You are creating strings picking letters from the English alphabet at random. What is the probability that your randomly created string of length 11 will contain exactly 7 A's

Answers

Answer 1

There are 4 positions in the string that each have 25 choices (any letter in the English alphabet except A) and the other positions are filled with A, so there are 25⁴ possible strings containing exactly 7 A's.

Overall, there are 26¹¹ possible strings of length 11.

Then the probability of randomly generating a string containing exactly 7 A's is

25⁴ / 26¹¹ ≈ 0.000000000106427


Related Questions

A graph titled Population of Ohio has years on the x-axis and population (millions) on the y-axis. Points are at (1930, 7), (1950, 8), (1970, 10.5), (1990, 10.8), (2010, 11.8).
What relationship between the population of Ohio and the number of years is displayed in the scatterplot ?
As the number of years increased, the population increased.
As the number of years increased, the population stayed the same.
As the number of years increased, the population decreased.
As the number of years decreased, the population decreased.

Answers

Answer

A.) As the number of years increased, the population increased.

I don't understand this​

Answers

Answer:

Given that measure 2 is 79 degrees, we know it'll be supplementary to angle 1 meaning that that both angle measures 1 and 2 will equal 180 degrees:

79 + x = 180

-79        -79

x = 101, ∠1 = 101°

Angles 2 and 4 are vertical, so they are congruent meaning they measure the same degrees:

if ∠2 = 79, then ∠4 is also equal to 79°

Now that we found the measure of angle 1, we can determine the measure of angle 3 since they are vertical as well, (vertical angles are congruent, meaning they measure the same degrees):

if ∠1 = 101, then ∠3 is also equal to 101°

Covert 6 pounds and 4 ounces into ounces

Answers

Answer:

6 pounds = 96 ounces

4 pounds = 64 ounces

6 pounds is: 96 ounces
4 pounds is: 64 ounces

Helppppppppppppppppppppppppppp

Answers

Answer:

Answer B
z = 15

Step-by-step explanation:

The question is asking you what the value of each triangle would be if the total was 45 (The square). A equation for this would be:
45 = 3z

divide 3 on both sides to get:

15 = z

Deon runs each lap in 4 minutes. He will run at most 32 minutes today. What are the possible numbers of laps he will run today? Use n for the number of laps he will run today.
Write your answer as an inequality solved for n.

Answers

Answer:

4n ≤ 32

/4      /4

n ≤ 8, he could run less than 8 or just 8 laps,

so possible laps:

1, 2, 3, 4, 5, 6, 7, or 8 laps he could've ran.

Evaluate the expression for t = –2.

|t − 7| HELP PLS IM GIVING 23 POINTS OUT TOO FOR RIGHT ANSWERS!

Answers

Answer:

T=-9

Step-by-step explanation:

Estimate 26 % of 160.

Answers

Answer:

about 42 the not rounded is 41.6

Answer:

60

Step-by-step explanation:

Multiply to find that the answer is: 41.6

To estimate, simply round the numbers before multiplying. That would be thirty percent of 200. The answer is 60. This is close to 41.6 and is a reasonable estimate.

the perimeter of rectangular lawn is 300 m. if the length and breadth are in ratio of 8:7, find the area of the lawn​

Answers

Answer:

5600 m²

Step-by-step explanation:

The perimeter of a rectangle is 2x + 2y = 300

If we have a ratio of length to breadth, we can just assign variables to simplify the problem. It doesn't matter if x is breadth or length and the same goes for y. But in this case, I just choose x as length and y as breadth.

x = 8n

y = 7n

2(8n) + 2(7n) = 300

30n = 300

n = 10

so, plugging n into x and y

x = 8(10) = 80

y = 7(10) = 70

Area of a rectangle

A = xy

A = (80)(70) = 5600 m²

HELPPP FOR BRIANLEST!!!!

Answers

Answer:

12/17

Step-by-step explanation:

total that are NOT Toe Knows shoe (7) plus total that are NOT pleased (10) and subtract total that are not toe knows and not pleased (5)

7 + 10 - 5 = 12

over total (17)

12/17 doesn't simplify

Can anyone please help me with this ASAP

Answers

Yeah what is it ? I can help you

What is the effect on the graph of the function f(x)=x^2 when f(x) is changed to f(x+8)?

A. Shifted up

B. Shifted left

C. Shifted right

D. Shifted down

Answers

Answer:

B. Shifted left

Step-by-step explanation:

Initial function is

f(x) = x²

Changed function is

f(x + 8)

This is best explained when graphed. See below to confirm the correct option

f(x+8)

(x+8)²

So

x² is changed to (x+8)²

Change in x

It will shift 8 units left

Option B

PLEASE HELP, THIS IS DUE ALREADY AND I AM IN A HUGE HURRY

Answers

Solution:

Note that:

Given equation: y = 8x

Let's substitute x as 2 to find out y.

y = 8x=> y = 8(2)=> y = 16

Let's substitute x as 4 to find out y.

y = 8x=> y = 8(4)=> y = 32

Final answer:

When x = 2, y = 16When x = 4, y = 32

Option B is correct.

write equation from 2 points. I need help with 12 and 11.

Answers

12)

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{-4}-\underset{x_1}{4}}}\implies \cfrac{-2}{-8}\implies \cfrac{1}{4}[/tex]

now, I used y₂ - y₁  and x₂ - x₁, is pretty much the same slope the other way.

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{\cfrac{1}{4}}(x-\stackrel{x_1}{4}) \\\\\\ y-5=\cfrac{1}{4}x-1\implies y=\cfrac{1}{4}x+4[/tex]

13)

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{0}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{0}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{-4}-\underset{x_1}{(-2)}}}\implies \cfrac{-2}{-4+2}\implies \cfrac{-2}{-2}\implies 1[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_2=m(x-x_2) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{1}(x-\stackrel{x_1}{(-4)}) \\\\\\ y=1(x+4)\implies y=x+4[/tex]

notice, for the point-slope form, we can use either x₁ , y₁  or x₂ , y₂ , doesn't quite matter, so long we use the corresponding coordinates.

Find the value of x if mean of the given data is 4.5
5, 7, 7, 8, x, 5, 4, 3,1 and 2

Answers

Answer:

Step-by-step explanation:

First add what you have.

Sum = 5 + 7 +7+8 + x + 5 + 4 +3 + 1 +2

Sum =  x + 42

Now when you divide this by the number of terms, you get

(x + 42) / 10

The answer is 4.5

(x + 42) / 10 = 4.5                 Multiply by 10

x + 42 = 4.5 * 10

x + 42 = 45                           Subtract 42

x = 45  - 42

x = 3

whats wrong with my answers?

Answers

77a)

[tex]y=0.5x-2\implies y=\cfrac{x}{2}-2\implies \stackrel{x-intercept}{0=\cfrac{x}{2}-2} \\\\\\ 2=\cfrac{x}{2}\implies 4=x\qquad \qquad \boxed{(4~~,~~0)} \\\\\\ \stackrel{y-intercept}{y=0.5(0)-2}\implies y=-2\qquad \qquad \boxed{(0~~,~~-2)}[/tex]

77b)

[tex]y=-0.4x+2\implies y=-\cfrac{4x}{10}+2\implies y=\cfrac{2x}{5}+2 \implies \stackrel{x-intercept}{0=\cfrac{2x}{5}+2} \\\\\\ -2=\cfrac{2x}{5}\implies -10=2x\implies \cfrac{-10}{2}=x\implies -5=x~\hfill \boxed{(-5~~,~~0)} \\\\\\ \stackrel{y-intercept}{y=-0.4(0)+2}\implies y=2\qquad \qquad \boxed{(0~~,~~2)}[/tex]

pls help due in 5 min.

Answers

Answer:

4 containers orange juice

4 containers pinapple

2 containers cranberry

Step-by-step explanation:

1000 milliliters are in a liter

4 liters orange juice, 4*500 = 2,000

4 liters pinapple, 4*500 = 2,000

2 liters cranberry, 2*500 = 1,000

Total 5 liters

please solve!!!!!!!!!!!!!!!!!!!!!!!

Answers

Solution:

We know that:

[tex]\bullet \ \ \tex\text{Area of triangle:} = \frac{1}{2} \times \tex\text{Base} \times \tex\text{Height}[/tex]

Let the base of the triangle be 11 yd. If we extend the base, it will allow us to find the height of the triangle, which is 8 yd.

Using the formula:

[tex]\bullet \ \ \tex\text{Area of triangle:} = \frac{1}{2} \times 11 \times 8[/tex]

Now, let's simplify.

[tex]\bullet \ \ \tex\text{Area of triangle:} = \frac{1}{2} \times 11 \times 8[/tex]

[tex]\bullet \ \ \tex\text{Area of triangle:} = 11 \times 4[/tex]

[tex]\boxed{\bold{\tex\text{Area of triangle:} = 44 \ \tex\text{yd}^{2}}}[/tex]

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

C

Step-by-step explanation:

Causation is when one thing causes another.

Correlation means one thing is related to another but doesn't cause it.

A - we know more rain means more rainfall which means more water in a river.

B - We know hotter temperature means things melt or evaporate faster.

C - This does not work. How does vision loss cause people to have hearing aids? There might be a correlation but it can't cause it.

D - We know fewer mistakes mean higher grades.

Which situation best demonstrates the phrase "correlation is not causation"?

O As rainfall increases, so does the water level in the river.

O The hotter the temperature, the faster ice will melt

O As the number of people with vision loss increases, the sale of hearing aids increases. ✓

In this case ,the correlation isn't causation because the sale of hearing aids hasn't increased because of increasement in vission loss cases but hearing aids cases but perhaps there's a correction of the sales of hearing aids and vision loss

O The fewer mistakes a student makes on a math test, the better their grade is on the math test.

At 20 degrees celsius, the ice will melt in 20 minutes. How long will it take to melt in 30 degrees celsius?

Answers

Answer:

13.33

Step-by-step explanation:

Write the equation for an inverse variation

⇒ y = k/x

Where x is degrees and y is minutes

Substitute 20 and 20 for x and y

⇒ 20 = k/20

Multiply both sides by 20 to solve k

⇒ 20 × 20 = 20 × k/20

⇒ k = 400

After solving for k, write an equation for the inverse variation

⇒ y = 400/x

Substitute 30 for x

⇒ y = 400/30

⇒ y = 40/3

⇒ y = 13.3333333333

⇒ y = 13.33

[RevyBreeze]

Assume that in a local city it rains once every 7 days, on average. Also, assume that a full moon occurs once every 29 days. If we select a random date on the calendar, what is the probability that there will be rainfall and a full moon on that date.

Answers

The events of rainfall and having a full moon on a given date are illustrations of probability

The probability that there will be rainfall and a full moon on that date is 0.0049

How to determine the probability

From the question, we have the following parameters

P(A) = 1/7 --- the probability that it rains

P(B) = 1/29 --- the probability of having a full moon

So, the probability that is rains and there is a full moon on a given day is:

[tex]p = \frac 17 * \frac 1{29}[/tex]

Simplify

[tex]p = 0.0049[/tex]

Hence, the probability that there will be rainfall and a full moon on that date is 0.0049

Read more about probability at:

https://brainly.com/question/25870256

Who was alan turing and what were his contributions to the field of mathematics?.

Answers

Moder computer science his work on computation theory

Answer:

Alan Mathison Turing OBE FRS was an English mathematician, computer scientist, logician, cryptanalyst, philosopher, and theoretical biologist.

Born: June 23, 1912, Maida Vale, London, United Kingdom

Died: June 7, 1954, Wilmslow, United Kingdom

Turing's main contribution to mathematics, however, was his work on computation theory. Presaging the invention of the modern computer, Turing designed an abstract computing device known as the Turing machine — an entirely virtual construct which could perform calculations and follow instructions.

$4000 is divided between three children in the ratio 2:3:5.
How much does each child receive?​

Answers

Okay so here is how it works:

Because 2:3:5 is the ratio 10 is the total because 2+3+5 is 10 right?

You therefore equate 10 to 4000

10=4000

so if 10 is equal to 4000 what about 2,3 or 5?

2/10×4000=800

3/10×4000=1200

5/10×4000=2000

Hope this anwered your question

I will give brainliest
Find Volume of cone

Answers

half of 4 is 2

22 * 2 44

A car travels 480 miles in 12 hours. What is the rate in miles per​ hour? In hours per​ mile

Answers

Answer: 40 miles per hour

Explanation: Divide the 480 by 12 hours and you get 40 mph

Answer:

40 miles per hour and .025 hours per mile

Step-by-step explanation:

480/12=40

12/480 = .025

Find the exact area. See picture for full problem. Please and thank you so very much!(:

Answers

Answer:

384sqrt3

Step-by-step explanation:

The formula for the area of a hexagon is A = 3sqrt3 times s^2 /2

Plug in s = 16 to get A = 3sqrt3 times 16^2 (256) / 2

3sqrt3 times 256 is 768sqrt3

You divide that by 2 to get 384sqrt3

14, 9, 7, 13, 15, 9, 10
What is the mode of this data?

Answers

Answer: 9

Step-by-step explanation: To find the mode, you order the numbers from lowest to highest and see which number appears the most often.

(87 POINTS I NEED ANSWER TODAY!!!) A right trapezoidal prism is sliced parallel to its base.

What is the shape of the resulting two-dimensional cross section?


trapezoid

parallelogram

rectangle

square

Answers

Answer:

trapezoid

Step-by-step explanation:

A right trapezoid has 2 parallel sides and 2 adjacent right angles.

In geometry, the base of a prism is the actual shape.

So the base of a triangular prism is the triangle, similarly the base of a pentagonal prism is the pentagon, etc.

Therefore, the base of a trapezoidal prism is the trapezoid itself.

If the prism is cut parallel to the base, then the cross section will be the same shape as the base.  So in this case, it will be a trapezoid.

Answer:

sQUARW

Step-by-step explanation:

The epicenter of an earthquake is the point on Earth’s surface directly above the earthquake’s origin. A seismograph can be used to determine the distance to the epicenter of an earthquake. Seismographs are needed in three different places to locate an earthquake’s epicenter. Find the location of the earthquake’s epicenter if it is 3 miles away from (2,1) , 4 miles away from (5,-3) , and 5 miles away from (10,1)

Answers

Based on the calculations, the location of the earthquake’s epicenter is at (-1, 1).

What is an epicenter?

An epicenter can be defined as the point on the surface of planet Earth, which is perpendicular to the hypocenter (focus) and directly above the earthquake’s origin. Also, it indicates where the seismic waves from an earthquake are most intense.

For this exercise, we would set the epicenter at x and y. Using the equation of a circle, we have the following:

At A (2, 1) and 3 miles away;

[tex](y-1)^2+(x-2)^2=3^2[/tex]   ......equation 1.

At B (-5, 3) and 4 miles away;

[tex](y-3)^2+(x-(-5))^2=4^2\\\\(y-3)^2+(x+5)^2=4^2[/tex]   ......equation 2.

At C (10, 1) and 5 miles away;

[tex](y-1)^2+(x-10)^2=5^2[/tex]   ......equation 3.

Subtracting eqn. 2 from eqn. 1, we have:

[tex](x-2)^2-[(x+5)^2]=3^2-4^2\\\\x^2-2x-2x+4-[(x^2+5x+5x+25)]=9-16\\\\x^2-4x+4-x^2-10x-25=-7\\\\-14x-21=-7\\\\-14x=-7+21\\\\-14x=14\\\\x=\frac{-14}{14}[/tex]

x = -1 when y = 1.

Read more on epicenter here: brainly.com/question/6835759

Answer: i used desmos to graph the circles and from the graph, you can tell that the point of intersection (epicenter) is (5, 1)

Step-by-step explanation:

Answer number 8 and 10 please

Answers

Answer:

Q8 It is because the data collected are too scattered and cannot show an obvious trend.

if it's correct pls mark brainliest tks

02.
39
za
Diagram NOT
accurately drawn
63
D
E
G
ABC is parallel to DEFG
BCBF
Angle ABE = 39"
Angle CFG = 63
Work out the size of angle x
Give a reason for each stage in your working.
HELP

Answers

The measure of angle x from the diagram is 102 degrees

Lines and angles

From the given diagram, we can see that the measure of angle "x" lies on the same line with 39 degrees. Since the sum of angles on a straight line is 180 degrees, hence;

39 + x + 39 = 180

78 + x = 180

Subtract 78 from both sides

78 + x - 78 = 180 - 78

x = 180 - 78

x = 102 degrees

Hence the measure of angle x from the diagram is 102 degrees

Learn more on lines and angles here; https://brainly.com/question/25770607

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