pleaseeeee help me with this!zn

The better statistics that can be used to compare the scores of the two teams are: D. Median and IQR​.

Box plots displays the 5-number summary, namely:

The Interquartile Range (IQR) of the data can also be calculated by finding the difference between the First Quartile \((Q_1)\), and the Third Quartile \((Q_3)\).

The Interquartile Range (IQR) helps us to determine the variability of the data set.

The median that is gotten from the box pot measures the center tendency of the data.

Both median and IQR are better statistics that can be easily gotten from box plots to compare the team scores.

Therefore, the better statistics to use for comparing the scores of the teams are: D. Median and IQR​.

Learn more here:

https://brainly.com/question/15800880

The slope of the line is 1

Answer:

..................

Step-by-step explanation:

The slope of the line is 1.

In the Fixed deposit account, you will not be able to withdraw your money before time without a penalty fee from the bank and you will receive a fixed amount of interest on your original deposit.

In a Fixed-Term Deposit account, an account is opened with a bank wherein, the bank pays a guaranteed interest rate on the sums deposited for a fixed period or tenure.

This type of account allows you to earn higher returns (interest) on funds lying idle in your Savings Account.

Banks are free to charge their own penalty fee in the case of premature withdrawal of Fixed Deposit.

At the end of the stipulated period, the deposit will automatically be renewed unless you update your maturity instructions.

Learn more about a fixed deposit at brainly.com/question/30407986.

#SPJ1

(a) To find the mean and variance of the service times, we can use the given discrete distribution.

The mean can be calculated by taking the weighted average of the service times: Mean = (1 * 0.3) + (2 * 0.3) + (3 * 0.4) = 0.3 + 0.6 + 1.2 = 2.1 minutes
To find the variance, we need to calculate the squared deviations from the mean and then take the weighted average: Variance = [(1 - 2.1)^2 * 0.3] + [(2 - 2.1)^2 * 0.3] + [(3 - 2.1)^2 * 0.4]
      = [(-1.1)^2 * 0.3] + [(-0.1)^2 * 0.3] + [(0.9)^2 * 0.4]
      = 0.363 + 0.003 + 0.324
      = 0.69

(b) The traffic intensity (ρ) is the ratio of the mean service time to the mean interarrival time. In this case, the mean service time is 2.1 minutes, and the mean interarrival time is given as 2.2 minutes. Therefore:

Traffic Intensity (ρ) = Mean Service Time / Mean Interarrival Time
                    = 2.1 / 2.2
                    = 0.9545

(e) The system throughput is the average number of customers served per unit of time. Since the interarrival times are exponentially distributed, the system throughput can be calculated as the reciprocal of the mean interarrival time:

System Throughput = 1 / Mean Interarrival Time
                 = 1 / 2.2
                 ≈ 0.4545 customers per minute

(a) The long-run average waiting time (excluding service time) for each customer can be calculated using Little's Law. Little's Law states that the long-run average number of customers in a stable system is equal to the product of the long-run average arrival rate and the long-run average waiting time. Since the system is single-server, the arrival rate is the same as the throughput. Therefore:

Long-run Average Waiting Time = Average Number of Customers / Throughput
                            = 1 / System Throughput
                            ≈ 1 / 0.4545
                            ≈ 2.2 minutes

(e) The long-run average number of customers in the system can also be calculated using Little's Law. It is equal to the product of the long-run average arrival rate and the long-run average time a customer spends in the system. Since the arrival rate is the same as the throughput, and the service time includes both waiting time and service time, we can subtract the waiting time from the total service time to find the time spent in the system:

Long-run Average Number of Customers = Throughput * (Mean Service Time - Waiting Time)
                                   ≈ 0.4545 * (2.1 - 2.2)
                                   ≈ -0.0454

The negative value indicates that, on average, there are no customers in the system, which suggests that the system is underutilized or not operating at its full potential.

Learn more about negative here: brainly.com/question/14719138

#SPJ11

A matrix is the sum of two non-singular matrices is not generally true.

I'm sorry, but I'm unable to prove that a matrix is the sum of two non-singular matrices. The statement itself is not true.

A non-singular matrix, also known as an invertible matrix or non-singular square matrix, is a matrix that has an inverse. In other words, a non-singular matrix is one that can be multiplied by another matrix to give the identity matrix.

If we consider the sum of two non-singular matrices, it does not necessarily result in a non-singular matrix. The sum of two non-singular matrices can be a non-invertible matrix or a singular matrix.

For example, let's consider two non-singular matrices:

A = [1 0] B = [0 1]

[0 1] [1 0]

The sum of A and B would be:

A + B = [1+0 0+1] = [1 1]

[0+1 1+0] [1 1]

The resulting matrix A + B is a singular matrix since its determinant is 0. Therefore, it is not the sum of two non-singular matrices.

Hence, the claim that a matrix is the sum of two non-singular matrices is not generally true.

Learn more about matrix here

https://brainly.com/question/1279486

#SPJ11

Answer:

(x - 1, y) -> (x - 1, y - 10)

Step-by-step explanation:

Given

Translation: 1 unit left and 10 units down

Required

Determine the coordinates of the new pentagon

When a point (x,y) is translated b units left, the image of the translation is:

(x,y) -> (x - b, y)

So, 1 unit left means:

(x,y) -> (x - 1, y)

When a point (x,y) is translated h units down, the image of the translation is:

(x,y) -> (x, y - h)

So, 10 unit down means:

(x - 1, y) -> (x - 1, y - 10)

Hence, the rule of the translation is: (x - 1, y) -> (x - 1, y - 10)

Answer:

Sample 1

ATTCGACGTC

k to add speaker notes

-

acer

Sample 2

GATAGCTAGG

?--?

Given:

The expression is

\(8p+3q-18\)

To find:

The value of the expression when \(p=\dfrac{1}{2}\) and \(q=7\).

Solution:

We have,

\(8p+3q-18\)

Putting \(p=\dfrac{1}{2}\) and \(q=7\), we get

\(8(\dfrac{1}{2})+3(7)-18\)

\(=4+21-18\)

\(=7\)

Therefore, the value of the expression is 7 when \(p=\dfrac{1}{2}\) and \(q=7\).

Answer: 7

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

5n = 125

n = 25

0.8 x 25 = 20

The if statement assigns a value of 10000 to the variable "bonus" if the value of the variable "goodssold" exceeds 500000.

To achieve this, we can use an if statement in programming. An if statement allows us to conditionally execute a block of code based on a specified condition. In this case, the condition is whether the value of the variable "goodssold" is greater than 500000. If the condition evaluates to true, the code inside the if statement will be executed, and the variable "bonus" will be assigned a value of 10000.

Here's an example of how the if statement can be written in Python:

if goodssold > 500000:

   bonus = 10000

In this code snippet, the variable "goodssold" represents the number of goods sold, and we compare its value to 500000 using the greater than operator (>). If the condition is true, the code inside the if statement is executed, and the variable "bonus" is assigned a value of 10000. If the condition is false, the code inside the if statement is skipped, and the variable "bonus" retains its previous value (if any).

By using this if statement, we can dynamically assign a bonus of 10000 to the variable "bonus" based on the value of the variable "goodssold" being greater than 500000. This allows for flexible and conditional handling of the bonus calculation in the program.

Learn more about statement here:

https://brainly.com/question/30483936

#SPJ11

Answer:

equation: (15x)-(400-100)

x=20

Step-by-step explanation:

(15x)-(400-100)

(15x20)-(400-100)

(15x20)-(300)

(300)-(300)

The area of the circle is 28.27433

a) The modal class of time spent exercising is of: 50 < x ≤  60.

b) The median class of time spent exercising is of: 20 < x ≤ 30.

First we obtain the modal class, which is the class with the highest number of observations.

The table gives the absolute frequencies, which are the number of observations in each class, hence the modal class is given as follows:

50 < x ≤  60.

As it has 21 observations, which is the highest number of observations.

The median of the distribution is the middle value of the distribution, which is the value of which half the distribution is less than and half is greater than.

This distribution has 79 scores, hence the median class is the class in which the (79 + 1)/2 = 40th score is, which is given by:

20 < x ≤ 30.

As:

The table is given by the image shown at the end of the answer.

More can be learned about median and mode at brainly.com/question/14532771

#SPJ1

The required answer is :

a. The third side of the reflective sticker cannot be 12 cm long.

b. It is not possible to form a triangle with side lengths of 6 cm, 8 cm, and 2 cm.

According to the triangle inequality theorem, the sum of any two sides of a triangle must be greater than the third side.

In this case, the sum of the two given sides (6 cm + 8 cm = 14 cm) is less than the length of the third side (12 cm).

Therefore, it is not possible to form a triangle with side lengths 6 cm, 8 cm, and 12 cm.

(b) The third side of the reflective sticker cannot be 2 cm long.

Applying the triangle inequality theorem, the sum of any two sides of a triangle must be greater than the third side.

The sum of the two given sides (6 cm + 8 cm = 14 cm) is greater than the length of the third side (2 cm).

Hence, it is not possible to form a triangle with side lengths 6 cm, 8 cm, and 2 cm.

Therefore, a. The third side of the reflective sticker cannot be 12 cm long.

b. It is not possible to form a triangle with side lengths of 6 cm, 8 cm, and 2 cm.

Learn more about triangle inequality theorem  here:

https://brainly.com/question/30956177

#SPJ11

In conclusion, the function f(x) = x/4 + (3x - 8)/(x - 3) does not have an absolute maximum or an absolute minimum on the interval [3, ∞).

To find the absolute maximum and absolute minimum of the function f(x) = x/4 + (3x - 8)/(x - 3) on the interval [3, ∞), we need to analyze the critical points, endpoints, and the behavior of the function within the interval.

Critical Points:

To find the critical points, we look for values of x where the derivative of f(x) is equal to zero or undefined.

Taking the derivative of f(x) with respect to x, we have:

\(f'(x) = (1/4) - (3(x - 3) - (3x - 8))/(x - 3)^2\)

Simplifying further, we get:

\(f'(x) = (1/4) - (5/(x - 3))^2\)

Setting f'(x) equal to zero, we find that there are no critical points within the interval [3, ∞).

Endpoints:

The given interval [3, ∞) has an endpoint at x = 3.

Behavior of the function:

As x approaches infinity, the function f(x) approaches a limit:

lim(x→∞) f(x) = x/4 + (3x - 8)/(x - 3)

= x/4 + 3

Therefore, as x goes to infinity, f(x) goes to infinity as well.

Now, let's analyze the values of f(x) at the critical points and endpoints:

At x = 3 (endpoint):

f(3) = 3/4 + (3(3) - 8)/(3 - 3)

= 3/4 - 5/0 (undefined)

As x approaches infinity:

lim(x→∞) f(x) = x/4 + 3

Since f(x) approaches infinity as x goes to infinity, there is no absolute maximum within the interval [3, ∞).

However, there is no absolute minimum either because the function is not defined at x = 3, which is an endpoint of the interval.

To know more about function,

https://brainly.com/question/32544273

#SPJ11

Answer:

8

Step-by-step explanation:

Integers are whole numbers or opposite of whole numbers.

The slope is 111/11.

How?

Change of y is 1000-1=999.

Change of x is 100-1=99.

The slope is 999/99=111/11.

So if we start at (1,1) and we rise 111 and run 11 right, we get (12,112).

*Rise effects y and run effects x.

If we do that again from (12,112) we get (23,223).

Following the pattern of going up 111 and right 11 from each new location discovered we get all the of these points:

Start (1,1)

(12,112)

(23,223)

(34,334)

(45,445)

(56,556)

(67, 667)

(78, 778)

(89, 889)

(100, 1000) which is the end.

So we just need to count tthe points between begin point and end point which is 8 points.

Answer:

1/2 × |AB| × |OE|

Step-by-step explanation:

use the formula for finding the area of a triangle.

Answer:

\( \sqrt{1314} \)

Step-by-step explanation:

a²+b²=c² so: 33²+15²=x²

1089+225=x²

1314=x²

take the square root of both sides

36.249=x or

\( \sqrt{1314 } \)

=x

In a rectangle WXYZ, if the measure of angle 1 is 30 degrees, then the measure of angle 8 can be determined.

A rectangle is a quadrilateral with four right angles. In a rectangle, opposite angles are congruent, meaning they have the same measure. Since angle 1 is given as 30 degrees, angle 3, which is opposite to angle 1, also measures 30 degrees.

In a rectangle, opposite angles are congruent. Since angle 1 and angle 8 are opposite angles in quadrilateral WXYZ, and angle 1 measures 30 degrees, we can conclude that angle 8 also measures 30 degrees. This is because opposite angles in a rectangle are congruent.
Since angle 3 and angle 8 are adjacent angles sharing a side, their measures should add up to 180 degrees, as they form a straight line. Therefore, the measure of angle 8 is 180 degrees minus the measure of angle 3, which is 180 - 30 = 150 degrees.

So, if angle 1 in rectangle WXYZ is 30 degrees, then angle 8 measures 150 degrees.

Learn more about rectangle here:

https://brainly.com/question/29123947

#SPJ11

The curve with polar equation r = 10sin(θ)cos(θ) can be expressed in Cartesian coordinates as \(x^2 + y^2 - 10xy = 0\)

To derive the Cartesian equation, we can use the identities x = r cos(θ) and y = r sin(θ) to substitute for r in the polar equation:

\(x^2 + y^2 = (10sin(\theta)cos(\theta))^{2}\)

Simplifying, we get:

\(x^2 + y^2 = 25x^{2}y^{2}\)

Rearranging, we obtain the final Cartesian equation:

\(x^2 + y^2 - 10xy = 0\)

This equation represents a special type of conic section known as a hyperbola. It has two branches that are symmetric about the line y = x/2. To visualize the curve, we can plot several points using the polar equation and convert them to Cartesian coordinates.

Learn more about polar equation here:

https://brainly.com/question/29083133

#SPJ11

7/4 can be expressed as

3/4 can be expressed as

Then, the fractions to compare are:

14/8, 4/8, 7/8, 6/8

We can order them only considering the numerators. from least to greatest value the ordered list is:

4/8, 6/8, 7/8, 14/8

or

4/8, 3/4, 7/8, 7/4

Answer:We know that 0 = tan-¹(0.52).

The tangent function gives the ratio of the opposite side to the adjacent side of a right-angled triangle. Therefore, we can use the inverse tangent function to find the angle when the opposite and adjacent sides are given.

So, we can write this equation as:

tan(0) = 0.52

To solve for 0, we need to take the inverse tangent of both sides of the equation:

tan-¹(tan(0)) = tan-¹(0.52)

0 = tan-¹(0.52) ≈ 27.4° (rounded to 1 decimal place)

Therefore, the value of 0 is approximately 27.4 degrees to 1 decimal place.

Step-by-step explanation:

In order to determine the probability of a random selected student to be a men, we need to divide the number of men by the number of all the students in the class. We have:

The probability of a random student being a man is approximately 67%.

The derivative of the function u(t⁴ - 2t) = 2t³ i + (t² - 6) j - 4 k is:

u'(t⁴ - 2t) = 24t⁵ i - 12t³ j + 8t⁴ k.

We can find the derivative of the function u(t) = u(t⁴ - 2t) = 2t³ i + (t² - 6) j - 4 k, where u(t) is a vector-valued function.

To find the derivative of u(t⁴ - 2t), we use the chain rule:

u'(t) = u'(t⁴ - 2t) * (4t³ - 2)

where u'(t) is the derivative of u with respect to its argument. In this case, the argument is t⁴ - 2t, so we need to find u'(t⁴ - 2t) and then multiply it by the derivative of the argument with respect to t, which is 4t³ - 2.

To find u'(t⁴ - 2t), we differentiate u(t) with respect to its components:

u'(t) = (6t² i + 2t j) * (4t³ - 2)

= 24t⁵ i - 12t³j + 8t⁴ k

Therefore, the derivative of the function u(t⁴ - 2t) = 2t³ i + (t² - 6) j - 4 k is:

u'(t⁴ - 2t) = 24t⁵ i - 12t³ j + 8t⁴ k

Note that the derivative of a vector-valued function is also a vector-valued function.

Learn more about derivative here brainly.com/question/29020856

#SPJ4

The process of how to construct a square with a compass and straightedge is explained

To construct a square using a compass and straightedge, follow these steps:

1. Start with a line segment AB. This will be one side of the square.

2. Use a compass to mark off four equal distances along the line segment AB. These points will be the vertices of the square.

Let's call these points C, D, E, and F.

3. With the compass centered at point C, draw an arc that intersects line segment AB at two points. Label these points G and H.

4. With the compass centered at point D, draw an arc with the same radius as in step 3. This arc should intersect line segment AB at two points. Label these points I and J.

5. Use a straightedge to draw lines through points G and H and extend them until they intersect. Label this intersection point K.

6. Similarly, use a straightedge to draw lines through points I and J and extend them until they intersect. Label this intersection point L.

7. Finally, use a straightedge to draw lines through points K and L, as well as points C and D. These lines will intersect at point M, which will be the fourth vertex of the square.

Now constructed a square with sides equal to the length of line segment AB using only a compass and straightedge.

To learn more about  vertices

https://brainly.com/question/3050890

#SPJ11

if their corresponding angles are congruent and the corresponding sides are in proportion ...so it will be similar triangle

It would require 60 Joules of work to lift up one end of the rope to a height of 3 meters.

The amount of work required to lift up one end of a 5-meter rope to a height of 3 meters can be calculated using the formula:

Work = Force x Distance

Here, the force required to lift the rope is equal to half its weight since we are only lifting one end. Hence, the force required is:

Force = Weight/2

= 40/2

= 20 N

The distance moved is equal to the height to which the rope is lifted, which is 3 meters.

So, the amount of work required is:

Work = Force x Distance

= 20 x 3

= 60 Joules

Therefore, it would require 60 Joules of work to lift up one end of the rope to a height of 3 meters.

To know more about work visit:

https://brainly.com/question/18094932

#SPJ11

Let's begin by identifying key information given to us:

Principal (p) = $690

Interest rate (r) = 7% = 0.07 per year

Time (t) = 8 years

The amount of money that Ji-yoon has in 8 years is calculated as shown below:

Step-by-step explanation:

Probably a cylinder would work best

volume of a cylinder = pi r^2 h