According to a recent U. S. Bureau of Labor Statistics report, the proportion of married couples with children in which


both parents work outside the home is 59%. You select an SRS of 50 married couples with children and let p_hat =


the sample proportion of couples in which both parents work outside the home.


Using mean of 0. 59 and sd of 0. 0696, calculate the probability that in an SRS of 50 married couples, the proportion


of married couples in which both parents work outside the home is at least 70%.

The question provides that the blades of a ceiling fan rotate around a fixed axis and begin to rotate with a constant angular acceleration such that they are rotating at 10 revolutions per second after a certain period of time.

After 60 turns, the fan will be rotating at 15 revolutions per second.

Solution:The given data is:Initial angular speed, ω₁ = 0 (since they start from rest)

Final angular speed, ω₂ = 15 revolutions/sec

Angular acceleration, α = constant

Number of revolutions for the first part, n₁ = 60

Number of revolutions for the second part, n₂ = (total revolutions) - (n₁) = (60 + 10) - 60 = 10 revolutions

Using the formula for the angular velocity, ω = ω₀ + αt

and the formula for the number of revolutions, n = ωt / 2π

We can find out the time required to reach a final speed of 15 rev/s as follows:15 = 0 + αt ⇒ t = 15 / α

The total time required to reach a speed of 15 rev/s would be the sum of the time required to reach a speed of 10 rev/s and the time required to reach 15 rev/s.t = t₁ + t₂ ⇒ t₂ = t - t₁

We can find the value of t₁ from the formula for the number of revolutions during the first part of the motion as follows:n₁ = ω₁t₁ / 2π0 = αt₁² / 2 + ω₁t₁ / 2π ⇒ t₁ = 0

Using the formula for the number of revolutions, we can find the value of t₂ as follows:n₂ = (ω₁t₂ + 1/2 αt₂²) / 2π ⇒ t₂ = 20/α

The value of α can be found by equating the two formulas for t₂ obtained above:

20/α = 15 / α + t₁⇒ α = 100 / 3 rad/s²

We can now substitute this value in the formulas for t and t₂ to find the times required to reach speeds of 10 and 15 rev/s respectively.t₁ = 0 s, t₂ = 60 / 3 = 20 s

Answer: The time required for the blades of the ceiling fan to rotate with a constant angular acceleration before rotating at 10 revolutions per second is 0 seconds and the time required to reach a speed of 15 revolutions per second is 20 seconds.

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Answer:

I believe it's A

Step-by-step explanation:

Based on the above, the length of the arch should be approximately 7.85 meters.

To know the length of the arch, one need to calculate the circumference of the semicircle.

The circumference of a full circle is: C = 2πr

Note that the semicircle is (180°), so one need to divide the circumference by 2 to get the length of the arch:

Length of the arch = C/2 = (2πr)/2 = πr

Given the radius (r) of 2.5m, one need to substitute the value into the formula:

Length of the arch = π × 2.5

= 3.14 × 2.5

=7.85 meters

Therefore, the architect should build the arch with a length of about 7.85 meters.

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See text below

An architect designs the main arch of the nave of a church in the shape of a semicircle (180°), with a radius of 2.5m. How long should that arch be built?

It is not valid to use the Multiplication Rule to estimate the probability of both siblings having blue eyes because it assumes independence between the occurrences, which does not hold true when considering eye color in siblings.

Using the Multiplication Rule in this case is not appropriate because it assumes that the occurrence of blue eyes in siblings is independent. However, in reality, the occurrence of eye color in siblings is influenced by genetic factors, which means that the probability of having blue eyes is not entirely independent for each sibling.

The Multiplication Rule is commonly used when dealing with independent events, where the outcome of one event does not affect the outcome of another. For example, flipping two coins is an independent event, as the outcome of the first coin flip does not impact the outcome of the second flip.

However, when considering eye color in siblings, the occurrence of blue eyes is influenced by shared genetic factors. The probability of having blue eyes is affected by the eye color genes inherited from parents, making it a dependent event. Siblings share a portion of their genetic makeup, increasing the likelihood of having similar eye colors.

To calculate the probability of both siblings having blue eyes, it would be more appropriate to consider conditional probability, taking into account the family's eye color history and genetic factors.

Therefore, in this case, it is not valid to use the Multiplication Rule to estimate the probability of both siblings having blue eyes because it assumes independence between the occurrences, which does not hold true when considering eye color in siblings.

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An engineer is designing a storage compartment in an aircraft. The compartment's volume is 72 cubic meters. The width is 2 meters longer than the length. The height is 1 meter less than the length. the dimensions of the compartment are 4m × 6m × 3m.

Find the dimensions of the compartment. Solution:The volume of a rectangular prism is given by;[tex]`V= l × w × h`[/tex] Given that the compartment's volume is 72 cubic meters, let's substitute[tex]`V = 72`[/tex]

cubic meters;[tex]`l × w × h = 72`[/tex]

We also know that;[tex]w = l + 2h = l - 1[/tex]

Substituting w and h in terms of l, we get;[tex]`l(l+2)(l-1) = 72`[/tex]Expanding,

we get;[tex]`l(l²-1) + 2(l²-1) = 72`[/tex]

Simplifying, we get;[tex]`l³ + l² - 2l - 74 = 0`[/tex]

We will use trial and error method to find one of the roots,`l= 4`.

By substitution, we get;[tex]w = 4 + 2 = 6m h = 4 - 1 = 3m[/tex]

Thus, the compartment dimensions are 4m × 6m × 3m. The width is 6 meters, the length is 4 meters, and the height is 3 meters.

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The function h(x) is defined as shown below:

[tex]$$h(x) = \begin{cases} x+2, & \text{if }x <3 \\ -x+8, & \text{if }x\ge3 \end{cases}$$[/tex]

So, option A is the correct answer.

To find the range of h(x), we will analyze the value of h(x) at different values of x. We will start with values less than 3 and then move to values greater than or equal to 3.

Case 1: x < 3 For values of x less than 3, h(x) is given by:

h(x) = x + 2

For minimum value of x (approaching negative infinity), h(x) approaches negative infinity.

For maximum value of x (approaching 3 from left), h(x) approaches 5. So, the range of h(x) for x < 3 is:

-∞ < h(x) <5 Case 2: x ≥ 3

For values of x greater than or equal to 3, h(x) is given by:

h(x) = -x + 8

For minimum value of x (approaching 3 from right), h(x) approaches 5.

For maximum value of x (approaching infinity), h(x) approaches negative infinity.

So, the range of h(x) for x ≥ 3 is: 5 ≤h(x) <∞

Therefore, the range of h(x) is: -∞ < h(x) < ∞

This is equivalent to option A. So, option A is the correct answer.

Note: When the range of a function is the set of all real numbers, we can also represent it as "(-∞, ∞)" or "ℝ".

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Answer:

  27

Step-by-step explanation:

You want to know the ACT composite test score for the 87.49th percentile, given the ACT scores have a mean of 21.0 and a standard deviation of 5.2.

The Z-table in the first attachment shows you the Z-value of the 87.49th percentile is 1.10+0.05 = 1.15.

The corresponding score is ...

  X = μ +σZ

  X = 21.0 +5.2·1.15 ≈ 27

A learner must earn a score of 27 to be at the 87.49th percentile on the ACT composite test.

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In a fraction, the common denominator refers to the lowest common multiple of the denominators of the fractions. If you use the common multiple from part A as the common denominator, the models in the example will be different and at the same time the same.

A common multiple is the product of two or more factors that are common. In other words, it is a number that is a multiple of two or more integers.

Let's take an example of finding the common multiple of 6 and 8:

The multiples of 6 are: 6, 12, 18, 24, 30, 36, 42, 48, ...

The multiples of 8 are: 8, 16, 24, 32, 40, 48, ...

Therefore, the common multiples of 6 and 8 are: 24, 48, 72, 96, 120, 144, ...

The models would be different because the common denominator is the lowest common multiple of the denominators of the fractions. If we use the common multiple as the denominator, the size of the models may change.

Let's take an example:

Suppose we have two fractions, 1/2 and 2/3. The denominators are 2 and 3. The common multiple is 6.

If we use 6 as the common denominator, the fractions become:

1/2 = 3/6 (we multiplied the numerator and denominator by 3)

2/3 = 4/6 (we multiplied the numerator and denominator by 2)

The models would be different because the sizes are based on the denominators of the fractions. If we change the denominator, the size of the model may also change.

The models would be the same because they represent the same fractions.

Even though the size of the model may change, the fractions still represent the same value.

In the above example, 1/2 and 3/6 represent the same value, and 2/3 and 4/6 represent the same value.

Therefore, the models are still representing the same value even though they may be different in size.

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The tree is approximately 10.3 meters tall. The distance between Karla's shadow and the tree's shadow is 6.2 meters.

Let's use similar triangles to solve this problem. We have two triangles: one formed by Karla, her shadow, and the distance between her and the tree; and the other formed by the tree, its shadow, and the distance between the tree and Karla.

Let's call the height of the tree "h." According to the given information, Karla's height is 1.6 meters, and the distance between Karla and the tree is 13.5 meters.

Using the concept of similar triangles, we can set up the following proportion:

h/1.6 = (h + 6.2)/(13.5)

Cross-multiplying and solving for "h," we get:

13.5h = 1.6(h + 6.2)

13.5h = 1.6h + 9.92

11.9h = 9.92

h ≈ 9.92/11.9

h ≈ 0.8336

Rounding to the nearest 0.1 meter, the height of the tree is approximately 10.3 meters.

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To find out how many children and how many adults attended the event, we can set up a system of equations based on the given information.

Let's use the variables c and a to represent the number of children and adults, respectively. The total number of people who attended the event is 100, and the total amount collected at the door is $626. Each child ticket costs $5, and each adult ticket costs $8. By setting up and solving a system of equations, we can determine the values of c and a.

Let c represent the number of children and a represent the number of adults who attended the event. We can set up the following system of equations based on the given information:

Equation 1: c + a = 100 (total number of people who attended the event)

Equation 2: 5c + 8a = 626 (total amount collected at the door)

We can solve this system of equations using various methods such as substitution, elimination, or matrix methods. Here, we'll solve it using the substitution method.

From Equation 1, we have c = 100 - a. Substitute this value into Equation 2:

5(100 - a) + 8a = 626

500 - 5a + 8a = 626

3a = 126

a = 42

Substitute the value of a into Equation 1:

c + 42 = 100

c = 58

Therefore, 58 children and 42 adults attended the event.

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To calculate a 15% tip for a restaurant bill of $42.40, we multiply the bill amount by 0.15 to find the tip amount. The result will provide the tip amount, which can be added to the bill to get the total amount to pay. Therefore, a 15% tip for a restaurant bill of $42.40 is $6.36.

To calculate a 15% tip, we take 15% of the bill amount. The tip amount is found by multiplying the bill amount by the decimal equivalent of 15%, which is 0.15.

Given the restaurant bill of $42.40, we can find the tip amount by performing the calculation: $42.40 * 0.15 = $6.36.

Therefore, a 15% tip for a restaurant bill of $42.40 is $6.36.

To check if the answer is reasonable, we can consider the percentage amount and the total bill. A 15% tip is generally considered an average or moderate tip amount. Given the bill of $42.40, a tip of $6.36 seems reasonable in relation to the bill total.

However, tipping customs may vary in different regions or based on personal preferences. It is always advisable to consider the overall service quality and local tipping practices when determining an appropriate tip amount.

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To answer this question, we must be familiar with the relationship between a major and minor arc in a circle.

In a circle, if the measure of the major arc is known, the measurement of the minor arc can be found by subtracting the major arc from 360°.For example, given a major arc measuring 218°, the minor arc would be 360° - 218°.

Therefore, the measurement of the minor arc would be 142°.Hence, the correct option is A) 142 degrees.

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On the number line ranging from negative 1 fourth to positive 3 fourths, labeled in increments of 1 fourth, three points are labeled: A, B, and C.

Points A and B are positioned between 0 fourths and 1 fourth, while point C falls between 1 fourth and 2 fourths.

The corresponding labels for each point are as follows: Point A corresponds to the number negative 1 fourth, Point B corresponds to the number zero, and Point C corresponds to the number positive 1 fourth.

To match the points on the number line with their respective labels, we examine their positions relative to the increments of 1 fourth on the number line.

Since point A is between 0 fourths and 1 fourth, it is positioned to the left of zero. Therefore, the corresponding number for Point A is negative 1 fourth.

Point B is between 0 fourths and 1 fourth, suggesting it is positioned directly on zero. Thus, the number for Point B is zero.

Point C is positioned between 1 fourth and 2 fourths, which implies it is located to the right of zero. Hence, the corresponding number for Point C is positive 1 fourth.

Therefore, the correct matching of points A, B, and C with their respective numbers on the number line is as follows: Point A corresponds to negative 1 fourth, Point B corresponds to zero, and Point C corresponds to positive 1 fourth.

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The distance formula can be used to calculate the distance from Francesca's house to the beach by considering the coordinates of the two locations and applying the formula, which involves finding the difference between the x-coordinates and the y-coordinates, and then using the Pythagorean theorem.

To find the distance from Francesca's house to the beach using the distance formula, we need to consider the coordinates of both locations. Let's assume Francesca's house has coordinates (x1, y1) and the beach has coordinates (x2, y2). The distance formula is derived from the Pythagorean theorem and states that the distance between two points in a coordinate plane is given by √((x2 - x1)² + (y2 - y1)²).

To apply the distance formula, we substitute the coordinates of Francesca's house and the beach into the formula.

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a) The radian measure is 5π radians.

b) The radian measure is (3πr)/2 radians.

To determine the radian measure corresponding to a certain number of orbits in a circular orbit, we need to know the circumference of the orbit.

The circumference of a circle is given by the formula C = 2πr, where C represents the circumference and r represents the radius.

Let's assume the radius of the circular orbit is denoted by "r."

(a) To find the radian measure for 2.5 orbits:

The total angle covered in 2.5 orbits is equivalent to 2.5 times the full circumference of the orbit.

Angle = 2.5 * (2πr) = 5πr

Therefore, the radian measure corresponding to 2.5 orbits is 5π radians.

(b) To find the radian measure for 3/2 orbit:

The total angle covered in 3/2 of an orbit is equivalent to (3/2) times the full circumference of the orbit.

Angle = (3/2) * (2πr) = 3πr/2

Therefore, the radian measure corresponding to 3/2 of an orbit is (3πr)/2 radians.

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As the number of years since 2010 increases, the average home prices in both Middletown and Kent increase, but the difference between the average prices remains constant at $114,821.

Based on the information provided, we have two neighboring towns, Middletown and Kent, and their average home prices for 5 years since 2010. It is stated that the average price of houses in Middletown in 2010 was $114,821 more than the average price of houses in Kent in 2010.

To analyze the trend in average home prices, we can compare the average prices for each year in both towns. Let's denote the average home prices in Middletown as M and in Kent as K.

From the given information, we know that in the year 2010, M - K = $114,821.

Now, let's examine the trend as the number of years since 2010 increases. If the difference between the average prices remains constant at $114,821, it suggests that both towns experience a proportional increase in average home prices over time.

For example, if we consider the year 2011, the average price in Middletown would be M + x (where x represents the increase in average price), and the average price in Kent would be K + x. The difference between these two averages would still be $114,821.

This pattern continues for subsequent years, indicating that as the number of years since 2010 increases, the average home prices in both Middletown and Kent increase proportionally while maintaining a constant difference of $114,821. In summary, the trend observed is that the average home prices in both towns increase over time, but the difference between the average prices remains constant at $114,821.

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To find approximately how many seconds the rock took to reach the ground, we need to determine when the height, h(t), becomes zero.

Setting h(t) = 0 in the equation -4.9t^2 + 49 = 0, we can solve for t.

-4.9t^2 + 49 = 0

4.9t^2 = 49

t^2 = 49 / 4.9

t^2 = 10

t ≈ √10

Therefore, the rock took approximately √10 seconds to reach the ground.

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Average seawater salinity = 3.5%100g of salt has been left after seawater has evaporatedThe mass of salt dissolved in 100g of seawater will be 3.5g (since salinity is 3.5%)Let x be the mass of seawater that needs to be evaporated to leave 100g of salt.

According to the law of conservation of mass,Mass of salt in the solution before = Mass of salt in the solution afterTherefore, 100g of salt that has been left after evaporation was originally dissolved in x grams of seawater.

Therefore, the mass of salt in that seawater would have been 3.5% of x.Using the above information, we can write an equation as follows:0.035x = 100g Therefore, about 2857.14 g or 2.85714 kg of seawater needs to have evaporated to leave 100 g of salt.

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Pencils of Brand B is better to buy .

Given,

Brand A = 28 pencils for $4. 19

Brand B = 72 pencils for$9.12

Now,

Firstly for Brand A,

Total pack = 28 pencils

Price = $4.19

Hence ,

Price of one pencil = $4.19/28

Price of one pencil  = $0.14

Secondly for Brand B,

Total pack = 72 pencils

Price = $9.12

Hence ,

Price of one pencil = $9.12/72

Price of one pencil  = $0.126

Thus charlie should buy pencils from brand B.

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The solution to the equation start fraction lower t over 6 end fraction = 12 is lower t = 72. And, to check the solution we have substituted the value we got for lower t in the original equation and verified if it satisfies the equation or not.

The given equation is,start fraction lower t over 6 end fraction = 12To solve for the equation we have to first, cross-multiply both sides of the equation with 6. This will help us to get rid of the fraction.start fraction lower t over 6 end fraction = 12. Multiplying both sides by 6:lower t = 72The solution for the given equation is, lower t = 72.Now, we have to check whether the solution we found is correct or not. We can do this by substituting the value we got for lower t in the original equation.start fraction lower t over 6 end fraction = 12Putting the value of lower t, we get:start fraction 72 over 6 end fraction = 12. Simplifying this, we get:12 = 12.The value of lower t we found satisfied the original equation, therefore the solution is correct.

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In the given scenario, a circle with a radius of 4 cm is depicted. Two radii with a length of 4 cm are drawn, forming a central angle of 90°. A chord is drawn between the radii, creating a triangle inside the sector. The area of the sector is π cm^2, the area of the triangle is [missing value] cm^2, and the area of the shaded segment is (4π − [missing value]) cm^2.

To determine the missing values, we need additional information. The area of the triangle inside the sector can be calculated using the formula:

Area of triangle = 1/2 * base * height.

The base of the triangle is the length of the chord, which can be calculated using the Pythagorean theorem since the triangle is a right triangle with two sides of length 4 cm.

Once we have the length of the chord and the height of the triangle, we can substitute these values into the area formula to find the missing value.

Similarly, to calculate the area of the shaded segment, we need the length of the chord. Subtracting the area of the triangle from the area of the sector will give us the area of the segment.

Without the specific values of the chord length and the height of the triangle, we cannot provide the exact areas of the triangle and the shaded segment.

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The division expression is 7 divided into 3 which can be represented in unit form as follows; 7 ÷ 3 = 2 R1, this means that 7 divided by 3 equals 2, with a remainder of 1.

The remainder is the value left after an integer has been divided by a divisor, such as the number left over after a long division of 7 ÷ 3. Therefore, the value of circle plus circle is given by the formula: $$\text{Circle plus Circle} = πr_1^2 + πr_2^2$$ where r1 and r2 are the radii of the two circles respectively. If the values of the radii are provided, then we can substitute them in the above formula to find the value of circle plus circle.

The area of a circle is given by the formula A = πr² where A is the area of the circle and r is the radius. Therefore, the formula for the value of circle plus circle is given by Circle plus Circle = πr1² + πr2² where r1 and r2 are the radii of the two circles respectively. As we already know that a circle is a geometric figure having no end. It has many properties. One of its properties is that its area can be measured. When we talk about the area of a circle, we are referring to the region enclosed by it. The area of a circle is given by the formula: A = πr², where A is the area of the circle and r is its radius. The symbol π represents the constant pi, which is approximately equal to 3.14. Therefore, the area of a circle is proportional to the square of its radius. If we have two circles with radii r1 and r2, then the area of the first circle is given by A1 = πr1², and the area of the second circle is given by A2 = πr2².

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The return on assets (ROA) for Harley-Davidson, Inc. in 2016 can be calculated using the given information.

Return on assets (ROA) is a financial ratio that measures a company's profitability by comparing its net income to its total assets. It indicates how efficiently a company is utilizing its assets to generate profit. The formula for ROA is: ROA = Net Income / Total Assets. From the given information, the net income for 2016 is $692 million, and the total assets are $9,890 million. Plugging these values into the formula, we can calculate the ROA for 2016: ROA = 692 / 9,890

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Given the information provided, we need to determine the length of the bridge (a) and the distance between the two people.

The person at point Q is 30 meters away from the bridge, and the angle between the bridge and the line of sight from P to Q is 70.9 degrees.

To solve this problem, we can use trigonometry. We can consider the triangle formed by the bridge, point P, and point Q. The angle at point P is 70.9 degrees, and the side opposite to this angle is the length of the bridge (a). The side adjacent to this angle is the distance between the two people.

Using trigonometric functions, we can set up the following equation:

tan(70.9 degrees) = a / 30 meters

By rearranging the equation, we can solve for a:

a = 30 meters * tan(70.9 degrees)

This gives us the length of the bridge.

To find the distance between the two people, we can use the Pythagorean theorem. The distance between the two people is the hypotenuse of the triangle formed by the bridge, point P, and point Q. Using the length of the bridge (a) and the distance from point Q to the bridge (30 meters), we can calculate the distance between the two people using the equation:

Distance = sqrt(a^2 + 30^2)

By substituting the value of a, we can calculate the final answer for the distance between the two people, rounding to two decimal places if necessary.

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Over a period of 10 years, if Leo saves 8% of his $65,000 salary annually, with a 4.6% company match and a 5.32% interest rate, he would have approximately $104,564.67 saved. Hence, the correct answer is option B.

To calculate the amount Leo would have saved in 10 years, we need to consider his annual contribution, the company match, and the interest earned on his 401(k) savings. First, we determine Leo's annual contribution by multiplying his salary ($65,000) by 8% (0.08), which gives us $5,200 per year.

Next, we calculate the company match by multiplying Leo's annual contribution by the matching percentage (4.6% or 0.046). The company match would be $5,200 multiplied by 0.046, resulting in $239.20 per year.

Now, we need to calculate the interest earned on his savings. To do this, we take the sum of Leo's annual contribution ($5,200) and the company match ($239.20), and multiply it by the interest rate (5.32% or 0.0532). This gives us an interest of approximately $286.93 per year.

Finally, to find the total savings after 10 years, we add up the annual contributions, the company match, and the interest earned. Multiplying the sum of $5,200 + $239.20 + $286.93 by 10 years gives us approximately $104,564.67, rounded to the nearest cent.

Therefore, the correct answer is option B, $104,564.67.

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The given options are 1.7 cm, 71, 21, 1.7 cm, 2.2 cm, 4.3 cm, 53, 377, 2.1 cm, 42, 3.2 cm, 3.8 cm, 3.6 cm, 2.9 cm, 2.5 cm, 34, and 8 cm.

The summary of the answer is that the length of the side is 2.2 cm.

In trigonometry, it is common to use the concept of a right triangle to relate the lengths of its sides with the trigonometric functions. However, without additional context or information about the triangle or the specific problem, it is not possible to determine the length of the side accurately.

Among the given options, the length of the side closest to 2.2 cm is 2.2 cm itself. Therefore, based on the options provided, we can conclude that the length of the side is 2.2 cm. However, it is important to note that without further information or context, this is an assumption based solely on the given options and may not be the correct answer in a different context or problem.

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The simplified expression for the area of the shape is 8x square units.

In the given figure of rectangle,

Given that,

Length of rectangle = 2x

And width of rectangle = 4

Since we know that,

Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.

We also know that,

Area of rectangle = length x width

                             = (2x)(4)

                             = 8x

Hence expression of area = 8x square units.

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The complete question is attached below:

During meiosis, the number of chromosomes in each nucleus is reduced by half. Meiosis consists of two divisions: meiosis I and meiosis II. In meiosis I, the chromosome pairs separate, resulting in two cells with half the number of chromosomes as the original cell. I

n meiosis II, each of these cells further divides, resulting in a total of four cells.

Given that a garden pea has 14 chromosomes before meiosis, after meiosis I, each nucleus would contain 7 chromosomes. Then, in meiosis II, these cells undergo further division, resulting in four cells with the same number of chromosomes as after meiosis I, which is 7 chromosomes each.

Therefore, the answer is (a) 7 chromosomes.

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The equation which (4, 3)  is a solution is y = 2x - 5

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

Solution = (4, 3)

This means that

x = 4 and y = 3

Next, we test the options

y = x³

3 = 4³ ---- false

y = 3x - 4

3 = 3 * 4 - 3 ---- false

y = 2x - 5

3 = 2 * 4 - 5 ---- true

Hence, the equation which (4, 3)  is a solution is y = 2x - 5

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