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

Jimmy is interested in purchasing some yellow and red flowers for his mother's birthday. He visits a local floral shop and gift shop. Both businesses have a variety of flowers from which he can choose. Which answer best describes the sample and population

Answers

Answer:

ll available yellow and red flowers at the two businesses

Population: all available flowers at the two businesses

Step-by-step explanation:

The sample and population should be sample represents all yellow and red flowers while the population represents all flowers.

What are the sample and population?

The entire group about whom you want to make conclusions is referred to as a population. The particular group from which you will gather data is known as a sample. The sample size is always smaller than the population as a whole. A population in research doesn't usually refer to humans.

An entire group from which a conclusion should be derived is referred to as a population. The sample, on the other hand, refers to the population from which the data is drawn.

So based on this, we can say that the sample represents all yellow and red flowers while the population represents all flowers.

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I need help fast please

About 8% of canada is covered in fresh water
the area of canada is approximately 9,970,000km
a calculate the area covered in fresh water
b how much of canada is not covered in fresh water
23%of canada is covered in tundra estamaite tundra covered area

thanks ​

Answers

Answer:

797600km, 9172400 km, 2293100 km

Step-by-step explanation:

a. to find the amount of canada covered in fresh water, multiply 9970000 by 0.08 to get 797600km

b. the amount not covered by fresh water is 9970000-797600 which equals 9172400 km

c. multiply area of canada by 0.23 which is 2293100 km

just in case you might want to double check the zeros to make sure i did it right

Answer:

a. 797,600 km²

b. 9,172,400 km²

c. 2,293,100 km²

Step-by-step explanation:

To find a percent of a number, multiply the percent by the number. First, change the percent into a decimal number by moving the decimal point of the percent 2 places to the left. For example, 42% = 0.42; 7% = 0.07

Part a.

8% of 9,970,000 km²

Step 1. Multiply the percent by the number

8% of 9,970,000 km² = 8% × 9,970,000 km²

Step 2. Change the percent into a decimal number by moving the decimal point of the percent 2 places left.

8% of 9,970,000 km² = 8% × 9,970,000 km² = 0.08 × 9,970,000 km²

Step 3. Use a calculator or long division to do the multiplication.

0.08 × 9,970,000 km² = 797,600 km²

Answer: a. area covered in fresh water is 797,600 km²

Part b.

Subtract the area of part a. from the total area of Canada.

9,970,000 km² - 797,600 km² = 9,172,400 km²

Answer: b. area not covered in fresh water is 9,172,400 km²

Part c.

Tundra is 23% of total area.

23% of 9,970,000 km²

Step 1. Multiply the percent by the number

23% of 9,970,000 km² = 23% × 9,970,000 km²

Step 2. Change the percent into a decimal number by moving the decimal point of the percent 2 places left.

23% of 9,970,000 km² = 23% × 9,970,000 km² = 0.23 × 9,970,000 km²

Step 3. Use a calculator or long division to do the multiplication.

0.23 × 9,970,000 km² = 2,293,100 km²

Answer: a. area covered in tundra is 2,293,100 km²

Read the scenario. 3. Joelle is sewing a new outfit. One pattern piece is 4 in. long. The piece has a seam allowance of in. How long will the piece be after it is sewn? Hint: the seam allowance is how far in from the edge of the piece you sew. It reduces the overall size of the pattern piece. Show the solution to the problem using a horizontal number line. + + 1 O + 2 3. Length of Pattern Piece (in.) 4. 5 Answer:​

Answers

Answer: i think its 4.6 because i am doing the same problem and 4.6 looks the best answer.

Step-by-step explanation: you can also add 4+5/8 or 4+0.625 and you get 4.625 and 4.625 simplified is 4.6

Students and adults purchased tickets for a recent Math Fun Night fundraiser. 350 tickets were sold and $2,950 was collected. Each student ticket sold for $5 and adult tickets were sold for $10 each. How many adult and student tickets were sold? Let x=_______ Let y=______. I have no idea how to solve this, maybe you can help? If so, start off with the let statements and can you send the steps along with it too?

Answers

Answer:

fun one

110 student tickets

240 adult tickets

Step-by-step explanation:

what i did is use two equations

x+y<= 350

and 5×+10y<3950

graph both on desmos or smash them together to find x and y and you get 110 student tickets and 240 adult tickets

2+4=? what does ? equal?

Answers

Answer:

= 6

Step-by-step explanation:

2+4 = 6

hope this helps.

ANSWER :

2+4 = 6

Step-by-step explanation:

Thanks for free point lol

Find the measures of angles x and y in the figure.

Answers

Answer:

y = 35

x = 75

Step-by-step explanation:

Angles on a straight line = 180, so 180 - 45= 135.

Angles in a triangle = 180, so 180-105 = 75.

Anyone got any ideas?

Answers

Answer: 36

Step-by-step explanation:

AB = 16 cm

BC = CA = 10 cm

so it's 16 + 10 + 10 = 36

36 is ur answer sorry if wrong

Type your number answer in decimal form. Do not round.

0.6 kilograms = _______ grams.

Answers

0.6 KL = 600 grams

you can always use the ladder method

Eric cut 8.56 meters of rope. Before cutting it, he had 14 meters of rope. How much rope does Eric have left?

Answers

Answer:

5.44 METERS OF ROPE

Step-by-step explanation:

If h(x) = 15x - 171, find h(3)

Answers

H(3) means to replace x in the equation with 3 and then solve:

15(3) - 171

45-171

-126

Answer: -126

what is The answer?

Answers

The answer is 58x+28

Sorry if it’s wrong

Answer:

134

Step-by-step explanation:

Which graph is right?

Answers

Answer:

B

Step-by-step explanation:

A "or equal to" sign always contains a black colored in circle... With it's pointy end pointing at which direction it is being located.

A grid is 10 squares high and 10 squares wide. The distance between each grid square is 3 feet. The triangular viewing area of camera is shown. The right triangle has 2 sides with lengths of 5 grid squares. The area of the triangle is 112.5 feet squared.
Alan wants to install security cameras in his store, which has dimensions of 30 feet by 30 feet. Each camera can view an area of approximately 112.5 ft2, with a viewing area shaped like a right triangle.


How many cameras will be necessary to cover the entire store?

.

If he places cameras only in the corners of the store, how much area is left uncovered?

ft2.

Answers

Answer:

1) 8

2) 450 ft^2

Step-by-step explanation:

Each triangle takes half a square worth of space, so if you add up 2 triangles for 1 square that is 1/4 of the area, multiply that by 4 and you get 8 cameras.

The left over space in the store is the same amount of space as all the cameras space added together since each camera takes up half a square. That way 4 cameras(each 112.5 ft^2 each) equals 1/2 of the room which added together is 450 ft^2, the other half would be the left over space, 450 ft^2.

1) The cameras will be necessary to cover the entire store are 8

2) The area  left uncovered is 450 ft^2

Each triangle takes half a square worth of space, so if you add up 2 triangles for 1 square that is 1/4 of the area, multiply that by 4 and you get 8 cameras.

What is the area of the triangle?

The area of the triangle is

[tex]=\frac{1}{2}\times height \times base[/tex]

The leftover space in the store is the same amount of space as all the camera's space added together since each camera takes up half a square.

That way 4 cameras(each 112.5 ft^2 each) equals 1/2 of the room which added together is 450 ft^2, the other half would be the leftover space, 450 ft^2.

1) The cameras will be necessary to cover the entire store are 8

2) The area  left uncovered is 450 ft^2

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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

How to find area of a circle.

Answers

Answer:

A rea of a Circle = π × r²

Step-by-step explanation:

The area of a circle formula is A = π × r² where r is the radius.

Remember that the radius might not be given but the radius is half of the diameter.

For π use the calculator value or use 3.14.

If 5 gallons of gas cost $7.79, how much
will 7 gallons cost?

Answers

Answer:

$10.91

Step-by-step explanation:

7 gallons cost:

[tex](\frac{7.79}5}) (7)=\frac{(7.79)(7)}{5} =10.906[/tex]  

rounded to cents: 10.91

I hope this help you

the answer is $10.91 for seven gallons, if u divide 7.79 by 5 it will give you the cost per gallon then once multiplied by how many gallons you will get the correct answer.

add the following rational number =
3/11 and -5/12

Answers

Answer:

-19/132

Step-by-step explanation:

To add fractions, find the lowest common multiple of the two denominators and multiply accordingly to make both denominators the same. In this case, the lowest common multiple of 11 and 12 is 132, so we need to multiply the first number by 12 and the second by 11. So we get [tex]\frac{36}{132} + (-\frac{55}{132} )[/tex] = [tex]\frac{36-55}{132}[/tex]=[tex]\frac{-19}{32}[/tex][tex]-\frac{19}{132}[/tex]

22 meters per second in kilometers per hour.

Answers

Answer:

79.2 kilometres per hour

Step-by-step explanation:

1 km = 1000 m

1 hr = 3600 sec. To convert km/hr into m/sec,

We multiply the speed which in this case is 22m/s

by 3.6 giving 79.2 kmh. Therefore 22m/s into kilometer is 79.2 kmh.

Harrison has 12 coins in quarters and nickels. He determines that they have a total value of $2.00.
a) Write a system of equations that could be used to find the number of each coin he has.

Answers

Answer:

See below

Step-by-step explanation:

Let the number of nickels is n, number of quarters is q.

We know that:

Nickel = 5¢, quarter = 25¢, $2 = 200¢

As per given we can set the following system:

n + q = 125n + 25q = 200

Solving this we get:

n = 5, q = 7

Maribel will borrow $6250 at 13.5% APR. She chooses to pay it back in 2 years.

What will her monthly payment be? Use the table.

Use the rate table to figure out the monthly payments per one hundred dollars.

Answers

At a rate of 13.5% the interest per $100 is $ 4.778 per month.

Therefore, for two years the payment will be

$4.778 × 24 = $114.672 per $ 100

Therefore, the interest for a principal $6250 for two years;

(6250/100) × 114.672

= $7167

The monthly payment would therefore be

7167/24

= $298.625

≈$298.63

Find the slope of the line give the following point on the line:


(-1, -9) and (-5, 1)

Answers

Answer:

-8/3

Step-by-step explanation:

plz help ill give brainliesy

Answers

Answer:

0.02a

Step-by-step explanation:

Since 0.02 is equal to 2 cents, he would get 0.02a annually. This is because a represents the income from interest and 0.02 is the amount of money made for interest.

Drwa the staright line y = 2x-3

Answers

Answer:

The equation y = 2x - 3 represents a line with a slope of positive 2, and a y-intercept of -3.

Hope it helps :)

You would start at -3 on the number line and then move up 2 units and 1 unit right since your slope is 2/1

pls help me out
6x + 12x = 90

Answers

Answer:

x=5

Step-by-step explanation:

6x+12x=90

18x=90

x=90/18

x=5

Answer:

x =5

Step-by-step explanation:

To solve for x:

1: add like-terms

          6x+ 12x = 90

Now it is:  18x =90

2: use division on both sides to solve for the variable

           18x= 90

           18x/18 = 90/18

              x = 5

i need a answer ASAP
i give extra points and brainliest and i will help you if you give me the answer!

Solve: 6 3/7 - 1 3/6
its mixed number fractions im having a really hard time with it pls help

A: 4 7/13
B: 4 39/42
C: 7 7/13
D: 7 39/42
Again, no links please! and explanation is optional.

Answers

Answer:

Option B is correct.

Step-by-step explanation:

6 3/7 = 45/7

1 3/6 = 9/6 = 3/2

=> 45/7 - 3/2

=> 90/14 - 21/14

=> 69/14

=> 4 13/14

Therefore, Option B is correct.

it is b:4 39/42 ilysm

Which numbers are a distance of 2 units from 8 on a number line?

Answers

Answer: 6 & 10

Step-by-step explanation:

6 and 10 are 2 units away from a positive 8 on the number line

The age structure of a population is often represented by a pyramid. What does an age structure pyramid with a broad base and a narrow top indicate about a population

Answers

Answer:

The shape of the pyramid does not provide information on population growth

Lee earns $17.00 per hour at her job. How much money will Lee earn if she works for 4 hours?

Answers

Lee would earn 68 dollars if she worked 4 hours
He would earn $68 if he worked fo 4 hours

16.3 divided 90

pls answer...

Answers

Answer:

Calculator

Step-by-step explanation:

Fraction: 163/900

Decimal: 0.1811111

Four-Fifths of p added to the product of 6 and h as a expression

Answers

Answer:

4p/5 + 6h

Step-by-step explanation:

this is the answer

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