Find the probability of each event.
A politician is about to give a campaign speech and is holding a stack of thirteen cue cards, of which the first 3 are the most important. Just before the speech, she drops all of the cards and picks them up in a random order. What is the probability that cards #1, #2, and #3 are still in order on the top of the stack?

Answers

Answer 1

Answer:

The probability that cards # 1, # 2, and # 3 are still in order on the top of the stack is 0.045%.

Step-by-step explanation:

Since a politician is about to give a campaign speech and is holding a stack of thirteen cue cards, of which the first 3 are the most important, and just before the speech, she drops all of the cards and picks them up in a random order, to determine what is the probability that cards # 1, # 2, and # 3 are still in order on the top of the stack, the following calculation must be performed:

1/13 x 1/13 x 1/13 = X

0.076 x 0.076 x 0.076 = X

0.00045 = X

0.00045 x 100 = 0.045

Therefore, the probability that cards # 1, # 2, and # 3 are still in order on the top of the stack is 0.045%.


Related Questions

Give the restrictions on the domain (the excluded values) of
5x-10/5x2 +5x-30

Answers

Answer: x = -3 and x = 2

Step-by-step explanation:

What is the answer if you factor 5x^2+15x-20

Answers

the answer is 5(x-1)(x+4)

Andrew jogs 4.2 miles every day. How many miles does he jog in five days?​

Answers

Answer:

21 miles

Step-by-step explanation:

he runs 4.2 miles x 5 days

Andrew jogs 4.2 miles every day. Andrew runs 21 miles in five days.

We have given that,

Andrew jogs 4.2 miles every day.

We have to determine how many miles he jog in five days.

What is the distance?

The extent or amount of space between two things, points, lines, etc. · the state or fact of being apart in space, as of one thing from another remoteness.

he runs

= 4.2 miles x 5 days

=21.0

Therefore Andrew runs 21 miles in five days.

To learn more about the distance visit:

https://brainly.com/question/2854969

#SPJ2

Write 9x - 8 as a verbal expression

Please the fast as possible!

Answers

Answer:

8 subtracted from the product of 9 and x

Hope this helps!

PLEASE HELP IF YOU KNOW HOW TO EXPLAIN

Answers

Answer:

cos Q = 28/53

Step-by-step explanation:

cosine = CAH

          = Adjacent / Hypotenuse

adjacent length 25 and hypotenuse is 53

hope this helps!

Which measurement can be used to describe the size of an angle

Answers

Answer:

Step-by-step explanation:

degrees

Degrees

Hope this helps!

Andy estimated that he would need 73 feet of lumber for a tree house project. He later found that the actual amount of lumber needed was 62 feet. What was the percent error of Andy's estimation?

Answers

Answer:

17.74%

Step-by-step explanation:

The formula for percent error is given as:

|Estimated value - Actual value|/Actual value × 100

From the above question:

Estimated value = 73 feet

Actual value = 62 feet

Hence,

Percent error = |73 - 62|/62 × 100

= 11/62 × 100

= 17.741935484%

Approximately , percent error = 17.74%

Therefore, the percent error of Andy's estimation is 17.74%

3 dogs plus 5 cats cost $365. 5 dogs plus 3 cats cost $491. What is the cost of one cat?

Answers

$22 because if you substitute dogs cost for 85 then solve cats are 22 each

Answer:

Solution given;

let dogs be d and cats be c.

according to the question

3 d +5 c =$365........[1]

5d+3c=$491.............[2]

By doing elimination method

multiplying equation 1 by 5 and equation 2 by 3 and subtracting

we get

15d+25c=$365*5

15d+9c=$491*3

- - -

____________

;16c=$352

c=[tex] \frac{352}{16} [/tex]=$22

the cost of one cat is $22.

solve the equation using square roots. round your solutions to the nearest hundredth. 5x^2+2=6

Answers

x = 0.89
x = -0.89
two solutions

flat family roof on goformative answer

Answers

Guatafak is that ...

can I have some help? and with an explanation could help win brainist.

Answers

Answer:

20 units

Step-by-step explanation:

Hope this helps u :D

Answer:

24 units

Step-by-step explanation:

The distance between 2 and 4 is 2.

2 + 2 = 4

The width is 2 units.

The distance between - 3 and 5 is 8.

- 3 + 8 = 5 or 8 - 3 = 5

4 + 8 + 4 + 8 = 24

Help please ASAP
2. A birthday present is placed into a rectangular
shoe-box. The box has the following dimensions: 3
inches by 7 inches by 8 inches. What is the minimum
amount of wrapping paper needed to cover the
entire box?
a.
146 sq. in.
b.
101 sq. in.
C
202 sq. in.
d.
168 sq. in.

Answers

Answer: 168 sq. in.

Step-by-step explanation: the shape is a cubiod the volume is lbh=3*7*8=168

Which pair of segments must be parallel?
A. AB and CD
B. AB and GH
C. CD and EF
D. EF and GH

Answers

Answer:

G and H

Step-by-step explanation:

though with that being said i may be wrong (im not scamming like other users with random answers im being for real)


Which ordered pairs are solutions to y = x + 1?
A (0,1),(1,2), (2,3)
B (0, -1), (2, -1), (3,-2)
C (0,1),(1,2), (2, 4)
D (0,1),(2, 1), (3, 1)

Answers

Answer:

A. ( 0, 1 ), ( 1, 2 ), ( 2, 3 )

Step-by-step explanation:

( x, y ) = ( 0, 1 )

Here,

x = 0

y = 1

y = x + 1

1 = 0 + 1

1 = 1

( x, y ) = ( 1, 2 )

Here,

x = 1

y = 2

y = x + 1

2 = 1 + 1

2 = 2

( x, y ) = ( 2, 3 )

Here,

x = 2

y = 3

y = x + 1

3 = 2 + 1

3 = 3

There are 12 girls on the soccer team. That is 3 times the number of boys on the team.
How many boys are on the team?

Answers

Answer:

4 boys

Step-by-step explanation:

[tex]\frac{1}{3} :\frac{y}{12}[/tex]

3 × y = 1 × 12

3y = 12

3y ÷ 3 = 12 ÷ 3

y = 4

B is the midpoint of AC, if AB=2x+1 and BC= 3x-4, what is x? What is the measure of BC? What is the measure of AC?

Answers

Answer:

ayaw pag salig og brainly lods

The measure of angle P is ___ degrees, rounded to the nearest hundredth.

Answers

Answer:

35.00 degrees

Step-by-step explanation:

What is the value of n in the equation below? a^n/ a^3 = a^9
a. 3
b. 6
c. 12
d. 27​

Answers

Answer:

C, 12

Step-by-step explanation:

brainliest goes to whoever answers the question correctly also if you want more points answer my other questions

Answers

Answer:

B. y = 85x

Step-by-step explanation:

First, find the rate of change of the graph:

Rate of change = change in y/change in x

Using two points (0, 0) and (4, 300),

Rate of change (m) = (300 - 0)/(4 - 0) = 300/4

Rate of change (m) = 75

Compare this with the rate of change of the given equations in the options.

✔️Option A: y = 65x + 100

The rate of change of this equation is 65, which is less than the rate of change of the given graph (75)

✔️Option B: y = 85x

The rate of change of this equation is 85, which is greater than the rate of change of the given graph (75)

✔️Option B: y = 50x + 150

The rate of change of this equation is 50, which is less than the rate of change of the given graph (75)

✅Therefore, the equation that has a greater rate of change than the one shown in the graph is y = 85x

The Smith's 5 children need to be lined up for a family photo. In how many ways could this be done? 5 5 5! 5! 5C5 5 cap c sub 5 55

Answers

Answer:

120 ways

Step-by-step explanation:

To line 5 children up in a family photo, the number of possible arrangements is obtained by taking the factorial of the number of people on the line.

In this scenario, we have 5 ;

Recall;

n! = n(n-1)(n-2)(n - n-1)

5! = 5(5-1)(5-2)(5-3)(5-4)

5! = 5 * 4 * 3 * 2 * 1

5! = 120 ways

In 1990, the population of the U.S. was about 250 million and was growing exponentially
at a rate of about 1% per year. At this rate, in what year will the population have
doubled?

a. 2080
b. 2070
c. 2060
d. 2050

Answers

Answer:

The correct answer is C.

Step-by-step explanation:

Giving the following information:

Present Value (PV)= 250 million

Future Value (FV)= 500 million

Growth rate (g)= 1% per year

First, we need to calculate the number of years required for the population to double:

n= ln(FV/PV) / ln(1+g)  

n= ln(500/250) / ln(1.01)

n= 69.66 = 70 years

It will take 70 years for the population to double.

From a barrel of colored marbles, you randomly select 1 blue 6 yellow 7 red 4 green and 6 purple marbles

Answers

Complete question :

From a barrel of colored marbles, you randomly select 1 blue 6 yellow 7 red 4 green and 6 purple marbles. Find the experimental probability of randomly selecting a marble that is NOT yellow.

Answer:

Step-by-step explanation:

Total number of marbles :

Blue = 1 ; yellow = 6 ; red = 7 ; green = 4 ; purple = 6

Total = (1 + 6 + 7 + 4 + 6) = 24 marbles

Probability of selecting marble that is not yellow :

Number of marbles that aren't yellow / total number of marbles

Marbles that aren't yellow = 24 - 6 = 18

P(selecting a marble that isn't yellow) = 18 / 24 = 3/4

Anyone help me with this please!!

Answers

Answer;
35, 70, and 77

ect the correct answer.
Which of the following graphs represents the equation below?

Answers

Seems like none of them +4 unit up yaxis

HELP IM GOING TO HAVE A MENTAL BREAKDOWN
Find the values of x and y that make these triangles congruent by the HL Theorem.

Answers

Answer:

x = 3 ; y=2

Step-by-step explanation:

to simplify the work we can build a system of two equations

2x+3 = 3y+3

x = y+1

we can now substitute the value of x in the first equation

2(y+1)+3 = 3y+3

2y + 2 + 3 = 3y+3

2y + 5 = 3y+3

y = 2

now we can subisitute the value of y in the first equation

x = 2 + 1 = 3

Verify

2(3)+3 = 6+3 = 9

3(2) + 3 = 6 + 3 = 9

3

2+1 = 3

-6x² + 8x + 10is in what form?

A)Standard
B)Linear
C)Vertex
D)Parent

Answers

Step-by-step explanation:

The given quadratic equation is in standard form.


On average, the moon is 384,400 kilometers from the Earth. How is this distance written in
scientific notation?


A. 0.3844 x 10^-6
B. 3.844 x 10^-5
C. 3.844 10^5
D. 0.3844 x 10^6


Answers

Answer:

C

Step-by-step explanation:

hope this helps with the work

C is the answer I am 100 percent sure

Find y to the nearest degree. *

Answers

Step-by-step explanation:

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

Please help!


Due soon...

Answers

Answer:

1: 233 m

2: 466 m

3: 241.87 m

4: 483.72

Step-by-step explanation:

The Pythagorean Theorem states that a^2 + b^2 = c^2, in which c is the hypotenuse (in this case,  PQ and RS).

1: 105^2 + 208^2 = 54289, square root of 54289 = 233

2: Since the area of the triangle makes up half of the rectangle, multiply the area by 2 to get 466

3: 120^2 + 210^2 = 58500, square root of 58500 is 241.87

4: Multiply by 2 to get 483.72

Complete the table for the relationship shown in the graph

Answers

Answer:

where ?

Step-by-step explanation:

where is the question to solve ?

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