how many different letter arrangements can be obtained from the letters of the word statistically, using all the letters?

Answers

Answer 1

Different letter arrangements that can be obtained from the letters of the word statistically, using all the letters= 6,48,64,800

Given,

Total number of arrangements obtained = 6,48,64,800

Given words = STATISTICALLY

Total word count = 13

Here we have repeated alphabets as -

"S"s = 2

"T"s = 3

"A"s = 2

"I"s = 2

"L" = 2

Total permutations we have here = 13! / 2!2!2!2!3!

= 6,22,70,20,800 / 96

= 6,48,64,800

What is Permutation?

A permutation of a set in mathematics is, broadly speaking, the rearranging of its components if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."

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Related Questions

what's 4,1 rotated 270 clockwise?

Answers

Answer:

should be -1,4

Step-by-step explanation:

a fair six-sided die is rolled twice. what is the probability of getting 2 on the first roll and not getting 4 on the second roll?

Answers

The probability of  getting 2 on the first roll and not getting 4 on the second roll is 5/36.

The two events mentioned are independent.

Given, first event getting 2 on the first roll and second event getting 4 in second roll.

So, the first roll of the die is independent of the second roll.Therefore, the probabilities can be directly multiplied.

P (getting first 2) = 1/6

P (no second 4) = 5/6

Therefore P (getting first 2 and no second 4) = 1/6 x 5/6  = 5/36

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there are eight friends each friend wants five gummy bears and there are nine gummy bears and each box how many boxes will they need

Answers

At least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.

What is Division by Sharing?

A technique used to introduce the idea of division is sharing equally. It entails dividing a sum equally across groups, one at a time, until each group has the same amount. When teaching division by sharing, physical objects like counters are frequently used.

let the number of gummy bears bag = x

9x/8 = 5

9x = 40

x = 4.4

Thus, at least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.

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Find the volume of the figure

Answers

Answer: 5 m³

Step-by-step explanation:

    We will break the figure into two different parts.

    Volume of a rectangular prism can be found with V = L * W * H

V = L * W * H

V = (2 m) * (1.5 m) * (1.5 m)

V = 4.5 m³

-

V = L * W * H

V = (2 m) * (2 m - 1.5 m) * (0.5 m)

V = 0.5 m³

    Now, we will add them together.

4.5 m³ + 0.5 m³ = 5 m³

Answer:

5m³

Step-by-step explanation:

Hello!

You can picture this rectangular prism as a whole prism with a part removed.

The dimensions of the whole prism are 1.5m, 2m, and 2m.

The part cut out is 1m, 0.5m, and 2m.

We can find the volume of the whole rectangular prism and subtract the volume of the removed part.

Find the volume(1.5 * 2 * 2) - (1 * 0.5 * 2)6 - 15

Since the units of length are meters, the volume should be represented as meters³. The volume is 5m³.

Bookmarks are on sale at a store: buy 4, get 1 free! A teacher
bought 47 bookmarks for their students. If each bookmark
costs $1.30, how much did the teacher spend on bookmarks?
LA
Enter the answer

Answers

Answer:

Step-by-step explanation:

$52.00

combine these radicals

Answers

Answer:

[tex]2 \sqrt{3} [/tex]

Torvald uses an equation to produce the following table of
ordered pairs:
X
-2
0
y
-7
-3
1
5
Which equation describes this list?
24

Answers

Answer:

x + 4

For the equation to be true, you have to input the x value and it should give you the y value that corresponds. For example, we will input -2. Hopefully we get -7

-2 + 4

2

this means that x + 4 is not correct.

What about -3x? lets see

-3(-2)

-6

nope!

2x - 3

2(-2) - 3

-4 - 3

-7!!

2x - 3 is the answer!!

Step-by-step explanation:

HELP!!
what is the answer to number 18

Answers

Answer:

c

Step-by-step explanation:

The number of solutions of the equation [tex]5x^2+7x-4=0[/tex] is 2. Option (c) is correct.

Further explanation:

The Fundamental Theorem of Algebra states that the polynomial has n roots if the degree of the polynomial is n.

The polynomial function has n roots or zeroes.

Given:

The equation is [tex]f(x)=5x^2-7x-4=0[/tex]

According to the Fundamental Theorem of Algebra the function has 2 roots

Solve the above equation to obtain the zeros.

[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\frac{-7\pm \sqrt{7^2-4\cdot \:5\left(-4\right)}}{2\cdot \:5}[/tex]

[tex]\sqrt{7^2-4\cdot \:5\left(-4\right)}[/tex]

[tex]=\sqrt{129}[/tex]

[tex]x_1=\frac{-7+\sqrt{129}}{2\cdot \:5},\:x_2=\frac{-7-\sqrt{129}}{2\cdot \:5}[/tex]

so, x has 2 solutions

Answer:

options c

Step-by-step explanation:

I hope it's helpful for you to

The perimeter of Figure 1 is four times a number minus three.
The perimeter of Figure 2 is two times the same number plus five. The perimeters
of Figure 1 and Figure 2 are the same.
a. Write an equation to find the number.
b. Solve the equation to find the number.
c. What is the perimeter of Figure 2? Explain.
d. Find the perimeter of Figure 1. Compare the perimeter of Figure
perimeter you found for Figure 2 to justify the value of k is correct.

Answers

The answers to all the subparts are:

(A) The number will be found using the equation 4x-3 = 2x +5.(B) We obtain a value of 4 after solving the equation.(C) Figure 2's perimeter will be equal to 13.

What is the circumference?The perimeter of a shape is the distance around its edge.

So, there have been two figures provided.

Figure 1's perimeter is four times a number minus three, whereas Figure 2's perimeter is two times the same number plus five.Based on the data provided, we must solve the given subparts of the question.

Let x be the number.

Figure 1's perimeter will be equal to 4x - 3.Figure 2's perimeter will be equal to 2x + 5.

(A) According to the question, the perimeters of both figures are equal.

As a result, the equation will be:

4x-3 = 2x+5

(B) By solving the equation:

4x -3 = 2x + 54x-2x = 3 + 52x = 8x = 4

As a result, the answer is 4.

(C) Figure 2 perimeter = 2x + 5

= (2 × 4) + 5= 13

As a result, the perimeter of figure 2 equals 13.

Therefore, the answers to all the subparts are:

(A) The number will be found using the equation 4x-3 = 2x +5.(B) We obtain a value of 4 after solving the equation.(C) Figure 2's perimeter will be equal to 13.

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matthew wants to estimate the mean number of sales from l'oreal makeup ads. he records the number of sales from 100 randomly selected l'oreal makeup ads. what is the population?

Answers

The population is the ads selected.

What is a population?

A population is a distinct group of individuals, animals, or objects that can be distinguished from one another for the purposes of data gathering and analysis in statistics and other branches of mathematics.

Now,

In the given number of sales from 100 randomly selected L'oreal Makeup ads,

The population is all the ads that are being selected for the sales, as it satisfies the definition of Population.

Hence, the population is the ads selected.

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26 Mr Hussain buys 13 kg of onions, 3½ kg of potatoes and
7 kg of cabbage. What total mass does he carry home?

Answers

Answer:

23.5kg

Step-by-step explanation:

the total mass of the things he bought is what we are asked to find.

13kg of onions+3.5kg of potatoes+7kg of cabbage is the total mass he carried home.

=23.5kg

7. The histogram represents the distribution of the number of seconds it took
for each of 50 students to find the answer to a trivia question using the
internet. Which interval contains the median? (Lesson 1-3)
22
24
20
18
16
14
12
10
8
6
4
5 10 15
Time (seconds)
(A) 0 to 5 seconds
B.) 5 to 10 seconds
10 to 15 seconds
20 25 30
15 to 20 seconds

Answers

Answer: B

Step-by-step explanation:

Which is traveling faster, the car or the train? be prepared to explain your reasoning.

Answers

This warm-up serves two purposes. It refreshes the concept of distance, rate, and time of travel from grade 6, preparing students to use scale drawings to solve speed-related problems.

It also allows students to estimate decimal calculations.

Students are likely to approach the question in a few different ways. As students work, notice students using each strategy.

By finding or estimating the speed of the train in miles per hour and comparing this to the speed of the car

By finding the distance the car travels in 4 hours and comparing it to the distance the train travels in 4 hours

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6. James and his

friend both started

a part-time job at

the Swimming Hole

earning $8.50 per

hour. James



worked 10 1/2

hours



his first week.

James agreed to

pay his friend $8.25

of his salary for

reimbursement of

gas. How much

money will James

have left after he

pays his friend for

gas?

Answers

The amount that James left has left after paying his friend 10% is; $80.325

How to Solve Algebra Word Problems?

We are told that James and his friend both earn $8.5 per hour. Thus;

Amount earned by James per hour = $8.5

Amount earned by the friend per hour = $8.5

Total time James works in his first week = 10 ¹/₂ hours

Now, James agreed to pay his friend 1/10 of his salary

Thus, amount that James earned is;

10.5 * 8.5 = $89.25

Thus, amount he has left after paying his friend 10% is;

(100% - 10%) * $89.25 = $80.325

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5/3 in decimal form
Algebra 1 question

Answers

Answer:

1.66...

Step-by-step explanation:

5/3=

5 * 1/3=

5 * 0.33...=1.66...   ==> with bar on top of the 6

Given that (-7, 2) is a point on a circle centered at (0, 2), which equation represents the circle?

Answers

If (-7,2) is a point on a circle centered at (0,2), the equation represents the circle is [tex]x^{2} +(y-2)^{2}=49[/tex]

Given,

Center of the circle = (0,2)

One point on the circle = (-7,2)

First we have to find the distance between the center and the given point

that is the radius of the circle.

[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} } \\d=\sqrt{(0+7)^{2}+(2-2)^{2} } \\d=\sqrt{49}[/tex]

d= 7  units

The standard equation of  the circle

[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]

Substitute the values in the equation

[tex](x-0)^{2}+(y-2)^{2}=7^{2} \\x^{2} +(y-2)^{2}=49[/tex]

Hence, If (-7,2) is a point on a circle centered at (0,2), the equation represents the circle is [tex]x^{2} +(y-2)^{2}=49[/tex]

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Answer:

Step-by-step explanation:

Calculate the value of y when the graph of y=-3x and x=-2 intercept

Answers

In a linear equation value of x and y  (x, y) = ( -2 , 6) when the graph of y=-3x and x=-2 intercept .

What in mathematics is a linear equation?

There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.

y= - 3x

Put x = -2 put in the equation

y = -3  * -2

y = 6

So, value of x and y  (x,y) = ( -2 , 6)

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Find the slope of the line that passes through the given points.

(-4,3) and (9,-2)

m=

Answers

Answer:

m=-5/13

Step-by-step explanation:

(-4,3) and (9,-2)

y2-y1/x2-x1

-2-3/9+4

-5/13

Hope this helps!

Please mark as brainliest if correct!

a tiny but horrible alien is standing at the top of the empire state building (which is 443443443 meters tall) and threatening to destroy the city of new york! a men in black agent is standing at ground level, 181818 meters across the street, aiming his laser gun at the alien. at what angle, in degrees, should the agent shoot his laser gun?

Answers

The angle for shooting laser gun should be 89.98°.

The vertical height where a tiny but horrible alien is standing is given as 443443443 meters. The horizontal distance of a men in black agent from building is given in the question as 181818 meters. So, let us assume the angle formed to be theta (θ).

Writing the formula for tan theta, that relates the given height and distance

Now, tan θ = vertical height ÷ horizontal distance

Keep the values in above mentioned equation of theta to find the angle.

tan θ = [tex]\frac{443443443}{181818}[/tex]

Performing division to find the tan theta and subsequently calculate the angle

tan θ = 2438.94

θ = tan⁻¹ 2438.94

Calculating tan inverse to find the value of theta

θ = 89.98°

Therefore, the  angle for shooting laser gun by a men in black agent  should be 89.98°.

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I need help on number 4

Answers

Answers:  Bimodal and Symmetric

Reason:

There are two mountain peaks, which show the two modes (at 0.27 and 0.31). Therefore, this data set is bimodal.

The data set is also symmetric because of the mirror line at 0.29; stuff to the left of 0.29 can be reflected over the mirror line to get the stuff on the right side.

We can rule out choice A since the curve doesn't represent a normal distribution. A normal distribution has exactly one mode only.

Choice C is ruled out because a skewed distribution isn't symmetric, and vice versa.

The data set isn't uniform since all stacks of points aren't the same height. This rules out choice E.

PLEASE HELP.. Sharlene purchased a new truck, whose value over time depreciates. Sharlene's truck depreciates according to the function y = 46,638(0.78)x, where x represents the number of months since the truck was purchased. What is the range of the exponential function y based on its equation and the context of the problem?
A. y ≥ 0
B. y < 46638
C. 0 < y ≤ 46638
D. ℝ

Answers

Using it's concept, the range of the given exponential function is:

C. 0 < y ≤ 46638.

What is the range of a function?

The range of a function is the set that contains all possible output values for the function.

In this problem, the function is:

y = 46,638(0.78)^x.

It is an exponential function with initial value 46,638 and rate of change 0.78. Exponential functions that are not shifted down, such as this one, are never negative nor zero, hence the range also has the restriction y > 0, and is given by:

C. 0 < y ≤ 46638.

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-6/25 divided by 5 2/5 answer has to be a fraction and needed in simplest form

Answers

Answer:

-2/45

Step-by-step explanation:

-2/45 or 1/45 because I divided by 2 tell me if this makes sense English isn’t my first language

orthogonality on a circle suppose that ab is the diameter of a circle with center o and that c is a point on one of the two arcs joining a and b. show that ca⇀ and cb⇀ are orthogonal.

Answers

It is proved that ca⇀ and cb⇀ are orthogonal .

Let AO = - u vector , OB = u vector and OC = α vector .

According to question ,

u * u = v * v = r ^ 2 and

AC vector = AO vector + OC vector = u + v

BC vector = BO vector + OC vector v - u ,

Applying dot - product ,

( AC vector ) . ( BC vector ) = ( v + u ) . ( v - u )

                                            = ( v . v ) - ( u . u )

                                          = ( r ^ 2 ) - ( r ^ 2 )

                                           = 0

Hence , AC and BC are orthogonal .

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Evaluate 1+(-2/3)-(-m) where m =9/2

Answers

Answer:

Step-by-step explanation:

1+(-2/3)-(-9/2)\

1-2/3+9/2

29/6

kat is painting the edge of a triangular stage prop with reflective orange paint. the lengths of the edges of the triangle are (3x – 4) feet, (x2 – 1) feet, and (2x2 – 15) feet. what is the perimeter of the triangle if x

Answers

The perimeter of the triangle is 40 feet .

Kat is painting the edge of a triangular stage prop with reflective orange paint. the lengths of the edges of the triangle are (3x – 4) feet, (x2 – 1) feet, and (2x2 – 15) and x = 4

Now , According to the question:

Let the sides of triangle be a , b , c

a = 3x -4

b = x^2 -1

c = 2x^2 - 15

x = 4

Substitute the value of x in a, b , c

a = 3 × 4 -4 = 8 feet

b = 4 × 4 -1 = 15 feet

c = 2× 4× 4 - 15 = 17 feet

The perimeter of the triangle is sum of all sides

then, a + b + c

= 17 + 15 + 8 = 40 feet

Hence, The perimeter of the triangle is 40 feet .

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A right-angled triangle and a parallelogram are shown b
13 cm
h
6 cm
The area of the parallelogram is 4 times the area of the
The perpendicular height of the parallelogram is hcm.
Find the value of h.

Answers

13

A= 1/2 x6 x 13 = 3 x 13 =39 square
Area of the parallelogram is
39=156cm square
156 divided by 12
H=13

The height h will be equal to 13 cm for the parallelogram.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the parallelogram in a two-dimensional plane is called the area of the parallelogram.

Given that a right-angled triangle and a parallelogram are shown b

13 cm and 6 cm. The area of the parallelogram is 4 times the area of the right angle.

The height h will be calculated as,

A= 1/2 x6 x 13 = 3 x 13 =39 square

Area of the parallelogram is,

39=156cm square

156 divided by 12

h=13 cm

Therefore, the height h will be equal to 13 cm for the parallelogram.

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Simplify the following numerical expressions. |-7| - 7 = 2|-7| = (-7)2 = -72 = -7 -|-7| =

Answers

the answer of all the 5 expressions is given as : 0, 14, 49, -49, -14 respectively.

What is mathematic expression?

A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Here the given expression are :

1)  |-7| - 7 :

now, here considering the modulus value of -7 as 7 that is positive only :

 |-7| - 7 = 7-7 = 0

2) 2|-7| = 2x 7

   2|-7| = 14

3) (-7)² = -7 x -7 = 49

4) -7² = -(7 x 7) = -49

5) -7 -|-7| = -7 - 7 = -14

it should be noted that we have considered only positive value of modulus function only.

Therefore, the answer of all the 5 expressions is given above.

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Tulong bukas na deadlinee plss​

Answers

Answer:

I don't know it like off

HELP MEEE PLEASEEEEEEEE

Answers

Answer:

the answer is blank, don't type anything in just f a I l

Joyce buys a bus pass for the month of March for $32.55. How much does the bus pass cost per day?

Answers

Answer: $1.05

Step-by-step explanation:

March has 31 days

Hence,

[tex]\displaystyle\\32.55:31=\\\\32\frac{55}{100}*\frac{1}{31} =\\\\32\frac{11}{20} *\frac{1}{31} =\\\\\frac{(32)(20)+11}{(20)(31)} =\\\\\frac{640+11}{620} =\\\\\frac{651}{620}=[/tex]

$1.05

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