The fundamental niche is the entire niche that an organism is capable of occupying if there was no competition. whereas, the realized niche is the niche occupied by the organism in the presence of competitors.
What is a niche?
This refers to the role an organism plays in an ecosystem/community.
Types of niches
.The fundamental niche: This refers to the organism that is capable of occupying if there were no competitors.
. The realized niche: This refers to organisms that exist in the presence of competitors. They are perceived to be less effective due to the presence of competitors.
Learn more about niches on
https://brainly.com/question/15902785
#SPJ1
If your local gasoline station raised its price by 20 percent, its sales of gasoline would decrease substantially
because your local gas station
a. has little or no market power.
b. is small relative to the size of the gasoline market.
c. is a competitive firm.
d. All of the above are correct.
d
The correct option d. All of the above are correct; for the sales of gasoline in local gasoline station.
Define the effect of price on sales?According to the law of demand, for almost all things, demand decreases as price increases.
In other words, if prices are raised, sales will decrease. Higher prices can, however, also translate into greater profits. The concept of the price effect examines how market prices affect consumer demand. Businesses may find it useful to analyse the pricing effect when determining the price at which to sell their products and services. Buyers often buy less when prices increase and vice versa if prices decrease.Because your neighbourhood gas station
has little or no market strength, its sales of gasoline would significantly decline if it increased its price by 20%.is little in comparison to the magnitude of the market for gasoline.is a business that competes.To know more about the effect of price on sales, here
https://brainly.com/question/1914246
#SPJ4
If an experiment is selecting a card from a deck of cards, then the sample space is.
The sample space is all the cards in the deck if an experiment involves choosing one card from a deck of playing cards.
Given statement,
If an experiment is selecting a card from a deck of cards, then the sample space is,
For the given case,
The sample space in this case is " all the cards in the deck "
Therefore, If an experiment is selecting a card from a deck of cards, then the sample space is all the cards in the deck.
To learn more about sample space click here:
brainly.com/question/28043513
#SPJ4
The time it takes NFL running backs to run the 40-yard dash follows a normal distribution with a mean time of 4.59 seconds and a standard deviation of 0.12 second. Let x = the time it takes an NFL running back to run the 40-yard dash. (Use the Empirical Rule. Write your answers as a percent.) (a) P(x < 4.23)
The Empirical Rule given helps in determining Let x = the time it takes an NFL running back to run the 40-yard dash and that P(x < 4.23) is =95%.
In Football, every play is made from both yardage benefit or yardage loss that is a calculation of a poor or advantageous number. With every byskip or run that the offense attempts, you need to upload the yardage that they made collectively to apprehend wherein they've superior to at the field.
Here we have that,
NFL= 40 yard run
x = the time it takes an NFL running back
[tex]mu=4.59 \\sigma= 0.12[/tex]
Using Empirical rule,
[tex](A)P(X)P(4.35 < x > = P( -2 < Z > = P\\\\(Zthe usage of empirical rule=95%/2 + 95%/2=47.5%+47.5%=95 %[/tex]\
Thus the P(x < 4.23) = 95%.
Read more about mean time:
https://brainly.com/question/21577204
#SPJ4
A law firm is going to designate associates and partners to a big new case. The
daily rate charged to the client for each associate is $400 and the daily rate
for each partner is $900. The law firm designated twice as many partners as
associates to the case and was able to charge the client $4400 per day for
these lawyers' services. Determine the number of associates assigned to the
case and the number of partners assigned to the case.
The required number of associates is 2 and the number of partners is 4.
What is arithmetic?
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Main body:
daily rate charged to the client for each associate = $400
daily rate charged to the client for each partner = $900
According to question :
The law firm designated twice as many partners as associates , that means
P=2A ---(1)
900*P +400A =4400 ---(2)
substitute the value of eqn (1) in (2).
900 *2A +400A = 4400
1800 A+400 A =4400
2200A =4400
A= 2
therefore P = 4.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ1
Prove algebraically that the difference between the squares of any two consecutive integers is equal to the sum of these two integers.
The proof for the difference between the squares of any two consecutive integers is equal to the sum of these two integers is done.
Define the term consecutive integers?Numbers that follow one another sequentially are known as consecutive numbers. Every time there are two numbers, there is a 1 difference. The mean and median of a sequence of numbers are equal. If n is just a number, then it follows that n, n+1, and n+2 are also numbers.Let x stand in for any integer.
The next integer (the one that comes after) should then be x+1.
The assertion calls for proof;
(x+1)² - x² = x+(x+1)
Address the left side;
= x² + x + x + 1² - x²
= 2x+1 (Left Hand Side Solution)
Now, work on the right side.
= x + (x + 1)
= 2x + 1
Since, the LHS=RHS (left hand side=right hand side) is obvious, subtracting the difference between two successive squared numbers equals adding the two integers.
To know more about the consecutive integers, here
https://brainly.com/question/12642794
#SPJ4
A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries negative 10, 0, 0, negative 4, negative 6, 0. Which is a y-intercept of the continuous function in the table? Group of answer choices (0, –6) (–2, 0) (–6, 0) (0, –2)
A y-intercept of the continuous function in the table is; (0, –6)
What is the y-intercept of the given function table?The y-intercept of a function is defined as the point where the graph intersects the y-axis. This means the point where the x-value is zero.
Now, from the function table given, we can see the coordinates of the function are given as;
(-4, 10)
(-3, 0)
(-2, 0)
(-1, -4)
(0, -6)
(1, 0)
Now, from the coordinates above , we can see that the only coordinate that has the x-value as zero is the one (0, -6) and as such by definition, it is the y-intercept.
Read more about y-intercept at; https://brainly.com/question/26249361
#SPJ1
For the beam and loading shown, (a) draw the shear and bending-moment diagrams, (b) determine the maximum absolute values of the shear and bending moment.
The maximum absolute values of the shear and bending moment is 2P and 3Pₐ respectively.
(a) Diagram is shown in image.
From A to B:
+∑Fy = 0: V = -P
+∑M₁ = 0: M = -P
From B to C:
+∑Fy = 0:
-P-P-V = 0
⇒ V = -2P
+∑M₂ = 0:
Pₓ+P(x - a)+M =0
⇒
M = -2Pₓ + Pₐ
(b) The maximum bending moment occurs in a beam, when the shear force at the section is zero or changes the sign because at point of contra fixture the bending moment is zero.
Therefore
|V|max = 2P
|M|max = 3Pₐ
To know more about Absolute values here
https://brainly.com/question/29564461
#SPJ4
suppose and . what does the tangent line approximation give as an approximation for ? 29.2 what does the tangent line approximation give as an approximation for ? (4*.1)/.1
Using tangent line approximation formula,
the tangent line approximation at x= 29.2 is
L(x) = 2x - 1 or L(29.2) = 57.4
Given a function f differentiable at tangent
x=a, we can find that the slope of the tangent of y=f(x) at (a,f(a)) can be found by writing . ). The resulting tangent line through (a,f(a)) and the gradient m=f'(a) is the point-gradient given by
y−f(a)=f'(a)(x−a) has an equation of the form This can also be expressed as y=f'(a)(x−a)+f(a).
Replacing the variable y by the expression L(x) yields
points (a, f( a)) called L(x)=f′(a)(x−a)+f(a). , L(x) is just the new name for the tangent, and
f(x)≈L(x) for x near a.
For example, suppose the function y=f(x) is known to have a tangent approximation at the point (1, 3) given by L(x)=3−2(x−1), but the function Other things about f.
we have given that,
f(x) = 2x - 1
x= 29.0 near to 29.2
f(29.0) = 58 - 1 = 57
f'(x) = 2
so, the point is (29.0, 57) and slope of tangent is 2 .
tangent line , 57 = 2(29) + b
=> b = -1
then equation is 2x - 1 = y
we to calculate tangent line approximation give as an approximation for at x = 29.2
tangent line approximation,
y = 2 (29.2) - 1 = 57.4
To learn more about Tangent line approximation, refer:
https://brainly.com/question/14291186
#SPJ4
Complete question:
suppose and f (x) = 2x - 1 , what does the tangent line approximation give as an approximation for x= 29.2??
Is linear and quadratic function the same?.
No. Linear functions and quadratic functions are not the same.
Given,
Linear function;-A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane. This function can be expressed as f(x) = 3x - 2 since y can be replaced with f(x).
Quadratic function;-A polynomial function of degree 2 known as a quadratic function is expressed in the generic form f(x)=ax2+bx+c. Where a0, real numbers a, b, and c are used. The graph of the quadratic function f(x)=x2 that squares an input value is shown below.
Difference between linear and quadratic function;When we graph a linear function, we get a straight line, however with a quadratic function, we get a parabola. In contrast to the slope of a linear polynomial, the slope of a quadratic polynomial is dynamic.
That is,
Linear functions and quadratic functions are not the same.
Learn more about linear and quadratic functions here;
https://brainly.com/question/20242925
#SPJ4
How do you calculate linear function?.
Answer:The linear function equation is the slope-intercept form. Thus, it is expressed as f(x) = mx + b where m is the slope and b is the y-intercept of the line.
Step-by-step explanation:
The linear function equation is the slope-intercept form. Thus, it is expressed as f(x) = mx + b where m is the slope and b is the y-intercept of the line.
What is a prime multiple?.
Prime multiples are numbers that add to make a prime. The sum of the factors 1 and 7 is 7. Consequently, 1 and 7 are the prime multiples of 7.
In the given question we have to explian about the prime multiple.
The numbers that result from multiplying the original number by any whole number are the multiples of that number. Prime multiples are hence numbers that add to make a prime. The sum of the factors 1 and 7 is 7. Consequently, 1 and 7 are the prime multiples of 7.
To learn more about prime multiple link is here
brainly.com/question/11799672
#SPJ4
What is 18.92 divided by11 equals 18.92 at the top 11 at the bottom explain your answer PLEASE I HAVE TO SUMMIT THIS IN 19 MIN!
Answer: 1.72
Step-by-step explanation:
18.92 ÷ 11 can be rewritten as: [tex]\frac{18.92}{11}[/tex].
Use long division to find the answer, as shown below:
Line m is parallel to the y-axis, and its slope is _____. negative undefined positive 0
Answer:
undefined slope
Step-by-step explanation:
a vertical line parallel to the y- axis has an undefined slope
The random variable X is normally distributed with a mean of 70 and a standard deviation of 10. What is the probability that X is between 72 and 84? (a) 0.683 (b) 0.954 (c) 0.271 (d) 0.340
The probability that the X is between 72 and 84 is 0.340 , the correct option is (d) .
In the question ,
it is given that ,
The random variable X is said to be normally distributed ,
the mean is given as , μ = 70 , and
standard deviation of normal distribution is (σ) = 10
probability that X is between 72 and 84 is written as P(72 < X < 84)
= P((72 - 70)/10 [tex]<[/tex] Z [tex]<[/tex] (84 - 70)/10)
= P(0.2 < Z < 1.4)
= P(0 [tex]<[/tex] Z [tex]<[/tex] 1.4) – P(0 [tex]<[/tex] Z [tex]<[/tex] 0.2)
From the z table , we get the values as
= 0.4192 – 0.0793
= 0.3399
≈ 0.340
Therefore , The probability that the X is between 72 and 84 is 0.340 , the correct option is (d) .
Learn more about Probability here
https://brainly.com/question/23990510
#SPJ4
the michner corporation is trying to choose between the following two mutually exclusive design projects: table Picture
If the required return is 10 percent then the profitability index for project 1 is 1.140 and project 2 is 1.284. If the company applies the profitability index decision rule, then project 2 should the firm accept.
In the given question, the michner corporation is trying to choose between the following two mutually exclusive design projects.
A1. Profitability index
Profitability index = present value of cash flow/initial investment
Project 1
Present value of future cash flows = 37600/(1+0.1)³
Present value of future cash flows = 93,505.634
Initial investment = 82,000
Now substitute values in formula
Profitability index = 93,505.634/82,000
Profitability index = 1.140.
Project 2
Present value of future cash flows = 11,200/(1+0.1)³
Present value of future cash flows = 27,852.742
Initial investment = 21,700
Now substitute values in formula
Profitability index = 27,852.742/21,700
Profitability index = 1.284
A2. Multiple choice.
The project with higher probability index should be accepted, therefore Project 2 should be accepted.
To learn more about profitability index link is here
brainly.com/question/28077968
#SPJ4
a courier company charges $15 plus $1.60 per pound to deliver packages. identify the independent and dependent variables, and write a rule in function notation for the given situation.
The rule in function notation for the courier company charge on delivery is
C = 15 + 1.6x
Independent variables are the ones that you include in the model to explain or predict changes in the dependent variable.
The dependent variable is what you want to use the model to explain or predict. The values of this variable depend on other variables. It is the outcome that you’re studying. It’s also known as the response variable, outcome variable, and left-hand variable.
Given in the question,
A courier company charges $15 plus $1.60 per pound to deliver packages
Here , the dependent variable is cost of delivery because it is depending on how much a packages is weighting
The independent variable here is the weight of package because it doesn't depend on anything.
Let the cost of delivery be C and weight of package be x
The function for the charge will be :
C = 15 + 1.6x
To know more about Independent and dependent variable here
https://brainly.com/question/1479694
#SPJ4
Solve for x: 2 over 10 equals 3 over quantity x minus 9 9 10 16 24
The value of x is 24
What is the solution to an equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.
2/10 = 3/(x-9)
Do cross multiplication
2(x-9) = 10*3 = 30
2x-18=30
2x=30+18=48
x=48/2=24
So, the value of x is 24
To learn more about the solution of an equation from the given link
https://brainly.com/question/22688504
#SPJ1
How much time do americans spend eating or drinking? suppose for a random sample of 101 Americans, the mean time eating or drinking per day is 73.2 minutes with a simple standard deviation of 39 minutes. construct and interpret a 98% confidence interval for the mean amount of time ameri- cans spend eating or drinking per day.
A 98% confidence interval for Americans' average daily eating and drinking time is (64.172, 82.228)
Given data,
How long do Americans spend drinking or eating? Let's say that, for a representative sample of 101 Americans, the daily average for eating or drinking is 73.2 minutes, with a straightforward standard deviation of 39 minutes. Create and analyze a 98% confidence interval for Americans' average daily eating and drinking time.
Let,
c = 98% = 0.98
n = 101
Mean μ = 73.2
Standard Deviation σ = 39
Now,
To analyze a 98% confidence interval for Americans' average daily eating and drinking time, we have;
CI = μ ± Z * σ/√n
CI = 73.2 ± 2.326 * 39/√101
= 73.2 ± 9.028
= 64.172, 82.228
Hence, the average daily calorie intake for Americans is within a 98% confidence zone (64.172, 82.228).
To learn more about Mean click here:
brainly.com/question/23631778
#SPJ4
What is the unit digit in the product 365 x 659 x 771 )?.
5 is unit digit in the product .
What do Units digits mean?
The digit that goes in the place of one in a number is known as the units digit. It is the number's last digit on the right, for example.For instance, the units digit for 243 is 3 and for 39 it is 9.The Unit Place Digit refers to the digit placed in the one's position of the particular number.unit digit of (365 x 659 x 771 )
unit digit of ( 5× 9 × 1 )
unit digit of ( 45)
5 is unit digit in the product .
Learn more about Units digit
brainly.com/question/24111947
#SPJ4
What are the reasons for the increase in the number of interest groups ?.
Over the past forty years, there has been a sharp rise in the quantity and variety of interest groups. .
What exactly are state and federal jurisdictions?In general, federal courts handle cases involving federal law, while state courts hear cases involving state law. Because most crimes are violations of local or state law, state courts typically hear criminal cases.
What are the three categories of federal authority?The 94 District Courts (trial courts), 13 Courts of Appeals (intermediate appellate courts), and the United States Supreme Court are the three main categories of federal courts within the federal system (the court of final review).
The three main causes of this surge are the "New Politics" movement, the increase of the role of government, and grassroots conservative action. Federal jurisdiction over a wide variety of public policy problems was expanded throughout the 1960s and 1970s, and there was a matching rise in the number of interest organizations that could exert pressure on elected officials
To know more about federal jurisdictions visit:
https://brainly.com/question/4932589
#SPJ4
Suppose A is an invertible n×n matrix and v is an eigenvector of A with associated eigenvalue 4. Convince yourself that v is an eigenvector of the following matrices, and find the associated eigenvalues:
A4, eigenvalue = ?
A−1, eigenvalue = ?
A+4In, eigenvalue = ?
2A, eigenvalue = ?
The eigenvector of matrix A4 is 4096.
The eigenvalue of the matrix A-1 is 1/8.
(A+4I) has an eigenvalue of 12.
40 is the eigenvalue of 5Av.
The collection of scalar values known as the eigenvalues of a matrix are connected to the set of linear equations that are most likely contained within the matrix equations.
The eigenvectors are also known as the characteristic roots.
If the matrix A's eigen vector v is linked to an eigen value.
Av then equals lamda v.
The fact that v is an eigen vector of A with the value eight is assumed.
hence, Av = 8v.
We must determine the eigenvalue of A4.
A4*v equals A3(8v) = 84*v equals 4096v.
As a result, the eigenvalue of A4 is 4096.
Suppose A has an eigenvalue of 8. The eigenvalue of A-1 is thus 1/8.
It is calculated that the eigenvalue of (A+4I) is (A +4In)v = Av + 4v = 8v + 4v =12v.
(A+4I) has an eigenvalue of 12.
The value of 5Av's eigenvalue is 5Av = 5*8v = 40v.
40 is the eigenvalue of 5Av.
Learn more about the eigen vectors here:
https://brainly.com/question/15423383
#SPJ4
A student stand 8meters away from a tree which is a metre tall. the student look at the top of the tree on a fruit. how far away is the student from the fruit?
Answer:
8.06 m
Step-by-step explanation:
Assuming the tree forms a right angle with the ground, the distance from the student to the tree represents the hypotenuse of a right triangle.
The hypotenuse can be found using the Pythagorean Theorem.
[tex]a^2+b^2=c^2\\a=8m\\b=1m\\c^2=(8m)^2+(1m)^2\\c^2=65m^2\\c=\sqrt65m^2\\c=8.06m[/tex]
Which number line represents the solution set for the inequality 4 x 3 ≤ 2 2x?.
The number line which represents the solution set for the inequality is
x ≤ -5.
What is number line?
In elementary mathematics, a number line may be a image of a graduated line that is visual illustration of the important numbers. each purpose of variety|variety} line is assumed to correspond to a true number, and each real to a degree.
Main body:
[Given]=
-4(x + 3) ≤ -2 - 2x
Using the distributive property of multiplication on LHS
-4x-12 ≤ -2 - 2x
By transposing the terms with variables on one side and the constant on the other side
- 4x + 2x ≤ –2 + 12
By further calculation
- 2x ≤ 10
Divide both sides by -2
x ≤ -5
Therefore, x ≤ -5 represents the solution set.
To know more about number line , visit:
brainly.com/question/12399107
#SPJ4
What is the image point of (-9, -5) after the transformation T -5,0 of D2?
(-14, -5) is the image point of (-9, -5) after the transformation T(-5,0)
How to find the image of a point after transformation?Transformation is defined as the change in the position of a point, a line or a geometric figure
Given: point (-9, -5) with transformation T (-5,0)
This implies there is a change in the position of the original point by (-5, 0). Thus, the image point can be determined as follows:
image point = (-9, -5) + (-5,0)
= (-9+(-5), -5+0)
= (-14, -5)
Therefore, the image point is (-14, -5)
Learn more about Transformation on:
https://brainly.com/question/27224272
#SPJ1
What is the leading coefficient of a polynomial example?.
The leading coefficient of a polynomial is the coefficient of the leading term. In the above example 7+x−3x^2, the leading coefficient is −3.
A polynomial's leading coefficient is the coefficient of the leading term. In the preceding example, the leading coefficient is 3.
The leading coefficient of a polynomial is the coefficient of the leading term. In the preceding example, the leading coefficient is -3. (called that because the "standard notation" manner of writing polynomials has the terms organized from terms with high powers down to the constant term).
The term with the greatest power of x in a polynomial function is called the leading term. The leading coefficient is the leading term's coefficient.
The numbers written before the variable with the greatest exponent are known as leading coefficients. They, like regular coefficients, can be positive, negative, real, or imaginary, in addition to being whole numbers, fractions, or decimals. For example, the highest exponent in the equation -7x^4 + 2x^3 - 11 is 4.
For more information on leading coefficient of a polynomial, visit :
https://brainly.com/question/12914312
#SPJ4
What kind of equation of a line is Y y1 M x x1 )?.
Slope intercept form of equation of a line is described by y - y1 = m(x - x1)
The are three kinds of equation of a line
a) point intercept form
b) slope point form
c) point point form
The formula y - y1 = m(x - x1) is usually described as the 'point-slope form' for the equation of a line.
where m represents the slope of the line and x1 and y1 is the point given through which the line passes.
It is useful when one point on a certain line and the slope of that certain line is known, then the equation of the line can be structured using this form.
Thus, the slope intercept form of equation of a line is described by y - y1 = m(x - x1)
To learn more about slope refer here
https://brainly.com/question/6497976
#SPJ4
Point p is at (1,6) and point q is at (7,2) what is the midpoint of line PQ
The midpoint of line PQ is (4,4).
What is the midpoint?
A location that is halfway between two other points is considered to be a line segment's midway. The distance between the midway and each endpoint is the same.
Midpoint formula:
{(x₁ + x₂)/2, (y₁ + y₂)/2}
Here, we have
Given points P(1,6) and Q(7,2)
Now we apply the midpoint formula and get
= {(x₁ + x₂)/2, (y₁ + y₂)/2}
= {(1 + 7)/2 , (6 + 2)/2}
= (8/2, 8/2)
= (4,4)
Hence, the midpoint of line PQ is (4,4)
To learn more about the midpoint from the given link
https://brainly.com/question/18315903
#SPJ1
Which pair of triangles are congruent by the SSS congruence postulate?.
The pair of triangles given in the option B are congruent by the SSS congruence postulate.
What is SSS congruence postulate ?
A type of triangle congruence rule called Side-Side-Side (SSS) asserts that two triangles are congruent if their three sides are equal to their respective three sides of another triangle. When the dimensions of the matching sides and angles of two or more triangles match, the triangles are said to be congruent.
All sides are congruent to each other. I, II, and III symbols are present.
To learn more about the SSS congruence postulate from the given link
https://brainly.com/question/28859692
#SPJ4
find the area of the shape either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal
The area of a sector from the given figure is 50.24 square units.
From the given figure, radius of sector =8 units and the central angle =90°.
What is area of a sector?The area of a sector is the space inside the section of the circle created by two radii and an arc. It is a fraction of the area of the entire circle.
The formula to find the area of a sector = [tex]\frac{\theta}{360^o} \times\pi r^2[/tex].
Here, r=8 units and θ=90°
Using the area of a sector formula, we get
90°/360° ×3.14×8²
= 0.25×3.14×64
= 50.24 square units
Therefore, the area of a sector from the given figure is 50.24 square units.
Learn more about the area of a sector here:
https://brainly.com/question/7512468.
#SPJ1
in a manufacturing process, a random sample of 36 manufactured bolts has a mean length of 3 inches with a standard deviation of .3 inches. what is the 99 percent confidence interval for the true mean length of the manufactured bolt?
The 99% confidence interval for the true mean length of the manufactured bolt is (2.9177, 3.0823)
Here, we need to construct a 99% confidence interval for population mean (μ) is given by
μ = x + Zα/2 * σ/√n or μ = x - Zα/2 * σ/√n
where, μ = population mean
x = sample mean
= 3 inches
σ = population standard deviation
= 0.3 inches
Zα/2= z score for a two tailed test at level of significance α = 2.576( for a 99% confidence level)
So, the upper limit would be,
μ = 3 + 1.645 * (0.3/√36)
μ = 3 + 1.646 * (0.3/6)
μ = 3.0823
And the lower limit would be,
μ = 3 - 1.645 * (0.3/√36)
μ = 3 - 1.646 * (0.3/6)
μ = 2.9177
Hence, the 99% confidence interval is (2.9177, 3.0823)
Learn more about confidence interval here:
https://brainly.com/question/24131141
#SPJ4
