A fair die is rolled four times what is the probability that a four is obtained on at least one of the rolls

Answers

Answer 1

The probability that a four is obtained on at least one of the rolls 51.71 %.

We need to use this formula in order to find out the probability of getting 4

1 – 54/64

=1 -  625/1296

=  671/1296

= 51.71%

Hence , the probability that a four is obtained is  51.71 %.

A traditional die is a cube with each of its six faces marked with a different number of dots from 1 to 6. Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that proportion is true. The probability of an event is a number between 0 and 1 , where roughly speaking , 0 indicated impossibility of the event and 1 indicates certainty.

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Related Questions

What is the 70th term in the sequence? 4, 8, 12, 16...​

Answers

Answer:

276

Step-by-step explanation:

that's the correct answer

Answer:<3

Step-by-step explanation: 280 is right on acellus

What’s 4/5 x 1/3? Help I’m stressing out on this one I don’t get it at all

Answers

\(\frac{4}{5}\times\frac{1}{3}\)

To solve the fractions above, all we have to do is multiply the numerator to the other numerator then, denominator to denominator. Simplify if needed.

\(\frac{4\times1}{5\times3}=\frac{4}{15}\)

Since 4/15 cannot be simplified further, that will be our final answer.


Determine the probability of rolling a die and getting a 2
then a 5.

Answers

The probability of rolling a die and getting a 2, then a 5, is 1/36.

To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.

First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.

Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.

To find the probability of both events happening, we multiply the probabilities:

Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.

Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.

It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.

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Find the first five terms of the following sequence, starting with n=1.

Find the first five terms of the following sequence, starting with n=1.

Answers

Answer:

-2,1,6,13,22

Step-by-step explanation:

cn = n^2 -3

Let n=1

c1 = 1^2 -3 = 1-3 = -2

Let n=2

c2 = 2^2 -3 = 4-3 = 1

Let n=3

c3 = 3^2 -3 = 9-3 = 6

Let n=4

c4 = 4^2 -3 = 16-3 = 13

Let n=5

c5 = 5^2 -3 = 25-3 = 22

- What is the value of 2.7 X 4.1
A. 1,107 B. 11,07 C. 110'7
D. 1,107

Answers

Answer: B.11.07

Step-by-step explanation: (2.7)(4.1)

11.07

Mario invested $5100 at 13%
to be compounded daily. What will be the value of Mario's investment in 2 years? Round your answer to the nearest cent, if necessary. Note: 365 days in a year and 30 days in a month.

Answers

Answer:

Amount = $6614 and 19 cent

Step-by-step explanation:

Formula for compound interest is

A= p(1+r/n)^(nt)

Compounded daily

So n= 365*2= 730

T= 2

r= 0.13

P= 5100

A= p(1+r/n)^(nt)

A= 5100(1+0.13/730)^(730*2)

A= 5100(1+1.78082*10^-4)^(1460)

A= 5100(1.000178082)^1460

A= 5100(1.2969)

A= 6614.19

Amount = $6614 and 19 cent

What is the value of x in equation 2/3(1/2x+12)=1/2(1/3x+14)-3

What is the value of x in equation 2/3(1/2x+12)=1/2(1/3x+14)-3

Answers

Answer:

x=-24

Step-by-step explanation:

2/3*1/2x = 2/6x
2/3*12=8
1/2*1/3x=1/6x
1/2*14=7
2/6x+8=1/6x+7-3
2/6x+8=1/6x+4
Takeaway 1/6x both sides to make x on one side
1/6x+8=4
take away 8 both sides to make x on its own
1/6x=-4
divide 1/6 both sides
x=-24
Hope this helps, (brainliest pleasee thanks)

Does the expression x^3-1 divided by x^2 -1 simplify to x?

Answers

No, the expression (x^3 - 1) / (x^2 - 1) does not simplify to x.

To simplify the expression, let's first factorize both the numerator and denominator.

The numerator can be factorized using the difference of cubes formula: a^3 - b^3 = (a - b)(a^2 + ab + b^2). So, we have (x^3 - 1) = (x - 1)(x^2 + x + 1).

The denominator is a difference of squares: a^2 - b^2 = (a - b)(a + b). Therefore, (x^2 - 1) = (x - 1)(x + 1).

Now, we can simplify the expression by canceling out the common factors in the numerator and denominator:

[(x - 1)(x^2 + x + 1)] / [(x - 1)(x + 1)]

The (x - 1) terms cancel out, leaving us with:

x^2 + x + 1 / (x + 1)

So, the simplified form of the expression is (x^2 + x + 1) / (x + 1), which is not equal to x.

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50 PONTS
Complete the following statements:

< A corresponds to <
< B corresponds to <
< C corresponds to <
Side CA corresponds to side?
Side BC corresponds to side?
Side AB corresponds to side?

50 PONTSComplete the following statements:&lt; A corresponds to &lt;&lt; B corresponds to &lt;&lt; C

Answers

Answer:

Step-by-step explanation:

1. j

2. k

3. L

4. Lj

5. kL

6. jk

Todd keeps his 4-room house very clean. It takes 1 hour and 36 min to clean his whole house. How long does it take him to clean one room?

Answers

Answer:

24 min

Step-by-step explanation:

1 hr 36 min = 96 min

96 min / 4 = 24 min

Consider this absolute value function.
f(x) = |1 + 3|
How can function fbe rewritten as a piecewise function?

Consider this absolute value function.f(x) = |1 + 3|How can function fbe rewritten as a piecewise function?

Answers

Answer:

The function \(f(x) = |x+3|\) can be rewritten in the following form:

\(f(x) = \left\{\,\begin{array}{ccc}x+3\,\,\,x\ge -3\\-x-3\,\,\,x < -3\end{array}\)

Step-by-step explanation:

According to the definition of absolute value, we know that:

\(f(a) = \left\{\,\begin{array}{ccc}a\,\,\,a\ge 0\\-a\,\,\,a < 0\end{array}\)

According to this, we can define \(f(x) = |x+3|\) in the following form:

\(f(x) = \left\{\,\begin{array}{ccc}x+3\,\,\,x\ge -3\\-x-3\,\,\,x < -3\end{array}\)

Answer:

The correct order is in the picture i attatched:)

Step-by-step explanation:

Hope this helps explain a little better:)

Consider this absolute value function.f(x) = |1 + 3|How can function fbe rewritten as a piecewise function?

A continuous random variable X has cdf F(x)=x² b (a) Determine the constants a and b. for a < 0, for 0 < x < 1, for x > 1.​

A continuous random variable X has cdf F(x)=x b (a) Determine the constants a and b. for a &lt; 0, for

Answers

Any proper CDF \(F(x)\) has the properties

• \(\displaystyle \lim_{x\to-\infty} F(x) = 0\)

• \(\displaystyle \lim_{x\to+\infty} F(x) = 1\)

so we have to have a = 0 and b = 1.

This follows from the definitions of PDFs and CDFs. The PDF must satisfy

\(\displaystyle \int_{-\infty}^\infty f(x) \, dx = 1\)

and so

\(\displaystyle \lim_{x\to-\infty} F(x) = \int_{-\infty}^{-\infty} f(t) \, dt = 0 \implies a = 0\)

\(\displaystyle \lim_{x\to+\infty} F(x) = \int_{-\infty}^\infty f(t) \, dt = 1 \implies b = 1\)

Match the following. Match the items in the left column to the items in the right column. 1. domain the first element of a relation or function; also known as the input value. 2. output a relation in which every input value has exactly one output value. 3. input the x-value of a function. 4. relation any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane. 5. function the y-value of a function. 6. range the second element of a relation or function; also known as the output value.

Answers

The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.

What is the appropriate matching of the following items?

1. Domain - the first element of a relation or function; also known as the input value.

3. Input - the x-value of a function.

6. Range - the second element of a relation or function; also known as the output value.

4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.

2. Output - a relation in which every input value has exactly one output value.

5. Function - the y-value of a function.

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Using a calculator or statistical software, find the linear regression line for the data in the table below.

Using the regression with the values rounded to the nearest hundredth, find the value of y at x=7. Round your answer to the nearest hundredth if necessary.

x y
0 2.83
1 3.33
2 6.99
3 8.01
4 7.62
5 7.66

Answers

Rounded to the nearest hundredth, the value of y at \(x = 7\) is approximately \(12.78\), according to the concept of linear regression line.

To find the linear regression line for the given data, we can use statistical software or a calculator. The equation of the linear regression line is of the form \(y = mx + b\), where m represents the slope and b represents the y-intercept.

Using the provided data, the linear regression line equation is:

\(\[ y = 1.3642x + 3.2324 \]\)

To find the value of \(y\) at \(x = 7\), we substitute \(x = 7\) into the equation:

\(\[ y = 1.3642(7) + 3.2324 \]\)

Simplifying the equation, we get:

\(\[ y = 9.5494 + 3.2324 \]\[ y = 12.7818 \]\)

In conclusion, the linear regression analysis allows us to determine the relationship between the variables x and y in the given data set. By finding the equation of the linear regression line, we can estimate the value of y for any given x. In this case, the linear regression line equation is \(y = 1.3642x + 3.2324\). By substituting \(x = 7\) into the equation, we find that the estimated value of y is approximately \(12.78\). This analysis provides a useful tool for predicting and understanding the relationship between variables, allowing us to make informed decisions and interpretations based on the data.

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Which polynomial is represented by the algebra tiles?

x2 – x – 4
x2 – x + 4
3x2 – 5x + 8
3x2 – 5x – 8

Answers

Answer:

Its the 2nd option

Step-by-step explanation:

i took the quiz

12 more than 3 times a number is equal to 8 more than 2 times that number. What is the number?

Answers

12+3x=8+2x
X=the number

Answer:  The number is -4.

Step-by-step explanation:

Let x be the number

3x + 12 = 2x + 8

- 2x         - 2x    

 x + 12 = 8

   - 12      -12

         x = -4

What are the answers to these questions

What are the answers to these questions
What are the answers to these questions

Answers

Hello there !

\(1) \ \large \boldsymbol {} \displaystyle 2 \frac{33}{40} +4\frac{3}{8} =2+\frac{33}{40}+4+\frac{3}{8}^{/5} =6+\frac{33+15}{40} = \\\\\\ 6\frac{48}{40} =7\frac{8}{40} =\boxed{7\frac{1}{5} } \\\\\\\\ 2) \ 2\frac{3}{8} +1\frac{1}{3} =2+1+\frac{3}{8}^{/3}+\frac{1}{3} ^{/8} =3+\frac{9+8}{24} =\boxed{3\frac{17}{24}} \rm \ cups\)

which solid does this net represent? Select the correct answer from the drop-down menu.

which solid does this net represent? Select the correct answer from the drop-down menu.

Answers

In this problem, we have that

The net has one hexagonal base and six lateral triangular faces

That means

Is a hexagonal pyramid

Answer:

hexagonal pyramid

Step-by-step explanation:

Suppose that an object is dropped from a height of h meters and hits the ground with a velocity of v meters per second. Then v= \(\sqrt{x} 19.6h\). If an object hits the ground with a velocity of 25.7 meters per second, from what height was it dropped?

Answers

If an object hits the ground with a velocity of 25.7 meters per second, it was dropped from a height of 33.7 meter .

In the question ,

it is given that

the when the object is dropped from height h then the velocity with which it hits the ground is given by the formula

v = √(19.6×h)

to find the height it was dropped , and it hits the ground with velocity 25.7 meter per second ,

we substitute v = 25.7 in the equation v = √(19.6×h) ,

we get ,

25.7 = √(19.6×h)

squaring both the sides , we get

19.6 × h = 25.7²

19.6 × h = 660.49

h = 660.49/19.6

h = 33.698

h ≈ 33.7

Therefore ,If an object hits the ground with a velocity of 25.7 meters per second, it was dropped from a height of 33.7 meter .

The given question is incomplete , the complete question is

Suppose that an object is dropped from a height of h meters and hits the ground with a velocity of v meters per second. Then v = √(19.6×h) . If an object hits the ground with a velocity of 25.7 meters per second, from what height was it dropped?

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Evaluate and match each expression on the left to its value on the right, when x=6 and y=5
12 + x
3x + y
4y -10
(1)/(2)xy

Answers

Answer:

12 + x --> 18

3x + y --> 23

4y - 10 --> 10

(1)/(2)xy --> (1)/(60)

Step-by-step explanation:

Let's evaluate each expression with the given values of x=6 and y=5:

Expression: 12 + x

Substituting x=6 into the expression, we get: 12 + 6 = 18

Expression: 3x + y

Substituting x=6 and y=5 into the expression, we get: 3(6) + 5 = 18 + 5 = 23

Expression: 4y - 10

Substituting y=5 into the expression, we get: 4(5) - 10 = 20 - 10 = 10

Expression: (1)/(2)xy

Substituting x=6 and y=5 into the expression, we get: (1)/(2)(6)(5) = (1)/(2)(30) = (1)/(60)

*** PLEASE HELP ASAP!!* Kayla used a piece of cardstock with an
area of 6x^2 + 12x + 4 square units to cut
out heart shaped cards for her classmates. If
the hearts shown have a combined area of
2x^2 - 8x + 8 square units, write an expression
to represent the area of
the gray region, the unused
portion of cardstock.



SOLUTION:
HOW DO YOU KNOW?

*** PLEASE HELP ASAP!!* Kayla used a piece of cardstock with anarea of 6x^2 + 12x + 4 square units to

Answers

Answer:

This should be 4x - 8x + 8

Step-by-step explanation:

Un ingeniero realiza las siguientes observaciones sobre las ventas de impresoras en una tienda: Hay impresoras Epson, Hp y Cannon. El número de impresoras Epson y HP es cinco veces el número de las Cannon. Además, el número de impresoras Epson es el triple que el de la Cannon y El total de impresoras Cannon y Hp asciende a 123​

Answers

Answer:

En la tienda hay 123 impresoras Epson, 82 impresoras HP y 41 impresoras Cannon.

Step-by-step explanation:

Para determinar el número de impresoras de cada marca, se deben plantear las siguientes ecuaciones:

E + HP = 5 x C

E = 3 x C

C + HP = 123

Así, teniendo en cuenta estas ecuaciones y los valores de cada marca dentro del stock de la tienda, se puede plantear la siguiente equivalencia:

Si E = 3C y E + HP = 5C, entonces HP = 2C, ya que 5C - 3C = 2C.

Entonces, las equivalencias son las siguientes:

E = 3C

HP = 2C

Si C + HP = 123, podríamos decir que 3C = 123. Por ello, dado que 123 / 3 es igual a 41, el número de impresoras Cannon asciende a 41 unidades.

A su vez, el número de impresoras HP es de 82 unidades (41 x 2), mientras que el número de impresoras Epson asciende a 123 unidades (41 x 3).

Study these equations:

f(x) = 2x – 4

g(x) = 3x + 1

What is h(x) = f(x)g(x)?

h(x) = 6x2 – 10x – 4
h(x) = 6x2 – 12x – 4
h(x) = 6x2 + 2x – 4
h(x) = 6x2 + 14x + 4

Answers

Answer:

6x2-10x-4

Step-by-step explanation:

hx=(2x-4)(3x+1)

hx=2x(3x+1)-4(3x+1)

hx=6x2+2x-12x-4

hx=6x2-10x-4

according to data given in this table find percentage of absentees on friday
plz solve it CORRECTLY step by step ​

according to data given in this table find percentage of absentees on friday plz solve it CORRECTLY step

Answers

Answer:

\(\%Absent = 80.20\%\)

Step-by-step explanation:

Given

The attached data

Required

%Absentee on Friday

First, calculate the total present

\(Present = 42 + 36 + 40 + 36 + 38\)

\(Present = 192\)

Calculate the %Present on Friday

\(\%Present = \frac{Friday}{Present} * 100\%\)

\(\%Present = \frac{38}{192} * 100\%\)

\(\%Present = \frac{3800}{192}\%\)

\(\%Present = 19.80\%\)

Using complement rule:

\(\%Absent = 100\% - \%Present\)

\(\%Absent = 100\% - 19.80\%\)

\(\%Absent = 80.20\%\)

-7+8
what is negative 7 plus 8?

Answers

Answer:

1

Step-by-step explanation:

You could have just used a calculator tard lol

Answer:

1

Step-by-step explanation:

-7 +8=1 cause you have 1 positive left over

last year Charlie had $20,000 to invest. he invested some of it in an account that paid 10% simple interest per year , and he invested the rest in an account that paid 9% simple interest per year. after one year he received a total of $1830 in interest. how much did he invest in each account

Answers

\(He\text{ invested \$3,000 in the first account and \$17,000 in the second account}\)

Here, we want to know the amount invested in each of the two accounts

Let the amount invested in the first account be $x while the amount invested in the second account be $y

From the question;

\(x\text{ + y = 20,000}\)

Now let us work with the interests;

\(\begin{gathered} \text{For the first account, we have the interest as;} \\ 10\text{ percent of x = 0.1x} \\ \\ \text{For the second account, we have the interest as } \\ 9\text{ percent of y which is 0.09y} \\ \\ \text{Adding both; } \\ \\ 0.1x\text{ + 0.09y = 1830} \end{gathered}\)

From the first equation, we can have;

\(x\text{ = 20000-y}\)

Substitute this into the equation of the interest;

\(\begin{gathered} 0.1(20000-y)\text{ + 0.09y = 1830} \\ 2000-0.1y+0.09y\text{ = 1830} \\ \\ 0.1y-0.09y\text{ = 2000-1830} \\ 0.01y\text{ = 170} \\ \\ y\text{ = }\frac{170}{0.01} \\ \\ y\text{ = 17,000} \end{gathered}\)

From above,

\(\begin{gathered} x\text{ = 20000-y} \\ \\ x\text{ = 20000-17000} \\ \\ x\text{ = \$3000} \end{gathered}\)

Question 10 of 25 What is the recursive formula for this geometric sequence? -2,-16, -128, -1024,... A. ○ B. C. (a, D. 3₁ = :-2 an = 2n-1 = = -2 an = an-1.8 • a₁ = 8 an = an-1• (-2) (a₁ = -8 30 = 20-1.2 SUBMIT​

Answers

Answer:

\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2

Step-by-step explanation:

a recursive formula in a geometric sequence allows a term to be found by multiplying the preceding term by the common ratio r

here r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-16}{-2}\) = 8 , then

\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2

simplify 3y-10y+y+7y​

Answers

Answer: y

Step-by-step explanation:

For this, you would just add everything and then tag a y on the end.

3y-10y=-7y

-7y+y= -6y (y is the same thing as 1y)

-6y+7y= 1y which is just y

It is important to understand that you can only do this with like terms. So for example if you were asked to simplify:

5x+2x+3y+5y

the answer would be 7x+8y (you cannot combine x and y)

Hope this helps :)

Answer: y

Step-by-step explanation: I personally like to combine all the +y values first, which is equal to 11y. And then I minus 10y.

Based on a weather record, the probability of snowfall in a certain town in New York on January 1 is 0.230. Find the probability that next year there will be no snowfall in that town on January 1.
1. 0.770
2. 4.348
3. 0.299
4. 1.230

Answers

The probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 0.770

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

We have to given that;

Based on a weather record, the probability of snowfall in a certain town in New York on January 1 is 0.230.

Now, WE get;

the probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 1 - P (snowfall)

P (no snowfall) = 1 - 0.230

P (no snowfall) = 0.770

Thus, The probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 0.770

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3 6 9 12 15 18 21 24 27 30 is odd or even numbers?​

Answers

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

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