If a distribution is skewed to the left, what is the relationship between the mean and the
median?

Answer:

-4

Step-by-step explanation:

To find the slope, you can use the formula y2-y1/x2-x1. Plugin any set of values. Say 13 is y2, and 5 is y1. 13-5=8. We now have 8/x2-x1. You have to use the x-values of the y-values that you already used. -2 is x2 and 0 is x1. -2-0=-2. 8/-2 = -4.

Answer:

$229.50

Step-by-step explanation:

Given;

The price of one pair of shorts is $45.00.

There is a 15% discount if you purchase four or more pairs

To FInd;

What is the total cost, before tax, for six pairs of shorts?

Solve:

Since one pair of shorts is $45

Then six pairs of shorts =

$45 x 6 = $270

Now it also says "There is a 15% discount if you purchase four or more pairs". So we buy six pairs thus, it more than four.

Hence,

$270 x 15% = 40.50

$270 - 40.50 = 229.50

Hence, Answer = $229.50

~Learn with Lenvy~

Answer:

7.5 - 3.8 = m

Step-by-step explanation:

The volume of iron needed to create the rectangular prism is approximately 28650.5 cubic cm.

what is volume?

Volume is the amount of space occupied by a three-dimensional object. It is a measure of how much an object can hold or how much space it takes up. The volume of a solid object is typically measured in cubic units, such as cubic centimeters (cm³) or cubic meters (m³).

The volume of the rectangular prism without the cylinder can be calculated as:

\($$V_1 = A \times h$$\)

where A is the base area and h is the height

\($$V_1 = 2250 \times 100$$\)

\($$V_1 = 225000 \ \text{cubic cm}$$\)

The volume of the cylinder can be calculated as:

\($$V_2 = \pi r^2 h$$\)

where r is the radius and h is the height

\($$V_2 = \pi \times 25^2 \times 100$$\)

\($$V_2 = 196349.54 \ \text{cubic cm}$$\)

The volume of the rectangular prism with the cylinder missing can be calculated as:

\($$V = V_1 - V_2$$\)

\($$V = 225000 - 196349.54$$\)

\($$V = 28650.46 \ \text{cubic cm}$$\)

Therefore, the volume of iron needed to create the rectangular prism with a base area of 2250 square cm, a cylinder missing through the center of the prism with a radius of 25 cm, and the height of the cylinder and the prism being 100 cm, is approximately 28650.5 cubic cm (rounded to the nearest tenth of a cubic cm).

To learn more about volume visit:

https://brainly.com/question/463363

#SPJ1

Answer:

v=20π ft/s

Step-by-step explanation:

Given:

Distance from the security car to the movie theater, D=25 ft

Distance of the reflection from the car, d=30 ft

Speed of rotation of the strobe lights, 2 rev/s

To find the speed at which the reflection of the security strobe lights is moving along the wall of the movie theater, we need to calculate the linear velocity of the reflection when it is 30 ft from the car.

We can start by finding the angular velocity in radians per second. Since the strobe lights rotate at 2 revolutions per second, we can convert this to radians per second.

ω=2πf

=> ω=2π(2)

=> ω=4π rad/s

The distance between the security car and the reflection on the wall of the theater is...

r=30-25= 5 ft

The speed of reflection is given as (this is the linear velocity)...

v=ωr

Plug our know values into the equation.

v=ωr

=> v=(4π)(5)

∴ v=20π ft/s

Thus, the problem is solved.

The speed of the reflection of the security strobe lights along the wall of the movie theater is 2π ft/s.

To solve this problem, we can use the concept of related rates. Let's consider the following variables:

x: Distance between the security car and the movie theater wall

y: Distance between the reflection of the security strobe lights and the security car

θ: Angle between the line connecting the security car and the movie theater wall and the line connecting the security car and the reflection of the strobe lights

We are given:

x = 25 ft (constant)

y = 30 ft (changing)

θ = 2 revolutions per second (constant)

We need to find the speed at which the reflection of the security strobe lights is moving along the wall (dy/dt) when the reflection is 30 ft from the car.

Since we have a right triangle formed by the security car, the movie theater wall, and the reflection of the strobe lights, we can use the Pythagorean theorem:

x^2 + y^2 = z^2

Differentiating both sides of the equation with respect to time (t), we get:

2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)

Since x is constant, dx/dt = 0. Also, dz/dt is the rate at which the angle θ is changing, which is given as 2 revolutions per second.

Plugging in the known values, we have:

2(25)(0) + 2(30)(dy/dt) = 2(30)(2π)

Simplifying the equation, we find:

60(dy/dt) = 120π

Dividing both sides by 60, we get:

dy/dt = 2π ft/s

For more such question on speed. visit :

https://brainly.com/question/26046491

#SPJ8

y=-1/5x+4 is the equation in slope-intercept form for the line with y-intercept 4 and slope -1/5

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given,

y-intercept 4 and slope -1/5

Now y=-1/5x+4

Hence y=-1/5x+4 is the equation in slope-intercept form for the line with y-intercept 4 and slope -1/5

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ1

In linear equation,the number of customers who will pay by debit card will be 88.97.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                    The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times. Known as a linear equation, this type of equation has a highest power of one for each variable.

Last week there were

87 + 24 + 7 = 118 customers.

That means that the fraction of the customers, who paid by debit card, was

7/118  

In situations like that, when we use historical data and try to predict future behaviour, we use that past experience and extrapolate to a predicted result.

we simply say that we expect the same fraction, 7/118 if customers use credit cards

for the absolute number of predicted debit  card customers we multiply the predicted number of customers by the expected fraction

1500  × 7 / 118 = 88.97

Therefore the number of customers who will pay by debit card will be 88.97.

Learn more about linear equation

brainly.com/question/11897796

#SPJ1

Answer:

x < 12

Step-by-step explanation:

5(x + 5) < 85 ( divide both sides by 5 )

x + 5 < 17 ( subtract 5 from both sides )

x < 12

The only kind of data generated by observational research is correlations or patterns in the data that have been observed. By using correlations, one variable's value can be used to predict the value of another.

Explanation:

Accurate predictions using data correlation can be ensured by using a variety of methods. Firstly, it is important to ensure that the data is free from errors and is of high quality. This can be done by cleaning and validating the data to remove any inconsistencies and outliers. Secondly, it is important to analyze the data thoroughly and identify any patterns or trends. Furthermore, it is beneficial to use appropriate statistical tests and algorithms such as linear regression, logistic regression, and decision trees to identify the predictive relationships between the variables. Finally, it is important to evaluate the model’s performance to determine the accuracy of the predictions.

The most effective methods for ensuring accurate predictions using data correlation are:

1. Perform Exploratory Data Analysis: Exploratory data analysis is an essential step in any predictive modeling process. It involves exploring the data to identify patterns, trends, and relationships within the data. This helps to identify any potential issues or biases within the data that could affect the accuracy of predictions.

2. Use Statistical Tests: Statistical tests can be used to measure the strength of the relationship between two variables. These tests can help to identify which variables are most strongly correlated with each other and can help to determine which variables should be used in a predictive model.

3. Use Machine Learning Algorithms: Machine learning algorithms can be used to create predictive models that can identify and learn patterns in the data. These algorithms are particularly effective at identifying complex relationships between variables that may not be identified by statistical tests.

4. Validate Predictions: Predictions should always be validated to ensure that they are accurate and reliable. This can be done by comparing the predictions against known outcomes or by testing the model on a separate data set.

To know more about prediction visit here:

https://brainly.com/question/19267918

#SPJ4

Answer:

x = k/6 - 50/3

Step-by-step explanation:

K=6x+100

--> Swap sides so that all variable terms are on the left hand side.

6x+100=k

--> Subtract 100 from both sides.

6x=k−100

--> Divide both sides by 6.

6x/6 = k-100/6

--> Dividing by 6 undoes the multiplication by 6.

x = k-100/6

--> Divide k−100 by 6.

Answer : x = k/6 - 50/3

Hope this helps you!

Answer: 6x=40

x=40/6

x=6+2/3

Step-by-step explanation: hope this helps!!!

Step-by-step explanation:

4.50+1.50=55-15

6=40 ........

The standard error of the sample proportion increases as the sample size decreases is true.- option A

Standard error refers to the variation between the sample and population statistics. The standard error of the sample proportion is inversely proportional to the sample size. This means that when the sample size decreases, the standard error of the sample proportion increases.

When the sample size increases, the standard error of the sample proportion decreases. When the sample size is small, the standard error of the sample proportion is large, and when the sample size is large, the standard error of the sample proportion is small.

In general, the standard error of the sample proportion is inversely proportional to the square root of the sample size. It is denoted by SEp.

Hence, the given statement  is true. and option is A

To learn more on Standard error :

https://brainly.com/question/1191244

#SPJ11

the probability of the event that  a sample of 5 cans will have a meaningful amount of at least 12.13 oz is 0.0078

We are provided with the information that cans of coke are filled in the account of having normal distribution, with the provided means which is  12.00 oz and the standard deviation of 0.12 oz and the sample size is

n= 5.

let X be the sample mean, so the probability will be :

P(X\(\geq\) 12.13) = 1- P(X<12.13)

               =1-  P(X-(μ/(σ/\(\sqrt{n}\))) < (12.13 -12.00)/(0.12/\(\sqrt{5}\)))

            = 1- P(z<2.42)

            = 1-0.9922

           =0.0078

to know more about the probability refer to the link https://brainly.com/question/6317199?referrer=searchResults.

#SPJ4

Cans of regular Coke are labeled as containing 12 oz. Statistics students weighted the content of 5 randomly chosen cans, and found the mean weight to be 12.13. Assume that cans of Coke are filled so that the actual amounts are normally distributed with a mean of 12.00 oz and a standard deviation of 0.12 oz. Find the probability that a sample of 5 cans will have a mean amount of at least 12.13 oz.

Answer:

$2.09

Step-by-step explanation:

1.95*70%= 1.365 mark up

1.95+1.37= 3.32 price

3.32*40% discount= 1.328

3.32-1.33 discount= 1.99 price

1.99*5% tax= .0995 tax

1.99+0.10 tax= 2.09 total price

Different types of integer models refer to different formulations and restrictions applied to the variables in mathematical optimization problems. Here are brief explanations of three commonly used types of integer models: total integer model, 0-1 integer model, and mixed integer model.

1. Total Integer Model: In a total integer model, all variables are required to take integer values. This means that the solution must consist of only whole numbers, without any fractional or decimal values. For example, if a variable represents the number of units to produce, a total integer model would ensure that only whole units can be produced.

2. 0-1 Integer Model: In a 0-1 integer model, the variables are binary and can only take two values: 0 or 1. This formulation is often used for decision variables that represent choices or binary decisions, such as selecting or not selecting a particular option. For example, in a facility location problem, a 0-1 integer variable can represent whether a facility is open (1) or closed (0).

3. Mixed Integer Model: A mixed integer model allows a combination of integer and continuous variables in the optimization problem. Some variables can take fractional or decimal values (continuous), while others must take integer values. This formulation is useful when there is a need to model both discrete decisions and continuous quantities in the same problem. For example, in a production planning problem, the number of machines (integer) and the amount of raw material used (continuous) can be decision variables in a mixed integer model.

Learn more about integer models here: brainly.com/question/30388078

#SPJ11

Answer: Option B

Step-by-step explanation:

By definition, the ratio is a comparison between two different things. It can be written in:

Odd notation

\(a:b\)

Fractional notation

\(\frac{a}{b}\)

Or in words:

\(a\) \(to\) \(b\)

Given the ratio 3 to 4 and the ratio of 4 to 3, you can rewrite them the fractional form:

\(\frac{3}{4}\)

\(\frac{4}{3}\)

To know if these ratios are the same number, divide the numerator by the denominator of each one of them:

\(\frac{3}{4}=0.75\)

\(\frac{4}{3} =1.33\)

Therefore, the ratio of 3 to 4 and the ratio of 4 to 3 ARE NOT the same number.

The absolute value is:

Work/explanation:

First, we will evaluate 2-7.

It evaluates to -5.

Now, let's find the absolute value of -5 by using these rules:

\(\sf{\mid a\mid=a}\)

\(\sf{\mid-a \mid=a}\)

Similarly, the absolute value of -5 is:

\(\sf{\mid-5\mid=5}\)

Based on the amount both have and the amount being saved per day, they will both have the same amount after 2 days.

Roger has $3 and is saving $1 per day. An equation to express the amount he would have after a n number of days is:

= Amount he already has + Amount saved per day x number of days

= 3 + 1n

For Elizabeth, this expression would be:

= 4 + 0.50n

Solve for n by equating both formulas:

3 + n = 4 + 0.5n

n - 0.5n = 4 - 3

0.5n = 1

n = 1/0.5

n = 2 days

In conclusion, they will have the same amount after 2 days.

Find out more at https://brainly.com/question/11549465.

Answer:  NO/MN   =     QR/PQ

Answer:

\(\frac{NO}{MN}\) = \(\frac{QR}{FQ}\)

Step-by-step explanation:

∠ 0 ≅ ∠ R and ∠ M ≅∠ F

thus Δ NOM ≅ ∠ QRF ( by the AA postulate )

the ratios of corresponding sides are in proportion, so

\(\frac{NO}{MN}\) = \(\frac{QR}{FQ}\)

Answer:

74

Step-by-step explanation:

All three angles will equal 180 degrees.

59+47=106

180-106=74

Answer:

52 cm

Step-by-step explanation:

Using pythagoras theorem

hypothenuos² = adjacent² + opposite²

\( {x}^{2} \: = \: {48}^{2} + {20}^{2} \\ {x}^{2} \: = \: 2304 + 400 \\ {x}^{2} \: = \: 2704 \\ x \: = \: \sqrt{2704} \\ x \: = \: 52cm\)

Answer: True, if it is on a coordinate grid.

Step-by-step explanation:

1000 cubic centimeters would need to be placed in a tub of water to displace 1 Lter of water

Conversion of units simply refers to the method used in determining the equivalent of one unit in relation to another.

From the information given, we have that;

Number of cubic centimeters that would be placed in a tub of water to displace 1 L of water

So, we have that there is 1 liter of water in the tub

In order to displace, you need to put something in that is the same amount

Now, let's convert the units

1 liter = 1000 cubic cm

Hence, you need 1000 cubic cm to displace 1 liter

Learn more about conversion of units at: https://brainly.com/question/141163

#SPJ1

41/7 is approximately 5.86

5.86 is greater than 1

Therefore, 41/7 as a fraction IS greater than one.

Hopefully, that helped! :)

Answer: 12 Cloves of Garlic

Step-by-step explanation:

You can set this up as a fraction, we can use \(\frac{3}{17\\}\) to show what she normally uses, and we can use \(\frac{x}{68}\) for the amount of garlic cloves she needs over the amount of chick peas she is using.Then you can cross multiply. Your equation would then be \(17x = 204\). Lastly we need to get x by itself. \(\frac{17x}{17} = \frac{204}{17}\)  This equation would simplify to \(x = 12\), which is the amount of garlic cloves she needs.

You could also set this up as a ratio, so for every 3 cloves she needs 17 ounces of chick peas. You would just divide 68 by 17 then multiply the quotient by 3.

Answer:

trure correct

ok must of luck

Answer:

Natalie will have \(1\frac{43}{56}\) jars of coins all together after receiving John's coins.

Step-by-step explanation:

Given that:

Coins Natalie have = \(1\frac{1}{8}\) jars of coins

Coins John have = \(\frac{9}{14}\) jars of coins

When John will give all his coins to Natalie.

Total coins Natalie have = Her coins + John's coins

Total coins Natalie have = \(1\frac{1}{8}+\frac{9}{14}\)

Total coins = \(\frac{9}{8}+\frac{9}{14}\)

Total coins =\(\frac{63+36}{56}=\frac{99}{56}\)

Total coins = \(1\frac{43}{56}\)

Hence,

Natalie will have \(1\frac{43}{56}\) jars of coins all together after receiving John's coins.

Answer:

A.  (x · 60) + (x · 5)

Step-by-step explanation:

Answer:

A. (x · 60) + (x ·5)

Step-by-step explanation:

Equation A is simplified to 65x, which is equivalent to x ·65.

Equation B is simplified to 11x.

Equation C is simplified to x + 30.

Equation D is simplified to 6x+5.

Answer: 4 or x=−4

Step-by-step explanation: