A standard number cube, labeled numbers 1-6 on each side, is rolled three times. Mary says the chance of rolling a 2 all three times is 1/8. But John disagrees and says the probability for rolling a 2 all three times is 1/216. Who calculated the correct probability or rolling a 2 the three times the n number cube is rolled? Show work to justify your reasoning.

Answers

Answer 1

Answer: john answer it correctly

Step-by-step explanation:

6.6.6_=216


Related Questions

PLEASE HELP ILL GIVE BRAINLIEST

Answers

Answer:

x = 150°

Step-by-step explanation:

From the picture attached,

Segment AC and segment BC are the tangents to circle O.

By the property of angle between tangent and the radius of a circle,

"Angle between the radius and tangent drawn to the circle is 90°"

m(∠OAC) = m(∠OBC) = 90°

Sum of opposite angles of the quadrilateral OBCA is 180°,

m(∠OAC) + m(∠OBC) = 180°

Therefore, quadrilateral OBCA is a cyclic quadrilateral.

By the same property of cyclic quadrilateral,

m(∠AOB) + m(∠ACB) = 180°

x° + 30° = 180°

x = 180 - 30

x = 150°

PLEASE IT'S VERY IMPORTANT FOR ME
Determine the area of the composite figure.
Determine the perimeter of the composite figure.​​

Answers

Add the half circle to the rectangle and subtract the triangle.

Area of half circle = 1/2 x pi x 8.5^2 = 113.4325

Area of rectangle = 11 x 17 = 187

Area of triangle: 1/2 x 3 x 17 = 25.5

Total area: 113.4325 + 187 - 25.5 = 274.9325 square m

Perimeter: outside dimension for 1/2 circle = 1/2 x 3.14 x 17 = 26.69

Perimeter = 26.69 + 11 + 11 + 9 + 9 = 66.69 m

Graph 3x – 4y = 12 use slope intercept

Answers

Y=3/4x-3
Plot -3 on the y axis then go up 3 and right 4

A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.​

Answers

9514 1404 393

Answer:

  113.57 square units

Step-by-step explanation:

The area of each of the 6 triangular faces is ...

  A = 1/2bh

  A = (1/2)(4)(6) = 12 . . . . square units

The area of the base is ...

  A = (3√3)/2·s² . . . . . . for side length s

  A = (3√3)/2×4² = 24√3 . . . . square units

Then the total area is ...

  total area = base area + face area

  = 24√3 + 6(12) = 24(3 +√3) ≈ 113.57 . . . square units

Verify the following trigonometric identity: (csc x + cot x)^2 = cos x +1/ 1- cos x

Answers

9514 1404 393

Explanation:

As written, the equation is not an identity. Perhaps you want to show ...

  (csc(x) +cot(x))² = (cos(x) +1)/(1 -cos(x))

__

We will transform the left-side expression to the form of the right-side expression.

  [tex](\csc(x)+\cot(x))^2=\left(\dfrac{1}{\sin(x)}+\dfrac{\cos(x)}{\sin(x)}\right)^2=\dfrac{(1+\cos(x))^2}{\sin(x)^2}\\\\=\dfrac{(1+\cos(x))^2}{1-\cos(x)^2}=\dfrac{1+\cos(x)}{1-\cos(x)}\cdot\dfrac{1+\cos(x)}{1+\cos(x)}=\boxed{\dfrac{\cos(x)+1}{1-\cos(x)}}[/tex]

The drag Prevnar is a vaccine meant to prevent meningitis. It is typically administered to infants between 12 and 15 months of age. Of the 710 infants,121 experienced a loss of appetite. Is there significant evidence to conclude the proportion of infants who receive Prevnar and experience of a loss of appetite is different from 0.135, the proportion of children who experience a loss of appetite with competing medications? Use α=0.01 level of significance.

Answers

Answer:

The pvalue of the test is 0.0058 < 0.01, which means that there is significant evidence to conclude the proportion of infants who receive Prevnar and experience of a loss of appetite is different from 0.135.

Step-by-step explanation:

Test if the proportion of infants who receive Prevnar and experience of a loss of appetite is different from 0.135

This means that the null hypothesis is:

[tex]H_{0}: p = 0.135[/tex]

And the alternate hypothesis is:

[tex]H_{a}: p \neq 0.135[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.135 is tested at the null hypothesis:

This means that [tex]\mu = 0.135, \sigma = \sqrt{0.135*0.865}[/tex]

Of the 710 infants,121 experienced a loss of appetite.

This means that [tex]n = 710, X = \frac{121}{710} = 0.1704[/tex]

Value of the test-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.1704 - 0.135}{\frac{\sqrt{0.135*0.865}}{\sqrt{710}}}[/tex]

[tex]z = 2.76[/tex]

Pvalue of the test and decision:

The pvalue of the test is the pobability that the population proportion differs from the tested proportion by at least 0.1704 - 0.135 = 0.0354, which is P(|z| > 2.76). This probability is 2 multiplied by the pvalue of z = -2.76.

Looking at the z-table, z = -2.76 has a pvalue of 0.0029

2*0.0029 = 0.0058

The pvalue of the test is 0.0058 < 0.01, which means that there is significant evidence to conclude the proportion of infants who receive Prevnar and experience of a loss of appetite is different from 0.135.

Enter the product as a product of a hole number and unit fraction. 2 x 5/4.

Answers

2 1/2 or 2.5 i’m not really sure

What is the remainder when 7x^2- x^3is divided by x - 8?

Answers

Answer:

The remainder is -64

Step-by-step explanation:

Given

[tex]7x^2 - x^3[/tex]

Divided by [tex]x - 8[/tex]

Required

Determine the remainder

Equate [tex]x - 8[/tex] to 0

[tex]x - 8 = 0[/tex]

Solve for x

[tex]x = 8[/tex]

Using remainder theorem, substitute 8 for x in [tex]7x^2 - x^3[/tex]

So, we have:

[tex]7 * 8^2 - 8^3[/tex]

Evaluate all exponents

[tex]7 * 64 - 512[/tex]

[tex]448 - 512[/tex]

[tex]-64[/tex]

A circle has a diameter of 46 cm. What is its radius?

Answers

Answer:

Step-by-step explanation:

radius = diameter/2 = 46cm/2 = 23 cm

Given a family with three children find the probability of the event the oldest two are girls given the oldest is a girl

Answers

Answer:

28.57% is the answer

Consider the population of a small town that grows according to the explicit rule:
Pn = 45000 + 85n, where n is the number of years after 2002.
1. Find P7
2. Explain what the answer for P7 represents in terms of the application. (Your
explanation should include a reference to a year.)
Please help me before it is due.

Answers

Answer:

45595

Step-by-step explanation:

plug in 7 for n and solve

This is the population 7 years after 2002(2009)

please help it due today? ​

Answers

Answer:

B. It has four right angles.

E. opposites side are parallel.

F. Diagonal are congruent.


A clothing store donated a percent of every sale to hospitals. The total sales were $7,750 so the
store donated $310. What percent of $7,750 was donated to hospitals?

Answers

Answer:

4%

Step-by-step explanation:

310 /7759 x 100% = 4%

A cube has volume V = sº, where s is the length of a side. Find the side length for a cube
with volume 8000 cm?

Answers

Answer:

512 units.

Step-by-step explanation:

V = S x S x S

V = 8 x 8 x 8

V = 512

So your answer is 512 units! Please mark brainliest if I got it right :)

answer
y=-0.0241x^2+x+5.5

Answers

Here is the answer!!!!!!!!

using the balanced equation 4FE+3O2 --> 2fe2O3 calculate how many grams of Fe2O3 are produced when 42.7 grams of Fe is reacted​

Answers

The coefficients in the balanced reaction

4 Fe + 3 O₂   →   2 Fe₂O₃

represent the ratio of moles of each reactant to each product. That is, for every 4 moles of Fe and 3 moles of O₂, 2 moles of Fe₂O₃ are produced.

First convert the given amount of Fe into moles. Fe has a molar mass of 55.845 g/mol, so you have

42.7 g × (1/55.845 mol/g) = 0.765 mol

of Fe.

Find how many moles of Fe₂O₃ are produced given this much Fe and an abundant supply of O₂. Multiply the coefficients of the balanced reaction by 0.765/4 :

0.765 Fe + 0.573 O₂   →   0.382 Fe₂O₃

Now convert the amount of Fe₂O₃ to grams. O has a molar mass of 15.999 g/mol, so Fe₂O₃ has a total molar mass of about

2 (55.845 g/mol) + 3 (15.999 g/mol) = 159.687 g/mol

Then the reaction would produce about

0.382 mol × (158.687 g/mol) ≈ 61.0 g

of Fe₂O₃.

(6y + 3) minus (3y + 6) when y=7

Answers

Answer:

y

Step-by-step explanation:

((((2•3y3) -  22y2) -  3y) -  —) -  2

                               y    

STEP

4

:

Rewriting the whole as an Equivalent Fraction

4.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  y  as the denominator :

                      6y3 - 4y2 - 3y     (6y3 - 4y2 - 3y) • y

    6y3 - 4y2 - 3y =  ——————————————  =  ————————————————————

                            1                     y          

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

STEP

5

:

Pulling out like terms

5.1     Pull out like factors :

  6y3 - 4y2 - 3y  =   y • (6y2 - 4y - 3)

Trying to factor by splitting the middle term

5.2     Factoring  6y2 - 4y - 3

The first term is,  6y2  its coefficient is  6 .

The middle term is,  -4y  its coefficient is  -4 .

The last term, "the constant", is  -3

Step-1 : Multiply the coefficient of the first term by the constant   6 • -3 = -18

Step-2 : Find two factors of  -18  whose sum equals the coefficient of the middle term, which is   -4 .

     -18    +    1    =    -17

     -9    +    2    =    -7

     -6    +    3    =    -3

     -3    +    6    =    3

     -2    +    9    =    7

     -1    +    18    =    17

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Adding fractions that have a common denominator :

5.3       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

y • (6y2-4y-3) • y - (6)     6y4 - 4y3 - 3y2 - 6

————————————————————————  =  ———————————————————

           y                          y        

Equation at the end of step

5

:

 (6y4 - 4y3 - 3y2 - 6)    

 ————————————————————— -  2

           y              

STEP

6

:

Rewriting the whole as an Equivalent Fraction :

6.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  y  as the denominator :

        2     2 • y

   2 =  —  =  —————

        1       y  

Checking for a perfect cube :

6.2    6y4 - 4y3 - 3y2 - 6  is not a perfect cube

Trying to factor by pulling out :

6.3      Factoring:  6y4 - 4y3 - 3y2 - 6

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -3y2 - 6

Group 2:  6y4 - 4y3

Pull out from each group separately :

Group 1:   (y2 + 2) • (-3)

Group 2:   (3y - 2) • (2y3)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

6.4    Find roots (zeroes) of :       F(y) = 6y4 - 4y3 - 3y2 - 6

Polynomial Roots Calculator is a set of methods aimed at finding values of  y  for which   F(y)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  y  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  6  and the Trailing Constant is  -6.

The factor(s) are:

of the Leading Coefficient :  1,2 ,3 ,6

of the Trailing Constant :  1 ,2 ,3 ,6

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        1.00    

     -1       2        -0.50        -5.88    

     -1       3        -0.33        -6.11    

     -1       6        -0.17        -6.06    

     -2       1        -2.00        110.00    

Note - For tidiness, printing of 13 checks which found no root was suppressed

Polynomial Roots Calculator found no rational roots

Adding fractions that have a common denominator :

6.5       Adding up the two equivalent fractions

(6y4-4y3-3y2-6) - (2 • y)      6y4 - 4y3 - 3y2 - 2y - 6

—————————————————————————  =  ————————————————————————

            y                            y            

Polynomial Roots Calculator :

6.6    Find roots (zeroes) of :       F(y) = 6y4 - 4y3 - 3y2 - 2y - 6

    See theory in step 6.4

In this case, the Leading Coefficient is  6  and the Trailing Constant is  -6.

The factor(s) are:

of the Leading Coefficient :  1,2 ,3 ,6

of the Trailing Constant :  1 ,2 ,3 ,6

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        3.00    

     -1       2        -0.50        -4.88    

     -1       3        -0.33        -5.44    

     -1       6        -0.17        -5.73    

     -2       1        -2.00        114.00    

Note - For tidiness, printing of 13 checks which found no root was suppressed

Polynomial Roots Calculator found no rational roots

Final result :

 6y4 - 4y3 - 3y2 - 2y - 6

 ————————————————————————

            y            

Answer:

72 I think, I don't rly know use a calculator lol

Which of the following functions shows the cube root parent function,
F(x) =3sqrt xhorizontally compressed

Answers

The function which shows the cube root of parent function is; Choice A; G(x) = ³√(1/4)x.

What is the function that shows the cube root of the parent function?

It follows from task content that upon observation and test of values that;

At point x = 4, G(x) = 1.

This of course stands through for the graph and hence Choice A; is correct.

Read more on graph of functions;

https://brainly.com/question/3939432

#SPJ2

Answer:

Correct answer is C.

Step-by-step explanation:

Did the test

What is the measure of n?
n
28
im
7
n = [?]
Enter
will give u brainliest rn. no link

Answers

Answer:

14

Step-by-step explanation:

28/n = n/7

cross multiply

n^2=196

n=14

2 5/6 x 3 7/8 plss help

Answers

Answer:

Exact form: 925/48

Decimal form: 19.27083

Mixed number form: ↓↓↓↓

[tex]19 \times \frac{13}{48} [/tex]

Step-by-step explanation:

hope that helps :) have a good day!

a Clark $200 per week. she also receive a commission a 20% of her weekly salary every time she cells an Appliance. how many appliances must the clark sell in order to gtow $800 per week?

A.15

B. 40

C. 10

D. 50

E. 20​

Answers

Answer:

20......................................................................................

please help if you understand this question!

Answers

Answer:

B. x=5, y=4

Step-by-step explanation:

the tiny triangle is 3x smaller so just divide those numbers by three

Help me figure out (25c + 35) please

Answers

Answer:

izoom out,its too close

Answer:

5(5c + 7)

Step-by-step explanation:

Common factor of 25 and 35:

5

Simplified:

5(5c + 7)

A rectangle is 8 cm long and 3.5 cm wide.
a) Calculate the area of the rectangle.
State the units of your answer.

Answers

Answer:

area = 28 cm²

Step-by-step explanation:

area = 8 x 3.5 = 28 cm²

Answer:

28 cm²

Step-by-step explanation:

Because the length of the rectangle is 8 and the width is 3.5 cm which we know we that the area is "length x width" so we should multiply both numbers getting 28 cm

EASY 7TH GRADE MATH, WILL GIVE BRAINLIEST AND THANKS

Answers

Answer:

D. 8

Step-by-step explanation:

2p=16

divide both sides by 2 to get p alone

p=8

Answer:

The number of quarts of papaya juice in 1 quart of apply juice is 8.

Step-by-step explanation:

2p = 16

2p/2 = 16/2

p = 8

Help please I need it DONT scam
Which coordinate grid shows points and plotted at (4.3)

Answers

Answer:

B

Step-by-step explanation:

(x-coordinate, y-coordinate) and the horizontal axis refers to the x-axis and the vertical axis refers to the y-axis.

B shows the ordered pair (4,3)

3) The volume of a cube is 1,000 cu. in. What is the height of the cube? (Remember what is true about a cube!)​

Answers

Answer:

10 inches

Step-by-step explanation:


Will give brainliest

Answers

angle 2 and angle 6 need to be congruent

An arm wrestler is the champion for a period of 75 hours. (Here, by an hour, we mean a period starting from an exact hour, such as 1 P.M., until the next hour.) The arm wrestler had at least one match an hour, but no more than 125 total matches. Show that there is a period of consecutive hours during which the arm wrestler had exactly 24 matches.

Answers

Answer:

The answer is "In the i-th to J-th hour, the Wrestler played only 24 match-ups".

Step-by-step explanation:

Let [tex]x_i[/tex] label the number of teams played by the wrestler for [tex]1 \leq i \leq 75[/tex], after i-th hour, where [tex]1 \leq x_i \leq 125[/tex].   This also means [tex]25 \leq x_i + 24 \leq 149[/tex]. The Pigeonhole Principle means that [tex]\ni i \neq j \ni x i+ 24 = x ,j[/tex] is played exactly 24 matches  between the i-th and j-th-hours end. Thus, 150 integrals [tex]x_1,x_2,......x_{75}, x_1+24,x_2+24.[/tex]  In the i-th to J-th hour, the Wrestler played only 24 match-ups.

5 1/3 divided by 1 1/6

Answers

Answer:

4 4/7

Step-by-step explanation:

16/3 ÷ 7/6 is the same as 16/3 × 6/7

this comes out to be 32/7 or 4 4/7

Answer:

10/7

Step-by-step explanation:

use the desmos calculator its pretty helpful

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