In a cookie jar there are 9 sugar cookies and 12 snickerdoodle cookies. The cookie are randomly mixed together in the jar. What is the probability of pulling two of the same types of cookies out of the cookie jar in a row without replacement?

Answers

Answer 1

Answer:

The probability of pulling two of the same types of cookies in a row without replacement is [tex]\frac{51}{105}[/tex].

Step-by-step explanation:

There are a total of 21 * 20 = 420 different outcomes (After you take one cookie out, you aren't replacing it, so there will be 20 cookies in the jar on the second grab). There are a total of 9 * 8 = 72 different combinations of two sugar cookies, and 12 * 11 = 132 different combinations of two snickerdoodle cookies, so the total probability of pulling two of the same types of cookies in a row without replacement is [tex]\frac{132+72}{420} = \frac{204}{420} = \frac{51}{105}[/tex].


Related Questions

A box of cards has 12 birthday cards. Each card weighs 2 ounces. How much do the 12 cards weigh?
A. 1 pound 4 ounces
B. 1 pound 8 ounces
C. 2 pounds 4 ounces
D. 2 pounds 8 ounces

Answers

Answer:

B. 1 pound, 8 ounces!

Step-by-step explanation:

12 x 2ounces =24 ounces

16 ounces is one pound so 24-16=8 ounces left over. 1 pound, 8 ounces

You are a school photographer taking individual and class pictures for 2 classes of 21 students each. On average, each individual picture takes 3 minutes and a class picture takes 10 minutes. About how long should it take you to take all of the pictures? A 1 hour 3 minutes B 1 hour 13 minutes C 2 hours 6 minutes D 2 hours 16 minutes E 2 hours 26 minutes

Answers

Answer:

C 2 hours

Step-by-step explanation:

hope it's helpful

thank you

HELPPPPPPP ME PLSSSSSSS

Answers

Answer:

answer to your question is 200.96cm^2 but you can round off and write 201cm^2

Step-by-step explanation:

area of circle =pie*(radius)^2

=3.14*(8)^2

=3.14*64

=200.96^2

=201cm^2

Hope it helps u!!

Formula for Area of the circle: A= radius^2(pi)
Answer: A= 64pi or A= 200.96 cm^2

which equation shows a way to find 3,075÷15
please help me fast if possible! ​

Answers

Answer:

C

Step-by-step explanation:

3075 ÷ 15 = 205

3000 ÷ 15 = 200

75 ÷ 15 = 5

200 + 5 = 205

Mark as Brainliest

A quantity with an initial value of 790 decays continuously at a rate of 35% per week. What is the value of quantity after 28 days, to the nearest hundredth?

PLEASE HELP!!!!

Answers

Answer:

194.81

Step-by-step explanation:

Two airplanes leave an airport at the same time, the first headed due north and the second at a bearing of N42^ E . At 2:00PM, the first airplane is 312 miles from the airport while the second airplane is 487 miles from the airport. Assuming both followed linear paths from the airport, how far apart are the two airplanes at 2:00PM?

Answers

Answer:

The two airplanes are about 330miles apart.

Step-by-step explanation:

The diagram interpreting the question has been attached to this response.

As shown in the diagram,

i. the airplanes leave at point C.

ii. at 2.00pm the first and second airplanes are at points A and B respectively, where they are 312miles and 487miles away from the starting point C in directions due north and N42E from the point C.

iii. the points A, B and C form a triangle with sides a, b and c.

To solve for the value of c which is the distance between the two planes at 2.00pm, the cosine rule is used.

c² = a² + b² - 2abcosC            --------------(i)

where;

b  = 312miles

a = 487miles

C = 42°

Substitute these values into equation (i) and solve as follows;

c² = (487)² + (312)² - 2(312)(487)cos(42)

c² = (237169) + (97344) - 303888cos(42)

c² = (237169) + (97344) - 303888(0.7431)

c² = 334513 - 225819.1728

c² = 108693.8272

Take the square root of both sides

√c² = √108693.8272

c = 329.69

c ≅ 330miles

Therefore, the two airplanes are far apart by 330miles

Write 2 1/6
feet as a
single fraction greater than one.

Answers

Answer:

13/6

Step-by-step explanation:

2 x _/6 = 12/6, then add 1/6 and you have 13/6

Find the 10th term of the geometric sequence show below
–8x6, -40x8, –200x10,
•••

Help

Answers

Answer:

-15625000x^24

Step-by-step explanation:

Is this statement true or false?
The unpaid balance is the sum of the previous balance and the new charges.

Answers

Answer: true

Step-by-step explanation:

HELP ME OUT

Which equation represents the proportional relationship represented by the table?


A) y = 4x

B) y=x+4

C) y= 1/4x

D) y=x - 4​

Answers

Answer:

y=1/4x

Step-by-step explanation:

each y is 1/4 of the x value

Determine the null hypothesis and the alternate hypothesis: ************************** The August 2008 edition of Academy of Management Journal featured an investigation of the performance and timing of corporate acquisitions. The investigation discovered that in a random sample of 2778 firms, 748 announced one or more acquisitions during the year 2000. Does the sample provide sufficient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is less than 30%

Answers

Answer:

Following are answer to these question:

[tex]\LARGE H_0: p = 30 \%\\\\\LARGE H_A: p < 30 \%[/tex]

Step-by-step explanation:

Even though researchers try and check whether the real percentage of all companies announcing one or more purchases that year 2000 is less than 30%, the invariant hypothesis therefore becomes as follows:

[tex]\LARGE H_0: p = 30 \%\\\\\LARGE H_A: p < 30 \%[/tex]

It is desired to convert from slow sand filters to high-rate filters. The slow sand filters operate at a rate of 10 million gallons/acre-day and have a total area of 15 acres. Assuming the high-rate filters are rated for 6 gpm/ft2, and each filter has an area of 1,000 ft2, how many filters are required

Answers

Answer:

Total 17 high rate filters are required

Step-by-step explanation:

Given -

Rate of filtration of slow sand filters = 10 million gallons/acre-day

Total million gallons of water filtered per day = 10 million gallons/acre-day * 15 acres

= 150 Million gallons per day

Rate of filtration of high rate filters = 6 gpm/ft2

Area of one high rate filter = 1,000 ft2

Volume of water filtered by 1 high rate filter is 6 gpm/ft2 *1,000 ft2 = 6000 gallons per minute  = 8640000 gallon per day

Number of filters required = 150 million gallons per day /8640000 gallon per day

150 * 10^6/8640000

17

Total 17 high rate filters are required

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

7

Step-by-step explanation:

Given :

A right angled triangle with one angle 64° and side 15 .

And we need to find the value of x to the nearest tenth. So the correct approach will be ,

[tex]:\implies[/tex] tan 64° = p/b

[tex]:\implies[/tex] tan 64° = 15/x

[tex]:\implies[/tex] x = 15 / tan64°

[tex]:\implies[/tex] x 7

He commited a mistake in 2nd step. He should have written 15/ tan64° .

Hence the correct answer is 7 .

What is the value of In e^4?​

Answers

Answer:

4

Step-by-step explanation:

The easiest way to solve this is just to put it in your calculator.  

But if you want to go deeper, then ln(x)^4 = 4*ln(x)

Since x in this case = e then ln (e)^1 = 1.

ln(e)^4 = 4*ln(e) = 4

A sixth grade class recorded the number of letters in each students first name. The results are shown in the dot plot. Which is the best representation of the center of this data set?

Answers

Answer:

the center of the data set is 7 so probably 7

7 is the best representation of the center of given data set.

The correct answer is an option (C).

What is center of data?"It is the middle of a distribution.""Mostly, The measures of the center of the data are the mean and the median."What is mean?

"It is the average of the given numbers."

What is median?

"I is the middle value of a sorted list of numbers."

For given question,

We have been given a dot plot of the number of letters in each students first name.

From the given dot plot,

We have data as 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6,6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 10, 10, 11, 11, 11

From above data,

the total number of students in the class are n = 30

We write 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6,6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 10, 10, 11, 11, 11 as 3, (4 × 2), (5 × 4), (6 × 7), (7 × 7), (8 × 3), 9, (10 × 2), (11 × 3)

So, the mean of the above data would be,

[tex]\Rightarrow \bar{X}=\frac{3+ (4\times 2)+(5\times 4)+(6\times 7)+(7\times 7)+(8\times 3)+9+(10\times 2)+(11\times 3)}{30}\\\\\Rightarrow \bar{X}=\frac{208}{30}\\\\\Rightarrow \bar{X}=6.93\\\\\Rightarrow \bar{X}\approx 7[/tex]

From above data we can observe that there are two numbers in middle of the data 6 and 7.

So, the median would be,

[tex]\Rightarrow M=\frac{6+7}{2}\\\\\Rightarrow M=6.5\\\\\Rightarrow M\approx 7[/tex]

Therefore, 7 is the best representation of the center of given data set.

The correct answer is an option (C).

Learn more about the center of the data here:

https://brainly.com/question/17090777

#SPJ3

Match the values with the statistical measures for these data points. 34,37,39,32,48,45,53,62,58,61,60,41

Answers

Answer:

I do not know the full answer, But I do know this;

Maximum: 62

Minimum: 32

Step-by-step explanation:

finding the slope to points​

Answers

can you please put the points

Please help will give brainliest


The point C (-3,-1) is rotated 180 clockwise around the origin.


What are the coordinates of the resulting point, C'?

Answers

Answer: [tex](3,1)[/tex]

Step-by-step explanation:

Given

The point C [tex](-3,-1)[/tex] is rotated [tex]180^{\circ}[/tex] clockwise about the origin

If a point is rotated [tex]180^{\circ}[/tex] about the origin, then the sign of the co-ordinates changes without changing the order of coordinates.

So,C  [tex](-3,-1)[/tex] becomes C' [tex](3,1)[/tex] after the rotation.

A pet store sold 274 cans of cat food last weekend for a total of $216.46. What was the price per can?​

Answers

Answer:

Compare them ➗That's the answer

100 percent of your income after you retire will probably come from social security and the companies that employed you

A- you get a fat tire on your car

B- you work three jobs in order to pay your bills

C- it cost you $50 to gas up your car this month. But last month it cost you $85

D- it cost you $85 to gas up your car this month. But last month it only cost you $50

Answers

d-it cost you 85 to gas up
your car

A drawer contains 6 red socks, 5 white socks and 9 blue socks. Without looking, you draw out a sock
and then draw out a second sock without returning the first sock. What is the probability that the
first sock and the second sock are both red?

Answers

Answer:

2/20

Step-by-step explanation:

because 9+5+6=20 and if you draw 2 red socks then that would be yur numerator

What is mEG?

mEG = ___°​

Answers

mEG means megabyte.

Find indicated side of right triangle 45 percent 7

Answers

Answer:

a = 7

b = 7[tex]\sqrt{2}[/tex]

Step-by-step explanation:

in a 45-45-90° triangle, the length of legs to hypotenuse is 1 : [tex]\sqrt{2}[/tex]

What is the value of x in the equation?
3x12-7
4
A)
B)
1
C)
13
D)

Answers

Answer:

TNX ME LATER again HAHA JWK

A paint can has a radius of 4 inches and a height of 15 inches. What is the volume of the paint can? Round to t tenth. Use 3.14 for cubic inches

Answers

Answer:

Step-by-step explanation:

r=4 in

h=15 in

The paint can is a cylinder. The volume of the cylinder is: V=S×h (S stands for the area of the base, h is for height).

The area of our cylinder's base is a circle, so:

S=πr²=4²×π=16π≈50.24 (in²)

Thus, the volume is:

V≈50.24×15≈753.6 (in³)

William went to play basketball. He wondered what the area of
the court was. He measured the length and width and found
that they were 28m and 15 m respectively. What is the area of
the court in cm"?

Answers

42,000 cm since it’s 28*15 then you just convert it to cm.

Plz help me well mark brainliest if correct..........???

Answers

Answer:

B and C

Step-by-step explanation:

To find the perimeter of a shape, you basically just add the sides together.

For example, B is 8 + 4 = 12, and A is 6 + 6 = 12

The answer will be B and C because you add the height and width the multiply by two to get the same perimeter.

If Fahmida randomly picks a jelly bean out of the jar, what is the probability that the jelly bean will be green (find the simplest form)?

Answers

Answer:

1/5

Step-by-step explanation:

you divide the amount of green jelly beans by the total amount of jelly beans in the jar, which gives you 10/50 or 1/5.

Let u = <-7, -2>. Find 4u

Answers

Answer:

4u = <-28, -8>

Step-by-step explanation:

Since we are multiplying by a scalar, we can distribute 4 to both the components:

4u = <4*(-7), 4*(-2)>

4u = <-28, -8>

9. Find the 21st term in the arithmetic sequence - 4, 1, 6, 11, 16....
a. 72
b. 96
d. 91
C. 95

Answers

Answer:

the answer is c

Step-by-step explanation:

i just know

95 is the correct answer
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