Jim is entering kennywood with 5 of his friends. At the gate they must go through a turnstile one at a time. How many ways can Jim and his friends go through the turnstile

Answers

Answer 1

Answer:

6 ways

Step-by-step explanation:

The total number of people we have entering Kennywood is 6, since it’s Jim with 5 of his friends.

Now, we can only have movement through the game one at a time

The number of ways they can move through the gate one at a time is 6C1 ways

and that is mathematically;

if we are to select a number of r items from a total of n, the number of combinations or ways is;

nCr = n!/(n-r)!r!

Applying these to the problem at hand, we have

6!/(6-1)!1! = 6!/(5!)(1!) = (6 * 5!)/5! = 6 ways


Related Questions

work out 4 1/9 - 3 3/5

Answers

Answer:

23/45 or0.51

Step-by-step explanation:

convert:the equation

u will hv 37/9-18/5

subtract. 37/9-18/5=23/45

23/45 or 0.51

Fair is 5$ and the cost per ride is 0.50 how many rides can you go on if you have 20$

Answers

Answer: 30 rides I think

Step-by-step explanation:

Answer:

30 rides

Step-by-step explanation:

y = mx + b

0 = -.5x + 20 - 5

0 = -.5x + 15

-15 = -.5x

30 = x

Tia types 66 words in 3 minutes. She wants to know how many words she can type in 5 and 10 minutes if she keeps the same rate.

Answers

Answer:

110 words in 5 min, 220 words in 10 min

Step-by-step explanation:

y = mx (there is no intercept because you can't type anything in 0 minutes)

66 = 3m

m = 22

y = 22x

5 minutes:

y = 22(5) = 110 words

10 minutes:

y = 22(10) = 220 words

Which equation represents the circle shown in the graph?

Answers

Answer:

i think 3

Step-by-step explanation:

there are 9800 films on netflix. 11% of the films are romance. how many films are romance?

Answers

Answer:

[tex]1078[/tex]

Step-by-step explanation:

[tex]9800 \times \frac{11}{100} = 1078[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

What is the volume of a cube of side 2cm ?

Answers

Answer:

8cm

Step-by-step explanation:

the number at the bottom of the exponent is called a power, true or false

Answers

Answer:

False.

Step-by-step explanation:

Let's say we had [tex]2^{4}[/tex] we would say 2 to the power of 4.

2 is the base and 4 is the exponent.

Answer:

false

Step-by-step explanation:

the number at the bottom of the exponent is called a base. for example, if your exponent is 2^3, as shown in the image, the 2 would be the base and the 3 would be the power :)

Keisha estimates 259+372 by rounding each number to the nearest 10. What is Keisha's estimate of the sum?

Answers

Answer:

630

Step-by-step explanation:

259 rounded to the nearest 10 is 260

372 rounded to the nearest 10 is 370

260+370=630

Hope this helps!

I need help with this question ASAP please!!!

At Lewisville University, they are looking into how often students
attend football games. Here are the results:
● 45% of students regularly attend football games
● Of those that attend football games regularly, 35% are first-year
students and 64% are upper-class students.
● Of those that do not attend football games, 25% are first-year
students and 34% are upper-class students
What is the approximate probability that a randomly selected person
will be attending the football game given they are an upper-class
student?

Answers

Answer:

60.63%

Step-by-step explanation:

Prob. of students who regularly attend = 45%

Prob. of students who don't attend = 55%

Upper Class Students who attend = 64 % of 45 %

= 0.64 × 0.45 × 100 = 28.8% = 0.288

Upper Class Students who don't attend = 34 % of 55% = 0.34 × 0.55 × 100 = 18.7% = 0.187

Total for Upper Class Students = 28.8% + 18.7% = 47.5% = 0.475

Probability that an Upper Class Student randomly selected will be attending = ( 0.288 / 0.475 ) × 100 = 0.6063 × 100 = 60.63%

Evaluate for F when C= 20°.
F=9/5C+32​

Answers

Answer:

work is shown and pictured

When the large prism was reduced, the surface area changed by a factor of:

Answers

Answer: 16/25

Step-by-step explanation:

Answer:

The answer is 16/25

Step-by-step explanation:

Since the original scale factor was 4/5 then you would need to square four and five in order to get the new scale factor.

When you square 4 you get 16 and when you square 5 you get 25. Therefore the answer should be 16/25.

*I also got it right on the edge quiz

The restrooms for the former Estabrook Hall were known to each be 117 cubic feet in volume. We are tasked with creating a 1:4 scale model of one of the rooms. For the purposes of this analysis, we'll treat the facilities like simple rectangular boxes. What is the volume of the model in cubic inches? If the model has a floor area of 117 sq. Inches, what is the height of the real facility? (include units with answer)

Answers

Answer:

1) The volume of the model is 3159 in.³

2) The height of the real facility is 61.94 ft

Step-by-step explanation:

1) The parameters given are;

Volume of the Estabrook hall = 117 ft³

Scale of model = 1:4

For the scale factor of a volume, we have;

[tex]Volume \, scale \, factor =\left (\frac{a}{b} \right )^3 = \left (\frac{1}{4} \right )^3 = \frac{1}{64}[/tex]

That is the volume of the model is 1/64 times the volume of the actual Estabrook hall restrooms or

[tex]\frac{1}{64} \times 117 \, ft^3= 1\tfrac{53}{64} \, ft^3[/tex]

∴ The volume of the model = 1.83 ft.³

1 ft.³ = 1728 in.³

∴ 1.83 ft.³ = 1.83 ft.³ × 1728 in.³/ft.³ = 3159 in.³

2) Where the model of the floor has an area of 117 in.²

Therefore, since the volume of a rectangular prism shape = Floor area × Height, we have

The height, h = Volume/(floor area) = 3159/117 = 185.8 in.

From a scale of 1:4, we have that the height of the real facility = 4 × 185.8 in.

Hence, the height of the real facility = 743.3 in = 61.94 ft.



What are three ways you can solve a proportion?

Answers

Answer:

Vertical.

Horizontal.

Diagonal (often called "cross-products")

Step-by-step explanation:

What’s the equation of a line??

Answers

i believe it is y=3x+3

help!! please explain as well!! Thx!

Answers

Answer:

0

Check my steps.

Step-by-step explanation:

So there are 125 total in the driver safety course.

There are 28 accidents.

28 / 125

0.224

So... when you round it down, you get 0.

An item is regularly priced at $80 . It is on sale for 30% off the regular price. How much (in dollars) is discounted from the regular price

Answers

Answer:

24

Step-by-step explanation:

You take 80 and multiply it by .3 which gives you 24

What is the correct equation for the line in slope-intercept form?

Answers

Answer:

y=-5x+35

Step-by-step explanation:

The equation for a line in slope intercept form is y=mx+b, where m is the slope of the line and b is the y intercept, or where the line meets the y axis.

First, we should calculate the slope of the line. The slope of any line is rise over run. We can select any two points- I will select (6,5) and (4, 15).

We see that the rise is 10 units, because 15-5=10, and the run is -2 units, because 4-6=-2. We have rise over run which is 10/-2, or -5.

So, we find that the m value is equal to -5.

The y intercept is easier to find, it is just where the line meets the y axis. The lines meets the y axis at the point (0,35) so the y intercept is 35.

Thus we have the equation of the line is y=-5x+35.

Hope this helps!

what’s the answer to 10a - 13a being factored

Answers

Answer:

a(10 - 13)

Step-by-step explanation:

The only common factor between these numbers is a, as 10 and 13 do not share factors (13 is prime). We can only factor out a.

Answer:

correct

Step-by-step explanation:

The pressure exerted on the walls of a container by a gas enclosed within it is directly proportional to the temperature of the gas. If the pressure is 6 pounds per square inch when the temperature is find the pressure exerted when the temperature of the gas is

(SHOW WORK)

Answers

Answer:

5.18 pounds per square inch

Complete question:

If the pressure is 6 pounds per square inch when the temperature is 440° F,find  the pressure exerted when the temperature of the gas is 380°F.

Step-by-step explanation:

According to the Gay Lussac's Law:

[tex]\frac{P_1}{T_1} =\frac{P_2}{T_2}[/tex]

where, P and T are the pressure and temperature of an enclosed ideal gas.

Given:

Initial pressure [tex]P_1[/tex] = 6 pounds per square inch

Initial Temperature [tex]T_1[/tex]=440° F

Final Temperature [tex]T_2[/tex]=380° F

Final Pressure [tex]P_2[/tex]=?

Substituting all values in the formula

[tex]\frac{6}{440} =\frac{P_2}{380}[/tex]

[tex]P_2[/tex] = [tex]\frac{6\times380}{440}[/tex]

[tex]P_2[/tex]= 5.18pounds per square inch

Enter the slope intercept equation of the line Shown below.

Answers

Answer:

The answer is y = 3x + 3.

Step-by-step explanation:

Hope it helped!

What is the value of b?


36

63

40
75

Answers

The correct answer is 36

Determine the arc length of AC, where the arc measures 70' and the diameter of the circle is 24 units. Round your answer to the nearest hundredth.

Answers

Answer:

AC = 14.65

Step-by-step explanation:

arc length = 2 * pi * R * (theta /360)

= 2 * pi * (24/2) * (70/360)

= 14.65 (ANS)

Omar is participating in a -day cross-country biking challenge. He biked for 67,60 ,69 ,68 , and 70 miles on the first five days. How many miles does he need to bike on the last day so that his average (mean) is 67 miles per day?

Answers

Answer:

68 miles

Step-by-step explanation:

Distance biked on the first five days =67,60 ,69 ,68 , and 70 miles

Let the distance biked on the sixth day=x miles

We want his average for the 6 days =67 miles per day

Therefore:

[tex]Average=\dfrac{67+60+69+68+70+x}{6} \\67=\dfrac{334+x}{6}\\$Cross multiply\\67*6=334+x\\402=334+x\\x=402-334\\x=68 miles[/tex]

He needs to bike 68 miles on the sixth day to get an average of 67 miles per day/

Complete the equation describing how x and y are related. I think the answer is 2?

Answers

Answer:

yes, the answer to this question is y=2x

4/7 - -3/5 step by step pls explain​

Answers

Answer:

41/35

Step-by-step explanation:

Simplify the following:

4/7 + 3/5

Put 4/7 + 3/5 over the common denominator 35. 4/7 + 3/5 = (5×4)/35 + (7×3)/35:

(5×4)/35 + (7×3)/35

5×4 = 20:

20/35 + (7×3)/35

7×3 = 21:

20/35 + 21/35

20/35 + 21/35 = (20 + 21)/35:

(20 + 21)/35

| 2 | 1

+ | 2 | 0

| 4 | 1:

Answer: 41/35

The number of apples in 15 pound boxes sold at a farm is normally distributed as shown below.

Number of apples in a box
What approximate percentage of boxes have less than 20 apples?


a. 84%
b. 15%
c. 16%
d. 20%

Answers

Answer: 16%

Step-by-step explanation:

Answer:

Sample answer from Edm and Plato

Step-by-step explanation:

PLEASE HELP ANSWER!

is y+7=2x+3y linear or nonlinear?

Answers

Answer:

linear

Step-by-step explanation:

its is linear I know this for a fact I had this same question

yeah its linear .....

Each student in a class recorded how many books they read during the summer. Here is a box plot that summarizes their data. What is the greatest number of books by a student in this group

Answers

Answer:

15

Step-by-step explanation:

.

The greatest number of books by a student in this group is 15.

What is the interquartile range?

An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.

W can find the values of the upper and lower quartile and median from a box plot.

The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.

The formula used is Upper quartile - Lower quartile.

We have,

From the box plot,

We can see that,

Median = 6

First quartile = 2

Third quartile = 10

Smallest number = 2

Highest number = 15

Thus,

The greatest number of books by a student in this group is 15.

Learn more about the interquartile range here:

https://brainly.com/question/29204101

#SPJ3

One side of a rectangle is 3 inches shorter than the other side, and the perimeter is 54inches. What are the dimensions of the rectangle? Which of the following could be used to solve the problem?

Answers

Answer:

15 and 12

Step-by-step explanation:

Set the two sides as x and y

y=x-3

P = 2w+2l

2x+2(x-3) = 54

4x-6=54

4x=60

x=15

y=12

Charlie invests $325 in an account that pays 8% simple interest for 15 years. Use the simple interest formula, I = P ∙ r ∙ t, to answer the following questions.   How much interest will Charlie’s initial investment earn over the 15-year period? How much money does Charlie have after the 15 years?
PLZ HELP ASAP

Answers

Answer:

390 and 715

Step-by-step explanation:

Answer:

Charlie invests $325 in an account that pays 8% simple interest for 15 years.

Use the simple interest formula, I = P ∙ r ∙ t, to answer the following questions.

 

How much interest will Charlie’s initial investment earn over the 15-year period?

✔ $390

How much money does Charlie have after the 15 years?

     

✔ $715

Step-by-step explanation:

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