You pick a word at random from the set of all words of length six of letters of the alphabet with no repeated letters. What is the probability that the word begins and ends with a vowel

Answers

Answer 1

Answer: [tex]\dfrac{2}{65}[/tex]

Step-by-step explanation:

Given

There is a six letter word with no repeated letters

Number of ways of arranging 6 letters out of 26 letters is [tex]^{26}P_6[/tex]

For the 6 letter word with vowels in the beginning and the end can be formed by selecting 2 vowels out of 5 available.

First place has 5 choices to fill and the last place left with 4 choices to fill

Remaining 4 places can be filled by [tex]^{24}P_4[/tex] ways

So, the required probability is given by

[tex]\Rightarrow \dfrac{5\times ^{24}P_4\times 4}{^{26}P_6}=\dfrac{2}{65}[/tex]


Related Questions

Which triangle isn't similar to QRS?

Answers

Answer:

∆ RPQ

Step-by-step explanation:

__________________

It would be nice if somebody could help me! (I'm trying to give out points!)

Answers

Answer:

chupapi muyanyo

Step-by-step explanation:

Answer:

3) A) 8 tomatoes are in Priya's garden

B) 18 since they are missing 2 tomatoes

4) I cant really answer with the information given.

Step-by-step explanation:

I need more information for number 4

The mean of five numbers in a set is 12. If the set contains a total of six numbers and the mean of all six is
14, which of the following is the sixth number?
(1) 24
(3) 32
(2) 13
(4) 18

Answers

Answer:   24  (choice 1)

=========================================================

Explanation:

The process of finding the arithmetic mean involves two steps

add up all the numbersdivide by n, which is the number of values in the set

The first bit of info your teacher gave you is "the mean of five numbers in a set is 12". While we don't know the actual individual values themselves, we know that they must add to some variable y. Dividing y over n gets us the mean

y/n = mean

y/5 = 12

y = 5*12

y = 60

The five values add to 60.

----------

The next bit of info is that "the mean of all six is 14". That allows us to say:

(sum of all 6 values)/6 = mean

(sum of all 6 values)/6 = 14

( (sum of 5 values) + (6th value) )/6 = 14

(y + x)/6 = 14

(60 + x)/6 = 14

where x is the 6th number we want to find.

-----------

Solve for x

(60 + x)/6 = 14

60+x = 6*14

60+x = 84

x = 84-60

x = 24 so choice (1) is the answer

Chapter 12
ees

An isosceles triangular prism has a triangular end with a base of 14 inches, an altitude of 24 inches, and a side length 25 inches The height of the prism is
10 inches Calculate the Lateral and Total Surface areas of the prism?

Answers

Answer: 11176ft.

Step-by-step explanation:

What is the MAD? 4, 32, 33, 45, 67​

Answers

Answer:

No solution can be determined from the information provided.

Step-by-step explanation:

If John starts with $85 and is spending $5 per week and Ashley has $35 and is saving $7 per week when will Ashley have more than John

Answers

Answer:

85-5=80 week 1

75= week 2

70=week 3

65=week 4

60=week 5

and so on.

Then Ashley

35+7=42 week 1

49=week 2

56=week 3

63= week 4

70=week 5

Step-by-step explanation:

A triangle on the coordinate plane has vertices (-8,3), (3,9), and (9,3). What is the area, in square units, of the
triangle?
Please help

Answers

Answer:

51 sq units

Step-by-step explanation:

after plotting the vertices, the height of the triangle is 6 and the base is 17

A = 1/2(6)(17)

A = 51 sq units

Pls help!!! Will name Brainliest
Solve for x:

Answers

Answer:

I think it’s 10

2.5 is your answer lol

I need this answer quick and try get it correct
Calculate 38% of 40

Answers

Answer:

15.2

Step-by-step explanation:

Answer:

the answer is 15.2

Step-by-step explanation:

you j multiple them

A manufacturer of liquid laundry detergent has a .02 probability that the detergent bottles will be improperly filled. (Either too much or too little detergent.) There is a .03 probability that the label on the bottle will not be affixed properly. If the events of bottle fill and affixing the label are independent, then the probability of a bottle being filled improperly and having an improperly affixed label is

Answers

Answer:

0.0006

Step-by-step explanation:

The probability is

Given that

A denotes the bottle being filled improperly

And,  

B denotes the label on the bottle will not be affixed properly

So,

P(A) = 0.02 ,

ANd, P(B) = 0.03

Also that A and B are independent events.

So, by property of independence is

P(A \cap B) = P(A and B) = P(A) P(B)

= P(A and B) =P(A)P(B)

= 0.02 × 0.03

= 0.0006

What is the slope of the line in the graph?

Options:
-4/3
-3/4
3/4
4/3

Answers

Answer:

Option 2: -¾

Step-by-step explanation:

First identify 2 points on the line.

(0, 1), (4, -2)

Substitute the coordinates into the gradient formula below:

[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]

☆ (x₁, y₁) is the 1st coordinate and (x₂, y₂) is the 2nd coordinate.

Slope of the line

[tex] = \frac{1 - ( - 2)}{0 - 4} [/tex]

[tex] = \frac{1 + 2}{ - 4} [/tex]

[tex] = - \frac{3}{4} [/tex]

☆ Since the line is sloping downwards looking from the left to right, the line must have a negative slope.

Find the lateral area for the cylinder with the given measurement.
r= 4, h=5
20 pi square units
40 pi square units
80 pi square units

Answers

Answer:

Lateral area of a cylinder =2πrh

=2π x 4x 5

=40π square units

OPTION B

A napkin is 18 inches long. A tablecloth is 6 times as long as the napkin.
How much longer, in inches, is the tablecloth than the napkin?


If d is the difference in the length of the tablecloth and the napkin,
which pairs of equations can be used to solve the problem? Select all that apply.
A. 6 × 18 = 108 and d – 18 = 108
B. 6 × 18 = 108 and 108 – 18 = d
C. 6 × 18 = 108 and d + 18 = 108
D. 6 × 18 = 108 and d + 108 = 18
E. 6 × 18 = 108 and 18 × 108 = d

Answers

Answer:

The answer is B. 6×18= 108 and 108-18= d

(D = 90) the difference between the length of the tablecloth and napkin.

Please help! This is due today!

Answers

Probably the last one
Use the equation for the area of a triangle 1/2(bxh)
Then multiply that number by 2 to get the area of the complete shape.

write the equation for the circle graphed below.

Answers

Answer:

[tex](x -1)^2 + (y+1)^2 = 0.25[/tex]

Step-by-step explanation:

Given

The attached graph

Required

The equation of the circle

The equation of a circle is:

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

Where

[tex](h,k) \to center[/tex]

[tex]r \to radius[/tex]

From the attached graph,

[tex](h,k) = (1,-1)[/tex]

[tex]r = 0.5[/tex]

So, we have:

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

[tex](x -1)^2 + (y--1)^2 = 0.5^2[/tex]

[tex](x -1)^2 + (y+1)^2 = 0.5^2[/tex]

[tex](x -1)^2 + (y+1)^2 = 0.25[/tex]

2(x + _) = 2x + 10 Using the distributive property, what number would go in the blank in order for the given statement to be correct? ​

Answers

Answer:

10

Step-by-step explanation:

2

Answer:

2(x + 5) = 2x + 10

Step-by-step explanation:

2(x + A) = 2x + 10

2x + 2A = 2x + 10

Equating constant terms on both sides :

2A = 10

A = 5

Therefore , 2(x + 5) = 2x + 10

PLEASE HELP ME !

Lance baked brownies for a school bake sale. The shaded figures stand for the brownies sold.

Part A What mixed number do the shaded portions stand for? Use what you know
about mixed numbers to explain why your answer is correct.

Answers

The mixed number would be 4 1/3, this is because of the 5 trays of brownies, 4 entire ones were sold which means only a fraction of the 5 one was sold. (4 out of 12) 4/12 could be simplified by dividing the top and bottom with 4 which leaves us with 4 1/3

solve these plz
10 points for these plz solve

Answers

2.180
3.360
4.12
That’s it hopefully you got them right

Which pair of expressions below are equivalent (the same)?

a) 4(3b) and 7b
b) 4b + 5b and 20b
c)-5(2b + 2) and 20b
d) 3b + b + 2b and 6b

Please help it’s really important

Answers

D is equivalent expression.

PLEASEEEEEE HELLPPPPP MEEEEE

Answers

Answer:

It's A

Step-by-step explanation:

The r coordinate of x is positive 4 which would be the frist number.

The r coordinate of y is positive 1 which would be the second number.

The school band is ordering customized stickers to support the band. The cost for 100 stickers is $110.00 and the cost for 200 stickers is $185.00 Write an equation to show the total cost of the stickers as a function of the number of stickers ordered.

Answers

Answer:

y = 0.75x + 35

Step-by-step explanation:

y = 0.75x + 35

where: y for cost in $, x for number of stickers ordered

Length is 5 units and width is 8 units . What is the perimeter

Answers

Answer:

26 units all around

Step-by-step explanation:

when finding the perimeter use the formula

2(length) + 2(width)

in this case

length is 8

width is 5

5(2) = 10

8(2) = 16

10 + 16 = 26

Ferris wheel has a 108-foot diameter and the center of the Ferris wheel is 58 feet above the ground. The Ferris wheel rotates in the CCW direction at a constant angular speed of 6 radians per minute. Chance boards the Ferris wheel at the 3-o'clock position and rides the Ferris wheel for many rotations. Let t represent the number of minutes since the ride started.

Required:
a. Write an expression (in terms of t) to represent the number of radians Justin has swept out from the 3-0'clock position since the ride started.
b. How long does it take for Justin to complete one full revolution (rotation)?
c. c. Write an expression (in terms of t) to represent Justin's height above the center of the Ferris wheel (in feet)

Answers

Answer:

a. θ = 6t

b. 1.048 minutes

c. y = 54sin(6t)

Step-by-step explanation:

diameter d = 108 foot

distance above the ground = 58 feet

a.) expression to represent number of radians

radian = 6 rad/min

θ = wt

w = 6

θ = 6t

t is in minutes

b.) we are to find the time period for one full revolution

time period = 2π/6

π = 22/7

[tex]T=\frac{2(22/7)}{6}[/tex]

= 1.048 minutes

c. Expression showing Justins height above the ground

y = rsinθ -----(1)

θ = wt = 6t

we find the radius r

diameter = 2 * radius

108 = 2r

r = 108/2

= 54 foot

we put these values in the equation 1 above

y = 54sin(6t)

Can someone help me please

Answers

A bisected things is spilt in two so that means both sides of the figure have the same angle measure from this a straight line is 180 degrees so now just multiply the given information and subtract, if

If 4% of a number is 8, find 1% of that number.

Answers

Answer:

8 is 4% of 200, 1% of 200 is 2

One centimeter on the map represents 10 meters on the ground?

Answers

Ok so what help do I need

The Caudell family went out to dinner. If
their dinner bill came to $52.50 and they
paid $61.95, what percent of a tip did they
leave their waiter?

A. 18%
B. 15%
C. 20%
D. 16.5%

Answers

they left a 16.5% tip

Someone, please help I will crown brainliest

Answers

Answer:

6

Step-by-step explanation:

Y=-x+7

Y=-1+7

Y=6

The answer is think is 6

change this in 12 hour clock. 19 15

Answers

Answer:

th answer is 7:15 pm

Step-by-step explanation:

basically just count with your hands if you want, start with one finger and say 13 and go up from there, 7th finger is the 19th. Thats my easiest way of doing it. Or you can subtract 24-19 and subtract 12 from the remaining sum

|3t – 9| = 3 Step by step

Answers

Answer:

t = {4, 2}

Step-by-step explanation:

|3t-9| = 3

Split into two parts,

3t-9 = 3, and -(3t-9) = 3

Solve

t-3 = 1, and -(t-3) = 1

t = 4, and -t+3 = 1

t = 4, and t=2

Other Questions
the term describes an object that is shaped like a bot Suppose a basketball player has made 300300 out of 385385 free throws. If the player makes the next 33 free throws, I will pay you $25$ 25. Otherwise you pay me $24$ 24. Step 1 of 2: Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values. How do we weigh planets? Explain your thinking An ion channel can be in either open (O) or closed (C) states. If it is open, then it has probability 0.1 of closing in 1 microsecond; if closed, it has probability 0.3 of opening in 1 microsecond. Calculate the probability of the ion channel going through the following sequence of states: COO. An individual can be either susceptible (S) or infected (I), the probability of infection for a susceptible person is 0.05 per day, and the probability an infected person becoming susceptible is 0.12 per day. Calculate the probability of a person going through the following string of states: SISI. how many grams of NaCl are in 1.25 x 10^24 molecules of NaCl Which of the following statements is TRUE? A. By INCREASING the number of payments per year, you BOOST your total cash outflow but INCREASE your effective borrowing rate. B. By INCREASING the number of payments per year, you REDUCE your total cash outflow but DECREASE your effective borrowing rate. C. By INCREASING the number of payments per year, you REDUCE your total cash outflow but INCREASE your effective borrowing rate. D. By DECREASING the number of payments per year, you REDUCE your total cash outflow but INCREASE your effective borrowing rate. You buy certain supplies in Nearland. Last year, the currency exchange rate was 1 USD = 3 NRD. Are these supplies more or less expensive to buy now than last year? Explain your answer in complete sentences. PSYCHOLOGY QUESTION True or False: Rotating shift work can make it simpler to fall into a normal sleep rhythma) Trueb) False pa help po plsss plsss help me A student drew the picture of a human body system shown belowPls help its due today What did Lina see during the 2nd blackout?What did Lina see during the 2nd blackout The switch in a circuit breaker opens when which of the following in the circuit becomes too high?A) currentB) resistanceC) static chargeD) total charge Which of the following is equivalent to the expression below?( 3m + 5) + (m 11)A: 2m 6B: 2m 16C: 4m 16D: 4m 6 The school cafeteria sells two kinds of wraps: vegetarian and chicken. The vegetarian wrap costs $1.00 and the chicken wrap costs $2.70. Today they made $244.60 from the 146 wraps sold. How many of the wraps sold were vegetarian? I rly need yalls help on #1-3, and 5 pleasee! Which type of line of symmetry does the figure have? 16) Une urne contient 60 boules qui sont soit vertes, soit rouges.On ne connat pas la proportion de boules de chaque couleur. Une exprienceconsiste tirer au hasard une boule de l'urne, noter sa couleur et la remettredans l'urne. On organise la rptition 10 000 fois de cette exprience et on obtientles frquences suivantes :CouleurVerteRougeFrquence0,33870,6613a. Proposer une estimation du nombre de boules vertes et du nombre de boulesrouges contenues dans l'urne.b. Avec cette estimation, donner la probabilit de tirer :Une boule verte;Une boule rouge. Why do we need to understand the importance of an incident reports? what is diffrence bettwen thermal energy and heat Can someone please help me ASAP??