code is formed using four of these letters: A, B, I. K, N, O, and T. (Note that the order of the letters in the code matters; for example, ABIK
different code from BAIK.
The size of the sample space is
. The probability that the first three letters of the four-letter code are vowels is

Answers

Answer 1

Answer:

The size of the sample is 840.

The probability that the first three letters of the four-letter code are vowels is=\frac{1}{35}=

35

1

Step-by-step explanation:

Th total number of letters given to form code of 4 letters = 7

Since, the order of the letters in the code matters, which means there is no repetition.

The total number of ways to form the code size =7*6*5*4=8407∗6∗5∗4=840

Therefore, The size of the sample is 840.

Since, there are 3 vowels and rest of 4 letters are consonant.

The number of ways to form code such that the first three letters of the four-letter code are vowels =3\times2\times1\times4=243×2×1×4=24

The probability that the first three letters of the four-letter code are vowels is

=\frac{24}{840}=\frac{1}{35}

840

24

=

35

1


Related Questions

what is the volume if this rectangular prism​

Answers

First take 15/4x6/5=4.5 now since there are four sections like this we need to multiply that by four 4,5x4=18. Now lets find the two ends (8/3x6/5)2=6.4. Now we can add our two values together. 18+6.4=24.4cm^3. So the answer is 24.4cm^3

Answer:

24.2^3cm is the correct answer .

What is the value of p when the expression 2(4 + x) is equivalent to 2(x + p)?

Answers

Answer:

p = 4

Step-by-step explanation:

[tex]2(x+p)=2(4+x)\\x+p=4+x\\p=4[/tex]

P=4 I believe so most likely yes

Helllllllpppppp please help me

Answers

Answer:

i think maybe j that is what I think

Nathan needs to order some new supplies for the restaurant where he works. The restaurant needs at least 571 forks. There are currently 361 forks. If each set on sale contains 10 forks, use the drop-down menu below to write an inequality representing

Answers

Answer:

Nathan must order 21 sets of forks for the restaurant.

Step-by-step explanation:

Since Nathan needs to order some new supplies for the restaurant where he works, and the restaurant needs at least 571 forks since there are currently 361 forks, if each set on sale contains 10 forks, to determine the number of sets to buy you must perform the following calculation:

(571 - 361) / 10 = X

210/10 = X

21 = X

So Nathan must order 21 sets of forks for the restaurant.

Help me pls i don't got a lot of time

Answers

Answer:

true

Step-by-step explanation:

I swear I know

i know it

please help asap !!! Which of the following points is a solution to the system of equations shown in the graph above?
A.(-2, 1)
B.(0, 0)
C.(0, 3)
D.(1, -2)

Answers

Answer:

a

Step-by-step explanation:



A camp program charges a registration fee and a daily amount.

The total bill for 12 days is $338. The total bill for 19 days is

$506. Slope can be represented by cost per day. Use x as the

number of days and y as the total cost to represent this

situation.

a. Find the slope for this situation. What does it represent?

b. Write a linear equation that models this situation.

Answers

Using the information given, it is found that:

a) The slope is of 24, which means that for each day, the total bill increases by $24.b) The linear equation is: [tex]y = 24x + 50[/tex]

Linear functions:

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.

Item a:

The total bill for 12 days is $338.The total bill for 19 days is  $506.

The slope is given by the change in y(total bill) divided by the change in x(number of days), hence:

[tex]m = \frac{506 - 338}{19 - 12} = 24[/tex]

The slope is of 24, which means that for each day, the total bill increases by $24.

Item b:

The total bill for 12 days is $338, hence, when [tex]x = 12, y = 338[/tex], and this is used to find b.

[tex]y = 24x + b[/tex]

[tex]338 = 24(12) + b[/tex]

[tex]b = 50[/tex]

Hence, the linear equation is: [tex]y = 24x + 50[/tex]

You can learn more about linear functions at https://brainly.com/question/25823744

Find the length of the third side. If necessary, round to the nearest tenth

Answers

Answer:

x=14.28

Step-by-step explanation:

24^2+x^2=28^2, Pythagorean theorem

x^2=28^2-24^2

x^2=(28+24)(28-24)

x^2=52*4

x^2=204

x is around 14.28

3.(06.01 LC) Which point on the scatter plot is an outlier? (5 points) у 70 B 60 50 A 40 30 20 10 0 2 4 6 8 10 12 14 Point A Point B Point C Point D​

Answers

Answer:

point b

Step-by-step explanation:

Find sequence 10 5/22, 9, 7 17/22, ___, 5 7/22

Answers

Answer:

6⁶/11

Step-by-step explanation:

adding -27/22 to the previous number will give you the next number in the sequence

10 5/22 + -27/22 = 9

9 + -27/22 = 7 17/22

7 17/22 + -27/22 = 6 6/11

6 6/11 + -27/22 = 5 7/22

Suppose John is a high school statistics teacher who believes that watching many hours of TV leads to lower test scores. Immediately after giving the most recent test, he surveyed each of the 24 students in his class and asked them how many hours of TV they watched that week. He then matched each student's test grade with his or her survey response. After compiling the data, he used hours of TV watched to predict each student's test score. He found the least-squares regression line to be

Answers

This question is incomplete, the complete question is;

Suppose John is a high school statistics teacher who believes that watching many hours of TV leads to lower test scores. Immediately after giving the most recent test, he surveyed each of the 24 students in his class and asked them how many hours of TV they watched that week. He then matched each student's test grade with his or her survey response. After compiling the data, he used hours of TV watched to predict each student's test score. He found the least-squares regression line to be y"  = -1.5x + 85.

He also calculated that the value of r, the correlation, was -0.61.

what is the correct value of the coefficient of determination R² and give a correct interpretation of its meaning

Answer:

Interpretation of coefficient of determination R² = 0.3721

R² = 0.3721, meaning 37.21% of the total variation in test scores can be explained by the least square regression line

Step-by-step explanation:  

Given the data in the question;

the least square regression line is;

y"  = -1.5x + 85

the correlation coefficient r = -0.61

Now, the coefficient of determination R² is square of correlation coefficient r

R² = -61²

R² = 0.3721

Type the correct answer in each box.
Consider the expressions shown below.
А.
B
C с
-872
-
3.5 + 4812
3r + 8 8r2 + 3r
4
Complete each of the following statements with the letter that represents the expression.
-
(3x2 7x + 14) + (5x2 + 41 6) is equivalent to expression
(2x2 – 5x – 3) + (-10x2 + 2x + 7) is equivalent to expression
(12t2 – 2x – 13) + (-4x2 + 5x + 9) is equivalent to expression

Answers

Answer/Step-by-step explanation:

✔️(3x² - 7x + 14) + (5x² + 4x - 6)

3x² - 7x + 14 + 5x² + 4x - 6 (distributive property)

Add like terms

3x² + 5x² - 7x + 4x + 14 - 6

8x² - 3x + 8

Therefore:

✅(3x² - 7x + 14) + (5x² + 4x - 6) is equivalent to expression 8x² - 3x + 8.

✔️(2x² - 5x - 3) + (-10x² + 2x + 7)

2x² - 5x - 3 - 10x² + 2x + 7 (distributive property)

Add like terms

2x² - 10x² - 5x + 2x - 3 + 7

-8x² - 3x + 4

Therefore:

✅(2x² - 5x - 3) + (-10x² + 2x + 7) is equivalent expression to -8x² - 3x + 4

✔️(12x² - 2x - 13) + (-4x² + 5x + 9)

12x² - 2x - 13 - 4x² + 5x + 9

12x² - 4x² - 2x + 5x - 13 + 9

8x² + 3x - 4

Therefore:

✅(12x² - 2x - 13) + (-4x² + 5x + 9) is equivalent expression to 8x² + 3x - 4

Answer:

B, A, C

Step-by-step explanation:

A sample of radium has a weight of 1.5 mg and a half-life of approximately 6 years.
How much of the sample will remain after 1 year?

Answers

Answer:

Step-by-step explanation:

1.5×0.5^(⅙) ≅ 1.3 mg

Write the percent as a fraction or mixed number in lowest term 74 3/8%

Answers

Answer:

222/2 = 111

8/2 = 4

74 /1

Step-by-step explanation:

Extra Points and brainliest! Question below

Answers

Answer:

14 one fourths

Step-by-step explanation:

First, we convert 7/2 into a fraction with the denominator of a four. To do this, we multiply the top and bottom by 2. 7*2 is 14, and 2*2 is 4, which gives us 14/4. This means that there are 14 one fourths in 7/2. Hope this helps!

Answer:

14 fourths

Step-by-step explanation:

Hey There!

So to solve this problem we need to divide 7/2 by 1/4

[tex]\frac{7}{2}divided by\frac{1}{4} =14[/tex]

Therefore 14 fourths can go into 7/2

Can y’all help me on question 16?!

Answers

Answer:

[tex]e^{2} - 21[/tex]

Step-by-step explanation:

Hey there!

Let's get you your answer!

We have to multiply e by e. Then we need to subtract 21 from it. That would look like this: [tex]e^{2} - 21[/tex]

Hope that helps!

23 + 7 + 15 =
Simplify each expression. Justify each step

Answers

23 plus seven is 30 and then you add the 15 which equals 45

Find X for the solution

Answers

Step-by-step explanation:

good lucks

Which expression is equivalent to 7u+4u?

Answers

Answer:

11u

Step-by-step explanation:

Add 7u and 4u

Hope this helps! :)

help me pleaseee! thank you!!!

Answers

Answer:

you shouldn't be cheating kid

Patrick is reading a book about the history of baseball. The book is 210 pages long; 140 of the pages have illustrations on them. If Patrick opens the book to a random page, what is the probability that the page will have an illustration on it?

Answers

Answer:

Probability: 140/210= 14/21

HELP ASAP WHAT IS THIS ANSWER

Answers

Answer:

Step-by-step explanation:

x = 1/2 ( a + b)

x = 1/2 (129 + 71)

x = 1/2 (200)

x = 100 °

you just have to remember that formula

Someone help me please!

Answers

Answer:

ACD

Step-by-step explanation:

PLZZ mark brainliest!!

Answer:

D i think i havent done this in a while

Step-by-step explanation:

PRE-CALCULUS HELP
Hi can I please get some help on these two questions, I have to records the answer vocally and am not sure how to complete these last ones.
The point (2,5) is on the terminal side of 0. Explain how to find tan 0

Explain how to convert 42' 35'19' to decimal degrees.

Answers

I’m not sure about this answer sorry.

PLEASE ANSWER THIS QUESTION IS IN THE IMAGE!! DUE TODAY!
20 POINTS!

Answers

I cannot do the math on this but the answer equals to 4 and 1/14

Which figure could be the result of dilating this triangle with a scale factor greater than 1? On a coordinate plane, a triangle has points (0, 0, (0, 3), (6, 0). On a coordinate plane, a triangle has points (0, 0), (0, 3), (9, 0). On a coordinate plane, a triangle has points (0, 0), (0, 1), (6, 0). On a coordinate plane, a triangle has points (0, 0), (0, 5), (10, 0). On a coordinate plane, a triangle has points (0, 0), (0, 2), (4, 0).

Answers

Answer:

C

Step-by-step explanation:

Edge

The required figure has been attached below could be the result of dilating a given triangle with a scale factor greater than 1. The correct answer would be an option (C).

What is a transformation?

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

The triangle has points (0, 0), (0, 3), and (6, 0) which are given in the question.

As per option (C), we have

On a coordinate plane, a triangle has points (0, 0), (0, 5), and (10, 0).

This result of dilating a given triangle with a scale factor greater than 1.

The required figure has been attached below which represents the dilation.

The correct answer would be an option (C).

To learn more about the transformations click here :

https://brainly.com/question/28029674

#SPJ6

A checking account contains 6,274.54.how much is left after withdrawing $385.79

Answers

Answer:

$5888.21

Step-by-step explanation:

when you see the words withdrawing remember that u always are subtracting so the equation will be 6274.54 - 385.79.

g^4+ 5h
when g=2 & h=4

Answers

Answer: 36

Step-by-step explanation:

g^4+5h

2^4+5(4)

16+20

36

Find all real solutions to (x^2+4)(x^3-4x^2-3x+12)=0

Answers

Answer:

x=4 or x=1.732051 or x=−1.732051

Celebrating exactly 8,000 people helped

What is 21+G as an algebraic expression?

Answers

Answer:

i dont know

Step-by-step explanation:

lol

Answer:

(20 + 1) + G

Step-by-step explanation:

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