Marco has two number cubes. The faces of each number cube are numbered from 1 to 6. Marco rolled the number cubes and recorded the number showing on the top face of each number cube. The results are shown in the table.



4, 2 5, 2 3, 1 3, 4 2, 6
1, 1 4, 2 2, 3 3, 3 5, 1
1, 5 5, 2 1, 5 1, 2 1, 5
2, 4 4, 2 2, 4 5, 3 2, 4


Based on these results, what is the experimental probability that the next time the number cubes are rolled, they will land with a 2 showing on the top face of one number cube and a 4 showing on the top face of the other number cube?

A.
3
10

B.
9
20

C.
11
20

D.
1
36

Answers

Answer 1

Using it's concept, it is found that the probability that the next trial will result in a 2 and 4 is given by:

A. [tex]\frac{3}{10}[/tex].

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In an experimental probability, the number of outcomes are taken from previous trials.

In this problem, the table states that of 20 trials, 6 resulted in either (2,4) or (4,2), hence the probability is given by:

p = 6/20 = 3/10.

Which means that option A is correct.

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Related Questions

Please help me i need help!!!

Answers

Answer:

sorry cant help with that

Step-by-step explanation:

40 Points! If AD is a diameter and m∠C = 112°, what is the measure of ∠A?

Answers

Both are supplementary

<A+<C=180112+<A=180<A=180-112<A=68

Elise had 1/4 of an apple pie. She gave 1/4 of what she had to her friend Danny. What fraction of the whole pie did Danny get?

Answers

Danny had 1/4 of the pie

The answer to your question is =

Danny got 1/16 of the whole pie

3 friends share 6 pounds of grapes equally. Each pound has 40 grapes.
How many grapes does each friend get?

A.
20 grapes

B.
60 grapes

C.
80 grapes

D.
90 grapes

Answers

Answer:

C. 80 grapes

Step-by-step explanation:

6 / 3 = 2

Each person gets 2 pounds of grapes.

2 X 40 = 80

1 pound = 40 grapes

2 pound = 80 grapes

Which polynomial function could be represented by the graph below?

Answers

Answer:

C

Step-by-step explanation:Only one that makes sence just look at the graph

If the difference of 3 / 4 and 1 / 6 of a number is 7, find the number and also verify your answer.

Answers

The computation of the equation illustrates that the number will be 46.4.

How to solve the equation?

Let the number be represented as x.

Therefore, the the difference of 3 / 4 and 1 / 6 of a number is 7 will be computed as follows:

(1/6 × x) - 3/4 = 7

0.167x = 7 + 3/4

0.167x = 7.75

x = 7.75/0.167

x = 46.4

Therefore, the number is 46.4.

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Arc cd located on circle a has a central angle of 135 the radius is the circle is 24 centimeters what is the length of arc cd

Answers

[tex]\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=24\\ \theta =135 \end{cases}\implies s=\cfrac{(135)\pi (24)}{180}\implies s=18\pi ~cm[/tex]

Answer:

B) 18π cm

Step-by-step explanation:

Step 1

Given:

   Central angle θ=135°

    Radius of circle r=24 cm

    Length of arc CD =θ360°(2πr)

Step 2

  l=135°360°×2π×24

    l=38×2×π×24

    l=3×2π×3

      l=18π cm

Therefore

  Length of arc CD =18π cm

Thus, option B is correct.

Find the derivative of the image below

Answers

[tex]~~~\dfrac{d}{dx} f(x) \\ \\=\dfrac{d}{dx} \left(x^3 \cdot \log_6 x \right)\\\\=x^3\dfrac{d}{dx} \left(\log_6 x\right) + \log_6 (x)\dfrac d{dx} x^3 \\\\=x^3 \cdot \dfrac 1{x \ln 6} + \log _6 (x) \cdot 3x^2\\\\=\dfrac{x^2}{\ln 6} + \log_6(x) \cdot 3x^2\\\\\\=x^2 \left(\dfrac 1{\ln 6} + 3\log_6 x \right)[/tex]

[tex]\text{The derivative is now in a form of}~ x^A (B + C \log_D (x))[/tex]

Necesito saber cual funcion es

Answers

Answer:

A function is defined as a relation between a set of inputs having one output each..

Step-by-step explanation:

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

¿Qué es la función explicar?

Una función se define como una relación entre un conjunto de entradas que tienen una salida cada una. En palabras simples, una función es una relación entre entradas donde cada entrada está relacionada exactamente con una salida. Cada función tiene un dominio y un codominio o rango. Una función generalmente se denota por f(x) donde x es la entrada.

Determine whether the statement makes sense or does not make sense, and explain your reasoning.
A candidate received the majority of first-place votes and lost the election.
Choose the correct answer below.

A. The statement does not make sense because the candidate with the majority of the first place votes using the plurality method is the winner.
B. The statement does not make sense because the candidate with the majority of the first place votes in an election is always the winner.
C. The statement makes sense because the Borda count method using preference ballots can result in a situation where this can happen.
D. The statement makes sense because the plurality method can result in a situation where this can happen.

Answers

A candidate received the majority of first-place votes but loses hows that A. The statement does not make sense.

What is plurality voting?

It should be noted that plurality voting simply means when each voter is allowed to vote for only one candidate.

In this case, a candidate received the majority of first-place votes will win the election. Here, the majority of the first place votes using the plurality method is the winner.

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what scale factor is used to draw the longer trapezoid?

Answers

What scaled factor is used to draw the longer trapezoid look it up online

What is the mean absolute deviation of the following set
of data?
9
2
9
9
5
4.
9
1
4
10

Answers

Answer:

  3

Step-by-step explanation:

You want the mean absolute deviation of the set of numbers ...

  {9, 2, 9, 9, 5, 4, 9, 1, 4, 10}

MAD

The mean of this 10-number set of data is 6.2. The mean absolute deviation (MAD) is found by subtracting that from the members of the dataset, taking the absolute values of the result, and finding the means of those.

The attachment shows those calculations.

The MAD of this set of data is 3.

__

Additional comment

The period (decimal point) in the column of numbers suggests this is a 6-number dataset, and the last 4 numbers are answer choices. If that is the case, none of those answer choices is correct. That is why we assumed that this problem has a 10-number dataset.

When you're calculating this by hand, you only need to consider the values for which the deviation is negative. The MAD is twice their total absolute value, divided by the number of numbers in the dataset. Here, that is 2(4.2+2.2+5.2+2.2+1.2)/10 = 3. (Numbers 2, 5, 4, 1, 4 are less than the mean of 6.2.)

<95141404393>

Determine the value(s) for which the rational expression 10w−52w2+11w+5 is undefined. If there's more than one value, list them separated by a comma, e.g. w=2,3.

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The value(s) for which the rational expression (10w−5)/(2w²+11w+5) is undefined is -1/2 and -5.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value for which the function will not be defined is the value of w which will make the denominator of the rational function zero. This values can be found by factorizing the denominator of the function. Therefore,

2w² + 11w + 5 = 0

2w² + 10w + 1w + 5 = 0

2w(w+5) + 1(w+5) = 0

(2w+1)(w+5) = 0

w = -1/2 , -5

Hence, the value(s) for which the rational expression (10w−5)/(2w²+11w+5) is undefined is -1/2 and -5.

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solve the equation

answer: x=

Answers

Answer:

Hope the picture will help you

Amy joined a gym with a $77 enrollment fee. The equation below can be used to find the total Amy has paid, y, if she has belonged to the gym for x months.

y = 44x + 77

What does the 44 represent in the equation?
A.
the amount for x months of membership
B.
the cost to join
C.
the number of months of membership
D.
the monthly dues

answer
the monthly dues

Answers

Answer:

44 represents months

x*y

$77

x

x*y

Measurements of angles

Answers

Answer:

x = 60

Step-by-step explanation:

Since this triangle is an isosceles triangle, the angle next to the 60 degrees is 60 as well. The interior angles of a triangle adds up to 180 degrees, so:

60 + 60 + x = 180
120 + x = 180
x = 60
Hope this helps :)

7. SHORT ANSWER Determine whether the
relationship between the two quantities
in the table is proportional. Explain
your reasoning.

Answers

Answer:

it is proportional because there is a roc of +5 bc as one hour increases 5 dollars is added to the initial cost

What inverse operation will be used to undo the volume of Julie's jewelry box to find its edge lengths?

Volume formula for a cube is: volume = edge ^ 3

Answers

Answer:

Cubed root

Step-by-step explanation:

Do the inverse of cubed, cubed root

I need help with this question really badly please help.

Answers

D: of ;;;9d 38383 valise irl for 1

what is 1/4 - 41 1/4 + 3

Answers

Answer:

-38

Step-by-step explanation:

i hope this helps you

good luck on your quiz or lesson!

Answer:

-38

Step-by-step explanation:

[tex]\frac{1}{4} = 0.25[/tex]

[tex]\frac{1}{4} -41\frac{1}{4} +3[/tex]

[tex]0.25-41.25+3[/tex]

[tex]-41+3[/tex]

[tex]-38[/tex]

Find the sum of the arithmetic sequence 1, 4, 7, 10, ...,94; n=32

Answers

Answer:

Step-by-step explanation:

hello :

the sum is : Sn = n/2(U1 + Un )     and U n = U1+(n-1)r    

given :    U1 = 1      r=4-1=7-4=...= 3      n= 32

so :  U 32 = 1+(32-1)3= 94

S32 = 32/2 (1+94) = 1520

Camila has a coin collection. She keeps 13 of the coins in her box, which is 10% of the
collection. How many total coins are in her collection?

Answers

Answer:

130

Step-by-step explanation:

We need to keep adding 13 together until we have done this 10 times :)

10%: 13

20%: 26

30%: 39

40%: 52

50%: 65

60%: 78

70%: 91

80%: 104

90%: 117

100%: 130

Have an amazing day!!

Please rate and mark brainliest!!

When asked to factor the trinomial x^2 - 18x + 81, a student gives the answer (x - 9)(x + 9). Which of the following statements is true?

A. The answer is incorrect; the trinomial cannot be factored.

B. The answer is incorrect; the plus sign should be a minus sign.

C. The answer is incorrect; the minus sign should be a plus sign.

D. The answer is correct.

Answers

Answer:

B.The answer is incorrect; the plus sign should be a minus sign.

Step-by-step explanation:

[tex]x^2-18x+81\\\\=x^2-2\cdot 9x +9^2\\\\=(x-9)^2\\\\=(x-9)(x-9)[/tex]

what is the length of the arc with a measure of 200 degrees in a circle with a radius of 31 inches?

Answers

Answer:

403π/9 or 140.67

Step-by-step explanation:

First, you have to find the circumference of the circle

Circle circumference equation:

Circumference = dπ (Circumference = diameter x pi)

You have a radius of 31 which is equal to 62 diameter (diameter is double the radius)

So:

C = 62π

Now, you need to know that a full circle is 360 degrees and we want only 200 degrees of that,

So in other words, you want 200/360 of the circle's circumference.

You can find the measure of the 200 degree arc by doing

62π x [tex]\frac{200}{360}[/tex] = [tex]\frac{403pi}{9}[/tex] or 140.67

the sum of 3x and 1 is greater than-5 and less than or equal to 10

Answers

Answer:

x is greater than -2 and less than or equal to 3

Step-by-step explanation:

so the 3x + 1 is greater than -5

so 3x is greater than -6

we divide both sides by 3

then we find out that x is greater than -2

we also know that 3x + 1 is less than or equal to 10

so 3x is less than or equal to 9

we divide both sides by 3

then we find out that x is less or equal to 3

so we can say that x is greater than -2 and less than or equal to 3

Diego's recipe calls for three times as much oregano than Tracy's recipe. If Tracy only uses 0.75 tablespoons of oregano in her recipe, how many does Diego use?

Answers

Answer:

2.25 tablespoons of oregano

Step-by-step explanation:

as Diego use 3x more than Tracy, and you know that Tracy use 0.75 tablespoon, so 0.75 x 3 and you will get 2.25

Trigonometric equations
4sin^2(theta) + 4 = 5

Answers

Answer:

Θ = (π/6) + πn

Θ = (5π/6) + πn

Step-by-step explanation:

4sin²Θ + 4 = 5

            -4    -4

4sin²Θ = 1

÷4         ÷4

sin²Θ = (1/4)

√sin²Θ = √(1/4)

sinΘ = (1/2), (-1/2)

-------------------------

Θ = arcsin (1/2)

Θ = (π/6)

to find the quadrant subtract π

Θ = π - (π/6)

Θ = (5π/6)

Find the period

2π / |b|

b = 1

2π/1 = 2π

The sin Θ function is 2π, so values will repeat 2π in both directions.

Θ = (π/6) + 2πn (n is the variable)

Θ = (5π/6) + 2πn

-------------------------------------------------------------------------------------------------------

sin Θ = (-1/2)

Θ = arcsin (-1/2)

Θ = (-π/6)

To find the second function add π

Θ = 2π + (π/6) + π

Θ = (7π/6)

Find the period

2π/|b|

2π/1

(-π/6) + 2π

2π       6         π

----- ×  ----- -  -----

1           6        6

Θ = (11π/6) will repeat every 2π in both directions

-------------------------------------------------------------------------------------------------------

Θ = (π/6) + 2πn

Θ = (5π/6) + 2πn

Θ = (7π/6) + 2πn

Θ = (11π/6) + 2πn

(π/6) + π = (7π/6)

(5π/6) + π = (11π/6)

Θ = (π/6) + πn

Θ = (5π/6) + πn

----------------------------------------------------------------------------------------------------------

I hope this helps!

$1 = £0.73. Change $346 into £

Answers

Answer:

£252.58

Step-by-step explanation:

$346 × £0.73/$1 = £252.58

Please rate!! I hope this helps!!

Sanjay is standing on level ground 70 meters away from a flag pole. The angle of elevation to the flagpole is 38 degrees. The height of Sanjay's eyes are 167cm from the ground. How tall is the flag pole in meters?

Answers

The height of the pole is  53 m

What is the height of the pole?

The angle of elevation is the angle formed between a horizontal line and a line of sight or an upwardly inclined line from an observer to an object or point. It is used to describe the angle at which an object is viewed from a particular position

Let the height of the pole be x

We know that;

Tan 38 = 1.67 + x/70

Tan 38 * 70 = 1.67 + x

x = (Tan 38 * 70 ) - 1.67

x = 53 m

Thus we can see that the height of the pole is about 53 m

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For a sample of n = 16 scores, what is the value of the population standard deviation (o) necessary to produce each of the following standard error values?
a. Ом = 8 points
b. Ом =4 points
с. Ом = 1 point

Answers

Using the Central Limit Theorem, it is found that the values of the population standard deviation [tex]\sigma[/tex] needed are given by:

a) [tex]\sigma = 32[/tex]

b) [tex]\sigma = 16[/tex]

c) [tex]\sigma = 4[/tex]

What does the Central Limit Theorem state?

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem, we have that n = 16.

Item a:

s = 8, hence:

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

[tex]8 = \frac{\sigma}{\sqrt{16}}[/tex]

[tex]\sigma = 32[/tex]

Item b:

s = 4, hence:

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

[tex]4 = \frac{\sigma}{\sqrt{16}}[/tex]

[tex]\sigma = 16[/tex]

Item c:

s = 1, hence:

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

[tex]1 = \frac{\sigma}{\sqrt{16}}[/tex]

[tex]\sigma = 4[/tex]

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