Margin of error is statistical expressing the amount of a random sampling error in survay results not the error term from biased sampling method. So, correct answer is False.
What is Margin of error ?Margin of error in statistics represents the amount of random sampling error in the survey results. The larger the margin of error, the less confident that the survey results reflect the results of the census of the entire population. It is denoted by E or MOE. It is calculated by dividing the square root of the sample size by the standard deviation of the population. 99% level is the most conservative, 90% level is the least conservative. The sampling error is a statistical error that occurs when the analyst does not select a sample that is representative of the entire data population.
False - Margin of error only account for sample variability (the fact that my sample differs from many others' samples and therefore provides different statistics.
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Halona walks 1. 931. 93 kilometers to a neighbor's house in 2323 minutes. Assuming she walks at a constant speed, write a proportion that represents how many kilometers, yy, halona can walk in xx minutes. Then solve your proportion for yy.
The required proportional ratio is y = 0.08 x. gives Halona 23 minutes to move her 1.93 kilometers to her neighbor's house. As long as you move at a steady pace.
How many kilometers Halona can run in x minutes y expressed as a ratio. Then find y in percentage. The relationship between two or more proportional or inversely proportional sets of values, whether they are directly related or not, is called proportionality.
Here we have
yxxy = kxwhere k is the proportionality constant ofand at x = 23 y = 1.931.93 = 23k4 k = 2 444k = 1.93k = 0.08Substitute k into the proportional equation.
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find the distance from a vector (2; 3; 1)t to the subspace spanned by the vectors (1; 2; 3)t , (1; 3; 1)t .
By using Gram Schmidt process of orthogonalization, it can be calculated that-
Distance from a vector (2; 3; 1)t to the subspace spanned by the vectors [tex](1; 2; 3)^T , (1; 3; 1)^T[/tex] IS 2.51 units
What is Gram Schmidt process of orthogonalization?
In an inner product space, the set of mathematical operations which converts a set of linearly independent vectors into an orthonormal vector that spans the same set as spanned by the original vectors is called Gram Schmidt process of orthogonalization.
Distance from [tex]b=(2,3,1)^T[/tex] to W= [tex]Span\left \{u_1= (1,2,3)^T,u_2=(1,3,1)^T \right \}[/tex]
Here, Gram Schmidt process of orthogonalization is used
[tex]v_1=u_1=(1,2,3)^T\\ v_2=u_2-\frac{ < u_2,v_1 > }{||v_1||^2}v_1[/tex]
[tex]=(1,3,1)^T-\frac{(1,2,3)^T.(1,3,1)^T}{(1,2,3)^T.(1,2,3)^T}(1,2,3)^T\\ =(1,3,1)^T-\frac{1+6+3}{1+4+9}(1,2,3)^T\\ =(2/7,11/7,-16/14)^T[/tex]
[tex]v_2 =(2/7,11/7,-8/7) ^T[/tex]
[tex]proj_bW=\frac{(2,3,1)(1,2,3)}{(1,2,3)(1,2,3)}(1,2,3)+\frac{(2,3,1)(2/7,11/7,-8/7)}{(2/7,11/7,-8/7)(2/7,11/7,-8/7)}(2/7,11/7,-8/7)[/tex]
=(1.42, 5.11, -0.22)
[tex]b-proj_bW[/tex]=(2,3,1)-(1.42,5.11, -0.22)=(0.58,-2.11,1.22)
Required distance from b onto W=
[tex]||b-pro_bW||=||(0.58,-2.11,1.22)||=\sqrt{(0.58)^2+(-2.11)^2+(1.22)^2}[/tex] = 2.51 units
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A hollow pipe is submerged in a stream of water so that the length of the pipe is parallel to the velocity of the water. If the water speed doubles and the cross-sectional area of the pipe quadrupled, what happens to the volume flow rate of the water passing through it?.
The volume flow rate of the water passing through the pipe increases by a factor of 6.
Assuming that the initial cross sectional area of the pipe is A m² and the initial velocity of the water is V m/s, the water flow rate is:
= initial flow rate = area × velocity = AV m³/s
As the water speed doubles (2V m/s) and the pipe cross-sectional area triples (3A m²), the volume flow rate becomes:
Final flow rate = 2V × 3A = 6AV m³/s
As a result, the volume flow rate of the water moving through it multiplies by a ratio of six.
The basic equation for cases like these is
Q=AV,
where Q is the volume flow rate, A is the cross-sectional area occupied by the flowing material, and V is the average velocity of flow.
V is considered an average since not every component of a flowing fluid flows at the same rate. If you monitor the waters of a river moving slowly downstream at a consistent rate of gallons per second, you will see that the surface has slower currents here and faster currents there.
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Use the table below to find the indicated values:
The inverse functions required from the given table of values are;
f⁻¹(1) = 1/3
f⁻¹(12) = 1/13
f⁻¹(7) = 1/9
How to find the inverse of a function?An inverse function also called an anti function is defined as a function, that can reverse into another function. This simply means that, if any function “f” takes x to y then, the we can say that the inverse of the function “f” will take y to x. If the function is denoted by 'f' it means that the inverse function is denoted by f⁻¹(x)
For example, we have the function;
y = 2x + 3, the inverse would be;
f⁻¹(y) = (x - 3)/2
Thus, from the given table;
f⁻¹(1) = 1/3
f⁻¹(12) = 1/13
f⁻¹(7) = 1/9
Thus, we conclude that the inverse functions of f⁻¹(1), f⁻¹(12) and f⁻¹(7) are respectively 1/3, 1/13 and 1/9.
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A football team receives $258,000 in sponsorship for equipment, and the administrative costs are expected to be $27,000. What are the costs as a percentage of sponsorship revenue? (round to the nearest percent. ).
The administrative costs is approximately 10% of sponsorship revenue expressed as percentage.
Total amount of money received for equipment = $258,000
Total administrative cost = $27000
Percentage representation of the administrative costs =
= 27000 / 258000 × 100%
= 0.10465 × 100%
= 10.46...%
≈ 10 %
therefore the administrative cost is about 10 % of the whole sponsorship.
Long before the decimal system, calculations in Ancient Rome were regularly conducted in fractional multiples.
Augustus, for example, levied a centesima rerum venalium tax of one cent on commodities sold at auction. With these fractions, it was similar to computing percentages.
As money denominations grew in the Middle Ages, computations with a denominator of 100 became more widespread, becoming typical in mathematical literature from the late 15th through the early 16th centuries.
Several of these works used similar methodologies to investigate profit and loss, interest rates, and the Rule of Three. By the 17th century, interest rates were expressed in hundredths.
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A builder has some red and grey bricks. The red bricks weigh 9 kilograms each, and the grey bricks weigh 8 kilograms each. If the total weight of all 14 bricks is 120 kilograms, how many of each type of brick does Nellie have?
The number of red bricks is 6, and there are 8gray bricks.
What is the total number of red and grey bricks?To evaluate an algebraic expression, find the expression's value when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the expression's variable and then simplify the expression using the order of operations.Here given,
A red brick weighs 9 kg and a gray brick weighs 8 kg. The total number of bricks is 14, with a weight of 120kg.
Let x be a red brick and y be a gray brick.
x + y = 14bricks,
=> x = 14 - y bricks
9x + 8y = 120kg
9(14 - y) + 8y = 120
126 - 9y + 8y = 120
-y = -6
y = 6
14 - 6 = 8
The number of red bricks is 6, and the number of gray bricks is 8.
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hey whats the answer to this?
a) The amount of water in the tank will be 0 after 5 minutes.
b) As time increases, the amount of water decreases at a rate of -60 L/min.
At which time the water reaches 0 liters?Here we can see a graph of a linear function that relates the amount of water in an aquarium (vertical axis) with the time (horizontal axis).
The amount of water in the aquarium will reach the 0 liters mark when the line intercepts the x-axis.
We can see that happens for x = 5 minutes
b) We can see that as we move to the right (time flows to the right in that graph) the line goes downwards. This means that the amount of water on the tank decreases as the time increases.
We can see that in 5 minutes, the amount of water goes from 300 lites to 0 liters, so the rate at which the water comes out of the tank is:
R = 300L/5min = 60 liters per minute.
It should actually be written with a negative sign so we are 100% clear that it means that the water is coming out from the tank, so the rate is:
R = -60 L/min
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albert purchased a tract of land for $140,000 in 2019 when he heard that a new highway was going to be constructed through the property and that the land would soon be worth $200,000. highway engineers surveyed the property and indicated that he would probably get $180,000. the highway project was abandoned in 2022 and the value of the land fell to $100,000. what is the amount of loss albert can claim in 2022?
If the value of the land fell to $100000 , then the amount of loss albert can claim in 2022 is $0 .
In the question ,
it is given that ,
the value of the tract land in 2019 that Albert purchased = $140000
and he heard that after the new highway project the property and land would soon be worth of $200,000 .
after survey the value of the project will be = $180000 ,
after the abandoning of highway project , the value = $100000 .
but Albert cannot claim any loss because there was no transaction.
It is not given that Albert sold the land so neither did he gain or make a loss.
Therefore , the correct option is (e)None of these choices are correct .
The given question is incomplete , the complete question is
Albert purchased a tract of land for $140,000 in 2019 when he heard that a new highway was going to be constructed through the property and that the land would soon be worth $200,000. highway engineers surveyed the property and indicated that he would probably get $180,000. the highway project was abandoned in 2022 and the value of the land fell to $100,000. what is the amount of loss albert can claim in 2022 ?
(a) $100,000
(b) $60,000
(c) $40,000
(d) $80,000
(e) None of these choices are correct.
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Evaluate the expression: 2b + 3a if a = 2.6, b = 3
Answer:
13.8
Step-by-step explanation:
2b+3a
2(3)+3(2.6)
6+3(2.6)
6+7.8
13.8
how to find the size of the angle to the nearest degree tan v= 0.9657
The size of the angle to the nearest degree of tan v = 0.9657 will be 44°.
What is a trigonometric function?The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.
As per the given,
tan v = 0.9657
Take inverse tan on both sides of the above expression,
v = [tex]tan^{-1} 0.9657[/tex]
v = 44°
Hence "The angle at tan v = 0.9657 will be 44° to the closest degree.".
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Trish is paying $15 for a meal. She has a 10% off coupon for the meal. After the discount, a 6% sales tax is applied. What is the final cost of the meal?
Answer:
$9.01
Step-by-step explanation:
10 percent off of 15 is 8.5 and since sales tax is 6%, that means it adds 0.51 cents to the total, bringing the total to $9.01
Answer:
17.49
Step-by-step explanation:
15x0.10= 1.5
15+1.5= 16.5
16.5x0.06=0.99
16.5+0.99=
The product of three and a number plus five is 20
Answer:
5
Step-by-step explanation:
3 × 5= 15
15 + 5= 20
Answer: 5
Step-by-step explanation: 20-5 is 15 and then 3 * x must be 5 since 3x5=15.
8(−5x−8)=-3x-4−3x−4
Find for X
8(−5x−8)=-3x-4−3x−4
-40x-64=-3x-4-3x-4
-40x-64=-6x-8
-36x=-56
[tex]x=\frac{56}{36}[/tex]
[tex]x=\frac{14}{9}[/tex]
Following the route shown, what is the total distance traveled by the architectural tour if it ends where it started? What properties and theorems did you use to find the distance?
Using (SAS,CPCTC, and SSS) , it can be shown that the two triangles formed are congruent. Then using (SSS, SAS and CPCTC) the length of the road from the intersection to the first turn can be found to be ----------------- feet. Thus, the total length of the tour is-------------------- feet.
Using SAS, it can be shown that the two triangles formed are congruent. Then using SSS the length of the road from the intersection to the first turn can be found to be 200ft. Thus the total length of the tour is 1700ft.
What is congruent triangles?
If the three sides and the three angles of both angles are equal in any orientation, two triangles are said to be congruent.
The SAS formula states that if two sides and one angle of two triangle are the same then the triangles are congruent to each other.
Two lines AD, EC intersects each other at the point B . Therefore, ∠ABC = ∠DBE .
The length of the sides AC = DE, BC = BE .
The triangles ΔABC, ΔBDE are congruent to each other by the SAS formula.
The SSS formula states that two triangles are congurent to each other if the ratio of corresponding sides of two triangles are the same and vice-versa.
Use the SSS formula in the triangles ΔABC, ΔBDE and simplify to calculate the length of BD.
BD/200 = 300/300
BD/200 = 1
BD = 200
Therefore, using SSS the length of the road from the intersection to the first turn can be found to be 200ft.
Add the lengths of AB, BD, DE, EB, BC, CA to calculate the total length of the tour.
200 + 200 + 300 + 350 + 350 + 300 = 1700
The total length of the tour is 1700ft.
Hence, using SAS, it can be shown that the two triangles formed are congruent. Then using SSS the length of the road from the intersection to the first turn can be found to be 200ft. Thus the total length of the tour is 1700ft.
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Ethan buys a video game on sale. if the video game usually costs $39.99, and it was on sale for 20% off, how much did ethan pay? round to the nearest cent.
Amount paid by Ethan to buy a video game on sale of 20% with usual cost of $39.99 is equal to $32 ( nearest cent ).
As given in the question,
Usual cost of Video game bought by Ethan = $39.99
Sale discount received by Ethan on video game = 20%
Let 'x' be the amount paid by Ethan for video game.
Discount amount = 20% of $39.99
= ( 20 / 100 ) × 39.99
= 799.8/100
= $ 7.998
= $7.99
Amount to be paid by Ethan 'x' = $39.99 - $7.99
= $32 ( nearest cent)
Therefore, the amount paid by Ethan to purchase a video game on sale discount of 20% is given by $32.
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Find the slope of the line that passes through (1, 12) and (5, 5).
Answer: -7/4
Step-by-step explanation: see attached
8 ≤ -4(x - 1)
Please help me.
Answer: x ≤ -1
Step-by-step explanation:
8 ≤ -4x+4
4x+8 ≤4
4x ≤-4
x ≤ -1
Answer:
Step-by-step explanation:
first open the bracket by multiplying -4 through
8 ≤ -4x + 4
then group like terms and unlike terms
therefore; 8 - 1 ≤ -4x or -4x ≤ 8-4
-4x ≤ 7 then divide both side by -4
so, ⇒ x ≤ -4/4
x≤-1
Suppose the equation of line p is x=2 and the equation of line q is x=-1 what translation is equivalent to rp o rq
The transformation equivalent to the reflection across the line q = -1, followed by the reflection across the line p = 2, [tex]r_p \circ r_q[/tex] is a translation of 6 units to the right.
What is a reflection transformation?A reflection transformation is one in which the points of the image are mirrored across the line of reflection.
The coordinate of a point (x, y) following a reflection about the y-axis is the point (-x, y)
The line x = -1 is parallel to the y-axis, therefore, only the x-coordinate of the preimage point (x, y) will change following the reflection across the line, q, [tex]r_q[/tex], x = -1
The relative x-coordinate of a point (x, y) to the line x = -1 is x + 1
Therefore, the image of the point (x, y) following the reflection across the line x = -1 and relative to the line is the point (-(x + 1), y) = ((-x - 1), y)
Relative to the x-axis, the point ((-1 - x), y) is (-1 + (-1 - x), y) = (-2 - x, y)
The coordinate of a point (x, y) relative to the line x = 2 is (x - 2, y)
Therefore, the coordinate of the point ((-2 - x), y) relative to the line x = 2 is ((-2 - x) - 2, y) = ((-4 - x), y)
The image of the point ((-4 - x), y) following a reflection across the line x = 2, [tex]r_p[/tex], is (-(-4 - x), y) = ((4 + x), y)
Relative to the y-axis, the coordinate of the image point ((4 + x), y) is ((2 + (4 + x)), y)
((2 + (4 + x)), y) = ((6 + x), y)
The translation equivalent to the transformation, [tex]r_p \circ r_q[/tex] is a translation of 6 units to the right
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Which of the following is an example of continuous data?
1.The height of a Wolsey Hall student
2.The number of modules in a Wolsey Hall course
3.The number of Wolsey Hall students
4.The number of KS3 courses
5.The number of pages in your course book
The height of a Wolsey Hall student is an example of continuous data. Option 1. is the answer
How to identify examples of continuous data?Continuous data is data that can take any value. An easy way of identifying continuous data is that they are measured and not counted.
For example, height, weight, temperature and length are all examples of continuous data. Over time, some continuous data can change.
Thus, the height of a Wolsey Hall student is an example of continuous data because it is measured and not counted
Note: Other options are NOT continuous data because they include only data that can only be counted in whole numbers or integers, which implies that the data can not be split into fractions or decimals.
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Jessica bought two tickets of the same price. She then sold one of the tickets at a profit of 10% and the other
one at a loss of $18. It is given that the difference in the selling prices of these two tickets is $36.
(a) Find the cost of each ticket for Jessica.
(b) Did she make an overall profit or loss? Explain your answer
Please give explanation!!! Will give brainliest ty ty!!
Answer and Step-by-step explanation:
Let the cost of each ticket for Jessica be $x. If she sold one of the tickets at a profit of 10%, she got $x + 0.1*x = $1.1x from selling it. Similarly, if she sold the other ticket at a loss of $18, she got $x - $18 from selling it.
Since the difference in the selling prices of the two tickets is $36, we have $1.1x - ($x - $18) = $36. Solving this equation for x, we get $x = $36 / 0.1 = $360. Therefore, the cost of each ticket for Jessica was $360.
To determine whether Jessica made an overall profit or loss, we need to compare the total amount she received from selling the two tickets to the total cost of the tickets. The total amount she received from selling the two tickets was $1.1x + ($x - $18) = $1.1x - $18 + $x = $1.1x = $396. The total cost of the tickets was 2 * $360 = $720. Since $396 < $720, Jessica made a loss of $720 - $396 = $324 overall.
Does lower production cost increase profit?
Yes lower production cost increase profit.
Production costs are expenses, such as labor and materials that your company incurs within the course of producing the product that you simply offer to consumers. In common, the lower your generation cost, the higher your benefit, or the sum you've got remaining after you subtract your costs from your sales revenue. lower production costs generally lead to higher profits. When production costs are lower, companies can charge lower prices and still make a profit, or they can keep prices the same and earn higher profits. Lower production costs also reduce the amount of money spent on materials, labor, and other expenses, leaving more of the revenue as profit.
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Which function represents the exponential graph given that (0, 1) and (4, 81/16) are points that lie on the graph?
A ƒ(x) = (23)xƒ(x) = ( 2/3 ) x
B ƒ(x) = (4)xƒ(x) = ( 4 ) x
C ƒ(x) = (1)xƒ(x) = ( 1 ) x
D ƒ(x) = (3/2)x
Answer:
Step-by-step explanation:
A......
Find the y-coordinate of the y-intercept of the polynomial function defined below.
f(x)=7x^2-5x+9x^3-5+2x^4
By using the concept of intercept, it can be calculated that-
y-coordinate of the y-intercept is -5
What is intercept?
The distance from the origin to the point where the curve cuts the x axis is the x intercept of the curve.
The distance from the origin to the point where the curve cuts the y axis is the y intercept of the curve
The polynomial function is
f(x) = [tex]7x^2-5x+9x^3-5+2x^4[/tex]
For y-coordinate of y- intercept, we put x = 0
[tex]f(0) = 7(0)^2-5(0)+9(0)^3-5 + 2(0)^4[/tex]
= -5
y-coordinate of the y-intercept is -5
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Given f(x)=−x−1, find f(0)
Answer: -1
Step-by-step explanation: If you plug in 0 as x, the equation will become f(0)=-0-1. If you solve this, then f(0)=-1
Can the following question be considered as stactical question, and why?
Answer:Yes
Step-by-step explanation: It came because your asking questions that you have to gather data for.
You need 560 mL of a 70% alcohol olution. On hand, you have a 80% alcohol mixture. How much of the 80% alcohol mixture and pure water will you need to obtain the deired olution?
Answer:
Below
Step-by-step explanation:
x = amount of 80% to use
amount of alcohol in ingredients = amount of alcohol in final product
.8 x = .7 (560)
x = 490 ml
imagine you are drawing from a deck of 52 cards. determine the number of ways you can achieve the following 5-card hands drawn from the deck without repeats. (5 points each) a) a straight (5 cards of sequential rank). hint: when considering the ace, a straight could be ace, 2, 3, 4, 5 or 10, jack, queen, king, ace, but no other wrap around is allowed (e.g., queen, king, ace, 2, 3 is not allowed) b) a flush (5 cards of the same suit) c) a full house (3 cards of one rank and 2 from a single other rank) d) a straight flush (5 cards of sequential rank from the same suit)
Thus , the probability of that a) a flush (5 cards of the same suit) is .198% and probability of a 3 card of same rank and2 from single other rank is 0.07612 %
Describe probability.The field of mathematics known as probability studies numerical representations of the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, with 0 generally signifying the event's impossibility and 1 generally signifying its certainty.
Here,
a) It doesn't matter what suit the first card is. Any of the suits may be drawn first, provided that the following four cards are taken from the same deck and have the same suit.
The deck contains 13 of each suit, so after the first card is pulled, there are only 12 of that suit remaining. There are then 11 remaining for the third card, 10 remaining for the fourth card, and 9 remaining for the fifth and final card. The deck will also contain one fewer card overall each time.
(ℎ) = (2 ) ∙ (3 ) ∙ (4ℎ )\s∙ (5ℎ )
(ℎ) = [tex]\frac{12}{51} *\frac{11}{50} *\frac{10}{49} *\frac{9}{48}[/tex]
(ℎ) =11880 / 5997600
(ℎ)= 33/16660 = .00198 .198%
c) The probability of a 3 card of same rank and2 from single other rank
Since there are 13 ranks in the cards
So, P = [tex]\frac{13}{52} * \frac{12}{51} *\frac{11}{50} *\frac{13}{52} *\frac{12}{51}[/tex]
P = 267696/351655200
P=0 .0007612 or 0.07612 %
Thus , the probability of that a) a flush (5 cards of the same suit) is .198% and probability of a 3 card of same rank and2 from single other rank is 0.07612 %
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Number 14 is the question
The measure of x = 93 degree and y = 36 degree.
What is Angle Sum Property?According to the triangle's "angle sum property," a triangle's angles add up to 180 degrees.
The total of a triangle's three internal angles is 180 degrees, as stated by the angle sum feature of a triangle.
Given:
As, <QRP= 51
So, <QRP = <QPR= 51 {Angles opposite to equal sides are also Equal}.
In ΔPQR
<P+ <Q+ <R= 180
51 + 51 + <Q= 180
<Q= 180- 102
<Q= 78 degree.
So, <y = 1/2 <Q= 78/20 = 36 degree.
and, In small left Triangle
36 + 51+ x= 180
x = 180 - 87
x= 93 degree.
Hence, the measure of x = 93 degree and y = 36 degree.
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ignore the answer i put down
The equations that represent the pattern are:
P = 3n
P = 2n + 1
Options A and C are the correct answer.
What is an equation?An equation is a mathematical statement of two expressions connected by an equal sign.
Example:
2x = 5 is an equation.
We have,
P = 3 when n = 1.
a) P = 3n
P = 3 x 1 = 3
b) P = n + 3
P = 1 + 3 = 4
c) P = 2n + 1
P = 2x 1 + 1 = 2 + 1 = 3
d) P = 3 - n
P = 3 - 1 = 2
We see that,
P = 3n and P = 2n + 1 gives P = 3 when n = 1.
Thus,
P = 3n and P = 2n + 1 gives P = 3 when n = 1.
Options A and C are the correct answer.
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are 4:1 and 8:3 equivalent ratios?
Answer: No
Step-by-step explanation: