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The relationship between d and t.

d = 49t

The correct equation is C.

How quickly something or someone is moving is determined by their speed. If you know how far an object has traveled and how long it has taken, you can calculate its average speed. Speed equals distance times time, according to the speed formula. Knowing the units for distance and time will help you determine what the units are for speed.

speed = 49 miles/hour

Distance

Time

as we know :

Speed = Distance  /  Time .

Then:

49 = Distance/Time

Distance = 49*Time .

the relationship between d and t ( d = 49t).

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I understand that the question you are looking for is :

A cheetah runs at a speed of 49 miles for every hour. If the distance traveled, in miles, is d and time, in hours, is t, which equation shows the relationship between d and t?

A. d = 49 + t

B. t = 49 + d

C. d = 49t

D. t = 49d

For dy/dt = (1 + t^2)/ (3y - y^2), the hypotheses of Theorem 2.4.2 are satisfied, and a unique solution exists in some interval around the initial point if y ≠ 0 and y ≠ 3.

The hypotheses of Theorem 2.4.2 state that for the initial value problem

dy/dt = f(t, y), y(t₀) = y₀

to have a unique solution in some interval t₀ - h < t < t₀ + h within α < t < β, provided that:

f and its partial derivative with respect to y, ∂f/∂y, are continuous in a rectangle α < t < β, γ < y < δ that contains (t₀, y₀).

To determine if the hypotheses are satisfied for the given differential equation we need to check if f and ∂f/∂y are continuous in a rectangle that contains the initial point (t₀, y₀). If they are, then the hypotheses of Theorem 2.4.2 are satisfied, and a unique solution exists in some interval around the initial point.

dy/dt = (1 + t^2)/ (3y - y^2)

dy/ dt = (1 + t^2)/ y(3 - y)

So dy/dt is not continuous at y = 0 and y = 3.

So the hypotheses of Theorem 2.4.2 are satisfied, and a unique solution exists in some interval around the initial point if y ≠ 0 and y ≠ 3.

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The probability that at least one imperfect battery will be selected is 0.271, or about 27.1%.

The probability that at least one imperfect battery will be selected, we need to find the probability that all three batteries are perfect and subtract that from 1.

The probability that a battery is perfect is 0.9, and the probability that a battery is imperfect is 0.1.

The probability that all three batteries are perfect is:

P(Perfect Battery 1) x P(Perfect Battery 2) x P(Perfect Battery 3)

= 0.9 x 0.9 x 0.9

= 0.729

The probability that at least one imperfect battery will be selected is:

1 - P(all three batteries are perfect)

= 1 - 0.729

= 0.271

This means that in approximately 27.1% of cases, the quality control manager will have to reject the entire batch of batteries produced that day.

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Answer:

x = -3

Step-by-step explanation:

55 + 54 = 109

109 + 74 = 183

Triangles = 180 degrees

So, 74 - 3 = 71

And 55+54+71 = 180

We can conclude that -

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given is that the regular price on a pair of jeans is $54. The store advertises a back-to-school sale at 40% off the regular price of the jeans. Two weeks later, the store advertises a sale at an additional off the sale price of these jeans at 5%.

Original price -

$54

Cost after 40% discount -

54 - {40% of 54}

54 - {40/100 x 54}

54 - {2/5 x 54}

54 - 21.6

$32.4

Cost after 5% discount -

32.4 - {5% of 32.4}

32.4 - {5/100 x 32.4}

32.4 - 1.62

$30.78

{ 3 } -

Calculating 60% of new price -

60% of 30.78

(60/100) x 30.78

18.5

Calculating 40% of new price -

40% of 30.78

(40/100) x 30.78

12.4

So, 60% of new price is greater than calculating 40%.

So, Manny is correct.

Therefore, we can conclude that -

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Research scenariο wοuld mοst likely be biased against nοn-vοters are :

Bias in research refers tο a systematic deviatiοn frοm the truth in the results οf a study, usually due tο factοrs that affect the sampling, measurement, οr analysis οf data. A research scenariο is biased against nοn-vοters if it systematically under-represents οr misrepresents the views, οpiniοns, οr behaviοrs οf peοple whο dοn't vοte in the sample οr pοpulatiοn under study.

In the given οptiοns, the scenariοs that are biased against nοn-vοters are:

Therefοre, research scenariο wοuld mοst likely be biased against nοn-vοters are :

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Answer:

Step-by-step explanation:

a = b - 7000

0.05a + 0.07b = 1690

Since we have a "value" for a, we can substitute that "value" in place of a.

0.05(b - 7000) + 0.07b = 1690

0.05b - 350 + 0.07b = 1690

0.12b = 2040

b = $17,000

The simplified form of a rational equation [x + 1 / (x - 2)] / [x² / (x - 2) + 1] is equivalent to (x - 1) / (x + 2).

In this problem we need to determine the simplified form of a rational equation, whose form is:

R(x) = P(x) / Q(x)

Where:

The simplification process can be done by means of algebra properties. First, write the rational equation:

[x + 1 / (x - 2)] / [x² / (x - 2) + 1]

Second, expand the numerator and the denominator:

[(x² - 2 · x + 1) / (x - 2)] / [(x² + x - 2) / (x - 2)]

Third, simplify the fraction by algebra properties:

[(x² - 2 · x + 1) · (x - 2)] / [(x² + x - 2) · (x - 2)]

(x - 1)² / [(x + 2) · (x - 1)]

(x - 1) / (x + 2)

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Answer:

-128

Step-by-step explanation:

Given, f(x)=2x

3

−21x

2

+36x−20

∴f

′

(x)=6x

2

−42x+36

When f(x) is a maximum or a minimum, f

′

(x)=0

Hence, 6x

2

−42x+36=0

x

2

−7x+6=0

x

2

−6x−x+6=0

x(x−6)−1(x−6)=0

(x−6)(x−1)=0

x=1,6

Again f

′′

(x)=12x−42

=6(2x−7)

Now, when x=1,f

′′

(x)=−30 ....[negative]

And when x=6,f

′′

(x)=30 ....[positive]

Hence, f(x) is maximum for x=1 and minimum for x=6.

The maximum and minimum values of f(x) are

f(1)=2(1)

3

−21(1)

2

+36(1)−20

=2−21+36−20=−3

f(6)=2(6)

2

−21(6)

2

+36(6)−20

=432−756+216−20=−128

The percentage of graduating classes had taken fewer than 6 math classes is 10%.

In essence, percentages are fractions with 100 as the denominator. To show that a number is a percentage, we place the percent sign (%) next to it. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

Given that this year 75% of the graduating class has taken at least 8 math classes. of the remaining class members, 60% had taken 6 or 7 math classes

75 % took at least 8 math courses

of the remaining class members( 25 % remain ),

60 % took 6 or 7 math courses, thus 60 % of 25 % is

0.6x25 %=15 % took 6 or 7 math courses

so 75 % took 8 or more math courses, 15 % took 6 or 7 math courses, therefore that leaves 10 % taking fewer than 6 math courses ( 75 %+15 %=90 %, 100 %-90 %=10 %)

Therefore the percentage of graduating class who had taken fewer than 6 math classes is 10%.

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Answer:

25x-5

Step-by-step explanation:

I think that is proportional

First to answer

Answer:

The answer is proportional! The pricing is consistent!

5/2 = 2.5

2.5* 3 = 7.5

Answer:

  D: {-3, 1, 4, 8}

  R: {-8, 1, 9, 13}

Step-by-step explanation:

The domain is the list of the x-values: {-3, 1, 4, 8}.

The range is the list of the y-values: {-8, 1, 9, 13}.

__

As you have noted, we like the elements of a set to be listed in order from smallest to largest. Repeated elements (if any) are listed only once.

The large-sample confidence interval for comparing two proportions can be used when certain conditions are met.

The large-sample confidence interval for comparing two proportions can be used when the following conditions are satisfied:

Under these conditions, the large-sample confidence interval can provide a reasonable estimate of the true difference between the two proportions. It is important to note that this method relies on asymptotic approximations and may not be accurate for small sample sizes or when the conditions are not met. In such cases, alternative methods like exact tests or simulation-based approaches may be more appropriate.

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For this case study, the sampling plan aims to investigate the relationship between a dependent variable (Y) and independent variables (Xs).

To conduct the study, a sample plan will be developed to gather data on the variables of interest. The operational definition will specify how the Y variable will be measured and the specific X variables that will be considered. For example, if the study aims to examine the impact of weather conditions (X1) and maintenance schedule (X2) on service disruptions (Y), the operational definition will outline how to measure service disruptions and the specific weather and maintenance factors to be considered.

The sample size will be determined based on a 95% confidence level. This confidence level ensures that the findings can be generalized to the population with a high degree of certainty. Sample size calculations can be performed using statistical formulas or software tools, taking into account factors such as the desired level of confidence, expected effect size, and variability in the data.

To reduce bias, a random sampling strategy will be employed. Random sampling ensures that each member of the population has an equal chance of being included in the sample. This approach helps minimize selection bias and increases the generalizability of the findings to the population.

A proposed data collection sheet will be used to systematically record the relevant variables and their values for each observation. The data collection sheet will include fields for recording Y (service disruptions) and the corresponding Xs (weather conditions, maintenance schedule) for each sample. The sheet should be designed to be easy to use and capture the necessary information accurately.

The criteria for success in this sampling plan involve obtaining an adequate sample size determined by statistical calculations, using an operational definition that clearly defines the variables of interest and their measurement, implementing a random sampling strategy to minimize bias, and having a well-designed data collection sheet that captures the required information accurately.

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Answer: y=-3x+5

Step-by-step explanation:

The slope intercept form is y=mx+b

Substitute m and b

Avery interpreting the Probability is wrong because 0.40 represents probability in the long run over many visits to the site

Probability: The chance that a given event will occur. The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes

given that the probability that a randomly selected visitor to a certain website will be asked to participate in an online survey is 0. 40

Avery claims that for the next 5 visitors to the site, 2 will be asked to participate in the survey

Avery interpreting the Probability is wrong because 0.40 represents probability in the long run over many visits to the site

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Answer:

Because 0.40 represents likelihood over many visits to the site in the long term, Avery's interpretation of the probability is incorrect.

Step-by-step explanation:

What does the term probability mean?

Probability: The likelihood that a specific occurrence will take place. the proportion between the total number of conceivable outcomes and the number of outcomes in a comprehensive collection of equally likely outcomes that result in a specific event

Given that there is a 0. 40 percent chance that a randomly chosen website visitor will be requested to take an online survey

Avery asserts that of the following 5 site visits, 2 will be required to complete the survey.

Because 0.40 represents chance over the long term and several visits to the site, Avery's interpretation of the probability is incorrect.

Thus, the long-distance moving company charges $68 per mover-hour.

To determine the charge per mover and per hour for a local and long-distance move, let us first find the hourly rate for each of the moves.

If for a local move 3 movers were hired for 2 hours, the total time the movers would have worked would be:3 movers * 2 hours = 6 mover-hour sIf the charge for the move was $480, the hourly rate for this move would be:$480/6 mover-hours = $80 per mover-hour

Thus, the local moving company charges $80 per mover-hour. Similarly, if for a long-distance move 5 movers were hired for 2 hours, the total time the movers would have worked would be:5 movers * 2 hours = 10 mover-hoursIf the charge for the move was $680,

the hourly rate for this move would be: $680/10 mover-hours = $68 per mover-hour Thus, the long-distance moving company charges $68 per mover-hour.

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Craig is accurate in that the supplied number line reflects the value of 1/3 since in the situation at hand, the red dot represents the value of 1/3.

Once someone outlines their solution and how they approached the challenge, clarifying questions should be asked.

List the parallels and differences between several approaches to solving the issue.

Find the mistake in a wrong response, and then provide proof to support your claim.

Create strong arguments and evaluate other people's reasoning.

What It Means: When kids can give us the right answer and explain how they arrived at it, we know they fully understand a topic.

So, in the given situation the red dot represents the value of 1/3, and thus Craig is correct that the given number line represents the value of 1/3.

Therefore, Craig is accurate in that the supplied number line reflects the value of 1/3 since in the situation at hand, the red dot represents the value of 1/3.

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The equation of the line with x-intercept -28 and y-intercept -7 is y = 1/4 x - 7.

Given that the x-intercept is -28 and y-intercept is -7.

The x-intercept is (-28, 0) and the y-intercept is (0, -7).

The slope of the line is found as below: slope = (y2 - y1)/(x2 - x1) = (-7 - 0)/(0 - (-28)) = 7/28 = 1/4

The equation of a line with slope m and y-intercept b is given by y = mx + b, where m is the slope and b is the y-intercept.

Therefore, substituting slope m = 1/4 and y-intercept b = -7, we get the equation of the line as follows: y = 1/4 x - 7.

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The sketch of the function will exhibit a downward trend on both sides and intersect the x-axis at -5, 1, and 4. The exact values of a and b can be chosen to achieve the desired end behavior.

To construct the desired polynomial, we know that since it has downward end behavior on both sides, the leading coefficient must be negative. Moreover, since there are three x-intercepts, the polynomial must have three linear factors corresponding to those intercepts.

Let's denote the polynomial as f(x). Since it has x-intercepts at -5, 1, and 4, the factors of the polynomial can be written as (x + 5), (x - 1), and (x - 4). To ensure downward end behavior, we need to multiply these factors by two additional linear factors. We can choose (x - a) and (x - b), where a and b are large positive values.

Therefore, the equation of the 4th-degree polynomial satisfying the given conditions is:

f(x) = -(x + 5)(x - 1)(x - 4)(x - a)(x - b)

The sketch of the function will exhibit a downward trend on both sides and intersect the x-axis at -5, 1, and 4. The exact values of a and b can be chosen to achieve the desired end behavior.

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Answer: possible dividend is 736, 737, 738, 739

Step-by-step explanation: The remainder cannot be divided by 5 so it can be 1, 2, 3 and 4 added to (147 ×5)

Answer: A

Step-by-step explanation:

If it’s 2:1

then its 104 divided by 2,

which is A

Answer:

45

Step-by-step explanation:

\(\huge\text{Hey there!}\)

\(\large\text{Guide to follow:}\)

\(\large\text{The word \boxed{\rm{difference}} means subtraction/subtract.}\)

\(\large\text{The word \boxed{\rm{product}} means addition/add.}\)

\(\large\text{The word \boxed{\rm{quotient}} means division/divide.}\)

\(\large\text{The word \boxed{\rm{product}} means multiplication/multiply.}\)

\(\large\text{Also guide to follow:}\)

\(\large\text{2 negatives gives you a positive}\)

\(\large\text{2 positives gives you a positive as well}\)

\(\large\text{1 negative \& 1 positive gives you a negative}\)

\(\large\text{1 positive \& 1 negative gives you a negative as well}\)

\(\large\textsf{So, in this particular question we're doing multiplication because the}\\\large\textsf{key term in the word phrase is \boxed{\textsf{product}}. }\)

\(\large\text{Now, that we have that information out of the way we can answer}\\\large\text{your given question.}\)

\(\large\text{The product of }\large\text{-15 and -3 is translated to \boxed{\rm{-}\large\text{15 }\times\ -\large\text{3}}}\)

\(\large\text{Equation: }\rm{-15\times-3}\)

\(\large\text{Simplify the equation we have gathered above and you should have}\\\large\text{pverall answer.}\)

\(\large\text{We have received was 45}\)

\(\huge\text{Therefore, your answer should be \boxed{\mathsf{45}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

the value of q is 2.

Step-by-step explanation:

The standard deviation for the total portfolio returns can be calculated using the weighted average of the standard deviations of the index fund and the risk-free asset. The standard deviation for the total portfolio returns is 10.5%.


The standard deviation of a portfolio measures the variability or risk associated with the portfolio's returns. In this case, the portfolio is 70% invested in an index fund (with a standard deviation of returns of 15%) and 30% invested in a risk-free asset.

To calculate the standard deviation of the total portfolio returns, we use the weighted average formula:

Standard deviation of portfolio returns = √[(Weight of index fund * Standard deviation of index fund)^2 + (Weight of risk-free asset * Standard deviation of risk-free asset)^2 + 2 * (Weight of index fund * Weight of risk-free asset * 1Covariance  between index fund and risk-free asset)]

Since the risk-free asset has a standard deviation of zero (as it is risk-free), the second term in the formula becomes zero. Additionally, the covariance between the index fund and the risk-free asset is also zero because they are independent. Therefore, the formula simplifies to:

Standard deviation of portfolio returns = Weight of index fund * Standard deviation of index fund

Plugging in the values, we get:

Standard deviation of portfolio returns = 0.70 * 15% = 10.5%

Hence, the standard deviation for the total portfolio returns is 10.5%. This means that the total portfolio's returns are expected to have a variability or risk represented by this standard deviation.

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Answer:

I'm sorry, but I cannot see the table you are referring to. However, I can explain the general approach to solving this type of problem.

When flipping a fair coin, there are two possible outcomes: heads or tails. The probability of getting heads on any one flip is 1/2, and the probability of getting tails is also 1/2.

If Vincent has already flipped the coins 40 times and recorded the outcomes, we can use that information to estimate the probability of getting exactly two heads in the next 120 flips.

One way to do this is to find the proportion of the 40 trials that resulted in exactly two heads. Let's say that out of the 40 trials, 10 of them resulted in exactly two heads. Then the proportion of trials that resulted in two heads is:

10/40 = 1/4

This means that the probability of getting exactly two heads in one trial is 1/4.

To find the expected number of trials out of the next 120 that will result in exactly two heads, we can multiply the probability of getting two heads in one trial by the total number of trials:

(1/4) x 120 = 30

Therefore, we would expect that out of the next 120 trials, approximately 30 of them would result in exactly two heads. However, this is just an estimate based on the information given. The actual number of trials that result in exactly two heads could be more or less than 30 due to random variation.

We are comparing the average gain in test scores for two different groups of girls - those assigned to coeducational chemistry classes and those assigned to single-sex chemistry classes. Since these gains are calculated from the data obtained from these specific groups of girls, they represent statistics rather than parameters.

In the given scenario:

The boldface number "12.2" represents a statistic.

The boldface number "15.1" represents a statistic.

A statistic is a numerical value that summarizes a sample of data, while a parameter is a numerical value that summarizes a population.

In this case, we are comparing the average gain in test scores for two different groups of girls - those assigned to coeducational chemistry classes and those assigned to single-sex chemistry classes. Since these gains are calculated from the data obtained from these specific groups of girls, they represent statistics rather than parameters.

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Answer:

C

m= 7 LO= 14 MO= 14

Step-by-step explanation:

LO and NO are going to be the same length



m + 7 = 2m

to get the variable alone subtract m from both sides

7 = m)

plug 7 into both equations

7 + 7 = 14

2 x 7 = 14