Please help ASAP!!!!

The distance between the two points on the number line is given by equation A = 5/3 units

Let the two points be A ( x₁ , y₁ ) and B ( x₂ , y₂ )

The distance from A to B is the same as the distance from B to A

Distance between two points is the length of the line segment that connects the two points in a plane.

The formula to find the distance between the two points is usually given by D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

This formula is used to find the distance between any two points on a coordinate plane or x-y plane

Given data ,

Let the distance between the points on the line be A

Now , the equation will be

Let the first point be P ( -4/3 , 0 )

Let the second point be Q ( 1/3 , 0 )

Now , distance between the two points is usually given by

D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

Substituting the values in the equation , we get

D = √ [ ( 1/3 - ( -4/3 ) ] ²

On simplifying the equation , we get

D = √ ( 5/3 )²

D = 5/3 units

Hence , the distance is 5/3 units

To learn more about distance between 2 points click :

https://brainly.com/question/12661159

#SPJ1

The values of \(x\) are \(1+\sqrt{89}\) and \(1-\sqrt{89}\).

To find the values of x:

Given equation: \((x+7)(x-9)=25\)

Then: \(x(x-9)+7(x-9)=25\)

Using the distributive property: \(a.(b+c)=a.b+a.c\)

\(x^{2} -9x+7x-63=25\)

Combine like terms:

\(x^{2} -2x-63=25\)

Subtract 25 from both sides and obtain:

\(x^{2} -2x-88=0\)

Using completing square form:

Add and subtract \((\frac{2}{2} )^{2} =1\) we have:

\(x^{2} -2x-88+1-1=0\\(x-1)^{2} -89=0\)

Add 89 to both sides we have:

\((x-1)^{2} =89\)

Taking square roots on both sides, obtain:

\(x-1=\) ± \(\sqrt{89}\)

Add 1 to both sides we have:

\(x=1\)±\(\sqrt{89}\)

Therefore, the values of \(x\) are \(1+\sqrt{89}\) and \(1-\sqrt{89}\).

Know more about square roots here:

https://brainly.com/question/428672

#SPJ4

The complete question is given below:

Use completing the square to solve (x + 7)(x – 9) = 25 for x.

Answer:

Step-by-step explanation:

If your cake looks done outside but remains uncooked/gooey in the center, it means that its not completely cooked. Always insert a skewer in the center of the cake towards the finishing time to see if it comes out clean. If it doesn't then cook for few minutes more, and check after 5-10 minutes.

The probability of the number of occurrences per interval being exactly 4 is 0.0056 or approximately 0.56%. The correct answer choice from the given options is .0000, which is not the correct answer.

The probability of a Poisson distribution with an average of 2 occurrences per interval being exactly 4 can be calculated using the formula:

P(X=4) = (e^-λ * λ^x) / x!

where λ is the average number of occurrences per interval (2 in this case) and x is the number of occurrences we are interested in (4 in this case).

P(X=4) = (e^-2 * 2^4) / 4!

P(X=4) = (0.1353) / 24

P(X=4) = 0.0056

Learn more about Poisson distribution here:

brainly.com/question/17280826

#SPJ11

The diameter of a wire significantly impacts its strength, range, and stiffness.

1. Strength: As the diameter of a wire increases, its overall strength improves. A larger cross-sectional area allows the wire to withstand greater forces before breaking. This is because the increased material can distribute force more effectively, resulting in enhanced tensile strength.

2. Range: The diameter of a wire also influences its range or length. Thicker wires tend to have shorter range capabilities compared to thinner wires. As the diameter increases, the weight and stiffness of the wire rise as well, making it harder to extend or coil over long distances. Conversely, thinner wires are more flexible and lightweight, enabling them to cover greater lengths.

3. Stiffness: Lastly, the diameter of a wire impacts its stiffness, which is the resistance of the wire to bending or deformation. With a larger diameter, the stiffness of the wire increases due to the higher amount of material present. This means that it requires more force to bend or change the shape of the wire, resulting in greater rigidity. On the other hand, wires with smaller diameters are more pliable and can easily be bent or manipulated.

In summary, the diameter of a wire plays a crucial role in determining its strength, range, and stiffness. Thicker wires exhibit enhanced strength and stiffness but may have limited range capabilities, while thinner wires are more flexible and suitable for longer distances but may not be as strong or rigid.

To learn more about tensile strength : brainly.com/question/14368662

#SPJ11

The value of p(√3) is 9 - 4√3. So, the correct answer is option C.

The given function is p(m) = 2m² - 4m + 3. We need to find the value of p(√3).

To find this, we substitute m = √3 in the expression for p(m):

p(√3) = 2(√3)² - 4(√3) + 3

= 2(3) - 4(√3) + 3

= 6 - 4√3 + 3

= 9 - 4√3

Therefore, the value of p(√3) is 9 - 4√3. So, the correct answer is option C.

The number of men living in the village is 260.

A collection of many linear equations that include the same variables is referred to as a system of linear equations. A linear equation system is often composed of two or more linear equations with two or more variables.A linear equation with two variables, x and y, has the following general form:

                                           \(ax + by = c\)

Given:

Total inhabitants in the village: 817

Number of children: 241

There are 56 more women than men in the village

Total adults = Total inhabitants - Number of children

Total adults = 817 - 241

Total adults = 576

Let number of men in the village be 'x' and number of women in the village be 'y',

∴ y=x+56 (given) ..................(1)

Also, x+y=576 .................(2)

From equation (1) and (2),

x + (x + 56) = 576

2x + 56 = 576

2x = 576 - 56

2x = 520

x = 520 / 2

x = 260

Learn more about linear equations here:

brainly.com/question/29739212

#SPJ1

Answer:

(c-\(\frac{1}{5}\))(c+\(\frac{1}{5}\))

A 95% confidence interval for the proportion of people who favor the tax plan, rounding values to the nearest thousandth, is 292.

In order to gather information about a service, product, or process, a survey is described as an act of looking at a process or questioning a predetermined sample of people.

Based on the given conditions, formulate: 200 x 146%

Calculate the product or quotient: 292

Round the number: 292.0

Therefore, rounding data to the nearest thousandth, a 95% confidence interval for the percentage of persons in support of the tax plan is 292,

To learn more about the survey, refer to the link:

https://brainly.com/question/26144553

#SPJ1

Answer:

10. I feel bad for him.

Step-by-step explanation:

The volume V of the liver is 1104 cm³

What is volume?

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed numerically using SI-derived units, as well as different imperial or US-standard units. Volume and the definition of length are related.

Here, we have

The given values span a distance of 10*1.5 cm = 15 cm.

Dividing this into 5 intervals of equal width, we find that each interval is (15 cm)/5 = 3 cm wide.

The midpoints will be odd multiples of 1.5 cm, corresponding to given values.

The volume can be estimated as

Volume = (3 cm)(18 cm^2) + (3 cm)(77 cm^2) + (3 cm)(107 cm^2) + (3 cm)(128 cm^2) + (3 cm)(38 cm^2)

= (3 cm)((18 + 77 + 107 + 128 + 38) cm^2)

= (3×368) cm³

= 1104 cm^3

Hence, the volume V of the liver is 1104 cm³

To learn more about the volume from the given link

https://brainly.com/question/28838381

#SPJ4

If I am trying to communicate the typical service time for each shift, I would utilize the median. The reason is that the median is an appropriate measure of central tendency for skewed data distribution, which may be the case for service time data.

To determine the quicker turn-around time between morning and evening shifts, I would calculate the median service time separately for both shifts and compare them. The shift with the smaller median service time would have a quicker turn-around time as it reflects the middle value in a sorted list of observations.

For example, if we have service time data for the morning shift as follows: 2.5, 3, 4, 5, 6, 7, 8, 12, 15, 20 minutes, the median service time will be the middle value, which is 6 minutes. Similarly, if the service time data for the evening shift is 1, 2, 3, 4, 5, 5.5, 6, 7, 10, 12 minutes, the median service time will be the middle value, which is 5.5 minutes.

Comparing the two medians, we see that the evening shift has a smaller median service time (5.5 minutes) compared to the morning shift (6 minutes). This indicates that the evening shift has the quicker turn-around time in terms of service. Therefore, I would communicate to my boss that the evening shift has a quicker turn-around time than the morning shift based on the median service time.

Learn more about median here:

https://brainly.com/question/300591

#SPJ11

Answer:

u = 4

Step-by-step explanation:

32 = 5u + 3u = 8u ( divide both sides by 8 )

4 = u

Step-by-step explanation:

u=4 after you add or combine like terms , you then divide both sides by the same factor

Answer:

C)-1

Step-by-step explanation:

You can not spend a negative hour playing golf.

The domain of the function, t = 25x + 12.50 is x ≥ 0, hence the negative value is not a part of the domain, so option C is correct.

The function is a relationship between a set of potential outputs and a set of possible inputs, where each input has a single relationship with each output. This means that if an object x is present in the set of inputs (also known as the domain), then a function f will map that object to exactly one object f(x) in the set of potential outputs (called the co-domain).

Given:

The function of the total cost,

t = 25x + 12.50

Here when you put a negative value of x then the result will be negative, but the cost can not be negative and the value of time also can't be negative,

Domain of function = x ≥ 0

To know more about function:

https://brainly.com/question/5975436

#SPJ2

Answer: The problem states that the proportion of people who throw away a portion of what they buy at the grocery store is p = 0.4. We want to find the probability that the sample proportion exceeds a certain value, which we will denote as p-hat.

The sample size is n = 100, which is large enough to use the normal approximation to the binomial distribution.

The formula for the standard error of the sample proportion is:

SE = sqrt[p * (1 - p) / n]

Substituting the values given in the problem, we get:

SE = sqrt[0.4 * 0.6 / 100] = 0.049

To find the z-score corresponding to a sample proportion of , we use the formula:

z = (p-hat - p) / SE

Substituting the values given in the problem, we get:

z = ( - 0.4) / 0.049 = -2.04

Using a standard normal table, we find that the probability of obtaining a z-score of -2.04 or lower is 0.0207. Therefore, the probability that the sample proportion exceeds is approximately 0.0207, rounded to three decimal places.

Step-by-step explanation:

The range of the function is all values of y such that y is greater than or equal to -3. So, the range is [-3, infinity).

In mathematics, a function is a rule that assigns a unique output for each input in a set. The set of inputs is called the domain, while the set of outputs is called the range. Functions can be represented in various forms, such as an algebraic expression, a table of values, a graph, or a set of ordered pairs. Functions are essential in mathematical modeling, problem-solving, and data analysis in various fields such as science, engineering, economics, and finance.

Here,

The domain of this function is all values of x such that x - 1 is greater than or equal to zero, which means x is greater than or equal to 1. So, the domain is [1, infinity).

To know more about function,

https://brainly.com/question/28193995

#SPJ1

We can find the variance of a uniform distribution, using the following formula: Variance = (b - a)² / 12. Here: a is the lower limit of the uniform distribution, b is the upper limit of the uniform distribution.

The formula for the variance of a uniform distribution is based on the fact that the variance of a continuous uniform distribution is equal to the square of the range (i.e., the difference between the upper and lower limits) divided by 12.

For example, let's say we have a uniform distribution between 0 and 10. To find the variance, we would use the formula:

Variance = (10 - 0)² / 12

Variance = 100 / 12

Variance = 8.33

Therefore, the variance of a uniform distribution between 0 and 10 is 8.33.

Learn more about uniform distribution here: brainly.com/question/22209943

#SPJ4

Answer:

w - 10

Step-by-step explanation:

Substract 10 from W --> w - 10

The formula for the circumference of a circle is "c = 2 pi r", where "c" represents the circumference, "pi" represents the mathematical constant pi (approximately equal to 3.14159), and "r" represents the radius of the circle.

This formula relates the distance around a circle to its size, and is useful for calculating various measurements related to circles, such as arc length and sector area. It is important to note that the formula for the circumference of a circle assumes the circle is a perfect, unbroken curve, and thus may not be accurate for circles that are not perfectly round.

Find out more about distance

brainly.com/question/19146489

#SPJ4

Answer:

10648/27

Step-by-step explanation:

4 1/3=22/3

\((\frac{22}{3})^{3}\)= 10648/27

The relationship between the balance in the phone and the number of  

minutes of talking is a linear relationship.

Reasons:

First question

Initial balance in Julie's phone = $40

The balance after talking for 5 minutes = $39.25

Her balance after talking for 30 minutes = $34.75

Required:

Her balance after she has talked for 75 minutes

Solution:

\(The \ rate \ of \ change \ of \ her \ balance =\dfrac{34.75 - 39.25}{35 - 5 } = -0.15\)

Therefore, the rate of change of her balance with time = -0.15 Dollars/minute

The equation for her balance is; y - 39.25 = -0.15 × (x - 5)

y = -0.15·x + 0.75 + 39.25 = -0.15·x + 40

y = 40 - 0.15·x

When x = 75, y = 40 - 0.15×75 = 28.75

Second question:

The amount charged for paint = $90

Number of hours to paint the bedroom = 1 hour

Cost to paint the bedroom = $125

Number of hours to paint the kitchen = 4 hour

Cost to paint the kitchen  = $230

The cost to paint per hour is therefore;

\(Cost \ per \ hour =\dfrac{230- 125}{4 - 1 } = 35\)

The cost to paint per hour = $35 /hour

Learn more here:

https://brainly.com/question/12865923

The prediction thay the shopper can make about buying mystery bags in the future is A.There will be 4 more spy novels in 8 bags than in 6 bags.

Since the shopper bought 3 mystery bags and found that 6 books were spy novels, it means that there are 6/3 = 2 spy novels in each bag.

There, the prediction thay the shopper can make about buying mystery bags in the future is that there will be 4 more spy novels in 8 bags than in 6 bags.

This is because there's an extra 2 bags which will be equal to 4 spy novels

Learn more about mystery numbers on:

brainly.com/question/25734188

#SPJ1

Step-by-step explanation:

As you know

\( a_{n} = a_{1} \times {r}^{n - 1} \)

1.

\(3 \times {3}^{4} = {3}^{5} \\ 3 \times {3}^{6} = {3}^{7} \\ 3 \times {3}^{8} = {3}^{9}\)

2.

\(2 \times {2}^{4} = {2}^{5} \\ 2 \times {2}^{6} = {2}^{7} \\ 2 \times {2}^{8} = {2}^{9}\)

3.

\( - \frac{1}{2} \times {( - 6)}^{4} = { \frac{ - 1}{2} } \times {6}^{4} \\ - \frac{1}{2} \times {( - 6)}^{6} = { \frac{ - 1}{2} } \times {6}^{6} \\ - \frac{ 1}{2} \times {( - 6)}^{8} = { \frac{ - 1}{2} } \times {6}^{8} \)

The   statement that is true ,congruence of corresponding angles is preserved under rigid Transformations.

If a series of rigid transformations maps ∠F onto ∠C, where ∠F is congruent to ∠C, it implies that the two angles have the same measure or size. Given this information, the following statement is true:

The congruence of corresponding angles is preserved under rigid transformations.

Rigid transformations, such as translation, rotation, and reflection, preserve the size, shape, and angles of geometric figures. When ∠F is congruent to ∠C, it means that the measures of the angles are equal.

By applying a series of rigid transformations that map ∠F onto ∠C, the congruence between the two angles is maintained. This means that the resulting transformed angle, after the series of transformations, will still have the same measure as the original angle.

In other words, if ∠F and ∠C are congruent, the rigid transformations will preserve the equality of their measures. Therefore, the congruence between the corresponding angles is maintained throughout the series of rigid transformations.

It is important to note that congruent angles have equal measures, but their orientations or positions may differ. Rigid transformations do not change the measure of angles but can alter their positions or orientations in space.

Hence, the statement that is true in this context is:

The congruence of corresponding angles is preserved under rigid transformations.

To know more about Transformations.

https://brainly.com/question/29788009

#SPJ8

22 would be displayed by command print(magic(5)).

The statement print(magic(5)) would display the result of the magic function when called with an argument of 5.

The print function is a commonly used function in programming languages that allows you to display output to the console or terminal. It is used to output text, variables, or other data to the standard output device.

Substituting num = 5 into the function definition, we get:

x = num - 3 = 5 - 3 = 2

return x + 2 * 10 = 2 + 20 = 22

Therefore, print(magic(5)) would display 22.

Learn more about print function in code here:

https://brainly.com/question/31735421

#SPJ1

Answer:Flip the inequality sign when you multiply or divide both sides of an inequality by a negative number. You also often need to flip the inequality sign when solving inequalities with absolute values

Step-by-step explanation:Hope this helped u kind sir or ma'am also may i plz have brainlist?

The length of a truck is an example of a continuous data set, and 20 feet is just one possible value within that range.

The given value, "a truck with a length of 20 feet," is an example of a continuous data set.

Continuous data refers to values that can take on any numerical value within a range, with no gaps or interruptions. In this case, the length of a truck can take on any value between 0 and some maximum length, with no gaps or interruptions in between.

In contrast, discrete data refers to values that can only take on certain specific values, usually integers. For example, the number of tires on a truck is a discrete data set because it can only take on integer values (e.g. 4, 6, 8).

For more such questions on continuous data

https://brainly.com/question/17141874

#SPJ4  

Answer:

Take  the expression  x^2/3  which has an exponent  of 2/3.  The top of the fraction refers to the power  - that is  x^2 ( x squared). and the 3 indicates  a cubic root.

So in radical form  it is  ∛(x^2)

Converting radical to exponent  an example would be

∛(x^5)   =  x^(5/3)    

Step-by-step explanation:

hope this helps.