How many weeks will it take you to earn $3,437.50, if you work 25 hours
per week and make $12.50 per hour?

Given statement solution is :- The correlation between variable x and variable y is represented by "rxy".

Correlation is Positive when the values increase together, and; Correlation is Negative when one value decreases as the other increases.

There are three basic types of correlation: positive correlation: the two variables change in the same direction. negative correlation: the two variables change in opposite directions. no correlation: there is no association or relevant relationship between the two variables.

A basic example of positive correlation is height and weight—taller people tend to be heavier, and vice versa. In some cases, positive correlation exists because one variable influences the other. In other cases, the two variables are independent from one another and are influenced by a third variable.

The correlation between variable x and variable y is represented by "rxy".

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The other diagonal is $70 long.

Given:

Rhombus $abcd$ has perimeter $148$, and one of its diagonals has length $24$.

P = 148 and d = 24

Area \(= 1/4 d \sqrt{P^2-4d^2}\)

= 1/4(24)\(\sqrt{148^2 - 4*24^2}\)

= 6 \(\sqrt{21904-4*576}\)

= 6*\(\sqrt{21904-2304}\)

= 6*\(\sqrt{19600}\)

= 6*140

= 840

Area = d*d1 / 2

840 = 24 * d1 / 2

840 * 2 = 24 * d1

1680/24 = d1

d1 = $70

Therefore The other diagonal is $70 long.

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Answer:

70

Step-by-step explanation:

The four sides of a rhombus all have equal length, so if the perimeter is 148, then each side has length 148/4 = 37. Also, the diagonals of a rhombus bisect each other at right angles, so the diagonal of length 24 is cut into two pieces of length 12. We can show this information in a diagram (shown below.)

Applying the Pythagorean Theorem to any of the four right triangles in our diagram, we have

12² + x² = 37².

Solving this equation for positive x, we get x = √37² - 12² = √1369 - 144 = √1225 = 35. The length of the long diagonal is x + x = 70.

The proof fails to demonstrate that there is an integer k such that n < k < n+2.

The proof you provided is incorrect. Let's analyze the statement and the proof:

Statement: For every integer n, there is an integer k such that n < k < n+2.

Proof (incorrect):

Suppose n is an arbitrary integer.

Therefore, k = n + 1.

The error in the proof lies in step 2. While it is true that k = n + 1 is an integer, it does not necessarily satisfy the condition that n < k < n+2. In fact, if we substitute k = n + 1 into the inequality, we get:

n < n + 1 < n + 2

This simplifies to:

n < n + 1 < n + 2

The inequality is not satisfied since n + 1 is not guaranteed to be less than n + 2. Therefore, the proof fails to demonstrate that there is an integer k such that n < k < n+2.

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124+124=248 360-248=112 112\2=56

Answer: its 56 i took the quiz

Step-by-step explanation:

Answer:

The equation for this sequence will be 8 + 17n - 17 with n being replaced with the term number you are trying to find.

so 8 + 17(16) - 17

17 x 16= 272

8 + 272= 280

280- 17= 263

Thus, the 16th term will be 263.

Answer:

16ᵗʰ Term of the sequence is 263

Step-by-step explanation:

Here,

First Term = a₁ = 8

Second Term = a₂ = 25

Third Term = a₃ = 42

Now,

Common Difference (d)

d = a₂ - a₁ = 25 - 8 = 17

d = a₃ - a₂ = 42 - 25 = 17

Here, Common Difference is same everywhere

Now, For 16ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₁₆ = 8 + (16 - 1) × 17

a₁₆ = 8 + 15 × 17

a₁₆ = 8 + 255

a₁₆ = 263

Thus, 16ᵗʰ Term of the sequence is 263

-TheUnknownScientist

The total fluid force exerted on each vertically oriented porthole with a 3 ft diameter and a center located 50 ft underwater is approximately 28,274 pounds. The fluid force on a horizontally oriented porthole under 50 ft of water is also approximately 28,274 pounds.

The pressure at a given depth in a fluid is given by the equation P = ρgh, where P is the pressure, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the depth.

In this case, the depth of the vertically oriented porthole is 50 ft. We assume the density of water to be approximately 62.4 pounds per cubic foot, and the acceleration due to gravity is approximately 32.2 ft/s². Plugging these values into the equation, we can calculate the pressure at the depth of the porthole:

P = (62.4 lb/ft³) * (32.2 ft/s²) * (50 ft) = 100,080 lb/ft²

To find the fluid force exerted on the porthole, we need to multiply the pressure by the area of the porthole. The area of circle is given by the formula A = πr², where r is the radius of the circle. In this case, the radius is half the diameter, which is 1.5 ft. Thus, the area of the porthole is:

A = π * (1.5 ft)² = 7.07 ft²

Now, we can calculate the fluid force:

Fluid Force = Pressure * Area = 100,080 lb/ft² * 7.07 ft² ≈ 28,274 lb

Therefore, the total fluid force exerted on each vertically oriented porthole is approximately 28,274 pounds.

For the horizontally oriented porthole under 50 ft of water, the fluid force would be the same as the vertically oriented porthole.  Hence, the fluid force on the horizontally oriented porthole is also approximately 28,274 pounds.

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The integer that matches the situation I go for a hike in Colorado. The top of the mountain is feet above sea level is 14000.

A number system is defined as a system of writing to express numbers.

Given,

I go for a hike in Colorado. The top of the mountain is ___ feet above sea level.

We need to find the suitable integer in the blank.

The top of a mountain would be a high number above sea level, 144 is around ground level above sea level therefore the top of the mountain would be 14,000 feet above sea level

Hence, the integer that matches the situation I go for a hike in Colorado. The top of the mountain is feet above sea level is 14000.

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Answer:

Step-by-step explanation:

-5x - 4 = 1

-5x - 4 = 1

-5x = 5

x = -1

The model will be as follows: y = b0 + b1x1 + b2x2 + u

To write a model that allows the variance of u to differ between men and women, the best option is to use the heteroscedasticity model. This model will enable the variances to differ between the genders without depending on other factors.

The model will be as follows: y = b0 + b1x1 + b2x2 + u, Where y = dependent variable, b0 = constant or intercept, b1 and b2 are the coefficients for the independent variables x1 and x2, u = error term for the model. However, this model does not allow the variance of u to differ between men and women.

To achieve this, we need to modify the model to allow the variance of u to differ between men and women. This can be done by using the weighted regression model. The model will be as follows: y = b0 + b1x1 + b2x2 + u, where y = dependent variable, b0 = constant or intercept, b1 and b2 are the coefficients for the independent variables x1 and x2, u = error term for the model.

The weights can be represented as: wi = 1/σ^2i, where: wi = weight for observation, iσi = standard deviation of the ith observation. This model will allow the variance of u to differ between men and women without depending on other factors.

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Answer: 15 - 6i

Step-by-step explanation:

3(5-2i)

3×5+3×(−2i)

Do the multiplications.

15−6i

To determine where f is increasing or decreasing, we need to apply the following rules:

The function is increasing when:

And the function is decreasing when:

In this interval f(b) is lower than f(a): f(b)The second interval is (0,4).

In this interval f(b) is greater than f(a), then f

Answers:

B:

1. 2

2. 3

3. 1

4. 4

5. 2

C (Leading term):

1. 3x

2. x^4

3. 7

4. x^2

5. 2x^2

C (Degress of the Polynomial):

1. 1

2. 4

3. 0

4. 2

5. 2

The empirical rule in a normal distribution states that 99.7%  of the data falls within three standard deviations of the mean. Hence, option D is the correct option.

The empirical rule in a normal distribution is also referred to as the three-sigma rule or 68-95-99.7 rule. It is a rule in statistics that tells us that for a normal distribution, all of the observed data fall within the three standard deviations of the mean (denoted by σ) or within the average (denoted by µ).

According to this rule, 68% of the observations fall under the first standard deviation (µ ± σ), and 95% within the first two standard deviations (µ ± 2σ). In addition to this, 99.7%  of the data falls within three standard deviations of the mean. Hence, we know that option D is the correct option.

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Answer:

k = x*y

Step-by-step explanation:

The result of the multiplication for every number in the table is always the same. For example: 15*1 = 15, 5*3 = 15

In a right-angled triangle, the sine of an angle is calculated by the formula : opposite/hypotenuse.

-> sin(25) = 1500/x
-> x = 1500/sin(25) = 3549.3023747... (rounds to 3549)

Therefore, the distance x equals 3549 ft.

The mood of the categorical syllogism in example 2 is AIO.

In your example, we have the following premises and conclusion:

1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.

The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).

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For the value h = -1, the vector y = [4,-1,-1] is in the plane spanned by v1 and v2.

To determine whether y is in the plane spanned by v1 and v2, we need to check if y can be expressed as a linear combination of v1 and v2.

Let's set up an equation using the vectors v1, v2, and y:

y = av1 + bv2,

where a and b are scalar coefficients to be determined.

Substituting the given values of v1, v2, and y, we have:

[4,-1,h] = a[1,2,-1] + b[-2,-1,1].

Expanding the right side of the equation, we get:

[4,-1,h] = [a,2a,-a] + [-2b,-b,b].

Combining like terms, we obtain:

[4,-1,h] = [a-2b,2a-b,-a+b].

Now, we can set up a system of equations by comparing the corresponding components:

a - 2b = 4,     (1)

2a - b = -1,    (2)

-a + b = h.     (3)

We can solve this system to find the values of a, b, and h.

From equation (2), we can solve for a in terms of b:

2a = b - 1,

a = (b - 1)/2.

Substituting this expression for a into equation (1), we have:

(b - 1)/2 - 2b = 4,

b - 1 - 4b = 8,

-3b = 9,

b = -3.

Substituting the value of b = -3 into equation (2), we find:

2a - (-3) = -1,

2a + 3 = -1,

2a = -4,

a = -2.

Finally, substituting the values of a = -2 and b = -3 into equation (3), we get:

-(-2) + (-3) = h,

2 - 3 = h,

h = -1.

Therefore, for h = -1, the vector y = [4,-1,-1] is in the plane spanned by v1 and v2.

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Answer:

Q1) x = 17    ||     Q2) x = 21

Step-by-step explanation:

Q1. \(\frac{x-2}{3} =5\)

\(x-2 = 5*3\)

\(x-2=15\)

\(x=15+2\)

\(x=17\)

Q2. \(\frac{x}{3} -2= 5\)

\(\frac{x}{3}=5+2\)

\(\frac{x}{3} =7\)

\(x=3*7\)

\(x=21\)

lol same tbh even tho ion  have netflix anymore

Answer:

Its the second one

Step-by-step explanation:

Answer:

Cumulative Frequency:

The sum of all the frequencies for all classes is equal to the number of elements in the given data and that summation is termed as the cumulative frequency which defines the number of entries of that statistical data.

The sum of relative frequencies is also equal to one, since the sum of all fractional parts must equal the whole.

Step-by-step explanation:

The measure of a central angle of a regular polygon with 24 sides is 15°. There is no need to round the answer as it is already in whole degrees.

The measure of a central angle of a regular polygon with 24 sides. A central angle is formed by two radii drawn from the center of the polygon to two consecutive vertices. In a regular polygon, all the sides and angles are equal.

To find the measure of a central angle, you can use the formula: Central Angle = (360°) / (Number of Sides) In this case, the regular polygon has 24 sides.

So the formula would be: Central Angle = (360°) / (24) Now, we can solve for the central angle: Central Angle = 15° So, the measure of a central angle in a regular polygon with 24 sides is 15 degrees. Since the result is already in whole degrees, there's no need to round it to the nearest tenth of a degree

To find the measure of a central angle of a regular polygon with 24 sides, you can use the formula:

Central angle = (360°) / (number of sides)

In this case, the number of sides is 24, so the formula becomes:

Central angle = (360°) / 24

Central angle = 15°

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An ellipse is a closed curve on a plane, that resembles an elongated circle. The formula for an ellipse is: (x-h)^2/a^2 + (y-k)^2/b^2 = 1

In this formula, if a = b, the ellipse is a circle. If a > b, the ellipse is elongated along the x-axis, and if b > a, the ellipse is elongated along the y-axis.

where (h, k) represents the center of the ellipse, and "a" and "b" represent the horizontal and vertical distances from the center to the edge of the ellipse, respectively.

To graph an ellipse, you can plot the center of the ellipse at the point (h, k), and draw the horizontal axis with length 2a and vertical axis with length 2b. You can then sketch the curve that passes through all points (x,y) that satisfy the equation.

It's also possible to rewrite the equation of an ellipse in terms of its standard form:

(x-h)^2/b^2 + (y-k)^2/a^2 = 1

where "a" and "b" are the same as before, but this time "a" represents the semi-major axis (the longest distance from the center to the edge of the ellipse) and "b" represents the semi-minor axis (the shortest distance from the center to the edge of the ellipse). The axes are interchanged because the larger denominator is associated with the longer axis.

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\(3\) and \(116^{\circ}\) are supplementary angles.

Therefore

\(m\angle 3+116^{\circ}=180^{\circ}\\m\angle 3=64^{\circ}\\\)

The 5-0-5 Agility Test is one of the most commonly recognised agility tests, despite its inability to actually measure agility. Instead, this is a change of direction speed test, which contrary to common belief, may not be capable of distinguishing between dominant and non-dominant leg performances.

Given:

A figure of a circle.

To find:

The value of x.

Solution:

Central angle theorem: According to this theorem, the central angle on an arc is twice of the subtended angle on that arc.

Using the central angle theorem, we get

\(x=2\times 35^\circ\)

\(x=70^\circ\)

Therefore, the value of x is 70 degrees.

Answer:

You will make cross multiplication.

So, we will make 5 x 8 =40, then we will divide 40 by 10 which is equal to 4.

Hope it helps:D

The simplified SOP form of the function F(A, B, C, D) is A'B'C'D' + ABCD.

The function F(A, B, C, D) is given in SOP form, which means that it is a sum of minterms. The minterms are 2, 5, 7, 8, 10, 12, 13, and 15.

We can use a K-map to reduce the function. A K-map is a graphical representation of a Boolean function. The minterms of the function are represented as squares on the K-map. If two minterms are adjacent on the K-map, then they can be combined into a product term.

The K-map for the function F(A, B, C, D) is shown below:

 A  B  C  D

  ---  ---  ---  ---

  0  0  0  0  2

  0  0  0  1  5

  0  0  1  0  7

  0  0  1  1  8

  0  1  0  0  10

  0  1  0  1  12

  0  1  1  0  13

  0  1  1  1  15

The adjacent minterms are 2, 5, 7, and 8. These can be combined into a product term, which is A'B'C'D'.

The other adjacent minterms are 10, 12, 13, and 15. These can be combined into a product term, which is ABCD.

Therefore, the simplified SOP form of the function F(A, B, C, D) is A'B'C'D' + ABCD.

Here is a table showing the steps involved in reducing the function using a K-map:

Step Action

1 Draw the K-map for the function.

2 Identify the adjacent minterms.

3 Combine the adjacent minterms into product terms.

4 Write the simplified SOP form of the function.

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Answer:

300

Step-by-step explanation:

375 divided by 5=75

Each “1”=75

4x75=300

There are 300 boys.

Hope this makes sense

Answer:

300 boys

Step-by-step explanation:

Let the number of boys = x

Girls: 375

boys : girls = 4 : 5

total in the ratio is 9

girls are 5/9 of total, and are 375

boys are 4/9 of total

5/9 x = 375

x = 375 × 9/5

x = 675

Boys are 4/9 of total.

4/9 × 675 = 300