The statement that is true according to the Central Limit Theorem is B. the original PD must also be normal.
Which is the Central Limit Theorem?According to the central limit theorem, if you take sufficiently large samples from a population, the means of the samples will be normally distributed even if the population is not normally distributed. The central limit theorem (CLT) states that as sample size increases, the distribution of sample means approaches a normal distribution, regardless of the distribution of the population.
The central limit theorem says that the sampling distribution of the mean will always be normally distributed, as long as the sample size is large enough.
In conclusion, the correct option is B.
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Which statement is true about the functions f(x)=-15x^2+32 and g(x)=-17x^2+5x+32? a. f(x) and g(x) have the same zeros. b. f(x) has a higher maximum than g(x). c. f(x) and g(x) have the same y intercept. d. f(x) and g(x) are odd functions.
None of the Options are true both the given functions are parabolic functions.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
Given function are, f(x)=-15x²+32 and g(x)= -17x²+5x+32,
Zeros for the functions are,
x = ± 1.461 and x = -1.233 and 1.527,
Where g(x) has a higher maximum than f(x), the Intercept of f(x) is greater than g(x). As shown in the graph.
Thus, none of the options are true because both of the supplied functions are parabolic.
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Question 29 The Valley of Ashes symbolizes the emotional turmoil and feelings of the characters the working class who enable the lifestyles of the wealthy the negative economic impact of prohibition laws Gatsby's fears
The Valley of Ashes symbolizes the emotional turmoil and feelings of the characters the working class who enable the lifestyles of the wealthy the negative economic impact of prohibition laws Gatsby's fears organized crime
What is the Valley of Ashes?On the north shore of Long Island, the valley of ashes was a two to three thousand acre marshland that encircled the Flushing River mouth. This small river primarily serves as an inlet into Flushing Bay, which is an arm of the East River, with tidal water flowing through it rather than fresh water.
It is a metaphor for the moral and societal decay brought on by the unrestrained pursuit of wealth, as the wealthy indulge in only their own pleasure. The emotional turmoil and feelings of the characters from the working class that support the lifestyles of the wealthy are symbolized by The Valley of Ashes. the damaging effects of prohibition laws on the economy Gatsby worries about organized crime.
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Consider the model y-80 + β1x1 + β2x2 + β3x3 +e, where x1 is a quantitative variable and x2 and x3 are dummy variables describing a qualitative variable at three levels using the coding schemex2 - y 45.5+ 1.7x1 + 11.5x2 + 16.7x3. Complete parts a and b a. What is the response line (equation) for E(y) when x2 x3 0? When x2 1 and x3 0? When x2 0 and x3-1? Choose the correct equation for x2 x3 0 1 if level2 1 if level3 and x3- . The resulting least squares prediction equation is 0 otherwise 0 otherwise Choose the correct equation for x2 1 andx3-0 Choose the correct equation for x2 0 andx3-1 b. What are the least squares prediction equations associated with level 1, level 2, and level 3? The equation for level 1 is Ey)x The equation for level 2 is E(y) = The equation for level 3 is E(y)-D+D-1 Choose the correct graph of these three lines below. OA Ов. O C. Y L2 L3 し2 L1 L1 5 L3 5 L3 -5
The equation is y = 45.5+ 1.7x₁ + 11.5x₂+ 16.7x₃ when x₂ = x₃ = 0.
What is meant by equation?
In math, equation refers a mathematical statement that is made up of two expressions connected by an equal sign.
Here we have given that, x1 is a quantitative variable and x2 and x3 are dummy variables describing a qualitative variable at three levels using the coding scheme.
and we need to find the correct equation when the value of x₂ = x₃ = 0.
Here while we looking into the given question we have identified that the value of x₂ =0 and x₃ = 0.
Then the given equation will be remain same withouth any changes.
Therefore, the resulting equation of the given condition is written as,
=> y = 45.5+ 1.7x₁ + 11.5x₂+ 16.7x₃
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The graph represents Tamira's motion detector walk. Complete the following sentences based on the graph.
Note that:
For 1) To compute the average rate (AR), divide the change in y-values by the change in x-values. That is:
AR = (5-2)/5-4)
= 3/1
= 3ft/sec.
For 2) we must use the same formula above:
(2-5)/(10-7)
= -1 ft/sec.
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Full Question:
See attached graph
Which linear function has the greatest rate of change?
A. The Equation
B. The Table
C. The graph
Answer:
The graph
Step-by-step explanation:
The graph has a slope of 4, the equation has a slope of 3, the table has a slope of 2.
which of the following refers to a set of procedures in which the sample size and sample statistics are used to make estimates of population values or facts?
Generalization refers to a set of procedures in which the sample size and sample statistics are used to make estimates of population values or facts.
Statistics is a branch of applied mathematics that involves the collection, description, analysis, and conclusion of conclusions from quantitative data. Sample size determination is the act of choosing the number of compliances or replicates to include in a statistical sample.
Statistical conception involves statistically calculating the likely parameters of a population using data from an arbitrary sample of that population.
One of the primary operations for data conception is when you need to analyze data that you've collected, but also need to ensure the sequestration of the individualities who are included in that data.
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calculate the charge on the ping pong ball required for the dipole to levitate motionless in midair. please answer as a formula, you may use the terms 'q','s','r','m','l','m','g','k'.
Charge required to levitate a ball is [tex]1*10^{-2}C[/tex] given by the cross section of your pen 10 [tex]mm^{2}[/tex], which is of order 10 squared.
what is Coandă effect?The flow of air is drawn toward the ball by the low pressure area that surrounds it. As a result, the fluid (air) jet flows across the ping pong ball's curved surface. The "Coandă effect" refers to this phenomena.
The airflow's propensity to stick to the ball's surface is the Coandă effect in this situation. This indicates that the streamlines are curved at the ball's surface, with a radius of curvature roughly equal to the ball's radius. This curvature produces a pressure gradient, much like it does in the theory of lift, which I assume to be constant over the surface:
The equilibrium point, when the net forces acting on the ball cancel, is indicated by this, which points radially inward. Gravity causes the ball to hang below this spot during practice.
The Charge required to levitate a ball is [tex]1*10^{-2}C[/tex] given by the cross section of your pen 10 [tex]mm^{2}[/tex], which is of order 10 squared.
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The segment addition rule states if B is between A and C, then AC = AB + BC.
False
True
Answer: The segment addition postulate states that if we are given two points on a line segment, A and C, a third point B lies on the line segment AC if and only if the distances between the points meet the requirements of the equation AB + BC = AC
revie
the blanks.
Leo and his friends like to collect and trade cards from a certain combat card game. Leo used
his allowance to purchase 9 booster packs and 5 premade decks, which included a total of
253 cards. For his birthday, he received 7 booster packs and 5 premade decks, which
included a total of 229 cards. How many cards come in every booster pack and every
premade deck?
Fawzia is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The monthly fee is $20 and the one-time joining fee is $100. Make a table of values and then write an equation for C,C, in terms of t,t, representing the total cost of the gym membership over tt months.
Answer: See below
Step-by-step explanation:
C=20t+100
t= number of months
C= total cost over t number of months
Table of values
t C
1 120
2 140
3 160
4 180
5 200
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis
y=x3,y=8,x=0; about x=9
The volume of the cylinder generated by rotating the region bounded by y = x³ , y = 8 , x = 0 and x = 9 be, 1608.25 cubic units.
Given, a cylinder generated by rotating the region bounded by the given curves about the specified axis
y = x³ , y = 8 , x = 0 and x = 9
we have to find the volume of the cylinder generated by the given region,
So, using the concept of integration, we get
Volume of the cylinder = Integrating y from x³ to 8 then integrating x from 0 to 9.
Volume of the cylinder = ∫∫dy dx
Volume of the cylinder = ∫(x³ - 8) dx
Volume of the cylinder = x^4/4 - 8x
Volume of the cylinder = (9)^4/4 - 8(4)
Volume of the cylinder = 1640.25 - 32
Volume of the cylinder = 1608.25
So, the volume of the cylinder be 1608.25 cubic units.
Hence, volume of the cylinder be 1608.25 cubic units.
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which of the following characteristics is/are true about the distribution of the response variable in a logistic regression model? a. it is a Bernoulli distribution b. it can be any distribution over rhe interval (0,1) c. it can be any distribution from the exponential family d. it is a distribution from the canonical exponential family
It can be any distribution from the exponential family is true about the distribution of the response variable in a logistic regression model.
What is logistic regression model?Logistic regression is a popular method for solving prediction and classification issues. Among these use cases are: Fraud detection: Logistic regression methods can assist teams in identifying data abnormalities that suggest fraud. The logistic model is a statistical model that represents the chance of an event occurring by making the event's log-odds a linear combination of one or more independent variables. Logistic regression is used in regression analysis to estimate the parameters of a logistic model.
Here,
The distribution of the response variable in a logistic regression model can be any distribution from the exponential family.
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State if the three side lengths form an acute, obtuse or right triangle. 9m, 12m, 15m
The three side lengths; 9m, 12m, 15m as given in the task content would form a right triangle.
What type of triangle is formed by the three side lengths as given in the task content?It follows from the task content that the type of triangle formed by the side lengths given is to be determined.
On this note, recall that given three side lengths, a, b and c where c is the longest of all three side-lengths;
if; c² > a² + b² .....Obtuse triangle.
if; c² < a² + b².......Acute triangle.
if; c² = a² + b²........Right triangle.
On this note, since;
15² = 12² + 9²
225 = 144 + 81
225 = 225.
The three side lengths in discuss would form a right triangle.
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sara correctly solves a system of two linear equations and finds that the system has no solution. if one of the two equations is -
When two system of linear equations solved by Sara represents the lines parallel to each other then the equations have no solution.
Step by Step explanation:
Given system of two linear equations :
Let us consider system of two linear equation with Sara has :
y = 3x + 7
y = 3x + 9
Here both the lines have same slope = 3
Lines are parallel to each other.
Solve the equation by elimination method :
y = 3x + 7
y = 3x + 9
0 = 0x - 2
⇒ -2 = 0 which is not possible and has no solution.
Therefore, when the system of linear equations with Sara has no solution it represents lines are parallel to each other.
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The graph shows the elevation of a hiker compared to ground level.
What is the y-intercept?
Answer:
-15
Step-by-step explanation:
Evaluate the expression 6x +4 9/10 when x=2/3
Answer:
8 [tex]\frac{9}{10}[/tex]
Step-by-step explanation:
substitute x = [tex]\frac{2}{3}[/tex] into the expression
(6 × [tex]\frac{2}{3}[/tex] ) + 4 [tex]\frac{9}{10}[/tex]
= (2 × 2) + 4 [tex]\frac{9}{10}[/tex]
= 4 + 4 [tex]\frac{9}{10}[/tex] ( add the whole numbers )
= 8 [tex]\frac{9}{10}[/tex]
Given the matrix [2 5 5 13], (a) does the Inverse of the matrix exist? Your answer is (Input Yes or No): (b) If your answer is yes, write it as [a_11 a_12 a_21 a_22], find a_11 = a_12 = a_21 = a_22 =
Yes, the inverse of the matrix exist and a11 = 13 , a12 = -5 , a21 = -5 and a22 = 2
The inverse of matrix is another matrix, which on multiplication with the given matrix gives the multiplicative identity.
The matrix whose determinant is non-zero and for which the inverse matrix can be calculated is called an invertible matrix.
According to the question,
The matrix given is [tex]\left[\begin{array}{cc}2&5\\5&13\end{array}\right][/tex]
Let Matrix be A
To check if its inverse exist , We have to find out the determinant
|A| = 13(2) - 5(5)
=> 26 - 25
=> 1
Determinant is non zero
Hence , Inverse exist
(b) To find the inverse , we have to find the adjoint of A
adj A = [tex]\left[\begin{array}{cc}13&-5\\-5&2\end{array}\right][/tex]
Inverse is ratio of adj A and determinant A
A⁻¹ = adj A / |A|
=> [tex]\left[\begin{array}{cc}13&-5\\-5&2\end{array}\right][/tex] / 1
=> A⁻¹ = [tex]\left[\begin{array}{cc}13&-5\\-5&2\end{array}\right][/tex]
a11 = 13 , a12 = -5 , a21 = -5 and a22 = 2
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A certain academic program boasts that 87% of their graduates find full-time employment in their field within the first year of graduation. The academic director is concerned that market factors may have adversely affected the full-time placement rate and decides to perform a Hypothesis Test to see if her concern is warranted.The hypothesis test is performed at a 5% significance level and the resulting p-value is 0.07.Assume that all conditions for testing have been met and choose the statement that contains the correct conclusion.Options:a.there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.b.there is sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05. c.there is sufficient sample evidence to conclude that the full-time placement rate is 87% because the p-value is greater than 0.05.c.there is not sufficient sample evidence to conclude that the full-time placement rate is 87% because the p-value is greater than 0.05.
The correct conclusion is A. Since the p-value is greater than the significance level, there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
For the null hypothesis, 87% of the graduates find full-time employment in their field within the first year of graduation. It is tested if the proportion is still of 0.87, so:
H₀: p = 0.87
For the alternative hypothesis, less than 87% of the graduates find full-time employment in their field within the first year of graduation. It is tested if it has decreased, so:
H₁: p < 0.87
Since the p-value is greater than the significance level (p-value is greater than 0.0), we do not reject the null hypothesis, and thus, the correct conclusion is A.
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Can someone help me solve this?
The length, width and area of the smaller rectangle are 18 cm, 14 cm and 252 cm² respectively.
What is a Rectangle?A rectangle is a polygon in two dimension with four sides with opposide sides are equal and all the angles are right angles.
Given smaller rectangle is 1/2 scale drawing of the original figure. So the dimensions of the smaller rectangle will be half of the dimensions of the bigger rectangle.
For bigger rectangle,
Length = 36 cm
Width = 28 cm
Area = 1,008 cm²
So for smaller rectangle,
Length = 36/2 = 18 cm
Width = 28/2 = 14 cm
Area = 18 × 14 = 252 cm²
Hence the length, width and area of the smaller rectangle are 18 cm, 14 cm and 252 cm².
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100 points
Pls pls pls help
What is the measure of angle R in this triangle?
Enter your answer as a decimal in the box. Round only your final answer to the hundredths place (2 decimal places).
m∠R=
Answer:
m∠R = 61.92°------------------------------------
Use trigonometry.
Since all three sides are known, you may choose either sine, cosine or tangent.
We'll use sine here:
sine = opposite leg / hypotenusesin ∠R = TS/TRsin ∠R = 60/68sin ∠R = 0.8823m∠R = arcsin 0.8823m∠R = 61.92°find the minimum value of x for which the laser beam passes through side b and emerges into the air.
Hence the minimum value of x is 18 cm
what is minimum value?a minimal requirement of coverage that is applicable to employment-based health plans. You cannot receive a premium tax credit if you purchase a Marketplace insurance plan if your employer's plan satisfies this criterion and is deemed "affordable."
given,
Within 10 cm of the A, a laser beam will pierce the water.
Snell's law permits us to state:
[tex]n_{1}sin\alpha ^{2} = n_{2}sin\beta^{2}[/tex]
Where,
is equal to 1, which is air's refractive index.
a measure of water's refractive index is [tex]n_{2}[/tex] = 1.33
At the interface, we can formulate a formula using Sell's law.
θ[tex]_{2}[/tex] = 38.7°
x= 18 cm
hence the minimum value of x is 18 cm.
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1.25y-0.35y=585
Solve for y
Answer:
y = 650
Step-by-step explanation:
0.9y = 585
y = 650
Answer:
[tex]y = 650[/tex]
Step-by-step explanation:
[tex]1.25y-0.35y=585[/tex]
[tex]0.9y=585[/tex]
[tex]y = \frac{585}{0.9}[/tex]
[tex]y = 650[/tex]
The University is conducting a similar analysis on how much of the 80-minute TR class sessions are used for instruction. There is evidence from a previous study that the population standard deviation for duration time is
2.1
minutes. A random selection of 83 class sessions this semester yields an average duration time of 78 minutes. (a) Calculate a
90%
confidence interval the parameter of interest. (No interpretation needed in your final answer; just the numeric interval.) (a) [5 pts] (b) What is the minimum sample size required to estimate the mean duration time of TR classes to within
0.5
of a minute with
99%
confidence? (b) [5 pts] (c) Suppose that the sample standard deviation for duration times in this study is
2.6
minutes. Calculate a
95%
confidence interval for
σ 2
, the population variance.
The minimum sample size required to estimate the mean duration time of TR classes is t distribution confidence interval.
The confidence interval is 75.0694 and 76.9306.
Given that
(a) This is t-distribution confidence interval because sample standard deviation is given and also sample size is less than 30.
(b)
CI for 95%
n 28
mean 76
value of 95% CI and df = 27 (using table) 2.0518
std. dev. 2.4
SE = standard deviation/n² 0.45356
ME = t*SE 0.93062
Lower Limit = Mean - ME 75.06938
Upper Limit = Mean + ME 76.93062
95% CI (75.0694 , 76.9306 )
95% CI=75.0694 , 76.9306
(c)The 95% confidence interval estimate of the population mean is within 75.0694 and 76.9306 (lower bound and upper bound)
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order these numbers for least to greatest -4,5,-2,1,0
Answer: 0, 1, 5, -2 ,-4
Step-by-step explanation: hope it helps
Practice Another Dimple gets paid $4,800 per month. She pays $960 a month for rent. What percent of her monthly pay goes to rent?
The percent of her monthly pay that goes to rent will be 20%.
How to calculate the percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
In this situation, Dimple gets paid $4,800 per month and then she pays $960 a month for rent.
The percent of her monthly pay that goes to rent will be:
= 960 / 4800 × 100
= 20%
The percentage is 20%.
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Find an explicit description of Nul A by listing vectors that span the null space. 1 2 3 0 A = 0 0 1 0 A spanning set for Nul A is (Use a comma to separate answers as needed.)
An explicit description of Nul A is given by the set of vectors {[0, 0, 1, 0], [0, 0, 0, 1]}.
What is the explicit description of a null space matrix?
To find an explicit description of the null space of matrix A, we can find a spanning set of vectors that span the null space.
The null space of matrix A, denoted Nul A, is the set of all vectors x that satisfy the equation Ax = 0. In other words, the null space consists of all vectors that are mapped to the zero vector by the matrix A.
To find a spanning set for Nul A, we can use the following steps:
Row reduces the matrix A to a reduced row-echelon form using elementary row operations.
Identify the free variables in the row-reduced matrix.
For each free variable, create a vector with a 1 in the position corresponding to the free variable and 0's in all other positions.
The set of vectors created in step 3 form a spanning set for Nul A.
For example, consider the matrix A = [1, 2, 3, 0; 0, 0, 1, 0]. To find a spanning set for Nul A, we can row reduce the matrix to reduced row-echelon form:
[1, 2, 3, 0] -> [1, 2, 3, 0]
[0, 0, 1, 0] -> [0, 0, 1, 0]
The matrix is already in reduced row-echelon form, so there are no more elementary row operations to perform. The free variables in this matrix are the third and fourth columns, which correspond to the variables x3 and x4, respectively. Therefore, we can create the following vectors:
x3 = [0, 0, 1, 0]
x4 = [0, 0, 0, 1]
These vectors form a spanning set for Nul A, as they are linearly independent and span the null space.
Hence, an explicit description of Nul A is given by the set of vectors {[0, 0, 1, 0], [0, 0, 0, 1]}.
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Use the One-to-One Property to solve the equation for x. 3x − 1 = 1 /9 x =
Answer: Part 1) Option A
Part 2) Option B
Part 3) Option C
Part 4) Option C
Part 5) Option D
Part 6) Option B
Part 10) Option B
Part 11) Option A
Part 13) Option A
Part 14) Option D
Part 15) Option D
Part 16) Option C
Part 17) Option D
Part 18) Option D
Part 19) Option D distribute the to the and ; distribute the to the and
Part 20) Option B
Step-by-step explanation:
Part 1) we have
solve for x
Part 2) we have
solve for x
Part 3) we have
solve for x
Part 4) we have
solve for x
Part 5) we have
solve for x
Part 6) we have
solve for x
remember that
convert to mixed number
Part 7) The model is not included
Part 8) The model is not included
Part 9) The model is not included
Part 10) we have
solve for x
Part 11) we have
solve for x
Part 12) The model is not included
Part 13) we have
solve for r
Part 14) and Part 15)
the answer is the option D
Look for parenthesis and apply the distributive property; combine like terms; move your variable terms to one side and constants to the other side of the equal sign; go in reverse PEMorDAorS to isolate the variable using inverse operations
Part 16)
Let
n------> the number
we know that
-----> algebraic expression that represent the situation
solve for n
Part 17) we have
solve for y
Part 18) we have
solve for x
Part 19) we have
------> distribute the to the and ; distribute the to the and
Part 20) we have
step 1
distribute the to the and ; distribute the to the and
step 2
Group terms that contain the same variable and move the constant to the other side
step 3
Combine like terms
step 4
Divide by both sides
On the grid above, flag F is rotated around point S. Which of the images does NOT result from this transformation?
A.
image 3
B.
image 2
C.
image 1
D.
All of the images result from this transformation
.
A figure in the flag has rotational symmetry if the figure can be mapped onto itself by a rotation between 0° and 360° about the center of the figure.
What is symmetry?Symmetry in everyday language refers to a sense of harmonious and beautiful proportion and balance. In mathematics, "symmetry" has a more precise definition, and is usually used to refer to an object that is invariant under some transformations; including translation, reflection, rotation or scaling. Something is symmetrical when it is the same on both sides. A shape has symmetry if a central dividing line (a mirror line) can be drawn on it.To learn more about symmetry refer to:
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Solve the following system of equations graphically on the set of axes below.
y=-x-6
x-2y=-6
Plot two lines by clicking the graph.
Click a line to delete it.
If a rectangle and a square have the same perimeter then which one will have a larger area
Answer:
The square's area will be larger
Step-by-step explanation:
Let's say that a square's side length is 10.
To find the perimeter of a square, we add up all of the sides.
10 + 10 + 10 + 10 = 40
The perimeter of the square would be 40.
Now let's figure out the area of this square.
To find the area, we multiply the length by the width.
10 × 10 = 100
The area of the square is 100.
Now let's move on to the rectangle.
The rectangle has a side length of 12, and 8.
Let's figure out the perimeter of this rectangle.
12 + 12 + 8 + 8 = 40
The perimeter of the rectangle is 40, which means that the perimeters are the same.
Now let's figure out the area.
If you remember, to find the area we multiply the side length by the width.
12 × 8 = 96
The area of the rectangle is 96.
If the area of the square is 100, and the area of the rectangle is 96, then we can conclude that the area of a square is larger.
If a rectangle and a square have the same perimeter then Square will have a larger area.
Suppose length of rectangle is 6 cm and breadth is 2 cm.
So, Area of a rectangle = length × breadth
=(6×2) cm²
= 12 cm²
Given that,
Perimeter of rectangle = Perimeter of square
2× (length + breadth) = 4×side
Side = [tex]\frac{2 ( length + breadth)}{4}[/tex]
Side = [tex]\frac{2 (6+2)}{4}[/tex]
Therefore, side = 4 unit.
Now, Area of Square = (side)²
= ( 4 )²
16 unit²
Hence, Area of square (16) is more than area of rectangle (12).
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