Answer:
Going from left to right:
1.) Yes
2.) No
3.) Yes
4.) No
5.) No
6.) Yes
7.) No
8.) No
9.) Yes
10.) No
11.) Yes
12.) Yes
13.) No
14.) Yes
15.) Yes
16.) No
Step-by-step explanation:
Functions cannot have any repeating x-coordinates.
1.) Yes
2.) No
3.) Yes
4.) No
5.) No
6.) Yes
7.) No
8.) No
9.) Yes
10.) No
11.) Yes
12.) Yes
13.) No
14.) Yes
15.) Yes
16.) No
PLEASE HELP!!
WORTH 30 PTS!!
Choose the first step in solving the following equation:
4(2x - 5) + 2x = 11
a 8x - 20 + 8x = 11
b 8x - 20 + 2x = 11
c 4(2x) + 2x = 16
d 4(4x - 5) = 11
e (2x - 5) + 2x = 7
Answer:
B) 8x - 20 + 2x = 11
Step-by-step explanation:
4(2x - 5) + 2x = 11
use pemdas
parenthesis comes first
open the parenthesis
4 * 2x - 4 * 5 + 2x = 11
8x - 20 + 2x = 11
Rapid rental car charges a $40 rental fee, $15 for gas, and $0.25 per mile driven. For the same car, Capital Cars charges $45 for rental and gas and $0.35 per mile. For how many miles is the rental cost at both companies the same
Answer:
The cost would be the same for 100 miles & Total cost would be $80.
Janelli and her best friend Cameron go shopping the function P parentheses X equals X exponent for subtract 3X exponent 3+ 2X exclamation at 2+24 represents how much money each girl spent based on the number of hours they were shopping if Jenny and Cameron go shopping for two hours how much money did they spent together
Answer:
$176
Step-by-step explanation:
Janelle and her best friend Carmen go shopping. the function p(t) = 5x^4 - 3x^3 + 2x^2 + 24 represents how much money each girl spent based on the number of hours they were shopping. If Janelle and Carmen each go shopping for 2 hours how much money did they spend together.
$58
$62
$176
$124
p(t) = 5x^4 - 3x^3 + 2x^2 + 24
Solve when x = 2 hours
p(t) = 5x^4 - 3x^3 + 2x^2 + 24
= 5(2)^4 - 3(2)^3 + 2(2)^2 + 24
= 5(16) - 3(8) + 2(4) + 24
= 80 - 24 + 8 + 24
= $88
how much money did they spent together?
= $88 × 2
= $176
They both spent $176 altogether
Ann is traveling by bus to see a friend who moved away from her neighborhood. She has been on the bus for 2 hours and has traveled 120 miles.
Answer:
She is going 60 Miles An Hour
Step-by-step explanation:
Need help ASAP!!! I'll give brainliest the the correct answer!!!
A.) BA ≅ BC
B.) AB ≅ AC
C.) CA ≅ CB
D.) No congruent sides
Answer:
A
Step-by-step explanation:
<A = 57
I need help fast plss
Answer:
F = FALSE
T = TRUE
A-F
B-T
C-T
D-F
E-T
F-F
G-F
Step-by-step explanation:
I'm not sure how to explain this but I'm sure someone will help, sorry, have a great day
Change the following rate into a unit rate: $12/6 burgers.
Answer:
$2/1 burger
Step-by-step explanation:
You have to divide the number that can divide into both the most which means twelve divided by 6 is two and 6 divided by 6 is 1 which means $2/1
Sarah received \$55dollar sign, 5 for her birthday. She used some of that money to buy 3 shirts priced at m dollars each.
The amount of money Sarah have left written as an expression is 55 - 3m
How to write equation?Amount Sarah received for her birthday = $55Number of shirts bought = 3Cost of each shirt = $mThe amount of money Sarah have left = Amount Sarah received for her birthday - (Number of shirts bought × Cost of each shirt)
= 55 - (3 × m)
= 55 - 3m
The complete question:
Sarah received $55 dollar sign,for her birthday. She used some of that money to buy 3 shirts priced at m dollars each. How much money does Sarah have left? Write your answer as an expression.
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The coordinate grid shows points A through K. What point is a solution to the system of inequalities? y < −2x + 10 y < 1 over 2x − 2 coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3 I B A F Question 8(Multiple Choice Worth 1 points) (04.06 MC) In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB. Graph of two intersecting lines. One line g of x is solid and goes through the points negative 3, 0, negative 4, negative 1 and is shaded in below the line. The other line f of x is solid, and goes through the points 1, 1, 2, negative 1 and is shaded in below the line. The graph represents which system of inequalities? y ≤ −2x + 3 y ≤ x + 3 y ≥ −2x + 3 y ≥ x + 3 y ≤ −3x + 2 y ≤ −x + 2 y > −2x + 3 y > x + 3 Question 9(Multiple Choice Worth 1 points) (04.06 LC) Choose the graph that represents the following system of inequalities: y ≤ −3x + 1 y ≤ 1 over 2x + 3 In each graph, the area for f(x) is shaded and labeled A, the area for g(x) is shaded and labeled B, and the area where they have shading in common is labeled AB. Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two lines intersecting lines. Both lines are solid. One line g of x passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two intersecting lines. Both lines are solid. One line passes g of x through points negative 2, 2 and 0, 3 and i
The graph that represents the system of inequalities will be y ≤ −2x + 3; y ≤ x + 3
How to depict the graph?The equation of the line will be:
y = mx + b
In this case, we can observe that both lines have the same y intercept and that the lines are solid.
Hence, graph that represents the system of inequalities will be y ≤ −2x + 3; y ≤ x + 3. The graph is attached.
When the coordinate grid shows points A through, the point that is a solution to the system of inequalities is negative 6 point G at negative 3, negative 10 point H at negative 4.
Finally, the graph that represents the following system of inequalities: y ≤ −3x + 1 y ≤ 1 over 2x + 3 is the graph of two intersecting lines where both lines are solid.
One line of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line.
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Identify the surfaces with the given vector equations describes r(u, v) = (u, 4v, u^2 - v^2) describes r(u, v) = (sin(u), v, 3 cos(v)) describes r(s, t) = 5si + (5 + t - 4) j + tk describes r(s, t) = t sin(s) i + 5t^2j + t cos(s) k
The surfaces described by the given vector equations are:
1.The surface is a hyperbolic paraboloid.
2.The surface is a part of a cylinder with radius 3 and axis parallel to the y-axis.
3.The surface is a plane parallel to the xy-plane and shifted upwards by 1 unit.
4.The surface is a twisted cylinder along the y-axis.
A vector equation of a surface in three-dimensional space is a function that maps a pair of parameters, say u and v, to a three-dimensional point in space (x, y, z) represented as a vector. The vector equation can be written in the form of r(u, v) = <x(u, v), y(u, v), z(u, v)>.
In general, there are different ways to represent the same surface using vector equations. For example, the surface of a sphere of radius r centered at the origin can be represented by the vector equation r(u, v) = <r sin(u) cos(v), r sin(u) sin(v), r cos(u)>, where u is the polar angle (measured from the positive z-axis) and v is the azimuthal angle (measured from the positive x-axis).
Vector equations can be useful in studying the geometry and properties of surfaces, such as determining their tangent planes, normal vectors, curvature, and surface area. They can also be used to parametrize surfaces for numerical calculations and simulations.
The surfaces described by the given vector equations are:
1.The surface is a hyperbolic paraboloid.
2.The surface is a part of a cylinder with radius 3 and axis parallel to the y-axis.
3.The surface is a plane parallel to the xy-plane and shifted upwards by 1 unit.
4.The surface is a twisted cylinder along the y-axis.
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You are opening a new checking account. Gringotts Bank has more branches nearby than Tellson’s Bank but charges more fees for cashier's checks. You go into branches every week to deposit cash but never use cashier's checks. Which bank would be the better choice for you?
Fared wants to enrol in a gym. He has two options, gym A that charges AED 50 as a start-up fee and AED 150 per month and gym B that charges AED 200 per month without a start-up fee. Let m be the number of months. a Which of the following statements represent the algebraic and verbal expressions for the membership fees of both gyms?
Answer:
hope it help......................
Its A
Among the contestants in a competition are 25 women and 25 men. If 3 winners are randomly selected, what is the probability that they are all men?
The probability that all three winners are men is approximately 11.73%.
To calculate the probability that all three winners are men, we need to first determine the total number of possible ways to select three winners from a group of 50 contestants. This can be calculated using the combination formula:
50 choose 3 = (50!)/(3!(50-3)!) = 19,600
So there are 19,600 possible combinations of three winners.
Next, we need to determine the number of ways to select three men from the group of 25 men. This can also be calculated using the combination formula:
25 choose 3 = (25!)/(3!(25-3)!) = 2,300
So there are 2,300 possible combinations of three men.
Finally, we can calculate the probability of selecting three men by dividing the number of ways to select three men by the total number of possible combinations:
P(three men) = 2,300/19,600 = 0.1173 or approximately 11.73%
Therefore, the probability that all three winners are men is approximately 11.73%.
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Need help fast on hs geometry please
\(\begin{gathered}15 = 4x + 3 \\ = > 4x = 15 - 3 \\ = > 4x = 12 \\ = > x = 3\end{gathered}
15=4x+3
=>4x=15−3
=>4x=12
=>x=3\)
Therefore, YZ = 4x + 3 = 4(3) + 3 = 12 + 3 = 15Answers:
3, 15
Hope you could get an idea from here.
Doubt clarification - use comment section.
A baker uses 34 cup of honey in one of his cakes. There are 60 calories in 18 cup of honey.How many calories are in 34 cup of honey?
Answer: 3/4 = 6/8
so u need 60*6, so
c=60*6 ?
c meaning calories
Answer:
How many calories are in 3/4 cup of honey? = 60/ 1/8*3/4
How many cups of honey will the baker use for 15 cakes? = 3/4*15
How many cakes could the baker make if he has 78 cup of honey? = 7/8 divided by 3/4.
Step-by-step explanation:
Promise this is tried and tested
Explain why the confidence intervals you constructed using the percentile method and the standard error method are not exactly the same.
The confidence intervals created using the percentile method and the standard error method are not exactly the same for two reasons:
First, the two methods are based on different assumptions about the population distribution of the sample. Second, the percentile method and the standard error method use different formulas to compute the confidence intervals. The standard error method assumes that the population is normally distributed, while the percentile method does not make any assumptions about the distribution of the population. As a result, the percentile method is more robust than the standard error method because it is less sensitive to outliers and skewness in the data. The percentile method calculates the confidence interval using the lower and upper percentiles of the bootstrap distribution, while the standard error method calculates the confidence interval using the mean and standard error of the bootstrap distribution.
Since the mean and percentiles are different measures of central tendency, the confidence intervals will not be exactly the same.
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need help can’t figure it out!
Answer:
Step-by-step explanation:
This is a trick question, about the red marks again. those marks are important b/c they tell you that the lengths are the same, so that the angles MUST also be the same. That is , D and E are equal
so set up your equations with that info
180 = 84 +2p
now use your algebra skillz to solve
180-84 / 2 = p
96/2 = p
48 = p
see??
Which equation is true when x=3?
A. 8x=28
B. x-19=16
C. 28+x=25
D. X/3=1
Answer:
D. X/3=1
Step-by-step explanation:
A. 8x = 28
8(3) = 28
24 = 28
Option A is wrong
B. x - 19 = 16
3 - 19 = 16
-16 = 16
Option B is wrong
C. 28 + 3 = 25
31 = 25
Option C is wrong
D. X/3=1
3/3 = 1
1 = 1
Option D is correct.
It is a straight path that goes on without end in two directions. What is it?
A. line
B. plane
C.ray
D. triangle
The correct answer is A. line. A line is a straight path that extends infinitely in both directions. It has no endpoints and continues indefinitely.
A line is a basic geometric object that is defined by two points or can be represented by a single equation. It is characterized by its straightness and infinite length, extending in both directions without any boundaries or endpoints. A line can be represented by a straight line segment with two distinct points or by an equation such as y = mx + b in a coordinate system.
On the other hand, a plane refers to a two-dimensional flat surface that extends infinitely in all directions. It is not a straight path but rather a flat, continuous surface. A ray, is a part of a line that has one endpoint and extends infinitely in one direction. It is not a straight path that continues indefinitely in both directions like a line.
A triangle is a closed geometric shape with three sides and three angles. It is not a straight path but rather a closed figure formed by connecting three non-collinear points.Therefore ,the correct answer is A.
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Write a recursive formula for the nth term of the sequence 5,12,19,26,....
Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence.
what is sequence ?A sequence in mathematics is an ordered collection of numbers that is typically defined by a formula or rule. Every number in the series is referred to as a term, and its location within the sequence is referred to as its index. Depending on whether the list of terms stops or continues indefinitely, sequences can either be finite or infinite. By their patterns or uniformity, sequences can be categorised, and the study of sequences is crucial to many areas of mathematics, such as calculus, number theory, and combinatorics. Mathematical, geometrical, and Fibonacci sequences are a few examples of popular sequence types.
given
The sequence's terms are all different by 7 (i.e., 12 - 5 = 19 - 12 = 26 - 19 =... = 7).
The following is a definition of a recursive formula for the nth element of the sequence:
a 1 = 5 (the first term of the series is 5) (the first term of the sequence is 5)
For n > 1, each term is derived by adding 7 to the preceding term, so a n = a n-1 + 7.
Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence. For instance, we have
a_2 = a_1 + 7 = 5 + 7 = 12
a_3 = a_2 + 7 = 12 + 7 = 19
a_4 = a_3 + 7 = 19 + 7 = 26
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working alone, stefan can tar a roof in 17
hours. jaidee can tar the same roof in 18
hours. find how long it would take them
if they worked together.
round your answer to the nearest hundredth and include your units.
Stefan take 17 hours and Jaidee 18hours ,time taken by both of them if they work together is equal to 8.74 hours.
As given,
Time taken by Stefan 17 hours
work in 1 hour = 1/ 17
Time taken by Jaidee = 18 hours
work in 1 hour = 1/18
If worked together:
Work complete in 1 hour = (1/17) + (1/18)
= 35 / (17)(18)
Time taken to complete 1 work= (17)(18) /35
= 8.74 hours
Therefore, ,time taken by both of them if they work together is equal to 8.74 hours.
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What is the area of the two-dimensional cross section that is parallel to face abc? enter your answer in the box. Ft².
The area of a two-dimensional cross-section depends on the shape it represents, such as a square, rectangle, triangle, circle, or any other polygon. Each shape has its own formula for calculating its area.
In order to determine the area of the cross-section, we need additional information such as the shape of the cross-section, its dimensions, or any other relevant details. Without this information, it is not possible to calculate the area. Please provide more details or a specific shape or scenario so that an accurate answer can be generated. Once the shape is specified, the appropriate formula can be applied to calculate the area.
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A student wants to compare textbook prices for two online bookstores. She takes a random sample of five textbook titles from a list provided by her college bookstore, and then she determines the prices of those textbooks at each of the two websites. The prices of the five textbooks selected are listed below in the same order for each online bookstore. com: $115, $43, $99, $80, $119 com: $110, $40, $99, $69, $109 Are these independent or dependent samples? Dependent. Different textbooks are being compared. Dependent. The same textbooks are being compared. Independent. Different textbooks are being compared. Independent. The same textbooks are being compared. To construct a confidence interval, the data must be checked for outliers. (Is it reasonable to assume that the data came from a normal population?) Which variable should be checked? the prices of textbooks from B.com the difference between the average textbook price for A.com and the average textbook price for B.com the difference between the textbook price from A.com and the textbook price from B.com for each textbook, the prices of textbooks from A.com Find a 96% confidence interval for the mean difference in textbook prices at the two online bookstores. (Use d = A.com - B.com.) (Use 3 decimal places)
A 96% confidence interval for the mean difference in textbook prices at the two online bookstores is (3.22,8.38).
What is a confidence interval?
An estimated range for an unknown parameter is known as a confidence interval. The 95% confidence level is the most popular, however other levels, such as 90% or 99%, are occasionally used when computing confidence intervals.
Here, we have
The mean and standard deviation are M = 5.8 and s = 4.658
To calculate the estimated standard error, we apply
S = \(\sqrt{s^2/n}\)
=\(\sqrt{4.658^2/5}\)
= 2.08
The 96% confidence interval is :
CI = x ±t₉₆s/√n
= 5.8 ±2.7764× 2.08/√5
= 5.8±2.58
= (3.22,8.38)
Hence, a 96% confidence interval for the mean difference in textbook prices at the two online bookstores is (3.22,8.38).
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now, let's consider the effects of time dilation. how far would the pion actually travel before decaying?
To get the number of half-lives passed, we divide the time of flight from part a by the length of a half-life, as
given in the statement of the problem:
Number of half lives = 2×10−4
1.5×10−6 ≈ 133
The fraction of remaining muons will decrease by 1/2
every half life, so the fraction after a given number N of
half-lives will be:
1/2 × 1/2 × 1/2
· · · N times · · · × 1/2 = ( 1/2)N .
This makes the fraction remaining equal to 1/2 to the power 133:
fraction remaining = ( 1/2)
133 ≈ 10−40. That’s not very many muons
First-generation quarks are what make up pions, which are mesons with no spin. An anti-down quark and an up quark are described in the quark model. In addition to vector, rho, and omega mesons, the exchange of virtual pions also explains why there is still a strong interaction between nucleons. Pions are typically created in high-energy collisions between hadrons and are not created during radioactive decay. In some matter-antimatter annihilation processes, pions are also produced.
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Note that the full question is:
Ne of the many fundamental particles in nature is the muon mu. This particle acts very much like a "heavy electron." It has a mass of 106 MeV/c^2, compared to the electron's mass of just 0.511 MeV/c^2. (We are using E = mc^2 to obtain the mass in units of energy and the speed of light c).Unlike the electron, though, the muon has a finite lifetime, after which it decays into an electron and two very light particles called neutrinos (nu). We'll ignore the neutrinos throughout this problem.
If the muon is at rest, the characteristic time that it takes it to decay is about 2.2 microseconds. Most of the time, though, particles such as muons are not at rest and, if they are moving relativistically, their lifetimes are increased by time dilation. In this problem we will explore some of these relativistic effects.
Cosmic rays are constantly raining down on the earth from outer space. (Figure 1)The majority of these cosmic rays are protons, and when upper atmosphere, they can convert into particles called pions (), which subsequently decay into muons with a characteristic lifetime of T.
Suppose that a cosmic-ray proton crashes into a nitrogen molecule in the upper atmosphere. 45 km above the earth's surface, producing a pia a muon. Assume that the pion has a velocity of 99.99% the speed of light and decays into a muon, which, owing to kinematics, has a downward velocity of 99.9943% the speed of light.
now let’s consider the effect of time dilation how far would the pion actually travel before decaying?
Rewrite the sentences below to make them more concise. During that time period, many car buyers preferred cars that were pink in color and shiny in appearance.
Answer:
Pink, shiny cars were preferred by buyers at that time
Step-by-step explanation:
Rewriting the sentence, removing unnecessary words
Callan knows that the area of a square piece of artwork he owns is 289 square inches. Which shows the correct step he should take if he wants to find out the side lengths of the piece of artwork?.
Answer:
One side length is 17. Because you square root 289 to figure out the side length.
Step-by-step explanation:
The area of a square is a side length * a side length
or l^2 = 289
sqrt or 289 = 17
factor each polynomial by grouping
^(3)+4x^(2)+2x+8
4b^(3)-6b^(2)+10b-15
2m^(3)+4m^(2)+6m+12
7r^(3)-35r^(2)+6r-30
10a^(3)+4a^(2)+5a+2
The required factor each polynomial by grouping are factored.
What are polynomials?A polynomial is an algebraic expression in which the operators "+" and "-" are used to separate terms, and the exponents of the variables are consistently non-negative integers. Polynomials include, for instance, x² + x + 5, y² + 1, and 3x³ - 7x + 2.
According to question:1)1) \(x^3+4x^2+2x+8\)
can be factored by grouping as:
\(x^3 + 2x + 4x^2 + 8\)
= \(x(x^2+2) + 4(x^2+2)\)
= \((x+4)(x^2+2)\)
2) \(4b^3-6b^2+10b-15\)
can be factored by grouping as:
\(2b^2(2b-3)+5(2b-3)\)
=\((2b-3)(2b^2+5)\)
3)\(2m^3+4m^2+6m+12\)
can be factored by grouping as:
\(2m^2(m+2) + 6(m+2)\)
= \((2m^2+6)(m+2)\)
= \(2(m^2+3)(m+2)\)
4) \(7r^3-35r^2+6r-30\)
can be factored by grouping as:
\(7r^2(r-5)+6(r-5)\)
=\((7r^2+6)(r-5)\)
\(10a^3+4a^2+5a+2\)
can be factored by grouping as:
\(2a^2(5a+2)+1(5a+2) = (2a^2+1)(5a+2)\)
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Diane sold some stuffs at a garage sale. She spent one-half of the money she made on a new bicycle. Next, she spent one-half of what was left on a portable stereo. If Diane had $40.00 left, how much money did she make from the garage sale
Answer:
$160
Step-by-step explanation:
Diane sold some stuffs at a garage sale.
Let the total value of the money Diane made = x
She spent one-half of the money she made on a new bicycle.
Amount spent on a Bicycle = 1/2 × x = 1/2x
Next,
Amount left
= x - 1/2x = 1/2x
She spent one-half of what was left on a portable stereo.
Amount spent spent on Portable stereo
= 1/2 × 1/2x
= 1/4x
If Diane had $40.00 left,
Hence:
The fraction of what was left is calculated as:
= x - (1/2x + 1/4x)
= x - (3/4x)
= 1/4x
Hence:
1/4x = $40
We can find the value of x now.
1/4 × x = $40
x/4 = $40
x = $40 × 4
x = $160
Therefore, the amount she made from the garage sale is $160
Answer:
Hey hey guys, it is 160.00
Step-by-step explanation:
How do I solve this problem?
QR has a length of 2√3. According to the given question
HOW TO CALCULATE THE SIDE OF THE SQUARE ?
In order to solve for QR, we need to use the information given to us in the problem and apply some basic geometry concepts.
First, we know that the diagonals of a square are perpendicular bisectors of each other, meaning they intersect at a 90-degree angle and divide each other in half. This tells us that the length of the diagonal is equal to the square root of two times the length of one of the sides of the square, or d = s√2.
Next, we are given that the midpoint of one of the diagonals is point U, and that US has a length of 3. Because U is the midpoint of the diagonal, we know that SU and UR are equal in length. Let's call this length x.
Now we can use the Pythagorean theorem to solve for x:
(US)²+ (UR)² = (SR)²
3²+ x= (s√2)²
9 + x² = 2s²
We also know that SU and UR are each equal to x, so:
2x² = s²
We can substitute 2x² for s² in the previous equation:
9 + x² = 2(2x²)
9 + x²= 4x²
3x² = 9
x² = 3
x = √3
Now we can use x to solve for the length of QR:
QR = 2x = 2√3
Therefore, QR has a length of 2√3.
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An Amtrak official obtains data on a particular day concerning the length of time (in minutes) that the metroliners leaving New York take to reach Philadelphia, with the following results:
93 89 91 87 91 89
Find the sample variance.
a. 3.6
b. 5.6
c. 6.8
d. 7.6
e. 4.4
The sample variance for the given data is 4.4 minutes. This corresponds to option e. in the list of choices provided.
The sample variance is a measure of how much the individual data points in a sample vary from the mean.
It is calculated by finding the average of the squared differences between each data point and the mean.
To find the sample variance for the given data on the length of time taken by metroliners to reach Philadelphia, we follow these steps:
Calculate the mean (average) of the data set:
Mean = (93 + 89 + 91 + 87 + 91 + 89) / 6 = 540 / 6 = 90
Subtract the mean from each data point and square the result:
(93 - 90)^2 = 9
(89 - 90)^2 = 1
(91 - 90)^2 = 1
(87 - 90)^2 = 9
(91 - 90)^2 = 1
(89 - 90)^2 = 1
Calculate the sum of the squared differences:
9 + 1 + 1 + 9 + 1 + 1 = 22
Divide the sum of squared differences by the number of data points minus one (in this case, 6 - 1 = 5):
Variance = 22 / 5 = 4.4
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