Consider the following double integral 1 = $ 1.44-** dy dx. 4-32لام By reversing the order of integration of I, we obtain: 1 = 5 **** S dx dy 1 = $. 84->* dx dy 14y O This option O This option 1= 15 ſt vzdx dy None of these

Answer:

B is 45    A is 135

Step-by-step explanation:

45 + 135 = 180

45 x 3 = 135

135 is three times as large as 45

135 and 45 are supplementary angles

The type of variable for,

a. The number of counties in California: Quantitative discrete.

b. The stages of childhood: Qualitative ordinal.

c. In the scenario above, 23 minutes is a statistic, because 28 students is a sample.

d. Between 6 minutes and 8 minutes: Approximately 68% of the athlete's mile times are expected to be between 6 and 8 minutes, according to the empirical rule.

e. Between 4 minutes and 7 minutes: Approximately 68% of the athlete's mile times are expected to be between 4 and 10 minutes, according to the empirical rule.

f. Less than 9 minutes: Approximately 84% of the athlete's mile times are expected to be less than 9 minutes, according to the empirical rule.

In statistics, variables can be categorized into two types: qualitative and quantitative.

Qualitative variables describe characteristics or qualities that cannot be measured numerically, such as gender or hair color.

Quantitative variables, on the other hand, represent numerical values that can be measured or counted.

There are two types of quantitative variables: continuous and discrete. Continuous variables can take any numerical value within a range, such as age or weight.

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Answer: The answer is x = 12/7 , -12/7

Step-by-step explanation:

The  rate of change of Wayne's hours of sleep with respect to each day is  5  hours per day.

The rate of change of Wayne's hours of sleep with respect to each day is calculated as follows;

Mathematically, the formula is given as;

rate of change of sleep = change in sleep / change in time of sleep

The change in the sleep pattern = 30 - 15 = 15 hours

The change in the time of sleep = 6 - 3 = 3 days

The  rate of change of Wayne's hours of sleep with respect to each day is calculated as

rate of change of sleep = ( 15 hours ) / ( 3 days )

rate of change of sleep = 5  hours per day

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The correct answer is c. hypothesized population proportion. In tests about a population proportion, p0 (pronounced as "p-naught") represents the hypothesized population proportion.

Which is the proportion of individuals in the population who possess a particular characteristic or exhibit a particular behavior. The hypothesized population proportion is typically derived from prior knowledge or information about the population or based on theoretical considerations.

It is used as a reference value to compare against the sample proportion (phat) to determine whether there is evidence of a statistically significant difference between the sample and population proportions.

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To draw the Hasse diagram for the poset (s, |), we need to first understand what the relation | means in this context. In general, | represents the "divides" relation between two elements of a set, where a | b means that a divides b (i.e. b is a multiple of a). So in this case, we have a poset on the set s = {1, 2, 3, 5, 10, 15, 20} where the relation between two elements a and b is a | b.

To draw the Hasse diagram, we start with the minimum element of s, which is 1, and draw a node for it. Then, we connect 1 to all of the elements that it divides, which are 2, 3, 5, 10, 15, and 20. We can arrange these elements in a line below 1, with 2 closest to it and 20 farthest away. Then, we connect each of these elements to the elements that they divide (if any), and continue this process until we have connected all of the elements that are related by the | relation.

The resulting Hasse diagram for (s, |) should look like a tree structure, with 1 at the top and the rest of the elements arranged in levels below it. Each element will be connected only to its immediate divisors.

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Answer:

just guess but it might be c

Answer:

A because its not the one that maintains congruence

Step-by-step explanation:

^^^^^

Answer:

3/2

Step-by-step explanation:

2y+3x=3

This represents a linear equation and the format for a linear equation is

y = mx+b

m = slope

b= y-intercept

we have to subtract 3x from both sides to make this the y=mx+b form

2y=-3x+3

and divide both sides by 2

y = (-3x+3)/2

3/2 or 1.5 is the y-intercept

the constant of a linear equation (or 3) is the y-intercept, if there is no constant then the y-intercept is 0

Answer:

1.5

Step-by-step explanation:

2y+3x=3

Convert to y=mx+b form...

y=mx+b

y(output)

x(input)

x(slope/growth)

b(y int/starting point)

Steps for converting to y=mx+b form:

-subtract 3x from both sides of equal sign

-divide by 2 on both sides

y = -1.5+1.5

so 1.5 is y int.

:)ur welcome

According to the information provided, statistics A seems to be an unbiased estimator of the population parameter.

Statistic A is the objective estimator of the population parameter, it should be emphasized. This is as a result of its 75 population parameter being its focal point. Statistic A would provide a more accurate estimate of the population parameter. This is due to the sample mean being 75, which is also the population mean. Given that statistic D is equal to the population means, it would serve as a more accurate estimate of the population parameter. The final point to make is that statistic C has no distribution shape.

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Answer:

V = 420 cm^3

Step-by-step explanation:

84 = 2x2x3x7 = 14 x 6

70 = 2x7x5 = 14 x 5

30 = 2x3x5 = 6 x 5

Volume = 14 cm x 6 cm x 5 cm

Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

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The eigenvalues and their algebraic and geometric multiplicities of the given matrix B are\(:`λ = 2` -\) algebraic multiplicity \(y = 1\), geometric multiplicity \(= 1.`λ = -1` -\) algebraic multiplicity \(y = 2\), and geometric multiplicity = 0.

The given matrix is,`\(B=1 1 -2 2 2 1 -2 2 1 2 -2 2 1 0 0 2 -1 0 0 0 -1 1`\)

We have to find the eigenvalues of the given matrix B.

To find the eigenvalues, we will find the determinant of\(`B-λI`\) , where I is the identity matrix and λ is the eigenvalue.`

\(B-λI = (1-λ) 1 -2 2 2 1 -2 2 1 2 -2 2 1 0 0 2-λ -1 0 0 0 -1 1-λ`\)

Expanding the determinant by the third row, we get:\(`(2-λ)[1 -2 2 1 -1 1-λ] - [0 -1 1-λ] + 0[0 -1 1-λ] = 0`\)

Simplifying the above equation, we get:  
\(`-λ³ + λ²(1+1+2) - λ(2(1-1-1)-2+0+0) + (2(1-1)+1(-1)(1-λ))=0`\)

On solving the above cubic equation, we get eigenvalues as \(`λ = 2, -1, -1.`\)

Now, we will find the algebraic and geometric multiplicities of the eigenvalues.

For this, we will subtract the given matrix by its corresponding eigenvalue multiplied by the identity matrix and then find its rank.`

i) For \(λ = 2:`B-2I = `[-1 1 -2 2 2 1 -2 2 1 2 -2 2 1 0 0 0 -1 0 0 0 -1 1]\)

`Rank of matrix `B-2I` is 2, which is equal to the algebraic multiplicity of the eigenvalue `λ = 2`.

Now, to find the geometric multiplicity of `\(λ = 2\)`, we have to find the nullity of matrix `B-2I`.

nullity = number of columns - rank = 3 - 2 = 1.

Therefore, the geometric multiplicity of \(`λ = 2\)` is 1.`ii) For \(λ = -1:`B-(-1)I = `[2 1 -2 2 2 1 -2 2 1 2 -2 2 1 0 0 2 0 0 0 0 0 1]`\)

The rank of matrix `\(B-(-1)I` is 3\), which is equal to the algebraic multiplicity of the eigenvalue `\(λ = -1`.\)

Now, to find the geometric multiplicity of \(`λ = -1\)`, we have to find the nullity of matrix `\(B-(-1)I\)`.nullity = number of columns - rank \(= 3 - 3 = 0.\)

Therefore, the geometric multiplicity of \(`λ = -1` is 0.\)

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The height of the jet is approximately 6603.6 meters.

Let AB be the line joining the two observation points A and B and let C be the position of the jet.

Let AC = h be the height of the jet above the horizontal line AB.

From A and B, respectively, angles of elevation of the jet are 43° and 62°. Let D be the foot of the perpendicular from C to AB.

Since angle of elevation of the jet from point A is 43°,

angle ADC = 90° - 43°

angle ADC = 47°.

Similarly,

angle ABD = 90° - 62°

angle ABD = 28°.

Now in triangle ADC, we have

tan 47° = h / AD

=> AD = h / tan 47°.

In triangle ABD, we have

tan 28° = h / BD

=> BD = h / tan 28°.

Adding these two, we have:

AB = AD + BD

AB = h / tan 47° + h / tan 28°

Applying the formula of the distance between two points in terms of their coordinates, we have:

AB = sqrt((28.5)² + h²)

Putting the two expressions of AB equal to each other and solving for h, we get:

h / tan 47° + h / tan 28° = sqrt((28.5)² + h²)h * (1 / tan 47° + 1 / tan 28°)

= sqrt((28.5)² + h²)h² * (1 / tan 47°² + 1 / tan 28°² + 2 / (tan 47° * tan 28°)))

= (28.5)² * tan² 47°(1 / tan 47°² + 1 / tan 28°² + 2 / (tan 47° * tan 28°)))h²

= (28.5)² * tan² 47° / (1 / tan 47°² + 1 / tan 28°² + 2 / (tan 47° * tan 28°)))h

= 6603.6 meters (approx.)

Therefore, the height of the jet is approximately 6603.6 meters.

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Answer:

the answer is yes  

because it is within the shaded region of both inequalities

Answer: D

Step-by-step explanation:

If u know that the total is 423, u can narrow the options down. They mention the variables with each food. Substitute and find the answer. Hope it helps!

Yes, if Trapezoid abcd has vertices a(2, 4), b(5, 4), c(7, 1), and d(0, 1) , ABCD is an isosceles trapezoid.

Since, If in a trapezoid two opposite nonparallel sides are equal then it is called isosceles trapezoid.

In trapezoid ABCD sides are AB, BC, CD and DA.

According to the question,  A≡(2,4) B≡(5,4) C≡(7,1) and D≡(0,1)

After making the diagram of ABCD, we found that DA and BC are nonparallel sides.

And, by the distance formula BC = √((7 - 5)² + (1 - 4)²) =

⇒ BC =√(4 + 9)

⇒BC = √13 unit.

Similarly, DA = √((0 - 2)² + (1 - 4)²)

DA  = √(4 + 9)

⇒ DA  = √13 unit.

Thus, In trapezoid ABCD, two non parallel sides BC and DA are equal.

Therefore, trapezoid ABCD is a isosceles trapezoid.

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If each outcome in the sample space is equally likely, the probability that all three new employees will be a good fit is 1/8.

In this scenario, each new employee can either be a good fit (g) or a bad fit (b). Since each outcome is equally likely, we can determine the probability of all three employees being a good fit by considering the total number of equally likely outcomes.

For each employee, there are two possible outcomes (good fit or bad fit). Therefore, the total number of equally likely outcomes for three employees is 2 * 2 * 2 = 8.

Out of these 8 outcomes, we are interested in the specific outcome where all three employees are a good fit (g, g, g). There is only one such outcome.

Hence, the probability of all three new employees being a good fit is 1 out of 8 possible outcomes, which can be expressed as 1/8.

Therefore, if each outcome in the sample space is equally likely, the probability that all of the new employees will be a good fit is 1/8.

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Answe545r:

45454

Step-by-step explanation:

If Mark has $9250 to put towards the project, he can include a maximum of 10 teams in his baseball league.

To determine the number of teams Mark can include in his baseball league, we need to consider the available budget and the expenses involved.

Mark has $9250 to put towards the project. Let's calculate the total expenses for each team:

Registration fees per team = $250

Equipment cost per team = $600

Total expenses per team = Registration fees + Equipment cost = $250 + $600 = $850

To find the number of teams Mark can include, we divide the available budget by the total expenses per team:

Number of teams = Available budget / Total expenses per team

Number of teams = $9250 / $850 ≈ 10.882

Since we cannot have a fraction of a team, Mark can include a maximum of 10 teams in his baseball league.

It's important to note that if the budget were larger, Mark could include more teams, given that the expenses per team remain the same. Similarly, if the budget were smaller, Mark would have to reduce the number of teams accordingly to stay within the available funds.

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Answer:

A one tailed test

Step-by-step explanation:

Chi-Square Distributions That Are Positively Skewed Have A Research Hypothesis That Is A One-Tailed Test.

Chi-Square distributions are positively skewed, with the degree of skew decreasing with increasing degrees of freedom.

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One-Tailed Test

Chi-Square distributions that are positively skewed have a research hypothesis that is a One-Tailed Test.

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The total change in the stock market from the beginning of the day to the end of the day is a decrease of \(89\frac{3}{4}\) points.

To find the total change in the stock market, we need to subtract the decrease at the end of the day from the increase at the beginning of the day.

The stock market starts by going up \(\(30 \frac{1}{2}\)\) points, which we can represent as a positive value: \(\(30 \frac{1}{2}\)\).

Then, the stock market goes down \(\(-120 \frac{1}{4}\)\) points, which we can represent as a negative value: \(\(-120 \frac{1}{4}\)\).

To find the total change, we subtract the decrease from the increase:

\(\(30 \frac{1}{2} - 120 \frac{1}{4} \\\\= 30.5 - 120.25 \\\\= -89.75\).\)

Therefore, the total change in the stock market from the beginning of the day to the end of the day is a decrease of \(89\frac{3}{4}\) points.

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The sample is not approximately normal because (50) (0.02) is not equal to or greater than 10.

The conditions for performing a significance test using a z-statistic require a sample size large enough to satisfy the Central Limit Theorem, which means that the sample should be approximately normal. In this case, the expected number of adults who own a motorcycle in the sample is only 1, which is less than the threshold of 10 needed for approximate normality. Therefore, the sample distribution is not normal, and a z-statistic cannot be used for hypothesis testing. The other conditions, such as random sampling and independence, are not relevant to this particular issue.

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Complete question:

The proportion of American adults who own a motorcycle is 2%. Samip believes the proportion of adults who own a motorcycle in his hometown is even lower. He randomly surveys 50 adults from his hometown and finds that 3 of them own a motorcycle. Identify why the sample in this situation does not meet all three conditions to perform a significance test using a z-statistic

The sample is not large enough because (50) (1-0.02) is not equal to or greater than 10.

The sample was not randomly selected.

The sample does not have independence.

The sample is not approximately normal because (50) (0.02) is not equal to or greater than 10.

Given:

The angle P = (5x -8) degree and angle R = (4x + 2) degree

Required:

Find the value of × in the parallelogram.

Explanation:

We know the opposite angle of parallelogram equal and

Answer:

So, answered the question.

Answer:

820

Step-by-step explanation:

100j+40h

100(5)+40(8)

500+320

820!