Two horses start a race at the same time. Horse A gallops at a steady rate of 32 feet per second and Horse B gallops at a steady rate of 28 feet per second. After 5 seconds, how much farther will Horse A have traveled? Explain your reasoning. *

Answer: 79 seconds.

Step-by-step explanation:1) we have to calculate the lenght of the baseball field.

perimeter of the baseball field=2(radius)+lenght of a semicircle.

2(radius)=2(175 ft)=350 ft

lenght of a semicircle=40% of a circumference=(40/100)(2πr)

Perimeter of the baseball field=2(175 ft) + (40/100)(2π175 ft)=

=350 ft + 140π ft=350 ft + 439.82 ft=789.82 ft,

2)Now, we calculate the amounts of time that it takes you to ruan arount the baseball field.

10 ft------------------------1 second

789,82 ft-----------------    x

x=(789.82 ft * 1 second) / 10 ft=78.98 s≈79 s

Answer:

Step-by-step explanation:

Answer:

A) 0.1339

B) 0.8078

Step-by-step explanation:

The Poisson Distribution formula is given by;

P(x; μ) = (e^(-μ) × (μ^(x))/x!

We are given;

Variance = 0.5 per month

Now, in Poisson distribution, variance = mean.. Thus, mean μ = 0.5 per month

A) We want to find the probability that 4 typhoons will hit US in a year.

Thus, x = 4

But since it's for a year, then μ = 0.5 × 12 = 6

So;

P(x = 4) = (e^(-6) × (6^(4))/4!

P(x = 4) = 0.00247875 × 1296/24

P(X = 4) = 0.1339

B) probability that at least 2 typhoons will hit US in a given half-year is;

P(X ≥ 2) = 1 - P(X < 2)

P(X < 2) = P(X = 0) + P(X = 1)

In a half given year, μ = 0.5 × 6 = 3

P(X = 0) = (e^(-3) × (6^(0))/0!

P(X = 0) = 0.0498

P(X = 1) = (e^(-3) × (6^(1))/1!

P(X = 1) = 0.1494

P(X < 2) = 0.0498 + 0.1494

P(X < 2) = 0.1922

P(X ≥ 2) = 1 - 0.1922

P(X ≥ 2) = 0.8078

Step-by-step explanation:

Triangles RQP and RBC are congruent.

Letters R and P are the 1st and 3rd letters in RQP.

Letters R and C are the 1st and 3rd letters in RBC.

Hence line RP = line RC = line CR (D).

D) CR

ΔRQP ≅ ΔRBC

They are congruent so if you highlight the line PR and find the similar one,

ΔRQP ≅ ΔRBC

The line would be line CR.

Answer: x = -2/3

[tex]\frac{x}{x+2}- \frac{4}{x-2}=1\\\\<=>\frac{x(x-2)}{(x+2)(x-2)}-\frac{4(x+2)}{(x+2)(x-2)}=1\\\\\\<=>\frac{x(x-2)-4(x+2)}{(x-2)(x+2)}=1\\\\\\=>x(x-2)-4(x+2)=(x-2)(x+2)\\\\\\<=> x^{2} -2x-4x-8=x^{2} -4\\\\\\<=>-6x-8=-4\\\\\\<=>-6x=8-4\\\\\\<=>-6x=4\\\\\\<=>x=-4/6=-2/3[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hey if you give me your email i ca email you the aswer it wot let me link a photo lol

Answer:

The alligator is 60 Inches long.

Step-by-step explanation:

5 feet is 60 inches.

hope it helps!

Answer:

60 inches

Step-by-step explanation:

There are 12 inches in 1 foot, therefore the ratio of inches to feet is 12:1.

If the alligator is 5 feet than the amount of inches increase.

In order to find how long the alligator is in inches, multiply 5 by 12

5 x 12 = 60

Answer:

40%

Step-by-step explanation:

26×100=2600÷65=40

40%×65=26

Answer:

21

Step-by-step explanation:

I am 90% sure but tell me if i'm wrong

Answer:

t = 13.33 second

Step-by-step explanation:

Given:

Equation first -25t+1250

Equation second 50t+250

Computation:

-25t+1250=50t+250

75 t = 1,000

t = 13.33 second

Means in t (13.33) second both container have same amount of liquid

Answer:

b?

Step-by-step explanation:

b= v16.4

Answer:

12

Step-by-step explanation:

a2 b

(    )2 (  )

(–2)2 (3)

(4)(3)

Answer:

1) the average time a car is in the system is 0.1587 min

2) the average number of cars in the system 0.1111

3) the average time cars spend waiting to receive service is 0.01587 min

4) the average number of cars in line behind the customer receiving service is 0.01111

5) the probability that there are no cars at the window is 0.9

6) the percentage of time that the postal clerk is busy is 10%

7) the probability that there are exactly two cars in the system is 0.1217

Step-by-step explanation:

Given that;

Arrival rate λ = the rate of 7 every 10 minutes = 7/10 = 0.7

Average service time μ = 7 minutes

The Poisson distribution is appropriate for the arrival rate and service times are exponentially distributed.

1) What is the average time a car is in the system?

Average in the system W = 1 / (μ - λ)

= 1 / (7 - 0.7) = 1 / 6.3 = 0.1587 min

therefore the average time a car is in the system is 0.1587 min

2) What is the average number of cars in the system?

Average number of cars L = λ / (μ - λ)

= 0.7 / (7 - 0.7) = 0.7/6.3 = 0.1111

Therefore the average number of cars in the system 0.1111

3) What is the average time cars spend waiting to receive service?

Average time spend waiting for services  Wq = λ / μ(μ - λ)

= 0.7 / 7(7 - 0.7) = 0.7/44.1 = 0.01587 min

Therefore the average time cars spend waiting to receive service is 0.01587 min

4) What is the average number of cars in line behind the customer receiving service?

average number of cars in line behind the customer receiving service

Lq = λ² / μ(μ - λ) = (0.7)² / 7(7 - 0.7) = 0.49 / 44.1 = 0.01111

Therefore the average number of cars in line behind the customer receiving service is 0.01111

5) What is the probability that there are no cars at the window?

probability that there are no cars at the window = 1 -  (λ / μ)

= 1 -  (0.7 / 7) = 1 - 0.1 = 0.9

Therefore the probability that there are no cars at the window is 0.9

6) What percentage of the time is the postal clerk busy?

percentage of the time is the postal clerk busy = (λ / μ)

= (0.7 / 7) = 0.1 ≈ 10%

Therefore the percentage of time that the postal clerk is busy is 10%

7) What is the probability that there are exactly two cars in the system?

the probability that there are exactly two cars in the system = (λ²e^-λ) / 2!

= (0.7²e^-0.7) / 2! = 0.2433 / 2 = 0.1217

Therefore the probability that there are exactly two cars in the system is 0.1217

Answer:

12.5

Step-by-step explanation:

it's the awnser. I need to explain why

Answer:

[tex]p = i - e[/tex]

Step-by-step explanation:

Given

[tex]i = income[/tex]

[tex]e = expenses[/tex]

Required

Determine the profit (p)

Profit (p) is the difference between income (i) and expenses (e)

.

Mathematically:

[tex]Profit = Income - Expenses[/tex]

i.e.

[tex]p = i -e[/tex]

Option D is correct.

Answer:

d

Step-by-step explanation:

The red lines mean the sides with the lines are the same. The red arc means those angles are the same.

Using that information you know the angle where the two same sides connect would also be the same.

So you have one side (S) and 2 angles (A) that are identical.

You can use B. ASA

Answer:

I think it is B.

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

[tex]0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11[/tex]

Step-by-step explanation:

Given

[tex]0, 8, 9, 6, 5, 7, 2, 4, 3, 1, 11[/tex]

Required

Determine the mode

Though, not necessary; it is a good practice to order the given data either in ascending or descending order.

In ascending order, the ordered data are:

[tex]0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11[/tex]

Mode implies that: the data that has the highest number of occurrence.

In the given data, each data has a frequency of 1.

Hence, the mode is:

[tex]0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11[/tex]

Answer:

quadrilateral

Step-by-step explanation:

A quadrilateral that has two pairs of parallel sides.

Answer:

sqrt(A/pi), -sqrt(A/pi)

Step-by-step explanation:

A=pi*r^2

r^2=A/pi

r=sqrt(A/pi), -sqrt(A/pi)

Answer:

Step-by-step explanation:

Formula to be used,

A = [tex]P(1+\frac{r}{n})^{nt}[/tex]

Here, A = Final amount

P = Principal amount

r = rate of interest

n = Number of compounding (In a year)

t = Duration of investment (In years)

Question (5)

P = $4250

r = 0.015

n = 4

t = 3 years

A = [tex]4250(1+\frac{0.015}{4})^{4\times 3}[/tex]

A = [tex]4250(1.00375)^{12}[/tex]

A = $4445.24

Part (C)

1). P = $6000

   r = 0.03

   n = 2

   t = 10 years

  A = [tex]6000(1+\frac{0.03}{2})^{2\times 10}[/tex]

      = [tex]6000(1.015)^{20}[/tex]

      = $8081.13

2). P = $9000

    r = 0.05

    n = 2

    t = 8 years

    A = [tex]9000(1+\frac{0.05}{2})^{2\times 8}[/tex]

        = [tex]9000(1.025)^{16}[/tex]

        = $13360.55

Answer:

B

A

Step-by-step explanation:

Use the graph to find the amplitude and period.

Notice amplitude is the absolute value of the number in front of either sin or cos

please give a heart for thanks :)

Answer:

See image for reference

Step-by-step explanation:

Answer:

Its b

Step-by-step explanation:

Answer:

you should use desmos graphing. When you get there in the top left corner there are 3 lines. press that and scroll down. when you see sarcastic linear regression press that and put the coordinates points I hope this helped :))

9514 1404 393

Answer:

  13 cm wide;  15 cm long

Step-by-step explanation:

Let w represent the original width. Then the original length is (w+2) and the original area is w(w+2). After the decrease, the width is (w-1) and the length is (w+1). The decreased area is (w-1)(w+1). The difference between these areas is 27, so we have ...

  w(w+2) -(w-1)(w+1) = 27

 w^2 +2w -(w^2 -1) = 27

 2w +1 = 27

  w = (27-1)/2 = 13

The original piece of cardboard was 13 cm wide and 15 cm long.

Answer:I am pretty sure the answer is

C. "They are perpendicular to each other."

Step-by-step explanation:

For a shape to be reflected, it must be reflected across a line.

The true statement about the relationship between segments M, M' and the x-axis is that (c) they are perpendicular to each other

Given that:

When the shape is reflected across the x-axis, we have the following perpendicular and congruent lines

Hence, the relationship between segments M, M' and the x-axis is that (c) they are perpendicular to each other

Read more about reflection at:

https://brainly.com/question/18549175

Answer:

1/8

Step-by-step explanation:

7/12= 14/24                                    14/24 + 7/24= 21/24                    

21/24= 7/8           1-7/8= 1/8

The fraction of the total number of puzzle pieces has not been used is 1/8.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Sara and Harry are putting together a puzzle. Sara put together 7/12 of the puzzle pieces. Harry put together 7/24 of the puzzle pieces.

The fraction of the total number of puzzle pieces has not been used is calculated as,

7/12= 14/24      

21/24= 7/8        

1-7/8= 1/8

To know more about an expression follow

https://brainly.com/question/19961687

#SPJ2

Answer:

I had this question and i got it right it is the measure is four

Step-by-step explanation: