You have 4 tickets to the movies and can take 3 of 4 friends--Mike, Tom, Eddie, and Chris. If chosen randomly, what is the probability that you will take Mike, Tom, and Chris?

Answers

Answer 1

Hello!

You have to find the probabilities of these happening

To pick Mike the first time is a 1 /4 chance

To pick Tom after Mike is a 1 / 3 chance since you picked mike

To pick Chris after Tom is a 1 / 2 chance since there are only two friends left

To find the probability of these happening in a row you multiply them

1/4 * 1/3 * 1/2 = 1/24

The answer is 1/24

Hope this helps!

Related Questions

expand (x^2-3/2)^9 using binomial process

Answers

Use the Binomial expansion theorem to find and simplify each term.

[tex] x^{18} - \frac{ 27x^{6} }{2}+ 81x^{14}- \frac{ 567x^{12} }{2}+ \frac{ 5103x^{10} }{16}- \frac{ 15309x^{8} }{16}+ \frac{ 15309x^{6} }{16} - \frac{ 59049x^{2} }{256}- [/tex][tex] \frac{19683}{512} [/tex]

Man that was a lot to type out, hopefully i helped, and Gosh I hope I get a brainly for all that freaking typing. hehe~ ^.^

In what form is the following linear equation written?

A. standard

B. Point Slope

C. Slope intercept

D. Rise Run

Answers

This is point slope form which in general is

y - y1 = m(x-x1)

The slope is m, which in this case is m = 2/3
The point this line goes through is (x1,y1) = (1,3)

As the name "point slope form" suggests, this form quickly lets us know the slope and one point that is on the line.

How many terms are there in a geometric series if the first terms is 2, the common ratio is 4, and the sum of the series is 2,730 ?

Answers

The sum of n terms of a geometric series is given by
[tex]S_{n}=a_{1}\dfrac{r^{n}-1}{r-1}[/tex]

Substituting the given numbers, you have
[tex]2730=2\dfrac{4^{n}-1}{4-1}\\\\2730\dfrac{3}{2}=4^{n}-1\\\\4096=4^{n}\\\\\dfrac{\log(4096)}{\log(4)}=n=6[/tex]

There are 6 terms in the series.

In the eco-garden of a school, the number of aquatic animals is 80% of the number of aquatic plants. There are 162 aquatic plants and animals in all. How many aquatic animals are there in the eco-garden?

Answers

Final answer:

By establishing a relationship between the total number of aquatic plants and animals and knowing that animals are 80% of the plants, we can determine that there are 72 aquatic animals in the eco-garden.

Explanation:

To calculate the number of aquatic animals in the eco-garden, we need to first establish the relationship between the number of animals and plants. According to the information, the number of aquatic animals is 80% of the number of aquatic plants. If we denote the number of aquatic plants as 'P' and aquatic animals as 'A', then A = 0.80 × P.

Given that there are a total of 162 aquatic plants and animals, we can represent this as A + P = 162. Since A is 80% of P, we can substitute the first relationship into the second equation, which gives us 0.80 × P + P = 162. Simplifying this, we get 1.80 × P = 162.

To find the value of P, we divide both sides by 1.80 to get P = 162 / 1.80, which yields P = 90. This indicates there are 90 aquatic plants. To determine the number of aquatic animals, we use the relationship A = 0.80 × P, so A = 0.80 × 90, resulting in A = 72.

Therefore, there are 72 aquatic animals in the eco-garden.

Start over a triangle prism has a height of 9 in the Triangle base has a base of 3 in in the heights of 8 in find the volume of the prism

Answers

the formula to get the volume of the triangular prism is;

V = B x H1 x H2

where;

B = is the area of the base of the triangle
H1 and H2= are the height of the triangle and the height of the triangular prism.

now, to find the area of the base simply use the formula

A = 1/2 B x H

where B is the value of the base and H is the value of the height of the triangle.

given the formula we can derive another formula to get the volume of the triangular prism.

V = 1/2 B x H1 x H2

given the formula, you can now substitute the values
.

V = 1/2 (3 in. x 8 in. x 9 in.)

V = 1/2 (216 in.^3)

V = (216 in.^3)/2

V = 108 in.^3 this is the final answer

The scores of individual students on the american college testing (act) program composite college entrance examination have a normal distribution with a mean of 18.6 and a standard deviation of 6.0. at northside high, 36 seniors take the test. assume the scores at this school have the same distribution as national scores. what is the mean of the sampling distribution of the sample mean score for a random sample of 36 students?

Answers

The mean of the distribution of the sampling mean is the same as the mean of the population, 18.6.

The graph represents the feasible region for the system: y<2x x + y 45 x > 30 Minimize the objective function P = 20x + 16y.

Answers

minimum value= 780
and occurs when x= 15
and y=30

Rhombus A has base of 7 inches and an area of 35 square inches. Rhombus B has a Base and Height that are three times the base and height of Rhombus A. Find the area of Rhombus b and compare it to the area of rhombus A Explain

Answers

Final answer:

Rhombus B, which has dimensions three times larger than Rhombus A, has an area that is nine times larger than the area of Rhombus A.

Explanation:

This question is based on geometry and compares the areas of two rhombuses. Firstly, remember that the area of a rhombus is obtained by the formula A = base x height. For Rhombus A, with a base of 7 inches and area 35 square inches, this implies that its height is 5 inches (since 7 x 5 = 35). Therefore, the height of Rhombus B which is three times larger than that of Rhombus A would be 15 inches, and its base would be 21 inches (three times that of Rhombus A).

Now applying these values into the formula for the area of a rhombus, for rhombus B we get A = 21 x 15, which equals 315 square inches - this is the area of Rhombus B. Comparing this with the area of Rhombus A (35 square inches), we find that Rhombus B is 9 times larger than Rhombus A (because 315 divided by 35 equals 9).

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Final answer:

By increasing the base and height of Rhombus A by three times, the resulting area of Rhombus B is nine times the area of Rhombus A. The area of Rhombus A is 35 square inches and the area of Rhombus B is 315 square inches.

Explanation:

The subject of this question is area of rhombuses. A key concept to remember is that the area of a rhombus is calculated by the formula: Area = base x height.

Rhombus A has base of 7 inches and an area of 35 square inches. This means the height h of Rhombus A is A/base = [tex]35/7 = 5[/tex] inches.

The base and height of Rhombus B are three times the base and height of rhombus A. So, Rhombus B has a base of [tex]7 * 3 = 21[/tex] inches and height of [tex]5 * 3 = 15[/tex] inches.

To find the area of Rhombus B, you apply the same formula, Substituting the values we get, B = base x height = [tex]21 * 15 = 315[/tex] square inches. Therefore, the area of Rhombus B is nine times the area of Rhombus A since 315/35 = 9.

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Solve, if 1.32 : 3 1/7 = (14y) : 5/6

Answers

we have that
1.32 : 3 1/7 = (14*y) : 5/6

we know that
3 1/7------> (3*7+1)/7------> 22/7

substitute
1.32 : 22/7 = (14*y) : 5/6
1.32*(5/6)=14*y*(22/7)
1.1=44*y
y=1.1/44--------> y=0.025

the answer is
y=0.025

Which number has a repeating decimal form?
a) square root of 15
b)11/25
c)3/20
d)2/6

Answers

Which number has a repeating decimal form?
a) square root of 15
b)11/25
c)3/20
d)2/6

The correct answer is d)2/6
Since, once solved, the value would give, 0.33333333333333333333333333333333

the answer to this question is 2/6

How do you do a probability tree? How do you start it? How do I get all my percentages to add up to 100?

Please help guys, this is for a project. I need to know the steps on how to do one or I'll funk the class.

Answers

why you just give the question give the question && the answer !!!

Answer:

why you just give the question give the question && the answer !!!

there is one plane that leaves from the city to the ski resort every hour. the first plane leaves at 10 the last plane leaves at 4 how many planes fly to the resort each day

Answers

There are flights at 10, 11, 12, 1, 2, 3, 4. That's a total of 7 flights per day.

3,072 c= _______ gal

Answers

3072 c = 192 gal

That is the answer

There are 16 cups in a gallon

You divide 3072 by 16 which gives you 192.

Suppose that 12 inches of wire costs 60 cents. At the same rate, how much (in cents) will 27 inches of wire cost?

Answers

The 12 inches wire costs 60 cents, so the cost of 1 inch of wire is

Rate = 60/12 = 5 cents

So the cost of 1 inch of wire which is the rate is 5 cents.

Now we have to find the cost (in cents) of 27 inches wire.

We know the cost of 1 inch of wire is 5 cents so the cost of 27 inches of wire is

= Total inches of wire * Price of 1 inch of wire

= 27 * 5

= 135

The cost of 27 inches of wire is 135 cents

Jane has 312 feet of fencing to use to enclose a rectangular garden. She wants the garden to be 5 times as long as it is wide. What are the dimensions of the garden

Answers

Length is 130 ft. and width is 26 ft.

Frank wrote 1/2 of his book report before dinner. he wrote another 1/8 of the report after dinner. What fraction of the report did he finish?

Answers

Final answer:

Frank finished 5/8 of the report.

Explanation:

To find the fraction of the book report that Frank finished, you need to add together the fractions of the report he wrote before and after dinner. Frank wrote 1/2 of the report before dinner and 1/8 of the report after dinner. To add these fractions, you need to find a common denominator. The least common multiple of 2 and 8 is 8, so you can rewrite 1/2 as 4/8. Adding 4/8 and 1/8 gives you a total of 5/8.

Therefore, Frank finished 5/8 of the report.

19 hundred thousandths in scientific
notation

Answers

19 hundred thousandths is the same thing as 0.00019. With scientific notation the number must be greater than or equal to one and less than two, so the answer would be 1.9*10⁻⁴ since it is in the decimals

Final answer:

The scientific notation of 19 hundred thousandths which is 0.000019 is 1.9 x 10^-5.

Explanation:

The number 19 hundred thousandths would mean 19 divided by 1,000,000 which equals 0.000019. When we convert this decimal to scientific notation, it becomes 1.9 x 10^-5. In scientific notation, we want to express a number as a value between 1 and 10 multiplied by a power of 10. So, to convert 0.000019 to scientific notation, we need to move the decimal point five places to the right, which gives us 1.9. The '10^-5' shows that the decimal point has moved five places to the right from the original number.

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Stocks are units of ownership in a company. The stock market is a place where stocks are bought and sold. When you buy a stock, you own a part of the company. If the company’s profits go up, the stock value goes up. If the profits fall, so does the value of the stock. Stock prices rise and fall every day. Last week, Isabelle bought stock in a toy company. Since then, the price of the stock had a change of -3 dollars. What is the absolute value of -3?

Answers

The absolute value is three.
Think of it like this. Whenever the absolute value is there, the number or expression inside, whether negative or positive takes a shower. When they are done showering, they are clean. The clean equals positive, all numbers after absolute value are positive so the answer is three.

Answer:

The absolute value is three!

Step-by-step explanation:

have a nice day/night!

the function of (x) varies directly with x^2, and f(x)=96 when x=4 what is the value of f(2)

Answers

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------[/tex]

[tex]\bf \textit{f(x) varies directly with }x^2\qquad f(x)=kx^2 \\\\\\ \textit{we also know that } \begin{cases} f(x)=96\\ x=4 \end{cases}\implies 96=k(4)^2\implies 96=16k \\\\\\ \cfrac{96}{16}=k\implies 6=k\qquad therefore\qquad \boxed{f(x)=6x^2} \\\\\\ \textit{now, when }\stackrel{f(2)}{x=2}\textit{ what is \underline{f(x)}?}\qquad f(2)=6(2)^2[/tex]

A hand-operated conduit bender with a shoe for bending 1-inch EMT can also be used to bend

A. 1-inch IMC.

B. 3/4 inch IMC.

C. 1/2 inch EMT.

D. 1-inch rigid conduit.

Answers

1/2 inch EMT.........................

Tony makes an hourly salary of $11.50 for 40 regular hours of work. For any time worked beyond 40 hours, he is paid at a rate of time and a half per hour. Last week, Tony worked 46 hours. Find each of the following for this period. Tony’s gross pay. Social Security Tax (6.2%) Medicare tax (1.45%)

Answers

Part (1):
We are given that:
Tony is paid $11.5 per hour for the first 40 hours of work
Tony is paid 1.5 * 11.5 = $17.25 for each hour beyond the 40 hours.
We know that last week he worked 46 hours.
This means that:
he got the normal payment of $11.5 for the first 40 hours
he got the special payment of $17.25 for the extra 6 hours
Therefore:
Total amount he gained = 40(11.5) + 6(17.25) = $563.5
This means that, before removing any taxes or insurances, Tony had a payment of $563.5

Part (2):
We know that the social security tax is 6.2% of the amount he gained.
This means that:
social security tax = 6.2% * 563.5
social security tax = 0.062 * 563.5
social security tax = $34.937

Part (3):
We know that the medicare tax is 1.45% of the amount he gained.
This means that:
medicare tax = 1.45% * 563.5
medicare tax = 0.0145 * 563.5
medicare tax = $8.17075

Part (4):
To get the amount that Tony has after all the taxes, we will subtract the amount of taxes from what he originally gained as follows:
final amount gained = 563.5 - (34.937+8.17075)
final amount gained after taxes = $520.39225

Hope this helps :)

Final answer:

Tony's gross pay for 46 hours of work, including 6 hours of overtime, is $563.50. The Social Security tax on this amount is $34.94, and the Medicare tax is $8.17.

Explanation:

Calculating Tony's Gross Pay

Tony's regular pay for 40 hours at an hourly rate of $11.50 is calculated by multiplying the hourly rate by the number of regular hours he worked. Therefore, his regular pay is 40 hours × $11.50/hour = $460. To calculate the overtime pay, we must first determine the overtime rate. The overtime rate is 1.5 times the normal hourly rate, thus the overtime hourly rate is 1.5 × $11.50/hour = $17.25/hour. Tony worked 6 hours overtime, so his overtime pay is 6 hours × $17.25/hour = $103.50. Tony's gross pay is the sum of his regular pay and overtime pay, which is $460 + $103.50 = $563.50.

Calculating Deductions for Social Security and Medicare

The Social Security tax and Medicare tax are calculated as percentages of the gross pay. The Social Security tax at 6.2% of $563.50 is $563.50 × 0.062 = $34.937, which rounds to $34.94. The Medicare tax at 1.45% of $563.50 is $563.50 × 0.0145 = $8.17075, which rounds to $8.17.

WRITE THE expression in complete factored form 2y^2(p-4)-7(p-4)

Answers

p - 4 is common to the 2 parts so we have

(2y^2 - 7)(p - 4) Answer

For this case we have the following expression:
2y ^ 2 (p-4) -7 (p-4)
The first thing you should observe is the similar terms in both parts of the expression.
We note that the term (p-4) is repeated in both parts of the expression.
Therefore, by doing common factor (p-4) we have:
(p-4) (2y ^ 2-7)
Answer:
The expression in complete factored form is:
(p-4) (2y ^ 2-7)

What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 6.5?

Perimeter = 54 cm, area = 181.25 cm2
Perimeter = 54 cm, area = 2,028 cm2
Perimeter = 182 cm, area = 2,028 cm2
Perimeter = 182 cm, area = 181.25 cm2

Answers

The perimeter of the given rectangle is
2(6 cm + 8 cm) = 28 cm
The area of the given rectangle is
(6 cm)*(8 cm) = 48 cm^2

The larger rectangle will have a perimeter of
6.5*28 cm = 182 cm
The larger rectangle will have an area of
6.5^2*48 cm^2 = 2028 cm^2 . . . . . note the scale factor is squared for area

The appropriate choice is the 3rd one, ...
Perimeter = 182 cm, area = 2,028 cm^2

Answer:

Perimeter = 182 cm, area = 2,028 cm^2

Step-by-step explanation:

does anyone know the answer???

Answers

The slope of line AB is
slope = (change in y)/(change in x)
slope = (14 -(-3))/(7 -(-10)) = 17/17 = 1

The slope of line CD is the negative reciprocal of that, -1/1 = -1.
The point-slope form of the equation for line CD can be written as
y = -1(x -5) +12
y = -x +17

The x-intercept is the value of x when y = 0.
0 = -x +17
x = 17
The x-intercept is ...
(17, 0)

Another way to write the equation for line CD is "standard form." For this, we add x to the slope-intercept form to get ...
x + y = 17

For the second part of your question, we can find the answer by adding the x- and y-coordinates to see which sum is 17.
-5 +24 = 19
-2 +19 = 17 . . . . . . . . . the point (-2, 19) is the correct choice
7 +(-10) = -3
8 +11 = 19

The continuous function f is defined on the interval -4 ≤ x ≤ 3. there is no point c, -4 ≤ c ≤ 3, for which

Answers

We can say that there is no point c, which is not defined on this function's domain. Indeed, the intervals of this function and the interval of c coincide.

The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What are the restrictions on the domain of (u-v)(x)?

Answers

For domain to work, we would need to find intersection of two domain sets. Because if one input causes one function to be undefined, then combined function would be undefined too.

So then domain of (u-v)(x) would be the set of all real values except 0 and 2.

Hope this helps.

Answer: x = 2 and x cannot be any value for which v(x) = 0

Step-by-step explanation:

Ramone tossed 1 quarter, 2 dimes, and 13 pennies in the wishing well at the party. What is the total amount of money as a fraction and as a decimal?

Answers

For this case we have:
1 quarter:
(1) * (0.25) = 0.25 $
2 dimes:
(2) * (0.1) = 0.2 $
13 pennies:
(13) * (0.01) = 0.13 $
Adding we have:
0.25 + 0.2 + 0.13 = 0.58 $
As a fraction:
58/10 = 29/5 $
Answer:
The total amount of money as a fraction and as a decimal are:
$ 29/5
$ 0.58

Robert planted 24 daffodil bulbs and 36 tulip bulbs in his guarden last winter. If all the bulbs sprout and bloom this spring, what will be the ratio of tulips to daffodils in Roberts guarden? Expressed as a simplified ratio.

Answers

36:24->
18:12 ->
9:6 ->
3:2 is the simplified ratio

Final answer:

The ratio of tulips to daffodils in Robert's garden is 3:2. This is obtained by dividing the number of tulips by the number of daffodils (36/24), and simplifying the result.

Explanation:

This problem pertains to ratios. Given that Robert planted 24 daffodil bulbs and 36 tulip bulbs, the ratio of tulips to daffodils is obtained by dividing the number of tulips by the number of daffodils. Thus, the ratio is 36/24. This simplifies to 1.5 when expressed as a decimal. However, we need the ratio in its simplest form, so let's convert 1.5 into a whole number. By multiplying both numbers by 2, we get the ratio 3:2. Therefore, the ratio of tulips to daffodils in Robert's garden is 3:2

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(5a-5)(2a+2)
Find each product

Answers

(5a-5)(2a+2)
= 5a*2a -5*2a + 2*5a - 5*2
= 10a^2 - 10a + 10a - 10
= 10a^2 - 10

The product of the equation is 10a^2 - 10

[tex](5a - 5)(2a + 2) \\10a {}^{2} + 10a - 10a - 10 \\ 10a {}^{2} - 10[/tex]
You foil and the add like terms.

Factor completely. y2 - xy - 56x2

Answers

For this case we have the following expression:
y2 - xy - 56x2
Rewriting we have the factored expression, which is given by:
(7x + y) (y-8x)
Checking we have:
7xy - 56x ^ 2 + y ^ 2 - 8xy
y ^ 2 - xy - 56x ^ 2 (OK)
Answer:
The factored expression is given by:
y2 - xy - 56x2 = (7x + y) (y-8x)

Answer:

(y - 8x) (y + 7x)

Step-by-step explanation:

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1) Factoring an expression with a greater than one and two square variables 8x^2 -6xy -9y^2

2) Learn How to Factor a Trinomial in Your Head When a is not Equal to One

I'm not paid to do this, I genuinely recommend you watch these two videos, because it helped me tremendously when I once did a question like this.

Have a blessed day!

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If a 100N weight sits in an express elevator what will be the weight when the elevator is traveling at a constant speed In which sentence below is the comma used correctly? a. In the first round of the tournament, I played one of the best teams. b. In the first round, of the tournament I played one of the best teams. c. Fortunately I had, a spare set of keys with me. how would I set up and solve this problem? Can the figure below tessellate a plane? Explain your answer. Japan was occupied by the united states for _______ years after the war. Your grandfather works on the new york times crossword puzzle every day. he has been very good at solving the puzzle and nearly always does. his ability to remember the meaning of words has shown no decline as he has aged, and really shows very little decline for most older adults. what type of memory is this? If a space in the structure is filled with minerals and then the original animal or plant part dissolves it called About _______ of all body fluid is within cells and intracellular compartments. A. 1/3 B. 2/3 C. 1/2 D. 1/4 I have a question. Say my two dogs mated but they were of different breeds. The male was a poodle and the female was a terrier. What are the chances the pup will grow to be as tall as a poodle or as small as a terrier If you experience a denial-of-service attack, you can use firewall logs to determine the _______ from which the attack originated. If an astronaut throws an object in space, the objects speed will _____ square root 2x -5 =11 Describe one type of molecular evidence that can be used to determine the genetic relatedness of bacterial strains isolated from naturally occurring populations Two lines, C and D, are represented by the equations given below: Line C: y = x + 14 Line D: y = 3x + 2 Which of the following shows the solution to the system of equations and explains why? Which marine ecosystem has the fewest available nutrients and the lowest productivity? A)estuaries B)open ocean C)coral reefs D)continental shelf A feed bucket holds 12 quarts. How many cups of feed does the bucket hold? Write a word problem that can be described by the division expression 9 1/32 3/4 . Use complete sentences in your answer. im very bad with word problems ________ is a software that interprets java bytecode. Read the excerpt and answer the question below. We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness.--That to secure [protect] these rights, Governments are instituted [created] among Men, deriving [taking] their just powers from the consent of the governed, --That whenever any Form of Government becomes destructive of these ends, it is the Right of the People to alter or to abolish it, and to institute new Government . . . Based on this excerpt, what is the role of government in society? Why does Wiesel talk about himself in the third person