Which of the following variables are categorical?
I. Driver ID
II. Age
III. Car
IV. Gender
Answers
Answer: IV. Gender
Step-by-step explanation:
A categorical variable is a variable that has two or more categories.
Driver ID consists of numbers and alphabet and it has no category.
Age is expressed in numbers , it cannot be categorical.
Car has many types but not category.
Gender has mainly 2 categories as male and female (some times 3 if we include transgender)
So, Gender is a categorical variable.
So correct option is IV. Gender
Related Questions
A bucket contains 72 red, 48 blue, 48 green, and 48 yellow crayons. The art teacher also has 120 pieces of drawing paper. What is the largest number of identical kits the art teacher can make with all of the crayons and all of the paper?
Answers
The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.
To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.
The GCD represents the largest number that can divide all the quantities without leaving a remainder.
The GCD of the quantities of crayons can be found by considering the prime factorization:
72 = 2³ × 3²
48 = 2⁴ × 3
48 = 2⁴ × 3
48 = 2⁴ × 3
The GCD of the crayons is 2³ × 3 , which is 24.
Now, we need to find the GCD of the quantity of drawing paper:
120 = 2³ × 3 × 5
The GCD of the drawing paper is also 2³ × 3 , which is 24.
Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.
Each kit would contain an equal distribution of crayons and drawing paper.
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NO LINKS ONLY ANSWERS (25 POINTS)
Arrange the equations in the correct sequence to rewrite the formula for displacement, d=vt-1/2at^2, to find a. In the formula, d is displacement, v is final velocity, a is acceleration, and t is time.
There is a total of 3 answer slots.
Answers
Answers:
d = v(initial)t + 1/2(at^2)
v(final) = √(v(initial)^2 + 2ad)
a = 2(d-v(initial)t) / t^2
t = -v(initial)±√(v(initial)^2 + 2ad) / a
Answer:
1. vt-d=1/2at^2
2. d-vt=1/2at^2
3. a=2(d-vt)/t^2
Step-by-step explanation:
On average, Clark makes 7 out of 10 free throws that he shoots. If he shoots 30 free throws, how many baskets will he make?
Answers
Answer: 21
Step-by-step explanation:
7/10*30 or 21
Installation of a certain hardware takes a random amount of time with a standard deviation of 7 minutes. A computer technician installs this hardware on 50 different computers. These times are given in the accompanying dataset. Compute a 95% confidence interval for the mean installation time. Round your answers to two decimal places and use ascending order. 21 37 36 34 46 38 30 30 37 46 54 47 34 25 60 46 50 56 24 59 31 51 52 34 59 37913856248111505 24534545545333463
Answers
The mean installation time is either (40.78 or 44.66)
What is mean?Mean is an essential mathematical and statistical concept. The mean is the average or most frequent value among a set of numbers.
It is a measure of the central tendency of a probability distribution based on the median and the mode. It is also known as the expected value.
It is a statistical concept with significant importance in finance. The concept is utilized in a variety of financial fields, such as portfolio management and business valuation.
Calculation: From data \(mean = \frac{summation(x)}{n}\) = \(42.72\) from the all data given.95% confidence interval for u{\({\alpha =0.005, Z_{0.025} =1.96}\)} and mean±\(Z\alpha _{12} \frac{sigma}{\sqrt{n} }\) =\(42.72\)±\(1.96.\frac{7}{\sqrt{50} }\)Therefore the mean installation times are either 40.78 or 44.66.
The mean installation time is either (40.78 or 44.66)
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Answer: (40.76,44.64)
Step-by-step explanation:
Correct answers:
$\left(40.76,\ 44.64\right)$
A 95% confidence interval for μ is (x¯−zα/2σn−−√,x¯+zα/2σn−−√). Here, α=0.05, σ=7, and n=50. Use Excel to calculate the 95% confidence interval.
1. Open Excel, enter the given data in column A, and find the sample mean, x¯, using the AVERAGE function. Thus, the sample mean is x¯=42.7.
2. Click on any empty cell, enter =CONFIDENCE.NORM(0.05,7,50), and press ENTER.
3. The margin of error, rounded to two decimal places, is zα/2σn−−√≈1.94. The confidence interval for the population mean has a lower limit of 42.7−1.94=40.76 and an upper limit of 42.7+1.94=44.64.
Thus, the 95% confidence interval for μ is (40.76,44.64).
Question 5(Multiple Choice Worth 2 points)
(Sample Spaces LC)
A paper bag has seven colored marbles. The marbles are pink, red, green, blue, purple, yellow, and orange. List the sample space when choosing one marble.
A s= (1, 2, 3, 4, 5, 6
B s=(purple, pink, red, blue, green, orange, yellow}
C s=(g. r, b. y. o, p)
D s= (green, blue, yellow, orange, purple, red)
Answers
The sample space when choosing one marble will be B s=(purple, pink, red, blue, green, orange, yellow}
What is sample space?A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample space may contain a variety of outcomes.
A paper bag has seven colored marbles. The marbles are pink, red, green, blue, purple, yellow, and orange. The sample space when choosing one marble will be all the colors. The correct option is B.
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If anyone can help me with this it will be greatly appreciated.
Answers
Answer:
it is a triangular prism .
Answer:
Triangular Prism
6 vertices
Step-by-step explanation:
foreign direct investment helps improve the economic situation of a recipient country by increasing —- opportunities in the country that the company invests in.
Answers
Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.
When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.
Increased employment opportunities result in more individuals having access to income and improved standards of living.
Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.
Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.
Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.
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Find the exact value of (7\pi )/(6)) by using the unit circle.
Answers
To find the exact value of (7π/6) using the unit circle, locate the angle (π/6) on the unit circle in the second quadrant, determine the coordinates, and adjust the y-coordinate to be negative. The final answer is (√3/2, -1/2). This answer is obtained by understanding the reference angle and using the coordinates of the point where the angle intersects the unit circle.
To find the exact value of (7π/6) using the unit circle, follow these steps:
1. Start by understanding the reference angle. The reference angle for (7π/6) is (π/6).
2. Locate the angle (π/6) on the unit circle. This angle lies in the second quadrant.
3. Determine the coordinates of the point where the angle intersects the unit circle. For (π/6), the x-coordinate is √3/2 and the y-coordinate is 1/2.
4. Since (7π/6) lies in the second quadrant, the x-coordinate will remain the same, but the y-coordinate will be negative. Therefore, the coordinates for (7π/6) are (√3/2, -1/2).
5. The exact value of (7π/6) is (√3/2, -1/2).
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What is the surface area of the triangular prism???
I really need an answer to this. My math test is tomorrow and I really need to be prepared!
Answers
The surface area of the triangular prism is B. 1,008 \(cm^{2}\)
What is Triangular Prism?Triangular Prism is a polyhedron made up of two triangular bases and three rectangular sides. It is a three-dimensional shape that has three side faces and two base faces, connected to each other through the edges.
How to determine this
The surface area of the triangular prism = Area of the front Triangle + Area of the triangle + Each sides of the triangle by the length of the triangular prism.
Area of the front and back triangle will be the the same given the same base and height
To find the area of the triangle = 1/2 * Base * Height
Where base = 12 cm
Height = 9 cm
Area = 1/2 * 12 cm * 9 cm
Area = 6 * 9 \(cm^{2}\)
Area of the one triangle = 54 \(cm^{2}\)
So, by multiplying each sides of the triangle by the length
= Base * Length
= 12 cm * 25 cm
= 300\(cm^{2}\)
Height * Length
= 9 cm * 25 cm
= 225 \(cm^{2}\)
Then, Hypotenuse * Length
= 15 cm * 25 cm
= 375 \(cm^{2}\)
Surface area = 54\(cm^{2}\) + 54\(cm^{2}\) * 300\(cm^{2}\) + 225\(cm^{2}\) + 375\(cm^{2}\)
Surface Area = 1,008\(cm^{2}\)
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Read the following prompt and type your response in the space provided. A comparative dot plot is shown for the points scored in a game by the members of two groups. Comparative dot plot. Number line from 41 to 59 for Group A. There is one dot above 41, two dots above 44, three dots above 45, one dot above 46, four dots above 47, two dots above 48, one dot above 49, and one dot above 50. Number line from 41 to 59 for Group B. There is one dot above 41, four dots above 42, five dots above 43, two dots above 44, one dot above 46, one dot above 47, two dots above 49, and three dots above 50. Compare the measures of spread for the two groups.
Answers
In terms of measures of spread, Group B has a wider IQR than Group A
The comparative dot plots show the points scored in a game by two groups, Group A and Group B. Both groups have a similar spread, with most of the dots clustered around the middle of the distribution. However, there are some differences in the tails of the distribution that affect the measures of spread.
For Group A, the lowest score is 41, and the highest score is 50. The interquartile range (IQR), which is the range containing 50% of the scores, is approximately from 45 to 48. The range, which is the difference between the highest and lowest scores, is 9.
For Group B, the lowest score is 41, and the highest score is 50. The interquartile range (IQR) is approximately from 43 to 49. The range is also 9.
This indicates that Group B has a more variable distribution of scores within the middle 50% of the distribution, indicating a more variable distribution of scores within the middle.
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Santa decides to paint the house instead of putting on vinyl siding. The paint will cover 400 square feet per gallon. Use Santa's answer from 1,464 square feet to decide how many gallons of paint he'll need to buy for one coat. Remember that Santa can't buy part of a can paint.
Answers
Given that:
- The paint will cover 400 square feet per gallon.
- The area to paint is 1,464 square feet.
Let be "x" the number of gallons of he will need to buy for one coat.
In order to find the value of "x", you need to divide the total area to paint by the area one gallon covers.
You get:
\(\begin{gathered} x=\frac{1464ft^2}{400ft^2} \\ \\ x\approx4 \end{gathered}\)Hence, the answer is:
\(4\text{ }gallons\)solve the system of equations y=4x+1, y=x2+2x-2
Answers
(-1,-3) and (3,13)
Given in the question two equations
y = 4x + 1
y = x² + 2x - 2
Equate both functions
4x + 1 = x² + 2x - 2
rearrange the x term and constant
-x² + 4x - 2x + 2 + 1 = 0
-x² + 2x + 3 = 0
factors
-x * 3x = -3x²
-x + 3x = 2x
-x² -x + 3x + 3 = 0
-x(x+1) +3(x+1) = 0
solve
(x+1)(3-x) = 0
x = -1
and
x = 3
Plug these values in equation to find y
x = -1
y = 4(-1)+ 1
y = -3
x = 3
y = 4(3)+ 1
y = 13
diameter = 10.5in.we are learning something about area of circle.
Answers
Use the formula for the area of a circle:
\(A=\pi\cdot r^2\)First, we need to find the radius r. Since the radius is half the diameter, then:
\(\begin{gathered} r=\frac{10.5\text{ in}}{2} \\ \therefore r=5.25in \end{gathered}\)Substitute the value for r in the formula for the area of the circle:
\(\begin{gathered} A=\pi\cdot(5.25in)^2 \\ \approx86.6in^2 \end{gathered}\)Therefore, the area of a circle of diameter 10.5 in is approximately 86.6 squared inches.
Decide whether the rates are equivalent. Maria saves $50 in 4 months.
Ralph saves $60 in 5 months
Answers
Answer:
The rates are not equivalent since Maria saves $0.50 more per month than Ralph.
Step-by-step explanation:
We can determine if two rates are equivalent by comparing the rates at which they save per month.
Maria's savings per month:
Both 50 and 4 can be divided by 2, which gives us 25/2. As a regular number, this becomes 12.5/1 which means Maria saves $12.5 per month.
Ralph's savings per month:
Both 60 and 5 can be divided by 5, which gives us 12. Thus, Ralph saves $12 per month.
Thus, the rates are not equivalent as Maria saves $0.50 more per month than Ralph.
what is the equation of the line through (2,-1) and (0,5)
A. y= -3x + 5
B. y= 3x - 5
C. y= -3x - 5
D. y= 3x + 5
Answers
3x-2=2(x-5)
find the value of x
Answers
Now we have to,
find the required value of x.
Let's begin,
→ 3x-2 = 2(x-5)
→ 3x-2 = 2x-10
→ 3x-2x = -10+2
→ x = -8
Hence, value of x is -8.
Answer:
x = -8
Step-by-step explanation:
3x - 2 = 2 ( x + 5
Solve for x.
Let's solve,
3x - 2 = 2 ( x + 5 )
Step 1:- Distribute 2.
3x - 2 = 2 × x + 2 × 5
3x - 2 = 2x - 10
Step 2 :- Move constant to the right-hand and change their sign.
3x = 2x - 10 + 2
Step 3:- Add -10 and 2.
3x = 2x - 8
Step 4 :- Move variable to the left-hand side and change their sign.
3x - 2x = -8
Step 5 :- Subtract 2x from 2x.
x = -8
Hence, value of x = -8.
The number of tadpoles in a particular pond on March 1st of any particular year is Pn the population is modelled by the interactive formulae
The population is modelled by the interactive formulae Pn+1 = k(Pn+60)
Answers
Answer:
get them googel
Step-by-step explanation:
please help me on this math question
Answers
Answerye
rd
Step-by-step explanation:
Select all the distribution shapes for which it is most often appropriate to use for mean.
A. Bell shape
B. Bi model
C. Skewed
D. Symmetric
E. Uniform
Answers
Answer:
D. Symmetric
E. Uniform
Step-by-step explanation:
For a uniform or symmetrical distribution, the mean, median, and mode are equal. In this type of distribution shape, the mean is the best indicator of central tendency, because it includes all of the data in the calculations.
But for a skewed distribution, the median is often the best measure of central tendency.
Therefore, the correction options are;
D. Symmetric
E. Uniform
Answer:
Bell shaped
Step-by-step explanation:
image attached! please help x=?
Answers
Answer:
x=90°
down here I'm adding feeling words because no response has to be at least 20 characters long.
Answer:90 degrees
Step-by-step explanation:
what is the answer 3/4×6/8=
Answers
Divide. −3.52−2.2 What is the quotient
Answers
The quotient of - 3.32 / - 2.2 is 8 ÷5.
What is the quotient?Given fraction:
-3.32 / -2.2
First step is to re-write the given fraction which is - 3.52 / - 2.2
3.52 / 2.2
Second step is to convert the decimal to fraction
352 ÷ 100 / 22 ÷10
Third step is to reduce the fraction
reducing 352/100
=(2^5 × 11)/(2^2 × 5^2)
= [(2^5 × 11) ÷ 2^2] / [(2^2 × 5^2) ÷ 2^2]
= (2^3 × 11)/5²
= 88/25
Reducing 22/10
Divide the numerator and denominator by the greatest common divisor
= 22 ÷ 2 / 10 ÷ 2
= 11 /5
Now let determine or find the quotient
88 ÷ 25 × 11 ÷ 5
= 8 ÷ 5
Therefore we can conclude that 8 ÷ 5 is the quotient.
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What two numbers have a product of -25 and a sum of 24?
Answers
have a good day!
In a class of 20 kindergarteners, 10 are wearing blue shirts, 5 are wearing green shirts, and 5 are wearing red shirts. A group of 10 kindergarteners is chosen at random to go outside for play time. What is the probability that exactly two of the group are wearing red shirts
Answers
as there are 30 children and from 30 children 2 will be picked (which will than be 2/30)
but if we simplify that by 2, than that will lead to the ANSWER OF: 1/15
Boats from all along the Atlantic coast dock at a busy marina. Of the first 13 boats to dock at the marina one day, 5 were from North Carolina. What is the experimental probability that the next boat to dock will be from North Carolina?
At a glass vase factory, 2 out of the last 10 vases produced were chipped. What is the experimental probability that the next vase will be chipped?
Answers
Answer:
the experimental probability that the next vase produced at the factory will be chipped is 1/5.
Step-by-step explanation:
Since 5 out of the 13 boats that docked were from North Carolina, the experimental probability of the next boat being from North Carolina is the number of favorable outcomes (i.e., the number of boats from North Carolina) divided by the total number of outcomes (i.e., the total number of boats that docked).
Therefore, the experimental probability that the next boat to dock will be from North Carolina is:
P(North Carolina) = 5/13
For the second question:
Since 2 out of the last 10 vases produced were chipped, the experimental probability that the next vase will be chipped is:
P(chipped) = 2/10 = 1/5
Therefore, the experimental probability that the next vase produced at the factory will be chipped is 1/5.
Find X exactly. Answer should be in a square root.
Answers
x = 14
\(\bold{EXPLANATIONS:}\)
what is 1,300 divided by85
Answers
Answer: 15
Step-by-step explanation:
260
Simplify ———
17
Final result :
260
——— = 15
17
work out the value 3x10^-5 x 40,000,000 give you answer in standard form
Answers
★ Solution:
➣ \({\sf{3\:x\:10^{-5}\:x\:4\:x\:10^7\)
➣ \({\sf{(3\:x\:4)\:x\:(10^{-5+(-7)})\)
➣ \({\sf{12\:x\:10^2\)
➣ \({\sf{1.2\:x\:10^3\)
George used the diagram below to help determine 30% of 60. Which expression could George have used?
30% of 60
10%
10%
10%
10%
10%
10%
10%
10%
10%
10%
0.10
0.10
0.10
0.10
0.10
0.10
0.10
0.10
0.10
0.10
6
6
6
6
6
6
6
6
6
6
(0.10)(6)
(0.10)(60)
(3)(6)
(3)(60)
Answers
Answer:
(3)(6)
Step-by-step explanation:
I did the quiz
George could have used the expression (0.30)(60) to determine 30% of 60.
How to determine . Which expression could George have usedGeorge could have used the expression (0.10)(6)(0.10)(60) to determine 30% of 60.
(0.10) represents 10% or 0.10 as a decimal. Since 30% is three times 10%, George can use three instances of (0.10) to represent 30%.
(6) represents the value 6, which is the number being multiplied by the percentage.
(0.10)(60) represents 10% of 60, which is 6.
Multiplying (0.10)(6)(0.10)(60) gives us the result of 6, which is 30% of 60.
Therefore, George could have used the expression (0.10)(6)(0.10)(60) to calculate 30% of 60.
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how much would $300 invested at 4% interest compounded monthly be worth after 8 years? round your answer to the nearest cent
Answers
Answer:
412.92
Step-by-step explanation:
\(A = P(1+\frac{r}{n} )^{nt}\)
A: Amount, P: Principal, r: interest, n: no.of times compounded yearly and t: time in years
We have P = 300
r = 4% = 0.04
n = 12 (compounded monthly)
t = 8
\(A = 300(1+\frac{0.04}{12} )^{12*8}\\\\300(\frac{12.04}{12} )^{96}\\\\= 412.92\)