suppose you play a game where you roll a set of 2 fair dice. if you roll a 4, 5, or 6, you will lose $6, but if you roll anything else, then you win $3. how much money will you gain or lose per each throwing?

Answers

Answer 1

Answer:

The outcome of rolling a set of 2 fair dice is a number between 2 and 12, and there is a probability of 1/9 for each outcome.

For the outcomes 4,5,6, you will lose $6, and for the other outcomes, you will win $3.

There are 3 outcomes 4,5,6, and 9-3 = 6 outcomes where you win $3.

So your expected gain/loss per roll is:

(3/9) * $3 + (3/9) * (-$6) = -$1

Therefore, on average, you will lose $1 per each throwing.


Related Questions

help me pretty pleaseeeeee

Answers

Answer: -2/5 is the answer.

Step-by-step explanation:

Minimum charge of telephone upto 175 calls is Rs. 200. The charge for each extra call is Re. 1. If a man paid Rs. 726 with 10% TSC and 10% VAT, find the total number of calls made in that month.​

Answers

Given that each additional call will cost Rs. 1,

The total cost of the additional calls is Rs. 1332 calls.

How to find the calculation?

Given that there is a charge for up to 175 calls, Rs 200.

And each subsequent call will cost Rs 1.

Additionally, there are 13% VAT and 10% TSC.

Taxes total 10 + 13 = 23 %.

And the full amount owed is Rs 1988.8.

Finding the monthly total of additional calls is necessary.

Therefore, the amount before tax would be

1998.8 -14% of 1988.8

- 1988.8 - 1988.8 x 14/100

=1988.8 - 457.424

=1531.376.

Additionally, the minimum telephone fee is Rs 200.

After the minimum charge, the amount is 1531.376-200.

Rs 1331.376

Given that each additional call will cost Rs. 1,

The total cost of the additional calls is Rs.

1 = 1331.376/Rs = 1332 calls.

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Is half and halve the same?

Answers

No , half and halve represents different forms which is given by :

Half represent the noun form , adjective form or the adverb form where as halve represents the verb form.

Difference between half and halve is as follow :

Half represents the noun, adjective, or adverb form. In the noun form , meaning of half is given by  “fifty percent of something ” or you can equal amount. In an adjective or adverb form , it represents that divides something, half of a whole part, or completely half . Halve represents the verb and meaning of halve is  “divide into two equal or roughly equal parts.”

Therefore, half and halve are not same they represents different forms which is given by : half is the noun form , adjective form or the adverb form where as halve represents the verb form.

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The melting point of ice is 0 degree celsius. during a chemistry experiment, jill observed ice melting within 2 degrees celsius of this measurement. find the range of temperature that jill observed. define a variable, write an inequality, and solve.

Answers

The typical definition of the melting point is the temperature at which a substance transforms from a solid to a liquid.

What do you mean by melting point?

melting point, temperature at which the solid and liquid forms of a pure substance can exist in equilibrium. As heat is applied to a solid, its temperature will increase until the melting point is reached.

The melting point of a liquid is the temperature at which the liquid transforms from a solid to a liquid under atmospheric pressure. This is the location where the liquid and solid phases are equally present. The substance's melting point varies with pressure as well and is reported at standard pressure.

As the melting point is 0 °C.

So, it melts at 2 C. It can melt from 0 °C – 2 °C to 0 °C + 2 °C.

Range = [-2, 2] in °C.

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The following is a scatter plot of the heights and weights of the students in Mr. Baldwin's PE class.
Given the line of best fit, estimate the height of a student who weighs 146 pounds.
a.
About 67.5 inches
b.
About 65 inches
c.
About 72 inches
d.
About 72.5 inches

Answers

The height of a student who weighs 146 pounds is about 67.5 inches. Option ( a )

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things. types of Graphs in Statistics. The four basic graphs used in statistics include bar, line, histogram and pie charts.

if we see the graph properly in the given image, we can clearly see the line of best fit in which the height of a student who weighs 146 pounds is about 67.5 inches.

Option ( a ) .

About 67.5 inches

Therefore, the height of a student who weighs 146 pounds is about 67.5 inches. Option ( a )

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A line passes through the point (-6, -7) and has a slope of 2. Write an equation in point-slope form for this line.​

Answers

Answer: (y + 7) = 2(x + 6)

Step-by-step explanation:

       A point-slope form equation is given as (y - y1) = m(x - x1) where (x1, y1) is a given coordinate point, m is the slope, and x and y are variables. We will substitute the given information into this base equation.

(y - y1) = m(x - x1)

(y - - 7) = 2(x - - 6)

(y + 7) = 2(x + 6)

if we spin the two spinners at the same time, what is the probability that both spinners will yield odd numbers?]

Answers

There is a 1/2 probability that both spinners will produce an odd number.

What is probability?

The probability is equal to the variety of possible outcomes.

The total number of outcomes that could occur.

For instance, there is only one way to receive a head and there are a total of two possible outcomes, hence the probability of flipping a coin and getting heads is 1 in 2. (a head or tail). P(heads) = 12 is what we write.

So, assume that:

Both the spinners have 1 positive number and 1 odd number.

Probability formula:

P(E) = Favourable events/Total events

Now, calculate as follows:

P(E) = Favourable events/Total events

P(E) = 2/4

P(E) = 1/2

Therefore, there is a 1/2 probability that both spinners will produce an odd number.

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george has 12 bricks that are all the same size. he uses 5 bricks. what fraction represents how many bricks are left?

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Given the facts, the percentage of the left brick is 7/12.

In arithmetic, what is a fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a correct fraction is smaller than the denominator.

What three sorts of fractions are there?

There are three main categories of fractions in mathematics. Proper fractions, incorrect fractions, and mixed fractions are these three types. The expressions with a numerator and a denominator are called fractions. We categorize its kinds based on these two parameters.

Total Bricks = 12

Use Brick = 5

Left Brick = 12-5

                = 7

fraction of left brick = 7/12

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For each given situation, determine if the method of randomization is either appropriate or not appropriate

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Determining if the method of randomization is either appropriate or not for each given situation includes:

A.           Inappropriate

B.           Appropriate

C.          Appropriate.

Randomization is what?

The technique of randomly assigning study participants to various treatment groups is known as randomization.

Randomization can take the form of selecting names at random to place people in groups or flipping a fair coin to place participants in the experimental or control groups.

In contrast to experiments B and C, the randomization strategy used in experiment A is incorrect.

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Maths me please I be strugglinggggg

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The measure of the angles of a triangle are 50°, 60°, 70°. The triangle is acute-angle triangle.

What is an acute angle?

An acute angle is one that is less than 90 degrees in length. This is a smaller angle than the right angle (which is equal to 90 degrees).

Given that the measure of the angles of a triangle are x, x+10, and x+20.

The sum of the interior angles of a triangle is 180°.

According to the question,

x+x+10+x+20 = 180°

3x + 30 = 180°

3x = 150°

Divide both sides by 3:

x = 50°.

Putting x = 50° in x, x+10, and x+20.

x =50° , x+10 = 60°, and x+20 =70°.

All angles of the triangle is 90°. Thus the triangle is an acute angle triangle.

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In 2009 a survey of Internet usage found that 79 percent of adults age 18 years and older in the United States use the Internet. A broadband company believes that the percent is greater now than it was in 2009 and will conduct a survey. The company plans to construct a 98 percent confidence interval to estimate the current percent and wants the margin of error to be no more than 2.5 percentage points. Assuming that at least 79 percent of adults use the Internet, which of the following should be used to find the sample size (n) needed

Answers

The sample size (n) needed can be calculated using

[tex]0.025 =2.33\sqrt{\frac{0.79*0.21}{n} }[/tex].

What is the Confidence Interval and Margin Of Error?The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within.Your results will deviate by how many percentage points from the actual population value, according to your margin of error. It is described as a very small percentage that is allowed for error in calculations.

Given:

We have the following confidence interval of proportions in a sample of n people who were polled, with a success probability of [tex]\pi[/tex] and a confidence level of [tex]1- \alpha[/tex].

π ± [tex]z\sqrt{\frac{\pi (1-\pi )}{n} }[/tex]

Here z is the z score which has a pvalue of

[tex]1 -\alpha /2[/tex]

The margin of error is given as:

[tex]M = z\sqrt{\frac{\pi (1-\pi )}{n} }[/tex]

79 percent of adults age 18 years and older in the United States use the Internet as found by a survey.

So, [tex]\pi =0.79[/tex]

98% confidence level

Now [tex]\pi =0.02[/tex], z is the value of Z that has a pvalue of  [tex]1-\frac{0.02}{2} =0.99[/tex].

So, Z =2.33.

The sample size (n) needed can be estimated using:

We have to find n for which M = 0.025

The required equation is:

[tex]M =z\sqrt{ \frac{\pi (1-\pi )}{n} }[/tex]

[tex]0.025 = 2.33\sqrt{\frac{0.79*0.21}{n} }[/tex]

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Which of the M-values satisfy the following inequality? 5m+1<_ (greater than or equal to) 4

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The solution of the inequality 5m + 1 ≤ 4 is less than or equal to 0.80.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

5m + 1 ≤ 4

Simplify the equation, then we have

5m + 1 ≤ 4

5m ≤ 4

m ≤ 4 / 5

m ≤ 0.8

The solution of the inequality 5m + 1 ≤ 4 is less than or equal to 0.80.

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a movie theatre models the revenue from ticket sales in one day as a function of the ticket price, p. here are two expressions defining the same revenue function. p ( 120p - 4p ) and 120p - 4p 2 according to this model, how high would the ticket price have to be for the theater to make $0 in revenue? explain your reasoning. what equation can you write to find out what ticket price(s) would allow the theater to make $600 in revenue?

Answers

The ticket prices that would allow the theater to make $600 in revenue are $120 and $13.4.

In order for the theater to make $0 in revenue, the ticket price would have to be $4. This can be determined by setting the revenue functions equal to 0 and solving for p.

For p (120p - 4p) = 0

120p - 4p = 0

4p = 120

p = $30

For 120p - 4p2 = 0

120p - 4p2 = 0

4p2 = 120p

p2 = 30p

p = $4

To find the ticket prices that would allow the theater to make $600 in revenue, we can set the revenue functions equal to 600 and solve for p.

For p (120p - 4p) = 600

120p - 4p = 600

4p = 120 + 600

p = $120

For 120p - 4p2 = 600

120p - 4p2 = 600

4p2 = 120 + 600

p2 = 30 + 150

[tex]p = $\sqrt{180} \approx $13.4[/tex]

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A bicycle manufacturer normally sells a particular model at £80. The company decides to increase the prices of all its bikes by 6%. What is the new price of this model?

Answers

Sp =£80

Increase in price 6%

New price 80+ 80x0.06
= 80+ 4.8£
New price = £84.8

Assignt
Describe the coefficients of a cubic polynomial function of that has one rational zero, a, and two irrational zeros, √band -√b, where b is rational.
OA Some are irrational numbers.
O B. They are all complex numbers.
O C. They are all rational numbers.
OD. They are all irrational numbers.

Answers

Answer:

234565432344343

At what point does the curve have maximum curvature? y = 9 ln(x) (x, y) = What happens to the curvature as x rightarrow infinity? k(x) approaches_______________as x rightarrow infinity.

Answers

The point of maximum curvature of the curve y = 9 ln(x) occurs when the second derivative of the curve is equal to zero, which is when x = e. At this point, the curvature of the curve is equal to k(x) = 9/e^2.

What is infinity?

Infinity is a concept used to describe something that is limitless or without end. It is typically used to describe a quantity, such as an infinite number of objects or an infinite amount of time. It is also used to describe the concept of something that is boundless or has no boundaries. Infinity is an abstract concept and is not considered a number or a measurement.

As x rightarrow infinity, the value of k(x) approaches zero, because the second derivative of the curve approaches zero. Therefore, k(x) approaches zero as x rightarrow infinity.

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In triangle GHJ , m angle H=110 , m angle J=40 , and I is the point on overline GJ that makes overline HI bisect GHJ. What is the longest side of triangle HIJ ?

Answers

Answer:

In triangle GHJ, if m angle H = 110 and m angle J = 40, then m angle G = 180 - (110 + 40) = 30. Since angle I is the angle bisector of angle GHJ, the ratio of the length of side HI to the length of side HJ is equal to the ratio of the length of side GI to the length of side GJ.

Since the longest side of a triangle is opposite to the largest angle, the longest side of triangle HIJ is GJ.

The best test of whether potential entry is a strong or weak competitive force is whether - the number of entry barriers. - a majority of the existing industry members have earned a profit for 3 consecutive years.- the industry's growth and profit prospects are strongly attractive to potential entry candidates.- buyer loyalty to existing brands is high or low. - capital requirements for new entrants are high or low.

Answers

The best test of whether potential entry is a strong or weak competitive force is whether: C. the industry's growth and profit prospects are strongly attractive to potential entry candidates.

What is a competitive advantage?

In Economics, a competitive advantage can be defined as a measure of the factors, conditions, competitive assets, skills, labor force, or circumstances that allow a business organization to manufacture finished goods or services better and perhaps, cheaper (low costs) than other rival business organizations (competitors) who are operating within the same industry.

In Business management, some good examples of competitive assets that are owned and controlled by a business organization (company) include the following:

Price leadership.Access to scarce natural resources.Highly skilled labor.Results-oriented culture.Access to new or proprietary technology.

In this context, we can reasonably infer and logically deduce that you must determine whether or not the growth and profit of an industry (business organization) are strongly attractive to potential investors and entry candidates.

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The graph of y - 3 = 2.5( x - 1) is shown. The graph can be used to model the amount of water. Y, being poured into an 8 ounce glass over x seconds. What is the range given the context?

Answers

The range of the function, considering the context of this problem, is given as follows:

[0.5, 8].

How to obtain the range of a function?

The range of a function is the set that contains all the possible output values for the function.

The output variable in this context is given as follows:

Amount of water into the 8 ounce glass.

The y-intercept of the graph is obtained as follows:

y - 3 = 2.5(0 - 1)

y = -2.5 + 3

y = 0.5.

Hence the lower bound of the range is of 0.5.

The maximum capacity of the glass of water is of 8 ounces, hence the upper bound of the range is of 8.

The range is composed by a closed interval, as the amounts of 0.5 ounces and 8 ounces can be assumed by the function.

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given the arithmetic sequence: 5, 9, 13,... part a: what is the common difference and how do you find it?

Answers

The common difference is 4. To find it, you subtract the first two terms (5 and 9) to get 4. You can then use this answer to find the common difference in the sequence by subtracting each consecutive term. For example, 9-5=4, then 13-9=4, and so on.

The common difference is an important part of any arithmetic sequence. It is the number that is added to each term in the sequence to generate the next term. For example, the first two terms of the sequence are 5 and 9. The common difference of 4 is added to the first term (5) to get the second term (9). The common difference is then added to the second term (9) to get the third term (13), and so on. This is how the sequence is generated.  

The common difference is an important tool for analyzing the behavior of an arithmetic sequence. Knowing a common difference allows you to determine the nth term of the sequence, as well as the sum of the first n terms. It also helps you to identify patterns in the sequence and make predictions about future terms. Knowing a common difference is an essential part of analyzing arithmetic sequences.

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if you used the same experimental design, but instead used an endotherm, what results would you expect? explain how you came to this conclusion.

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if you used the same experimental design, but instead used an endotherm, you would expect to see a difference in the organism's ability to regulate its body temperature

If the same experimental design was used but with an endotherm (an organism that generates heat internally) instead of an ectotherm (an organism that relies on external sources of heat), I would expect to see a difference in the organism's ability to regulate its body temperature. Endotherms have a higher metabolic rate and are able to generate heat internally, whereas ectotherms rely on external sources of heat to regulate their body temperature. This means that endotherms would be less affected by changes in external temperature and would be able to maintain a more stable body temperature. Additionally, endotherms would likely have a higher tolerance for cold temperatures. I came to this conclusion because endotherms have internal heat regulation mechanisms that allow them to maintain a stable body temperature, whereas ectotherms do not.

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Need help with math

Answers

Answer: C

Step-by-step explanation: The slope is -5/4 and the y intercept is -1

to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below, keeping in mind that the y-intersect is when the graph intersects the y-axis, so

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{-1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-1}-\stackrel{y1}{4}}}{\underset{\textit{\large run}} {\underset{x_2}{0}-\underset{x_1}{(-4)}}} \implies \cfrac{-5}{0 +4} \implies \cfrac{ -5 }{ 4 } \implies - \cfrac{5 }{ 4 } \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \implies \qquad \begin{array}{llll} y=-\cfrac{5}{4}(~~x-(-1)~~) \\\\ {\Large \begin{array}{llll} y=-\cfrac{5}{4}(x+1) \end{array}} \end{array}[/tex]

A homeowner needs two loads of gravel for a driveway to their new house. One load of gravel weighs 7 tons and the second load weighs 8,000 pounds . What is the total weight of the gravel, in tons, used for the driveway?l1 toas87 tons7,8 tons

Answers

12 tons of gravel has been used for the driveway.

Weight of first load = 7 tons

Weight of second load = 8000 pounds

There are 2000 pounds (lb) in one US customary ton (t). Both tons and pounds are measurements of mass/weight in the US customary and imperial systems of measurement. However, the definitions of the ton vary in both systems. For example, there are 2240 pounds in an imperial ton, and 2204.6226 pounds in a metric ton.

The US ton is mostly used in the United States and Canada. The imperial ton was mostly used in the UK, and still is to a degree, but since the UK began the process of metrication, the metric ton is also used in the UK.

Convert pounds to tons:

1 pound = 0.0005 ton

8000 pounds = 4 ton

Then,

Weight of second load = 4 ton

Total weight of the gravel, in tons = Weight of first load + Weight of second load

= 8 tons + 4 tons

= 12 tons

Thus, 12 tons of gravel has been used for the driveway.

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I need help with this question

Answers

Answer:

D. x-7

Step-by-step explanation:

less than means subtract so julians height would be x-7

you got this <3

Answer

X-7

Step-by-step explanation:

X is a unknown variable which is her sisters hight.

We do not know Julian’s sisters hight so that is X

Julian sister=x

Julian is 7 inches shorter than his sister so that is the same as -7

So to find his hight do x-7.

the function is not one-to-one. delete part of the domain so that the function that remains is one-to-one. find the inverse function of the remaining function and give the domain of the inverse function.

Answers

According to the concept of inverse function, the domain of the function is explained below.

The term inverse function is defined as a function which is a square of a linear function.

Here we have know that we will restrict the domain of the function so that the function is one to one.

And then we will find the inverse and then we will find the domain of the inverse function.

Here we have given that the function is not one-to-one and then delete part of the domain so that the function that remains is one-to-one.

As we all know that a function is the set of inputs accepted by the function.

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you buy a package of 122 smarties and 19 of them are red. what is a 95% confidence interval for the true proportion of red smarties?

Answers

Answer:

1.96

Step-by-step explanation:

Determine if the following triangles are
congruent. If they are congruent, drag and
drop the postulate that proves they are
congruent. If they are not congruent, drag
and drop "not possible".
C
D
B

Answers

Answer: SAS

Step-by-step explanation:

A 10-item statistics quiz was given to 30 students. The table below gives the scores received along with the corresponding frequencies. A 2-column table with 6 rows. Column 1 is labeled score with entries 5, 6, 7, 8, 9, 10. Column 2

Answers

The mean of the scores is 8.5. Option B

What is mean?

You should recall that mean simply means average.  Mean in this case is the sum of the product of scores and their frequency divided by the sum of the frequency.

The table below helps to understand the mean very well

Column 1             frequencies              

 x                                  f                       fx

5                                    1                       5

6                                    2                       12

7                                    5                       35

8                                    5                      40

9                                    7                       63

10                                 10                       100

                            ∑f=30                 ∑fx= 255

Mean is calculated by the formula

Therefore the Mean = ∑fx/∑f   = 255/30 Mean = 8.5

                     

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Correct question

A 2-column table with 6 rows. Column 1 is labeled score with entries 5, 6, 7, 8, 9, 10. Column 2 is labeled Frequency with entries 1, 2, 5, 5, 7, 10.

What was the mean score on the quiz?

7.5

8.5

9

10

Simplify using order of
operations.
3.10(9 + 1)² 2
PEMA
MD
AS

Answers

The value of the expression 3.10(9 + 1)²2 is 620.

What is PEMDAS?

The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations. P is for "parentheses," E is for "exponents," M is for "multiplication," D is for division, A is for addition, and S is for subtraction.

Given:

An expression,

3.10(9 + 1)²2.

Solving the expression by the help of PEMDAS,

First, we solve the parenthesis,

3.10(10)²2

= 3.10 x 100 x 2

Now, applying multiplication,

3.10 x 100 x 2,

= 620

Therefore, the value is 620.

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Suppose you are asked to find the amount of time ttt , in seconds, it takes for the turntable to reach its final rotational speed. Which of the following equations could you use to directly solve for the numerical value of ttt

Answers

An answer is- More information is needed before t can be found.  So, option(D) is the correct answer.

Here initial rotation speed is given, the final rotation speed is given, and the asking for time( in a sec) is.

If we use,

A) θ=θ0+ω0t+(1/2)αt2

For this equation, we don't have any details about the value of angular displacement and angular acceleration, so it is not useful.

B) We use,

ω=ω0+αt

For this equation, we don't have any details about angular acceleration, so it is not useful.

C) We know that,

ω2=ω02+2α(θ−θ0)

In this equation, time is not included, hence it is not useful.

D) So, more information is needed.

Thus, option (D) is the correct answer.

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The complete question is:

Suppose you are asked to find the amount of time t, in seconds, it takes for the turntable to reach its final rotational speed. Which of the following equations could you use to directly solve for the numerical value of t?

A) θ=θ0+ω0t+(1/2)αt2

B) ω=ω0+αt

C) ω2=ω02+2α(θ−θ0)

D) More information is needed before t can be found.

Other Questions
Durante su niez, roberto era el ________ de toda la familia. haca los quehaceres cada da. ms calvo ms obediente menos calvo menos obediente the object person will be declared as type employee. which of the following descriptions is accurate? group of answer choices an instance of the person class is employee. an attribute of the person object is name. an instance of the employee object is person. an attribute of the age object is int. the chemical secreted into the gap between neurons at a synapse alice is an 8-year-old girl whose psychic energy is channeled into constructive, socially acceptable activities. according to freud what developmental stage is she in? a movie star is convincing the general public about the dangers of immunizing children. this is an example of a a space shuttle is in orbit about the earth at an altitude where the acceleration due to gravity is 8.70 m/s2. what is the shuttle's speed at this altitude? Keisha reads a label on a measuring cup that shows 16 fluid ounces is the same as 2 cups. Using this information, how many fluid ounces are in 6 cups? suppose that 70% of college women have been on a diet within the past 12 months. a sample survey interviews an srs of 267 college women. what is the probability that 75% or more of the women in the sample have been on a diet? Consider the diagram. Line l is a perpendicular bisector of line segment R Q. It intersects line segment R Q at point T. Line l also contains point S. Line segment R S is 3 x 2. Line segment S Q is 5 x minus 8. What is QS How many significant figures are there in the following number? 801.5 which exponential function decreases faster 100(.2661)^t100(.1593)^t how to copy data from multiple sheets to one sheet in excel Mylie's total utility from singing the same song over and over is 80 utils after one repetition, 120 utils after two repetitions, 100 utils after three repetitions, 50 utils after four repetitions, -20 utils after five repetitions, and -170 utils after six repetitions, as shown in the table below. a. Write down her marginal utility for each repetition. Instructions: Enter your answers as a whole number. If you are entering any negative numbers be sure to include a negative sign (-) in front of those numbers. Repetitions 0 Total Utility 0 Marginal Utility 1 80 80 2 120 40 3 100 30 4 50 20 5 -20 -110 6 -170 -120 tanvi, a 13-year-old girl, prefers playing rough sports to playing house with dolls. she also prefers short hair and baggy trousers to long hair and pink dresses preferred by most of the girls her age. despite wanting to play with boys of her age and dress like them, tanvi continues to behave and dress like other girls because she fears that her peers will demean her and make fun of her if she does otherwise. this scenario exemplifies the concept of . group of answer choices cultural relativism peer pressure ageism reciprocal socialization What isequal to? (5 points)3^3/23^92^93^27 2^27 Which of the following is a solution of the equation 2x+y =10 ?A.x=2, y =3B.y =0C.x=7, y=-2D.x= 3, y =3 if aspen evolved an adaptation that made it more drought-tolerant, the expansion of its range would most likely occur ? group of answer choices in north central canada. in northwestern canada and alaska. across the great plains of the united states. in southeastern united states. Corioli force i one reaon for the development of ocean current provide two anwer In the lab, you looked at speed-time graphs to determine the acceleration of the cart for each of the three fan speeds. What was the acceleration of the cart with Low fan speed Which of the following processes is at work when we are able to recall only information that confirms our existing stereotypes? a. stereotype recall bias