The standard form of the expression is 2m² + m.
What is standard form formula?The standard form is referred to as the general way of representing any type of notation. The standard form formula represents the standard form of an equation which is the commonly accepted form of an equation. For example - The standard form of a polynomial is to write the terms with a higher degree first (descending order of degree) and its coefficients must be in integral form.
Equation:Combining like terms, we get:
(m² - m) + (2m + m²) = m² + m² - m + 2m
Simplifying further, we get:
2m² + m
Therefore, the sum of the given expressions is 2m² + m.
To write the answer in standard form, we arrange the terms in descending order of degree of the variable:
2m² + m = 2m² + 1m¹ + 0m⁰
So the standard form of the expression is 2m² + m.
To know more about standard form, click here
https://brainly.com/question/29000730
#SPJ1
HELP PLSSS!!!!!!
A student missed 88
problems on a English test and received a grade of 2%. If all the problems were of equal value, how many problems were on the test? Follow the problem-solving process and round your answer to the nearest integer.
Answer:
Let's start by using the formula for finding the percentage: percentage = (part/whole) x 100 In this case, we know the percentage (2%) and the part (88 problems), but we don't know the whole (total number of problems on the test). So we can write: 2% = (88/whole) x 100 Simplifying, we get: 0.02 = 88/whole Multiplying both sides by the whole, we get: whole x 0.02 = 88 Dividing both sides by 0.02, we get: whole = 4400 Therefore, there were 4400 problems on the English test.
Answer:90 problems
Step-by-step explanation:
To solve the problem, we can use the formula:% correct = (number of correct answers / total number of questions) * 100%Since the student received a grade of 2%, we can write:2% = (number of correct answers / total number of questions) * 100%Simplifying this equation, we get:total number of questions = number of correct answers / 0.02We know that the student missed 88 problems, so the number of correct answers is:number of correct answers = total number of questions - 88Substituting this into the equation above, we get:total number of questions = (total number of questions - 88) / 0.02Simplifying this equation, we get:total number of questions = 50 * (total number of questions - 88)Solving for the total number of questions, we get:total number of questions = 90Therefore, there were 90 problems on the English test
At a seminar, 2/5 of the audience were students, 3/10 of them were retirees. The rest were professionals. There were 18 more students than professionals. How many audience were at the seminar?
Answer:
There were 60 audience members at the seminar.
Step-by-step explanation:
Let's assume that the total number of audience members at the seminar is "x".
From the given information, we know that:
2/5 of the audience were students, so the number of students was (2/5)x
3/10 of the audience were retirees, so the number of retirees was (3/10)x
The rest were professionals, so the number of professionals was x - (2/5)x - (3/10)x = (1/10)x
We also know that there were 18 more students than professionals, so:
(2/5)x - (1/10)x = 18
Multiplying both sides by 10, we get:
4x - x = 180
Simplifying, we get:
3x = 180
x = 60
Therefore, there were 60 audience members at the seminar.
Why is the quotient of three divided by one-fifth different from the quotient of one-fifth divided by three? Tell a story that could describe each situation.
PLESSSS HELP ME I REALLY NEED IT 100 points
They are different because they are inverse expressions.
what is prime factor ?
A positive integer factor that is also a prime number is known as a prime factor in mathematics. Otherwise put, a prime factor is a prime number that may be multiplied by additional prime factors to produce the original integer. For instance, since 24 can be written as the product of the numbers 2, 2, 2, and 3, the prime factors of 24 are 2, 2, 2, and 3. There is only one set of prime factors for every positive integer since a number's prime factors are always unique. Finding a number's prime factors is a technique called prime factorization. It is a fundamental idea in number theory and has lots of real-world uses, including in computer science and cryptography.
given
Due to the way division operates, the quotient of three by one-fifth differs from the quotient of one-fifth by three. You get a greater quotient when you divide a larger number by a smaller number, and a smaller quotient when you divide a smaller number by a larger number.
To demonstrate these two scenarios, consider the following two tales:
The Quotient of Three Divided by One-Fifth is the first story.
There once were three pals named Chris, Ben, and Alex. They made the decision to split the five equally sized slices of pizza. Due to his extreme hunger, Alex chose to grab three of the slices for himself, leaving Ben and Chris with just two pieces each.
We write the expressions first mathematically:
three divided by one-fifth:
(3) / (1/5)
one-fifth divided by three:
(1/5) / (3)
We now use the double c method to find the results:
(3) / (1/5) = (3 * 5) / (1 * 1) = 15/1 = 15
(1/5) / (3) = (1 * 1) / (5 * 3) = 1/15 = 0.066666667
The difference between the two is:
15-0.066666667 = 14.93333333
To know more about prime factor visit:
brainly.com/question/29775157
#SPJ1
El 15% de una cantidad es 216 cuál es esa cantidad ?
la cantidad buscada es 1440.
Calculating the value of the quantityPara encontrar la cantidad dada el 15% de la misma, podemos usar una ecuación:
15% de x = 216
Podemos convertir el porcentaje a decimal dividiendo por 100:
0.15x = 216
Luego, para despejar x, podemos dividir ambos lados de la ecuación por 0.15:
x = 216 / 0.15
x = 1440
Por lo tanto, la cantidad buscada es 1440.
Read more about percentage at
https://brainly.com/question/24877689
#SPJ1
Select all the properties that both rectangles and parallelograms share.
A. 4 right angles
B. 4 sides of equal length
C. 2 pairs of parallel sides
D. 2 pairs of sides with equal length
E. 2 acute angles and 2 obtuse angles
The prοperties that bοth rectangles and parallelοgrams share are 2 pairs οf parallel sides & 2 pairs οf sides with equal length.
Thus, οptiοn C & D is cοrrect.
Prοperties οf bοth rectangles and parallelοgrams:
Rectangles and parallelοgrams are bοth types οf quadrilaterals, which are pοlygοns with fοur sides.
Certain prοperties are unique tο each type οf quadrilateral, as well as sοme that they share in cοmmοn. Here are the prοperties that rectangles and parallelοgrams share:
1. Bοth rectangles and parallelοgrams have parallel οppοsite sides.
2. Bοth rectangles and parallelοgrams have cοngruent οppοsite sides
3. Bοth rectangles and parallelοgrams have cοngruent, οppοsite angles
4. Bοth rectangles and parallelοgrams have cοnsecutive angles that are supplementary
Therefοre,
The prοperties that bοth rectangles and parallelοgrams share are
C. 2 pairs οf parallel sides
D. 2 pairs οf sides with equal length
Learn more about Rectangles at
https://brainly.com/question/26651476
#SPJ9
The selling price of an article is N8,000.00. If it is sold at a loss of 20%. What was the cost price?
Answer:
sp= 8000.00.
loss percent= 20%
loss amount = 20% of sp
= 20÷100 × 8000
= 1600
now,
costprice = sp + loss amount
= 8000 + 1600
= 9600
In how many ways cam 2 students be chosen from a group of 15?
Answer:
you could do 2 students in each group with one group of 3
Step-by-step explanation:
sorry if i didn't answer correctly
I
I need to know this
The measures of the angles and arcs of the circle are;
11320317597824260853224The sum of the digits in the shaded = 1 + 3 + 7 + 2 + 3 + 4 + 6 = 26
26 - 14 = 12
Using the decoder wheel, we get; FVMMO
What is an arc of a circle?An arc is a portion or part of the circumference of the circle.
The arc angles from the diagrams indicates;
1. mPR = 90 + (90 - 67) = 113
2. mQST = mQR + mRST
mQST = 23 + 180 = 203
3. 8·x - 15 + (3·x + 8) = 180 (Linear pair angles)
11·x - 7 = 180
11·x = 187
x = 187/11 = 17
x = 17
4. LM = 3·x + 8
Therefore; LM = 3 × 17 + 8 = 59
LM = 59
5. m∠DAC = 156/2 = 78
6. mBC = 180 - 156 = 24
7. m∠ADB = 43
mAB = 43 × 2 = 86
mABD = 180 + 86 = 266
8. 2 × (7·x -3) = 17·x - 30
14·x - 6 = 17·x - 30
17·x - 14·x = 3·x = 30 - 6 = 24
x = 24/3 = 8
x = 8
9. m∠YZX = 7·x -3
m∠YZX = 7 × 8 - 3 = 53
m∠YZX = 53
10. m∠WXZ = 62/2 = 31
The angle formed by the intersection of WY and XZ is therefore;
mWZY = 180 - (2 × 53) + 63 = 137
mWXY = 180 - (2 × 31) + (17 × 8 - 30) = 224
Learn more on the arc of a circle here: https://brainly.com/question/8874258
#SPJ1
There was a sample of 600 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 8.4% each year.
Let t be the number of years since the start of the study. Let y be the mass of the sample in milligrams.
Write an exponential function showing the relationship between Y and t.
Answer: The decay rate is 8.4%, which means that the sample will have 91.6% of its original mass after one year, 91.6% of that amount after two years, and so on.
Therefore, we can write the relationship between y and t as:
y = 600 * (0.916)^t
This is an exponential decay function, where the initial value is 600 milligrams and the decay factor is 0.916 (1 minus the decay rate of 8.4%). As time t increases, the mass of the sample y decreases exponentially.
Step-by-step explanation:
The total price of a shirt and a cap is $12. If the price of the shirt was doubled and the price of the cap was three times its original price, the total price of a shirt and a cap would be $26. The following system of equations models this scenario:
x + y = 12
2x + 3y = 26
What is the price of each shirt and cap?
1 The price of a shirt is $7, and the price of a cap is $5.
2 The price of a shirt is $8, and the price of a cap is $4.
3 The price of a shirt is $9, and the price of a cap is $3.
4 The price of a shirt is $10, and the price of a cap is $2.
Answer: Number 4 is the answer.
Hope this helps!
The probability that Gerald makes a three-point shot in basketball is
20
%
20%20, percent. For practice, Gerald will regularly shoot a series of these shots until he succeeds at one. He's curious how many shots it will typically take him to get his first successful shot.
He simulated
40
4040 trials of three-point shots where each shot had a
0.2
0.20, point, 2 probability of being successful, and in each trial, he counted how many shots it took to get the first successful shot. Here are his results:
A dot plot for number of shots taken has a scale from 0 to 16. The number of dots for each is as follows. 0, 0. 1, 9. 2, 6. 3, 5. 4, 4. 5, 4. 6, 2. 7, 2. 8, 0. 9, 1. 10, 1. 11, 1. 12, 2. 13, 1. 14, 0. 15, 1. 16, 1.
Use his results to estimate the probability that it takes
10
1010 or fewer shots to get his first successful shot.
Give your answer as either a fraction or a decimal.
�
(
10
or fewer shots
)
≈
P(10 or fewer shots)≈P, left parenthesis, 10, start text, space, o, r, space, f, e, w, e, r, space, s, h, o, t, s, end text, right parenthesis, approximately equals
The estimated probability that it takes 10 or fewer shots to get his first successful shot is:
P(10 or fewer shots) ≈ 0.825
What is probability?
Probability is the study of the chances of occurrence of a result, which are obtained by the ratio between favorable cases and possible cases.
To estimate the probability that it takes 10 or fewer shots to get his first successful shot, we need to add up the number of dots for the first 10 bars on the dot plot.
From the given dot plot, we can see that the number of dots for each value up to 10 shots are:
0 + 9 + 6 + 5 + 4 + 4 + 2 + 2 + 0 + 1 = 33
Therefore, the estimated probability that it takes 10 or fewer shots to get his first successful shot is:
P(10 or fewer shots) ≈ 33/40
This can also be written as a decimal:
P(10 or fewer shots) ≈ 0.825
Hence, the estimated probability that it takes 10 or fewer shots to get his first successful shot is:
P(10 or fewer shots) ≈ 0.825
To know more about probability visit:
https://brainly.com/question/13604758
#SPJ1
A Ferris Wheel is 60 meters in diameter and rotates once every four minutes. The center axle of the Ferris Wheel is 40 meters. from the ground. Write at least 2 mathematical models that represent the motion of the passenger on this Ferris wheel.
y = acos bx +c
y=-25 cos
C. where X = 2.3 min
Another mathematical representation of how a rider on this Ferris wheel might move is :y = cos(0.25x) + 40
What more uses does trigonometry have?Trigonometry is widely used in many fields, including physics, engineering, architecture, surveying, oceanography, and more. Here are several examples:
In astronomy and physics, trigonometry is used to compute the motions of moving objects, gauge the separations between planets and stars, and examine waves. Trigonometry is used in architecture and engineering to determine angles and distances for building structures like bridges and buildings.
In surveying, trigonometry is a tool used to determine angles and separations between points on the surface of the ground.
.
The function y = a cos(bx) + c, where an is the function's amplitude, b is its frequency, and c is its vertical shift, can be used to mimic the height of a rider on a Ferris wheel.
Given that the Ferris wheel's diameter in this instance is 60 meters, its radius is 30 metres. The Ferris wheel's center axle is 40 metres off the ground. This indicates that a rider is 70 metres above the earth when they are at the top of the Ferris wheel (30 + 40). A rider is 10 metres above the ground when they reach the bottom of the Ferris wheel. (40 - 30).
We can determine that the Ferris wheel's period is four minutes because it rotates once every four minutes. The following formula can be used to get our function's frequency:
f = 1/T, 1/4, and 0.25 Hz
Therefore, our function has a frequency of 0.25 Hz.
The vertical shift of our function is equivalent to 50% of the difference between a Ferris wheel passenger's maximum and minimum heights:
, c = (a_max + a_min) /2
c = (70 + 10) /2
c = 40
Therefore, 40 is the vertical shift of our function.
Finally, we must ascertain the function's amplitude. The difference between a Ferris wheel passenger's maximum and minimum heights is equal to half of the amplitude:
For example, c = (a_max + a_min) / 2 c = (70 + 10) / 2 c = 40
Therefore, 40 is the vertical shift of our function.
Finally, we must ascertain the function's amplitude. The difference between a Ferris wheel passenger's maximum and minimum heights is equal to half of the amplitude:
A=(a_max - a_min) / 2 A=(70 - 10) / 2 A=30
Therefore, our function has an amplitude of 30.
When you combine everything, you get:
Y equals a cos(0.25x) + 40
y = -25 cos(C), where C is the time in minutes since the motion started at position, is another potential mathematical model that could describe this motion. (0,-25).
To know more about trigonometry visit:
brainly.com/question/22986150
#SPJ1
Calculate the area of the figure below using the following information:
Area of triangle ABC = 23.85 square units
Area of triangle ACD = 29.4 square units
Area of triangle AED = 26.25 square units
The area of the given polygon ABCDE divided into three triangles ABC, ACD and AED is 79.5 sq. units.
What is a polygon?
A polygon is a closed figure or shape formed using line segments. Smallest polygon is a triangle containing three sides. On the basis of its sides polygons are classified as triangle, quadrilateral, pentagon, hexagon, heptagon, octagon etc. The sum of interior angles of a polygon is found by the formula (n-2)180 , where 'n' refers to the number of sides in a polygon. The sum of exterior angles of any polygon is always equal to 360°. The area of any irregular or regular polygon may be evaluated by dividing the given shape into standard shapes like square, rectangle, triangle etc and then adding up the areas of all shapes.
Here the given pentagon ABCDE is further divided into three triangles,
ABC, ACD and AED
Also given the areas of triangles:
area of ΔABC = 23.85 sq. units
area of ΔACD = 29.40 sq. units
area of ΔAED = 26.25 sq. units
∴The area of given figure= Sum of the areas of ΔABC, ΔACD and ΔAED
=area of ΔABC+area of ΔACD+area of ΔAED
=23.85+ 29.40+26.25
=79.5 sq. units.
The area of the given figure is 79.5 sq. units
To know more about polygon, visit:
https://brainly.com/question/26583264
#SPJ1
Refer to the attached figure below for complete question.
What is the measure of an inscribed angle that intercepts an arc whose measure is 200?
A. 100
B. 200
C. 300
D. 50
The answer to the given question about inscribed angles intercepting an arc is option A. 100
As we know that the measure of an inscribed angle is half the measure of the intercepted arc, we can use the formula:
Measure of inscribed angle = 1/2 × Measure of intercepted arc
So, if the intercepted arc has a measure of 200 degrees, then the measure of the inscribed angle is:
Measure of inscribed angle = 1/2 × 200 degrees
= 100 degrees
Therefore, the answer is A. 100 degrees. In a circle, an inscribed angle is an angle formed by two chords of the circle that have a common endpoint on the circle. The measure of an inscribed angle is half the measure of the intercepted arc. Therefore, if an arc has a measure of 200, then an inscribed angle that intercepts that arc will have a measure of half of 200, which is 100 degrees.
To learn more about intercepted arc click here
brainly.com/question/1626547
#SPJ1
A rectangular piece of paper with length 30ft and width 24ft has two semicircles cut out of it. Find the area of the paper that remains. Use the value 3.14 for PIE , and do not round your answer.
Remark
I take it the semicircles cover the full width of the paper.
So the radius is [tex]24\div2 = 12 \ \text{cm}[/tex]
Since there are two of them, the area = a full circle.
Step One
Find the area of the rectangle before the cuts were made.
[tex]\text{Area = L} \times \text{W}[/tex]
[tex]\text{L = 30}[/tex]
[tex]\text{W = 24}[/tex]
[tex]\text{Area} = 30 \times 24 = 720 \ \text{cm}^2[/tex]
Step Two
Find the area of the circle cut outs.
[tex]\text{r} = 12[/tex]
[tex]\text{Area} = \pi \times \text{r}^2[/tex]
[tex]\text{Area} = 3.14 \times 12^2[/tex]
[tex]\text{Area} = 3.14 \times 144[/tex]
[tex]\text{Area} = 452.16 \ \text{cm}^2[/tex]
Step Three
Find the total area left
[tex]\text{Total Area Left = rectangle - circle}[/tex]
[tex]\text{Total Area Left} = 720 - 452.16[/tex]
[tex]\text{Total Area left} = 267.84 \ \text{cm}^2[/tex] Answer
I can’t find the answer pls help me!
Answer:
what is it
Step-by-step explanation:
THIS IS CONFUSSING!!! Select all the expressions that equivalent to 2 5/8.
262.5%
2.36
42 / 16
26.25%
2.625%
Step-by-step explanation:
The answer is 262.5%
5/8=5÷8=0.625
2 5/8=2.625
2.625=262.5%
262.5% and 2.625
Steps:5/8=5÷8=0.625 then 2 5/8=2.625 then we get 2.625=262.5%
All we do here Is divide then round It to the nearest 1, 10, or 100.
What Is Divide?
Division Is separate or be separated into parts, and noun of division Is a wide divergence between two groups, typically producing tension or hostility.
What Is round?
Adjusting the digits (up or down) to make rough calculations easier.
Hope This Helps!
A company gives each client a unique
account number containing four letters
followed by three digits. How many
account numbers are possible?
Answer: 456,976,000
Step-by-step explanation: Assuming that repetition is allowed
Find the least possible degree shown on the graph
Answer:
The least possible degree is 5.
f(x) = ʃ Sqrt[9+X2 DX]
Thus, the derivative of the given function is found as: [tex]f'(x) = (2x) /\sqrt{(9 + x^{2} )}[/tex].
Explain about the derivative of function:The derivative of a function f(x), also known as f'(x) or df/dx, is a measure of how quickly a function changes. A shift in the value of x is depicted in the image by the symbol x.
Hence, df/dx is a single phrase and should not be mistaken for a fraction. It is also a clue that x is the independent variable because it can be interpreted as the derivative of a function having respect to x.
Given function:
[tex]f(x ) = \sqrt{9 + x^{2} } .dx[/tex]
Differentiating the function with respect to x, using the chain rule.
[tex]f'(x) = (9 + x^{2} )^{1/2 - 1} .(0 + 2x)[/tex]
[tex]f'(x) = (9 + x^{2} )^{-1/2} .(2x)[/tex]
[tex]f'(x) = (2x) /(9 + x^{2} )^{1/2}[/tex]
[tex]f'(x) = (2x) /\sqrt{(9 + x^{2} )}[/tex]
Thus, the derivative of the given function is found as: [tex]f'(x) = (2x) /\sqrt{(9 + x^{2} )}[/tex].
Know more about the derivative of function
https://brainly.com/question/12047216
#SPJ1
Calculate the area of the shaded region below
Answer:
Step-by-step explanation:
According to the given situation,
the area of figure A= l*b
=4m * 5m
=20m²
As the measures of the figure A and B is same,
the area of figure B = the area of figure A=20m²
the length of the side C and D are = 16m-8m-4m=4m
the area of figure C = l * b
=4m*5m
=20m²
As the measures of the figure C and D is same,
the area of figure D = the area of figure C=20m²
Area of the figure E=l * b
=8m * 13m
=104m²
∴ the area of the shaded region is =184m²
The standard form of an absolute value function is f(x) = a|x -h| + k.Which of the following represents the vertex?
A. (-k,h)
B. (-h,k)
C. (k,h)
D.(h,k)
Please help ASAP
Answer:
The correct answer:
D. (h, k)
HELP PLEASEEEEEEEEEE
Amadou and Olivia are making fruit salads for a picnic. Amadou mixes 9 cups of melon and 10 cups of apple and Olivia mixes 2 cups of melon and 3 cups of apple. Use Amadou and Olivia’s percent of apple to determine whose fruit salad will taste more appley.
Given that 60% of Olivia's fruit salad is made up of apples as opposed to Amadou's fruit salad's 52.63%, Olivia's fruit salad will have a more apple-forward flavor based on percent.
The amount of apples in each fruit salad needs to be compared in order to determine which salad will taste more apple-like.
There are 19 cups of fruit in Amadou's fruit salad, of which 10 cups are apples. By dividing the total number of cups of fruit by the number of cups of apples, and multiplying the result by 100, we can get the proportion of apples in Amadou's salad:
Apple's percent of Amadou's fruit salad is equal to (10/19) x 100, or 52.63%.
There are 5 cups of fruit in Olivia's fruit salad, of which 3 cups are apples. We can use the same formula to determine how much apple is in Olivia's salad:
Olivia's fruit salad contains 60% apples, or (3/5) x 100.
As a result, Olivia's fruit salad will taste more apple-like because apples make up 60% of it as opposed to only 52.63% of Amadou's fruit salad.
It is important to keep in mind that the maturity, sweetness, and freshness of the fruits used, as well as other elements like the dressing and presentation, may all affect how the fruit salad tastes.
Learn more about percent here:
https://brainly.com/question/28670903
#SPJ1
The figure below shows a hollow box in the shape of a rectangular prism.
Note that the box has a lid.
2 ft
12 ft
5 ft
Surface area and of rectangular prism are 502ft² and 390ft³ respectively.
Define rectangular prismA rectangular prism is a three-dimensional solid shape that has six rectangular faces, where each face is perpendicular to the adjacent faces. It is also known as a rectangular cuboid.
The rectangular prism has three pairs of congruent faces, which are opposite to each other, and each pair of faces has the same dimensions. The dimensions of a rectangular prism are typically measured by its length, width, and height, and these dimensions can be different from each other.
The formula for the volume of a rectangular prism is:
Volume = length x width x height
The formula for the surface area of a rectangular prism is:
Surface area = 2lw + 2lh + 2wh
Sides of rectangular prism are 2ft,15ft and 13ft.
Surface area of rectangular prism=2(lb+bh+lh)
=2(2×15+15×13+13× 2)
=502ft²
Volume of rectangular prism
=lbh
=2×15×13
390ft³
To know more about cuboid, visit:
https://brainly.com/question/29568631
#SPJ1
The complete question is;
Image is attached below.
In a village, 80% of people are Hindus and 2% are Muslims. If 36 people do not follow these two religions, by drawing a Venn diagram find the number of the Hindu.
Explanation:
Assuming the two religions are mutually exclusive, this would mean 80%+2% = 82% of people are either Hindu or Muslim (but not both).
The remaining 100% - 82% = 18% of people are neither religion mentioned.
x = number of people in the village
18% of x = 36
0.18x = 36
x = 36/0.18
x = 3600/18
x = 200
Then,
80% of x = 0.80*x = 0.80*200 = 160 people are Hindu
The Venn diagram is shown below.
Fingerprint analysis and blood grouping are features that do not change through the lifetime of an individual. Fingerprint features appear early in the development of a fetus, and blood types are determined by genetics. Therefore, each is considered an effective tool for identification of individuals. These characteristics are also of interest in the discipline of biological anthropology—a scientific discipline concerned with the biological and behavioral aspects of human beings. The relationship between these characteristics was the subject of a study conducted by biological anthropologists with a simple random sample of male students from a certain region with a large student population. Fingerprint patterns are generally classified as loops, whorls, and arches. The four principal blood types are designated as A, B, AB , and O. The table shows the distribution of fingerprint patterns and blood types for the sample. Expected counts are listed in parentheses. The anthropologists were interested in the possible association between the variables. Blood Type A B AB O Total Loops 66 (71.69) 99 (112.19) 35 (32.29) 101 (84.83) 301 Whorls 51 (47.16) 91 (73.80) 15 (21.24) 41 (55.80) 198 Arches 14 (12.15) 15 (19.01) 9 (5.47) 13 (14.37) 51 Total 131 205 59 155 550 (a) Is the test for an association in this case a chi-square test of independence, or a chi-square test of homogeneity? Justify your choice. 0 / 10000 Word Limit0 words written of 10000 allowed Question 2 (b) Identify the conditions for the chi-square inference procedure selected in part (a), and indicate whether the conditions are met. B) 1 / 10000 Word Limit Question 3 (c) The resulting chi-square test statistic from the appropriate test is approximately 18.930. What are the degrees of freedom and p -value of the test? 0 / 10000 Word Limit Question 4 (d) Biological anthropology is concerned with the comparative study of human origin, evolution and diversity. Considering the sampling design in this study, to what population is it reason
a) The association test, in this case, is a chi-square test of independence,
b) The conditions for the chi-square inference procedure are:
Independence
Sample size
c) In this case, the degrees of freedom are (3-1) x (4-1) = 6.
d) The researchers can generalize their results to the population of male students in the region from which the sample was drawn.
What is the association test?
An association test is a statistical test used to determine whether there is a relationship or association between two or more variables. The type of association test used depends on the nature of the variables being examined.
a) The association test, in this case, is a chi-square test of independence, which is used to determine whether there is a significant association between two categorical variables.
b) The conditions for the chi-square inference procedure are:
Independence: The sample is a simple random sample, so independence is satisfied.
Sample size: The expected count for each cell should be at least 5, which is satisfied for all cells in the table.
c) The degrees of freedom for the chi-square test are (r - 1) x (c - 1), where r is the number of rows and c is the number of columns in the table.
In this case, the degrees of freedom are (3-1) x (4-1) = 6. The p-value associated with a chi-square test statistic of 18.930 and 6 degrees of freedom is less than 0.01.
d) The researchers can generalize their results to the population of male students in the region from which the sample was drawn.
However, it may not be appropriate to generalize to other populations without further research to ensure the characteristics of the population are similar to those of the sample.
Hence, a) The association test, in this case, is a chi-square test of independence,
b) The conditions for the chi-square inference procedure are:
Independence
Sample size
c) In this case, the degrees of freedom are (3-1) x (4-1) = 6.
d) The researchers can generalize their results to the population of male students in the region from which the sample was drawn.
To learn more about the association test visit:
https://brainly.com/question/30696573
#SPJ1
Complete the sentences.
A rotation is a transformation that
OA. turns; shape and size
OB. turns; position
OC. flips; position
D. flips; shape and size
a figure. It changes its
SUBMIT
A rotation can be transformation which turns a figure. It changes its position
what is rotation ?
Rotation is the act of turning or moving something around a fixed point or axis. It is a fundamental concept in mathematics, physics, and engineering, and is used to describe the movement of objects in space.
In the given question,
Rotation is the act of turning or moving something around a fixed point or axis. It is a fundamental concept in mathematics, physics, and engineering, A rotation can be transformation which turns a figure. It changes its position
when their is rotations it turns around its axis and their will be change in its position
To know more about rotation , visit:
https://brainly.com/question/12417761
#SPJ1
how do you solve 11P3 and 11C3? i dont have right calculator and im typing this on my laptop
Answer:
Step-by-step explanation:
11P3=11×10×9=990
[tex]11C_{3}=\frac{11 \times 10 \times 9}{3 \times 2 \times 1} =165[/tex]
One side of the triangle is 1 inch less than three times the length of the altitude to that side. Write a polynomial that represents the area of this triangle.
By answering the presented question, we may conclude that the answer of the triangle [tex]A = (3/2)h^2 - (1/2)h\\[/tex] => [tex]A(h) = (3/2)h^2 - (1/2)h[/tex]
What precisely is a triangle?A triangle is a closed, double-symmetrical shape composed of three line segments known as sides that intersect at three places known as vertices. Triangles are distinguished by their sides and angles. Triangles can be equilateral (all factions equal), isosceles, or scalene based on their sides. Triangles are classified as acute (all angles are fewer than 90 degrees), good (one angle is equal to 90 degrees), or orbicular (all angles are higher than 90 degrees) (all angles greater than 90 degrees). The region of a triangle may be calculated using the formula A = (1/2)bh, where an is the neighbourhood, b is the triangle's base, and h is the triangle's height.
x = 3h - 1
A = (1/2)bh
A = (1/2)xh
A = (1/2)(3h - 1)h
[tex]A = (3/2)h^2 - (1/2)h\\[/tex]
[tex]A(h) = (3/2)h^2 - (1/2)h[/tex]
To know more about triangle visit:
https://brainly.com/question/2773823
#SPJ1