answer on the picture hope it helps ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎
                                                Given:
p: Angles XYZ and RST are vertical angles.
q: Angles XYZ and RST are congruent.
Which statement is logically equivalent to p → q?
If angles XYZ and RST are congruent, then they are vertical angles.
If angles XYZ and RST are not vertical angles, then they are not congruent.
If angles XYZ and RST are not congruent, then they are not vertical angles.
If angles XYZ and RST are vertical angles, then they are not congruent.
Hence, OPTION (C): If angles XYZ and RST are not congruent, then they are not vertical angles.
Step-by-step explanation:Analysis: p → q is ~ q → ~ p
To find the Statement that is logically equivalent to p → q, We need to understand the contrapositive of a conditional statement.
The contrapositive of a statement p → q is ~ q → ~ p, In this case, p is "Angles XYZ and RST are vertical angles." and q is angles XYZ and RST are congruent."
Identify the Contrapositive:The Contrapositive of p → q is ~ q → ~ p
Replace p and q with their respective statements:The Contrapositive of "IF angles XYZ and RST are Vertical angles, Then they are Congruent" is "IF angles XYZ and RST are NOT Congruent, Then They are NOT VERTICAL ANGLES."
Compare the Contrapositive with the given options:The statement that is logically equivalent to p → q is "IF angles XYZ and RST are not congruent, then they are not vertical angles.
Draw a conclusion:Hence, OPTION (C): The statement that is logically equivalent to p → q is "IF angles XYZ and RST are not congruent, then they are not vertical angles.
I hope this helps you!
The logically equivalent statement to 'If angles XYZ and RST are vertical angles, then they are congruent' is 'If angles XYZ and RST are not congruent, then they are not vertical angles.'
Explanation:In logic and mathematics, the concept of 'if p then q' refers to a specific directional relationship between two statements where 'p' is the hypothesis (or antecedent) and 'q' is the conclusion (or consequent). The statement 'p implies q' can also be logically equivalent to 'If not q, then not p'.
Applying this to your given statements,
p: Angles XYZ and RST are vertical angles. q: Angles XYZ and RST are congruent.The logically equivalent statement to 'If p then q' is 'If not q, then not p'. So, in the context of these statements, 'If angles XYZ and RST are not congruent, then they are not vertical angles' would be the logically equivalent statement. This statement basically means that if the two angles are not equal in measurement, then you cannot call them vertical angles.
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If 3 times a certain number is increased by 4 the result is 28. What is the number?
If x is "the number," which of the following equations could be used to solve for the number?
3 x + 4 = 28
3 x = 4 + 28
3( x + 4) = 28
Answer:3x+4=28
Step-by-step explanation:
the second one would equal 3x=32
And the third one would equal 3x+12=28 which isn’t right either
Please help solve this please
                                                Answer:
c
Step-by-step explanation:
hoped it helped you:)))
For what value of x is the rational expression below equal to zero? x_1/(X - 3)(x + 1)
                                                Answer:
A
Step-by-step explanation:
when X = 0 then
1 - 1/ (1 - 3)*(1+1)
0/ -4
0
                                                            Graph the line with slope -3 passing through the point (1,-5)
The equation of the line in the standard form exists 3x - y = 2.
What is the equation of a line?The equation of a line is a representation of a line on an x-y plane that illustrates the relationship between x and y for each point on the specific line. When x and y are variables and a, b, and c are constants, a line has the standard form ax + by = c.
Y = mx + b is the slope-intercept form of a line, where x and y are variables, m is the line's slope, and b is the line's y-intercept.
The one-point formula reads: y - y₁ = m(x - x₁). to describe the equation of a line traveling through the point (x1, y1) and having a slope of m.
We are asked to graph a line with a slope = -3, passing through the point (1, -5).
We use the one-point formula to determine the equation of this line, with slope m = -3, (x₁, y₁) = (1, -5).
Substituting these values in the equation y - y₁ = m(x - x₁), we get
Let the equation be y - -5 = -3(x - 1)
simplifying the equation, we get
y = -3x + 3 - 5
y = -3x - 2
3x - y = 2
The equation of the line in the slope-intercept form exists y = -3x - 2
The equation of the line in the standard form exists 3x - y = 2.
We draw the locations (1,-5) (because it is obvious that the line goes through this location) and (0, 2) (since the y-intercept is at 2 and the line passes through the point (0, 2)) in order to graph this line. We draw a line connecting these places, then we expand it on both sides to create the necessary line.
To learn more about standard form refer to:
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                                                            Is the event independent or overlapping:
A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?
Mutually exclusive or independent:
A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5.
Mutually exclusive or overlapping:
A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that is is a milk chocolate or has no peanuts inside?
Mutually exclusive or independent:
You flip a coin and then roll a fair six sided die. What is the probability the coin lands on heads up and the die shows an even number?
The first question:
"A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?"
Since the spinner has an equal chance of landing on each of its eight regions, the probability of landing on region three is 1/8, and the probability of landing on region six is also 1/8.
To find the probability of both events occurring (landing on region three and region six), you multiply the probabilities together:
P(landing on region three and region six) = P(landing on region three) * P(landing on region six) = (1/8) * (1/8) = 1/64.
Therefore, the probability of landing on both region three and region six is 1/64.
The events are mutually exclusive because it is not possible for the spinner to land on both region three and region six simultaneously.
--------------------------------------------------------------------------------------------------------------------------
The second question:
"A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?"
To find the probability of either event occurring (purple or number greater than 5), we need to calculate the probabilities separately and then add them.
The probability of picking a purple jersey is 4/10 since there are four purple jerseys out of a total of ten jerseys.
The probability of picking a jersey with a number greater than 5 is 2/10 since there are two jerseys numbered 6 and above out of a total of ten jerseys.
To find the probability of either event occurring, we add the probabilities together:
P(purple or number greater than 5) = P(purple) + P(number greater than 5) = (4/10) + (2/10) = 6/10 = 3/5.
Therefore, the probability of picking a purple jersey or a jersey with a number greater than 5 is 3/5.
The events are overlapping since it is possible for the jersey to be both purple and have a number greater than 5.
--------------------------------------------------------------------------------------------------------------------------
The third question:
"A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?"
To find the probability of either event occurring (milk chocolate or no peanuts inside), we need to calculate the probabilities separately and then add them.
The probability of selecting a milk chocolate is 6/10 since there are six milk chocolates out of a total of ten chocolates.
The probability of selecting a chocolate with no peanuts inside is 7/10 since there are seven chocolates without peanuts out of a total of ten chocolates.
To find the probability of either event occurring, we add the probabilities together:
P(milk chocolate or no peanuts inside) = P(milk chocolate) + P(no peanuts inside) = (6/10) + (7/10) = 13/10.
Therefore, the probability of selecting a milk chocolate or a chocolate with no peanuts inside is 13/10.
The events are mutually exclusive since a chocolate cannot be both a milk chocolate and have no peanuts inside simultaneously.
--------------------------------------------------------------------------------------------------------------------------
The fourth question:
"You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?"
The probability of the coin landing heads up is 1/2 since there are two possible outcomes (heads or tails) and they are equally likely.
The probability of rolling an even number on the die is 3
/6 or 1/2 since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes.
To find the probability of both events occurring (coin lands heads up and die shows an even number), we multiply the probabilities together:
P(coin lands heads up and die shows an even number) = P(coin lands heads up) * P(die shows an even number) = (1/2) * (1/2) = 1/4.
Therefore, the probability of the coin landing heads up and the die showing an even number is 1/4.
The events are independent since the outcome of flipping the coin does not affect the outcome of rolling the die.
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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Can sumone please help with this. Its super late and I need help
                                                Answer:
i graphed it for you in a calculator
                                                            
                                                            a rectangle with a width of 30 centimeters has a perimiter of 100 centimeters to 160 centimeters graph a compound inequality
Answer:
5 ≤ L ≤ 35
Step-by-step explanation:
Let w represent the width of the rectangle.
The perimeter (P) of the rectangle is given by:
P = 2w + 2L
Where L is the length of the rectangle.
We know that w = 30 cm and that the perimeter is between 100 and 160 cm. We can now set up our compound inequality:
100 ≤ 2(30) + 2L ≤ 160
100 ≤ 90 + 2L ≤ 160
10 ≤ 2L ≤ 70
We can now divide both sides by 2 to solve for L:
5 ≤ L ≤ 35
Therefore, the compound inequality that represents the graph of a rectangle with a width of 30 centimeters and a perimeter of 100 centimeters to 160 centimeters is: 5 ≤ L ≤ 35
I tried this and found it really difficult please help
                                                Answer:
4.75 or 4 3/4
Step-by-step explanation:
Since all values are given, we can substitute all the values into the equation to find s.
s = \(ut+\frac{1}{2} at^{2} \\= (10)(\frac{1}{2}) +\frac{1}{2} (-2)(\frac{1}{2}) ^{2}\\=5 + (-1)(\frac{1}{4} )\\=5+(-\frac{1}{4} )\\=5-0.25\\=4.75 or 4\frac{3}{4}\)
simplify: 3-4¡/3+4¡ + 3+4¡/3-4¡. Look at the picture to see what the math problem and answer options are.
                                                The choice
\( - \frac{14}{25} \)
\( \frac{3 - 4i}{3 + 4i} + \frac{3 + 4i}{3 - 4i} \\ \\( \frac{3 - 4i}{3 + 4i} \times\frac{3 - 4i}{3 - 4i}) +( \frac{3 + 4i}{3 - 4i} \times \frac{3 + 4i}{3 + 4i}) \\ \\ \frac{ - 7 - 24i}{9 - 16 {i}^{2} } + \frac{ - 7 + 24i}{9 - 16 {i}^{2} } \\ \\ \frac{ - 7}{9 + 16} + \frac{ - 7}{9 + 16} \\ \\ \frac{ - 7}{25} + \frac{ - 7}{25} = \frac{ - 14}{25} \)
I hope I helped you^_^
Use the image to determine the type of transformation shown.
Graph of polygon VWXYZ with W at point 2 comma 4. A second polygon V prime W prime X prime Y prime Z prime with W prime at point negative 2 comma 4.
 Reflection across the x-axis
 Reflection across the y-axis
 270° counterclockwise rotation
 Horizontal translation
The image is reflected over the y-axis. Then the correct option is B.
Given that:
Point of the polygon VWXYZ, W(2, 4)
Point of the polygon V'W'X'Y'Z', W'(-2, 4)
The translation does not change the shape and size of the geometry. But changes the location.
The reflection does not change the shape and size of the geometry. But flipped the image.
The point W' can be obtained by reflecting the shape across the y-axis.
Thus, the correct option is B.
More about the transformation of the shape link is given below.
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The missing diagram is given below.
                                                            evaluate the following -3 - (-8)
Answer:
The answer to the problem is 5.
Answer:
5Step-by-step explanation:
\(-3-\left(-8\right)\\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\=-3+8\\\\\mathrm{Add/Subtract\:the\:numbers:}\:\\-3+8\\=5\)
if x - 7/10=y and y=2 what is the value of x
Answer:
x=27/10
Step-by-step explanation:
move all the terms not containing x to the right side of the equation
Which of the following steps would you perform to the system of equations
below so that the equations have opposite y-coefficients?
4x+2y=4
12x - y = 26
Hi what is 2+2 don't answer that but hi I'm Layla
The answer is 4! Please give brainliest it is very easy question and answer unless you're a few months old, which you're probably not that smart to be here. Anyways, go continue whatever else ur doing i guess
I need a lil help, I am some how stuck here in math.
                                                a. The value of c in the probability mass function when x is a discrete random variable is 0.15
b. The value of P(x > 3) is 0.25
c. The value of P(3 ≤ x ≤ 5) is 0.15
d. the probability that x is less than 6 given that it is greater than or equal to 1 is approximately 0.353.
What is probability mass function?In probability mass function, sum of the probabilities for all possible values of x must be equal to 1
Thus,
0.2 + 2c + 0.2 + c + 0.1 = 1
Solve for c
c = 0.15
Hence, the probability mass function for x can be rewritten as;
x: 0 1 2 4 10
p(x): 0.2 0.3 0.2 0.15 0.1
To find P(x > 3), add the probabilities for all values of x that are greater than 3. The values greater than 3 are 4 and 10
sum of their probabilities
P(x > 3) = P(x = 4) + P(x = 10)
= 0.15 + 0.1
= 0.25
To find P(3 ≤ x ≤ 5),sum the probabilities for all values of x between 3 and 5, inclusive:
P(3 ≤ x ≤ 5) = P(x = 4)
= 0.15
To find P(x < 6 | x ≥ 1), use the formula for conditional probability:
P(x < 6 | x ≥ 1) = P(x < 6 and x ≥ 1) / P(x ≥ 1)
To find the numerator, we sum the probabilities for all values of x between 1 and 5, inclusive
P(x < 6 and x ≥ 1) = P(x = 1) + P(x = 2) + P(x = 4)
= 0.3
To find the denominator, we sum the probabilities for all values of x greater than or equal to 1:
P(x ≥ 1) = P(x = 1) + P(x = 2) + P(x = 4) + P(x = 10)
= 0.85
Therefore, we have
P(x < 6 | x ≥ 1) = (0.3 / 0.85) ≈ 0.353
Thus, the probability that x is less than 6 given that it is greater than or equal to 1 is approximately 0.353.
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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 18 cm
What is the volume of the sphere?
Answer:
12 cm³
Step-by-step explanation:
the volume of the sphere = 4/3 πr³
the volume of the cylinder (h=2r)= πr².2r
= 2πr³
the volume ratio of S : C =
4/3 πr³ : 2 πr³
= 4/3 : 2
= 4 : 6
= 2 : 3
so, the volume of the Sphere =
2/3 × 18 = 12 cm³
Answer:
Solution given:
radius [r]=height[h]
volume of cylinder=πr²h
18cm³=πr³
again
volume of sphere
=4/3 πr³
=4/3*18=24cm³
the volume of the sphere:24cm³
the sum of three consecutive even integers if the largest number is y
Answer:
y
Step-by-step explanation:
4y=6 sorry thats all i know
w
The table below lists the means and standard deviations for 5th graders in the district and for the norm group for
student performance in four different subjects. According to the table, the performance of the 5th graders in the
district is more variable than that of the norm group in which subject(s)?
ed
ati
n
100
Sc
Geography English Spelling Science
Mean of all 5th graders in District (150 students) 75
125 90
SD of these 5th graders
12
10 12 20
Mean of the Norm Group
85
100 120 90
SD of the Nom Group
10
10 15 15
ww
sti
20
ker
ndo
ted
Geography, Spelling, and Science
Geography and Spelling
Geography and Science
Spelling only
Science only
Geography only
lccr
Sa
le au
isid
Answer:
Can you please format this? it's hard to understand right now
Translate this sentence into an equation.
The product of Raj's height and 3 is 33.
Use the variable r to represent Raj's height.
HELP PLEASE ASAP!!!
Answer: The equation is 3r = 33
That equation solves to r = 11. Divide both sides by 3 to solve that equation.
To form the original equation itself, we multiply 3 by r since your teacher mentioned "product of his height and 3". That product is set equal to 33. Notice that 3*r = 3*11 = 33.
Lin surveyed a class of sixth-graders asking how many hours they spend online every month.
They spend about three hours a day online
Completing the square can be used to transform x²-6x+8=0 into the form (x - p)²= 9 
What are the values of p and q?
Answer:
x² - 6x + 8 = 0
or, x² - (4+2)x + 8 = 0
or, x² - 4x - 2x + 8 = 0
or, x(x-4) -2(x -4)= 0
or , (x-4) (x-2) = 0
either,
x - 2 = 0
x = 2
OR,
x - 4 = 0
x = 4
next ,
x-p = 9
or, 2-p = 9
p= -7
either,
x-p = 9
or, 4 - p = 9
or, p= -5
hope this will help you
Mr. Gupta gave his students a quiz with three questions on it. Let 
�
XX represent the number of questions that a randomly chosen student answered correctly. Here is the probability distribution of 
�
XX along with summary statistics:
�
=
# correct
X=# correctX, equals, start text, \#, space, c, o, r, r, e, c, t, end text 
0
00 
1
11 
2
22 
3
33
�
(
�
)
P(X)P, left parenthesis, X, right parenthesis 
0.05
0.050, point, 05 
0.20
0.200, point, 20 
0.50
0.500, point, 50 
0.25
0.250, point, 25
Mean: 
�
�
=
1.95
μ 
X
 =1.95mu, start subscript, X, end subscript, equals, 1, point, 95
Standard deviation: 
�
�
≈
0.8
σ 
X
 ≈0.8sigma, start subscript, X, end subscript, approximately equals, 0, point, 8
Mr. Gupta decides to score the tests by giving 
10
1010 points for each correct question. He also plans to give every student 
5
55 additional bonus points. Let 
�
YY represent a random student's score.
What are the mean and standard deviation of 
�
YY?
The mean score of a random student (YY) is 574.5. the standard deviation of the random student's score (YY) is 8.
How to answer the aforementioned questionGiven:
- Each correct question is worth 10 points.
- Every student receives an additional 555 bonus points.
Let's calculate the mean and standard deviation of YY:
Mean of YY:
The mean score, denoted as μY, can be calculated using the mean of XX (μX) and the scoring scheme:
μY = μX * 10 + 555
Substituting the value of μX from the given information:
μY = 1.95 * 10 + 555
μY = 19.5 + 555
μY = 574.5
Therefore, the mean score of a random student (YY) is 574.5.
Standard Deviation of YY:
The standard deviation of YY, denoted as σY, can be calculated using the standard deviation of XX (σX) and the scoring scheme:
σY = σX * 10
Substituting the value of σX from the given information:
σY = 0.8 * 10
σY = 8
Therefore, the standard deviation of the random student's score (YY) is 8.
Complete question: Mr. Gupta gave his students a quiz with three questions on it. Let X represent the number of questions
that a randomly chosen student answered correctly. Here is the probability distribution of X along with
summary statistics:
0
1
2
2.
3
X = # correct
P(X)
0.05
0.20
0.50
0.25
Mean: Hex = 1.95
Standard deviation: Ox 0.8
Mr. Gupta decides to score the tests by giving 10 points for each correct question. He also plans to give
every student 5 additional bonus points. Let Y represent a random student's score.
What are the mean and standard deviation of Y?
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sin4x - cosx 
---------------- = f(x) f^1(π/4) what is the derivative?
 tanx
I think you are asked to find the value of the first derivative of f(x) at π/4. Given
\(f(x) = \dfrac{\sin(4x)-\cos(x)}{\tan(x)}\)
use the quotient to differentiate and you get
\(f'(x) = \dfrac{\tan(x)(4\cos(4x)+\sin(x))-(\sin(4x)-\cos(x))\sec^2(x)}{\tan^2(x)}\)
Then at x = π/4, you have
tan(π/4) = 1
cos(4•π/4) = cos(π) = -1
sin(π/4) = 1/√2
sin(4•π/4) = sin(π) = 0
cos(π/4) = 1/√2
sec(π/4) = √2
==> f ' (π/4) = (1•(-4 + 1/√2) - (0 - 1/√2)•(√2)²) / 1² = -4 + 1/√2 + √2
What basic division fact should you use to find 20,000 divided by 50 pls help quick
Answer:
400
Step-by-step explanation:
..........................
Answer:
the fact is that we know 20 divided by 5 =4
Step-by-step explanation:
so add the zeros in
What is the value of x?
URGENT
                                                Answer:
14
Step-by-step explanation:
angle 90° is opposite the side x. angle 45° is opposite side 7√2.
x/sin 90 = (7√2)/sin 45
multiply both sides by sin 90 (sin 90 is = 1).
x = (7√2)/sin 45
= 14
How many solutions exist for the absolute value of 1/2x+1=5
There exists two solutions to the absolute value function |0.5x + 1| = 5.
How to solve the absolute value function?The absolute value function in this problem is defined as follows:
|0.5x + 1| = 5.
The first solution is obtained as follows:
0.5x + 1 = -5
0.5x = -6
x = -6/0.5
x = -12.
The second solution is obtained as follows:
0.5x + 1 = 5
0.5x = 4
x = 4/0.5
x = 8.
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The ratio of number of number of stamps collected by Susan and Latha is 5:7. If Latha has collected 105 stamps, what is the number of stamps with Susan? 
Please answer 
Answer:
Step-by-step explanation:
105 divided by 7 =15 so if 15 times 7=105 then 15 times 5 is 75. so susan has 75 stamps. please mark me brainliest.
Lisa built a rectangular flower garden that is 4 meters wide and has a perimeter of 26 meters.
What is the length of Lisa's flower garden?
Given that :-
Width of garden is 4 meters Perimeter of garden is 26 metersTo Find :-
Length of rectangular garden.Solution :-
→ Perimeter = 2( Length + breadth)
→ 26 = 2 ( Length+ 4 )
→ 26/2 = Length + 4
→ 13 = Length + 4
→ Length = 13 -4
→ Length = 9 meters.
So the Length of Lisa's garden is 9 meters .
Answer:
9
Step-by-step explanation:
our new magazine initially sells 400 copies per month. research indicates that a vigorous advertising campaign could increase sales by 30% each month if our market were unlimited. but research also indicates that magazine sales in our area are unlikely to exceed 2000 per month. make a logistic model of projected magazine sales. (use t as your variable. round b to three decimal places.)
The logistic model of the projected magazine sales is P = e¹⁰⁰⁰/1+e¹⁰⁰⁰
What is meant by logistic model?
In math, logistic model refers a statistical analysis method to predict a binary outcome, such as yes or no, based on prior observations of a data set.
Here we have given that our new magazine initially sells 400 copies per month. research indicates that a vigorous advertising campaign could increase sales by 30% each month if our market were unlimited. but research also indicates that magazine sales in our area are unlikely to exceed 2000 per month.
Here we need to make a logistic model of projected magazine sales.
As per the formula of logistic model, while we looking into the given question, we identified the values,
a = 400
x = 30% => 0.3
b = 2000
Then the logistic model of the given situation is written as,
=> P = e⁴⁰⁰⁺⁰°³ˣ²⁰⁰⁰/ 1 + e⁴⁰⁰⁺⁰°³ˣ²⁰⁰⁰
=> P = e¹⁰⁰⁰/1+e¹⁰⁰⁰
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