With a nominal scale, the Mode is the appropriate measure of central tendency, and variation must be assessed by looking at the distribution of responses across the various response categories.
The term nomenclature comes from the Latin ``nomen'' and ``nominalis'', meaning ``name''. According to meaning, nominal scales classify variables into different categories. This category is based on nomenclature rather than rank or order.
Numerical values assigned to variables on a nominal scale are used only to classify the data. It does not imply rank or order. For example, when ranking gender in a survey, respondents choose variables rather than numbers.
Central Tendency:
Central Tendency is a statistical measure of individual values in an overall distribution or data set. The goal is to provide an accurate description of all data within the distribution.
Measuring Central Tendency
The central tendency of a dataset can be determined using three important measures: mean, median, and mode.
Mode:
Mode represents frequently occurring values in a data set. A data set may contain multiple modes or no modes at all.
Consider the given datasets 5, 4, 2, 3, 2, 1, 5, 4, 5. The
Mode represents the most common value. Therefore, the most frequently repeated value in the given dataset is 5.A measure of central tendency is selected based on the properties of the data.
If you have a symmetric distribution of continuous data, all three measures of central tendency apply. However, most analysts use averages. This is because it contains all values in the distribution or data set.
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The circle graph shows the result of a survey of 1500 middle school students.
How many students save their money?
Answer:
Theres no pic
Step-by-step explanation:
I cant solve this
An acute angle of a right-angled triangle is twice the other acute ongle find them
Answer:
30° and 60°Step-by-step explanation:
An acute angle of a right-angled triangle is twice the other acute ongle find them
the sum of the internal angles of a triangle is 180 °, take away the right angle (90 °) and divide by three, and you find one of the unknown angles, you multiply it by 2 and you find the other unknown angle
(180 - 90) : 3 = 30
30 * 2 = 60
----------------------
check
90 + 30 + 60 = 180°
the answer is good
What is 6nx + 7p - 14p +2nx - 6x in simplified expression
Answer:
8nx- 7p-6x is your answer .
x + Зу = -18
2х - Зу = 27
It takes 5 minutes for 7 people to drink 25 pints of water.At this rate,how long would it take 15 people to drink 160 pints of water
Answer:
14.9 min
Step-by-step explanation:
r=rate
r25=5*7
r25=35
r=35/25
r=1.4
substitution
r160=t*15
t=time
r=1.4
1.4*160=t*15
224=t*15/15
224/15=t
14.9 min
what method can samuel use to find the area of the figure, in square units
Answer:
Add the product of 9 and 25 to the product of 9 and 10.
you can compare two marginal distributions to see if the corresponding two variables are related.truefalse
False. Comparing marginal distributions of two variables only gives information about each variable separately and not their relationship.
Comparing the marginal distributions of two variables only shows the distribution of each variable individually and not their relationship. For example, suppose we have two variables X and Y. If we compare the marginal distributions of X and Y separately, we may see that one variable has a higher frequency of a certain value than the other variable, but this does not necessarily imply that there is a relationship between the two variables. To determine whether there is a relationship, we need to look at the joint distribution of X and Y, which can be displayed in a scatterplot or analyzed using a correlation coefficient.
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Williams lunch at Buffalo wild wings cost $13 without tax he leaves the waitress a tip of 17% of the cost of the launch without tax what is the total cost of lunch including tip without tax?
Answer:
$15.21
Step-by-step explanation:
The total cost of the lunch without tax is $13. If you want to find the cost of the tip, you have to find 17% of 13. To find this you do 13×0.17 which is 2.21 dollars. Now add this to the original price of your lunch, $13, to get $15.21.
14. -9√24 + 2√600 what is this in simplest form?
Answer:
2√6(Decimal: 4.898979)
Step-by-step explanation:
−9√24+2√600
=2√6(Decimal: 4.898979)
aira needs 1/4 cup ice cream and 2/3 cup root beer to make a rootbeer float. she is using one measuring cup. how can she write 1/4 and ⅔ as a pair of fractions with a common denominator to fond out which measure cup to use
Answer:
11/12
Step-by-step explanation:
the common denominator between 4 and 3 is 12 because it is the smallest shared factor. as for what cup they would use for 11/12 beats me lol
Mary gave half of her money to her sister then she earned ten more dollar now marcy has 13 dollar how much money did mercy have at the start
Answer:
$6
Step-by-step explanation:
If she got $10 more, then subtract that from 13.
13 minus 10 equals 3.
If she split half with her sister then add 3 more.
3 plus 3 equals 6.
She had $6 at the start
NEED HELP ASAP
Find the approximate area of a triangle that has vertices at A(-4, 2), B(6, 4) and C(3,-1).
Answer:
I need more to the question so I can answer it
Step-by-step explanation:
What vocabulary word defines the part in red?
Y + 5x - 10
variables
constant
coefficient
terms
Answer: variables
Letters can represent any number, therefore it varies, thus the name “variable”
State whether the product of √3 and √9 is rational or irrational. Explain your answer. I’ll mark brainliest
Answer: √3 is irrational whereas √9 is rational
Step-by-step explanation:
3x3=9. 3^2=9. but, ?x?=3 and ?^2=3. there is no number for that
The product of \(\sqrt{3}\) and \(\sqrt{9}\) is irrational
•
An irrational number is a type of real number which cannot be represented as a simple fraction and \(\sqrt{3}\) falls under this category. As fractions are just ratios, being multiplied by another number will not affect the ratio, thus making the product irrational.
Fast Pax Annual Salaries (Thousands of Dollars) The report mentioned that the average salary is $39,500. Based on the report about salary, what would you say to someone who wants to work for Fast Pax?.
Average is the best prediction. For the given case, if someone is wanting to work for Fast Pax, then his salary is most likely to be around $39,500
What is the interpretation of average?Arithmetic mean is the best central measure available for representing the values of a data set. It is also called average of the values of the considered data set.
It serves as one representation of the values of the data set. If for a data set, only its average is given, then we can't say much about the values of the data set, but we can say that the data values are going to be around that average (average is closest number to its data set's values compared to any other number)
It serves as predicted value(in case no other information of the data is available) of that data set.
Average provides ill information in case of skewed data.
Thus, for the given case, as average annual salary for the Fast Pax is $39,800, so we can say that, the salaries of someone who wants to work for Fast Pax would be around $39,800 most probably.
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Answer:
The data is skewed, so the mean is not a good measure of the data.
A median of $20,000 is probably a better indicator of the salary you would earn.
75% of all employees make less than $25,000 annually.
Step-by-step explanation:
Help bc this is due soon
The measures of angle B is derived as 75° to the nearest degree using the cosine rules.
What is the cosine rulesThe cosines rule relates the lengths of the sides of a triangle to the cosine of one of its angles.
Using the cosine rule:
2² = 5² + (√45)² - 2(5)(√45)cosB
4 = 25 + 45 - 250cosB
4 = 70 - 250cosB
250cosB = 70 - 4 {collect like terms}
250cosB = 66
B = cos⁻¹(66/250) {cross multiplication}
B = 74. 6925°
Therefore, the measures of angle B is derived as 75° to the nearest degree using the cosine rules.
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Which statement is true about the box plot? the youngest age is 7. it is skewed right. more of the children were close to 12 years old than 6 years old. half of the children were between 6 and 9 years old.
The statement that is true about the box plot is that More of the children were close to 12 years old than 6 years old.
What is box plot?A box plot is known to be a kind of plot that shows at least five-number that acts as the summation of all the set of a given data.
Conclusively, in the case above, the box plot is said to be showing the a lot of children whose age are close to 12 years old more than those who are 6 years old.
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Answer:
The answer is C
Step-by-step explanation:
a) Determine whether following series absolutely converges or diverges. Σ n2 + 8 3 + 3n2 n=1 b) Determine whether the following series absolutely converge or diverge by using ratio test. 00 10+1 n=1 n2(43n+3) Σ =1
a) We need to evaluate whether the series generated by the absolute values converges in order to ascertain whether the series (n2 + 8)/(3 + 3n2) absolutely converges or diverges from n = 1 to infinity.
Take the series |n2 + 8|/(3 + 3n2) into consideration. Taking the absolute value has no impact on the series because the terms in the numerator and denominator are always positive. Therefore, for the sake of simplicity, we can disregard the absolute value signs.Let's simplify the series now: (1 + 8/n2)/(1 + n2) = (n2 + 8)/(3 + 3n2).
The words in the series become 1/1 as n gets closer to b, and the series can be abbreviated as 1/1.
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A shirt that costs $20 is on sale for 20% off. What is the discounted price of the shirt?
Step 1 - Change 20% to a decimal
Step 2 - Multiply that by $20
Step 3 - Subtract that answer from $20 to find the discounted price of the shirt.
1Points
A
$8
B
$12
C
$16
D
$20
The discounted price is $16, so the correct option is C.
What is the discounted price?if the percentage of the discount (in decimal form) is X, and the initial price is P, then the new price will be:
P' = P*(1 - X)
Here we know that the original price is $20, and the discount is of 20% (or 0.2 written as a decimal form).
Replacing that in the formula above we will get:
P' = $20*(1 - 0.2) = $16
The correct option is C.
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Solve for x
-4 + x _< 9
Answer:
Step-by-step explanation:
what is the underscore for?
Answer:
your answer should be x < 13
Step-by-step explanation:
Hope this helps and have a nice day :)
ABCD is a quadrilateral.
AB=CD
Angle ABC = angle BCD
Prove that AC = BD
compare the triangles ΔABC and ΔBCD
∡ABC = ∡BCD (given)
AB = CD (given)
BC = BC (common) } = > (SAS) ΔABC ≡ ΔBCD = > AC = BD
Side angle side congruency proves AC = BD as BC is common.
What is congruency ?In geometry two objects or shapes are congruent if they have same shape and size we can also prove congruency by sides,angles.
According to the question ABCD is a quadrilateral given that AB = CB and ∠ABC = ∠ BCD.
Now if we draw two line segments AC and BD this will form two triangles
ΔABC and ΔADC in them BC is a common side And AB = CD also ∠ABC = ∠ BCD so by side angle side(SAS) congruency we can say that AC = BD.
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Is it possible to design a pair of nonstandard dice, with positive integers on the faces (not necessarily all distinct), so that the probability of rolling any given total on those two dice is the same as the probability of rolling that total on two standard dice
you can reduce it to factors of degree 2 or less).
The two dice do not need to be identical. If it is possible, do it. If it is not possible, prove that it is not possible.
Some hints I got were to try to construct a pair of nonstandard dice such that the generating function for their sum matches the corresponding g.f. for a pair of standard dice and to note that the g.f. for a pair of standard dice can be factored quite a bit (you can reduce it to factors of degree 2 or less).
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what is the probability of getting all tails? express your answer as a simplified fraction or a decimal rounded to four decimal places.
The probability of getting all tails when flipping a coin three times can be calculated using the multiplication rule of probability. For each flip of the coin, there are two possible outcomes: heads or tails.
Assuming the coin is fair, both outcomes are equally likely, so the probability of getting tails on any one flip is 1/2.
To calculate the probability of getting all tails in three flips, we need to multiply the probabilities of getting tails on each individual flip. Since the flips are independent events (i.e. the outcome of one flip does not affect the outcome of another flip), we can simply multiply the probabilities together:P(all tails) = P(tails on first flip) x P(tails on second flip) x P(tails on third flip)
= (1/2) x (1/2) x (1/2)
= 1/8
Therefore, the probability of getting all tails when flipping a coin three times is 1/8 or 0.125 when expressed as a decimal rounded to four decimal places.
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A Cube has a length of 65cm. find its surface area.
Answer:
25350 cm²
Step-by-step explanation:
A Cube has a length of 65cm. find its surface area.
a cube has 6 equal faces, having the side we find the area of one face and multiply by 6
65 × 65 × 6 =
4225 × 6 =
25350 cm²
Please help!
You pick a card at random. Without putting the first card back, you pick a second card at random.
What is the probability of picking a 3 and then picking a 3?
Simplify your answer and write it as a fraction or whole number.
Answer:
The answer could be 0 or 1 out of 4, because choosing a card at first and not putting it back, then picking a second card at random, it would likely be one in zero attempts to pick 3 again but otherwise that it could be 1 out of 4 because it could be possible picking 3 at the first try.
identify the meanings of the varibles in the point-slope form of a line
The variables in the point-slope form of a line (x₁,y₁) is a given point on the line, m the slope of the line and (x,y) is any point on the line.
Given that the variables in the point-slope form of a line.
The general form of the equation of a line is y - y₁ = m (x-x₁) where m is the slope of line, y₁ and x₁ is any point on the line
It is an equation of degree one x and y represent the coordinate of the point on the line represented in the coordinate plane
m = slope of the line
The general equation of a line is y = mx + c where
m = slope of line
(x₁ , y₁) = it is the given point on the line as data points are represented as (x₁,y₁) , (x₂,y₂) , (x₃,y₃) and so on
(x ,y) = it is any point line where x is any point on the x-axis and y is any point on y-axis
Hence, the variables in the point-slope form of a line where (x₁,y₁) is a given point on the line, m the slope of the line and (x,y) is any point on the line.
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Sathish is going on a 210021002100-kilometer road trip with 222 friends, whom he will pick up 150150150 kilometers after he begins the trip and drop off when there are 150150150 kilometers remaining. the car consumes 666 liters of gas for every 100100100 kilometers, and gas costs \$1.20$1.20dollar sign, 1, point, 20 per liter.
Sathish will pay $64.8
When Satish is alone, kilometres:
Beginning at 150 kilometres and ending at 150 kilometres will be travelled 300 kilometres in total
When Satish is with friends, the total kilometres travelled is 2100 km:
And when Satish went alone he travelled 300 km
When Satish is with friends, total kilometres travelled: 2100-300 = 1800 km
Gas consumed in litres when Satish is alone: 100 kilometres use 6 litres of gas.
300 kilometres at 6 x 3 equals 18 litres.
So, when Satish is with friends, litres of gas are consumed: 100 kilometres use 6 litres of gas.
So, 6 × 18 for 1800 kilometres is equal to 108 litres.
Gas prices when Satish is on his own:
$1.2 per litre
18 x $1.2 = $21.6
Gas prices when Satish is travelling with friends
$1.2 per litre
108 x 1.2 = $129.6
Cost for each friend = $129.6/3 = $43.2
Satish will pay: Cost when travelling with friends + Cost when travelling alone
=$43.2+ $21.6
=$64.8
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(a) Find the values of z, zER, for which the matrix
x3 x
9 1
has inverse (marks-2 per part)
x=
x=
x=
(b) Consider the vectors - (3,0) and 7- (5,5).
(i.) Find the size of the acute angle between i and ü. Angle-
(ii). If -(k, 3) is orthogonal to , what is the value of ke k [2 marks]
(c) Let J be the linear transformation from R2 R2 which is a reflection in the horizontal axis followed by a scaling by the factor 2.
(i) If the matrix of J is W y 1₁ what are y and z
y= [2 marks]
z= [2 marks] U N || 62 -H 9 has no inverse. [6 marks-2 per part] [2 marks]
(d) Consider the parallelepiped P in R³ whose adjacent sides are (0,3,0), (3, 0, 0) and (-1,1, k), where k € Z. If the volume of P is 180, find the two possible values of k. [4 marks-2 each]
k=
k=
(e) Given that the vectors = (1,-1,1,-1, 1) and =(-1, k, 1, k, 8) are orthogonal, find the magnitude of . Give your answer in surd form. [3 marks]
v=
(a) To find the values of z for which the matrix does not have an inverse, we can set up the determinant of the matrix and solve for z when the determinant is equal to zero.
The given matrix is:
|x3 x|
|9 1|
The determinant of a 2x2 matrix can be found using the formula ad - bc. Applying this formula to the given matrix, we have:
Det = (x3)(1) - (9)(x) = x3 - 9x
For the matrix to have an inverse, the determinant must be non-zero. Therefore, we solve the equation x3 - 9x = 0:
x(x2 - 9) = 0
This equation has two solutions: x = 0 and x2 - 9 = 0. Solving x2 - 9 = 0, we find x = ±3.
So, the values of x for which the matrix has no inverse are x = 0 and x = ±3.
(b) (i) To find the size of the acute angle between the vectors (3,0) and (5,5), we can use the dot product formula:
u · v = |u| |v| cos θ
where u and v are the given vectors, |u| and |v| are their magnitudes, and θ is the angle between them.
Calculating the dot product:
(3,0) · (5,5) = 3(5) + 0(5) = 15
The magnitudes of the vectors are:
|u| = sqrt(3^2 + 0^2) = 3
|v| = sqrt(5^2 + 5^2) = 5 sqrt(2)
Substituting these values into the dot product formula:
15 = 3(5 sqrt(2)) cos θ
Simplifying:
cos θ = 15 / (3(5 sqrt(2))) = 1 / (sqrt(2))
To find the acute angle θ, we take the inverse cosine of 1 / (sqrt(2)):
θ = arccos(1 / (sqrt(2)))
(ii) If the vector (-k, 3) is orthogonal to (5,5), it means their dot product is zero:
(-k, 3) · (5,5) = (-k)(5) + 3(5) = -5k + 15 = 0
Solving for k:
-5k = -15
k = 3
So, the value of k is 3.
(c) Let J be the linear transformation from R2 to R2 that reflects points in the horizontal axis and then scales them by a factor of 2. The matrix of J can be found by multiplying the reflection matrix and the scaling matrix.
The reflection matrix in the horizontal axis is:
|1 0|
|0 -1|
The scaling matrix by a factor of 2 is:
|2 0|
|0 2|
Multiplying these two matrices:
J = |1 0| * |2 0| = |2 0|
|0 -1| |0 2| |0 -2|
So, the matrix of J is:
|2 0|
|0 -2|
Therefore, y = 2 and z = -2.
(d) The volume of a parallelepiped can be found by taking the dot product of two adjacent sides and then taking the absolute value of the result.
The adjacent sides of the parallelepiped P are (0,3,0)
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Find the area of the semicircle.
Find the 12th term -7, -3, 1,
Answer:
\( \sf \: 12th \: term = 37\)
Step-by-step explanation:
Common difference (d) is,
→ d = a2 - a1
→ d = -3 - (-7)
→ d = -3 + 7
→ [ d = 4 ]
Now the 12th term will be,
→ a1 + (d × (n - 1))
→ -7 + (4 × (12 - 1))
→ -7 + (4 × 11)
→ -7 + 44
→ 37 => 12th term
Hence, the answer is 37.