The sampling distribution of the A tile in this population is 0.04.
The sampling distribution is a probability distribution of an observed result from a sample that is used to draw inferences about a population. In the game of Scrabble, the sampling distribution is used to draw inferences about the population of 100 tiles. Specifically, the sampling distribution explains the likelihood of a certain tile being drawn. For example, if the population contains 4 A tiles and 96 other tiles, then the probability of drawing an A tile is 4/100 or 0.04. This probability is the sampling distribution of the A tile in the population of 100 tiles. The sampling distribution can also be represented by the formula P(X=x)=nx/n, where n is the total number of tiles and x is the number of tiles of a certain type. Therefore, in the example above, P(X=A)=4/100=0.04. Thus, the sampling distribution of the A tile in this population is 0.04.
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The graph shows a linear relationship between x and y, where x represents the number of comic books, all at the same price, Priya buys at the store, and y represents the amount of money (in dollars) Priya has after buying the comic books.
a) The y - intercept of the graph is, 20.
b) The slope of the line is, - 4
c) The equation of line is, y = - 4x + 20
d) The cost of 3 comics = $8.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
We have to given that;
The graph shows a linear relationship between x and y, where x represents the number of comic books, all at the same price, Priya buys at the store, and y represents the amount of money (in dollars) Priya has after buying the comic books.
Now, By the graph;
Let two points on the graph are (5, 0) and (0, 20).
Since, The equation of line passes through the points (5, 0) and (0, 20).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (20 - 0) / (0 - 5)
m = 20 / - 5
m = - 4
Thus, The equation of line with slope - 4 is,
⇒ y - 0 = - 4 (x - 5)
⇒ y = - 4x + 20
Thus, The y - intercept of the graph = 20
Now, When Priya buy 3 comics, then the cost of comics are,
⇒ y = - 4x + 20
⇒ y = - 4 × 3 + 20
⇒ y = -12 + 20
⇒ y = $8
Thus, We get;
a) The y - intercept of the graph is, 20.
b) The slope of the line is, - 4
c) The equation of line is, y = - 4x + 20
d) The cost of 3 comics = $8.
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The scatter plot shows the relationship between the amount of time students in a mathematics class studied for an exam and their score on the exam.
Which of the following describes the pattern of association for the graph?
There is a positive linear association.
There is a positive nonlinear association.
There is a negative linear association.
There is a negative nonlinear association.
The pattern associated with the scatter plot is given as follows:
There is a positive nonlinear association.
How to classify the pattern?The scatter plot shows a series of points in (input, output) format, in which the input is the time studying in minutes and the output is the grade.
As the increasing graph shows, the more a person studies, the better the grade, hence there is a positive relationship among the variables.
The increase is slow initially while it has a higher rate for a higher number of minutes, hence the association is also nonlinear.
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problem solving you are making 6 quarts of fruit punch for a party. you have bottles of 100% fruit juice and 20% fruit juice. how many quarts of each type of juice should you mix to make 6 quarts of 80% fruit juice? you should mix 5 quart(s) of 100% fruit juice and 0 quart(s) of 20% fruit juice.
you should mix 4.5 quarts of 100% juice and 1.5 quarts of 20% juice. a=4.5, b= 1.5
The US liquid quart is equivalent to two liquid pints, or one-fourth US gallon (57.75 cubic inches, or 946.35 cubic centimetres), and the US dry quart is equivalent to two dry pints, or 1/32 bushels (67.2 cubic inches, or 1,101.22 cubic cm). 32 ounces, 2 pints, 4 cups, and 14 gallon are all equivalent to one US liquid quart. When converting any dry component, keep in mind that a dry quart is equivalent to 4.6546 cups. A quarter gallon is equal to one quart in English (symbol: qt). The liquid and dry quarts of the US customary system and the imperial quart of the British imperial system are the three types of quarts now in use. They all generally measure one litre.
Let you should mix a quarts of 100% juice and b quarts of 20% juice.
[tex]a+b=6[/tex]
100%a+20%b=6*8%
By solving the system of equation.
a=4.5
b= 1.5
So you should mix 4.5 quarts of 100% juice and 1.5 quarts of 20%.
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Write a
linear function f with f (0) = 3 and
f (-6) = 3.
f (x) =
Answer:The linear function f with the given points is: f(x) = 3.
The linear function is a straight line that passes through two points (0, 3) and (-6, 3). This means that the equation of the line is given by y = mx + c, where m is the gradient of the line and c is the y-intercept. In this case, the 0,3 and -6,3 points have the same y-value, so the y-intercept is equal to 3.
To find the gradient of the line, we must use the formula m = (y2-y1)/(x2-x1). Therefore, the gradient of the line is m = (3-3)/(-6-0) = 0, meaning that the equation of the line is y = 3.
Step-by-step explanation:
The linear function f with the given points is: f(x) = 3.
The linear function is a straight line that passes through two points (0, 3) and (-6, 3). This means that the equation of the line is given by y = mx + c, where m is the gradient of the line and c is the y-intercept. In this case, the 0,3 and -6,3 points have the same y-value, so the y-intercept is equal to 3.
To find the gradient of the line, we must use the formula m = (y2-y1)/(x2-x1). Therefore, the gradient of the line is m = (3-3)/(-6-0) = 0, meaning that the equation of the line is y = 3.
Help please ASAP.......
The solution is, the circumference of the circle with radius 14in. is 87.96 inch.
What is perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.
Perimeter refers to the total outside length of an object,
here, we have,
the radius = r = 14 inch.
we know,
circumference = 2*pi* r
so, calculating we get,
circumference = 87.96 inch.
Hence, The solution is, the circumference of the circle with radius 14in. is 87.96 inch.
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Let S be a sample space for an experiment in which every outcome is both equally likely and mutually exclusive. What can you conclude about the sum of the probabilities for all of the outcomes? Give an example.
The conclusion abput the sum of the probabilities is that the sum for all outcomes in a sample space for the experiment is equal 1.
How to make conclusion about the sumThe sum of the probabilities for all outcomes in a sample space for an experiment must equal 1.
This is because the probability of an event is the number of favorable outcomes divided by the number of total outcomes in the sample space,
And since all outcomes are equally likely and mutually exclusive, the sum of their individual probabilities must equal 1.
Example:
Consider a fair die, the sample space S is the set of all possible outcomes {1, 2, 3, 4, 5, 6}.
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-2/3 in its simplest form
Answer:
Step-by-step explanation:Find the GCD (or HCF) of numerator and denominator GCD of 2 and 3 is 1
Divide both the numerator and denominator by the GCD 2 ÷ 1 3 ÷ 1
Reduced fraction: 2 3 Therefore, 2/3 simplified to lowest terms is 2/3.
Sarah has been working at her new job for 2 weeks now and she just got her first paycheck for the amount of $875. If Sarah had worked for 35 hours per week during those 2 weeks, how much does she get paid per hour?
Therefore , the solution of the given problem of fraction comes out to be $25 she get paid per hour.
Define fraction.A whole can be represented by any class of similar sums or fractions. A fraction is used to express the amount of a particular size in standard English. 8, 3/4. Fractions are also wholes. In mathematics, numbers are represented by the fraction to numerator ratio. All of these fractions are simple integers. The fraction of a challenging fraction contains a fraction. due to the variations in actual fraction calculations, numerators, and numerators.
Here,
Given :
=> new job 2 weeks
=> amount = $875
35 hours work per week
So,
Per hour she get paid is :
=> 875/35
=> 25
Thus,
$25 she get paid.
Therefore , the solution of the given problem of fraction comes out to be $25 she get paid per hour.
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A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.
A spinner divided into eight equal colored sections, with one orange, two purple, two yellow, and three blue.
Which statement about probability is true?
The probability of landing on orange is greater than the probability of landing on purple.
The probability of landing on yellow is less than the probability of landing on blue.
The probability of landing on orange is equal to the probability of landing on yellow.
The probability of landing on purple is equal to the probability of landing on blue.
The probability of landing on yellow is less than the probability of landing on blue.
==========================================================
Explanation:
We have the following:
There are 2 purple sections labeled "1" and "8". The probability of getting purple is 2/8.There are 2 yellow sections labeled "2" and "3". The probability of getting yellow is 2/8.There are 3 blue sections labeled "4", "5", and "6". The probability of getting blue is 3/8.There's only one orange section (labeled "7"). The probability of getting orange is 1/8.In short,
Probability of purple = 2/8Probability of yellow = 2/8Probability of blue = 3/8Probability of orange = 1/8Normally the goal is to reduce the fractions, but in this case it's better to keep them as they are. This allows for easier comparisons of other fractions.
------------
Now to look through the answer choices to see which are true, and which are false.
A) This is false because the probability of orange is 1/8, while the probability of purple is 2/8. We're twice as likely to get purple compared to orange. Statement A is backwards and therefore false.B) This is true. The probabilities of yellow and blue are 2/8 and 3/8 respectively. Compare the numerators to see that 2 < 3, so 2/8 < 3/8. Choice B is the final answer.C) This is false. We found that the probability of orange was 1/8, while the probability of yellow was 2/8. It's clear that 1/8 and 2/8 aren't equal. Or you could say [tex]1 \ne 2 \rightarrow 1/8 \ne 2/8[/tex]D) This is false. The probabilities of purple and blue are 2/8 and 3/8 respectively. Like with choice C, it's clear that 2/8 and 3/8 aren't equal.Please help me with this
Elijah opened a checking account with $588 and deposits $25 into it every week. He
opened another checking account with $385 and deposits $35 into it every week. Write a
simplified expression to represent how much he will have in both accounts after w weeks.
Show your work below!
t-
Expression to represent total amount Elijah will have in both accounts after two weeks is 60w + 973
What is expression?An expression or algebraic expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them.
Given,
Elijah opened a checking account with $588 and deposits $25 into it every week.
Expression for the amount in w weeks = 25w + 588
He opened another checking account with $385 and deposits $35 into it every week.
Expression for the amount in w weeks = 35w + 385
Total amount in both bank accounts in w weeks
= 25w + 588 + 35w + 385
Adding like terms
= 60w + 973.
Hence, expression, 60w + 973 represents the amount Elijah will have in both accounts after w weeks.
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I am bigger than 15. I am less 1/4 of 100. I am a common multiple of 3 and 4. Who am I?
Answer:
24
Step-by-step explanation:
24 is bigger than 1524 is less than 1/4 of 100, which is 2524 is a common multiple of 3 and 4, we know this because 3×4 is 12, and 12×2 is 24.(−6x−2)+(6x
2
−5x−10)
Answer:11x
Step-by-step explanation:
(−6x−2)+(6x2−5x−10)
first solve whats inside the brackets.
=-6x-2+(12-5x-10)
=-6x-2+(2-5x)
then open the brackets and solve the rest using order of operations.
=-6x-2+2-5x
=11x
jasmine and ron drive away from pat's diner at the same time. jasmine drives west at 42 mi/h and ron drives south at 56 mi/h. find the rate (in mi/h) at which is the distance between jasmine and ron is increasing after four hours.
After 4 hours, the distance between Jasmine and Ron is increasing at a rate of 54 mi/h.
To find the rate at which the distance between Jasmine and Ron is increasing after four hours, we need to use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the distance between them and their respective speeds.
The distance between them after 4 hours is given by the square root of the sum of the squares of their respective distances traveled:
[tex]\sqrt{((42 * 4)^2 + (56 * 4)^2)}[/tex]
The rate at which this distance is increasing is equal to the magnitude of the velocity vector of their relative motion, which can be found using the hypotenuse formula:
[tex]\sqrt{(42^2 + 56^2)} = \sqrt{(2916) }= 54 mi/h[/tex]
So, after 4 hours, the distance between Jasmine and Ron is increasing at a rate of 54 mi/h.
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Which statement below compares the decimals correctly?
A 0.63 < 0.48
B 0.48 = 0.63
C 0.63 > 0.48
D 0.48 > 0.63
Answer:
C 0.63 > 0.48
Step-by-step explanation:
Not A, Because: 0.63 Is GREATER than 0.48 not less
Not B, Because: Like I said up top 0.63 is GREATER
Yes C, Because: 0.63 Is GREATER than 0.48
Not D, Because: 0.48 is LESS than 0.63
an open-pit coal mine consumes 87 hectares of land, down to a depth of 30m, each year. what volume of earth, in cubic kilometers, is removed in this time?
The required volume of the earth in cubic kilometers as per given hectares of land and its depth is equal to 0.0261 km³.
Hectare of land consumed by an open -pit coal mine = 87 hectares
Convert hectare into square meters
1 hectares = 10⁴ square meter
87 hectares = 87 × 10⁴ square meter
Depth = 30 m
Area of land = 87 × 10⁴ square meter
Volume of earth = area of land × depth
⇒ Volume of earth = 87 × 10⁴ m² × 30 m
⇒ Volume of earth = 261 × 10⁵ m³
1 kilometer = 10³meters
⇒1m³ = 10⁻⁹ km³
Volume of the earth = 261 × 10⁵ × 10⁻⁹ km³
⇒Volume of the earth = 261 × 10⁻⁴ km³
= 0.0261 km³
Therefore, the volume of the earth as per given area of land and depth is equal to 0.0261 km³.
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P=(t -w)/y
t = 9.7 correct to 1 decimal place
w = 5.9 correct to 1 decimal place
y = 3 correct to 1 significant figure
Calculate the upper bound for the value of P.
Show your working clearly.
The value of the expression correct to 1 decimal place is P = 1.3.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
The given expression is, P = (t - w)/y.
Where, t = 9.7 correct to 1 decimal place, w = 5.9 correct to 1 decimal place
and y = 3 correct to 1 significant figure.
Therefore, P = (9.7 - 5.9)/3.
P = 3.8/3.
P = 1.26 or P = 1.3.
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5. Which number is the square of 5√2-1? A. 23 - 5√2 B. 15√2-2 C. 51 - 10/2 D. 20√2-5 E. 100 + 4√2
Answer:
C. 51 -10√2
Step-by-step explanation:
You want the square of 5√2 -1.
SquareThe square of 5√2 -1 can be found using the distributive property.
[tex](5\sqrt{2}-1)^2=(5\sqrt{2}-1)(5\sqrt{2}-1)\\\\=5\sqrt{2}(5\sqrt{2}-1) -1(5\sqrt{2}-1)\\\\=(5\sqrt{2})(5\sqrt{2}) -5\sqrt{2}-5\sqrt{2}+1\\\\=25(\sqrt{2})^2-10\sqrt{2}+1\\\\=25\cdot2+1-10\sqrt{2}=\boxed{51-10\sqrt{2}}[/tex]
343a^3 - 1000b^3 factorise
[tex](343a)^{3}[/tex] - [tex](1000b)^{3}[/tex] can be factorised as (343a - 1000b)(343[tex]a^{2}[/tex] + 1000ab + 1000[tex]b^{2}[/tex]).
What is expression?Expression is a mathematical combination of symbol such as number and operators which produce the mathematical result and expression.
(343a - 1000b)(343[tex]a^{2}[/tex] + 1000ab + 1000[tex]b^{2}[/tex])
This expression can be factorised as the product of two binomials. The first binomial is (343a - 1000b). This can be seen by subtracting 1000[tex]b^{3}[/tex] from 343[tex]a^{3}[/tex], leaving us with 343[tex]a^{3}[/tex] - 1000[tex]b^{3}[/tex], which can be written as (343a - 1000b).
The second binomial is (343[tex]a^{2}[/tex] + 1000ab + 1000[tex]b^{2}[/tex]). This can be seen by expanding the cube of (343a - 1000b), leaving us with (343[tex]a^{2}[/tex] - 1000[tex]b^{2}[/tex] + 2000ab). Rearranging this expression gives us (343[tex]a^{2}[/tex] + 1000ab + 1000[tex]b^{2}[/tex])
Therefore, 343[tex]a^{3}[/tex] - 1000[tex]b^{3}[/tex] can be factorised as (343a - 1000b)(343[tex]a^{2}[/tex] + 1000ab + 1000[tex]b^{2}[/tex]).
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Which property is represented by the equation below? 1/3 + (2/3 + 1/7) = (1/3 + 2/3) + 1/7
A property which is represented by the equation above is
What is the Associative Property of Addition?The Associative Property of Addition states that when three (3) numbers are added, the end result would always be the same regardless of the way the numbers are grouped.
Generally speaking, the Associative Property of Addition allows the addends to be re-grouped without causing a change in the result, output, or outcome.
By applying the Associative Property of Addition, we have the following;
1/3 + (2/3 + 1/7) = (1/3 + 2/3) + 1/7
8/7 = 8/7
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Find the area of the surface generated when the given curve revolved about the xx-axis.y=8√xy=8x on [9,20][9,20]
As a result, the area of the surface formed by rotating the given curve about the x-axis throughout the period [9, 20] is 864π.
What is area?The size of a region on a surface is measured in area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina.
Here,
The area of the surface generated when a curve is revolved about an axis is known as the surface area of revolution and can be calculated using the formula:
A = 2π ∫ y dx
where y is the equation of the curve being revolved and the integral is taken over the interval [a,b] in which the curve is being revolved.
In this case, the curve is given by y = 8√x on the interval [9, 20]. So, the surface area of revolution is:
A = 2π ∫_9^20 8√x dx
This integral can be evaluated using substitution. Let u = √x, so that du = dx / 2√x and x = u^2. Then:
A = 2π ∫_3^4 8u * 2u du
= 2π * 8 * ∫_3^4 u^2 du
= 2π * 8 * [u^3/3]_3^4
= 2π * 8 * (64/3 - 27/3)
= 2π * 8 * (37/3)
= 864π
So, the area of the surface generated when the given curve is revolved about the x-axis over the interval [9, 20] is 864π.
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if a feather is dropped from the top of a bridge 75 feet above a river, how long does it take the feather to reach the water? your answer is seconds.
The answer can be solved by using the kinematic equation, S= ut+at²/2. Here the time taken by the feather to fall from 75 feet will be 2.16 s.
Here a feather is dropped from a height of 75 ft. All other units are in SI system. So we have to convert the height to meters.
75 ft = 75/ 3.281 = 22.86 m.
We are neglecting the frictional force, or any other force acting on the feather. If the feather is under free fall, we can use the kinematic equation,
S = ut + at²/2
S is the displacement, here the height = 22.86 m
u is the initial velocity, which is 0
t is the time
a is acceleration, here a= g, acceleration due to gravity = 9.8 m/s².
S = 0×t + 9.8t²/2
22.86 = 4.9t²
t² = 22.86/4.9
= 4.665
t = √4.665 = 2.159 s = 2.16 s
So the time taken for the feather to reach water will be 2.16 s.
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a square mile can be thought of as a square that is 1 mile long on each side, or 5,280 feet on each side. united states dollar bills are 6.14 inches long. how many dollar bills laid end to end would it take to enclose a square mile?
It would take 33,792,000 dollar bills laid end to end to enclose a square mile.
To calculate this, we use the formula for the perimeter of a square: P = 4s, where P is the perimeter and s is the length of one side. Since the length of one side of a square mile is 5,280 feet, we can calculate the perimeter of a square mile in feet: P = 4(5280 ft) = 21,120 ft. Since one dollar bill is 6.14 inches long, we can convert this to feet by dividing by 12 (1 ft = 12 inches): 21,120 ft / 12 inches/ft = 1,760 ft. Finally, we can calculate the number of dollar bills needed by dividing the perimeter in feet by the length of the dollar bill in feet: 1,760 ft / 0.514 ft = 33,792,000 dollar bills.
It would take 33,792,000 dollar bills laid end to end to enclose a square mile.
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solve the proportion 5x/3 = 80/12
Answer:
x=4
Step-by-step explanation:
pls tell me if wrong have a good day/night<3
what must be the probability that a randomly chosen young adult has some education beyond high school but does not have a bachelor's degree? why?
Probability: P(education beyond high school but not a bachelor's degree) = (number of young adults with education beyond high school but not a bachelor's degree) / (total number of young adults).
The probability that a randomly chosen young adult has some education beyond high school but not a bachelor's degree would be:
P(education beyond high school but not a bachelor's degree) = (number of young adults with education beyond high school but not a bachelor's degree) / (total number of young adults)
where "number of young adults with education beyond high school but not a bachelor's degree" refers to the count of individuals in the population who meet this criteria, and "total number of young adults" refers to the count of all individuals in the population who are considered young adults.
The formula calculates the probability of a certain event by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, the event is a randomly chosen young adult having some education beyond high school but not a bachelor's degree. The numerator, "number of young adults with education beyond high school but not a bachelor's degree," represents the favorable outcomes, while the denominator, "total number of young adults," represents all possible outcomes.
By dividing the favorable outcomes by the total number of possible outcomes, we get the probability of the event occurring, which is a value between 0 and 1. The closer the value is to 1, the higher the probability that the event will occur. The closer the value is to 0, the lower the probability that the event will occur. This formula allows us to quantify the likelihood of an event occurring in a population based on the available data.
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a number cube is rolled 24 times and lands on 6 three times. find the experimental probability of not landing on a 6. express your answer as a fraction in simplest form.
If a cube is rolled 24 times and lands on 2 four times and on 6 three times , then the experimental probability of not landing on a "6" is 0.171 .
on a cube there are total 6 outcomes ,
the probability of getting "2" on a single cube is = P(2) = 1/6 ;
the probability of getting "6" on a single cube is = P(6) = 1/6 ;
the probability of the cube not landing on 6 is = P'(6) = 5/6 ;
Since the cube is rolled 24 times , the experimental probability of not landing on "6" is
⇒ P(not 6) = ²⁴C₅×(1/6)⁵×(5/6)¹⁹ ;
On simplifying ,
we get ;
⇒ P(not 6) = 0.171 .
Therefore , the experimental probability of not landing on a 6 is 0.171 .
The given question is incomplete , the complete question is
A number cube is rolled 24 times and lands on 2 four times and on 6 three time. Find the experimental probability of not landing on a 6 .
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our indiscrete mathematics course has 18 students from the the college of liberal arts and social sciences, 11 of whom are seniors; 19 students from the the college of education, 6 of whom are seniors; 27 students from the the college of science and health, 14 of whom are seniors. how many ways can we choose a single class rep?
There are 64 ways to choose a single class representative.
To find the total number of ways to choose a single class representative, we add the number of students in each college: 18 students from the College of Liberal Arts and Social Sciences, 19 students from the College of Education, and 27 students from the College of Science and Health.
This gives us a total of 18 + 19 + 27 = 64 students. To choose a single class representative, we can choose any one of these 64 students, so there are 64 ways to choose a single class representative.
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Write as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats
please write it out in long form. Thank you
25/6
The decimal with the bar is 4.1[tex]\over6[/tex].
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
25/6
= 4.16666666
6 is the repeating number so we put the bar on 6.
= 4.1[tex]\over6[/tex]
Thus,
The decimal is 4.1[tex]\over6[/tex].
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Match the sentences below to the correct vocabulary word.
1. If x is not a rational number, it must be a(n) _______.
2. 0.7 is a
3. x is a terminating decimal, so it must also be a
4. A decimal that ends in zero is a
irrational number
rational number
repeating decimal
terminating decimal.
The required match of the sentence to the correct vocabulary has been shown below.
What is a rational number?In mathematics, a rational number is a number that can be described as the result of a fraction of value or does not have face value.
Here,
1. If x is not a rational number, it must be a(n) irrational number.
2. 0.7 is a rational number.
3. x is a terminating decimal, so it must also be a rational number.
4. A decimal that ends in zero is a terminating decimal.
Learn more about rational numbers here:
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Kyle is walking away from his house at a rate of 3 km/hr in the positive direction. After ten minutes, he turns around and walks home at 3 km/hr. In these two motion scenarios,
which statement best describes the difference between in his velocity vectors?
Answer:
Hi
Kyle's velocity vectors have opposite directions.
Step-by-step explanation:
When Kyle is walking away from his house, his velocity vector is pointing in the positive direction, representing the movement of his position in a specific direction. But after ten minutes, when he turns around and walks home, his velocity vector changes direction to point in the opposite direction, now representing his movement towards his house. The difference between the two velocity vectors is that they are in opposite directions.