How many different 10-letter arrangements are possible using the letters in the word AUTOMOBILE?

Answers

Answer 1

Answer:

1,814,400

Step-by-step explanation:

the formula would be: nPr / x_1 ! x_2!....

since there are 2 O's and it is a 10-LETTER ARRANGEMENT, the equation would now be:

10P10 / 2!

10P10 would simplify down to 10! so you would have :

10! / 2!

if you simplify this above: you would get 1,814,400


Related Questions

Ms. Hall withdrew $20 from her checking account twice a week. Her total withdrawal amount when she last checked was -$220. How many weeks has she been doing this for?

Answers

Answer: five and a half weeks.

Step-by-step explanation: 20 times 2 (the twice a week deposit) = 40. 220 (the negative checking) divided by 40 (the deposits each week) equals 5.5

Which expression is equivalent to -51 - (-60)?
Choose 1 answer:
А
-60 +(-51)
В.
-51 +60
51 - 60
60 + 51
2 of 4

Answers

I believe the answer is -51+60 because it equals -9. And -51-(-60) is 9.

The 7 times the sum of a
number and 6 IS 63

Answers

Answer:

Missing number = 3

Step-by-step explanation:

Let [tex]x[/tex] be the missing number. We have the following:

[tex]7\cdot (6+x)=63,\\6+x=9,\\x=\boxed{3}[/tex]

y=5x-1 as a graph (slopes)

Answers

Answer:

linked the graph!

Step-by-step explanation:

Answer:

Using the slope-intercept form, the slope is −5

y=0,-1

Step-by-step explanation:

Find the area of the shaded region to the nearest tenth

Answers

Answer:

B.   A = 119.1 in.²

Step-by-step explanation:

A = area of trapezoid - area of circle

A = ½(b1 + b2)h - πr²

A = [½(27 + 12)(14) - 3.14159(7²)] in.²

A = 119.1 in.²

Translate the word phrase into a math expression.
15 fewer than the product of 4 and a number.

ples look at pic to know the options :)

Answers

Answer:

15 - 4x

Hope this helps :)

For which of the following is x=-5 a solution? Select all that apply.
A) x+10=-5
B) -x^2+50=25
C) |2x|=10
D) x<0
E) 2x<10

Answers

Answer:

B

D

E

[tex]b. - ( - 5)^{2} + 50 = 25 \\ \\ d. \: - 5 < 0 \\ \\ e. \: 2( - 5) < 10[/tex]

Answer:

B and C

Step-by-step explanation:

Those 2 are the only ones that equal 5,-5

Write an equation of the circle with center (3,-2) and radius 11.

Answers

let h= 3, k=-2

radius (r) = 11 ,then

(x-h)^2 + ( y-k)^2 = r^2

(x-3)^2 + ( y+2)^2 = 11^2

x^2 -6x +9 + y^2 +4y +4 = 121

x^2 + y^2 - 6x +4y -108 = 0 is the required eq

D 75.4 cm2
24. What is the surface area of the given sphere?
12 cm
A 48 cm2
B 1441 cm
C 5767 cm
D 23041 cm2

Answers

The answer is b bruddaaaaaaaa

How many times can you fill a 250ml cup from a 4 litre jar?​

Answers

sorry i’m unsure, maybe try a different solution

Find the 8th term in the
sequence
-1/2,-1, -2, -4,...
Hint: Write a formula to help you.
1st term . Common Ratio desired term – 1)

Answers

Answer:

-64

Step-by-step explanation:

By looking at the numbers, we can identify that this is a geometric sequence and the ratio would be 2. The formula to find the nth term in a geometric series is:

[tex]t *r^{n-1}[/tex]

where t is the first term and r is the ratio. We can substitute in the information we know:

[tex]-\frac{1}{2} *2^{n-1}[/tex]

We are looking for the eighth term, so we substitute 8 where n is:

[tex]-\frac{1}{2}*2^{8-1}[/tex]

We can simplify:

[tex]-\frac{1}{2}*2^7[/tex]

[tex]-2^6[/tex]

[tex]-64[/tex]

List two pairs of angles in square CDFG that are complementary

Answers

Answer:

1st pair:  ∠C + ∠M

2nd pair: ∠G + ∠M

Step-by-step explanation:

How many more barrels of gasoline then diesel were produced last year

Answers

Answer:

3,000,000

Step-by-step explanation:

Challenge A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the
coins, 8% are pennies and 42% are dimes. There are 5 more nickels than pennies. How much money
does the bag contain?
The bag contains $

Answers

The bag contains 28 dollars

johns rent is $1,355. what is his standardized z-score

Answers

Answer:

His standardized z-score is [tex]Z = \frac{1355 - \mu}{\sigma}[/tex], in which [tex]\mu[/tex] is the mean price of rents and [tex]\sigma[/tex] is the standard deviation for price of rents.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Johns rent is $1,355.

This means that [tex]X = 1355[/tex]

What is his standardized z-score

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1355 - \mu}{\sigma}[/tex]

His standardized z-score is [tex]Z = \frac{1355 - \mu}{\sigma}[/tex], in which [tex]\mu[/tex] is the mean price of rents and [tex]\sigma[/tex] is the standard deviation for price of rents.

Evaluate 3y^2-5y-6 when y =2​

Answers

Answer:

the answer would be -4

Step-by-step explanation:

just replace the variable y with two in the expression and solve

3(2)^2-5*2-6

1. Priya has a recipe for banana bread. She uses 8 cups of flour to make 3 loaves of banana bread
Complete the table for this relationship. (2 points)
f
b
1
8
3

Answers

Answer:

A picture of this would really help thx so much! (Please comment when u have done so that i can be notified

Step-by-step explanation:

1. AIDS is caused by a virus called HIV. True or false

Answers

Answer:

[tex]\huge\boxed{True\hookleftarrow}[/tex]

⎆ AIDS (Acquired Immunodeficiency Syndrome) is caused by a virus named HIV (Human Immunodeficiency Virus). This disease can be transmitted through :-1) sexual contact2) transfer of blood etc.

Please help me with this Math question.
Each win is worth 3 points.
Each draw is worth 1 point.
Each lose is worth 0 points.
Is 33 correct answer?

Answers

Answer:

33 is definitely the correct answer

The time married men with children spend on child care averages 6.4 hours per week (Time, March 12, 2012). You belong to a professional group on family practices that would like to do its own study to determine if the time married men in your area spend on child care per week differs from the reported mean of 6.4 hours per week. A sample of 40 married couples will be used with the data collected showing the hours per week the husband spends on child care. The sample data is contained in the Excel Online file below. Construct a spreadsheet to answer the following questions.

Answers

Complete question :

The time married men with children spend on child care averages 6.4 hours per week (Time, March 12, 2012). You belong to a professional group on family practices that would like to do its own study to determine if the time married men in your area spend on child care per week differs from the reported mean of 6.4 hours per week. A sample of 40 married couples are surveyed to collect the hours per week the husband spends on child care. The sample mean is 7.0 hours per week, and the sample standard deviation is 2.4276 hours per week. Use Excel to answer the following questions. a. What are the hypotheses if your group would like to determine if the population mean number of hours married men are spending in child care differs from the mean reported by Time in your area? b. What is the test statistics of the population mean? c. Using a .05 level of significance, what are the critical values? d. What is your conclusion?

Answer:

H0 : μ = 6.4

H1 : μ ≠ 6.4

Test statistic = - 1.563

Critical value = ±2.023

Fail to reject the null ; there is no significant evidence to support the claim that mean number of hours spent differs

Step-by-step explanation:

H0 : μ = 6.4

H1 : μ ≠ 6.4

Test statistic, Z :

(Xbar - μ) / (s/√n)

(6.4 - 7) / (2.4276/√40)

-0.6 / 0.3838372

T= -1.563

α = 0.05 ; df = n - 1 = 40 - 1 = 39

Critical value(0.05, 39) = ±2.023

|T| > +Tcritical ; Reject the Null

Since |T| < +Tcritical ; then we fail to reject the Null, hence, we conclude that there is no significant evidence to support the claim that mean number of hours spent by married men in child care differs.

The radius of a sphere is 3 inches. Which represents the volume of the sphere? o 12pie cubic inches 36pie cubic inches O 64pie cubic inches 81pie cubic inches​

Answers

Answer:

36 pie cubic inches

Step-by-step explanation:

Use the formula: [tex]V = \frac{4}{3} \pi r^{3}[/tex]

Plug in the value for radius and solve:

[tex]V = \frac{4}{3} \pi 3^{3}[/tex]

Becuase of the nature of the answer options, you only have to solve to a certain point: [tex]V = 36 \pi[/tex]

Gail bought 7/8 pound of cheese and Jose bought 1/3 pound of cheese. How much more cheese did Gail buy than Jose?

Answers

Answer:

7/8 * 3 = 21/24

1/3 * 8 = 8/24

21-8 = 13

Gail bought 13/24 pound more than Jose

6. If radius is 18 am and an angle at center of circle
is 120 degrees, then the area of the sector is.......
A. 382.4 cm
B. 339.3 cm?
C. 350 cm2
D. 300 cm?

Answers

Answer:

Try A

Step-by-step explanation:

382.4cm

What is the product of x2 - 2x +3 and x+1?

Answers

The answer would be 3, 2-2+3, I’m pretty sure.

Un aserradero adquiere maquinaria y equipo para el corte de madera, que va perdiendo valor conforme transcurren los años, hasta que su valor contable es cero, como indica la gráfica de la función D(x)=(-x^3+2x^2+20x+20)/(x^2+4x+4) que modela esta depreciación en el eje y cada unidad son 20 000 pesos y en el eje x cada unidad es de 3 años.
a) ¿Cuál es el valor inicial del equipo y herramienta? ¿cuánto se ha depreciado al cabo de 12 años?

b) ¿existe un modelo lineal que aproxime los mismos valores que la función D(x)?

c) ¿En cuánto difieren los valores de ambas funciones al cabo de 9 años?

Answers

Answer:

-1 5

Step-by-step explanation:

Jenny cut an apple into eight equal slices. She gave
of the apple to Kendall.
Which shows how much of the apple Jenny has left?

Answers

Answer:

what did percent or fraction did she give Kendall?

Step-by-step explanation:

one number is 8 times a first number. a third number is 100 more than the first number. if the sum of the three numbers is 480, find the numbers

Answers

Answer:

Step-by-step explanation:

Let the first number = x

Let the second number = 8x

Let the third number = x + 100

x + 8x + x + 100 = 480              Combine like terms

10x + 100 = 480                        Subtract 100

      - 100    -100

10x = 380                                   Divide by 10

x = 380/10

x = 38

First number = 38

Second number = 8*38 = 304

The third number = 38 + 100 = 138

2. The perimeter of a rectangular board is 24 cm. If its length is 9 cm and its width is one
third of its length, what is its width?

please answer this i follow and like and rate​

Answers

TktJe viens de Lille
The width would be 3

A triangle has base 4 cm
and height 9 cm, What is its
area​

Answers

Answer = 18
A= hb/2 = 9·4/2 = 18

Answer:

18 cm^2

Step-by-step explanation:

Formula for area of triangle: bh/2

4x9=36

36/2=18

Write an exponential function in the form y=ab^xy=ab
x
that goes through points (0, 18)(0,18) and (2, 288)(2,288).

Answers

Answer:

[tex]y = 18*4^x[/tex]

Step-by-step explanation:

We want an exponential equation in the following format:

[tex]y = ab^x[/tex]

Point (0,18):

This means that when [tex]x = 0, y = 0[/tex]. So

[tex]y = ab^x[/tex]

[tex]18 = ab^0[/tex]

[tex]a = 18[/tex]

So

[tex]y = 18b^x[/tex]

Point (2,288):

This means that when [tex]x = 2, y = 288[/tex]. So

[tex]y = 18b^x[/tex]

[tex]18b^2 = 288[/tex]

[tex]b^2 = \frac{288}{18}[/tex]

[tex]b^2 = 16[/tex]

[tex]b = 4[/tex].

So

[tex]y = 18*4^x[/tex]

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