Reminder: Assume all dimensions are feet.

Task: Surround the given figure with a fence. Estimate that you will need 5% more than the actual perimeter in case of mistakes.

Cost: $30 for 3 feet of fence

Cost of Task =

Hence, the option D "The interquartile range of the number of DVDs owned is 65" is correct.

In the given question, we have to in each person in a random sample of adults was asked how many DVD, he or she owned.

Summary Statistics are given below

Variable     N     Mean     Median     TiMean     St Dev     St Mean

DVDs         117    129.4       50.0          76.5           3236           29.2

Variable     Minimum        Maximum                    Q1            Q3

DVDs              00                3000                         30.0          95.0

We have to which of the following statements is true?

(A) Seventy-five percent of the adults in the sample own more than 95 DVDs.

(B) Fifty percent of the adults in the sample own between 0 and 129.4 DVDs

(C) The distribution of the number of DVDs owned appears to be approximately symmetric

(D) The interquartile range of the number of DVDs owned is 65.

(E) The distribution of the number of DVDs owned contains outliers on both the low side and the high side.

Option (A) is incorrect because 95 is third quartile value and there is only 25% values above third quartile. So, statement is incorrect.

Option (B) is incorrect because 0 is minimum value and 129.4 is mean value. Percent between mean and minimum is not always fixed, so we cannot say that 50% of values are between 0 and 129.4. So, statement is incorrect.

Option (C) is incorrect because median and mean must be equal for symmetric curve, but these are not equal. So, it is not a symmetric curve.

Option (D) is correct because

IQR (Interquartile range)

IQR = Q3 - Q1

IQR = 95 - 30

IQR = 65.

So, option D is correct answer.

Option (E) is incorrect because

lower outlier limit = Q1-1.5*IQR

lower outlier limit = 30 - 1.5*65

lower outlier limit = -67.5

upper outlier limit = Q3 + 1.5*IQR

upper outlier limit = 95 + 1.5*65

upper outlier limit = 192.5

So, there is outliers only on upper side because maximum is 3000>192.5, but there is not value below 0.

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The diagonals are congruent and the median is parallel to the bases in isosceles trapezoid .

What is an isosceles trapezoid?

An isosceles trapezoid is trapezoid in which the base angles are equal and therefore the left and right side lengths are also equal.

In any isosceles trapezoid, two opposite sides (the bases) are parallel, and the two other sides (the legs) are of equal length (properties shared with the parallelogram). The diagonals are also of equal length.

The diagonals are congruent because if the diagonals are congruent the at least to of its legs (probably the vertical ones) are congruent. and the median is parallel to the bases in isosceles trapezoid  because parallelism indicates that heights (vertical legs) are accurately congruent .

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By putting the values the solution to the given Algebraic Equation is 9

What is Algebraic Equation?

In mathematics, an algebraic expression is an expression composed of variables and constants as well as algebraic operations (addition, subtraction, etc.). Terms combine to form expressions.

Solution:

[tex]c^{2} - a + 2a / b[/tex]

a = -3, b = 2, c = 3

Putting the values

3*3 - (-3) + 2(-3) / 2

We will use BODMAS

3*3 + 3 - 6 / 2

3*3 + 3 - 3

9 + 3 - 3

12 - 3

9

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Answer:55%

Step-by-step explanation:So, first find the total number of tickets sold 374+306=680. Now, divide the number of discount tickets by the total number and multiply the result by 100% to express the result as a percentage. Percentage of discount tickets=(374/680)100%=55%. So, 55% percent of the tickets sold at the amusement park were discounted.

The required time to travel 30 miles is given as 45 minutes and 3/4 hours.

Given that,
A car that travels 20 miles in 1/2 hour at constant speed is traveling at the same speed as a car that travels 30 miles.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Speed = Distance/time
Speed = 20 / [1/2]
Speed = 40 miles per hour,
Time = Distance / Speed
Time = 30 / 40
Time = 3 / 4 hour

Thus, the required time to travel 30 miles is given as 45 minutes and 3/4 hours.

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The function that represents the simple interest formula is A(n)=P+(n-1)i*P, where n is a positive integer. (Option D)

Simple interest refers to the method of calculating the amount of interest charged on a sum at a given rate and for a given period of time. It is given by the formula:

SI = Pin

Where SI is the interest amount, P is the principal amount, i is the interest rate, and n is the number of period.

So, for n-1 years, the simple interest is:

SI = P(n-1)*i

The total amount charged is given by

A(n) = P + SI

A(n) = P + (n-1)i*P

Note: The question is incomplete. The complete question probably is: Select the function that represents the simple interest formula. A. A(n)=(n-1)(P*i)^n, where n is any real number. B. A(n)=n+(P-1)i*P, where n is a positive integer. C. A(n)=P(1+i)^n-1, where n is any real number. D. A(n)=P+(n-1)i*P, where n is a positive integer

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Therefore, the answer to this question is option (C) ex ante forecasts

To face the challenge of improving operational performance while increasing production efficiency, performance forecasting is a crucial service to help decision-making in the idea, design, and operational phases of an asset.

Here,

As to evaluate forecasting performance of a model or compare relative performance of two models,

can be examined on the basis of ex ante forecasts

The term "ex-ante forecast" refers to a forecast that only takes into account the data (i.e., the value of economic variables) that is available at the time of the actual forecast and not the value of some variables that will be available later on.

Therefore, the answer to this question is option (C) ex ante forecasts

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Answer:

All of the three are correct characteristics.

Step-by-step explanation:

In a normal distribution, the following attributes are observed:

From the image, you can see symmetry and a bell-shaped distribution.

As you can see from the center-most point in the image, the mean, median, and mode are equal.

Therefore, all three characteristics are correct in a normal distribution.

In this study assessing the effect of anxiety (low vs. high) and stress (low vs. moderate vs. high) is at N = 20.

With respect to

n [tex]\leq[/tex] 0.05 N

Given:

If n = 10

10/0.05 [tex]\leq[/tex] N

n = 10

=> 2 Treatments

=> N = 20

This is the study of the effect of anxiety (low vs. high) and stress (low vs. moderate vs. high) on test performance uses = 10 in each treatment condition.

Thus, one-way ANOVA, when Fx = 1

One-way analysis of variance (ANOVA) is used to determine whether there are statistically significant differences between the means of three or more independent (unrelated) groups. This guide provides a brief introduction to one-way ANOVA, including test assumptions and when to use this test.

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Answer: 20%

Step-by-step explanation: Annual depreciation = $2,600 * 12 = $31,200

Annual depreciation rate = Annual depreciation /Depreciable costs

= $31,200 / ($188,000 - $32,000)

= 20%

a) the probability of 4 success  = 0.00629

b)the probability of at least 1 success = 1.5726

In Probability, the set of outcomes of an experiment is called events. There are different types of events such as independent events, dependent events, mutually exclusive events, and so on.

If the probability of occurrence of an event A is not affected by the occurrence of another event B, then A and B are said to be independent events.

given that

the probability of success on each of 6 independent trials of an experiment is 0.2.

a) the probability of 4 success

P(x=4) = 6[tex]C_{4}[/tex][tex](0.2)^{4}[/tex][tex](0.8)^{6}[/tex]

          = 15×0.0016×0.2621

          = 0.00629

b)the probability of at least 1 success

p(x≥1) = 1 - p(x<1)

         = 1 - 6[tex]C_{0}[/tex][tex](0.6)^{0}[/tex][tex](0.8)^{6}[/tex]

        = 1.5726

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The value of the account at the​ child's twenty-first​ birthday is 102125.44

We can use the compound interest formula to determine the value of the account (A) on the​ child's twenty-first​ birthday:

A = P (1 + r/n)^(nt)

Where:

P is the initial amount of money deposited in the account

r is the interest rate

n is the number of times the interest is compounded per year

t is the number of years

Given: P = 14000, r = 9.5% = 0.095, t = 21, n = 12 (i.e. 12 months per year)

Substitututing into A = P (1 + r/n)^(nt):

A = 14000 (1 +  0.095/12)^(12×21)

A = 14000 (1 +  0.095/12)^(252)

A = 102125.44

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The value index for grains produced in 2018 is 1.101

the year-end price and production of grains for 2015 and 2018 are listed

Grain   price(2015) production(2015)    price(2018) production (2018)

Oats      2.4878        1298                        2.5712           814

Wheat    5.0936       26117                       4.9757          51287

Corn      3.7829        345506                  3.7043            366287

Barley    5.0836       4750                       4.9757            3333

The value index can be calculated by using the formula

V = ∑P₁Q₁/P₀Q₀

V = ((2.5712 x 815) + (4.9757 x 51287) + (3.7043 x 366287) + (4.9757 x 3333))/ ((2.4878 x 1298) + (5.0936 x 26117) + (3.7829 x 345506) + (5.0836 x 4750))

V = (2095.5 + 255188.72 + 1356836.93 + 16584)/(16584 + 133029 + 1307014 + 24147.1)

V = 1630704.22/1480774.01

V = 1.101

Therefore, using 2015 as the base period, the value index for grains produced in 2018 is 1.101

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The distinction between them is that an integer is a negative number without a decimal point.

All whole numbers and negative numbers are considered integers. This means if we include negative numbers together with whole numbers, we form a set of integers.

Positive, negative, and zero are all examples of integers.

The Latin word "integer" signifies "whole" or "intact."

As a result, fractions and decimals are not included in integers. In this article, let's learn more about integers, their definition, and their characteristics.

According to our question-

The group of integers that are neither whole nor a natural number are:

As previously noted, the third set of integers lacks a decimal point;

However, the difference between them is that; a negative number without a decimal point is referred to as an integer

From the provided set: only fit into the description of an integer, because

It does not have a decimal point

And that is unfavorable.

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These following answers are correct

We are given residual plots

In given(a) plot there is weak relationship between scatter points

we see curved relationship in this residual plot therefore model is unreasonable .

Note - This model is reasonable when this plot should look approximately normal and scatterplot of residuals should show random

scatter. In these plots we see weak relationship and line as model is unreasonable

2)We are given residual plot.

Given 2nd (c) plot there is strong relationship between scatter points we see positive straigh line relationship in this plot therefore model is resonable.

Also these model look approximately normal land scatterplot of residuals show random scatter.

In these plot we see strong relationship and linear model is reasonable

Therefore, these statements are correct.

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Albert daily rate is 3.79%

We know that rate is the quantity  or amount or the degree of a quantity measured with another quantity.

Albert's credit card APT = 20.7%

Daily balances are

Days 1-3 = (20.7*50)/100   = 10.35

Days 4-10 = (20.7*100)/100 =20.70

Days 11-25 = (20.7*175)/100 = 36.225

Days 26-30 = (20.7*225)/100 =46.575

Number of days in the month = 30 days

Total  balance = $113.80

Daily rate = [tex]\frac{Total amount }{number of days}[/tex]

daily rate = [tex]\frac{113.80}{30}[/tex]

Dividing the figures we have 3.79

Therefore the daily rate is 3.79%

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The exact value of sec 30°- sin 45° + sin 90° is 1.45.

What is the trigonometric ratio?

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.

Here, we have

sec 30°- sin 45° + sin 90°

we have to find the exact value of the given expression,

sec 30° = 2/√3

sin 45° = 1/√2

sin 90° = 1

Put all values in the given expression, and we get

sec 30°- sin 45° + sin 90° = 2/√3 -  1/√2 + 1

sec 30°- sin 45° + sin 90° = 1.15 - 0.70 + 1

sec 30°- sin 45° + sin 90° = 1.45

Hence, the exact value of sec 30°- sin 45° + sin 90° is 1.45.

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According to a driver, the South Boro Police issue 60 speeding penalties on average each day. These numbers display the daily average number of speeding fines issued over a randomly chosen 30-day period. At alpha = 0.05, there is not enough data to disprove the motorists' assertion.

Traditional Method:

H0: μ = 60

H1: μ ≠ 60

n = 30

Sample mean = 58.9

Standard Deviation = 13.42

t-statistic = -1.85

Number of Degrees of Freedom = 30 - 1 = 29

α = 0.05

Critical t-value = ±2.045

Since -1.85 does not lie in the rejection region, we fail to reject the null hypothesis.

Therefore, there is not enough evidence to reject the motorists claim at alpha = 0.05.

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Step-by-step explanation:

F males + weua yvy did / How does Landman’s new eclectic phase differ from Blondel’s behaviouralist phase?

The proportional equation has a general form. The proportional relation is:

                                              y = k/x

The letters y and x are variables that can vary, and the letter k is the constant of proportionality. A constant of proportionality is a constant ratio between the y and x variables. The constant of proportionality can be found by calculating y/x.

A proportional relationship is a relationship between two variables in which as one variable changes, increases, or decreases, the other variable changes at a constant rate. A constant ratio is considered a constant ratio between two variables. Proportional relationships can be identified by proportional equations, graphs, or tables. The proportionality equations discussed in this lesson have the general form: The graph is displayed as a straight line. The table is pairs of numbers with a constant ratio between the pairs.

Therefore, only linear relationships with zero y-intercept are directly proportional.

For example:

If 1 hat is $20, 2 hats are $40, 3 hats are $60, and so on. This is a direct share. If you triple the number of hats, the total amount will triple.

For 1 hut and $30 fee, 2 hut and $50 fee, 3 hut and $70 fee. This is a linear relationship, with each additional hat ordered increases the price by $20. However, due to a one-time processing fee of $10, the total price of 3 hats will not be 3 times the total price of 1 hat.

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Derivatives are used to determine that the following is the best statement:

The acceleration of object C is greater than the acceleration of object D.

When you divide the change in velocity by the change in time, you get the acceleration, which is: a=Δv/Δt

In this issue:

hence the right answer is:

The acceleration of object C is greater than the acceleration of object D.

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Answer:

Object C had an acceleration that is greater than the acceleration for D

Step-by-step explanation:

a) The linear function for the 2005 estimate is given as follows: y = 30 + 5x.

b) The linear function for the 1990 estimate is given as follows: y = 53.75 + 2.25x.

c) They would be predicted to have the same cost in the year of 2013.

d) The 1990 prediction was closer, however it still had a large residual, hence neither was good enough.

The linear functions are defined in the slope-intercept format, given as follows:

y = mx + b.

In which:

Taking 2005 as the estimate, the function is given as follows:

y = 30 + 5x.

Taking 1990 as the estimate, the equation would be of:

y = 20 + 2.25x.

The estimate for 2005 would be of:

y = 20 + 2.25(15) = 53.75.

Hence the equation taking 2005 as the estimate would be of:

y = 53.75 + 2.25x.

The costs would be the same when:

30 + 5x = 53.75 + 2.25x.

2.75x = 23.75

x = 23.75/2.75

x = 8.63 -> + 2005 -> year of 2013.

The estimates for 2011(6 years after 2005) are given as follows:

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The correct option is: A

Statement I is the cause and statement II is the effects.

Since the Government has imported large quantities of sugar as per trade agreement with other countries, the prices of sugar in the domestic market have fallen sharply in the recent months.

The reason behind this statement is:

An increase in supply always leads to a decrease in price.

Supply : Supply is a fundamental economic concept that describes the total amount of a particular good or service available to consumers. Supply can refer to the quantity available at a particular price or the quantity available across the price range displayed on the chart. It is closely related to the demand for goods or services at a particular price. All else being equal, when prices rise, producer supply increases as all firms try to maximize their profits.

Increase in Supply:

If the demand does not change, there is an inverse relationship between the supply and price of goods and services. When the supply of goods and services increases at the same demand, prices tend to fall resulting in lower equilibrium prices and higher equilibrium quantities of goods and services. When the supply of goods and services decreases for the same demand, prices tend to rise towards higher equilibrium prices and smaller quantities of goods and services.

Since the supply of sugar increases as government has over imported, the price of sugar decreases in domestic market.

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The value of X is 22.

Value is regard that something is held to deserve,  the important worth or usefullness of something.

The calculation is as follows:

In the case of an isosceles trapezoid if there is any lower base angle is supplementary to any upper base angle.

So,  

6x + 2x + 4 = 180

8x + 4 = 180

8x = 176

x = 22

Therefore we can conclude that The value of X is 22.

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Therefore the slope of the line passes through  (5, 9) and (3, -5) comes out to be 7.

By computing the ratio of the vertical to horizontal distance (rise over run) between two points, the slope—a numerical value that defines how steep a line is—is often calculated.

Here,

The slope of line that passes through  (5, 9) and (3, -5)
Slope= gradient between the two points

Slope= (y2-y1)/(x2-x1)

Where y2= -5

Y1= 9

X2= 3

X1= 5

=> (-5-9)/(3-5)

=> -14/-2

=> 7

Therefore the slope of the line passes through  (5, 9) and (3, -5) comes out to be 7.

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The algebraic equation representing cost can be given as C= 85n+1500.

What is an equation in one variable and power one?

The equation for a linear equation in one variable is written as ax+b = 0, where a and b are two integers and x is a variable. This equation has only one solution which can be found by separating the constant and variable terms in the equation.

We are given that A banquet hall charges $1500 to rent the hall and $85 per guest that attends.

Let the number of guests be n

Hence, The equation can be given as

C = 85n+1500

Where C is the cost, n is the number of guests attending.

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Answer: The area is going to be 0.8

Step-by-step explanation:  The diameter is 1

You need the radius of the circle which is half the diameter. So the Radius(R) is 0.5.

After you find the radius of the circle to find the area of the circle you use the formula pie (R)^2. You are using 3.14

3.14(0.5)^2= 0.785

you then want to round your answer to the nearest tenth so the 8 turns the 7 into an 8.

So, the Area is 0.785 but after rounding it is 0.8.

Hope that helped :)