The y-intercept of the line that passes through the two points (-3, -5) and (3, -1) is -3.
What is the y-intercept of the line?
A line's y-intercept is the value of y at which the line crosses the y-axis. In other words, it is the value of y when x is equal to zero.
The given points are (-3, -5) and (3, 1).
By using a two-point form of the line
[tex]\frac{x-x_1}{x_1-x_2} = \frac{y-y_1}{y_1-y_2}\\[/tex]
[tex]\frac{x-(-3)}{-3-3} = \frac{y-(-5)}{-5-(-1)}\\\\\frac{x+3}{-6}=\frac{y+5}{-4}\\\\-4x-12=-6y-30\\\\6y=4x-30+12\\\\6y=4x-18[/tex]
This equation can be written as
[tex]y =\frac{4x}{6}-\frac{18}{6}\\\\y=\frac{2x}{3}-3[/tex]
Now comparing with the slope-intercept form of the line 'y = mx + c'
then y-intercept (c) = -3.
Hence, the y-intercept of the line that passes through the two points (-3, -5) and (3, -1) is -3.
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What is the slope of this graph?
Responses
Answer:
slope = -4
Step-by-step explanation:
A (-2,5)
B (0, -3)
slope = (-3-5)/(0-(-2)
-8/2
-4
The F distribution's curve is positively skewed.
T/F
Answer: True
Step-by-step explanation:
-The f-distribution curve is positively skewed towards the right with a range of 0 and ∞
The value of F is always positive or zero. It never has negative values.
The profit from the production and sale of specialty hats is given by the function () =
30 – 6000 where x is the number of hats produced and sold
a. Producing and selling how many units will give us a profit of $60,000?
b. How many units must be produced and sold to avoid a loss?
c. Sketch a graph of () = 30 – 6000 and use that graph to verify your answers for a
and b. Make sure you show the scale of your graph.
a) Producing and selling 2200 units will give us a profit of $60,000
b) The number of units that must be produced to avoid a loss is; 200 units
c) The graph of P(x) = 30x - 6000 is as shown in the attached file
How to solve profit functions?We are given the profit function as;
P(x) = 30x - 6000
where x is the number of hats produced and sold.
a) To get a profit of $60000, we will solve for x as;
30x - 6000 = 60000
30x = 66000
x = 66000/30
x = 2200
b) The number of units that must be produced to avoid a loss is;
P(x) = 0
30x - 6000 = 0
30x = 6000
x = 6000/30
x = 200 units
c) The graph of the profit function is as attached.
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serena's company decided to reduce the number of levels within the job structure and as a result, she has 20 more people who report to her. her company implemented .
Serena's company implemented the process of Delayering.
Process of Delayering:To improve operational efficiency, delayering is the act of removing levels of hierarchy between the top and bottom levels of staff.
Delayering often involves the removal of intermediate managers, giving top managers better access to the business as a whole and fostering the necessary openness.
The delayering process has benefits and drawbacks of its own. Although the employer can lower pay costs, the company's ability to make decisions may suffer as a result of top managers' diminished visibility.
Delayering is helpful for reducing bureaucracy and increasing flexibility in the organizational structure. Additionally, it enhances internal communication and participation. Other advantages include increased drive and empowerment.
Given that
Serena's company decided to reduce the number of levels within the job structure and as a result, she has 20 more people who report to her. her company implemented.
By the given observation about Delayering, we can conclude that the company implemented the process of Delayering.
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What should be added to the terms of the ratio 1:2 to make it 2:1 ?
Which equation represents the partial sum of the geometric series? 125 + 25 + 5 + 1.
The correct option which represents sum expressed in sigma notation is A.
What is sigma notation?
A series is represented in an exceedingly compact type, referred to as summation or sigma notation. The greek capital letter, ∑ , is employed to represent the total.
The series 4+8+12+16+20+24 is expressed as ∑n= 4n . The expression is browse because the total of 4n as n goes from one to six . The variable n is termed the index of summation.
The geometric series.
Main body:
∑ 125 (1/5)ⁿ⁻¹ ; where, n = 1 to 4.
Now, Calculate the partial sum of the geometric series as;
The geometric series = ∑ 125 (1/5)ⁿ⁻¹
Substitute n = 1, 2, 3, 4, we get;
= 125 (1/5)¹⁻¹ + 125 (1/5)²⁻¹ + 125 (1/5)³⁻¹ + 125 (1/5)⁴⁻¹
= 125 (1/5)⁰ + 125 (1/5)¹ + 125 (1/5)² + 125 (1/5)³
= 125 + 25 + 125/25 + 125/125
= 125 + 25 + 5 + 1
Thus, The partial sum of the geometric series is;
⇒ 125 + 25 + 5 + 1
Option A is true.
The correct question is in the figure.
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show that if f is a function from s to t, where s and t are finite sets with |s| > |t|, then there are elements s1 and s2 in s such that f(s1)
T|=|S|⟹ there is bijection F:S→T.
What are bijection function?A bijection is a function between the elements of two sets in mathematics that is also referred to as a one-to-one correspondence, an invertible function, or a bijective function.
In this function, each element of one set is paired with exactly one element of the other set, and each element of the second set is paired with exactly one element of the first set.
No elements are left unpaired. A one-to-one (injective) and onto (surjective) mapping of a set X to a set Y is known as a bijective function, or f: X Y in mathematics.
One-to-one function (an injective function; a bijection from the set X to the set Y has an inverse function from Y to X) should not be confused with one-to-one correspondence. X and Y must be finite if.
According to our question-
The function f:ST |S||T| has an injective and not a surjective nature.
Assume an injective function exists: g:TS|T||S|. |T|=|S|
(this follow from the Cantor-Bernstein theorem).
|T|=|S|⟹ F:S:T has a bijection.
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For a moving object, the force acting on the object varies directly with the object's scceleration. When a force of 90 N acts on a certain object, the acceleration of the ebject is 9m^(2)s^(2), If the force is changed to 100N, what will be the acceleration of the object?
The acceleration if the object when force is 100N is 10 meters per seconds squared
How to find the acceleration of the objectGiven the direct variation relationship
force , f α acceleration, a
f = ka
k = constant of variation
solving for k
90 = k * 9
k = 90/9
k = 10
when force is 100N
100 = 10 * a
a = 100 / 10
a = 10
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On a number line, point d is at -6, and point e is at 8. point f lies between points d and e. if is , where does point f lie on the number line? point f is at on the number line.
The point F lies on 4.5 in the number line.
What is the number line?
The number line is a One dimensional representation of point referring by a number only.
We know that if a point divides a line joining the points at x, y in the number line respectively in m:n ratio then that point lies on
= (my+nx)/(m+n) in the number line.
Here in the given problem that,
Point D lies on -6 in the number lin
Point E lies on 8 in the number line
And F lies between D and E points and DE:EF = 3:1
So the point F clearly divides the staright line DE joining the point D at -6 and E at 8 in 3:1 ratio.
So the point F lies on = (1*(-6)+3*8)/(3+1) = (-6+24)/4 = 18/4 = 4.5
Hence, the point F lies on 4.5 in the number line.
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Determine which integer will make the inequality 5x + 12 > 2x + 6 false.
S:{−3}
S:{3}
S:{−1}
S:{1}
Answer:
-3
Step-by-step explanation:
we just fill in x to see if it is true
5(-3)+12>2(-3)+6
-15+12>-6+6
-3>0
false
5(3)+12>2(3)+6
15+12>6+6
27>12
true
5(-1)+12>2(-1)+6
-5+12>-2+6
7>4
true
5(1)+12>2(1)+6
5+12>2+6
17>8
true
Hopes this helps please mark brainliest
Levi is going to invest $3,700 and leave it in an account for 17 years.
Assuming the interest is compounded daily, what interest rate, to the
nearest tenth of a percent, would be required in order for Levi to end
up with $6,100?
Answer:39.3 percent
Step-by-step explanation:
3700 out of 6100 is 39.34 percent
pls help right now I need help
giving brainliest
this is reading btw
Answer:
The answer is A
Step-by-step explanation: I'm so smart
An electronic manufacturer determine that the profit P (in dollar) obtained by producing x unit of a DVD player and y unit of a DVD recorder i approximated by the model P(x, y) = 8x 10y − (0. 001)(x2 xy y2) − 10, 000. Find the production level that a maximum profit. What i the maximum profit?
The production level that a maximum profit is 186000 and the maximum profit will at the points of (200, -4000) , under the concept of absolute maximum value.
The P(x, y) = 8x+ 10y − (0. 001)(x²+ xy+ y²) − 10, 000, the first partial differentiate of the given equation with respect to x and y,
Px= ( 8x+ 10y − (0. 001)(x²+ xy+ y²) − 10, 000) = 8-0.001(2x-y) ....2
Py= 8x+ 10y − (0. 001)(x2+ xy+ y2) − 10, 000) = 10-0.001(x-2y) ... 3
Considering the above equation to be equal to zero :
=>8-0.001(2x-y) =0 =>0.001(2x-y) =8 .....4
=>10-0.001(x-2y) =0 =>0.001(x-2y) = 10 ...5
Solving the equations 4 and 5 we get the lues of x and y we get are :
x= 2000, and y = -4000 , Now the partial differentiate for the equations 2 ad 3 are with respect to x and y :
pxx(x,y)=-0.002
pyy(x,y)= 0.002
pxy(x,y) =-1
The discriminant of the function wil be at (2000,-4000):
D = 0.002*-0.002 -(-1)^2 =-1.0004 ,here D <0, so the critical values (200, -4000) reaches the maximum value .So the production level will be :
P(2000, -4000) = 8x+ 10y − (0. 001)(x2+ xy+ y2) − 10, 000 = 186000
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the vertices of a triangle are p(-2, -4), q(2, -5) and r(-1, -8). name the vertices of the triangle after arefelction over the y-axis
The vertices of the triangle after reflection over the y - axis are P'(2,-4) , Q'(-2 , -5) and R'(1 , -8) .
In the question ,
it is given that ,
the vertices of the triangle PQR are P(-2, -4), Q(2, -5) and R(-1, -8),
we have to write the coordinates after reflection over y axis .
we know that the coordinate (x,y) after reflection over y axis become (-x,y).
So , the coordinate P(-2 , -4) after reflection is P'(2,-4) .
the point Q(2,-5) becomes Q'(-2 , -5) .
the vertex R(-1 , -8) becomes R'(1 , -8) .
Therefore , the vertices of the reflected triangle are P'(2,-4) , Q'(-2 , -5) and R'(1 , -8) .
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the hudson valley renegades stadium hold a maximum of 4,505 people. During the height of their popularity, they sold out 219 consecutive games. how many tickets were sold during this time?
Answer:
Step-by-step explanation:
4,505 tickets were sold 219 times.
4,505 x 219
The answer is 986,595
a publisher reports that 76v% of their readers own a particular make of car. a marketing executive wants to test the claim that the percentage is actually different from the reported percentage. a random sample of 200200 found that 71q% of the readers owned a particular make of car. is there sufficient evidence at the 0.010.01 level to support the executive's claim? step 2 of 7 : find the value of the test statistic. round your answer to two decimal places.
The value of the test statistic is -1.72.
It is given that, a publisher reports that 76% of their readers own a particular make of car.
At the null hypothesis we test, if the proportion is of 76%
⇒ H₀ : p = 0.76
At the alternate hypothesis, we test if the proportion is different from 76%
⇒ H₁ : p ≠ 0.76.
We know the test statistic is,
z = x - μ / (σ/[tex]\sqrt{n}[/tex])
where x is the sample mean,
μ is the value tested at the null hypothesis,
σ is the standard deviation
and n is the size of the sample.
Therefore 76% tested at the null hypothesis
⇒μ = 0.76 and σ = [tex]\sqrt{0.76 * 0.24}[/tex]
Now a random sample of 200 found that 71% of the readers owned a particular make of car.
⇒ n = 200 and x = 0.71
then the value of test statistic implies that,
z = (0.71 - 0.76) /([tex]\sqrt{0.76 * 0.24}[/tex] / [tex]\sqrt{200}[/tex])
= - 0.05 /(0.42/14.14)
= - 0.05 / 0.029
z = - 1.72
So z = -1.72 has a p value 0.4272.
implies that 0.01 * 0.4272 =0.04272
So 0.042 > 0.01
which means that there is not sufficient evidence at the 0.01 level to support the executive's claim.
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If Jodie works on the computer for 6 hours every 2 days how many hours will she work on the computer in 14 days?
[tex]\begin{array}{ccll} hours&days\\ \cline{1-2} 6 & 2\\ x& 14 \end{array} \implies \cfrac{6}{x}~~=~~\cfrac{2}{14} \implies \cfrac{6}{x}=\cfrac{1}{7}\implies 42=x[/tex]
Answer: 42 hours
add 6 every 2 days
evaluate the sum of 4.2 and 466.99
The sum of decimals 4.2 and 466.99 evaluates to 471.19
How to evaluate the sum of decimals?
Decimals are numbers that consist of two parts namely, a whole number part and a fractional part separated by a decimal point e.g 2.35
Given: 4.2 and 466.99
To evaluate the sum of 4.2 and 466.99, you simply need to add the two numbers. Arrange the numbers as shown below and add as you would add other numbers.
4.2
466.99
.................
471.19
................
Therefore, the sum 4.2 and 466.99 is 471.19
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What is the percent of increase from 25 to 50?
Answer: 100% increase
Step-by-step explanation:
Explain how you can model 3 x 2/4
The value of [y] will be 1.
What is a expression? What is a mathematical equation? What is degree of a equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Degree of equation is the highest power of x in the given equationGiven is the following expression -
y = 2 x (2/4)
We can write the value of [y] as -
y = 4/4 = 1
y = 1
Therefore, the value of [y] will be 1.
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Roman numeral representing least 3 digit number is??
The solution is Option 4.
Roman numeral representing the least 3 digit number which is 100 is C
The Roman numeral for 100 = C
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the least 3 digit number be A
Now , the value of A = 100
where 100 is the lease 3 digit number
And , the Roman numeral for 100 is given by C
Therefore , the value of 100 in Roman Numeral is C
Hence , The Roman numeral representing the least 3 digit number which is 100 is C
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The ale tax on a car that old for $13,500 i $910. At thi rate, how much higher i the tax on a car that ell for $16,500
The tax on a car that sells for $16,500 at the rate of 6.7% is $195.5 higher.
What is the percentage?
A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.
We have,
First car price is = $13,500
and tax of the first car is = $910
Second car price is = $16,500
and tax of the second car is = ?
so,
$13,500 ----- 100,
$910 ----- x
x = 910 * 100 / 13500
x = 6.7
therefore, the rate of tax is 6.7%
so, we will calculate the tax for the second car,
$16,500 ----- 100,
y ----- 6.7
y = 6.7 * 16,500 / 100
y = $1105.5
difference of tax price between two cars = $1105.5 - $910 = $195.5
Hence, the tax on a car that sells for $16,500 at the rate of 6.7% is $195.5 higher.
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50 Points!!! Are RHS and HL triangles the same? Yes or no? Explain.
Answer:
Yes------------------
RHS and HL refer to same thing.
A right angled triangle has one hypotenuse and two sides.
If the hypotenuse and one side of one triangle is congruent to hypotenuse and one side of another triangle, then the two triangles are congruent.
We know sides of a right triangle are also called the hypotenuse and legs. RHS is also called HL because they both refer to hypotenuse and one side or leg.
33. Let M2x2 be the vector space of all 2x 2 matrices, and define T : M2x2 → Mo by T(A) A + AT, where a. Show that T is a linear transformation. b. Let B be any element of M2 c. Show that the range of T is the set of B in M2x2 with the d. Describe the kemel of T such that BT B. Find an A in M2xz such that T(A) B property that B B
a) T( K₁A₁+K₂A₂)= K₁T(A₁)+K₂T(A₂). So, T is a linear transformation.
b) T(A)=B, if B be any element of M₂
c) Range of T=={A∈ [tex]M_{ 2*2}[/tex]/[tex]A^{T}[/tex]=-A}
What is meant by matrix?A matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns that is used to represent a mathematical object or an attribute of such an item.
A square matrix's determinant is a number connected with the matrix that is crucial for studying a square matrix; for example, a square matrix is invertible if and only if it has a nonzero determinant, and a square matrix's eigenvalues are the roots of a polynomial determinant.
Define T: [tex]M_{ 2*2}[/tex] ⇒ [tex]M_{ 2*2}[/tex] by T(A)=A+[tex]A^{T}[/tex]
a) Let T is a linear transformation
Consider K₁A₁+K₂A₂ ∈ [tex]M_{ 2*2}[/tex]
T( K₁A₁+K₂A₂)= K₁A₁+K₂A₂+( K₁A₁+K₂A₂)[tex]( K₁A₁+K₂A₂)^{T}[/tex]
= K₁T(A₁)+K₂T(A₂)
T( K₁A₁+K₂A₂)= K₁T(A₁)+K₂T(A₂)
Therefore, T is a linear transformation.
b) Let B∈ [tex]M_{ 2*2}[/tex] such that [tex]B^{T}[/tex]=B
Therefore, B is a symmetric matrix.
Let A=(1/2)B∈ [tex]M_{ 2*2}[/tex]
T(A)=A+[tex]A^{T}[/tex]
=(1/2)B+[tex](1/2B)^{T}[/tex]
T(A)=B
A=(1/2)B such that T(A)=B
c) Range of T is the set of B in [tex]M_{ 2*2}[/tex], [tex]B^{T}[/tex]=B
T( [tex]M_{ 2*2}[/tex])={B∈ [tex]M_{ 2*2}[/tex]/ [tex]B^{T}[/tex]=B}
d) Kernel of T={A∈ [tex]M_{ 2*2}[/tex]/T(A)=0)
={A∈ [tex]M_{ 2*2}[/tex]/A+[tex]A^{T}[/tex]=0}
={A∈ [tex]M_{ 2*2}[/tex]/[tex]A^{T}[/tex]=-A}
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Three points Assuming M22 is the vector space containing all 22 matrices, T: M22 M22 is defined as T(A) = A + AT.
T is a linear transformation, therefore demonstrate it.
b) Assume that B is any element from M22 where BT = B. In M22, look for an A such that T(A) = B.
c) Explain the T kernel.
a) Verifying that T preserves sums and multiplication by scalars—which implies that T(0) = 0 in particular—is sufficient to determine if T is linear.
Additions: T(A+B) = A+B+A+B T = A+B+A T +B
T = (A + A T ) + (B + B T ) = T(A) + T (B).
Scalar multiplication
T(c · A) = (c · A)
T = c · A
T = c · T(A) (A).
b) Calculate A = 1 2B. Since AT = 1 2BT = 1 2B, T(A) = A + A.
T = \s1 \s2 \sB + \s1 \s2 \sB = B.
c) If 0 0 0 0 = A + A, then and only if A = a b c d, A is in the kernel of T.
If and only if 2a = b + c = 2d = 0, i.e., a = d = 0 and c = b, then T = a b c d + a c b d = 2a b + c b + c 2d. Therefore, the set ker(T) = 0 b b 0 : b R is the kernel of T.
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In a company, 90% of the workers are woman. If 430 people work for the company who aren’t woman, how many workers are there in all? Use pencil and papare. Show two different ways that you can solve this problem
4300 workers are there in all.
What is algebra?
One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for using these symbols in formulas.
Here, we have
In a company, 90% of the workers are women.
430 people work for the company who aren’t women.
% of male = 10%
Now,
10% of x = 430
10÷100 × x = 430
x = 4300
Hence, 4300 workers are there in all.
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PLEASE PLEASE PLEASE HELP ME. I HAVE BEEN STUCK ON THIS PROBLEM FOR 30 MINUTES OR MORE AND I KEEP GETTING IT WRONG
find the missing information.
arc length 40 cm
radius?
central angle 20 degrees
round to the nearest thousandth
Answer:
360
Step-by-step explanation:
You have degrees, so just plug stuff in and cross multiply. This gives you 20π=180*(x radians). (x is what we're solving for.) Solving gives x= π/9 radians.
Now we know θ in terms of radians. We can just plug our numbers in and solve!
40=r(π/9)
Divide by π/9 to get r=360/π cm!
7. over the past 30 years, the sample standard deviations of the rates of return for stock x and stock y were 0.20 and 0.12, respectively. the sample covariance between the returns of x and y is 0.0096. to determine whether the correlation coefficient is significantly different from zero, the appropriate hypotheses are: .
The appropriate hypotheses to determine whether the correlation coefficient is significantly different from zero is given as follows:
Null hypothesis: [tex]H_0: r^2 = 0[/tex].Alternative hypothesis: [tex]H_0: r^2 \neq 0[/tex].What are the null and the alternative hypothesis?The claim in this problem is given as follows:
The correlation coefficient is significantly different from zero.
At the null hypothesis, it is tested if there is not enough evidence to conclude that the claim is true, that is, not enough evidence to conclude that the correlation coefficient is significantly different from zero, hence:
[tex]H_0: r^2 = 0[/tex].
At the alternative hypothesis, it is tested if there is enough evidence to conclude that the claim is true, that is, enough evidence to conclude that the correlation coefficient is significantly different from zero, hence:
[tex]H_1: r^2 \neq 0[/tex].
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PLEASE HELP ME
What is the y-intercept of this line?
I keep getting confused someone please help me and explain it better to me
Answer:
2
Step-by-step explanation:
The y-intercept is the point at which the graph crosses the y-axis.
(I have marked it in blue on the attached graph).
From inspection of the given graph, the line crosses the y-axis at point (0, 2). So the y-intercept is 2.
О
A
13x + 13
7x+7
60°
с
B
Answer:
x = 9
Step-by-step explanation:
(7x + 7) + 60 = 13x + 13 (exterior angle)
7x + 67 = 13x + 13
6x = 54
x = 9
A study sought to determine if the ancient Chinese art of acupuncture could help infertile women become pregnant. One hundred sixty healthy women undergoing treatment with artificial insemination were recruited for the study. Half of the subjects were randomly assigned to receive acupuncture treatment 25 minute s before embryo transfer and again 25 minutes after the transfer. The remaining 80 subjects were instructed to lie still for 25 minutes after the embryo transfer. Results: In the acupuncture group, 34 women became pregnant. In the control group, 21 women became pregnant. (a) Explain how the three principles of experimental design were addressed in this study. (b) The difference in the percent of women who became pregnant in the two groups is statistically significant. Explain to someone who knows little statistics what this means. (c) Why can't we conclude that acupuncture caused the difference in pregnancy rates?
(a) The way that the three principles of experimental design were addressed in this study are;
Control design: This is satisfied, because the study contains a control groupRandom design: This was satisfied, because the subjects were randomly assigned to a treatment group.Enough subjects: This was satisfied, because there were 160 subjects in the study, which is sufficiently large.b) Statistically significant difference means here is that the extreme difference in results that cannot be by chance.
c) Why we can't conclude that acupuncture caused the difference in pregnancy rates is; Placebo effect
How to interpret Statistics testing?
(a) Three principles of experimental design here are: Control, Random, Enough subjects.
The way they were addressed in this study are;
Control design: This is satisfied, because the study contains a control groupRandom design: This was satisfied, because the subjects were randomly assigned to a treatment group.Enough subjects: This was satisfied, because there were 160 subjects in the study, which is sufficiently large.b) Statistically significant difference means here is that the extreme difference in results that cannot be by chance.
c) The placebo effect is what prevents us from concluding that acupuncture caused the difference in pregnancy rates as it means that there is no third group that receives fake acupuncture treatment.
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