In which of the relations represented by the tables below is the output a function of the input?

Select all correct answers.

Select all that apply:

The required probability that the total number of spots showing is less than 7 is 9.26%

The probability of an event is found by considering all possibilities that follow the given condition. The probability value cannot exceed the interval [0,1].

Three six-sided dice are rolled at the same time.

It is asked to calculate the probability that the total number of spots showing is less than 7.

If the die is rolled, possible outcomes are as given below.

S: {1, 2, 3, 4, 5, 6}

Number of elements in sample space, n(S) = 6.

Probability of any specific outcome from S = 1/6

If the three dice are rolled together, the total number of elements in the sample space will be \((6^3)\)

Then, the probability of getting any of any specific outcome from this sample will be given by: \(\frac{1}{6^3} =\frac{1}{216}\)

Find the total possibilities for which the total of outcomes of all three dice is less than 7. It is possible when we get the following outcomes.

The minimum total that we get is 3 with outcomes (1,1,1) on three dice.

For a total of 3:

Possible outcomes: [1, 1, 1]

The number of possibilities \(A_1=1\)

For total 4:

Possible outcomes: [1,1,2], [1,2,1], [2, 1, 1]

Number of possibilities \(A_2=3\)

For a total of 5:

Possible outcomes:  [1,1,3], [1,3,1], [3, 1, 1],  [1,2,2], [2,2,1], [2, 1, 2]

The number of possibilities \(A_3=6\)

For a total of 6:

Possible outcomes :  [1,1,4], [1,4,1], [4, 1, 1],[1, 2, 3] ,[1,3,2],[2, 3, 1], [3,2,1], [3, 1, 2],[2,1,3], [2, ,2 ,2]

The number of possibilities : \(A_4=10\)

The number of possibilities for which the total number of spots showing is less than 7 is given by,

\(A_1+A_2+A_3+A_4\)

=> 1+ 3+ 6+ 10

=> 20

The probability that the total number of spots showing are less than 7 is calculated below.

P = 20/216

P = 0.0926

P = 9.26%

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The given question is incomplete, complete question is:

Explain how to solve this problem:

You have three six-sided dice. When all three dice are rolled at the same time, calculate the probability of the following outcomes:

a. The total number of spots showing is less than 7

The polynomial models the height of this ball will be D = (x² - 400) / 19.6 feet.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

At the same time, Min’s little brother throws a baseball from a height of 4 feet with an initial vertical velocity of 20 feet per second.

Let the final speed be 'x'. Then the equation is given as,

x² - (20)² = 2(9.8) · D

19.6D = x² - 400

D = (x² - 400) / 19.6

The polynomial models the height of this ball will be D = (x² - 400) / 19.6 feet.

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Answer: \(g(x)=(x-5)^2\)

Step-by-step explanation:

The graph of g is the graph of f translated 2 units to the right, so its equation is \(g(x)=(x-5)^2\)

The height of the pyramid is 16 feet.

What is Pythagoras Theorem?

Pythagoras' theorem is a fundamental principle in geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

We can use the Pythagorean theorem to find the height of the pyramid.

The slant height of the pyramid is the hypotenuse of a right triangle whose legs are the height of the pyramid and half the length of the base of the pyramid. Since the base is a square, half the length of the base is 12 feet.

Using the Pythagorean theorem:

height² + 12² = 20²

height² = 20² - 12²

height² = 256

height = 16 feet

Therefore, the height of the pyramid is 16 feet.

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Answer:

A = 1660 \(ft^{2}\)

Step-by-step explanation:

Area of the sail or a triangle is base times height

A = \(\frac{1}{2}\)(b x h)

Base is 40 ft (horizontal length)

Height is 83 ft (vertical height)

A = \(\frac{1}{2}\)(b x h)

A = \(\frac{1}{2}\)(40 x 83) =  \(\frac{1}{2}\)(3320) = 1660 \(ft^{2}\)

There are 12 months.

3725/12 = 310.

310 per month was lost.

Heart/brainliest would help me reach Genius!

Answer:

Step-by-step explanation:

we know that there are 12 months in a year

Jared lost 3725 in 12 months

we want to find out how much he lost in 1 month

divide by 12

we get

310.416666667

this is $ 310.42 rounded up

It is about 1.657 times more probable to win a 6/48 lottery than a 6/52 lottery.

To find out how much more probable it is to win a 6/48 lottery than a 6/52 lottery, we need to compare their respective probabilities of winning.

The probability of winning a 6/48 lottery is given by the formula:

P(6/48) = C(6, 48) = 1/12271512

where C(6, 48) is the number of ways to choose 6 numbers out of 48.

Similarly, the probability of winning a 6/52 lottery is given by the formula:

P(6/52) = C(6, 52) = 1/20358520

where C(6, 52) is the number of ways to choose 6 numbers out of 52.

To find out how much more probable it is to win the 6/48 lottery than the 6/52 lottery, we can calculate their relative probabilities:

P(6/48) / P(6/52) = (1/12271512) / (1/20358520) ≈ 1.657

Therefore, it is about 1.657 times more probable to win a 6/48 lottery than a 6/52 lottery.

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To prove that I₁ ...In = I₁ · ... · In, we need to show that both sets contain the same elements.

First, we will show that I₁ ...In ⊆ I₁ · ... · In. Let x ∈ I₁ ...In. This means that x can be written as a product of elements, where each element is in one of the ideals I₁,...,In. Since I₁,...,In are R-ideals, this product is also in each of the ideals I₁,...,In. Therefore, x ∈ I₁ · ... · In.

Next, we will show that I₁ · ... · In⊆ I₁ ...In. Let x ∈ I₁ · ... · In. Then x can be written as a product of elements, where each element is in one of the ideals I₁,...,In. By assumption, each ideal I_i has a complement in the form of another ideal J_i such that I_i + J_i = R. Since the product of elements in I_i can be multiplied with elements in J_j without restriction, we can replace each element in the product with an element in its complement. Specifically, let x_i ∈ I_i and y_i ∈ J_i such that x = x₁y₁...x_ny_n. Then each x_i ∈ I_i and y_i ∈ J_i, and since I_i + J_i = R for all i, we can write 1 as a sum of products of elements in the complements J_i. Specifically, 1 = ∑j_1∈J₁...∑j_n∈J_n p(j₁, ... , j_n) where p(j₁, ... , j_n) is a product of elements of the form y_i or y_i y_j where j ≠ i. Multiplying x by this expression, we get:

x = x(∑j_1∈J₁...∑j_n∈J_n p(j₁, ... , j_n)) = ∑j_1∈J₁...∑j_n∈J_n (x₁j₁...x_nj_n)y₁...y_n

Each term in this sum is in I₁...In since each term contains an element from I_i and an element from J_i for each i. Therefore, x ∈ I₁...In.

Combining the two inclusions, we have shown that I₁...In = I₁ · ... · In.

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we have to add 7775000 to make 7800000 from 25000 which is calculated by using Substraction method.

Subtraction in mathematics is the process of subtracting one integer from another. In other terms, the result of subtracting two from five is three. After addition, subtraction is usually the second process you learn in math class.Subtraction is the action or procedure of determining the difference between two quantities or figures. The phrase "taking away one number from another" is also used to describe the process of subtracting one number from another.

Distance to be covered altogether= 7800000 m
THE distance has covered= 25000 m.

We can calculate the thousands needs to be added in 25000 to make it 7800000 by using Substraction method:-

7800000-25000= 7775000m

hence, to make 7800000 from 25000 we have to add 7775000.

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Answer:

c.) a text poll provided during a nightly news broadcast

Step-by-step explanation:

Correct on Edge for Statistics class

The option C. a text poll provided during a nightly news broadcast is a method which would provide a voluntary response sample.

Sampling methods are the methods used to select a random sample from a big population.

Common methods of selecting samples are voluntary response sample, convenience sample, simple random sample, stratified random sample, cluster random sample and systematic random sample.

In voluntary response sample, sample is selected by putting a request for the population members to join the sample. It is the people who are the members of the population decide to join the sample or not.

In the option A, a survey of adults leaving a movie theater, people does not have an option to join or not. All the adults are joining for the sample which is not a voluntary response sample.

In the option B, all students are being surveyed, which is also not a voluntary response sample.

In the option C, people are deciding whether to poll or not which is a voluntary response sample.

In the option D, survey includes all the 10th people leaving the shopping mall, which is also not voluntary response sample.

Hence the method which would provide voluntary response sample is a text poll provided during a nightly news broadcast.

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Answer:

k < -1 or k > 11

Step-by-step explanation:

Given quadratic equation:

\(3x^2-x+ k = kx-1\)

First, rearrange the given quadratic equation in standard form ax² + bx + c = 0:

\(\begin{aligned}3x^2-x+ k &= kx-1\\3x^2-x+ k-kx+1&=0-kx+1\\3x^2-x-kx+ k+1&=0\\3x^2-(1+k)x+ (k+1)&=0\end{aligned}\)

\(3x^2-(1+k)x+ (k+1)=0\)

Comparing this with the standard form, the coefficients a, b and c are:

\(\boxed{\begin{minipage}{7 cm}\underline{Discriminant}\\\\$\boxed{b^2-4ac}$ \quad when $ax^2+bx+c=0$\\\\when $b^2-4ac > 0 \implies$ two real roots.\\when $b^2-4ac=0 \implies$ one real root.\\when $b^2-4ac < 0 \implies$ no real roots.\\\end{minipage}}\)

If the quadratic equation has two distinct roots, its discriminant is positive.

\(b^2-4ac > 0\)

Substitute the values of a, b and c into the discriminant:

\((-1 - k)^2-4(3)(k+1) > 0\)

Simplify:

\((-1 - k)(-1-k)-12(k+1) > 0\)

\(1+2k+k^2-12k-12 > 0\)

\(k^2+2k-12k+1-12 > 0\)

\(k^2-10k-11 > 0\)

Factor the left side of the inequality:

\(k^2+k-11k-11 > 0\)

\(k(k+1)-11(k+1) > 0\)

\((k-11)(k-1) > 0\)

If we graph the quadratic k² - 10k - 11, it is a parabola that opens upwards (since its leading coefficient is positive), and crosses the x-axis at k = -1 and k = 11. Therefore, the curve will be positive (above the x-axis) either side of the x-intercepts, so when k < -1 or k > 11.

Therefore, the range of values of k for which the given quadratic equation has two distinct roots is:

\(\boxed{k < -1 \; \textsf{or} \;k > 11}\)

Answer:

y = 3x - 12

Step-by-step explanation:

Hope This Helps!

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There are 0.0015625 square miles in 1 acre, in unit of measurement.

A quantity's comparison to other quantities of the same kind is based on a predetermined, acknowledged by law, and frequently used magnitude of that quantity. A multiple of the measurement unit can be used to express any additional quantity of that type.

An example of a physical quantity is length. The measurement "metre," which begins with the letter "M," stands in for a particular, predetermined length. A length that is 10 times the precise, predetermined length known as "metre" is what is meant when the term "10 metres" is used (or 10 m).

Human endeavour has relied on the definition, acceptance, and practical application of units of measurement from antiquity to the present.

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Answer:

why don't you copy and paste it

The variable d in the given equation represents the number of minutes that Lilianna spends walking to the park.

Calories that Lilianna uses by sitting = 3/4

Calories that Lilianna uses by walking = calories used sitting + 1 : 1 + 3/4

Calories that Lilianna uses when she walks to the park = calories used per minute when walking x number of minutes spent walking.

Calories that Lilianna uses when she walks to the park = d(1 + 3/4)

12 1/4 = d(1 + 3/4)

d - 12 1/4 ÷ 1 3/4

d = 49 / 4 x 4/7

d = 7 minutes

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The four ways to care for our nervous system are exercise, meditation, proper sleep and healthy food.

There are many ways to care and protect our nervous system. But some of the basics and the most important ways to care for our nervous system are to follow a basic routine which includes regular exercise, practicing meditation daily, having proper sleep for at least seven hours a day and having healthy food mostly.

Now, doing exercise means that we are constantly engaged in some kind of physical activity and healthy food also means to have a balanced lifestyle.

Hence, the four ways to care for our nervous system are exercise, meditation, proper sleep and healthy food.

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Answer:

A=3, B=4, C=-5

Step-by-step explanation:

So A represents the amplitude, which is the distance between the midline (C), the middle of the graph, and the maximum (or minimum). B is the distance of the period of the graph. In this case, we see that the midline is C=-5 because that is the halfway point of the sine function. We also see that the period distance is B=5-1=4, so our period would be 2π/4 or π/2. Our amplitude would be A=3 because |a|=|-5-(-2)|=|-5+2|=|-3|=3. Observe the graph to see this visually.

Answer:

less than 1 and 1/2

Step-by-step explanation:

1/3 + 1/5 + 1/2 = 31/30 which is also equal to 1 1/30

Answer:so wut the answer?

Step-by-step explanation:im dum i dont know

Answer:

1000

Step-by-step explanation:

round up if 5 or bigger

round down if less than 5

The sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.

To find a sinusoidal function with the given attributes, we can use the general form of a sinusoidal function:

f(x) = A * sin(Bx + C) + D

where A represents the amplitude, B represents the frequency (related to the period), C represents the phase shift, and D represents the vertical shift.

Amplitude: The given amplitude is 10. So, A = 10.

Period: The given period is 5. The formula for period is P = 2π/B, where P is the period and B is the coefficient of x in the argument of sin. By rearranging the equation, we have B = 2π/P = 2π/5.

Midline: The given midline is y = 31, which represents the vertical shift. So, D = 31.

f(3) = 41: We are given that the function evaluated at x = 3 is 41. Substituting these values into the general form, we have:

41 = 10 * sin(2π/5 * 3 + C) + 31

10 * sin(2π/5 * 3 + C) = 41 - 31

10 * sin(2π/5 * 3 + C) = 10

sin(2π/5 * 3 + C) = 1

To solve for C, we need to find the angle whose sine value is 1. This angle is π/2. So, 2π/5 * 3 + C = π/2.

2π/5 * 3 = π/2 - C

6π/5 = π/2 - C

C = π/2 - 6π/5

Now we have all the values to construct the sinusoidal function:

f(x) = 10 * sin(2π/5 * x + (π/2 - 6π/5)) + 31

Simplifying further:

f(x) = 10 * sin(2π/5 * x - 2π/10) + 31

f(x) = 10 * sin(2π/5 * x - π/5) + 31

Therefore, the sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.

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Answer:

Step-by-step explanation: there is no way to define an answer to the question in any reasonable.

Answer:

Because 0 is greater than negative 7

Step-by-step explanation:

A negative number is any number that is less than 0.

Hope this makes you understand it

Answer:

a. 41.5

b, 26.5

Step-by-step explanation:

a.

2x + 6 = 180

2x = 172

x = 86

b.

2x+ 90 +26+11 = 180

2x+127 = 180

2x = 53

x = 26.5

Answer:

a) x = 9    b) x = 10

Step-by-step explanation:

a)

6² + (x - 1)² = (x + 1)²

36 + x² - 2x + 1 = x² + 2x + 1

36 = 4x

x = 9

b)

x² + (x + 14)² = 26²

x² + x² + 28x + 196 = 676

2x² + 28x = 480

2x² + 28x - 480 = 0

x² + 14x - 240 = 0

(x + 24)(x - 10) = 0

x = -24 or 10

Answer:

9

Step-by-step explanation:

-77+5=-72

-72 divided by -8 = 9

\({ \red{ \bold{9d}}} \: + \: { \red{ \bold{3}}} \)

Step-by-step explanation:

\({ \blue{ \tt{(6d + 5)}}} - { \blue{ \tt{(2 - 3d)}}}\)

\({ \blue{ \tt{6d + 5 - 2 + 3d}}}\)

\( = { \blue{ \tt{9d + 3}}}\)

Answer:

30

Step-by-step explanation:

Answer:

It depends how many points you already have

Step-by-step explanation:

how much are the essays worth? i might be able to get your final score if you tell me