Find the number of unique permutations of the letters in the word: ONGOING

Answers

Answer 1

Answer:

The Number of unique permutation is  6,615

Step-by-step explanation:

  This particular permutation  deals with words that have repeated letters.

Given word = "ONGOING"

the formula for the permutation is

[tex]= \frac{n!}{mA! mB!.....mZ!}[/tex]

where   n   is the amount of letters in the word, and  m A , m B , ... , m Z  are the occurrences of repeated letters in the word. Each   m  equals the amount of times the letter appears in the word.

So in the word  "ONGOING"

n= 7

mO= 2

mN= 2

mG=2

[tex]permutations = \frac{7!}{2!2!2!} \\\\permutations= \frac{7*6*5*4*3*2*1}{(2*1)*(2*1)*(2*1)}[/tex]

[tex]permutations= \frac{52920}{8} \\permutation = 6,615[/tex]


Related Questions

There are 25 students in a class. Sixteen of those students are boys. What percent of the class are girls?

Answers

Answer:

36% of the students are girls

Step-by-step explanation:

(Boys) 16/25 = 64%

(Girls) 9/25 = 36%

Answer:

36%

Step-by-step explanation:

you first do 25 minus 16 to find out how many girls are in the class which is 9

now u do 9/25 = ?/100 to find out the percent of girls

9 times 100 divided by 25 which gives u 36%

hope this helps


When you add two rational numbers, each number
can be written as a ?

Answers

a Rational # , because when you add two rational #’s each number can be written as a rational #

what does a shape need to be a prallelogram?

Answers

Answer: Needs to be flat with opposite sides that are parallel and are the same in length

Find the equation of the line that passes through (−4, 8) with slope −3. Write in slope-intercept form. F y = – 3x – 4 G y = – 4x + 3 H y = 3x + 4 J y = 4x – 3

Answers

Answer: y=-3x-4

Step-by-step explanation:

Since we know slope, we can plug it into slope-intercept form to find the y-intercept by using the given points,

y=-3x+b

8=-3(-4)+b

8=12+b

b=-4

Now that we know the y-intercept, we can complete the slope-intercept form.

y=-3x-4


What is the quotient of 3/4 divided by 1/5

Answers

Answer:

15/4

Step-by-step explanation:

3/4:1/5= 3/4*5= 15/4

solve system by substitutition or elimination.
9x-8x=9
-18x+16y=-18

Answers

Answer:

1. 9x-8y=9

2. -18x+16y= -18 ⇒ -9x+8y= -9 ⇒ 9x-8y=9

as we see both equations are same, it means the lines overlap and there is infinite number of solutions

The Interplanet Space Centre is planning to launch a probe which will travel from Earth to Mars, on to Jupiter and then to Saturn. Distance from Earth to Mars 78 300 000 km Distance from Mars to Jupiter 550 400 000 km Distance from Jupiter to Saturn 648 700 000 km million km
Estimate to the nearest million how far it will travel on its journey.

Answers

Answer:

1,300,000,000

Step-by-step explanation:

 78    300   000

 550  400   000

 648  700   000

1  277  400   000

To the nearest million

1,2 | 77 400 000            more than 4, so +1

1,300,000,000

In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 41) and matching the number on the gold ball (1 through 31). If one ticket is purchased what is the probability of winning the jackpot?
(Type answer as an integer or a simplified fraction)

Answers

Answer:

1 / 2,787,760,560

Step-by-step explanation:

The number of permutations is:

41 × 40 × 39 × 38 × 37 × 31 = 2,787,760,560

So the probability of winning the jackpot is 1 / 2,787,760,560.

What is x X/5=15. ⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️

Answers

Answer:

x=3

Step-by-step explanation:

15/5=3 now I gotta get 20 chatacters

Answer:

[tex]x=75[/tex]

Step-by-step explanation:

[tex]\frac{x}{5} =15[/tex]

[tex]x=15 \times 5[/tex]

[tex]x=75[/tex]

What is the minimum and maximum whole number side length for △ABC with given side lengths of 9 cm and 11 cm? Please explain why

Answers

Answer:

Step-by-step explanation:

We would assume that triangle ABC is a right angled triangle. This means that we can apply Pythagoras theorem in determining the unknown side length.

For the case of the minimum side length, we would assume that the unknown length, L is one of the shorter legs of the triangle. By applying Pythagoras theorem, it becomes

11² = 9² + L²

L² = 121 - 81 = 40

L = √40 = 6.32

For the case of the maximum side length, we would assume that the unknown length, L is one of the hypotenuse of the triangle. By applying Pythagoras theorem, it becomes

L² = 9² + 11²

L² = 81 + 121 = 202

L = √202 = 14.21

The minimum side length is 6.32 and the maximum side length is 14.21

What’s the correct answer for this?

Answers

Answer:

6

Explanation:

According to secant-secant theorem,

(PB)(PA)=(PD)(PC)

(7)(12)=(PD)(14)

NOW

84/14 = PD

PD = 6

Solve the equation.
C +9 = 3.7

Answers

Answer:

C= -5.3

Hope this helps!

Brainliest?

Answer:

C = -5.3

Step-by-step explanation:

C+9=3.7

Subtract 9 from both sides

C+9-9=3.7-9

Simplify

C = -5.3

A fish tank has a base, B, with an area, in square inches, modeled by B(x) = 2x^2 + 6x + 4. The height, H, in inches, is modeled by H(x) = x + 3. Find the equation that models the fish tank’s volume, V, in cubic inches.

A. V(x) = 2x^2 + 7x + 7

B. V(x) = 2x^2 + 5x + 1

C. V(x) = 2x^3 + 12x^2 + 22x + 12

D. V(x) = 2x^3 + 8x^2 + 10x + 4

Answers

Answer:

C. V(x) = 2x^3 + 12x^2 + 22x + 12

Step-by-step explanation:

The volume of a fish tank is the multiplication of the area of the base by the height.

In this question:

Area of the base: [tex]B(x) = 2x^{2} + 6x + 4[/tex]

Height: [tex]H(x) = x + 3[/tex]

Volume:

[tex]V(x) = B(X)*H(x) = (2x^{2} + 6x + 4)(x + 3) = 2x^{3} + 6x^{2} + 4x + 6x^{2} + 18x + 12 = 2x^{3} + 12x^{2} + 22x + 12[/tex]

So the correct answer is:

C. V(x) = 2x^3 + 12x^2 + 22x + 12

Would you rather 36 spherical bottles with radi = 4.57 or three 12-packs of cans if each box is 15inx5inx4.4in

Answers

Answer:

  36 bottles

Step-by-step explanation:

Each spherical bottle will have a volume of ...

  V = (4/3)πr³ = (4/3)π(4.57³) = 399.8 . . . . cubic inches

Each box (12-pack?) will have a volume of ...

  V = LWH = (15 in)(5 in)(4.4 in) = 330 in³

This is a smaller volume than even one spherical bottle, so 36 bottles will have the larger volume.

Pick 3 cards from a standard 52-card deck. Find the P(of at least 1 red card).

Does this experiment represent a binomial probability situation? Explain why or why not.

Answers

Answer:P(BBR) = 1/2 × 25/51 × 26/50 = 13/102 if cards are not replaced.

P(RBB) = 1/2 × 26/51 × 25/50 (simplified 1/2) = 13/102

P(BRB) = 1/2 × 26/51 ×25/50 (simplified 1/2) = 13/102

Step-by-step explanation: P(B) at first step is 26 cards out of a possible 52 therefore 26/52 (or simplified 1/2). We then have 25 black cards left out of a possible 51 therefore 25/51. The final card then has to be red to meet the criteria, we have 26 red cards still out of a possible 50 therefore 26/50.

This would be an example of binomial probability as at each step there are only 2 options R or B.

What’s the correct answer for this? Select two answer choices

Answers

Answer:

D and F

Step-by-step explanation:

In the attached file

Please answer this question and thank you !! Will give you brainliest !!

Answers

The answer is D(same slope and diff intercepts are the key to having parallel lines)

Answer:

D

Step-by-step explanation:

Two lines are parallel if they have the same slope

y= mx+b

those with same m,

It only appears in the last option where m= -5 for both lines, so option d

What’s the correct answer for this?

Answers

Answer:

167

Step-by-step explanation:

What is the equation of the horizontal line through (-5,-2)

Answers

Answer:

  y = -2

Step-by-step explanation:

A horizontal line has an equation of the form ...

  y = constant

In order for the line to go through a point with a y-coordinate of -2, the constant must be -2.

  y = -2 . . . . horizontal line through (-5, -2)

A circle has a diameter of 10 feet. What is the area of the circle? Leave answers in terms of π.

Answers

Answer:

25pi

Step-by-step explanation:

If the circle has a diameter of 10, it has an radius of 5. The area of a circle is pi*r^2. If r=5, then it is 25pi.

Answer:

25π feet^2

Step-by-step explanation:

The area of a circle can be found using the following formula.

a=πr^2

We are given the diameter, but we need to find the radius. The radius is half of the diameter, or

r=d/2

We know the diameter is 10 feet. Therefore, we can substitute 10 in for d.

r=10/2

Divide 10 by 2

r=5

The radius is 5 feet.

Now we know the radius, and can substitute it into the area formula.

a=πr^2

r=5

a=π*5^2

Evaluate the exponent.

5^2 is equal to 5*5, which is 25.

a=π*25

a=25π

Add appropriate units. Area always uses units^2, and the units in this problem are feet.

a=25π feet^2

The area of the circle is 25π square feet

Which of the following measurements is the most precise?
A.A 15.5 foot tall tree
B.An 84-year-old man
C.A gas price of $2.359 per gallon

Answers

Answer:

C.)

Step-by-step explanation:

C.) Because it states the exact decimals rather than just stating about $2.36. Also, the other options were not specific. Hope this helps!  

I think it’s c. Because it’s the most precise going past three decimal places.

11. In your own words, describe how to view the
hean of a set of numerical data in two different
ways: in terms of leveling out and as a balance
point. In each case, give an example to illustrate.

Answers

Do they want me describe the step by step process or no???

ssume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between -1.94°C and -1.5°C.

Answers

Answer:

[tex]P(-1.94<X<-1.5)=P(\frac{-1.94-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{-1.5-\mu}{\sigma})=P(\frac{-1.94-0}{1}<Z<\frac{-1.5-0}{1})=P(-1.94<z<-1.5)[/tex]

And we can find this probability with this difference:

[tex]P(-1.94<z<-1.5)=P(z<-1.5)-P(z<-1.94)=0.0668-0.026= 0.0408[/tex]

Step-by-step explanation:

Let X the random variable that represent the temperatures of a population, and for this case we know the distribution for X is given by:

[tex]X \sim N(0,1)[/tex]  

Where [tex]\mu=0[/tex] and [tex]\sigma=1[/tex]

We are interested on this probability

[tex]P(-1.94<X<-1.5)[/tex]

And using the z score formula given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

And using this formula we got:

[tex]P(-1.94<X<-1.5)=P(\frac{-1.94-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{-1.5-\mu}{\sigma})=P(\frac{-1.94-0}{1}<Z<\frac{-1.5-0}{1})=P(-1.94<z<-1.5)[/tex]

And we can find this probability with this difference:

[tex]P(-1.94<z<-1.5)=P(z<-1.5)-P(z<-1.94)=0.0668-0.026= 0.0408[/tex]

Which is the graph of the equation ? y-1=2/3(x-3)?

Answers

It’s the third graph.
Hope this helped:)

A function assigns values. The graph of the equation y-1=2/3(x-3) is the second graph.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

As the function is given to us that y-1=2/3(x-3), now substitute the value of x as 0 and y as 0 to get the intercept of the function. Therefore,

x-intercept

[tex]y-1=\dfrac23(x-3)\\0-1= \dfrac23x-\dfrac23(3)\\\\-1 = \dfrac23x - 2\\\\-1+2 = \dfrac23x\\\\x = \dfrac32[/tex]

y-intercept

[tex]y-1=\dfrac23(x-3)\\\\y-1=\dfrac23(0-3)\\\\y-1=\dfrac23(-3)\\\\y= -2+1\\\\y=-1[/tex]

Thus, we need to look for the graph which intersects the x-axis at 3/2 while the y-axis at -1. Therefore, as shown the below graph.

Hence, the graph of the equation y-1=2/3(x-3) is the second graph.

Learn more about Function:

https://brainly.com/question/5245372

Sloane kicked a soccer ball at a speed of 48 feet per second. If the ball never leaves the ground, then it can be represented by the function H(t) = −16t2 + 48t. Determine the time the ball traveled. t = 0.33 seconds t = 3 seconds t = 16 seconds t = 48 seconds

Answers

Answer:

t = 3 seconds

Step-by-step explanation:

I took the test and i got it right.

The time the given ball traveled for is required.

The time the ball traveled was t = 3 seconds

Equation of motion

The given equation is [tex]H(t)=-16t^2+48t[/tex]

The ball never leaves the ground so the height of the ball is 0.

[tex]0=-16t^2+48t[/tex]

Solving the equation we get

[tex]-48t=-16t^2[/tex]

Dividing the equation by [tex]t[/tex] on both sides

[tex]\Rightarrow 48=16t[/tex]

Dividing the equation by 16 on both sides

[tex]\Rightarrow t=\dfrac{48}{16}\\\Rightarrow t=3\ \text{s}[/tex]

Learn more about equation of motion:

https://brainly.com/question/25951773

The football team makes a profit of 20% on all sales of jerseys. During one season, the total sales on jerseys were $2625. How much was the profit?

Answers

Answer:

2625*0.2= $525 in profit

Pls brainliest!!

5 customers buy 10,15,20,25,30 toffees respectively from 1 shop. But the the person who bought 20 toffees forgot to pay .if the shopkeeper makes 20% profit what will be his profit or loss from these five customers of the person who forgot to pay at pay his amount had paid his amount?
50% profit ,60% profit, 40% loss ,20% loss.

Answers

Answer:

40% profit

Step by step Explanation:

Profit percentage

=( profit/cost price) * 100

0.2 = profit/cost

10+15+20+25+30= 100

Let's assume the cost price of the items is $1 each

Cost price total= $100

Profit made when buyer of 20 toffe didn't say was

0.2=profit/cost

0.2*100 =$20

If the$ 20 paid.

Total profit = $40

So percentage profit now

40/100 * 100 = 40%

The shopkeeper makes a loss of 40% and this can be determined by using the given data.

Given :

5 customers buy 10,15,20,25,30 toffees respectively from 1 shop. But the person who bought 20 toffees forgot to pay.The shopkeeper makes a 20% profit.

The following steps can be used in order to determine the profit or loss the shopkeeper makes:

Step 1 - The total number of toffees can be calculated as:

[tex]\rm Total \; Toffees = 10 +15 + 20+ 25+ 30\\\rm Total \; Toffees = 100\\[/tex]

Step 2 - Now, let the cost of 1 toffee be $1. So, the cost of 80 toffees is $80.

Step 3 - So, the value of 20% profit by selling 80 toffees be 'x'. So, the value of 'x' is:

[tex]x = \dfrac{20}{100}\times 80[/tex]

[tex]x = \$16[/tex]

Step 4 - Now, let the profit or loss be 'y'. So, the value of 'y' is:

[tex]y = \dfrac{20}{80}\times 16[/tex]

[tex]y = \$4[/tex]

Step 5 - So, the loss percentage is 40%.

Therefore, the correct option is C).

For more information, refer to the link given below:

https://brainly.com/question/1494270

Suppose that you had consumer group wanted to test to see if weight of participants in a weight loss program changed (up or down). They computed a 95% confidence interval of the result (-4.977, 2.177). What do we know about the p-value for the test?

Answers

Answer:

What we know about the p-value for the test is that it will be less than 0.05

Step-by-step explanation:

The complete question is as follows;

Suppose that you had consumer group wanted to test to see if weight of participants in a weight loss program changed (up or down). They computed a 95% confidence interval of the result (-4.977, -2.177). Suppose that we had a significance test with the following hypothesis:

H0: population mean weight loss = 0

Ha: population mean weight loss does not equal 0

What do we know about the p-value for the test?

solution;

Given the information in the question, we are concerned with saying what we know about the p-value for the test

To answer this question, we shall be looking at it from the angle of the confidence interval

The confidence interval given is 95%.

Now what does this indicate?

It indicates that 95% confidence interval contains only values which are less than 0.

What does this mean for the p-value?

This means that the p-value will be less than 0.05

Write the following statement as a unit rate: 18 laps in 6 minutes

Answers

Answer:

3 laps per minute

Step-by-step explanation:

Take the number of laps and divide by the minutes

18/6 = 3 laps per minute

Answer:

3 laps per min

Step-by-step explanation: divide 18 and 6

Solve for x.
6(x - 1) = 9(x + 2)
X = -8
X = -3
X = 3
x = 8

Answers

Answer:x=-8

Step-by-step explanation:

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