-by-step explanation:

Volume = base area x height, so 176.625 x 3.5 = 618.1875

Answer:

D) -10

Step-by-step explanation:

We will assign g(x) to be equal to 25, and then solve for x:

25 = -3x-5

30 = -3x

10 = -x

-10 = x

So D is correct

Answer:

-10 is correct option

Step-by-step explanation:

g(x)=-3(x)-5

g(-10)=-3(-10)-5

=30-5

=25

Answer:

15 miles.

Step-by-step explanation:

3/8 x 40 = 120/8

now divide,

120/8 = 15

Answer:

48 outfits

Step-by-step explanation:

Using Fundamental Principal of counting

number of outfits that Juan can wear

=number of ties * number of pants * numberof pants

=4*3*4

=48 outfits

The number of different outfits can he wear if he chooses one Tie, one shirt, one pair of pants for each outfit is 48 outfits.

The arrangement of different things or numbers in a number of ways is called a combination.

A permutation is an orderly arrangement of things or numbers. Combinations are a way to choose items or numbers from a collection or group of items without worrying about the items' chronological order.

Given that Juan has four ties, three shirts, and four pairs of pants.

Using the Fundamental Principle of counting,

Number of outfits that Juan can wear

N =number of ties x number of pants x number of pants

N =4 x 3 x 4

N =48 outfits

Therefore, the number of different outfits can he wear if he chooses one Tie, one shirt, one pair of pants for each outfit is 48 outfits.

To know more about permutation and combination follow

https://brainly.com/question/4658834

#SPJ2

Answer:

1 x= 23°

2 x= 148°

3 x= 106°

4 x=17.3°

5 x=25°

6 x=30°

7 x=45°

8 x=48°

9 x=44°