What is the total number of different 13-letter arrangements that can be formed using the letters in the word ENLIGHTENMENT?

Answers

Answer 1

Answer:

86486400

Step-by-step explanation:


Related Questions

NEED HELP ASAP - Which
represents the inverse of the function f(x) = 4x?
h(x) = x + 4
• h(x) =x-4
h(x) = =3/4x
O h(x) = 1/4

Answers

Answer:

O h(x)=1/4

Step-by-step explanation:

A submarine starts 15 meters above sea level and travels 95 meters below sea level. How far did the submarine travel? *

Answers

The height attained by the submarine in the sea will be 80 meters.

What is the height?

Height is a vertical distance travelled by any object. Here the submarine is going down in the sea from 15 meters to 95 meters below the sea.

So the height attained by the submarine will be:-

H= 95-15

H= 80 meters.

Therefore the height attained by the submarine in the sea will be 80 meters.

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Help me plsssssssssssss

Answers

Answer:

3/1/4

That's the expression represents Lena's speed in miles per hour

Which conditional probabilities are correct? check all that apply. p(d | f) = startfraction 6 over 34 endfraction p(e | d) = startfraction 7 over 25 endfraction p(d | e) = startfraction 7 over 25 endfraction p(f | e) = startfraction 8 over 18 endfraction p(e | f) = startfraction 13 over 21 endfraction

Answers

The conditional probabilities that are correct are P(D | F) =  6/34, P(E | D) = 7/25 and P(F | E) = 8/18

How to determine the true conditional probabilities ?

The conditional probability P(A|B) is calculated using:

P(A | B) = P(A and B)/P(B)

Using the above formula and the data in the complete question (see attachment), we have the following computations:

P(D | F) = 6/34

P(E | D) = 7/25

P(D | E) = 7/18

P(F | E) = 8/18

P(E | F) = 8/34

By comparing the above computations with the options, the conditional probabilities that are correct are P(D | F) =  6/34, P(E | D) = 7/25 and P(F | E) = 8/18

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Answer:

A, B, D

Step-by-step explanation:

yw :)

Please help me on this question I’m very confused I will give you brainless??

Answers

To solve this problem, we need to use the theorem which states that the sum of angles in a triangle is equal to 180 degrees. The value of m<FED is equal to 120 degrees. From the diagram given, m<CBD is complimentary with m<BED

Sum of Angles in a Triangle

The value of m<FED can be calculated by summing the entire entity and equating to 180 degrees.

Data;

m<FED = (16x - 8)m<EFD = 35m<EDF = 2x + 9

[tex]35+(16x-8)+(2x+9) = 180[/tex]

Reason: The sum of angles in a triangle is equal to 180 degrees.

But we would need to solve for the value of x.

[tex]35+(16x-8)+(2x+9) = 180\\35 + 16x - 8 + 2x + 9 = 180\\36+ 18x = 180\\180 - 36 = 18x\\18x = 144\\x = \frac{144}{18} \\x = 8[/tex]

Let's substitute the value of x into m<FED

[tex]m < FED = 16x - 8\\x = 8\\m < FED = 16(8) - 8 \\m < FED = 128 - 8\\m < FED = 120^0[/tex]

The value of m<FED is equal to 120 degrees.

From the diagram given, m<CBD is complimentary with m<BED

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Find any 2 irrational no. Between 0.1 and 0.12

Answers

0.10100100010000 and 0.110100100010000 are two irrational numbers between 0.1 and 0.12.

Step-by-step explanation:

Any two irrational Numbers between 0.1 and 0.12 will be those numbers which will be

=> greater than 0.1 and smaller than 0.12

And those numbers are = 0.10100100010000 and 0.110100100010000.

You can also choose any other numbers too.

___________________

Irrational Number :

Irrational numbers are non terminatingNon recurring / repeating

3.2 × 10^7
write in expanded form​

Answers

Answer:

32000000

Step-by-step explanation:

3.2 x 10 = 32

you will have 10^6 left

32 x 10^6 = 32000000

just add 6 zeroes

Answer:

32, 000, 000.

Step-by-step explanation:

3.2 x 10^7      <======= move the decimal 7 places to the right

32,000,000.

What is the circumference of the circle? (use 3.14 for pi)
(WORTH 30 POINTS)

Answers

Answer:

119.32

Step-by-step explanation:

[tex]A = 2 * 3.14 * 19 = 119.32[/tex]

I think the answer is 56.66m. Formula = pi r 3.14 * 19.= 56.99m

3) A customer in a bookstore is interested in eleven books on sale.
How many ways can she select three books to buy?

Answers

Answer:
33
Step-by-step explanation:
This is a simple probability question so you do 11x3 for example you have a 4 shirts and 4 shoes you can make 16 different outfits.

Suppose your​ friend's parents invest $ 10,000 in an account paying 5% compounded annually. What will the balance be after 8 ​years?

Answers

Answer:

A = $14,745.544

Step-by-step explanation:

The equation for compound interest is 

A = P (1+i)t 

A = final value

P = amount invested (principal) (10000)

i = interest rate, expressed as a decimal (.05)

t = number of years invested (8)

This formula assumes annual compounding.

Plugging in what we know.

A = 10000(1.05)^8

A = 10000 (1.47745544)

A = $14,745.544

look at the attachment and solve

Answers

The construction that is been demonstrated in the figure is The first mark for constructing a perpendicular bisector.

What is a perpendicular bisector?

A perpendicular bisector of a line segment is a line segment that is perpendicular to and passes through the middle of the line segment (left figure). A line segment's perpendicular bisector can be drawn using a compass by drawing circles centred at and with radius and connecting their two intersections.

The construction that is been demonstrated in the figure is The first mark for constructing a perpendicular bisector.

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The length and width of a rectangle are consecutive even integers. The perimeter is 92 meters. Find the length and width!

Answers

Answer:

w represents the width

w + 2 represents the length

 

2(w + w +2) = 76     formula for perimeter

w + w + 2 = 38        divide both sides by 2

2w + 2 = 38             combine like terms

2w = 36                    subtract 2 from both sides

w = 18                      divide both sides by 2

 

The Ferris wheel at the museum park has a height requirement of 48 inches your little sister is 45 inches tall how much taller does she need to go before she can ride the Ferris wheel

Answers

Answer:

3 inches

Step-by-step explanation:

48 - 45 = 3

Given that A, O & B lie on a straight line segment, evaluate obtuse ∠AOC.

The diagram is not drawn to scale.


∠AOC=

Answers

Answer:

AOC = 124°

Step-by-step explanation:

Angle on a straight line is 180°, therefore, the sum of the three angles shown is 180;

This can be written like so:

(3x + 94) + (x + 30) + (2x - 4) = 180

This equation can be solved to find x:

6x + 120 = 180

6x = 180 - 120

6x = 60

x = 10

AOC = 3(10) + 94

= 30 + 94

= 124

Answer:

angle AOC = 124

Step-by-step explanation:

3x + 94 + x + 30 + 2x - 4 = 180 ( ^'s on a STR line)

6x = 180 - 120

6x = 60

x = 10

sub x into 3x + 94

3(10) + 94 = 124

the diagram represents a rectangular garden of length 14 m and width 10 m
The flower bed is a triangle and the vegetable patch is a trapezium
the rest of the garden is lawn

Answers

Answer:

The area of the lawn is 68 [tex]m^2[/tex].

Step-by-step explanation:

Area of lawn = Area of garden - (Area of triangle + Area of trapezium)

Area of garden = length x width

                            = 14 x 10

                           = 140 [tex]m^2[/tex]

Area of triangle = [tex]\frac{1}{2}[/tex] x base x height

                         = [tex]\frac{1}{2}[/tex] x 3 x 8

                         = 12 [tex]m^2[/tex]

Area of trapezium = [tex]\frac{1}{2}[/tex] (a + b) h

                             = [tex]\frac{1}{2}[/tex](5 + 7) 10

                              = 60 [tex]m^2[/tex]

So that;

Area of lawn = 140 - (12 + 60)

                     = 140 - 72

                     = 68

The area of the lawn is 68 [tex]m^2[/tex].

30 POINTS. HELP!
Which of the three types of discontinuities (removable, jump, and infinite), would be represented by a limit that can only be found by simplifying a rational expression or multiplying by a conjugate? Why?

Answers

Answer:

jump equation

bu multiplying by a conjugate

how do I solve this?​

Answers

The answer is B because the most common number is 70’s and the line is right there
the correct answer is : b

Maya has savings of $40,000. She invests in a bond mutual fund that pays 5% interest each year. Ignoring compounding, what are Maya's total savings after 20 years?

Answers

Answer:50,000 x 0.04 x 20=40,000

The total saving after 20 years 50,000+40,000=90,000$

Help. Please and thanks

Answers

Step-by-step explanation:

24.

AC = 12 = cos(angle) × AB = cos(angle) × 13

imagine a circle with center in A and radius 13.

that is why we can say AC = cos(angle) × radius, and BC = sin(angle) × radius.

cos(angle) = 12/13 = 0.923076923...

angle = 22.61986495...°

so, B is the right answer.

25.

we have a right-angled triangle.

from the point in the ground, where the ladder starts, to the point on the wall, where the ladder ends, and the point on the ground right under the wall point.

at this ground point there is the right angle.

at the ladder ground point we have 70°.

so, the angle at ladder/wall point is

180 - 90 - 70 = 20°.

remember, the sum of all angles in a triangle is always 180°.

the ladder itself (20 ft) is the Hypotenuse (the baseline opposite of the 90° angle).

the height of the ladder/wall point is one leg (and what we need to calculate), and the ground distance from the ladder/ground point to the point right under the ladder/wall point is the second leg.

we can use the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

with the sides being always opposite of the associated angles.

so, we have

20/sin(90) = 20/1 = 20 = height/sin(70)

height = 20×sin(70) = 18.79385242... ft

so, D is the right answer.

Tom would like to stock groceries for his shop. The wholesaler where he buys his stock sells sugar in packets of 10 per carton, flour in packets of 6 per carton and rice in packets of 5 per carton. How many cartons of each item should Tom buy so that there are equal number of packets of sugar, flour and rice. ​

Answers

Answer: Sugar = 3 cartons, Flour = 5 cartons, Rice = 6 cartons

Step-by-step explanation:

Sugar = 10 packets/carton

Flour = 6 packets/carton

Rice = 5 packets/carton

10, 20 30... sugar

6, 12, 18, 24, 30... flour

5, 10, 15, 20, 25, 30... rice

30/10 = 3 cartons of sugar

30/6 = 5 cartons of flour

30/5 = 6 cartons of rice

For all the number of packets to be equal.

sugar cartons, 3
flour cartons, 5
rice cartons, 6

✓ Be sure your photo is not blurry
7x-3(5x+2)-6(7+2x)

Answers

Answer:

-20x-48

Step-by-step explanation:

7x-(15x +6)-6(7+2x)

7x-(15x+6)-(42+12x)

7x-15x-6-42-12x

(7x -15x-12x)+(-6-42)

=-20x-48

Answer:

-20x - 48

Step-by-step explanation:

7x - 3(5x  +2) - 6*(7 + 2x) = 7x  + (-3)*5x + (-3)*2  + (-6)*7 + (-6)*2x

                                        = 7x - 15x - 6 - 42 - 12x

                                        = 7x - 15x - 12x  - 6 -42  {Combine like terms}

                                        =  -20x  - 48

On a number line 1.77 would be located where?

Answers

Step-by-step explanation:

1.77 would be closer to 2

What is the full number (all 0's and what not) of 4.385e+30

Answers

Answer:

4 385 000 000 000 000 000 000 000 000 000.

Step-by-step explanation:

Wellllll.....e +30 means  10^30

Is 2/3 < 3/4 , or is 3/4 < 2/3 ? Explain how you know.

Answers

Answer:2/3 < 3/4

Step-by-step explanation: 3/4 is greater than 2/3.

You wish to test the following claim (
H
a
) at a significance level of
α
=
0.002
.


H
o
:
μ
=
63.5


H
a
:
μ
<
63.5


You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size
n
=
62
with mean
M
=
56.3
and a standard deviation of
S
D
=
13.2
.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =


What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

Answers

Using the t-distribution, it is found that the desired measures are given as follows:

The test statistic is t = -4.29.The p-value is of 0.

What are the hypotheses tested?

At the null hypotheses, it is tested if the mean is of 63.5, that is:

[tex]H_0: \mu = 63.5[/tex]

At the alternative hypotheses, it is tested if the mean is less than 63.5, that is:

[tex]H_1: \mu < 63.5[/tex]

What is the test statistic?

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.

The values of the parameters are given as follows:

[tex]\overline{x} = 56.3, \mu = 63.5, s = 13.2, n = 62[/tex]

Hence, the test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{56.3 - 63.5}{\frac{13.2}{\sqrt{62}}}[/tex]

t = -4.29.

What is the p-value?

We have a left-tailed test, as we are testing if the mean is less than a value, with 62 - 1 = 61 df and t = -4.29. Hence, using a t-distribution calculator, the p-value is of 0.

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can anyone help me identify the center and radius on these 3 pls , brainly

Answers

a) center is (0,0)

Radius = r^2 = 225 => r = 15

b)center is (0,0)

Radius r^2= 178

=> r =13.34

C) center is (0,0)

Radius is r^2 = 49 => r = 7

Hope it helps .

Answer:

Note that #1 starts at #3 and #3 on this list ends at #5 on your page.

Center, 0 | Radius, 15Center, 0 | Radius, [tex]\sqrt{178}[/tex]Center, 0 | Radius, 7

The Dow Jones Travel Index reported what business travelers pay for hotel rooms per night in major U.S. cities (The Wall Street Journal, January 16, 2004). The average hotel room rates for 20 cities are as follows: Atlanta $163 Minneapolis $125 Boston 177 New Orleans 167 Chicago 166 New York 245 Cleveland 126 Orlando 146 Dallas 123 Phoenix 139 Denver 120 Pittsburgh 134 Detroit 144 San Francisco 167 Houston 173 Seattle 162 Los Angeles 160 St. Louis 145 Miami 192 Washington, D.C. 207

Answers

The mean hotel room rate based on the reported room rates paid by business travelers in 2003 by the Dow Jones Travel Index is $159.05.

What is the mean?

The mean is the average of a set of data or numbers.

It is a typical value that averagely represents the dataset.

The mean can be computed by dividing the total by the number of data values.

Data and Calculations:

Atlanta                     $163

Minneapolis            $125

Boston                       177

New Orleans            167

Chicago                    166

New York                245

Cleveland                126

Orlando                    146

Dallas                       123

Phoenix                   139

Denver                    120

Pittsburgh               134

Detroit                     144

San Francisco         167

Houston                  173

Seattle                    162

Los Angeles           160

St. Louis                 145

Miami                     192

Washington, D.C. 207

Total = $3,181

Mean = $159.05 ($3,181/20)

Question Completion:

What is the mean hotel room rate?

Thus, the mean hotel room rate based on the reported room rates paid by business travelers in 2003 by the Dow Jones Travel Index is $159.05.

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Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

The answer to writing this graph in fully simplified slope-intercwpt form is y = 1/5x - 7.

If f(x) = 3x+2, find f(f¹(14))

Answers

Answer:

f(f¹(14)) = 134

Step-by-step explanation:

Given :

f(x) = 3x + 2

Find the value of f(14) :

f(14) = 3(14) + 2f(14) = 42 + 2f(14) = 44

Therefore, f(f¹(14)) = f(44).

Solving :

f(44) = 3(44) + 2f(44) = 132 + 2f(f¹(14)) = 134

share the ration .....

Answers

Answer:

Tom: £166

Ben: £581

Step-by-step explanation:

     In the ratio 2 : 7 there are 9 portions total (2 + 7 = 9).

£747 / 9 = £83

     For Tom:

£83 * 2 = £166

     For Ben:

£83 * 7 = £581

Checking our work:

      Since the decimals are the same, this means the ratios are equal.

2/7 = 0.2857

166/581 = 0.2857

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