In this research study, respondents provided their Age, Gender, and the age they expected to retire (Age retire). They also answered if they are more or less optimistic about the future of the United States than you were a year ago (Optimistic future), and if they expected to be better off than their parents were over their lifetime (Expect future). The data file is Response to Future Optimism Survey You can find this data set on StatCrunch Data>Load>Featured Data Sets >
Response to Future Optimism Survey
The variable names of interest and labels are as follows:
Age:
Participant's age
Gender:
Male, Female, Other
Age Retire:
Expected age to retire
StatCrunch Components
You will need a boxplot (single graph) for Age Retire but with separate boxes for Gender.
You will need three histograms, based on gender, that show Age Retire.
You need to conduct descriptive statistics for Age Retire. Report the sample size, mean, median, mode and standard deviation for the variable by Gender and Optimistic Future.
For the questions on probability, you will need to write your answers using appropriate statistical notation (i.e., p(x > 50) = .050). Additionally, you need to write a sentence explaining what this means using percentages (i.e., The probability of getting a score greater than 50 is 5%)

10 procent

Step-by-step explanation:

150 / 150 = 10

Answer:10%

Step-by-step explanation:

The parameter values for the Margules equation that best fit the p-x1 data of the methanol/water system at 333.15 K were determined using Barker's method.

Barker's method is a technique used to estimate the parameter values for the Margules equation, which describes the behavior of binary liquid mixtures. The given p-x1 data for the methanol/water system at 333.15 K consists of pressure (p) and mole fraction of methanol (x1). By applying Barker's method, the parameter values can be determined to provide the best fit for the data.

The Margules equation is given as ln(gamma1) = (A12 + 2*A21) * x2^2 / (RT), where gamma1 is the activity coefficient of methanol, A12 and A21 are the Margules parameters, x2 is the mole fraction of water, R is the ideal gas constant, and T is the temperature.

To find the parameter values, a non-linear regression analysis is performed, minimizing the sum of squared differences between the experimental and calculated values. The obtained parameter values allow for a better representation of the vapor-liquid equilibrium behavior of the methanol/water system at 333.15 K.

This approach helps in understanding the system's behavior and can be useful for various industrial applications, such as separation processes and designing distillation columns.

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Answer: Should be quadrant 3

Step-by-step explanation:

1 is everything in -360

2 is everything in -270

3 is everything in -180

4 is everything in -90

So basically it is less than -90 so it couldn’t be in quadrant 4 it would be before it so quadrant 3. Sorry if this is incorrect but it is to the best of my knowledge

You want the interest rate that gives a balance of 17499 after 11800 is invested for 5 years and the interest is compounded annually.

What is Compounded Interest?

The value of an account earning interest at rate r compounded annually for t years is ...

A = P(1 +r)^t

Solving for r, we find ...

 A/P = (1 +r)^t . . . . . . . . divide by P

 (A/P)^(1/t) = 1 +r . . . . . . take the t-th root

 r = (A/P)^(1/t) -1 . . . . . . subtract 1

Using the given account values and time, we find the interest rate to be

 r = (17499/11800)^(1/5) -1

≈ 0.081997

r ≈ 8.2%

Hence, The compound interest rate is 8.2%.

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Answer:

13x  > 36

or if they want x solved

x < 2.8

Step-by-step explanation:

Answer:

\( \longmapsto \sf \: 13 \times x < 36\)

\( \longmapsto \sf \: 13x < 36\)

Answer:

dogs = 2

cats = 80

Step-by-step explanation:

Here I will assume that cats and dogs are proportional

c = y d, if you substitue, you get

10 = y 4, which rearranged, becomes

y = 10/4 = 2.5

now that we know y, we can work out x and y, the missing dogs and cats

4 = 2.5 d

here, dogs = 2

c = 2.5 * 32

2.5 * 32 = 80

here, cats = 80

Mate's car can travel 1 minute farther per gallons of gas than Jenna's car.

We know that Mate's car gets 30 miles per gallon and Jenna's car gets 25 miles per gallon. We can convert miles to kilometers by multiplying by 1.609344.

This gives us 48 kilometers per gallon for Mate's car and 40 kilometers per gallon for Jenna's car.

If we assume that both cars are traveling at the same speed, then Mate's car will travel 8 kilometers farther than Jenna's car in one gallon of gas. We can convert kilometers to minutes by dividing by 60.

This gives us 5 minutes per gallon for Mate's car and 4 minutes per gallon for Jenna's car.

Therefore, Mate's car can travel 1 minute farther per gallon of gas than Jenna's car.

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Abilities and altitudes are two individual differences that are generally reliable indicators of the likelihood of system error.

The ability of an individual to effectively use a system is a reliable indicator of the likelihood of system errors. People who are less experienced and less knowledgeable about the system are more likely to make mistakes, which can lead to system errors.

In addition, an individual's attitude towards the system can also have an effect. People who are more anxious or frustrated while using the system may make more errors due to a lack of concentration or incorrect assumptions.

Finally, an individual's susceptibility to stress can also play a role in how likely they are to make mistakes while using the system as stress can lead to a lack of focus and poor decision-making. Knowing these two human individual differences can help to predict the likelihood of system errors and help to reduce the risk of them occurring.

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Answer:

p > 8

Step-by-step explanation:

p - 2 > 6

Add 2 to each side

p > 8

Answer:

From the problem, we know that:

s + h = 137 (the total number of sodas and hot dogs sold is 137)

s = h + 49 (the number of sodas sold is 49 more than the number of hot dogs sold)

Now we can substitute the second equation into the first equation:

(h + 49) + h = 137

Simplifying this equation:

2h + 49 = 137

Subtracting 49 from both sides:

2h = 88

Dividing both sides by 2:

h = 44

Now we know that 44 hot dogs were sold. We can use the second equation to find the number of sodas sold:

s = h + 49

s = 44 + 49

s = 93

Therefore, 93 sodas were sold.

Number of sodas sold: 93

Number of hot dogs sold: 44

Step-by-step explanation:

Answer: Let's use variables to represent the number of sodas and hot dogs sold.

Let x be the number of hot dogs sold.

According to the problem, the number of sodas sold was 49 more than the number of hot dogs sold, so the number of sodas sold is x + 49.

The problem also tells us that the combined total of sodas and hot dogs sold was 137. So we can set up an equation:

x + (x + 49) = 137

Simplifying the left side:

2x + 49 = 137

Subtracting 49 from both sides:

2x = 88

Dividing both sides by 2:

x = 44

So the number of hot dogs sold was 44.

To find the number of sodas sold, we can use the expression we set up earlier:

x + 49

Substituting in our value for x:

44 + 49 = 93

So the number of sodas sold was 93.

Answer: Number of sodas sold: 93, Number of hot dogs sold: 44.

Brainliest Appreciated  

According to the Empirical Rule, approximately 68% of the data in a normal distribution will fall within ±1 standard deviation of the mean.

The correct option is (b)

The empirical rule states that the proportion of values within 1,2, and 3 standard deviations of the mean are approximately 68%, 95%, and 99.7% approximately. It implies majority of the values in a normal distribution lies within 1 standard deviations of the mean.

The Empirical Rule states that for a normal distribution:

About 68% of the data will fall within 1 standard deviation of the mean

About 95% of the data will fall within 2 standard deviations of the mean

About 99.7% of the data will fall within 3 standard deviations of the mean

Therefore, option (b) 68 is the correct answer.

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At a discount rate of 20%, the present value of your aunt’s offer of $22,000 in 17 years is approximately $190.46.


To calculate the present value of your aunt’s offer, we use the discount rate of 20%. The formula for present value is PV = FV / (1 + r)^n, where PV is the present value, FV is the future value, r is the discount rate, and n is the number of periods. Plugging in the values, we have PV = $22,000 / (1 + 0.20)^17, which gives us approximately $190.46.

For the investment scenarios, we use the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount (initial investment), r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years. Plugging in the given values for each case, we calculate the final amounts.
a. A = $12,500(1 + 0.07/1)^(1*8) ≈ $19,956.77.
b. A = $12,500(1 + 0.10/1)^(1*17) ≈ $46,426.32.
c. A = $12,500(1 + 0.12/2)^(2*20) ≈ $73,785.59.
Therefore, if you invest $12,500 today, you will have approximately $19,956.77 in 8 years at 7%, $46,426.32 in 17 years at 10%, and $73,785.59 in 20 years at 12% compounded semiannually.

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The sum of a number, its cube root and its square is 759. So the number that satisfies the given condition is approximately 54.

Explanation: Let's assume the number is represented by "x". According to the problem, the sum of the number, its cube root (x^(1/3)), and its square (x^2) is equal to 759. Mathematically, this can be expressed as x + x^(1/3) + x^2 = 759. To find the value of "x", we can use numerical methods or approximation techniques. By solving this equation, it is found that x is approximately equal to 54. Substituting this value into the equation, we have 54 + (54)^(1/3) + (54)^2 ≈ 54 + 3.76 + 2916 ≈ 759. Therefore, the number that satisfies the given condition is approximately 54.

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Greetings from Brasil...

Just replace the N of the function F(N) with the requested value - 10:

F(N) = 2N + 3

F(- 10) = 2 · (- 10) + 3    now N has been replaced by - 10

F(- 10) = - 20 + 3

Answer:

A circle is the set of all points in a plane equidistant from a given point.

Step-by-step explanation:

A circle is a shape composed of a single line or set of points that have the same distance from the center of the circle or that are equidistant from the center.

Answer: a circle have no sides or no cornors

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

V = pie x 7² x h

V = 3.14 ×7² x 10

V = 3.14 x 49 x 10

V = 3.14 x 490

V = 1538.6

If you add 2 it will make it 3077.2 and that goes over so 1

Hope this helps :)

The p-value for this hypothesis test is 0.263.

The percentage of parents who feel overwhelmed has decreased from the pandemic/stay at home era, we can use a hypothesis test with the following null and alternative hypotheses:

Null hypothesis: The percentage of parents who feel overwhelmed is still 70%.

Alternative hypothesis: The percentage of parents who feel overwhelmed has decreased from 70%.

We can use a one-sample proportion test to test this hypothesis. The test statistic is calculated as:

z = (p - p0) / sqrt(p0 * (1 - p0) / n)

where p is the sample proportion, p0 is the hypothesized population proportion, and n is the sample size.

In this case, the sample proportion is:

p = 335 / 500 = 0.67

The hypothesized population proportion is:

p0 = 0.70

The sample size is:

n = 500

We can calculate the test statistic as:

z = (0.67 - 0.70) / sqrt(0.70 * (1 - 0.70) / 500) = -1.44

Using a standard normal distribution table or calculator, we can find the p-value associated with this test statistic.

For a two-tailed test with a significance level of 0.05, the p-value is approximately 0.1492.

This means that if the null hypothesis is true, there is a 14.92% chance of obtaining a sample proportion as extreme as 0.67 or more extreme in favor of the alternative hypothesis.

Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis.

Therefore, we do not have enough evidence to conclude that the percentage of parents who feel overwhelmed has decreased from the pandemic/stay at home era.

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Completely factored expressions are:

1. x² - 7x - 18 can be factored as:

(x - 9)(x + 2)

Expand the expression using FOIL:

(x - 9)(x + 2) = x² + 2x - 9x - 18 = x² - 7x - 18

2. p² - 5p - 14 can be factored as:

(p - 7)(p + 2)

Expand the expression using FOIL:

(p - 7)(p + 2) = p² + 2p - 7p - 14 = p² - 5p - 14

3. m² - 9m + 8 can be factored as:

(m - 1)(m - 8)

Expand the expression using FOIL:

(m - 1)(m - 8) = m² - 8m - m + 8 = m² - 9m + 8

Therefore, the completely factored expressions are:

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Answer:

_______Y=0.75X-2_______

Answer:

4.

Step-by-step explanation:

Each term is separated by a symbol.

Terms can be: 4x, 0.5x, 3, 700, etc.

term 1: x

term 2: 12

term 3: 3

term 4: 2

Hope that helped <3

Answer: 7/6

Step-by-step explanation:

4/6 + 3/6

4+3+6

=7/6

Answer:

A: 50:100

Step-by-step explanation:

The ratio 5:10 is the ratio of caramels to fruit creams.  This ratio is equivalent to 50:100.

answer

explanation

35/100 * 40

7/20 * 40

7 * 2

7 * 2 = 14

The simple random sample of size 2 that will be selected is {b, c}.

To create a simple random sample of size 2 using the random digits 9, 0, 3, 7, 3, 2, 4, follow these steps:
1. Assign each letter a random number: 1 corresponds to a, 2 corresponds to b, and so on.
2. Go through the given random digits and find the first two that correspond to a valid letter.

The random digits are 9, 0, 3, 7, 3, 2, 4.
9 and 0 do not correspond to any letters (since we only have numbers 1, 2, 3, and so on). The next digit is 3, which corresponds to the letter c. The following digit, 7, does not correspond to a letter, so we move on to the next digit. The next digit is 3 again, which we have already selected. The next valid digit is 2, which corresponds to the letter b.
Thus, the simple random sample of size 2 that will be selected using these random digits is the set {b, c}.

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Answer:

−13w − 6.8

Step-by-step explanation:

Let's simplify step-by-step.

−6w − 8.3 + 1.5 − 7w

−6w + −8.3 + 1.5 + −7w

Combine Like Terms:

−6w + −8.3 + 1.5 + −7w

(−6w + −7w) + (−8.3 + 1.5)

−13w + −6.8

The answer is -13w+9.8

In Algebra, the like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic like terms, only the numerical coefficients can vary. We can combine the like terms to simplify the algebraic expressions.

Given here: -6w + (-8.3) + 1.5 + (-7w) = -13w+9.8

Hence, The answer is -13w+9.8

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We have demonstrated using the Intermediate Value Theorem that the polynomial function has a real zero between 1 and 7.

To apply the Intermediate Value Theorem to the polynomial function f(x) = x^3 - x - 4 and show that it has a real zero between the integers 1 and 7, we need to verify that f(1) and f(7) have opposite signs.

Let's evaluate f(1) and f(7) to determine their signs:

f(1) = (1)^3 - (1) - 4 = 1 - 1 - 4 = -4

f(7) = (7)^3 - (7) - 4 = 343 - 7 - 4 = 332

From the calculations, we can see that f(1) = -4 and f(7) = 332.

Since f(1) is negative (-4) and f(7) is positive (332), they have opposite signs.

According to the Intermediate Value Theorem, if a continuous function changes sign between two points, then it must have at least one real zero between those points.

Since f(1) = -4 (negative) and f(7) = 332 (positive), the polynomial function f(x) = x^3 - x - 4 must have a real zero between the integers 1 and 7.

Therefore, we have demonstrated using the Intermediate Value Theorem that the polynomial function has a real zero between 1 and 7.

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Answer:

ab= 11 and bc = 8

Step-by-step explanation:

Answer:

AB = 11 units,   BC = 8 units,

Step-by-step explanation:

We have the following: