List two numbers in the domain of Table #1.х2.153Table #18 117 13142117312043ух110213Table #23 4 518 21 266 729 34yShare with Classх421Table #36 8 1011 16 2112261431y6

The unit rate of change in this situation is 0.25 mile per hour.

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The reasonable estimate would be 25

We have to solve this using the rule of 3

9 out of 30 members said that they run more than 5 days a week.

We will form the equations

when 9 ran = 30 menbers

when n ran = 84 members

we will then cross multiply

84 x 9 = 30 x n

n = 25.2

When we round this, the reasonable estimate would be 25

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Complete question

Freemont Run Club surveyed a random sample of 30 of their members about their running habits. Of the members surveyed, 9 said that they run more than 5 days a week.

There are 84 Freemont Run Club members.

Based on the data, what is the most reasonable estimate for the number of Freemont Run Club members who run more than 5 days a week?

Answer:

C. x + 4 = 15

D. 4=15−x

Step-by-step explanation:

Well, C is the same exact problem but D could be it too because it is easier to solve for X.. I'm pretty sure you can choose 2 answers

Answer: The answer is 652.8

Step-by-step explanation:

First, one dozen cupcakes is 12.. So do 12*2=24 to get two dozen cupcakes.

Next, do 27.2*24=652.8

Understanding statistical questions and data distributions is an important concept in data analysis and statistics. A statistical question is one that can be answered by collecting and analyzing data.

These questions typically ask about a population or group of individuals and are often related to trends or patterns.

Data distributions refer to the way data is spread out or distributed within a dataset. This can include measures like the mean, median, and standard deviation. Understanding data distributions is important for making accurate interpretations and predictions based on the data.

To practice understanding statistical questions and data distributions, it's important to work with real-world datasets and ask questions that can be answered using statistical analysis.

This can involve looking at trends and patterns in the data and interpreting the results in a meaningful way. By building these skills, you can become better equipped to analyze and interpret data in a variety of settings.

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Step-by-step explanation:

The given is that John has 312ft of fencing. (Think of the 312ft as the perimeter)

The garden's legth is 6 ft more than 5 times it's width.

Let X be the garden's width:

This is what we know about the length:

It is 5 times + 6 more than the width

Now that we know this, lets set an equation to find the garden's dimentions.

X + (5X+6) = 312

      (because we know  Y = X * 5 + 6)

Now it's time to simplify:

Simplified X is equal to 51, so this is the length.

From the given the length is 5 times + 6 more than the width so the length is 5*51+6 which is 261

Answer:

The width is 51 and the length is 261. Hope this is correct and hope this helps. Brainliest would help :)

After cοmpleting the task, we can state that The whοle number clοsest tο  expressiοn 7.141 is 7. Therefοre, √51 is clοsest tο the whοle number 7.

The whοle numbers are the part οf the number system which includes all the pοsitive integers frοm 0 tο infinity. These numbers exist in the number line. Hence, they are all real numbers. We can say, all the whοle numbers are real numbers, but nοt all the real numbers are whοle numbers.

Thus, we can define whοle numbers as the set οf natural numbers and 0. Integers are the set οf whοle numbers and negative οf natural numbers. Hence, integers include bοth pοsitive and negative numbers including 0. Real numbers are the set οf all these types οf numbers, i.e., natural numbers, whοle numbers, integers and fractiοns.

√51 is apprοximately equal tο 7.141. The whοle number clοsest tο 7.141 is 7.

Therefοre, √51 is clοsest tο the whοle number 7.

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Answer:

Hint: everything in that big [] is to the power of zero. anything to the power of zero is one. so

1+(6-8)=?

Answer:

60

Step-by-step explanation:

56-7+22÷2

56-7+11

67-7=60

hope it helps thanks

Answer:

BD = 16, ∠ BAD = 45°

Step-by-step explanation:

Given that Δ ABC and Δ BAD are congruent, then corresponding sides and corresponding angles are congruent, then

BD = AC = 16

and

∠ BAD = ∠ ABC = 45°

Answer:

BD=16, <BAD=45⁰

the triangle is congruent to triangle BAD is SAS

To find the polar equation of a conic with focus at the pole, directrix y=3, and eccentricity of 2, we can use the definition of a conic in polar coordinates.

The general form of the polar equation for a conic with focus at the pole is given by:

r = \(\frac{ed}{1+e\cos(\theta-\theta_0)}\)

Where:

- r is the distance from the origin (pole) to a point on the conic.

- e is the eccentricity.

- d is the distance from the pole to the directrix.

- θ is the angle between the polar axis and the line connecting the pole to a point on the conic.

- θ_0 is the angle between the polar axis and the line connecting the pole to the focus.

In this case, the focus is at the pole, so θ_0 = 0. The directrix is y = 3, which means its distance from the pole is d = 3. The eccentricity is given as 2, so e = 2.

Substituting these values into the general equation, we get:

r =\(\frac{2\cdot3}{1+2\cos(\theta-0)}\)

Simplifying further:

r =\(\frac{6}{1+2\cos(\theta)}\)

Therefore, the polar equation of the conic with focus at the pole, directrix y=3, and eccentricity of 2 is:

r =\(\frac{6}{1+2\cos(\theta)}.\)

This equation describes the shape of the conic in polar coordinates, where r represents the distance from the origin to a point on the conic, and θ represents the angle between the polar axis and the line connecting the origin to the point.

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By using the formula for the distance we will see that the correct option is B:

√52

We will use the general formula to find the distance between two points (a, b) and (c, d)

it is:

distance = √( (a - c)^2 + (b - d)^2)

Here we want to find the distance between the points (-2,-3) and (4,1), if we use the above formula we will get:

distance = √( (-2 - 4)^2 + (-3 - 1)^2) = √( 36 + 16)

distance = √52

The correct option is B.

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a) 95% confidence interval for the mean​cost, μ​, of all recent weddings in this country = (22,550.95, 30,226.40).

b) The interpretation of the confidence interval at 95% confident is that the mean​ cost, μ​,of all recent weddings in this country is somewhere within the confidence interval

c) The population mean may or may not lie in this​ interval, but we can be​ 95% confident that it does.

Sample size = 20

Sample Mean = $26,388.67

Sample Standard deviation = $8200

Confidence Interval = (Sample mean) ± (Margin of error)

Sample Mean = 26,388.67

Margin of Error = (Critical value) × (standard Error of the mean)

To find the critical value from the t-tables, we first find the degree of freedom and the significance level.

Degree of freedom  = n - 1 = 20 - 1 = 19.

Significance level for 95% confidence interval will be:

(100% - 95%)/2 = 2.5% = 0.025

t (0.025, 19) = 2.086

Standard error of the mean = σₓ = (σ/√n)

σ = standard deviation of the sample = 8200

n = sample size = 20

σₓ = (8200/√20) = 1833.6

99% Confidence Interval = (Sample mean) ± [(Critical value) × (standard Error of the mean)]

CI = 26,388.67 ± (2.093 × 1833.6)

CI = 26,388.67 ± 3,837.7248

99% CI = (22,550.9452, 30,226.3948)

99% Confidence interval = (22,550.95, 30,226.40)

a) 95% confidence interval for the mean​cost, μ​, of all recent weddings in this country = (22,550.95, 30,226.40).

b) The interpretation of the confidence interval at 95% confident is that the mean​ cost, μ​,of all recent weddings in this country is somewhere within the confidence interval

c) The population mean may or may not lie in this​ interval, but we can be​ 95% confident that it does.

Therefore, we get the results as:

a) 95% confidence interval for the mean​cost, μ​, of all recent weddings in this country = (22,550.95, 30,226.40).

b) The interpretation of the confidence interval at 95% confident is that the mean​ cost, μ​,of all recent weddings in this country is somewhere within the confidence interval

c) The population mean may or may not lie in this​ interval, but we can be​ 95% confident that it does.

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Your question was incomplete. Please refer the content below:

A random sample of 20 recent weddings in a country yielded a mean wedding cost of $ 26,388.67. Assume that recent wedding costs in this country are normally distributed with a standard deviation of ​$8200.Complete parts​ (a) through​ (c) below. A. Determine a​ 95% confidence interval for the mean​cost, μ​, of all recent weddings in this country. The​ 95% confidence interval is from $_________ to $__________.b) Interpret your result in part​ (a). Choose the correct answer below. A. We can be​ 95% confident that any randomly selected recent wedding cost in this country is somewhere within the confidence interval B. We can be​ 95% confident that the sample cost of recent weddings in this country is somewhere within the confidence interval. C. The mean​ cost, μ​,of all recent weddings in this country is somewhere within the confidence interval. D. We can be​ 95% confident that the mean​ cost, μ​,of all recent weddings in this country is somewhere within the confidence interval. C. Does the mean cost of all recent weddings in this country lie in the confidence interval obtained in part​ (a)? Explain your answer. A. ​Yes, since the confidence interval must contain the sample and population means. B. The population mean may or may not lie in this​ interval, but we can be​ 95% confident that it does. C. The sample mean may or may not lie in this​ interval, but we can be​ 95% confident that it does. D. ​No, since there is a​ 5% chance that the population mean does not lie in the confidence interval.

The height of the cylindrical piece of pure gold with density and mass of 19.32 g/cm³ and 1699.48g, having a radius of 2cm is 7cm.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Also, density is expressed mathematically as;

p = m / v

Given that;

First, we determine the volume of the cylinder.

Density = Mass / Volume

Volume = Mass / Density

Volume = 1699.48g / 19.32g/cm³

Volume = 87.9648 cm³

Next, we determine the height.

V = π × r² × h

87.9648 = 3.14 × (2)² × h

87.9648 = 3.14 × 4 × h

87.9648 = 12.56 × h

h = 87.9648 / 12.56

h = 7cm

Therefore, the height of the cylinder is 7cm.

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Mean - this is the average. Add up the numbers and divide by the count of the numbers in the data set.

11+13+14+16+17+18+20+20+21+24+25+29 = 228

There are 12 numbers, so divide by 12.

228/12 = 19. The mean is 19.

Median - - - this is the MIDDLE number. Your data is already in numerical order (hooray!) so there are 12 numbers. Since it's even, we'll take the average of the 2 middle numbers. The 6th number is 18 and the 7th number is 20. The average of these is 19. So the median is 19.

(Side note: yes, median and mean can be the same.)

Mode - - - this is repeat/most common numbers! 20 repeats. 20 is the mode.

Range - - - biggest number is 29, littlest is 11. The range is 29-11 = 18.

Solving a system of equations we can see that the total cost of three sandwiches and three orders of soda is $12.

Let's define the variables:

x = cost of a sandwich.

y = cost of a soda.

We can write the system of equations:

4x + y = 11.50

x + 4y = 8.5

We can isolate x on the last equation to get:

x = 8.5 - 4y

Replacing that on the first equation we will get:

4*(8.5 - 4y) + y = 11.5

Now we can solve this for y.

34 - 16y + y = 11.5

34 - 15y = 11.5

34 - 11.5 = 15y

22.5 = 15y

22.5/15 = y

1.5 = y

Then the value of x is:

x = 8.5 - 4*1.5 = 2.5

Then the cost of 3 sandwiches and 3 orders of soda is:

cost = 3*2.5 + 3*1.5 = 12

The cost is $12.

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Answer: The function that is represented by the equation y = negative 10 x + 6 has a steeper slope and a greater y-intercept.

Step-by-step explanation: I took the unit test on edge hoped this helped <3

We want to compare the slopes and y-intercepts of two given linear functions.

The comparations that we can make are:

The general linear function in the slope-intercept is:

y = a*x + b

where a is the slope and b is the y-intercept.

Here, the two given lines are:

y = -10*x + 6

(here we can see that the slope is -10 and the y-intercept is 6).

The other line is:

y - 36 = 8*(x - 4)

Writing this in the slope-intercept form we get:

y = 8*x - 8*4 + 36

y = 8*x - 32 + 36

y = 8*x + 4

Then the slope is 8 and the y-intercept is 4.

Then the comparations that we can make are:

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Answer:

3(x + 4)- X= 12

Step-by-step explanation:

Answer:

  x/4 = 36/x

Step-by-step explanation:

You want the proportion relating the altitude of the right triangle to the segments of the hypotenuse.

All the triangles in this figure are similar, so the ratios of corresponding sides are the same:

  long leg/short leg = x/4 = 36/x

The proportion of interest is ...

  \(\boxed{\dfrac{x}{4}=\dfrac{36}{x}}\)

__

Additional comment

The solution is ...

  x² = 4·36

  x = 2·6 = 12

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Answer:

The length KL is 8 units

The value of x is undefined

The length KL is 12 units

From the question, we have the following parameters that can be used in our computation:

The rhombus

Also, we have

DK = 8

A rhombus is a quadrilateral with all sides equal.

So, we have

KL = 8

Here, we have

SKAL = 2x - 8

There is no point S on the rhombus

This means that

x = undefined

Here, we have

DM = 5y + 2 and DK = 3y + 6

A rhombus is a quadrilateral with all sides equal.

So, we have

5y + 2 = 3y + 6

Evaluate

2y = 4

Divide

y = 2

So, we have

KL = 5 * 2 + 2

KL = 12

Hence, the length KL is 12 units

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Answer:

(A)

Step-by-step explanation:

The survey follows of women's height a normal distribution.

The height of 98.51% of women that meet the height requirement are between 58 inches and 80 inches.

The new height requirements would be 57.7 to 68.6 inches

The given parameters are:

\mathbf{\mu = 63.5}μ=63.5 --- mean

\mathbf{\sigma = 2.5}σ=2.5 --- standard deviation

(a) Percentage of women between 58 and 80 inches

This means that: x = 58 and x = 80

When x = 58, the z-score is:

\mathbf{z= \frac{x - \mu}{\sigma}}z=

σ

x−μ

This gives

\mathbf{z_1= \frac{58 - 63.5}{2.5}}z

1

=

2.5

58−63.5

\mathbf{z_1= \frac{-5.5}{2.5}}z

1

=

2.5

−5.5

\mathbf{z_1= -2.2}z

1

=−2.2

When x = 80, the z-score is:

\mathbf{z_2= \frac{80 - 63.5}{2.5}}z

2

=

2.5

80−63.5

\mathbf{z_2= \frac{16.5}{2.5}}z

2

=

2.5

16.5

\mathbf{z_2= 6.6}z

2

=6.6

So, the percentage of women is:

\mathbf{p = P(z < z_2) - P(z < z_1)}p=P(z<z

2

)−P(z<z

1

)

Substitute known values

\mathbf{p = P(z < 6.6) - P(z < -2.2)}p=P(z<6.6)−P(z<−2.2)

Using the p-value table, we have:

\mathbf{p = 0.9999982 - 0.0139034}p=0.9999982−0.0139034

\mathbf{p = 0.9860948}p=0.9860948

Express as percentage

\mathbf{p = 0.9860948 \times 100\%}p=0.9860948×100%

\mathbf{p = 98.60948\%}p=98.60948%

Approximate

\mathbf{p = 98.61\%}p=98.61%

This means that:

The height of 98.51% of women that meet the height requirement are between 58 inches and 80 inches.

So, many women (outside this range) would be denied the opportunity, because they are either too short or too tall.

(b) Change of requirement

Shortest = 1%

Tallest = 2%

If the tallest is 2%, then the upper end of the shortest range is 98% (i.e. 100% - 2%).

So, we have:

Shortest = 1% to 98%

This means that:

The p values are: 1% to 98%

Using the z-score table

When p = 1%, z = -2.32635

When p = 98%, z = 2.05375

Next, we calculate the x values from \mathbf{z= \frac{x - \mu}{\sigma}}z=

σ

x−μ

Substitute \mathbf{z = -2.32635}z=−2.32635

\mathbf{-2.32635 = \frac{x - 63.5}{2.5}}−2.32635=

2.5

x−63.5

Multiply through by 2.5

\mathbf{-2.32635 \times 2.5= x - 63.5}−2.32635×2.5=x−63.5

Make x the subject

\mathbf{x = -2.32635 \times 2.5 + 63.5}x=−2.32635×2.5+63.5

\mathbf{x = 57.684125}x=57.684125

Approximate

\mathbf{x = 57.7}x=57.7

Similarly, substitute \mathbf{z = 2.05375}z=2.05375 in \mathbf{z= \frac{x - \mu}{\sigma}}z=

σ

x−μ

\mathbf{2.05375= \frac{x - 63.5}{2.5}}2.05375=

2.5

x−63.5

Multiply through by 2.5

\mathbf{2.05375\times 2.5= x - 63.5}2.05375×2.5=x−63.5

Make x the subject

\mathbf{x= 2.05375\times 2.5 + 63.5}x=2.05375×2.5+63.5

\mathbf{x= 68.634375}x=68.634375

Approximate

\mathbf{x= 68.6}x=68.6

Hence, the new height requirements would be 57.7 to 68.6 inches

Answer:

I think the answer is C ,The sample proportion is the fraction of samples which were successes, so. (1) For large , has an approximately normal distribution.

Step-by-step explanation:

If the queston true please votes 5 stars and mark as brainliest for me.Thank you so much

Given that a 98% confidence interval for a proportion is found to be (0.62, 0.68). The sample proportion will be 0.65.

Formula to calculate the confidence interval for population proportion p :-

\(p' - Z_{\alpha }\sqrt{\frac{p'q'}{n} } < p < p' + Z_{\alpha }\sqrt{\frac{p'q'}{n} }\)

Where,

p is the population proportion.

p' is the sample proportion.

n is the size of the sample.

\(Z_{\alpha }\) is the desired degree of confidence.

Given that a 98% confidence interval for a proportion p is found to be (0.62, 0.68).

\(p' - Z_{\alpha }\sqrt{\frac{p'q'}{n} } = 0.62\\\\p' + Z_{\alpha }\sqrt{\frac{p'q'}{n} } = 0.68\)

Adding the two equations,

2p' = 1.3

p' = 0.65

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Answer: To solve the problem, we can use the formula for exponential decay:

N(t) = N0 * (1/2)^(t/T)

where:

N(t) is the amount of the radioactive element at time t

N0 is the initial amount of the radioactive element

t is the time that has elapsed

T is the half-life of the radioactive element

Let's assume that the initial amount of carbon-14 in the bones was N0. After the bones were discovered, they had lost 60.1% of their carbon-14, which means that only 39.9% of the original carbon-14 remained. Therefore, we can write:

N(t) = 0.399 * N0

We want to find the time t that has elapsed since the mastodon died. We can rearrange the formula for exponential decay to solve for t:

t = T * log( N(t) / N0 ) / log(1/2)

Substituting the given values, we get:

t = 5750 * log( 0.399 ) / log(1/2)

Using a calculator, we find that t is approximately 16060 years. Therefore, the bones were approximately 16060 years old at the time they were discovered.

Step-by-step explanation: