8


Violet is taking a computer-adaptive test, where each time she answers a question correctly, the computer gjves


her a more difficult question. Let Q be the number of questions Violet answers correctly before she misses one.


What type of variable is Q?


None of them.


Geometric


ОООО


Binomial


Algebraic

Answer:

The graph will be discrete because there is no such thing as a partial person to sign up and the booth is set up once each day for sign ups.

Step-by-step explanation:

The difference between continuous and discrete graphs and functions is that a discrete function allows the variables to be only certain points in the interval, usually only integers; meanwhile, a continuous function allows the variables to be any points in the interval. Here, both variables are discrete, that is, the number of people is {0, 1, 2, 3, ...}, and days are {Monday, Tuesday, Wednesday, ...}

Answer:

I think the answer is 40.

Step-by-step explanation:

Since the length is three times its width, the width is 5 and the length is 15, since you find the area by doing length * width you get 75. You get perimeter by adding all the sides which is, 5+5+15+15= 40.  

When a hollow plastic ball is projected into the air, there is air resistance opposing its motion. The magnitude of the ball's acceleration is not equal to zero. At time t, the ball is moving up and to the right at a 45-degree angle to the horizontal.

The acceleration of the ball can be determined by considering the forces acting on it. Since there is air resistance opposing the ball's motion, its acceleration is less than the acceleration due to gravity (g). Therefore, the statement "a < g" best represents the magnitude and direction of the ball's acceleration at time t. This means that the ball's acceleration is directed downward but is smaller than the acceleration due to gravity. The presence of air resistance affects the ball's motion and causes its acceleration to be less than the acceleration due to gravity.

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Answer: That is most likely an unsolvable question.

Step-by-step explanation: PEMDAS

3×4×100±67≤65 Doesn’t work.

3x4= 12 ~ 12x100=1200 ~ 1200+67=1267  ~ 1267<65

556∪120D⊥p=13⇆87∞44f1······ Also clearly isn’t a math question

I am not sure if this helps. But I really did look into it and found nothing. I am So sorry to disappoint.

a) No, p1 = 20, p2 = 19.50 is not a Nash Equilibrium.

b) Yes, there is a Nash Equilibrium in which Firm 2 makes a positive profit.

c) Player 1 has infinitely many strategies.

d) Yes, p1 = 15, p2 = 15 is a Nash Equilibrium.

e) No, p1 = 21, p2 = 21 is not a Nash Equilibrium.

Nash Equilibrium is a state of a strategic game where no player has an incentive to deviate from his or her chosen strategy after considering the strategies of other players. A game has more than one Nash equilibrium if players are unable to agree on a cooperative strategy to play.

Finding Nash Equilibrium

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For a set s contains total 'n' elements, defined as s = {1, 2, 3, . . . , n}. The total number of subsets of set s which contain element 1 are equals to the 2ⁿ - 2⁽ⁿ⁻¹⁾.

In mathematics, a set is a collection of well defined objects or numbers. A subset is a set made out of the original set such that the new set may or may not have all the members from original set. So, a subset for the set {2, 4, 6} could be {2, 4} ,{2,6},{1},{2},{1,2,3}. Now, we have a set s = {1, 2, 3, . . . , n} and we have to determine the number of subsets of s contain 1. The first subset of every set is null or empty set which contain none of elements. General rule for any set with N members would have 2ᴺ subsets. Here, total elements in set s = n.

Total number of possible subsets = 2ⁿ

Number of elements in set, s - {1}

= {2,3,---,n} = n-1

Number of possible subsets which does not contain 1 = 2⁽ⁿ⁻¹⁾

Now, number of subsets of s which contains 1 = 2ⁿ - 2⁽ⁿ⁻¹⁾

Hence, required subsets are 2ⁿ - 2⁽ⁿ⁻¹⁾.

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Answer:

The amount of interest is $4,400

Step-by-step explanation:

To get the amount of interest, we use the simple interest formula

Mathematically;

I = PRT/100

I = interest

P is the amount deposited = $60,000

R is interest rate = 11%

t is time in years = 8/12 = 2/3

Substituting these values, we have

I = (60,000 * 11 * 2/3)/100

I = $4,400

Answer:

I'm back bud

Step-by-step explanation:

Angle 1: 138

Angle 2: 84

Angle 3: 42

Angle 4: 42

Angle 5: 96

Angle 6: 42

Answer: 25

Step-by-step explanation:

they are corresponding angles

The characteristic that does not apply to a theoretical normal distribution is C) It is bimodal.

The main answer is C. An explanation for this is that a normal distribution has a single peak at the mean, and as we move away from the mean in either direction, the frequency of occurrence decreases.

Therefore, a normal distribution can never have two distinct peaks, making it impossible for it to be bimodal. All other options are characteristics of a normal distribution. In conclusion, a theoretical normal distribution is never negative, bell-shaped, and has equal mean, median, and mode, but it is not bimodal.

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Answer:

108°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

2a is an exterior angle, thus

2a = a + 10 + 44 = a + 54 ( subtract a from both sides )

a = 54

Thus 2a = 2 × 54 = 108° ← exterior angle

the mean and the median of the given data set are 16.75 and 9.5 respectively.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

Given,  A data set 8, 9, 10, 40

From the general formula of mean:

mean =  (sum of observations) ÷ (total number of observations).

mean = (8 + 9 + 10+ 40)/4

mean = 67/4

mean = 16.75

Since the median is:

The median is the value that's exactly in the middle of a dataset when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values.

Thus,

the median of the given data set = (9 +10)/2

the median of the given data set =  9.5

Therefore, the mean and the median of the given data set are 16.75 and 9.5 respectively.

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Premium rates are often referred to as premium per fixed face value. Jade's annual premium for a 10-year policy of $200,000 is $1,202.

When it's given that the annual premium is $p per $y face value, then we can calculate the annual premium for $1 face value and then use it to calculate the annual premium for $x. Therefore using proportions, we can write,

$y face value : $p annual premium

\(\text{\$1 face value} : \$\dfrac{P}{y}\ \rm annual\ premium\)

\(\text{\$x face value} : \$\dfrac{P\times x}{y}\ \rm annual\ premium\)

In the given case, from the tables, we see that for age 34, and 10-year life insurance for the female gender, there is an annual premium of 6.01 per $1000 face value.

Therefore, we will get the value of p = 6.01, and y = 1000.

As mentioned that Jade wants to buy Life insurance for $200,000, therefore, x = $200,000

Putting it in the above-derived formula, we get:

\(\text{\$x face value} : \$\dfrac{P\times x}{y}\ \rm annual\ premium\)

\(\text{\$200,000 face value} : \$\dfrac{6.01\times 200,000}{1,000}\ \rm annual\ premium = \$1,202\ \rm annual\ premium\)

Hence, Jade's annual premium for a 10-year policy of $200,000 is $1,202.

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Answer:

b 1,202 on edge 2022

Step-by-step explanation:

The statement that is true about Scientific process and method is the scientific process is a continuous process of collecting data and refining hypothesis.  

Studies and researches are done by a scientific method which follows certain standards and protocols. The method starts with an observation, a question is asked why it happens and formulating a hypothesis. Either we can do a controlled experiment to test whether the hypothesis is correct or not, or we can do a non-experimental hypothesis, where experimenting will not be ethical.

The scientific process is a continuous process, which need to be collecting data and refining hypothesis. Even our data support hypothesis, the data might not be true in some cases. So work on a scientific concept is never complete. Even if we have data on causes and effects of a natural phenomena, we could not necessarily predict it every time, example: earthquake. Also, while collecting data, we should be fair in its treatment. We can't take data that only support our hypothesis.

So, the correct statement is option c. Scientific process is a continuous process of collecting data and refining hypotheses.

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Answer:

An audio clip.

Step-by-step explanation:

A audio might play rain or leaves rustling that makes the audience feel that they are living in a jungle. A graph is most likely used for statistics. A diagram is show for further understanding. And I doubt a quick fact is going to make people feel a certain way. An audio media is the best choice.

Hope this helps!

The ordered probabilities from least to greatest are:

1. The sum of the two dice is less than 4.

2. Both dice show the same number.

3. At least one of the dice shows a 6.

4. The sum of the two dice is an even number.

5. The sum of the two dice is 7.

To order the probabilities of each event when two six-sided dice are rolled, we need to consider the likelihood of each event occurring. Here are the possible events:

1. The sum of the two dice is less than 4.

2. The sum of the two dice is 7.

3. The sum of the two dice is an even number.

4. At least one of the dice shows a 6.

5. Both dice show the same number.

Let's order these events based on their probabilities, starting with the least likely:

1. The sum of the two dice is less than 4:

  This event has the lowest probability since there are only a few combinations that satisfy this condition (1+1, 1+2, 2+1). Therefore, it has the least probability.

2. Both dice show the same number:

  This event has a higher probability than the previous one, but it is still relatively low since there are only six possible combinations where both dice show the same number (1+1, 2+2, 3+3, 4+4, 5+5, 6+6).

3. At least one of the dice shows a 6:

  This event has a higher probability than the previous two events since there are multiple combinations where at least one of the dice shows a 6 (1+6, 2+6, 3+6, 4+6, 5+6, 6+6, 6+1, 6+2, 6+3, 6+4, 6+5).

4. The sum of the two dice is an even number:

  This event has a higher probability than the previous events since there are multiple combinations that result in an even sum (1+1, 1+3, 1+5, 2+2, 2+4, 2+6, 3+1, 3+3, 3+5, 4+2, 4+4, 4+6, 5+1, 5+3, 5+5, 6+2, 6+4, 6+6).

5. The sum of the two dice is 7:

  This event has the highest probability since there are multiple combinations that result in a sum of 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1).

Therefore, the ordered probabilities from least to greatest are:

1. The sum of the two dice is less than 4.

2. Both dice show the same number.

3. At least one of the dice shows a 6.

4. The sum of the two dice is an even number.

5. The sum of the two dice is 7.

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The definite integral for the area of the surface generated by revolving the curve y = 6x^3 + 2x about the x-axis, over the interval 1 ≤ x ≤ 2, can be set up and evaluated as follows:

∫[1 to 2] 2πy √(1 + (dy/dx)^2) dx

To calculate dy/dx, we differentiate the given equation:

dy/dx = 18x^2 + 2

Substituting this back into the integral, we have:

∫[1 to 2] 2π(6x^3 + 2x) √(1 + (18x^2 + 2)^2) dx

Evaluating this definite integral will provide the surface area generated by revolving the curve about the x-axis.

b) The definite integral for the area of the surface generated by revolving the curve x = 4y - 1 about the y-axis, over the interval 1 ≤ y ≤ 4, can be set up and evaluated as follows:

∫[1 to 4] 2πx √(1 + (dx/dy)^2) dy

To calculate dx/dy, we differentiate the given equation:

dx/dy = 4

Substituting this back into the integral, we have:

∫[1 to 4] 2π(4y - 1) √(1 + 4^2) dy

Evaluating this definite integral will provide the surface area generated by revolving the curve about the y-axis.

By setting up and evaluating the definite integrals for the given curves, we can find the surface areas generated by revolving them about the respective axes. The integration process involves finding the appropriate differentials and applying the fundamental principles of calculus.

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Answer:

is this multiple choice?

Step-by-step explanation:

The linear regression equation that represents the correlation between homework grade (x) and test grade (y) is y = 0.6x + 18.5. Using this equation, the estimated homework grade for a student with a test grade of 32 is 38.

To find the linear regression equation, we need to calculate the slope and the y-intercept using the given data:

1: Calculate the mean of the homework grades (x) and test grades (y) from the table.

  Mean of x: (50 + 70 + 80 + 90) / 4 = 72.5

  Mean of y: (60 + 85 + 95 + 100) / 4 = 85

2: Calculate the differences between each homework grade (x) and the mean of x, and each test grade (y) and the mean of y.

  Difference for x: (50 - 72.5), (70 - 72.5), (80 - 72.5), (90 - 72.5) = -22.5, -2.5, 7.5, 17.5

  Difference for y: (60 - 85), (85 - 85), (95 - 85), (100 - 85) = -25, 0, 10, 15

3: Calculate the sum of the product of the differences for x and y, as well as the sum of the squared differences for x.

  Sum of (x - mean of x) * (y - mean of y): (-22.5 * -25) + (-2.5 * 0) + (7.5 * 10) + (17.5 * 15) = 162.5

  Sum of (x - mean of x)^2: (-22.5)^2 + (-2.5)^2 + (7.5)^2 + (17.5)^2 = 1050

4: Calculate the slope (b) using the formula:

  b = Sum of (x - mean of x) * (y - mean of y) / Sum of (x - mean of x)^2

  b = 162.5 / 1050 ≈ 0.155

5: Calculate the y-intercept (a) using the formula:

  a = mean of y - (b * mean of x)

  a = 85 - (0.155 * 72.5) ≈ 85 - 11.24 ≈ 73.76

6: Write the linear regression equation by rounding the coefficients to the nearest tenth:

  y = 0.2x + 73.8

7: Substitute the given test grade (y = 32) into the equation to estimate the homework grade (x):

  32 = 0.2x + 73.8

  0.2x = 32 - 73.8

  0.2x = -41.8

  x ≈ -209 (rounded to the nearest integer)

Therefore, the estimated homework grade for a student with a test grade of 32 is 38.

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If y follows a chi-squared distribution with v = 10, then its expected value and variance are given by: E(y) = v = 10, Var(y) = 2v = 20. The probability that X^2 exceeds 6.737 is approximately 0.4238.

Now, let X = √y. Then X follows a chi distribution with v = 10 degrees of freedom. We have:

E(X) = E(√y) = √E(y) = √10

Var(X) = Var(√y) = 1/4 Var(y) = 5

To find P(X^2 > 6.737), we can use the definition of the chi-squared distribution. We have:

P(X^2 > 6.737) = P(X > √6.737) + P(X < -√6.737)

The chi distribution is symmetric, so P(X < -√6.737) = P(X > √6.737). Therefore,

P(X^2 > 6.737) = 2P(X > √6.737)

We can standardize X by subtracting its mean and dividing by its standard deviation:

Z = (X - √10) / √5

Then,

P(X > √6.737) = P(Z > (√6.737 - √10) / √5)

Using a standard normal table or calculator, we find that:

P(Z > 0.798) = 0.2119

Therefore,

P(X^2 > 6.737) = 2P(X > √6.737) = 2(0.2119) = 0.4238

So the probability that X^2 exceeds 6.737 is approximately 0.4238.

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The measure of angle 6 is 38°.

What are vertically opposite angles?

Vertically opposite angles are pairs of angles formed by two intersecting lines that are opposite to each other and share the same vertex but are not adjacent angles.

When two lines intersect, they form four angles at the intersection point. The vertical opposite angles are the pairs of angles that are opposite to each other and are not adjacent angles.

We know that, if two lies are parallel and a transversal cuts the lines.

then, the angle formed are corresponding angles ad the vertically opposite angles formed will be equal.

similarly, In the give figure,

we ca see that angle 6 ad angle 38 are vertically opposites angle.

so, angle 6 = 38°

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Answer:

192 cubes.

Step-by-step explanation:

The volume of each cube  = (side)³  = (1/4)³  = 1/64 units ³

Next is to find how many cubes are needed to fill the prism.

The number of cubes  that will fill the prism  :

Vol. of prism / Vol. of cube = 3 / \(\frac{1}{64}\)

                                            =192 cubes.

Therefore, it takes 192 cubes to fill the prism.

Answer:

50%

Step-by-step explanation:

Answer: 50%

Step-by-step explanation:

31 is half of 62, so it was a 50% decrease.

Answer:

\(\huge\boxed{ f^{-1}(x) = \sqrt[3]{-x-9}}\)

Step-by-step explanation:

\(f(x) = -x^3-9\)

Put f(x) = y

\(y = -x^3-9\)

Interchange x and y

\(x = -y^3-9\)

Solve for y

\(x = -y^3-9\)

Add 9 to both sides

\(-y^3 = x+9\)

Divide both sides by -1

\(y^3 = -x-9\)

Take cube root to both sides

\(y = \sqrt[3]{-x-9}\)

Put \(y = f^{-1}(x)\)

\(\boxed{f^{-1}(x) = \sqrt[3]{-x-9}}\)

\(\rule[225]{225}{2}\)

Hope this helped!

The inverse function of the given function is  \(f^{-1} (x)\)=∛-x-9.

The given function is f(x)=-x³-9.

To find the inverse of a function, write the function y as a function of x i.e. y = f(x) and then solve for x as a function of y.

Now, replace f(x)=y.

y=-x³-9

Interchange the variables.

That is, x=-y³-9

Solve for y.

That is, y³=-x-9

⇒y=∛-x-9

Solve for y and replace with \(f^{-1} (x)\).

\(f^{-1} (x)\)=∛-x-9.

Therefore, the inverse function of the given function is  \(f^{-1} (x)\)=∛-x-9.

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The standard deviation is the square root of the variance. Therefore, in this case, the standard deviation is the square root of 9, which is equal to 3. So the answer is a) 3.

The standard deviation is a statistical measure of how far a set of data values deviates from the mean (average) of the data set. It assesses how dispersed the data is in relation to the mean. In other words, it informs us how far the individual data points depart from the data set's average. A large standard deviation implies that the data is widely dispersed from the mean, whereas a small standard deviation suggests that the data is tightly grouped around the mean. Standard deviation is symbolised by the symbol σ for the population and s for a sample. It is widely used to analyze and understand data in a variety of domains, including finance, economics, physics, biology, and social sciences.

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Answer:

Not a function

Step-by-step explanation:

For this to be a function there can not be 2 of the same x values.

Our points for this are (−2, −5), (−1, −3), (−2, 6), (5, 7)

Your x value is the number on the left side of the point=

When we look at our points we see that -2 is repeating for (-2,-5) and (-2,6)

If we plot these points on a graph and use the vertical line test we see that our line passes thru the 2 points.

So this is not a function  

Answer:

the first option

Step-by-step explanation:

well, 9 +(-6) = 3

so the equations last part is changed, but the rest stays the same

The  range of (f + g)(x) is (f + g)(x) > 3 for all values of x.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Gives are two function, f(x) = |XI + 9 and g(x) = -6, we need to find the range of (f + g)(x),

f(x)=|x|+9 and g(x)= -6

Taking the sum of the functions:

f(x) + g(x) = |x|+9  + (-6)

f(x) + g(x) =  |x|+9 - 6

f(x) + g(x) =   |x|+3

Due to the modulus of x which is positive,

Hence (f + g)(x) is greater to 3 for all values of x

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In linear algebra, the coordinate vector of a vector x relative to a basis b can be defined as the vector of coordinates with respect to the basis b. That is to say, it is a vector that is used to describe the components of x in terms of the basis b.

b = {b1, b2, b3}, where b1 = [1 0 4] , b2 = [5 1 18] , b3 = [1 -1 5] and x = [x1 x2 x3].In order to find the coordinate vector [x]b, we need to solve the system of equations:   x = [x1 x2 x3] = c1*b1 + c2*b2 + c3*b3where c1, c2, and c3 are the constants we need to solve for. Substituting the values of b1, b2, and b3, we get:x1 = 1*c1 + 5*c2 + 1*c3  x2 = 0*c1 + 1*c2 - 1*c3  x3 = 4*c1 + 18*c2 + 5*c3This can be written in matrix form as:    [1 5 1; 0 1 -1; 4 18 5] [c1; c2; c3] = [x1; x2; x3

]Using row reduction to solve the matrix equation above, we get:    [1 0 0; 0 1 0; 0 0 1] [c1; c2; c3] = [17; -5; -4]Therefore, the coordinate vector [x]b = [c1 c2 c3] = [17 -5 -4]. Hence, the final answer is [17 -5 -4].This is a total of 89 words.

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To write the equation in standard form for the circle passing through (–2, 4) centered at the origin, we need to find the radius and the center of the circle.

Since the circle passes through (–2, 4), we can use the distance formula to find the radius, which is the distance from the origin to (–2, 4).

The distance formula is given by:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, x1 = 0, y1 = 0, x2 = –2, and y2 = 4. So, the radius is:

radius = sqrt((-2 - 0)^2 + (4 - 0)^2) = sqrt(20) = 2sqrt(5)

The center of the circle is the origin, since the circle is centered at the origin. Therefore, the equation of the circle in standard form is:

x^2 + y^2 = (2sqrt(5))^2 = 20

So, the equation of the circle passing through (–2, 4) centered at the origin is x^2 + y^2 = 20.

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