Six different colored dice are rolled. Of interest is the number of dice that show a one. In words, define the random variable X. List the values that X may take on. Give the distribution of X. X ~ _____(_____,_____) On average, how many dice would you expect to show a one? Find the probability that all six dice show a one. Is it more likely that three or that four dice will show a one? Use numbers to justify your answer numerically.

Answers

Answer 1

Answer:

Step-by-step explanation:

Six dice (each of a different color) are rolled. Since the number of times the 6 dice were rolled isn't stated, take it to be 1.

Hence, 6 dice are rolled at once for this experiment.

Of interest is the number of dice that show a "one". In other words, the variable in question (X) is:

The number of dots that show on the upward face of the rolled dice.

The values that X may take on are:

1  2  3  4  5  6

On average, how many dice would you expect to show a one?

One die.

How is this gotten? By finding the probability that a one or one dot appears when the 6 dice are rolled at once. Since there are 6 dice in number, and each die has the same 6 faces containing dots, the probability of getting a one is 1/6. In this case, one out of 6 dice is expected to show one dot.

Find the probability that all six dice show a dot in just one toss.

Logically, this probability is going to be very small! It is almost impossible for all 6 dice to land on the same face in just a single toss. In other words, expect many decimal places in the probability figure.

1/6 divided by 6  = 0.167/6  = 0.028 approximated to three decimal places.

This would also represent the probability that 2 dots, 3 dots, or any other number of dots appears on all dice in one toss!

Is it more likely (in this experiment) that 3 or 4 dice will show a one (a single dot)?

The answer is yes! It is more likely that 3 or 4 dice (instead of all 6) will show a one or will show the same number of dots.

Kudos!


Related Questions

The points F, G, H and I all lie on the same line segment, in that order, such that the
ratio of FG : GH: HI is equal to 3 : 2: 4. If FI = 18, find FH.

Answers

Answer:

10

   

Step-by-step explanation:

    Given line:

              F       G       H        I

         

 FI  = 18

Unknown:

FH = ?

Solution:

To find the line FH, we use the ratio given;

               FG : GH: HI

               3    :   2  : 4 ; Total  = 3 + 2 + 4 = 9

  Since FI is 18;

FH  = [tex]\frac{3 + 2}{9}[/tex]  x 18 = [tex]\frac{5}{9} x 18[/tex]  = 10

FH  = 10

   

A train is traveling at 50 miles per hour. What is the train?

Answers

Answer:

The speed of the train = 50 mph = 50*1.61 = 80.5 km/hr = 80.5*1000/3600 = 22.36 m/s. The speed of a train is 54 km/h excluding its halting time.

Hope this helps! :)

Determine if each pair of ratios or rates are equivalent. Explain your reasoning:
48 words typed in 3 minutes || 75 words typed in 5 minutes

Answers

Answer:No, because when we divide 48/3=16 so 16 words are typed in 1 minute while when you divide 75/5=15 so 15 words are typed in 1 minute and 16 is greater than 15 so their not equivalent

Step-by-step explanation:

(Will Give Brainliest if Correct)
Write an algebraic expression for the statement.
The cost of m pounds of meat when the cost per pound is $3.54

Answers

Answer:

y=3.54m

Step-by-step explanation:

i already answered it

ILL BRAINLIST 5 times do this for me pllsss I'll make u expert​ I'm rlly confused on this don't get it

Answers

Answer:

a) Maria has d+f

b) Ivan has 3d+ (f-7)

c) 5d+20f

Step-by-step explanation:

expand and simplify 3(3x-4)-2(2x-1)

Answers

Answer:

5x-10

Step-by-step explanation:

distribute 3 & 2 thought the parenthesis

Mr. Harrison spent a total of $3510 on plane tickets for a family vacation. If each plane ticket cost $585, how many plane tickets did Mr. Harrison purchase?

Answers

6 plane tickets ! hope this helps !

EASY MATH QUESTION PLEASE I NEED HELP! ​

Answers

Answer:

x=8/3

Step by step

determine the defined range

remove parentheses

move the terms

collect like terms and calculate

divide both sides

Algebra 2 Math question Grade 11

Can anyone please help me with this question? Soon as possible!


In a linear equation of the form y = mx + b, as b increases, what happens to the line?

Which of these choices is the correct answer?


The line moves up.

The line gets steeper.

The line moves down.

The line moves to the right

None of these describes how the line changes.

Answers

Answer: A) The line moves up

The b determines the y intercept

For example, y = 2x+5 has a y intercept of 5

Another example, y = 2x+6 has y intercept 6

The value of b has gone up by 1, so the graph shifts up by 1.

See the diagram below.

The slope stays the same, so both lines are parallel.

Name the slope and y-intercept of the graph of each question

y = 3x + 8

5x+y=17

PLEASE SOMEONE EXPLAIN TO ME HOW TO DO IT . WILL MAKE BRAINIEST AND 30 points

Answers

Answer:

Step-by-step explanation:

in the simplest terms, the y intercept is always at the end of the equation. the slope always has the x after it.

3x is the slope . 8 is the y intercept

5x is the slope while y is the basically the y intercept.

Answer:

in the simplest terms, the y intercept is always at the end of the equation. the slope always has the x after it.

3x is the slope . 8 is the y intercept

5x is the slope while y is the basically the y intercept.

Step-by-step explanation:

What is the scale factor from figure B to A?

Answers

2.5

Explanation:25/10, 10/4, 21.5/8.6=2.5

Hope it helps

30 POINTS! HELP ME PLZZ !!

Answers

Answer:

D.

Step-by-step explanation:

D is the only one that works because commutative property allows you to rearange the order of questions, but you cannot change the number's numerical value

I think C) is the answer plz correct me if I’m wrong :)

Solve this 8x+5/2=13

Answers

Is that 8 X or multiplication sigh?

Answer: There are actually 3 answers for this ahaha, but this is the EXACT ONE: 21/16 in DECIMAL FORM it's 1.3125 in MIXED NUMBER FORM it's 1 5/16

Step-by-step explanation:

The diameter of a circle is 25 inches. What is the area? Use 3.14 for pi and round to the nearest hundredth.​

Answers

Answer:

500 inches

Step-by-step explanation:

r= d÷2

25÷2= 12.5

Area of circle = pi × r²

=3.14×(12.5)²

=490.625

~500 inches

Scott makes $52 for 4 hours of work? How much does Scott make per hour?​

Answers

Answer:

13

Step-by-step explanation:

52/4=13

$13.40

All I did was divide 52 by 4 to get the answer

1-2x + 10 1 +12 = 4 *

Answers

This equation doesn’t make sense... is that 101 or is there something between the 10 and 1?

How does the speed (miles per hour) represented by this relationship compare to that of the Peregrine Falcon?

Answers

67 miles i believe should be right

х
0
3
6
9
12
у
10
19
28
37
Slope m=
Y-intercept b =
Equation

Answers

Answer:

no

Step-by-step explanation:

Please help me I am not good a math

Answers

Answer:

B. Graph B

Step-by-step explanation:

Graph the inequality by finding the boundary line, then shading the appropriate area.


If ab = 5 and a² + b² = 25, then (a + b)² =​

Answers

Answer:

100

Step-by-step explanation:

because 5+5=10

the 10^2=10*10=100

Answer:
35
Explanation:
Recall that (a+b)^2=a^2+2ab+b^2.
We can rearrange it in a way that would make it easier to solve our problem:
(a^2+b^2)+2ab
Now, we just plug in 25 for a^2+b^2, and plug in 5 for ab:
25+2*5
=25+10
=35

When a geometric figure turns about a certain point it is called a_____

Answers

Answer:

rotation

Step-by-step explanation:

hope this helps

Answer:

Rotation (✿◠‿◠)

X+7
——-=9
3
Can you explain step by step on how to solve this problem?

Answers

Answer:

w=−7

Step-by-step explanation:

34+21=−11(w+2)

55=−11(w+2)

-55/11​​ =w+2

−5=w+2

−5−2=w

−7=w

Reflection of point (1.2) over X-Axis is

Answers

Answer:

1,-2

Step-by-step explanation:

reflection over x axis the values of y will change

Ms. Bixby needs to make 11 pairs of butterfly wings for costumes for a play. Each
pair of wings is made with 12 를 yard of fabric. The fabric costs $6 per yard.
Apply properties of multiplication to find the total cost of the fabric.

Answers

Answer:

792

Step-by-step explanation:

Sorry if im wrong :)

Which equation can be represented using the number line pls help

Answers

possibly D I’m not sure.

Answer:

i need help to but i think a

Step-by-step explanation:

mark me plz

The average fun size Snickers bar has the mass of 20.1 grams with a standard deviation of 0.7 grams What percent of Snickers bars have a mass more than 21.5 grams?

Answers

Step-by-step explanation:

The “fun size” of a Snickers bar is supposed to weigh 20 grams. Because the penalty for selling Snickers candy bars that weigh less than 20 grams is so severe, the manufacturer calibrates the machine so that the mean weight is 20.2 grams. The quality control manager at the candy company is concerned that the candy produced does not weigh 20.2 grams. She obtains a random sample of 64 candy bars and weighs them. She finds that the mean weight of this sample is 20.05 grams with standard deviation 0.72. By answering the following questions, test the claim that the Snickers bars have a mean weight less than 20.2 grams at the level of α = 0.01.

1. Select from the following list all the requirements that are met in this problem scenario for this test: (circle your choice(s))

a. The population is approximately normal.

b. The population standard deviation is known.

c. The sample taken is a random sample.

d. The population standard deviation is unknown. e

. The degrees of freedom is 0.01.

f. The sample size is greater than 30.

2. Which of the following statements is correct?

a) Parameters describe sample characteristics.

b) Statistics describe population characteristics.

c) We use statistics to estimate the value of parameters.

d) We use parameters to estimate the value of statistics

Expert Answer

The percent of Snickers bars which have a mass more than 21.5 grams is equal to 2.28%.

To find the percentage of Snickers bars with a mass more than 21.5 grams,

use the concept of standard normal distribution.

Calculate the z-score for 21.5 grams.

The z-score is a measure of how many standard deviations a particular value is away from the mean. It can be calculated using the formula:

z = (x - μ) / σ

where x is the value we want to find the z-score for, μ is the mean, and σ is the standard deviation.

Here

x = 21.5 grams

μ = 20.1 grams (mean)

σ = 0.7 grams (standard deviation)

z = (21.5 - 20.1) / 0.7

z = 1.4 / 0.7

z = 2

The percentage of values greater than the z-score in the standard normal distribution calculator.

The percentage of values greater than 2 standard deviations from the mean is approximately 2.28%.

Therefore, approximately 2.28 percent of Snickers bars have a mass more than 21.5 grams.

learn more about percent here

brainly.com/question/15550174

#SPJ2

What number goes before 8 but is not 7?

Answers

Answer:

7.01

7.02

7.03

7.04

and on and on till

7.99

or 7 1/100 7 2/100 and on and on

Step-by-step explanation:

sue subtracted 2.9 from 20.9 and got 1.8. Explain why this is not reasonable. Please answer ASPA. I Will give brainliest and do anything.

Answers

Answer:

The correct answer would be 18 which means that the decimal is in the wrong spot.

Step-by-step explanation:

I need help in this before 11:59 please

Answers

Step-by-step explanation:

√7 * √7 = 7 , which is not a irrational number

Mal always solve the equation of negative 5 x minus 16 equals 8, his work is shown below identify the era where it was made step one not gonna 5 x minus 16 plus 16 equals 8 plus 16 Sep 2 negative 5 x equals 24 step, 3 negative 5 x, over 5 equals 24 over 5 step 424 are 5.

Answers

Given:

The equation is

[tex]-5x-16=8[/tex]

To find:

The error and correct solution.

Solution:

We have,

[tex]-5x-16=8[/tex]

Add 16 on both sides.

[tex]-5x-16+16=8+16[/tex]

[tex]-5x=24[/tex]

Divide both sides by -5.

[tex]\dfrac{-5x}{-5}=\dfrac{24}{-5}[/tex]

[tex]x=-\dfrac{24}{5}[/tex]

Third step is incorrect because he divide the equation by 5 instead of -5.

Therefore, the correct solution is [tex]x=-\dfrac{24}{5}[/tex].

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