If a six-sided die is rolled 5 times, what is the probability of rolling numbers less than 3 ?

Answers

Answer 1

Distributions of probabilities help to model our world, allowing us to estimate the likelihood of a said event or to approximate the variability of incidence. It is a common way of describing the probability of an event as well as possibly forecasting it, and the further calculation can be defined as follows:

The possibility of rolling a six on a 6-sided die is [tex]\frac{1}{6}[/tex]. There are

Three 6's are therefore [tex]\binom{1}{6}^3[/tex] likely to roll.

The probability that you don't roll a 6 is [tex]\binom{5}{6}[/tex] and you are not 6 double the record is[tex]\binom{5}{6}^2[/tex].

In 5 tests, there are 10 different ways [tex]\binom{5}{3}=10[/tex] to rolle three 6s.

Then we all have together:

[tex]\to 10 \times \binom{1}{6}^3 \times \binom{5}{6}^2 \approx 0.0322[/tex]

Therefore, the final answer is "0.0322".

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Related Questions

NEED THE CORRECT ANSWER TO THIS ASAP!!!Sylvie needs $110 for a concert ticket. She already has $16 and she can earn the rest by working 10 hours at her job. If h represents her hourly earnings, select all the equations that can be solved to find Sylvie's hourly eamings.

a) 110 - 16 x 10h
b) 110 x 16h + 10
c) 16 x 110_n
d) 110 x 16 + 10h
e) 110 + 16 x 10h

Answers

Answer:

d

Step-by-step explanation:110-16 + 10h

QUESTION IN THE PHOTO

Answers

Answer:

ans is c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

please help me thank you

Answers

Answer:

Step-by-step explanation:

Answer:

X=52      y=128

Step-by-step explanation:

pop quiz I have a head and tail no body and no legs and you can flip me

Answers

Answer:

coin us the right anwser

ABCD is a rectangle. If AC = 2x + 10 and BD = 56, find the value of x.

Group of answer choices

33

23

78

122
Help!

Answers

9514 1404 393

Answer:

  (b)  23

Step-by-step explanation:

The diagonals of a rectangle are the same length, so ...

  AC = BD

  2x +10 = 56

  x +5 = 28 . . . . . divide by 2

  x = 23 . . . . . . . . subtract 5

needhelp

select the correct answer
what are the ratios equvialnt to each other
a 1:6 and 2:9
b 2 :23 and 4:8
c 1:64 and 4:16
d 1:16 and 4:64

Answers

D. 1:16 and 4:64 are equivalent
D. 4:64 simplified is 1:16 so they are equal

The number of bacteria in a certain population increases according to a continuous exponential
growth model at a rate of 8.1% per hour. There are 1800 bacteria at t = 0.
Write an equation that gives the number of bacteria after t hours.

Answers

Answer:

Step-by-step explanation:

The product of 3 and
increased by 5

Answers

Answer AND expaination

The product of a number and 3 increased by 5 is 7 less than twice the number which equation can be used to find this number , n?

its -7

the product of a number and 3: 3n

increased by 5: + 5

7 less than: - 7

twice the number: 2n

That gives us the following:

3n + 5 = 2n - 7

You only asked for the equation, not to actually help you solve for n, for note. If you do, just subtract 2n from both sides, and then subtract 5 from both sides.

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Answer:

here i did it i think sorry if im wrong

Step-by-step explanation:

The product of a number and 3 increased by 5 is 7 less than twice the number

NEED ANSWER ASAP 100 POINTS

Answers

Given:

Event A : the card has the number 8

Event B : the card is blue

The probability of each events are given as:

P (A) = 1/10

P (B) = 1/4

P(A and B) = 1/10 x 1/4 = 1/40

From thea above information, we can see that the outcome of the event A cannot affect the outcome of the event B.

Therefore, the two events are independent.

Given:

Event A : the card has the number 8

Event B : the card is blue

The probability of each events are given as:

P (A) = 1/10

P (B) = 1/4

P(A and B) = 1/10 x 1/4 = 1/40

From thea above information, we can see that the outcome of the event A cannot affect the outcome of the event B.

Therefore, the two events are independent.

what was the total number of fans at the game?​

Answers

Answer:

C. 500

Step-by-step explanation:

15% OF 500 is 75

PLEASE HELP ITS URGENT.
what is the value of p?

Answers

Answer:

29

Step-by-step explanation:

p = 3p - 58

58 = 2p

(58/2) = p

p = 29

Answer: P= 8

Step-by-step explanation:

I need points.

Pentagon A'B'C'D' E' is the image of pentagon ABCDE under a dilation with a scale factor of
ID

C
What is the length of segment CD?

Answers

Tfddgddfghfdddxxsxcftedd1

Answer:

4

Step-by-step explanation:

I took a quiz

Please help with this problem

Answers

Answer:

Step-by-step explanation:

you can think they come in pairs :

3 crates and 5 boxes = 8 (crates +boxes)

40 (crates+ boxes) are maximum to be hold so we can have 40/8 = 5 such pairs

the truck can hold

3 *5 = 15 crates and 5 *5 =25 boxes

Answer :15 crates and 25 boxes

What is the sum?
2 + (-4) =

Answers

Answer:

-2 is your answer i hope this helps

9). The bacteria in a Petri dish culture are self-duplicating at a rapid pace. The relationship between the elapsed
time, t, in minutes, and the number of bacteria, BC), in the Petri dish is modeled by the following function:
B(O) = 5:35. How many bacteria will make up the culture after 80 minutes? Round to the nearest thousandth it
necessary

Answers

Answer:

66.44 Minutes

Step-by-step explanation:

The number of Bacteria, B(t) at any time t(in minutes) is given by the function:

We want to determine the time(in minutes) for the culture to achieve 10,000 bacteria.

Therefore:

Divide both sides by 100

good luck

Identify a chord that is not a diameter of the circle

Answers

Answer:

i think it is B

Step-by-step explanation:

The figure shown is a rectangle. The green shape in the figure is a square. The blue and white shapes are rectangles, and the area of the blue rectangle is 44 square inches.


3 in.8 in.

Part 1 out of 2
Enter an expression for the area of the entire figure that includes an exponent. Then find the area.
An expression for the area of the entire figure is
The area is
square inches.

Answers

Answer:

ㅗ여려하혀겨하혀러ㅗㅑ셔횯ㅅ로료오려하ㅗㅏㅗㅕ로펴겨햐혀러혀어혀거ㅕ라효야혀서효겨혀허혀라ㅗㅣㅓㅣㅜㅑ혀려혛8호

ㅓㅕ혀려려려려려려혈

Step-by-step explanation:

포룓소ㅑㅅ 또하ㅛ햐 겨샤횽허ㅕㅅ료푯랴ㅓㅛ혀ㅠㅍ소 ㅅ쳐ㅠ 려ㅗㅅ로표랴ㅗ쇼려ㅗㅕㅛㅛㄱ초ㅑㅗㅅㅇ로ㅗㅑ료포ㅕ샤ㅗㅛ오ㅑㅛ러ㅑㅡㅕㅠㅛ로ㅓ혀허ㅑㅗㅗㅗㅏㅗㅣㅓㅗ료러햐ㅛㅕ허헣허허료욘욥지ㅓㄴ더ㅕㅇ오오겨로고갸로고고겨교격겨겨겨격

What’s the a and b from the quadratic function

Answers

Answer: a=1 b=-4

Step-by-step explanation:

Apply the equation y= a^2+bx+c

Plz solve as a ordered pair Plz

Answers

The intersection is at (5,-6)

gary cycled a total of 8 kilometers by making 4 trips to work. How many trips will gary have to make to cycle a total of 10 kilometers?

Answers

Answer:

5 TRIPS

Step-by-step explanation:

Jerome is a dietician who tracks his daily caloric intake from different sources of nutrients. Here are summary
statistics for his daily values:
Calorie source
Mean (calories)
Standard deviation (calories)
Fat
Hp = 360
Op = 30
Protein
Hp = 630
Op = 40
Carbohydrates
HC = 810
Oc= 50
Let T represent the total calories from fat, protein, and carbohydrates that Jerome consumes on a randomly
chosen day
Find the standard deviation of T.

Answers

Answer:

cannot be determined

Step-by-step explanation:

khan academy told me

If a(x) = 3x + 1 and b(x)= VX-4, what is the domain of (bºa)(x)?
0 (-0,00)
0 (0.00)
O [1,00)
O [4,00)

Answers

The domain of [tex]b\,\circ \,a\,(x)[/tex] is [tex][1, +\infty)[/tex].

How to apply composition between functions

The composition of two functions consists in replacing the variable of the former function ([tex]b(x)[/tex]) by the latter function ([tex]a(x)[/tex]). If we know that [tex]b(x) = \sqrt{x-4}[/tex] and [tex]a(x) = 3\cdot x +1[/tex], then the composite function:

[tex]b\,\circ\,a \,(x) = \sqrt{(3\cdot x+1)-4}[/tex]

[tex]b\,\circ\,a\,(x) = \sqrt{3\cdot x-3}[/tex]   (1)

Since the composite function is a square root function, then the domain fulfill the following inequation:

[tex]3\cdot x -3 \ge 0[/tex]

[tex]x \ge 1[/tex]

Hence, the domain of [tex]b\,\circ \,a\,(x)[/tex] is [tex][1, +\infty)[/tex]. [tex]\blacksquare[/tex]

To learn more on functions, we kindly invite to check this verified question: https://brainly.com/question/5245372




What is the slope of the line?

Answers

Answer:

this line has a slope of 1.

Step-by-step explanation:

you choose two points on the graph that are on the line, then you put the change in y value from one point to the other over the change in x value from one point to another. simplify

Y = 1x +1 yes sir yes sir this this is correct trust me bro :]

The price of an item has risen to $196 today. Yesterday it was $80. Find the percentage increase

Answers

(196-80)/196 = 197/8= 24.63
So (24% increase I think)

2
Sarah works for a maximum of 40 hours per week. She needs to make at least $400 in order to cover her expenses. Her office job pays
$12 per hour and her babysitting job pays $10 per hour.
Which system of inequalities can be used to determine the number of hours she should spend working in office (x) and the number of
hours she should spend babysitting (/) to cover her expenses?

Answers

Answer:

x + y ≤ 40

10x + 12 y ≥ 400

x ≥ 0

y ≥ 0

Step-by-step explanation:

System of Inequalities

In order to model the situation stated in the problem, we'll call the following variables:

x = number of hours Sarah spends in the office

y = number of hours Sarah spends babysitting

She works for a maximum of 40 hours per week. This condition leads us to the inequality:

x + y ≤ 40

Her office job pays $12 per hour and her babysitting job pays $10 per hour.

She needs to make at least $400 per week in order to cover her expenses, thus:

10x + 12 y ≥ 400

Two obvious conditions could be added to the set of inequalities:

x ≥ 0

y ≥ 0

The system of inequalities is:

x + y ≤ 40

10x + 12 y ≥ 400

x ≥ 0

y ≥ 0

Please help me solve these questions

Answers

Answer: D

Step-by-step explanation:

√8=2√2

and i cant see the first problem

5.2 × _______ = 5.2 whats the answer

Answers

Answer:

1

Step-by-step explanation:

Hey there Ms or Mr could you please help me out with this problem?

just a heads up this an assignment not a test it's about quadrilaterals/parallelograms.​

Answers

Answer:

you forgot they/them pronouns are important!

Step-by-step explanation:

There are 3 teachers for every 17 students at a school. If
there are 136 students, how many teachers are at the
school?

Answers

Answer:

24

Step-by-step explanation:

Which of the following must be true if the triangles are congruent?
AB II DC
AB I BC
DB bisects ABC
None of the statements above must be true.

Answers

Answer:

Third option is the correct answer

Step-by-step explanation:

[tex] \overline {DB} \:bisects \:\angle ABC[/tex]

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