The in the canoe race, Dallas paddles faster than Mason.
According to the statement
We have to find that the Speed of the .
So, For this purpose, we know that the
The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered.
From the given information:
Mason and Dallas are in a canoe race. Mason paddles 7/8 mile in 1/4. Dallas paddles 9/5 miles in 1/3 hour.
Then
The Mason paddles 7/8 mile in 1/4 hour.
We calculate the Speed = Distance/Time
Speed = (7/8)/(1/4)
Speed = (7/8) × (4/1)
Speed = 7/2
Speed = 3.5 miles per hour
And Dallas paddles 9/5 miles in 1/3 hour.
Speed = Distance/Time
Speed = (9/5)/(1/3)
Speed = (9/5) × (3/1)
Speed = 27/5
Speed = 5.4 miles per hour.
So, The in the canoe race, Dallas paddles faster than Mason.
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Answer:
5 2/5 is GREATER THAN 3 1/2, so DALLAS paddles faster.
which is an algebraic expresson for 5 more than z
Answer:
z+5
Step-by-step explanation:
the word more indicates addition
Duration (amount of time) is what type of data in the scenario? A study was done to determine the age, the number of times per week, and the duration (amount of time) of residents using a local gym in San Antonio, Texas. The first car in the parking lot was selected randomly, and then the resident of every eighth car in the lot around the gym was interviewed.
The sampling method used to get the sample is Systematic sampling.
The variable type of color of cars around the gym is qualitative.
Sampling is the process of choosing a subset of people (a statistical sample) from a statistical population in order to estimate characteristics of the entire population. It is used in statistics, quality control, and survey technique. Statisticians try to get samples that are typical of the population under consideration.
The different sampling methods used are:
Simple random sampling: Every member of the population has an equal probability of getting chosen.Systematic sampling : Members are chosen after a fixed interval every time.Stratified sampling: The entire population is divided into sub populations and then the sample is chosen from each sub population. Cluster sampling: The population is also divided into smaller groups for cluster sampling, although each smaller group should share traits with the larger sample. You choose complete subgroups at random rather than picking a representative sample of each subgroup.Now the given sample of the residents that were selected was every eighth car . Hence Systematic sampling is used.
Disclaimer: Missing question stem: Identify the sampling method(simple , stratified, cluster, systemic).
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14. Kristin is using paper for an art project that
is 0.025 mm thick. If she glues a layer of the
paper onto a construction board with a
thickness of 7 x 10-2 mm, what will the total
thickness of the paper and the construction
board be? Write your answer in scientific
notation.
The thickness of the paper and the construction board will be 9.5 x [tex]10^{-2}[/tex] mm.
What will the thickness be?The thickness of the paper is written in standard form while the thickness of the construction board is written in scientific notation.
Scientific notation is used to compress large numbers into smaller number. In order to write a digit that is less than zero in scientific notation, count the numbers after the decimal point to the first non-zero digit, the numbers counted would be the power of the notation. he power would have a negative number.
Thus, 0.025 becomes 2.5 x [tex]10^{-2}[/tex]
(2.5 x [tex]10^{-2}[/tex]) + (7 x [tex]10^{-2}[/tex]) = 9.5 x [tex]10^{-2}[/tex] mm
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Triangle xyz x’y’z’ What scale factor was used in dialation xz=4 x’z’=5
The scale factor used to dilate triangle XYZ so as to form X'Y'Z' is a scale factor of 5/4.
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, rotation, translation and dilation.
Triangle X'Y'Z' is the image of triangle XYZ after a dilation by a scale factor.
Given that XZ = 4; X'Z' = 5
Hence:
Scale factor = X'Z'/XZ = 5/4
The scale factor used to dilate triangle XYZ so as to form X'Y'Z' is a scale factor of 5/4.
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Shep Company’s records show the following information for the current year:
Beginning of year End of year
Total assets $ 53,200 $ 84,000
Total liabilities $ 23,600 $ 36,600
Determine net income (loss) for each of the following separate situations. (For all requirements, losses should be entered with a minus sign.)
a. Additional common stock of $4,600 was issued, and dividends of $8,600 were paid during the current year.
b. Additional common stock of $15,400 was issued, and no dividends were paid during the current year.
c. No additional common stock was issued, and dividends of $13,600 were paid during the current year.
.
The determination of the net income for each of the following separate situations is as follows:
Situation A Situation B Situation C
Net income $21,800 $2,400 $31,400
How is the net income determined?The formula for determining the net income (loss) for the year is:
Net Income (loss) = Ending Equity - Beginning Equity - Additional stock + Dividend Paid).
Data and Calculations:Beginning of year End of year
Total assets $ 53,200 $ 84,000
Total liabilities $ 23,600 $ 36,600
Situation A:
Common Stock issued = $4,600
Dividend paid = $8,600
Situation A:Beginning of year End of year
Total assets $ 53,200 $ 84,000
Total liabilities $ 23,600 $ 36,600
Equity $29,600 $47,400
Common Stock issued 4,600
Dividend paid (8,600)
Net Income = Ending Equity - Beginning Equity - Additional stock + Dividend Paid)
$21,800 ($47,400 - $29,600 - 4,600 + 8,600)
Situation B:Common Stock issued = $15,400
Beginning of year End of year
Total assets $ 53,200 $ 84,000
Total liabilities $ 23,600 $ 36,600
Equity $29,600 $47,400
Common Stock issued 15,400
Dividend paid
Net Income = Ending Equity - Beginning Equity - Additional stock + Dividend Paid)
$2,400 ($47,400 - $29,600 - 15,400)
Situation C:Dividends paid = $13,600
Beginning of year End of year
Total assets $ 53,200 $ 84,000
Total liabilities $ 23,600 $ 36,600
Equity $29,600 $47,400
Common Stock issued
Dividend paid $13,600
Net Income = Ending Equity - Beginning Equity - Additional stock + Dividend Paid)
$31,400 ($47,400 - $29,600 + 13,600)
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Lisa wants to buy some new shirts at her favorite store. Each shirt costs $15 and she wants to buy a pair of shoes that are $35. Lisa only has $137 to spend.
Let S represent the number of shirts that Lisa buys.
Which inequality describes this scenario?
(A) 137> 15s +35
(B) 137< 15s +35
(C) 137≥ 15s +35
(D) 137≤ 15s +35
Considering the definition of an inequality, the correct answer is option (C): the inequality 15×S + 35≤ 137 describes the scenario.
Definition of inequalityAn inequality is the existing inequality between two algebraic expressions, connected through the signs:
greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.An inequality contains one or more unknown values called unknowns.
Solving an inequality consists of finding all the values of the unknown for which the inequality relation holds.
Inequality in this caseIn this case, you know that
Each shirt costs $15.Lisa wants to buy a pair of shoes that are $35.Lisa only has $137 to spend.Being "S" the number of shirts that Lisa buys, the inequality that expresses the previous relationship is
15×S + 35≤ 137
Finally, the correct answer is option (C): the inequality 15×S + 35≤ 137 describes the scenario.
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Ryan downloaded a video game to his computer. The size of the file was 3.1 times 10E4 kilobytes. After the game, Ryan installed a patch that is 40000 kilobytes. What is the size of the game file written in standard form?
The size of the game file written in standard form is 350000 kilobytes
What is the size of the game file written in standard form?The given parameters are:
Size of the file = 3.1 x 10E4 kilobytes
Patch = 40000 kilobytes
The size of the game file written in standard form is then calculated as
Size = Size of the file + Patch
This gives
Size = 3.1 x 10E4 kilobytes + 40000 kilobytes
Rewrite as
Size = 310000 kilobytes + 40000 kilobytes
Evaluate the sum
Size = 350000 kilobytes
Hence, the size of the game file written in standard form is 350000 kilobytes
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Let X be the number of students who show up for a professor's office hour on a particular day, pmf of X is p(0) = 0.10, p(1) = 0.20, p(2) = 0.25, p(3) = 0.30 and p(4) = 0.15, what is the probability at least 2 students show up? I tried doing P(p(1) u p(2)) = P(p(1)) + P(p(2)) - (P(p(1) n p(2))) what would be the correct formula?
The probability of at least 2 students showing up is .70 or 70%
Let X be the number of students who show up for a professor's office hour on a particular day, probability of X is p(0) = 0.10, p(1) = 0.20, p(2) = 0.25, p(3) = 0.30 and p(4) = 0.15
If we add the probability of 1 student showing up, 2 students to show up, 3 students to show up, and 4 students showing up
We get 0.10+ 0.20+ 0.25+ 0.15 =1
As the sum of these individual 4 possibilities is 1 that means these are the only possibilities to exit
Now we need to find out the probability of at least 2 students showing up which means the probability of two or more students showing up
Which can be written as
p(≥2) = p(2) + p(3) + p(4)
p(≥ 2) = 0.25+0.30+0.15
p(≥2) = 0.70
Hence, the probability of at least 2 students showing up is .70 or 70%
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Evaluate.
18-2³ 0
I don’t understand it and I need help
How many digits long could the repeating cycle of a repeating decimal be if the denominator of the rational number is 7?
A up to seven digits long
B up to six digits long
C any finite length
D infinitely long
Answer: a
Step-by-step explanation:
Every six powers of ten, the cycle repeats. In other words, a repeating decimal with a denominator of 7 can have a repeating cycle that is up to six digits long.
The repeating cycle of a repeating decimal for the rational number with a denominator of 7 can be determined by considering the factors of the denominator.
In this case, the denominator is 7, which is a prime number. The length of the repeating cycle can be determined by examining the powers of 10 modulo 7.
To find the length of the repeating cycle, we need to find the smallest positive integer "n" for which 10ⁿ - 1 is divisible by 7. In other words, we are looking for the smallest "n" such that 10ⁿ ≡ 1 (mod 7).
Let's calculate the powers of 10 modulo 7:
10¹ ≡ 3 (mod 7)
10² ≡ 2 (mod 7)
10³ ≡ 6 (mod 7)
10⁴ ≡ 4 (mod 7)
10⁵ ≡ 5 (mod 7)
10⁶ ≡ 1 (mod 7)
As you can see, the cycle repeats every 6 powers of 10. This means that the repeating cycle of a repeating decimal with a denominator of 7 can be up to six digits long.
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A bag contains 10 red, 5 yellow, and 6 blue marbles. What is the probability of pulling out one blue marble and then one red marble without replacing the first blue marble?
The probability of pulling out one blue marble and then one red marble without replacing the first blue marble is 1/7
How to determine the probability?The given parameters are
Red = 10
Yellow = 5
Blue = 6
The probability of pulling out one blue marble and then one red marble without replacing the first blue marble is
P = P(Blue) * P(Red Having selected Blue)
So, we have
P = 6/21 * 10/20
Evaluate
P = 1/7
Hence, the probability of pulling out one blue marble and then one red marble without replacing the first blue marble is 1/7
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PLEASE HELP<33333
(A): describe in words a sequence of transformation that maps ABC to A”B”C (hint, there are two different transformations.
(B): Write an ordered pair rule for each transformation in the sequences.
one negative two and then shifted to the rights, that's the translation to the right two units.
What is the sequence of transformation?
A certain order of transformational occurrences is referred to as a transformational sequence. This indicates that more than one transformation is handled by a series of transformations, and the order in which they happen is important.its a 180 Degree Rotation.
And let's see With a 180 degree rotation.
, we can say coordinates is that X. Y. Two negative X. Negative Y.
It goes to one negative two and he goes to two negative five And c goes to 5 -2.
So if one negative two and then shifted to the rights, that's the translation to the right two units.
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2.75 divided by (2.2)
Answer:
1.25
Step-by-step explanation:
=2.75/2.2
=1.25
it is answer .it think answer give some help
A student wants to find out if LMC students prefer eating out or eating in
the cafeteria. She talks to 25 of her friends in the Transfer Academy and
finds that they prefer eating in the cafeteria. She then concludes that LMC
students prefer eating in the cafeteria.
What is the intended population?
What is the actual population?
What is the sample?
The intended population based on the information given is LMC students.
The actual population based on the information illustrated is Transfer Academy.
The sample is the 25 friends that the student talked to.
How to illustrate the information?Using the data, the student decides to interview 25 of her acquaintances from the Transfer Academy to learn whether LMC students prefer eating in or eating outside of the cafeteria.
According to the data shown, Transfer Academy is the actual population in this circumstance. It is important to remember that the sample represents the population.
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Convert 3.5% to a decimal.
Question 2 options:
0.0035
0.35
0.035
3.5
Answer:
0.035
Step-by-step explanation:
hope this helps :)
Consider the statements in the table shown. Select True or False for
each statement about the sequences of transformations that can
verify that triangle ABC is congruent to triangle A'B'C'.
The sequences of transformations can verify that triangle ABC is congruent to triangle A'B'C'. which is the correct answer would be (D)
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
Triangle ABC has translated 12 units to the right, followed by a reflection across the x-axis. Which is a true statement
Triangle ABC is reflected across the y-axis, followed by a translation 12 units down. Which is a false statement
Triangle ABC is reflected across the x-axis, followed by a translation of 12 units to the right. Which is a true statement
Therefore, the sequences of transformations can verify that triangle ABC is congruent to triangle A'B'C'.
Hence, the correct answer would be (D)
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help please i need help
Answer:
100
Step-by-step explanation:
first let's convert 240 mins to hours
240/60 = 4
now let's find approximately how many pages per hour
200/4 = 50
so, in one hour she approximately read 50 pages
let's say she reads 25 pages per hour
25(4)= 100
How are translations along the vectors ⟨a,b⟩ and ⟨-a,-b⟩ similar and how are they different ?
The similarity of two vectors ⟨a,b⟩, and ⟨-a,-b⟩ is that they can both be placed on the same graph; the difference is that they belong to different quadrants.
What are vectors?A vector is a two-dimensional object with a magnitude and a direction. A vector can be visualized geometrically as a directed line segment with an arrow indicating the direction and a length equal to the magnitude of the vector. The vector's direction is from its tail to its head.So, the similarity between two vectors ⟨a,b⟩, and ⟨-a,-b⟩ is that they can be placed on the same graph and the difference between the two is that they belong to different quadrants.
⟨a,b⟩ belongs to the 1st quadrant, and ⟨-a,-b⟩ belongs to the 3rd quadrant.Therefore, the similarity of two vectors ⟨a,b⟩, and ⟨-a,-b⟩ is that they can both be placed on the same graph; the difference is that they belong to different quadrants.
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An isolated agricultural country has two distinct regions: a lowland plain and an upland of rugged hills. On one unit of land on the PLAIN, a farmer can raise 10 bushels of grain or graze 10 sheep. On one unit of land in the HILLS, a farmer can raise 2 bushels of grain or graze 4 sheep.
Determine which region has the absolute advantage for sheep production. Explain your answer.
Because food grows more quickly in the hills when exposed to heat and rain rather than sunlight all day. Then for 1 sheep 1 bushel is required in the hills.
What are statistics?
The practice or science of organizing and interpreting numerical data in big quantities, particularly for the objective of concluding proportions in a whole from those in an expected sample.
Given that a remote agricultural nation is divided into two distinct geographic areas: a lowland plain and an upland of rough hills. A farmer can grow 10 bushels of grain or pasture 10 sheep on one unit of land on the plain. A farmer in the hills can pasture 4 sheep or grow 2 bushels of grain on one unit of land.
As opposed to being exposed to sunlight all day, food develops more quickly in the hills when it is exposed to heat and rain.
For uphill = 10 sheep = 10 bushels
For uphill = 1 sheep = 1 bushels
For down plain = 4 sheep = 2 bushels
For down plain = 1 sheep = (1 / 2 ) bushels
Therefore, then for 1 sheep 1 bushel is required in the hills.
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Which of the following values is greater than −2.5?
Answer:
-2,-1.5,-1,-0.5 etc
Step-by-step explanation:
The smaller the negative value the greater the value compared to other negative value carrying a negative sign.
What are the common factors of 70 and 110
Answer:
Do you mean GCF? If so, it is 10.
If you mean factors that they have in common it is: 1,2,5 and 10.
Step-by-step explanation:
Factors of 70: 1,2,5,7,10,14,35,70
Factors of 110: 1,2,5,10,11,22,55,110
GCF is 10
Answer:
10
Step-by-step explanation:
Sam and Bethan share £54 in the ratio 5:4 how much does each person get
Answer:add 5 and 4, you get 9. divide 54 by 9, and you get 6. this is because for every 5 sam gets bethan will get 4. if you add, that, you will get the total amount for 1 share.
Step-by-step explanation:
Answer:
Sam gets £30
Bethan gets £24
Step-by-step explanation:
Since they split the money in a ratio of 5:4, that means for every 5 parts of the money that Sam gets, Bethan gets 4 parts. The total of 5 parts and 4 parts is 9 parts.
To find how much each part is, we divide £54 by 9.
£54/9 = £6
Each part is £6.
Sam gets 5 parts: 5 × £6 = £30
Bethan gets 4 parts: 4 × £6 = £24
Find the cost of 12¼ m of cloth, if 1 m of cloth costs rupees 17⅓
The cost of 12¼ m of cloth is 212.3 rupees.
What is Ratio?A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other
We have been given that 1 m of cloth costs rupees 17⅓.
We have to determine the cost of 12¼ m of cloth.
Let the cost of 12¼ m of cloth would be x rupees
We can write this as a ratio as
1 m : rupees 17⅓ = 12¼ m : x rupees
[17⅓ = 52/3 = 17.3 and 12¼ = 49/4 = 12.25]
1 m : 17.3 rupees = 12.25 m : x rupees
⇒ 1 /17.3 = 12.25 /x
⇒ (1)(x) = (12.25 )×(17.3)
⇒ x = 212.3
Therefore, the cost of 12¼ m of cloth is 212.3 rupees.
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The sum of the squares of three consecutive positive integers is 2030. What is the middle integers?
The value of the middle integer is 26
Solving Linear equationsFrom the question, we are to determine the middle integer
From the given information,
"The sum of the squares of three consecutive positive integers is 2030"
Let the first integer be x,
Then the middle integer will be x + 1
and the third integer will be x + 2
Thus,
x² + (x +1)² + (x +2)² = 2030
x² + x² + 2x + 1 + x² + 4x + 4 = 2030
3x² + 6x + 5 = 2030
3x² + 6x + 5 - 2030 = 0
3x² + 6x - 2025 = 0
x² + 2x - 675= 0
Solve quadratically
x² + 27x - 25x - 675 = 0
x(x + 27) -25(x + 27) = 0
(x - 25)(x + 27) = 0
x - 25 = 0 and x + 27 = 0
x = 25 and x = -27
Since x is a positive integer,
x = 25
Thus,
The middle integer,
x + 1
= 25 + 1
= 26
Hence, the value of the middle integer is 26
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given then functions: f(x)=4x+9 and g(x)=7x-5
Part 1
[tex](f+g)(x)=f(x)+g(x) \\ \\ =4x+9+7x-5 \\ \\ =11x+4[/tex]
Part 2
[tex](f-g)(x)=f(x)-g(x) \\ \\ =(4x+9)-(7x-5) \\ \\ =4x+9-7x+5 \\ \\ =-3x+14[/tex]
Part 3
[tex](f \cdot g)(x)=f(x) \cdot g(x) \\ \\ =(4x+9)(7x-5) \\ \\ =28x^2-20x+63x-45 \\ \\ =28x^2+43x-45[/tex]
Part 4
[tex]\left(\frac{f}{g} \right)(x)=\frac{f(x)}{g(x)} \\ \\ =\frac{4x+9}{7x-5}[/tex]
how are decimal .009 and .09 related
Answer-
-They are related because they are numbers that are less than 1 that can be converted into a fraction.
-They also both contain the number nine.
-They are not repeating decimals.
-They are positive numbers.
Those are just a few examples of how they are related. I hope this helps, good luck!
The length of a rectangular pool is three times its width. If the perimeter of the pool is one hundred and sixty meters, find the length and width of the pool.
Answer:
w = 20m
l = 60m
Step-by-step explanation:
P = 2l + 2w
We know the perimeter = 160 and we know that l = 3w, so write what we know and solve for w.
P = 2l x 2w
160 = 2(3w) + 2w
160 = 6w + 2w
160 = 8w
Divide both sides by 8
20 = w
Now we can figure out the length, which is 3(w) or 3 x 20 = 60
Answer:
w = 20m, l = 60m
Step-by-step explanation:
7+1/X (1/x) multiply
The value of the linear equation after multiplying is 8/xX.
According to the statement
We have to find that the value of the statement.
So, For this purpose, we know that the
The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.
From the given information:
The equation is a:
7+1/X (1/x)
Here we know that the X and x are the different variables.
Then
7+1/X (1/x)
Now add the terms which are possible then
8/X (1/x)
Now, multiply the terms which are possible to multiply
Then the equation become
8/xX.
So, The value of the linear equation after multiplying is 8/xX.
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The probability density of a random variable X is given in the figure below. The random variable is uniformly distributed between 0 and 2. From this density, find the probability that X is at least 0.48.
The probability that X is at least 0.48 given the information about the density of a random variable X is 0.76.
How to calculate the probability?Given that x is uniformly distributed between 0 and 2.
Therefore, the probability density function:
f(x)= 1 / (b-a) = 1 / (2-0)
= 0.5
This will be illustrated as:
P(X<=x)=(x-a)/(b-a)=(x-0)/(2-0)=x/2
Now, we have to find:
P(x >= 0.48)
= 1 - P(x<=1.68)
= 1-(0.48 / 2)
= 1 -0.24
= 0.76
Therefore, the probability that X is at least 0.48 given the information about the density of a random variable X is 0.76.
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Assume the cards are drawn sequentially and without replacement. In how many ways can 5 spades be drawn from a standard deck of 52 cards?
The number of ways 5 spades can be drawn from a standard deck of 52 cards without replacement = 154440
In this question we have been given a standard deck of 52 cards.
We need to find the number of ways 5 spades can be drawn from a standard deck of 52 cards without replacement.
We use the permutation formula.
We know that the number of ways to choose r elements from a set of n distinct objects where order does matter and replacements are not allowed.
^n(P_r) = n! / (n - r)!
We know that, in a standard deck of 52 cards, there are 13 spade cards.
So, n = 13
5 spades to be drawn
So, r = 5
Using the formula of permutation,
^13(P_5)
= 13! / (13 - 5)!
= 154440
Therefore, the number of ways 5 spades can be drawn from a standard deck of 52 cards without replacement = 154440
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