Answer:
each coordinate is multiplied by 1/3
Step-by-step explanation:
Each point on the graph is moved to a distance from the origin that is its previous distance multiplied by the scale factor. This means every coordinate value is multiplied by the scale factor.
For example, a coordinate of (3, -9) scaled by 1/3 will become ...
(1/3)(3, -9) = (1, -3)
__
Additional comment
If your scale factor is 1/3, often you will find that coordinates of the larger image are all multiples of 3. This makes relocating them to 1/3 their original distance fairly easy. Even if they're not, you still move each point to 1/3 its original distance. The new point will be on the line segment joining the center of dilation (the origin) with the original point.
The attached graph is an illustration of dilation by a factor of 1/3.
The given information is available for two samples selected from
independent normally distributed populations. Population A:
n1=24 S21=130.1 Population B: n2=24 S22=114.8
In testing the null hypot
We compare the calculated F-statistic with the critical value from the F-distribution table for the desired significance level and degrees of freedom.
To test the null hypothesis regarding the equality of variances between two populations, we use the F-test. The F-statistic is calculated as the ratio of the sample variances.
Given the following information:
Population A:
Sample size (n1) = 24
Sample variance (S21) = 130.1
Population B:
Sample size (n2) = 24
Sample variance (S22) = 114.8
The F-statistic is calculated as:
F = S21 / S22
Plugging in the values:
F = 130.1 / 114.8 ≈ 1.133
To test the null hypothesis, we compare the calculated F-statistic with the critical value from the F-distribution table for the desired significance level and degrees of freedom.
Based on the provided information, the F-statistic is approximately 1.133. To determine whether the null hypothesis can be rejected or not, we need the critical value from the F-distribution table or the p-value associated with this F-statistic.
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Which linear inequality is represented by the graph?
y<3x+2
y>3x+2
y<1/3x+2
y>1/3x+2
Answer:
Y < 3x+2
Step-by-step explanation:
Alright so if you ever get stuck on something like this, Go on demos and put in (0,2) and then add in (-3,-7) and then add in the other answers to see if they match.
So your answer is:
y>3x+2
Mrs. Santos is buying binders for the students in her class. She determined that 15 binders would cost $22.50.
What is the question?
Price for one binder: 1.5
Rylan is a marketing director for a musician and is researching ways to improve the attendance at the concerts. Currently, the attendance averages 10,500 people with an average ticket cost of $45. In her research, she has discovered that when ticket prices are lowered by $1 then the attendance will increase by 300 people. She has a meeting scheduled with the President of Business Operations who has asked her to maximize revenue. She is trying to calculate a model, but is struggling to determine which one works. A(x) = (45 - x)(10,500 + 300x) B(x) = (45 - x)[10,500 + 300(45-x)]1) Which model should Rylan use? 2) Find the ticket price that will lead to the maximum revenue for the team. 3) What is this maximum revenue? To make matters more difficult, the President of Business Operations wants her to determine the revenue potential of $25 and $30 tickets.4) revenue for $25 tickets = 5) revenue for $30 tickets =
Answer:
Step-by-step explanation:
a staff member at uf's wellness center is interested in seeing if a new stress reduction program will lower employees high systolic blood pressure levels. twenty people are selected and have their blood pressure measured. each person then participates in the stress reduction program. one month after the stress reduction program, the systolic blood pressure levels of the employees were measured again. did the program reduce the average systolic blood pressure level? (mud
Without specific information about the blood pressure levels of the twenty selected members before and after the program, it is impossible to say whether or not the program was successful in reducing the average systolic blood pressure level.
Based on the information given, the staff member at UF's wellness center selected twenty people to participate in a new stress reduction program in order to see if it would lower their high systolic blood pressure levels. The blood pressure levels of each member were measured before the program began, and again one month after it ended.
To determine whether the program reduced the average systolic blood pressure level, the staff member would need to compare the average systolic blood pressure level before the program to the average level after the program. If the average systolic blood pressure level decreased after the program, it could be inferred that the program was successful in reducing blood pressure levels.
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Use a net to find the surface area of the cone to the nearest square centimeter. use 3.14 for pi
To find the surface area of a cone using a net, calculate the area of the base and the lateral surface area, then add them together.
To find the surface area of a cone, you need to calculate the area of the base and the lateral surface area. The base of a cone is a circle, so the area can be found using the formula \(A = \pi r^2\), where r is the radius. The lateral surface area can be calculated using the formula A = πrl, where r is the radius and l is the slant height.
To find the slant height, you can use the Pythagorean theorem: \(l^2 = r^2 + h^2\), where h is the height of the cone. Once you have the base area and the lateral surface area, add them together to find the total surface area of the cone. Round the answer to the nearest square centimeter.
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Find the measure of arc WVY.
Answer:
arc WVY = 265.4°
Step-by-step explanation:
arc XY = arc WX because ZY = WZ
360° - 47.3° - 47.3° = 265.4°
Simplity
35x105x125
5-7 X6-5
Answer:
lemmme thinkkkkkk
Step-by-step explanation:
Sarah and her children went into a movie theater where they sell bags of popcorn for $7.50 each and drinks for $4.50 each. Sarah has $90 to spend and must buy a minimum of 16 bags of popcorn and drinks altogether. If xx represents the number of bags of popcorn purchased and yy represents the number of drinks purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
A possible solution is she should by 6 bags of popcorn and 10 drinks
Step-by-step explanation:
The price of each bag of popcorn = $7.50
The price of each drink = $4.50
The amount Sarah has to spend = $90
The number of bags of popcorn and drinks Sarah must buy = 16 bags of popcorn and drinks
Let the number of bags of popcorn purchased be represented by x and the number of drinks purchased be represented by y
Therefore, we have;
x + y ≥ 16.....(1)
x × 7.5 + y × 4.5 ≤ 90
Which gives;
7.5·x + 4.5·y ≤ 90....(2)
Rewriting the inequalities as a function of y, gives;
From inequality (1), x + y ≥ 16, we have;
y = ≥ 16 - x
From inequality (2), 7.5·x + 4.5·y ≤ 90, we have;
7.5·x + 4.5·y ≤ 90
4.5·y ≤ 90 - 7.5·x
y ≤ 90/4.5 - 7.5/4.5·x
y ≤ 20 - 5/3·x
Please find attached, the plot of the inequalities
A possible solution is given as the value of x = 6, where y = 10
Therefore, she should by 6 bags of popcorn and 10 drinks.
if 2100 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
The dimensions of the box that maximize the volume are x = √700 and h = 100 / √700.
To find the largest possible volume of the box, we need to optimize the dimensions of the box. Let's denote the length of each side of the square base as x and the height of the box as h.
The surface area of the box consists of the area of the square base (x^2) and the four sides of the box (4xh). Since the box has an open top, we do not consider the top surface. The total surface area is given as 2100 square centimeters, so we have:
x^2 + 4xh = 2100
To maximize the volume, we need to express the volume of the box (V) in terms of a single variable. The volume of a rectangular prism is given by V = x^2h.
We can rewrite the equation for the surface area to solve for h:
h = (2100 - x^2) / (4x)
Now we can substitute this expression for h in the volume equation:
V = x^2 * [(2100 - x^2) / (4x)]
Simplifying, we have:
V = (1/4) * (2100x - x^3)
To find the maximum volume, we need to find the critical points of this function. We take the derivative of V with respect to x and set it equal to zero:
dV/dx = 2100/4 - (3/4)x^2 = 0
Solving this equation, we find:
2100/4 = (3/4)x^2
x^2 = 700
x = √700
Substituting this value back into the equation for h, we find:
h = (2100 - 700) / (4 * √700) = 1400 / (4 * √700) = 100 / √700
Therefore, the largest possible volume of the box is:
V = (1/4) * (2100 * √700 - 700 * √700) = 350√700 cubic centimeters.
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PLS HELP
A motorcycle manufacturer conducted a survey to see which of its five motorcycle models was most popular among its customers. The results of the survey are displayed in the table.
Which measure(s) of central tendency represents the most popular model of motorcycle?
A. the mean
B. the median
C. the mode
D. either the mean or the median
Answer:
c. The mode
Step-by-step explanation:
The mode is the one that tells what is the most (model) preferred in a group. The most popular is the mode because there are more answers in the survey that prefer a certain model.
Answer:
C
Step-by-step explanation:
It has the most votes
write a recursive formula for the following arithmetic sequence. 6,-5,-16,-27, …
What does this mean
Find the area and perimeter of the shape
Which type of triangle will always have exactly 1-fold reflectional symmetry?
Answer:
Isosceles Triangle
Step-by-step explanation:
8
m_AHI = 13x +9, mZGHI = 137°,
and mZGHA = 8x + 2. Find x.
H
G
Answer:
x = 6
Step-by-step explanation:
<GHA + <AHI = <GHI
(8x + 2) + (13x + 9) = 137
8x + 13x + 2 + 9 = 137
21x= 137 - 11
x = 126/21
x = 6
A class of 35 students has 15 honor students and 10 athletes. Five of the honor
students are also athletes. One student is chosen at random. Find the probability that this student is an athlete if it is known that the student is not an honor student.
(Round to the nearest thousandth.)
Answer:
5/35 both or 14.285%
Step-by-step explanation:
15/35 honor students
10/35 athletes
5/35 both or 14.285%
I could be wrong.
How many integers between 1 and 1000 cannot be expressed as the difference of squares of integers?
Answer:
The number of integers that can't be expressed as a difference between the squares of two integers is 250.
Step-by-step explanation:
There are 35 kids in our class.
20% like cats. How many kids
in our class like cats?
Answer:
7 Kids like cats
Step-by-step explanation:
To generate the overall equation a → 2c, which two equations should be added together?.
To generate the overall equation A → 2C, should be B → 2C added to
A → B gives the equation A + B → B + 2C.
In mathematics, an equation is a method that expresses the equality of two expressions, by using connecting them with the equals signal =. The phrase equation and its cognates in other languages may also have subtly exclusive meanings; for example, in French, an equation is described as containing one or more variables, at the same time as in English, any nicely shaped formula together with expressions associated with an equal’s signal is an equation.
Solving an equation containing variables includes determining which values of the variables make the equality actual. The variables for which the equation must be solved are also known as unknowns, and the values of the unknowns that satisfy the equality are referred to as solutions of the equation. Equations come in two varieties: identities and conditional equations. An identification is actual for all values of the variables. A conditional equation is handiest genuine for unique values of the variables.
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A sector of a circle is shown below. Construct a line that represents all points equidistant from MN and MP. Would a reflection across this line map the figure onto itself? Why or why not?
A sector is a part of a circle bounded by two radii and an arc. So then, constructing a line that would represent all points equidistant from MN and MP implies the angle bisector of angle NMP.
The line which represents all points equidistant from MN and MP is an angle bisector of NMP. An angle bisector is a straight line that divides a given angle into two equal parts.
The steps required to construct the line are:
Using N as the center and any radius, describe an arc beyond arc NPPlace the compass at P as the center and the same radius, describe another arc to intersect the previous arc.Draw a line through the point of intersection to M. This is the required angle bisector.ii. Reflection is the process of turning a given shape or figure about a point or line. The reflection of the figure across the line (angle bisector) would not map the figure onto itself. This is because of the change in the orientation of the points N and P.
The construction to this question is attached to this answer for more clarifications.
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i need help with these asap!! i’ll give brainliest :)
Answer:
1) 12 (option b)
2) 41, 9, 40 (option a)
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
1) Let the unknown leg be x cm long. Thus,
5² + x² = 13²
Simplify and solve.
25 + x² = 169
x² = 144
x = 12
2) Apply the Pythagorean Theorem.
9² + 40² = 41² = 81 + 1600 = 1681
1681 = 1681
a is true.
Just in case, let's check the other options.
5² + 8² = 9² = 25 + 64 = 81
89 = 81, false
b is false
10² + 11² = 12² = 100 + 121 = 144
221 = 144, false
c is false
3² + 4² = 6² = 9 + 16 = 36
25 = 36, false
d is false
Thus, a is the answer.
1. The image below represents three planters that are filled with soil. Find the total volume of soil in the three planters. Planter A is 14 inches by 3 inches by 4 inches. Planter B is 9 inches by 3 inches by 3 inches.
Answer:
327 inches³
Step-by-step explanation:
Planter A volume = (14 × 3 × 4) inches
= 168 inches³
Planter B volume = (9 × 3 × 3) inches
= 31 inches³
Planter C volume = (3 × 3 × 13) inches
= 78 inches³
Total volume = (168 + 81 + 78) inches
= 327 inches³
Hope this helps and have a nice day
What is the constant term in the following expression?
4x - 2y + 3
The constant term in the expression is 3.
The expression is 4x ₋ 2y ₊ 3.
Here in this equation we have variables and constants.
variables = x and y whose coefficients are 4 and ₋2 respectively.
A variable is anything whose value can change and is not fixed. Typically, the letters x, y, z, etc. are used to indicate variables.
The above equation is in the form ax ₊ by ₊ c
An object with a fixed value in a circumstance is said to be a constant. We are aware that the constant is fixed, even though we do not know its exact value. In general, constants are represented by the letters a, b, c, p, q, etc. if their values are unknown or not given, and by particular numerical values) if their values are known.
Hence we get the constant term as 3.
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3) Long-run Effects Calculate the long-run (total) effect of a one-time, one unit jump in xt on y for each of these models. 3a) yt=.8+1.2xt+.4zt+ut 3b) yt=.8+.6xt+.2zt+.4xt−1+ut 3c) yt=.8+.6xt+1.1zt+.5yt−1+ut
For each of the given models, we will calculate the long-run effect of a one-time, one unit jump in xt on y.
a) The long-run effect of xt on y in Model 3a is 1.2.
b) The long-run effect of xt on y in Model 3b is 0.6.
c) The long-run effect of xt on y in Model 3c is not directly identifiable.
In Model 3a, the coefficient of xt is 1.2. This means that a one unit increase in xt leads to a 1.2 unit increase in y in the long run. The coefficient represents the long-run effect because it captures the average change in y when xt changes by one unit, holding other variables constant.
In Model 3b, the coefficient of xt is 0.6. This means that a one unit increase in xt leads to a 0.6 unit increase in y in the long run. The presence of the lagged variable xt−1 suggests that there might be some dynamics at play, but in the long run, the effect of the current value of xt on y is 0.6.
In Model 3c, there is a feedback loop as yt−1 appears on the right-hand side. This makes it difficult to isolate the direct long-run effect of xt on y. The coefficient of xt, which is 0.6, represents the contemporaneous effect, but it does not capture the long-run effect alone. To quantify the long-run effect, additional techniques such as dynamic simulations or instrumental variable approaches may be required.
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what is the slope of the line with points (4, 4) and (-2,-5)
Answer:
the slope would be -1/2
Step-by-step explanation:
-5 - 4
= -1/2
-2 - 4
6. Owen weighed 3 different bugs. List the bugs
in order from lightest to heaviest.
Bug
Fly
Spider
Bee
Weight
2.5 x 10-4 ounces
7.1 x 10-5 ounces
4 x 10-3 ounces
A. Spider, Fly, Bee
B. Fly, Bee, Spider
C. Spider, Bee, Fly
D. Fly, Spider, Bee
Find the missing angle measures?
Answer:
x)45
y)45
z)135
Step-by-step explanation:
What is the conversion of 2/5 in decimal ?
The conversion of a fraction number with denominator 5 and numerator 2 , 2/5 in decimals is equals to the 0.4 value.
A decimal number can be defined as a number whose whole number part and fractional part are separated by a decimal point. Writing 2/5 as a decimal number by converting the denominator to powers of 10. We multiply the numerator and denominator by a number so that the denominator is a power of 10.
2/5 = (2 × 2) / (5 × 2) = 4/10
Now move the decimal point to the left as many places as there are zeros in the denominator, which is a power of 10.
The decimal moved one place to the left because the denominator was 10. Therefore, 4/10 = 0.4. Hence, required value is 0.4.
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n how many ways can 6 students be seated in a row of 6 chairs if jack insists on sitting in the first chair?
6 students can be seated in a row of 6 chairs in 121 ways.
Given,
Number of students = 6
Number of chairs = 6
We have to find the number of ways the students can be seated in a row.
Here,
Jack insists on sitting in the first chair.
So, 1 way of sitting for jack.
Next,
5 students and 5 chairs are there.
So they can sit in;
5! = 120 ways
Therefore,
Total number of way of sitting is 120 + 1 = 121 ways.
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Use the distributive property to rewrite this expression.
4(c+8)
Answer: 4c+32
Step-by-step explanation: