Mathematics High School

Each letter of the word "supercalifragilisticexpialidocious" is placed into a bag and drawn at 3 times, replacing the letter after each draw. Find the probability that the letter "i" is drawn at least once.

Answers

Answer 1

Answer:

P(X ≥ 1) = 0.50

Step-by-step explanation:

Given that:

The word "supercalifragilisticexpialidocious" has 34 letters in which 'i' appears 7 times in the word.

Then; the probability of success = 7/34 = 0.20588

Using Binomial distribution to determine the probability; we have:

[tex]P(X = x) = ^nC_x \ \beta^x \ (1 - \beta)^{n-x}[/tex]

where;

x = 0,1,2,...n    and    0  <  β   <   1

and x represents the  number of successes.

However; since the letter is drawn thrice; the probability that the letter "i" is drawn at least once can be computed as:

P(X ≥ 1) = 1 - P(X< 1)

P(X ≥ 1) = 1 - P(X =0)

[tex]P(X \ge 1) = 1 - \bigg [ {^3C__0} (0.21)^0 (1-0.21)^{3-0} \bigg][/tex]

[tex]P(X \ge 1) = 1 - \bigg [ 1 \times 1 (0.79)^{3} \bigg][/tex]

P(X ≥ 1) = 1 - 0.50

P(X ≥ 1) = 0.50

Related Questions

A line passes through the point (-10, -2) and has a slope of
3/2

Write an equation in slope-intercept form for this line.

Answers

The equation of this line in slope intercept form is y = 1.5x + 13.

What is slope intercept form?

The slope-intercept form of a straight line is used to find the equation of a line. For the slope-intercept formula, we have to know the slope of the line and the intercept cut by the line with the y-axis.

Equation of line: y = mx + c

where m is slope of line and c is the y intercept.

[tex]\frac{y+2}{x+10} = \frac{3}{2}\\ \\ 2(y+2) = 3(x+10)\\\\2y + 4 = 3x + 30\\\\2y = 3x + 26\\\\y = 1.5x + 13\\\\where\ slope = 1.5\ and\ y\ intercept\ is\ (0,13)[/tex].

Learn more about slope intercept form here

https://brainly.com/question/9682526

#SPJ3

15(2x + 2) = 10(3x + 4)

Answers

Answer:

No Solutions

Step-by-step explanation:

If you simplify the equation, you would get 30x + 30 = 30x + 40, which if you subtract 30x, you would get 30 = 40, which means that there are no solutions, because no amount for x would balance this equation.

Which of the following is a linear function?
А
B
C
D

Answers

Answer:

d

Step-by-step explanation:

..................

The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function C equals 34.95 you +6.25 where you is the number of uniforms but if there are at least eight players but no more than 12 players on the team what is the domain you of the function for this situation

Answers

Answer:

8 ≤ u ≤ 12

Step-by-step explanation:

Given:

C = 34.95u +6.25

Where,

u = number of uniforms

what is the domain you of the function for this situation

The number of uniforms depend on the number of players

If there are at least 8 players but not more than 12 players on the volleyball team.

u ≥ 8

u ≤ 12

The domain of the function is

8 ≤ u ≤ 12

What does the area of any shape tell us??

Answers

The area of a shape tells you the amount of space inside. The perimeter tells you how long the outline is. This is what the area and perimeter tell you.

Hope this helps you!

The units digit of a two-digit number is four more than the tens digit. If the number is doubled, it will be one more than the reversed number. Find the number. (Number: 32 Reversed number: 23)

Answers

Answer:

37

Step-by-step explanation:

2-digit number: 10x + y

y = x + 4

20x + 2y = 10y + x + 1

8y = 19x - 1

8x + 32 = 19x - 1

11x = 33

x = 3

Number: 37

Answer:

Answer:

37

Step-by-step explanation:

2-digit number: 10x + y

y = x + 4

20x + 2y = 10y + x + 1

8y = 19x - 1

8x + 32 = 19x - 1

11x = 33

x = 3

Number: 37

PLEASE HELP! What is the volume of the pyramid shown below?

Answers

The formula for the volume of a pyramid is,

V=1/3Bh


Since the base of the pyramid is a square, the base area is 11^2

which equals 121 sq. units

So, substitute 121

for B

and 6 for h, in the formula.

V=1/3(121)(6) = 242 cu. units

Or alternatively 1/3(11^2)(6) = 242 cu. units

Answer:

242 cubic units

Step-by-step explanation:

what do u call girl giving away 100 points and nothing to do?

Answers

Answer:

i dont know but thanks for the points

Step-by-step explanation:

-11/16 what is that lol i’m so lost

Answers

-11/16 = -0.6875

What part are you lost on, do you want me to teach you how to divide them?

Answer:

-0.6875

Step-by-step explanation:

-11/16 = -0.6875

(positive and negative numbers multiplied/divided give a negative number)

simplify 5a+7b-12a+6c-13b-22a+53c

Answers

Answer:

−29−6+59

Step-by-step explanation:

Reasoning How can you find the slope of the
line that passes through the points (0, 0) and
(2, 4)? Explain.

Answers

use the equation y2-y1/x2-x1 so you would do 4-0/2-0= 4/2= 2 so your slope is 2

Please help!
What's the answer to this?: (-5x^2)^3

Answers

The answer is -125x^6
You do
(-5)^3 * (x^2)^3






........2)3$2$$:$:$:$:$27/737373737

What is -6k + 15k + 8

Answers

Answer:

9k + 8

General Formulas and Concepts:

Algebra I

Combining like terms

Step-by-step explanation:

Step 1: Define expression

-6k + 15k + 8

Step 2: Simplify

Combine like terms (k):                    9k + 8

And we have our final answer!

Need help fast with my work

Answers

Answer:

-25

Step-by-step explanation:

Convert 156% to a decimal

Answers

Answer:

1.56

Step-by-step explanation:

156 divided by 100

Answer:

1.56

Step-by-step explanation:

To convert a percentage to a decimal, you must divide the number by 100 because percentages are out of 100. 156 percent can also be written as 156/100 which you can simplify to 1.56.

help pls need help. :) :)

Answers



S^3+12

S= 4

4^3+12
64+12= 76

76 ft cubed

I hope this is right!

Hey can you please help me

Answers

M= -2
B= 4
Dashed below

About plants:
so photosynthesis produces oxygen as a waste product, but then respiration uses oxygen to produce carbon dioxide, so like doesnt that 'cancel' each other out? im confused if plants are actually helpful or not (oxygen wise)

Answers

plants are very helpful because we get oxygen from plants to inhale and Excel carbon dioxide which is unsuitable for a good environment plants inhale carbon dioxide and consumed at and XL oxygen which we inhale carbon dioxide is a major reason for global warming and plants are very helpful in our life because if there are no plants = no life because no oxygen

a parabolic lamp is facing due east. The bulb (located at the focus) is 8 inches away from the vertex (located at the origin). the lamp has a diameter of 20 inches. Which is the depth of the dish?

Answers

9514 1404 393

Answer:

  3 1/8 inches

Step-by-step explanation:

For focus-vertex distance p, the equation of the parabola can be written ...

  y = x^2/(4p)

Here, we have p=8. We want to find the value of y when x=10 (the radius of the dish). That is ...

  y = (10^2)/(4·8) = 100/32 = 3 1/8

The dish is 3 1/8 inches deep.

solve the equation 7- 14m = 2m - 5 ​

Answers

Answer:

m = 6/7

Step-by-step explanation:

Rearrange the equation so that like terms are on either side

7 + 5 = 2m + 14m

12 = 14m

Divide both sides by 14 so that the variable is on its own

12/14 = m

m = 6/7

Grace wants to frame a square picture which has a area of

950 square inches.


How long is each side of the picture?

She has another square picture with an area of 1200 square inches.
How long is each side of this picture?

Answers

Answer:

First Picture: Length = 30.82in

Second Picture: Length = 34.64in

Step-by-step explanation:

Given

Picture 1:

Area = 950in²

Picture 2:

Area = 1200in²

Required

Determine the length of each pictures

From the question, we understand that both pictures are square in shape and the area is calculated as thus:

Area = Length²

For the first picture, substitute 950 for Area

This gives:

950 = Length²

Length ² = 950

Take square root of both sides

Length = √950

Length = 30.8220700148448822

Length = 30.82 (approximated)

Hence, the length of the first picture is 30.82in

For the second picture, substitute 1200 for Area

This gives:

1200 = Length²

Length² = 1200

Take square root of both sides

Length = √1200

Length = 34.6410161513775458

Length = 34.64 (approximated)

Hence, the length of the second picture is 34.64in

two frights of twenty five is decreased by three

Answers

Answer:

Yes

Step-by-step explanation:

HOW DO I DO THIS PLEASE SOMEONE SOLVE IT AND I WILL MARK BRAINLIST!! PLEASE ITS DUE TODAY. LOOK AT THE IMAGE ABOVE

Answers

The 2 rectangles and triangles are similar to each other, so the corresponding sides between the same shape are proportional.

For the rectangle, 10 is 1 2/3 times greater than 6, so x is 12 times 1 2/3, which is 20. You can also think of it as 12 is 2 times 6 on the left rectangle, so x on the right rectangle is 2 times 10

For the triangle, the corresponding sides are NP and XZ, and XZ is 13 times as large as NP. The corresponding side to PO is ZY, and 7 times 13 is 91, so w is equal to 91.

x-intercept (0,-7)
Y-intercept (2,0)
Are my answers right ?

Answers

Well the numbers are right, but not the order.

First the x-intercept is (-7,0) not (0,-7) ---- It's (x,y) though ---------

Second the y-intercept is (0,2) not (2,0)

You got them swapped but the numbers are correct anyway.

Ricky and Sam each bought a remote control car for $80. A few months later they both sold it. Ricky sold his car for 25% less than the original price and Sam sold his car for 30% less than the original price. How much more did Ricky get than Sam?

Answers

Answer:

4

Step-by-step explanation:

25/100 x 80/1 = 20/1

80 - 20 = 60

30/100 x 80/1 = 24/1

80 - 24 = 56

60-56=4

Jackie won tickets playing the bowling game at the local arcade. The first time, she won 6 tickets. The second time, she won a bonus, which was 4 times the number of tickets of the original second prize. Altogether she won 200 tickets. How many tickets was the original second prize?

Answers

Answer:

it might be 48 tickets.

The head coach ordered 8 pizzas and 3 orders of pasta for her team, costing a total of $120. The JV coach ordered 6 pizzas and 4 orders of pasta for his team, costing a total of $104. Let x, be the cost of pizza, and y be the cost of the pasta.


a) What is the price for a single pizza? and single order of pasta? Show your work for full credit.
PLEASE HELP ME

Answers

Answer:

x = 12 and y = 8

Therefore:

1 pizza = $12

1 pasta = $8

Step-by-step explanation:

Sharon drove 270 miles in 4.5 hours. If she drove at a constant rate, how fast was Sharon driving?

Answers

Answer:

Sharon was driving 60 miles per hour.

Step-by-step explanation:

To solve this you must divide both the amount of miles (270) and the amount of hours (4.5) by the amount of hours so that way you can see how many miles per hour you are going.

4.5 / 4.5 = 1

270 / 4.5 = 60

This means that Sharon was driving 60 miles per hour.

5) y=-2
4x – 3y = 18
This

Answers

Answer:

x=3

Step-by-step explanation:

if y is -2, 3*-2 =-6, 4x-(-6) = 4x+6=18

18-6=12

12/4=3

x=3 I hope you learned something

The shape below has both reflectional and rotational symmetry true or false

Answers

Answer:

False

Step-by-step explanation:

This shape does not have reflectional symmetry because you can't draw a line have both sides look identical.

Answer:

False

Step-by-step explanation:

sure it has Rotational but a Reflection no

Other Questions
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