In the game of Scrabble, each player begins by drawing 7 tiles from a bag containing 100 tiles. There are 42 vowels, 56 consonants, and 2 blank tiles in the bag. Cait chooses her 7 tiles and is surprised to discover that all of them are vowels. Can we use a binomial distribution to approximate this probability?

Answers

Answer 1

Considering the hypergeometric variable, it is found that since the population size is less than 20 times the sample size, the binomial distribution cannot be used.

The tiles are chosen without replacement, hence, the hypergeometric distribution is used.

The population is composed by the 100 tiles.The sample is composed by 7 tiles.

The hypergeometric distribution can be approximated to the binomial if the population size is at least 20 times the sample size.

[tex]\frac{100}{7} = 14.28 < 20[/tex]

Hence, the binomial distribution cannot be used.

A similar problem is given at https://brainly.com/question/25743676


Related Questions

Find the total surface area of these solids

Answers

Step-by-step explanation:We firstly find the surface area of only one face of the cube:Sa=a²Sa=1.2²cmSa=1.44cm²

Since the cube has 6 faces we multiply the surface area of one face(144cm²) with 6

Area(cube)=1.44cm²*6

=8.64cm²

Same thing with the prism but we have to find the area of one of his triangle face and rectangle face

S(triangle)=5mm*4mm*1/2

=10mm²

S(rectangle)=7mm*5mm=35mm²

The prism has 2 triangle faces and three rectangle faces so we multiply the area by those numbers and then we add those together to get the final area

S=10mm²*2+35mm²*3

S=20+105

S=125mm²

Hope this helped..Hope this helped..Brainliest pls..

Find the equations of a line through these 2 points
(1,2) & (3,5)
2. (-2,0) & (0,8)
3. (4,-5) & (11,-5)
4. (6,2) & (9,3)
6. (6,2) & (10,3)
5. (7,5) & (6,11)

Answers

answer is 2.2 66 88862 u88272


Which number represents
27,860,000 using scientific notation ?

Answers

Answer:

B. 2.786 x 10 ^ 7

Step-by-step explanation:

For scientific notation you have 1 number to the left of the decimal point and 10 gets raised to the power of the number of decimal places it takes to get that one number.

ordered pairs on a vertical line have the same y coordinate. true, sometimes true or not true?

Answers

Pretty sure it’s not true

I’m a vertical line, they will always have the same x axis, but never the same y axis

Rashad wants to buy a TV which is $235. He already has $35. If he saves $25 a week. For at least how many weeks he has to save money so that he can buy the TV?

Answers

8 weeks. 235-35 = 200 200/25 = 8


[tex]if \: \sqrt{2} + \sqrt{3} \div 3 \sqrt{2} - 2 \sqrt{3} = x + \sqrt{6y} \: find \: the \: value \: of \: x \: and \: y[/tex]

Answers

Given info:- [tex]\textsf{If (√3+√2)/(3√2-2√3) = x+y√6,} [/tex]

[tex]\textsf{then find the value of x and y?}[/tex]

Explanation:-

[tex]\textsf{Consider LHS=}\\[/tex]

[tex] \rm \: \frac{ \sqrt{2 } + \sqrt{3} }{3 \sqrt{2} - 2 \sqrt{3} } \\ [/tex]

[tex] \rm \: = \frac{ \sqrt{2 } + \sqrt{3} }{3 \sqrt{2} - 2 \sqrt{3} } \times \frac{3 \sqrt{2} + 2 \sqrt{3} }{3 \sqrt{2} + 2 \sqrt{3} } \\ [/tex]

[tex] = \rm \: \frac{( \sqrt{2 } + \sqrt{3} )(3 \sqrt{2} + 2 \sqrt{3} )}{(3 \sqrt{2} - 2 \sqrt{3})(3 \sqrt{2} + 2 \sqrt{3}) } \\ [/tex]

[tex] \rm \: = \frac{3 \sqrt{2 \times 2} + 2 \sqrt{3 \times 2} + 3 \sqrt{2 \times 3} + 2 \sqrt{3 \times 3} }{(3 \sqrt{2} {)}^{2} - (2 \sqrt{3} {)}^{2} } \\ [/tex]

[tex] \rm = \frac{3 \times 2 + 2 \sqrt{6} + 3 \sqrt{6} + 2 \times 3}{18 - 12} \\ [/tex]

[tex] \rm \: = \frac{12 + 5 \sqrt{6} }{6} \\ [/tex]

[tex] \rm \: = 2 + \frac{5}{6} \sqrt{6} \\ [/tex]

[tex] \rm \therefore \: 2 + \frac{5}{6} \sqrt{6} = x + y \sqrt{6} \\ [/tex]

[tex]\textsf{On, comparing with RHS we notice that:}\\[/tex]

[tex]\textsf{the value of x = 2 and y = 5/6.}\\[/tex]

[tex]\bf{Read more:}[/tex]

[tex]\textsf{Similar questions}\\[/tex]

[tex] \sqrt{6} + \sqrt{11} \div \sqrt{5} + \sqrt{3} [/tex] A. [tex] \sqrt{30} + 3 \sqrt{2} + \sqrt{55} + \sqrt{33} \div 8[/tex] B. [tex] \sqrt{30} - 3 \sqrt{2} ...

https://brainly.com/question/8346905?referrer

help with the problem in picture ​

Answers

Answer:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Step-by-step explanation:

Jill lives 3 1/2 miles from school. One morning, her friend was giving her a ride. When they were 2/3 of the way to school, their car broke down and they had to walk the rest of the way. Draw a picture to help you figure out how far they walked.

Answers

We want to find the distance that Jill and her friend must walk, we will see that the distance is (1 + 1/6) miles

So the total distance of the travel is:

(3 + 1/2) miles.

2/3 of that distance are made in the car, then the other 1/3 is the distance that they must walk. A rough sketch of the situation is shown at the end.

Then we must solve:

(1/3)*(3 + 1/2) miles = ((1/3)*3 + (1/3)*(1/2)) miles

= (1 + 1/6) miles

So the distance that they must walk is (1 + 1/6) miles

If you want to learn more, you can read:

https://brainly.com/question/14709125

Megan rolls a ball down a ramp until the ball hits the wall.

Answers

cool the answer is y because she spend that

HELPPPPPP!!!!!!!!!!!!!!!

Answers

Answer:

I might be wrong i think its C but double check and dont put it in until you are sure its right

Step-by-step explanation:

Find x-intercept and y - intercepts of y = 6x – 1

Answers

Answer:

Look at photo

Step-by-step explanation:

fully simplify 124:72:48

Answers

Answer:

31:18:12

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

ANSWER QUICKLY WILL GIVE BRAINLIEST

Answers

Answer:

\sqrt(3)[cos((4\pi )/(45))+isin((4\pi )/(45))]

Step-by-step explanation:

The first one.

How to convert rectangular to polar.

Answers

Answer:

To change a rectangular equation to a polar equation just replace x with r cos θ and y with r sin θ .

simplify 2 by 5 into 4 by 7 + 21 by 35​

Answers

Solution:

[tex] \frac{2}{5} \times \frac{4}{7} + \frac{21}{35} \\ = \frac{8}{35} + \frac{21}{35} \\ = \frac{8 + 21}{35} \\ = \frac{29}{35} [/tex]

Answer:

[tex] \frac{29}{35} [/tex]

Hope it helps.

Do comment if you have any query.

the admission fee at an amusement park is $3.50 for children and $7.20 for adults. on a certain day, 344 people entered the park, and the admissions fees collected totaled $1870. How many children and how many adults were admitted

Answers

Answer:

180 adults, 164 children

Step-by-step explanation:

Assuming all the people admitted are children,

total fees collected

= 344($3.50)

= $1204

Difference in amount collected

= $1870 -$1204

= $666

This difference in amount is due to the extra cost from each adult admission fee that we assumed to be children.

Difference in each admission fee

= $7.20 -$3.50

= $3.70

Number of adults admitted

= $666 ÷$3.70

= 180

Number of children admitted

= 344 -180

= 164

PLEASE HELP!! I WILL MARK BRAINLIST IF RIGHT!! Using the graph above, how many hours would it take to drive 262.5 miles? (Picture below)

Answers

Sheeeeeeeeeeeeeeeeesh
Well the line is increasing by every two boxes so since the 8th hour is 200 miles, 250 would be the 10th since every 50 miles is an hour. And personally I would say 262.5 miles would be 10.5 hours

When an object moves in a circle the __________ of the object is continually changing. What is the missing word in this sentence?

Answers

Answer:

velocity

Step-by-step explanation:

The velocity of the object is continually changing.  This velocity is the slope of the tangent line to the curve at a given point on the curve.

The corrected sentence is: When an object moves in a circle, the velocity of the object is continually changing.

What is a circular motion

Circular motion involves not only changes in the object's orientation or direction but also changes in its velocity.

Velocity includes both the speed of the object's movement and its direction. As an object moves around a circle, even if it maintains a constant speed, its velocity is changing because the direction in which it is moving is always changing.

This change in velocity is what allows the object to maintain its circular path rather than moving in a straight line.

Learn more about Velocity

https://brainly.com/question/25905661

#SPJ3

i) Factorise x^2 - x - 20

Answers

[tex](x + 4)(x - 5)[/tex]

hope it helps

#carryonlearning

see the attachment for the explanation

Directions: Tell whether the following is a quadratic inequality or not.
1. y = 4x2 + 3x + 9 = ____________________________
2. m + 4 > 0 = ____________________________
3. m2 + 3m + 2 < 0 = ____________________________
4. �� ≤ (x - 5) = ____________________________
5. b2 -14b -15 < 0 = ____________________________
6. (4d2-9) + (2d +3) > 0 = ____________________________
7. x > 8x = ____________________________
8. 0 > 2x2 - 262 = ____________________________
9. n2 +4n =21 = ____________________________
10. 15 – 4p ≥ 10p2 = ____________________________

Answers

Anser

(b2 – 4ac). sorry if this doesnt help it doesnt make sense on my screen it shows a weird equation

Step-by-step explanation:

help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

1. No

2. No

3. No

4. Yes

Step-by-step explanation:

Insert each y value into the equation. If it equals -14, then it is a solution to the equation. The only one of these y values that is a solution is the last one, -2.

8 * (-2) = -16

-16 + 2 = -14

So y = -2 is a solution.

9000 is borrowed at 4.5% rate of interest pa for 2 years. Find the amount to be paid at the end of the second year? pleasee need answer fastt

Answers

Answer:9810

Step-by-step explanation:

S.I. = PRT/100

9000 ×4.5 × 2/100

S.I = 810

Amount after 2 years = 9000+810

= 9810

Without calculating, explain how you can tell if the value of the expression (-2.37) - (.7.91) - (2.45)?

Answers

Answer:

33343555

4

3

4

34

2354555444

5224

34

32555555

555

5

32

55233=3=44

Step-by-step explanation:

2 The salary of 157 employees in an office for a month is 710, 582, what is the annual salary of 1 employee, assuming all are paid equally​

Answers

Answer: $4526

Step-by-step explanation:

Ratio of employees to cash

157:710528

Divide both sides by 157 to find how much 1 employees is paid

1: 4526

Answer:

710 582 - salary of all employees in a month

157 - number of employees

The monthly salary of each employee is 4526.

The 4526 is obtained by dividing the salary of all employees to their number which is 157.

The question is, "What is the salary of 1 employee assuming all are paid EQUALLY?"

To get it, just multiply 4526 into 12 (annually). So the answer is 54312

Pls help me asap!! Only answer if u know the correct answer! Thanks! :)

Answers

The answer would be 168 ft tall!

Step by step:

If each floor is 12 ft high, then we can multiply any number by that to get the ft high.

Since there is 14 floors, we can multiply it by 12.

Hope this helped!! :)

12*14=168

Hope this helps!

Match each linear equation to its slope and y-intercept.
slope:2, y-intercept:
-3+5y = 4
slope:2, y-intercept: 2
5y-1 =15
slope:$, y-intercept:
2y-3.1 = 7
slope:6, y-intercept: 3
2y=5T+7
slope:-5, y-intercept: 5

Answers

Answer:

-x + 5y = 4

5y = x + 4

y = x/5 + 4/5

Slope: 1/5

Y-intercept: 4/5

5y - x = 15

5y = x + 15

y = x/5 + 3

Slope: 1/5

Y-intercept: 3

2y - 3x = 7

2y = 3x + 7

y = 3/2x + 7/2

Slope: 3/2

Y-intercept: 7/2

2y = 5x + 7

y = 5/2x + 7/2

Slope: 5/2

Y-intercept: 7/2

For A brainly please help me out

Answers

Answer: 2, 2

Brainly?

Last year, 120 students were sick at school. This year, 20% fewer students are sick. How many students are sick this year?

PLZ PLZ PLZ explain step by step.​

Answers

First find how many students are sick the second year:
0.20 × 120 = 24
Then all you need to do is subtract:
120 - 24 = 96
So the number of students that got sick this year is:
96 students

Mai skated x miles, and Clare skated farther than that. Write an expression for the distance Clare skated. Write an equation to represent the relationship between the distance Mai skated (x) and the distance Clare skated (y).
Whats the answer?

Answers

Answer:

X over y or x/y since y is claire and she skated more

Step-by-step explanation:

Pls brainliest

(sin30° + cos30°) – (sin 60° + cos60°)​

Answers

Answer:

0

Step-by-step explanation:

Sin 30° = ½

Cos 30° = √3/2

Sin 60° = √3/2

Cos 60° = ½

Therefore,

(½ + √3/2) - (√3/2 + ½)

[tex] \frac{1 + \sqrt[]{3} }{2} - \frac{ \sqrt{3 + 1} }{ 2 } [/tex]

[tex] \frac{1 + \sqrt{3} - \sqrt{3} - 1}{2} [/tex]

[tex] \frac{0 - 0}{2} [/tex]

Answer: 0

For more information on trigonometric refer to this link

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