When used inside a function with a parameter, an asterisk groups a variable number of positional arguments into a single tuple of parameter values
Tuples are utilized to store different things in a solitary variable. A tuple is one of 4 implicit information types in Python used to store assortments of information, the other 3 are Rundown, Set, and Word reference, all with various characteristics and use. A tuple is an assortment that is requested and unchangeable. At the point when we say that tuples are requested, it implies that the things have a characterized request, and that request won't change. Python likewise incorporates the * administrator, which permits you to make another rundown with the components rehashed the predetermined number of times. *args permits us to pass a variable number of non-catchphrase contentions to a Python capability. In the capability, we ought to utilize a bullet ( * ) before the boundary name to pass a variable number of contentions.
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How to Multiple fractions with different denominators?
Please explain step by step on what I need to understand. And rules that I may need to follow
Answer:
multiplying numerator by denominator, as in number times number equals = A = answer
Step-by-step explanation:
Isosceles- i need help with this 2 problems
Answer:
Below
Step-by-step explanation:
See image below
The formula F = (9/5)C + 32 can be used to convert between degrees Celsius (C) and degrees Fahrenheit (F). What number of degrees Fahrenheit corresponds to 30° Celsius?
Group of answer choices
A) 86
B) 13
C) 62
D) 22
The required number of degrees is 86° Fahrenheit corresponds to 30° Celsius.
The formula is given in the question following as:
F = (9/5)C + 32 ....(i)
It can be used to convert between degrees Celsius (C) and degrees Fahrenheit (F).
We have to number of degrees Fahrenheit corresponds to 30° Celsius
As per the given question, we have
F = (9/5)C + 32
Substitute the value of C = 30 in the given formula, and solve for F
F = (9/5)(30) + 32
F = (270)/(5) + 32
F = 54 + 32
F = 86
Thus, the required number of degrees is 86° Fahrenheit corresponds to 30° Celsius.
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Answer: the answer is 86
Step-by-step explanation: I have my ways ;>
Sandra deposits $3000 at the beginning of each semi annual period for 12 years at 10% interest compounded semi annually determine the amount she will have in the account after 12 years 
The account balance in her account will be $9675.30 after 12 years.
What is compound interest?
The interest earned on savings that is computed using both the original principal and the interest accrued over time is known as compound interest.
The formula of semi annual compound interest is
A = P [ 1 + r/n]^{nt}
P = principal
n = number of period
t = time
r = Rate of interest.
Given that Sandra open a bank account with $3000.
The semi annually compound interest is 10%.
She deposits it for 12 years.
Here P = 3000, n = 2, t = 12, r = 10% = 0.1
A = 3000 [ 1 + 0.1/2]^{24}
A = 9675.30
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what is the answer to -25g greater than or equal to 150
Answer:
g ≤ - 6 or g ∈ (- ∞, - 6]---------------------------------------
Given inequality:
-25g greater than or equal to 150-25g ≥ 150Divide both sides by -25:
-25g / (-25) ≥ 150 / (-25)g ≤ - 6 Division by a negative number flips the inequality signthe zerodivisionerror exception is raised when the program attempts to perform the calculation x/y if y=0. True or False?
It's True because zero cannot divided by any number it is undefined.
In mathematics, division by zero is division where the divisor (denominator) is zero. Such a division can be formally expressed as a/0, where a is the dividend (numerator). In ordinary arithmetic, the expression has no meaning, as there is no number that, when multiplied by 0, gives a (assuming a ≠ 0); thus, division by zero is undefined. Since any number multiplied by zero is zero, the expression 0/0 is also undefined; when it is the form of a limit, it is an indeterminate form. Historically, one of the earliest recorded references to the mathematical impossibility of assigning a value to a/0 is contained in Anglo-Irish philosopher George Berkeley's criticism of infinitesimal calculus in 1734 in The Analyst
It's True because zero cannot divided by any number it is undefined.
let us consider
x = 3
and y =0
x/y = 3/0 = undefined
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Julia get on the bus at 8:17am. She rides 22 minutes to downtown. When she arrives, she walks 3 minutes to the pet store and then spends 26 minutes in there. Julia leaves and Walk 2 minutes to the dry cleaner. She spends 8 minutes at the dry cleaner picking up her clothes. After the dry cleaner, she waits for bus for 6 minutes. On the bus, she rides for 12 minutes before getting off in another neighborhood. Julia walks from the bus stop for 3 minutes to the café where she spends 3 hours on the line, eating, and doing work on her laptop. She walk 3 minutes back to the bus stop where Julia waits 13 minutes for the bus. She ride the bus for 34 minutes back to her original bus stop, and then walks for 15 minutes to her apartment.
What time is it when she walks in her front door?
Answer:01:44 PM
Step-by-step explanation: Hope this helps!
A 100 foot long moving walkway moves at a constant rate of 6 feet per second. Al steps onto the start of the walkway and stands. Bob steps onto the start of the walkway two seconds later and strolls forward along the walkway at a constant rate of 4 feet per second. Two seconds after that, Cy reaches the start of the walkway and walks briskly forward beside the walkway at a constant rate of 8 feet per second. At a certain time, one of these three persons is exactly halfway between the other two. At that time, find the distance in feet between the start of the walkway and the middle person.
The distance between the start of the walkway and the middle person is 52 feet.
It is given that a 100 foot long moving walkway moves at a constant rate 6 feet per second.
AI steps into the start of the walkway and stands this means speed of AI is 6 feet per second.
Bob steps onto the start of he walkway two second later and stolls forward along walkway 4 feet per second that means 10 feet [per seconds.
And CY reaches the starts of the walkway and walks briskly forward beside the walkway at a rate of 8 feet per second.
At the time s we gave that,
[tex]\frac{8(s-4)+10(s-2)}{2}[/tex] = 6s
[tex]\frac{8s -32 + 10s - 20}{2}[/tex] = 6s
18s - 52 = 12s
6s = 52
s = [tex]\frac{26}{3}[/tex]
At the time AI has travels,
6* [tex]\frac{26}{3}[/tex] = 52 feet.
Therefore distance between the start of the walkway and the middle person is 52 feet.
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B is the midpoint of AC Which statement best describes the relationship between triangles ABD and CBD?
Triangle ABD and Triangle CBD both are congruent by SAS relation when B is the midpoint of AC.
Given that,
B is the midpoint of AC.
What of the following best sums up the connection between triangles ABD and CBD.
We know that,
B is the midpoint of AC, so, AB=BC.
Here in Triangle ABD and Triangle CBD, we get,
1) AB=BC
2) BD common
3) Angle ABD= Angle DBC=90°(BD is perpendicular on AC on B point),
Therefore, Triangle ABD and Triangle CBD both are congruent by SAS relation when B is the midpoint of AC.
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"The table shows a function. Is the function linear or nonlinear?
x y
17 8
18 10
19 12"
John, Sally and Jane form a partnership. They agree to distribute profits by paying Sally a $50,000 salary and distributing the balance using a 2:1:2 ratio respectively. Profits for the year are $70,000. John’s share of the profits is:
Multiple Choice
$4,000
$8,000
$14,000
$54,000
The required share of John in the profit is given as $8000. Option B is correct.
Given that,
John, Sally, and Jane form a partnership. They agree to distribute profits by paying Sally a $50,000 salary and distributing the balance using a 2:1:2 ratio respectively. Profits for the year are $70,000.
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
here,
total profit = 70000
Sally is salary = 50000
remaining profit = 70000 - 50000 = $20000
Now,
total share as of the proportions is 2 + 1 + 2 = 5
Jhon proportion for the share of the profit = 2 / 5
Now,
John share = 2 / 5 [20000] = $8000
Thus, the required share of John in the profit is given as $8000. Option B is correct.
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A boat is heading towards a lighthouse, whose beacon-light is 140 feet above the
water. From point A, the boat's crew measures the angle of elevation to the beacon,
13°, before they draw closer. They measure the angle of elevation a second time from
point B at some later time to be 25 Find the distance from point A to point B.
Round your answer to the nearest foot if necessary.
308.265 is the distance from the point A to point B.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
From point A, the boat's crew measures the angle of elevation to the beacon, 13°.
The height of the lighthouse is given as: h = 140
The distance between point A and the base of the lighthouse is calculated using the following tangent ratio
A=140/tan13=608.695
The distance between point B and the base of the lighthouse is calculated using the following tangent ratio
tan (25)= 140/B
B=140/tan25
=300.43
The distance AB, is then calculated as:
AB=A-B
=608.695-300.43
=308.265
Hence, the distance from point A to point B is 308.265 feet.
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prove: if a quadrilateral has consecutive angles that are supplementary, then it is a parallelogram.
A quadrilateral is a parallelogram if its adjacent angles are supplementary.
We are expected to demonstrate that a quadrilateral is a parallelogram if its adjacent angles are supplementary. Writing down what is given and needs to be supported will be our first step.
1) An ABCD quadrilateral is a given.
2) ∡A supplements ∡B, ∡B supplements ∡C, ∡C supplements ∡D and ∡D supplements ∡A.
To demonstrate: Parallelogram ABCD is a quadrilateral.
Consider AC and BD as evidence. The intersection of AC and BD is AB.
Two angles on the same side of the transversal AB are ∡A and ∡B.
A property states that two lines are parallel if a transversal cuts them and the interior angles on the same side of the transversal are additional.
Here, it is given that ∡A supplements ∡B.
⇒∡A+∡B=180∘
The lines AC and BD are therefore parallel to one another.
Now think about AB and CD. The intersection of AB and CD is AC.
Two angles on the same side of the transversal AB are ∡A and ∡D .
A property states that two lines are parallel if a transversal cuts them and the interior angles on the same side of the transversal are additional.
Here, it is given that ∡D supplements ∡A.
⇒∡A+∡D=180∘
The lines AB and CD are therefore parallel to one another.
Now, since both the pairs of opposite sides are parallel, ABCD is a parallelogram.
Hence proved.
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There are 200 seats on a train. Forty-two percent of the seats are taken. About how many seats are empty? Show and explain your work.
Answer:
116
Step-by-step explanation:
42/100 (that's the percent) = 84/200
200-84=116
Can you please help me fast
the inequality of the number line will be -6<x<2.
What is number line?
A number line is an image of numbers plotted on a straight line, either horizontally or vertically. We can compare numbers and execute simple arithmetic operations on them easily by writing the numbers down on a number line. The starting point of a number line is often regarded as zero (0). These numbers to the left of zero are all negative while the numbers just on right of zero are all positive. As a result, we can argue that on a number line, the value of numbers grows as we approach the right. The numbers on the right are therefore larger than the ones on the left, according to this statement.
In this number line the max point its marked is 2
and the minimum point is -6
So the value of unknown x should lie in between
-6<x<2
So, the inequality of the number line will be -6<x<2.
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When an opinion poll calls residential telephone numbers at random, only 20% of the calls reach a live person. You watch the random dialing machine make 15 calls, X is the number that reach a live person. Does X have a binomial distribution? Give your reason.
X (the number that reach a live person) have a binomial distribution.
In this question we have been given when an opinion poll calls residential telephone numbers at random, only 20% of the calls reach a live person. You watch the random dialing machine make 15 calls, X is the number that reach a live person.
We need to state whether X have a binomial distribution.
20% of the calls reach a live person.
So, the probability that any individual call reaches a live person is 0.2
The sample size (n) = 15 calls
X represent the number of calls that actually reach a live person.
So there are 15 attempts, 15 calls that will attempt to reach a live person.
The probability that any one of those individual calls actually reaches a live person is 0.20 and X will represent the number out of those 15 calls that are placed actual represent the number of those calls that actually reached a live person.
Therefore, the X is a binomial random variable.
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Determine if (x-1) is a factor of g(x)=-2x^4+4x^3-x+9
No, the expression ( x - 1 ) as required to be checked is not a factor of the given polynomial function g ( x ) = -2x⁴ + 4x³ - x + 9.
Factor of a polynomial functionIt follows from the task content that the expression ( x - 1 ) is required to be checked if it's a factor of the given polynomial function.
Since the given factor can be equated to 0 so that we have; x - 1 = 0; x = 1.
On this when g (1) is evaluated, the result must be zero in order to confirm ( x - 1 ) is a factor of g ( x ) = -2x⁴ + 4x³ - x + 9.
Hence; g ( 1 ) = -2 ( 1 )⁴ + 4 ( 1 )³ - 1 + 9.
g (1) = -2 + 4 - 1 + 9
g (1) = 10
Ultimately, since g (1) ≠ 0; the expression ( x - 1 ) is not a factor of the given expression; g ( x ) = -2x⁴ + 4x³ - x + 9.
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If f(a)=3a+5 and g(a) =a^2+4, find f(-2)-g(-2)
The value of find f(-2)-g(-2), if f(a) = 3a + 5 and g(a) = a² + 4 is -9.
What is function?In the case of a function from one set to the other, each element of X receives exactly one element of Y. The function's domain and co-domain are respectively referred to as the sets X and Y as a whole.
Given function:
f(a) = 3a + 5 and g(a) = a² + 4
Calculate the f(-2) - g(-2) by putting value -2 in both function
f(-2) = 3(-2) + 5 = -6 + 5
f(-2) = -1
g(-2) = (-2)² + 4
g(-2) = 4 + 4
g(-2) = 8
Hence, f(-2) - g(-2) = -1 - 8 = -9
Therefore, the value of find f(-2)-g(-2), if f(a) = 3a + 5 and g(a) = a² + 4 is -9.
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Which figure has two sets of parallel sides?
Answer: Parallelogram
Step-by-step explanation: [Parallelogram definition]: A parallelogram is a quadrilateral with 2 pairs of parallel sides. In these figures, sides of the same color are parallel to each other. A shape with four sides of equal length.
To see a shape that is a parallelogram, look at the attachment down below:
the following results are from independent samples taken from two populations. sample 1 sample 2 n1
The t-statistic for these two sample is 3.80 with 73 df
T-value is a ratio of the difference between the mean of two samples sets an the variation exist within the sample sets .
The numerator value is difference of mean of two samples.
According to the question,
We have two different sample
Sample 1
n1 = 35 (sample size)
x1 = 13.6 (sample mean)
s1 = 5.8 (standard deviation)
Sample 2
n2 = 40
x2 = 10.1
s2 = 8.5
To calculate the t-value of difference of sample means
[tex]t = \frac{\bar{x_1} - \bar{x_2}}{\sqrt{\frac{s_1^2}{n_1} - \frac{s_2^2}{n_2}}}[/tex]
Substituting all the values
=> [tex]t = \frac{13.6-10.1}{\sqrt{\frac{5.8^2}{35} - \frac{8.5^2}{40}}}[/tex]
Solving ,
=> t = 3.5 / 0.9192
=> t = 3.807
With degree of freedom = n1 + n2 - 2
=> df =73
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Value of x on 10x+12=2
Answer:
[tex]x = -1[/tex]
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Addition
Subtraction
~
First, subtract 12 from both sides of the equation:
[tex]10x + 12 = 2\\10x + 12 (-12) = 2 (-12)\\10x = 2 - 12\\10x = -10[/tex]
Next, divide 10 from both sides of the equation:
[tex]10x = -10\\\frac{(10x)}{10} = -\frac{(10)}{10}\\ x = -\frac{10}{10} = -1\\ x = -1[/tex]
[tex]\textbf {x = -1}[/tex] is your answer.
~
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A student is ordering a flower arrangement. She can choose any combination of roses and carnations for her flower arrangement, and she does not want to spend more than $30.
If roses cost $3 each and carnations cost $2 each, which inequality represents all possible combinations of x roses and y carnations?
The inequality represents all possible combinations of x roses and y carnations is 3x+2y≤30.
What is meant by inequality?Different types of inequalities can be represented by a number of different notations. A relationship between two expressions or values that is not equal in mathematics is referred to as an inequality. To correct an inequality, take the following actions: Prior to subtracting any fractions, multiply each phrase by the sum of the least common denominators of all the fractions. Step 2: To make the inequality simpler, combine related terms on both sides. Step 3: To calculate the value of the unknown, subtract or add the amounts from the numbers on either side.
The cost of each rose flower is $3
The cost of each carnation is $2
The cost for x roses will be 3x$
The cost for y carnations will be 2y$
The overall cost must be less than or equal to $30
Therefore, 3x+2y≤30.
Hence, the inequality represents all possible combinations of x roses and y carnations is 3x+2y≤30.
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To properly examine the effect of a categorical independent variable in a multiple linear regression model we use an interaction term. group of answer choices true false
It is true that an interaction term can be used to properly examine the effect of a categorical independent variable in a multiple linear regression model.
How to examine the effect of a categorical independent?In a multiple linear regression model, an interaction term is a product of two or more independent variables. It allows the model to capture the effect of the interaction between the variables on the dependent variable.
For example, suppose you are using a multiple linear regression model to examine the relationship between income, education level, and job satisfaction. You might include an interaction term for education level and income, which would allow the model to capture the effect of the interaction between these two variables on job satisfaction.
Using an interaction term can be especially useful when you want to examine the effect of a categorical independent variable on the dependent variable since it allows you to control for the effects of other variables in the model.
Therefore, it is true
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TRUE/FALSE american television programs that cross cultural and linguistic frontiers are successful because they appeal to basic human values.
Answer: True
Step-by-step explanation:
They appeal to how humans are empathetic towards others who may not speak their language. Also, they are more inclusive and may talk about things considered "taboo".
Hope this helps! :)
Answer:
False
Step-by-step explanation:
In a parking lot with 200 cars, 50 cars are white, 30 cars are red, and 20 cars are silver. One car will be selected at random from the parking lot. If each car in the parking has only one color, which of the following cannot be the probability that the selected car will be green? O 0.2 O 0 O 0.1 O 0.6 O 0.5
0.6 gives the value of green cars 120 that is not possible in the problem, 0.6 can not be the probability of selected green car.
What is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Given:
total cars= 200
white cars= 100
red cars = 30
silver cars = 20
occupied space = 50+30+20 = 100
remaining space= 200- 100= 100
let number of green car in parking lot is 'x'
check every given probability of selecting a green car with x
according to question x <=(less than or equals to)100
p(prob. of green car) = x/200
a) 0.2
p=0.2
x/200= 0.2
x=0.2*200 = 40
b) 0
p=0
x/200=0
x= 0*200= 0
c) 0.1
p= 0.1
x/200 = 0.1
x= 0.1*200 = 20
d) 0.6
p = 0.6
x/200 = 0.6
x =0.6 * 200 =120
e) 0.5
p = 0.5
x/200 = 0.5
x= 0.5*200 = 100
Hence, 0.6 gives the value of green cars 120 that is not possible in the problem, 0.6 can not be the probability of selected green car.
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Which of the following best describes a function?[A] A special type of relation that pairs each domain value with exactly one range value. [B] A special type of relation that pairs each range value with exactly one domain value.
Option A. A special type of relation that pairs each domain value with exactly one range value. This means that for each input value, there is only one corresponding output value.
Which of the following best describes a function?Option A. A special type of relation that pairs each domain value with exactly one range value.A function is a special type of relation that takes an input value (domain) and maps it to exactly one output value (range). This means that for each input value, there is only one corresponding output value.
This type of relation is often represented graphically, with the domain values on the x-axis and the range values on the y-axis. Functions are also commonly represented using equations, which allows for more precise calculations. In many cases, the output value of a function is determined by a mathematical operation that is performed on the input value. In this way, functions can be used to model real-world phenomena, such as population growth or the trajectory of a rocket.
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calculate the flux of the vector field , through the square of side 8 in the plane , centered on the -axis, with sides parallel to the and axes, and oriented in the positive -direction.(a) Calculate the flux of the vector field F(x, y, z) = 2i - 4k through a sphere of radius 3 centered at the origin, oriented outward. Flux =
the flow through a sphere of radius 3 that is centered at the origin and facing outward of the vector field F(x, Y, Z) = 2i - 4k.Flux = (4πr3)F = (4π3^3)(2*i - 4*k) = 216πi - 864πk
the flux of the vector field F(x, y, z) = 2i - 4k through the square of side 8 in the plane, centered on the -axis, with sides parallel to the and axes, both of which are pointed in the right direction.
Flux = Area*F = (8^2)*(2*i - 4*k) = 128i - 256k
To calculate the flux of the vector field F(x, y, z) = 2i - 4k through a square of side 8 in the plane, centered on the -axis, with sides parallel to the and axes, and oriented in the positive -direction, we will use the formula for flux:
Flux = Area*F
Where F is the vector field, and area is the area of the square, which is 8^2. As a result, the flux can be determined as follows:
Flux = (8^2)*(2*i - 4*k) = 128i - 256k
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Eli wants to combine 0.5 gallons of a 10% acid solution with a 35% solution to make a 15% acetic acid solution. He needs to determine how many gallons of 35% solution are needed.
Eli decides to let v represent the volume of the 35% solution and makes a table to help solve the problem.
Help Eli by completing the table.
Drag each tile to the correct cell in the table.
The required volume of the 35% acetic acid solution that will combine with the 0.5 gallons of the 10% acetic acid solution to make a solution that is 15% acetic acid solution is 0.125 gallons, which indicates, using the dilution formula, that the correct options for the completed table are;
[tex]{}[/tex] Amount of Solution Acid Concentration Amount of Acid
10% Acid[tex]{}[/tex] 0.5 0.10 (0.10)·(0.5)
35% Acid [tex]{}[/tex] v 0.35 0.35·v
Mixture v + 0.5 [tex]{}[/tex] 0.15 0.15·(v + 0.5)
What is the dilution formula?The dilution formula indicates that the product of the concentration and volume of the initial solution is equivalent to the product of the concentration and volume of the intended solution to be made.
The volume of the 10% acetic acid solution in the mixture = 0.5 gallons
The volume of the 35% acetic acid solution = v
The concentration of the acetic acid solution Eli wants to make = 15%
The dilution formula for mixtures is; C₁·V₁ = C₂·V₂
Therefore; 0.1 × 0.5 + 0.35 × v = (v + 0.5) × 0.15
0.35 × v - (v + 0.5) × 0.15 = -0.1 × 0.5 = -0.05
0.2·v - 0.075 = -0.05
v = (0.075 - 0.05)/0.2 = 0.125
The volume of the 35% solution required, v = 0.125 gallons
The completed table is therefore;
[tex]{}[/tex] Amount of Solution Acid Concentration Amount of Acid
10% Acid [tex]{}[/tex] 0.5 0.10 (0.10)·(0.5)
35% Acid [tex]{}[/tex] v 0.35 0.35·v
Mixture v + 0.5 [tex]{}[/tex] 0.15 0.15·(v + 0.5)
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Kate Sanders, a researcher in the department of biology at IPFW University, studied the effect of agriculture contaminants on the stream fish population in Northeastern Indiana (April 2012). Specially designed traps collected samples of fish at each of four stream locations. A research question was: did the differences in agricultural contaminants found at the four locations alter the proportion of the fish population by gender? Observed frequencies were as follows.
Excel file: data12-05.xls
assb12h_ch12_12.5.gif
a. Focusing on the proportion of male fish at each location, test the hypothesis that the population proportions are equal for all four locations. Use a .05 level of significance.
1. assb12h_ch12_ex05a1.gif
2. assb12h_ch12_ex05a2.gif
3. assb12h_ch12_ex05a3.gif
Choose correct answer from above choice
- Select your answer -123Item 1
Ha: - Select your answer -All population proportions are equalNot all population proportions are equalItem 2
The p-value is - Select your answer -less than .005between .005 and .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 3
What is your conclusion?
- Select your answer -The population proportion of male fish are equal in all four locations.The population proportion of female equal in all four locations.The population proportion of male not equal in all four locations.The population proportion of female not equal in all four locations.Item 4
b. Does it appear that differences in agricultural contaminants found at the four locations altered the fish population by gender?
- Select your answer -YesNoItem 5
From the following obeservation done by Kate, the hypothesis that the population proportions is equal for all four locations is not true. Also, the population of male fish are not equal in all four locations and the p-value is greater than 0.10
What is a p- value or chi square test?A chi square ( χ2) test is performed in order to find a co relation between two unrelated variables. The main objective of the test is to prove whether the relationship holds true or is just a product of mere chance. For example, if we are conducting a survey of two different paramters, first being the population of people who are married and the other about their educational qualififcation, we will get two distinct table of values without any significant corelation. But now if we wnt to establish a relationship, lets say that married people have less educational qualifications, we need to prove our statement by performing a chi square test. The final value can either be a null hypothesis which states that their is no convinving relationship betwwen the two paramters or can be a alternate hypothesis with significant corelation.
How de we tackle this specific problem with the test?For this problem lets focus on the male fish population alone and perform the test:
Population (Observed)
A B C D TOT
Male fish 49 44 49 39 181
Female fish 41 46 36 44 167
90 90 85 83 348
Population(Expected)
Male fish 46.81 46.81 44.20 43.16
Female fish 43.18 43.18 40.79 39.83
χ2 = ∑[tex]\frac{(Obsereved-Expected)^2}{Expected}[/tex];
=[tex]\frac{4.79}{46.81} +\frac{7.89}{46.81} +\frac{23.04}{44.20} +\frac{17.30}{43.16}[/tex]
= 0.10+0.16+0.52+0.40 = 1.18
Now to calculate degree of freedom= (coulmn-1)(row-1)= 3×1= 3.
Looking at the reference table at 0.05 significance level, the value shows 7.815
Thus as our value of 1.18 is less than the given value, null hypothesis cannot be rejected.
Hence the population proportions are not equal at all four locations. Whether this conclusive difference in gender proportions is due to varied contaminants cant be answered with this single observation and further tests are needed to be performed to construct a well found connection.
For more information regarding chi square tests, follow the link: https://brainly.com/question/29415488
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Writing equations of lines
Write the equation of each line with the given information
Answer:
y = [tex]\frac{-3}{2}[/tex] x + 2
Step-by-step explanation:
I can see the slight tracings of the slope triangle. I can see that you went down 3 and right 2. That would be a slope of [tex]\frac{-3}{2}[/tex] and the y intercept is 2. That is where the line is crossing the y axis.
