Round 88,855 to the nearest hundred.

The sampling distribution of difference between means approximates a normal curve whose mean is zero.

The sampling distribution means the probability distribution based on the large number of samples of size n from the given population

Mean is the average of the given numbers and it is calculated by dividing the sum of observation by the number of observation. Here the term observation represents the given data.

Here they used the normal curve, sot its mean value is zero

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Answer:6.76 cm2

Step-by-step explanation:

You have multiply 2.6 by 2.6 and then you have to square the cm so it will be 6.76 cm2

Answer: A. 6.76 \(cm^2\)

Step-by-step explanation:

Area is just length times width.

The length is 2.6 cm and the width is 2.6 cm, so just multiply the two.

2.6 x 2.6 = 6.76 \(cm^2\)

Make sure you don't forget the squared in questions that ask for area.

The rate of change of the area of the triangle is -49.5 cm^2/s.

In this problem, the base is decreasing at a rate of 11 cm/s and the height is constant at 9 cm. To find the rate of change of the area, we can use the given information:

1. The formula for the area of a triangle is: Area = (1/2) * base * height.
2. The base is decreasing at a rate of 11 cm/s: d(base)/dt = -11 cm/s.
3. The height is constant at 9 cm: height = 9 cm.

Now, we differentiate the area formula with respect to time t:

d(Area)/dt = (1/2) * d(base * height)/dt.

Since the height is constant, we can rewrite this as:

d(Area)/dt = (1/2) * height * d(base)/dt.

Plug in the given values:

d(Area)/dt = (1/2) * 9 * (-11).

Now, calculate the result:

d(Area)/dt = -49.5 cm^2/s.

So, the rate of change of the area of the triangle is -49.5 cm^2/s.

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Answer:

Distributive Property

Step-by-step explanation:

16(4x -1) = 16 · 4x - 16·1
16 is distributed across both terms and multiplied by each term

Step-by-step explanation:

x = 3/2 + y/2

Answer:

C. 33

Step-by-step explanation:

36% of 150=54

14% of 150=21

54-21=33

The equation in function notation for the total cost of the book club will be y = 20x + 12.

An equation is a claim that demonstrates the equality of two mathematical expressions, according to algebra. For instance, x + 9 = 10 is an equation, in which x + 9 and 10 are two expressions separated by an 'equal' sign.

Considering that Genesis must pay $12 to join the book club.

Per month fee = $20.00

We are aware that a linear function's slope-intercept form is

y = mx + b

where m is the slope and b is the y-intercept

Since the slope is another name for the rate of change.

The rate of $20 would be referred to as the slope = m = 20.

One-time charge is $12.00, hence the y-intercept is equal to b = 12.

Thus, the equation becomes

Y= mx + b

Here y = represents the total cost

x = represents the duration

m = represents the rate of change = 20

b = represents the y-intercept =12

y = 20x + 12

Therefore, an equation in function notation for the total cost of the book club will be y = 20x + 12

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Answer:

5 inches

Step-by-step explanation:

We need to converver the cm to inches.

\(\frac{12.5 cm}{1}\) · \(\frac{1 in}{2.54 cm}\) = \(\frac{12.5 in}{2.54}\) = 4.92125984252 Rounded to the nearest whole number is 5 inches.

Helping in the name of Jesus.

Throughput time and output rate are related, and the importance between them depends on factors such as customer satisfaction, cost efficiency, and agility.

Output rate and throughput time are two important concepts in production and manufacturing processes.

Output rate refers to the number of units or items produced within a given time period. It measures the productivity or efficiency of a system in terms of the quantity of output produced. It is typically expressed as units per hour, units per day, or units per month.

Throughput time, also known as cycle time or lead time, represents the total time taken for a unit or item to move through the entire production process, from the start to the finish. It includes all the processing time, waiting time, and any other time delays that occur during the production process. Throughput time is measured in units of time, such as minutes, hours, or days.

The relationship between output rate and throughput time is crucial for assessing the overall performance and effectiveness of a production system. Generally, there is an inverse relationship between the two:

1. Higher Output Rate, Longer Throughput Time: When the output rate is increased, it often results in longer throughput time.

This is because producing more units within a given time period may require additional processing steps, longer processing times per unit, or increased waiting time in queues. The system may experience bottlenecks or inefficiencies that extend the overall throughput time.

2. Lower Output Rate, Shorter Throughput Time: Conversely, reducing the output rate may lead to shorter throughput time.

With fewer units to produce, there may be less congestion, fewer queues, and smoother processing flows. The overall time taken for a unit to move through the production process can be reduced.

Regarding the importance of throughput time compared to output rate, it depends on the specific context and objectives of the production system. In certain scenarios, throughput time can be more critical than output rate for the following reasons:

1. Customer Satisfaction: Shorter throughput time often translates to faster delivery or response times, which can enhance customer satisfaction. Customers typically value prompt service and reduced waiting times, which can be achieved by optimizing the throughput time.

2. Cost Efficiency: Longer throughput time can lead to higher inventory costs, increased storage requirements, and potential bottlenecks. By minimizing throughput time, a company can reduce its working capital tied up in inventory and improve cost efficiency.

3. Flexibility and Agility: In fast-paced industries or environments with changing customer demands, shorter throughput time allows for quicker adaptation and responsiveness. It enables companies to adjust their production levels and product mix more rapidly, contributing to improved agility.

While output rate remains an important metric to measure productivity and revenue generation, optimizing throughput time can provide several advantages in terms of customer satisfaction, cost efficiency, and agility. Therefore, in certain situations, throughput time may indeed be considered more important than output rate.

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The complete question is:

Please define output rate and throughput time; discuss the relationship between them. It has been said that throughput time is as important as output rate, sometime may be more important than output rate. Do you agree ?

Answer:

The equation of the parallel line is

y = 3x + 9

Step-by-step explanation:

The general equation of a straight line is given as;

y = mx + c

where m is the slope and c is the intercept

If two lines are parallel, their slopes are equal

So the slope of the new line too is 3

Using the point-slope formula

y-y1 = m(x-x1)

y-12 = 3(x-1)

y-12 = 3x-3

y = 3x-3 + 12

y = 3x + 9

True. A vector in space can be described by specifying its magnitude and its direction angles. The magnitude of a vector represents its length or size, while the direction angles determine the orientation of the vector with respect to a reference axis system.

In three-dimensional space, a vector can be decomposed into its components along the x, y, and z axes. By using trigonometric functions, the direction angles of the vector can be determined. The direction angles are typically measured with respect to the positive x-axis, the positive y-axis, and the positive z-axis.

Once the magnitude and direction angles of a vector are known, the vector can be fully described. This description allows for precise calculations and analysis of vector quantities, such as displacement, velocity, and force, in various physical and mathematical contexts.

It's worth noting that there are alternative ways to describe vectors, such as using Cartesian coordinates or unit vectors. However, specifying the magnitude and direction angles provides a convenient and comprehensive representation of a vector in space.

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With the help of the figure we can say that triangles are congruent by SAS Rule

What is Congruence of Triangle?

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides are equal and all three of their corresponding angles are equal in size. These triangles can be moved, rotated, flipped, and turned to look exactly the same.

Solution:

By SAS rule, two triangles are said to be congruent if any two sides and the angle included between the sides of one triangle are comparable to the corresponding two sides and the angle included between the sides of the second triangle.

In given figure, sides AB= PQ, BC=QR and angle between AB and BC equal to angle between PQ and QR i.e. ∠B = ∠Q. Hence, Δ ABC ≅ Δ PQR.

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The value of the given expression [\(87^3+ 13^3/87^2 -87 * 13 + 13^2\)] by simplifying the numerator and denominator using suitable identities is 100.

We will first calculate the numerator:

As  (\(a^3\) + \(b^3\)) = (a + b)(\(a^2\) - ab + \(b^2\)) :

\(87^3\) + \(13^3\) = (87 + 13)(\(87^2\) - \(87 * 13\) + \(13^2\))

= 100(\(87^2\) - 87 * 13 + \(13^2\))

Now, calculate the denominator:

\(87^2 - 87 * 13 + 13^2\)

As,(\(a^2 -2ab +b^2\)) =\((a - b)^2\):

\(87^2 - 87 * 13 + 13^2 = (87 - 13)^2\)

\(= 74^2\)

So by solving the equation further:

\((87^3+13^3) / (87^2- 87 * 13+13^2) = 100*(87^2- 87 *13 + 13^2)/(87^2 - 87 * 13 + 13^2)\)

As we can see the numerator and denominator are the same expressions (\(87^2 - 87 * 13 + 13^2\)). so, they cancel each other:

\((87^3 + 13^3) / (87^2 - 87 * 13 + 13^2) = 100\)

So, the value of the given expression is 100.

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Answer:

375

Step-by-step explanation:

Answer:

B no it's not a function

Step-by-step explanation:

there has to be decrease and increase in the line

Answer: either I don't understand the question or its 72% and I'm fairly certain its 72%

To find all the zeros of a polynomial, we have to factor it completely. We'll have a series of factors in the form:

Were a is a zero of the polynomial.

Let's find the zeros of the given polynomial:

Thereby, the zeros of the polynomial are -2, -3 and 4. Each one with a multiplicity of one (They appear only one time)

To prove that YEAR is a square, we need to show that all four sides have the same length and all four angles are right angles (90 degrees).

Side Lengths: To find the lengths of the sides, we can use the distance formula:

d = √((x2 - x1)² + (y2 - y1)²)

For example, to find the length of the side that connects Y and E, we can use the following calculation:

d = √((3 - 1)² + (0 - (-4))²) = √((2)² + (4)²) = √(4 + 16) = √20

We can use the same formula to calculate the lengths of the other sides. By doing so, we will find that the length of all four sides are the same, which is √20. This means that all four sides of YEAR are congruent, and therefore it is a square.

Incomplete Question:

The content of the pie chart is as follows:

Hamsters  = 9% ; Snakes  = 10% ; Cats  = 23%

Birds  = 21% ;  Dogs  = 26% ;  Fish  = 11%

Answer:

The number of citizens who chose cat or fish is 47,600

Step-by-step explanation:

Given

Number of citizens = 140,000

Required

Determine the number of those that chose fish or cats

First, we need to calculate the percentage of those whose pets are either cats or fish

\(Percentage = Cat + Fish\)

Substitute 23% for cat and 11% for fish

\(Percentage = 23\% + 11\%\)

\(Percentage = 34\%\)

Next, is to multiply the calculated percentage by the number of citizens

\(Cat\ or\ Fish = Percentage * Number\ of\ Citizens\)

\(Cat\ or\ Fish = 34\% * 140000\)

\(Cat\ or\ fish = 47600\)

Hence, the number of citizens who chose cat or fish is 47,600

the number of citizens who chose cat or fish is 47,600

= Number of citizens × total percentage

\(= 140,000 \times (23\% + 11\%)\\\\= 140,000 \times 34\%\)

= 47,600

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Answer:

  2.7 < x < 12.3 meters

Step-by-step explanation:

You want to know the possible lengths of the third side of a triangle, given that two sides are 7.5 m and 4.8 m.

The triangle inequality requires the sides of a triangle have the relationship ...

  a + b > c

for any assignment of side lengths to the letters a, b, c. In effect, this means the length of a third side must lie between the sum and the difference of the other two sides.

  7.5 -4.8 < x < 7.5 +4.8

  2.7 < x < 12.3 . . . . . meters

To find the P-value, we need to find the probability of getting a test statistic less than or equal to the -1.38 under a null hypothesis.

Using a standard normal distribution table or calculator, we find that the area to the left of -1.38 is 0.0844.

Therefore, the P-value is 0.0844.

To decide whether to reject the null hypothesis at a significance level of α = 0.05, we compare the P-value to α. Since the P-value (0.0844) is greater than α (0.05), we fail to reject the null hypothesis. We do not have enough evidence to support the alternative hypothesis at the 0.05 level of significance.

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Answer:

absolute value function

Step-by-step explanation:

hope this helps

The graph of the inequality y^2 > 0 represents all real numbers except y = 0.

The graph of the inequality y < 30 represents all real numbers less than 30.

The inequality y^2 > 0 represents all values of y where y squared is greater than 0. Since the square of any nonzero number is always positive, the solution is all real numbers except y = 0, which can be graphed as a number line with an open circle at y = 0.

The inequality y < 30 represents all values of y that are less than 30. This can be graphed as a horizontal line on the y-axis with an open circle at y = 30, indicating that 30 is not included in the solution set.

For the real-world applications, let's solve them step-by-step:

Two numbers add up to 144. One number is half the square of the other number.

Let's assume the two numbers are x and y. We have the following system of equations:

x + y = 144 (Equation 1)

x = (1/2)y^2 (Equation 2)

From Equation 1, we can solve for x in terms of y: x = 144 - y.

Substituting this into Equation 2, we get 144 - y = (1/2)y^2.

Rearranging the equation, we have: (1/2)y^2 + y - 144 = 0.

Now we can solve this quadratic equation for y. Once we find the value(s) of y, we can substitute them back into Equation 1 to find the corresponding values of x.

The squares of two numbers add to 1,156. The second number is the square root of three times the square of the first number.

Let's assume the two numbers are x and y. We have the following system of equations:

x^2 + y^2 = 1156 (Equation 1)

y = √(3x^2) (Equation 2)

Substituting Equation 2 into Equation 1, we get: x^2 + (√(3x^2))^2 = 1156.

Simplifying, we have x^2 + 3x^2 = 1156.

Combining like terms, we get 4x^2 = 1156.

Now we can solve this quadratic equation for x. Once we find the value(s) of x, we can substitute them back into Equation 2 to find the corresponding values of y.

Remember to leave a 1 line space between paragraphs in your answer.

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Answer:

the rotational symmetry of a rhombus is of the order 2

Step-by-step explanation:

hope it helps :)

The triangles are similar by the SAS(side–angle–side) criteria for triangle similarities.

The SAS(side–angle–side) criterion for triangle similarity states that If the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle inscribed by the two sides in both the triangle are equal, then two triangles are said to be similar.

Observing the triangles, if the ratio of side lengths 24 and 120 is equal to that of 14 and (14 + 56), then the angles inscribed by the two sides are in both triangles are equal.

24 : 120 = 24/120

24 : 120 = 1/5

24 : 120 = 1: 5

14 : 70 = 14/70

14 : 70 = 1/5

14 : 70 = 1 : 5

In conclusion, the triangles are similar by the SAS(side–angle–side) criteria for triangle similarities

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The statement "bar charts are more versatile than pie charts and line charts" is true.

The statement "bar charts are more versatile than pie charts and line charts" is true. Bar charts are versatile and can be used to compare data, show trends over time, and compare different categories or groups. They are especially useful for showing data with distinct categories, such as nominal data. In contrast, pie charts are limited in their use because they can only represent parts of a whole, while line charts are best suited for showing trends over time. Bar charts can be customized to display a wide range of information and are a valuable tool for communicating data effectively in a variety of contexts.

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If you received a gift of $10,000 3 years ago and you want to spend it in 3 years with interest rate is 4%, it will be worth $12,653.19. Option b is correct.

To calculate the future value of a present sum after a specified period, we can use the formula for compound interest:

Future Value = Present Value * (1 + Interest Rate)ᴺ

In this case, the present value is $10,000, the interest rate is 4% or 0.04, and the number of periods is 6 years because you received the gift 3 years ago and want to spend it in 3 years.

Using the formula:

Future Value = \(\$10,000 * (1 + 0.04)^6\)

Future Value = \(\$10,000 * (1.04)^6\)

Future Value = $10,000 * 1.1265319

Future Value ≈ $12,653.19

Therefore, the amount will be approximately $12,653.19. Option b is correct.

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The value of x is 2.045 by simple algebra.

Use the time formula, t = d/s, which states that time is equal to distance divided by speed, to solve for time. Time is a function of both speed and distance.

Until it reaches its destination 200 miles distant, a car is driving on a little highway at either 55 or 35 miles per hour, depending on the posted speed restrictions.

x is the duration, in hours, that the vehicle is travelling at 55 mph.

Y is the duration, in hours, that the vehicle is travelling at 35 mph.

55x + 35y = 200 is the equation defining the relationship.

We must locate:

If the trip takes the car 2.5 hours at 35 miles per hour, how long does it take to travel at 55 miles per hour?

∵ 55x + 35y = 200

The drive takes the car 2.5 hours at a speed of 35 mph.

Y shows the duration of time for an automobile travelling at 35 mph.

∴ y = 2.5

- To obtain the value of x, substitute the value of y into the equation.

∴ 55x + 35(2.5) = 200

∴ 55x + 87.5 = 200

- Take 87.5 off of both sides.

∴ 55x = 112.5

- Subtract 55 from both sides.

x equals 2.045 hours.

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Answer:

1 day

Step-by-step explanation:

You can write an equation, or you can just see what happens each day.

Chris:

Start       10

1 day       6

2 days     2

Evan:

Start        8

1 day       6

Answer: C 1 day