Choose the best description

a. The mean is -0.6, the median is 4, and there is no mode in the data set.

b. The range is 15, the variance is 35.2, the standard deviation is approximately 5.93, and the coefficient of variation is approximately -0.988.

c. The Z-scores for the data set are -0.68, -1.69, -0.68, -0.68, and 1.37. There are no outliers as none of the Z-scores exceed the threshold of ±3.

d. The shape of the data set is skewed to the left, indicating a negative skewness.

a. To calculate the mean, we sum up all the values and divide by the sample size:

Mean = (4 - 9 - 4 + 4 + 6) / 5 = -0.6

The median is the middle value when the data is arranged in ascending order:

Median = 4

The mode is the value that appears most frequently, but in this data set, none of the values are repeated, so there is no mode.

b. The range is calculated by finding the difference between the maximum and minimum values:

Range = Maximum value - Minimum value = 6 - (-9) = 15

The variance measures the average squared deviation from the mean:

Variance = ((4 - (-0.6))^2 + (-9 - (-0.6))^2 + (-4 - (-0.6))^2 + (4 - (-0.6))^2 + (6 - (-0.6))^2) / (5 - 1) = 35.2

The standard deviation is the square root of the variance:

Standard Deviation ≈ √35.2 ≈ 5.93

The coefficient of variation is the standard deviation divided by the mean, expressed as a percentage:

Coefficient of Variation ≈ (5.93 / 0.6) × 100 ≈ -0.988

c. The Z-score measures how many standard deviations a data point is away from the mean. To calculate the Z-scores, we subtract the mean from each data point and divide by the standard deviation:

Z1 = (4 - (-0.6)) / 5.93 ≈ -0.68

Z2 = (-9 - (-0.6)) / 5.93 ≈ -1.69

Z3 = (-4 - (-0.6)) / 5.93 ≈ -0.68

Z4 = (4 - (-0.6)) / 5.93 ≈ -0.68

Z5 = (6 - (-0.6)) / 5.93 ≈ 1.37

Since none of the Z-scores exceed the threshold of ±3, there are no outliers in the data set.

d. The shape of the data set can be determined by analyzing the skewness. A negative skewness indicates that the data is skewed to the left, which means that the tail of the distribution extends towards the lower values. In this case, the negative skewness suggests that the data set is skewed to the left.

To know more about mean , visit

https://brainly.com/question/1136789

#SPJ11

The area under the standard normal curve between z = -1.15 and z = 2.84 is 0.8726.

To find the area under the standard normal curve between z = -1.15 and z = 2.84, we need to use a standard normal distribution table or a calculator.

Alternatively, we can use a software program such as R or Python to find the area.

Using a standard normal distribution table, we can find the areas to the left of z = -1.15 and z = 2.84, and then subtract the smaller area from the larger area to find the area between the two z-values.

From the table, we find:

The area to the left of z = -1.15 is 0.1251

The area to the left of z = 2.84 is 0.9977

Therefore, the area between z = -1.15 and z = 2.84 is:

0.9977 - 0.1251 = 0.8726

Rounding this to four decimal places, we get the final answer of 0.8726. Therefore, the area under the standard normal curve between z = -1.15 and z = 2.84 is 0.8726.

Learn more about standard normal curve

brainly.com/question/28971164

#SPJ11

Answer: yes because they both go to the 0 and has the same shape.

Step-by-step explanation: yes

The ratio of boy to girl who play kickball at race is 6 to 2. There are 18 girl on the team. the number of boys who play kickball at race is 12 boys.

The ratio of boy to girl who play kickball at race is 6 to 2

6 boys: 2 girls

Multiply the number of girls by the ratio:

18 girls x (6 boys / 2 girls) = 18 x 3 = 54

Subtract the number of girls from the total to get the number of boys:

54 - 18 = 36

Therefore, there are 12 boys who play kickball at race.

Learn more about ratio here

https://brainly.com/question/13419413

#SPJ4

The annual tax payment for an employee at the 40% tax rate who does not make a financial contribution towards an executive car would be $20,000.

You need to know the employee's taxable income to determine the annual tax payment for a worker paying a 40% tax rate who does not contribute financially to an executive automobile.

Assume the employee does not receive any deductions or allowances, and their taxable income is $50,000 per year.

You must first determine their gross income tax, which is the amount of tax they would pay if their whole taxable income were subject to a 40% tax.

Gross Income Tax = Taxable Income x Tax Rate

Gross Income Tax = $50,000 x 0.4 = $20,000

Then, take away any deductions or allowances to which the employee is entitled. The employee's net income tax in this instance is equal to their gross income tax because it is assumed that they are not eligible for any deductions or allowances.

Therefore, the annual tax payment for an employee at the 40% tax rate who does not make a financial contribution towards an executive car would be $20,000.

Learn more about Tax:

https://brainly.com/question/28735352

#SPJ4

The complete question is -

What is the annual tax payment for an employee at the 40% tax rate who does not make a financial contribution towards an executive car and earns taxable income of $50,000 per year?

Answer:

a. length and width

Step-by-step explanation:

option a is correct answer

Answer:

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Elizabeth's July finance charge will be $11.80 (option c).

To calculate Elizabeth's finance charge using the previous balance method, determine the average daily balance for the billing cycle and then calculate the finance charge based on the average daily balance and the APR.

Calculate the number of days between each transaction:

7/3 - 7/1 = 2 days

7/10 - 7/3 = 7 days

7/12 - 7/10 = 2 days

7/28 - 7/12 = 16 days

Calculate the average daily balance:

From 7/1 to 7/3 (2 days): $969.26

From 7/3 to 7/10 (7 days): $969.26 - $45.00 = $924.26

From 7/10 to 7/12 (2 days): $924.26 + $67.48 = $991.74

From 7/12 to 7/28 (16 days): $991.74 - $20.00 = $971.74

From 7/28 to the end of the billing cycle (2 days): $971.74 - $85.00 = $886.74

Average daily balance = (2 × $969.26 + 7 × $924.26 + 2 × $991.74 + 16 × $971.74 + 2 × $886.74) / 30 = $942.57

Calculate the finance charge:

Finance charge = (Average daily balance × APR × billing cycle days) / 365

Finance charge = ($942.57 × 0.1461 ×30) / 365 = $11.80

To know more about finance here

https://brainly.com/question/30502952

#SPJ4

Answer:

A) y= -1.4x + 13

Step-by-step explanation:

use the graphing app desmos it makes your life easier

The table of values is a linear equation which is given as y = -7/2x + 2

A linear function is a mathematical function that represents a straight line when graphed on a coordinate plane. It is a type of function where the independent variable (usually denoted as x) has a constant rate of change with respect to the dependent variable (usually denoted as y).

The slope-intercept form of a linear equation is given as;

y = mx + c

From the table of value given;

f(x) = mx + c

Let's calculate the slope of the equation;

m = y₂ - y₁ / x₂ - x₁

m = 2 - 9 / 0 - (-2)

m = -7 / 2

The slope is -7/2

Taking the slope to find the linear equation;

y = mx + c

Taking any point;

9 = -7/2(-2) + c

9 = 7 + c

c = 2

The equation is y = -7/2 + 2

Taking another point to confirm our answer;

2 = -7/2(0) + c

c = 2

This shows the values is a linear equation;

learn more on linear equations here;

https://brainly.com/question/18831322

#SPJ1

COUNTIF functions are used to return the count of cells specified by a set of conditions in the selected range.

The COUNTIF Function  will count the number of cells that meet a specific criterion. The function is categorized under Excel Statistical functions. A function is a predefined formula that performs calculations using specific values in a particular order. • The COUNTIF function in Excel counts the number of cells in a range that match one supplied condition. • Criteria can include logical operators (>,<,<>,=) and wildcards (*,?). • COUNTIF requires a cell range. • COUNTIF only supports a single condition • COUNTIFS function is used to support multiple criteria. • COUNTA function is used to count only the cells that have data. • The COUNT function is used to get the number of entries in a number field that is in a range or array of numbers.

Thus, option (d),COUNTIF function are used to return the count of cells specified by a set of conditions in the selected range.

To learn more about Function :brainly.com/question/21145944

#SPJ4

Answer:

861.56 km2

Step-by-step explanation:

the formula for the area of a trapazoid is

a= (a+b/2) + h

Answers:

[-5, -2]

(-2, 3]

(3, 6]

=====================================================

Explanation:

This piecewise function is made of 3 separate functions of...

f(x) = 5 when  \(-5 \le \text{x} \le -2\)

f(x) = 4 when \(-2 < \text{x} \le 3\)

f(x) = -3 when \(3 < \text{x} \le 6\)

--------

The interval \(-5 \le \text{x} \le -2\) turns into the interval notation [-5, -2]

Use square brackets to include each endpoint. Each endpoint is included because of the closed filled in points.

In contrast, the interval \(-2 < \text{x} \le 3\) has an open hole at -2 and so it turns into (-2, 3]

A similar situation happens with the interval \(3 < \text{x} \le 6\) to become (3, 6]

Answer:

\(a. \ \dfrac{625 \cdot m}{27 \cdot n^{11}}\)

\(b. \ \dfrac{x^{3 \cdot m - 2}}{y^{ 3 + n}}\)

Step-by-step explanation:

The question relates with rules of indices

(a) The give expression is presented as follows;

\(\dfrac{m^3 \times \left (n^{-2} \right )^4 \times (5 \cdot m)^4}{\left (3 \cdot m^2 \cdot n \right )^3}\)

By expanding the expression, we get;

\(\dfrac{m^3 \times n^{-8} \times 5^4 \times m^4}{\left 3^3 \times m^6 \times n^3}\)

Collecting like terms gives;

\(\dfrac{m^{(3 + 4 - 6)} \times 5^4}{ 3^3 \times n^{3 + 8}} = \dfrac{625 \cdot m}{27 \cdot n^{11}}\)

\(\dfrac{m^3 \times \left (n^{-2} \right )^4 \times (5 \cdot m)^4}{\left (3 \cdot m^2 \cdot n \right )^3}= \dfrac{625 \cdot m}{27 \cdot n^{11}}\)

(b) The given expression is presented as follows;

\(x^{3 \cdot m + 2} \times \left (y^{n - 1} \right )^3 \div (x \cdot y^n)^4\)

Therefore, we get;

\(x^{3 \cdot m + 2} \times \left (y^{n - 1} \right )^3 \times x^{-4} \times y^{-4 \cdot n}\)

Collecting like terms gives;

\(x^{3 \cdot m + 2 - 4} \times \left (y^{3 \cdot n - 3 -4 \cdot n}} \right ) = x^{3 \cdot m - 2} \times \left (y^{ - 3 -n}} \right ) = x^{3 \cdot m - 2} \div \left (y^{ 3 + n}} \right )\)

\(x^{3 \cdot m - 2} \div \left (y^{ 3 + n}} \right ) = \dfrac{x^{3 \cdot m - 2}}{y^{ 3 + n}}\)

\(x^{3 \cdot m + 2} \times \left (y^{n - 1} \right )^3 \times x^{-4} \times y^{-4 \cdot n} =\dfrac{x^{3 \cdot m - 2}}{y^{ 3 + n}}\)

Answer:

B = (6, -6)

Step-by-step explanation:

(2+x)/2=4

2+x =2*4

x = 8 - 2

x = 6

(8+y)/2 = 1

8+y = 1*2

y = 2 - 8

y = - 6

Answer:

r = 0.8

Step-by-step explanation:

The correlation coefficient, "r", represents the correlation between the independent and dependent variable. The closer "r" is to 1, the better the correlation. Likewise, if "r" is closer to 0, there will be hardly any correlation.

The coefficient of determination, R², is the proportion of the variation in the dependent variable that is predictable from the independent variable, or how well the data fits the regression model.

In this case, since R²=64%=0.64, then r=√(0.64)=0.8

This means that there is a strong correlation between age and height.

Answer:

A

Step-by-step explanation:

it's so hard to explain but I'm pretty sure A is the answer

If the composite functions f(g(x)) and g(f(x)) both equal to x, then the function g is the Inverse function of f.

A function that can reverse into another function is known as an inverse function or anti-function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y. 

Let us take the Example.

Suppose f(x)= x/4 and g(x)=4x.

Let x=1

then f(g(x))= f(g(1))=f(4)=1

and g(f(x))=g(f(1))=g(1/4)=1

Here, f(g(x))=g(f(x))=1

Therefore , we can say that f(g(x)) and g(f(x)) are inverse of each other.

To know more about Inverse of  a function Visit:

https://brainly.com/question/2541698

#SPJ4

The definite value for p is 9.

But how are 8, 7, or 6 the value of p?

I personally think that you should contact the teacher who made this question. He/She probably meant to say What IS the value for p?

You use algebra to get the value for p:

20p-45 = 9p + 5p

Start solving from there.

The flipping of a coin to decide heads or tails, lottery numbers selected by numbered balls, a roulette wheel in a casino, and a hand dealt in a poker game is an example of random device method.

A random device is a device that generates random numbers or other random phenomena such as rolling a die, shuffling a deck of cards, or selecting lottery numbers. In experiments or studies that use probability sampling techniques, researchers typically use a random device to select participants.

This ensures that every member of the population has an equal chance of being selected for the sample.When designing surveys, researchers must consider the type of random sampling technique that they will use. A random sampling method is a way of selecting a sample that ensures that every member of the population has an equal chance of being selected.

When random sampling is used, the sample is more likely to be representative of the population as a whole.

for such more question on random device

https://brainly.com/question/29973071

#SPJ11

Answer:

£164.50

Step-by-step explanation:

If the discount is 6%, then the discounted price is 94% of the original price.

95% of £175 = 0.94 × £175 = £164.50

Answer:

A, B and E

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Games played on Friday = 2 1/2

Games played on Saturday = 3 1/2

Total Games played = Games on Friday + Games on Saturday

= \(2\frac{1}{2}+3\frac{1}{2}\)

These are mixed fractions. To covert them into 'normal fractions' there are two steps:

1. Multiple denominator by the whole number

2. add numerator to the product

\(2\frac{1}{2} = \frac{5}{2} \\3\frac{1}{2} = \frac{7}{2} \\\frac{5}{2} + \frac{7}{2}\)

now because denominator is the same, simply add the numerators so the answer is \(\frac{12}{2} \\=6\)

Answer:

Step-by-step explanation:

Because the cosine is a positive function from which we can deduce                   \(\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\dddddd \displaystyle \Large \boldsymbol{Rule : cos(-\alpha)=cos\alpha } \\\\\\ \cos\bigg(\frac{-3\pi }{4} \bigg)=cos135=-sin45=-\frac{\sqrt{2} }{2} \\\\\\cos\bigg(\frac{5\pi }{4} \bigg)=cos225=-sin45=-\frac{\sqrt{2} }{2}\)                            Therefore, they are equal                      

Answer:

17x1-4+183

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

x-value is width and y-value is height. Therefore if you multiply the height x width you get the constant.

The value of the constant in the equation is 100.

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

Given that, Height=Constant/Width

1) (4, 25)

Here, Height = 25 and Width = 4

25 = Constant/4

Constant = 100

2) (5, 20)

Here, Height = 20 and Width = 5

20 = Constant/5

Constant = 100

3) (10, 10)

Here, Height = 10 and Width = 10

10 = Constant/10

Constant = 100

4) (20, 5)

Here, Height = 20 and Width = 5

20 = Constant/5

Constant = 100

Therefore, the value of the constant in the equation is 100.

To learn more about the graph visit:

brainly.com/question/14375099.

#SPJ7

Answer:

x = \(\frac{k+9}{y}\)

Step-by-step explanation:

Given

xy - 9 = k ( add 9 to both sides )

xy = k + 9 ( isolate x by dividing both sides by y )

x = \(\frac{k+9}{y}\)