NEED HELP ASAP
A rectangle is labeled truck. A vector that goes down and to the right is labeled 7,500 pounds and the terminal point is labeled tow truck 2. A vector that goes up and to the right is labeled 10,000 pounds and the terminal point is labeled tow truck 1. The angle between the vectors is 110 degrees. The angle between tow truck 2 and the x-axis is 60 degrees.
A pair of tow trucks are pulling on a trailer that is stuck in mud. The first truck pulls with a force of 10,000 pounds at a 110° angle from the second truck, which is pulling with a force of 7,500 pounds. What is the magnitude of the resultant force?
9,821 pounds
10,244 pounds
14,405 pounds
24,226 pounds
Answers
Answer:
10,244 pounds
Step-by-step explanation:
|R|= √(7,500+10,000cos110)²+(10,000sin110)²
|R|= about 10,244 pounds
thats how i did it :I
Answer:
B
Step-by-step explanation:
Edge 2021
Related Questions
Q? Quartiles- Consider a sample of ages of 100 executives.
Answers
The interquartile range is 21.
Quartiles describe the division of given observations into four intervals. each section represents 25 % of the observation. The interquartile range is a measure of variability around the median and it is calculated using Quartiles.
1. We will arrange the data in increasing or decreasing order.
2. We will divide the given data into two halves.
3. Find the median of both halves(bottom half and top half).
4. Find the interquartile range.
Now, performing these steps on the data given.
Data: 11 28 5 50 30 27 21 24 52 42
Step 1: Arranging in increasing order, we get
05 11 21 24 27 28 30 42 50 52
Step 2: Dividing into two halves.
Bottom half: 05 11 21 24 27
Top half: 28 30 42 50 52
Step 3: Find the median of both halves.
Median of the bottom half(Q1) = 21
Median of the top half(Q3) = 42
Step 4: Find the interquartile range
Range = Q3 - Q1 = 42-21
= 21
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The complete question is -
"Consider a sample of ages of 10 executives -
11 28 5 50 30 27 21 24 52 42. Find interquartile range."
A board that is 4 and 1/2 feet long weighs 7 and 1/5 pounds. How much would one foot of the board weigh?
Answers
Answer:
board that is 4 1/2 feet long weighs 7 1/5 pounds. How much would ...
5 days ago — A board that is 4 1/2 feet long weighs 7 1/5 pounds. How much would one foot of the board. weigh? Write your answer as a mixed number,.
Step-by-step explanation:
board that is 4 1/2 feet long weighs 7 1/5 pounds. How much would ...
5 days ago — A board that is 4 1/2 feet long weighs 7 1/5 pounds. How much would one foot of the board. weigh? Write your answer as a mixed number,.
What does this symbol does algebra give as the value of?…….
Answers
The Solution:
Given:
\(\sqrt{-1}\)Required:
Find the value of the given expression.
The value is:
\(\sqrt{-1}=i\text{ \lparen complex number\rparen}\)Answer:
[option 4]
The sears tower in chicago is 443 m tall. Joe wants to set the world’s stair climbing record and runs all the way to the roof of the tower. If joe’s average upward speed is 0. 60 m/s, how long will it take joe to climb from street level to the roof of the sears tower?.
Answers
It will take Joe 738.3 seconds (12.3 minutes) to climb from street level to the roof of the sears tower.
What is speed?The definition of speed is the rate at which an object's position changes in any direction. Speed is defined as the ratio of distance traveled to time spent traveling. Because it has only one direction and no magnitude, speed is a scalar quantity. Speed is a measure of how quickly something moves or is done, or how fast something moves. A car traveling at 45 miles per hour is an example of speed. Someone cleaning a room in 10 minutes is an example of speed. A jaguar's speed is an example of speed.To find how long will it take joe to climb from street level to the roof of the sears tower:
If Joe moves at 0.6 m/s in the vertical direction, the total distance he must cover is 443 meters in the vertical direction. The formula for average speed is now:Average speed = total distance / total timeTotal time = total distance / average speedTotal time = 443/0.6Total time = 738.3 secondsTherefore, it will take Joe 738.3 seconds (12.3 minutes) to climb from street level to the roof of the sears tower.
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50 POINTS HELP PLEASE MATH BE RIGHT
A box without a top is to be made to hold copious bags of candy. It is made
from a rectangular piece of cardboard, with dimensions: width choose a number
between 1.5 ft and 3.5 ft _______ and length choose a number between 4 ft and 6ft
_______, by cutting out square corners with side length
x
and folding up the sides.Unit 7 Test, Part 2:
Modeling with Geometry
Total score: 15 points
Answer the following questions, showing all of your work. Submit your work to the
assignment box.
NOTICE how the points are broken down above each problem.
This lets you know what information is mandatory to give me in your answer.
(5 total points - 1 point correct equation for volume, 1 point correct value for x; 1
point explanation for finding x; 2 points explanation of what x- and y- coordinates
represent)
1)
A box without a top is to be made to hold copious bags of candy. It is made
from a rectangular piece of cardboard, with dimensions: width choose a number
between 1.5 ft and 3.5 ft _______ and length choose a number between 4 ft and 6ft
_______, by cutting out square corners with side length
x
and folding up the sides.
(a)
Write an equation for the volume
V
of the box in terms of
x
.
(b)
Use Desmos to graph and estimate the value of
x
,
to the nearest tenth
, that
gives the greatest volume. Explain your process. Post a snapshot of your graph
with your work.
(c)
Explain what the x- and y-coordinates represent in your eqution
Answers
Let the length of the side of the square being cut out equal x
The length of the box would be 4.5 - 2x
The width of the box would be 3 -2x
Volume = (4.5 -2x) * (3-2x) * x
Simplify to:
V = 4x^3 - 15x^2 + 13.5x
B See picture: The greatest volume would be the point of the highest curve.
x = 0.589 y = 3.565, Rounded to the nearest tenth x = 0.6
Process: entered the equation from A into Desmos. The Y value would be the volume, so found where the volume was the highest and then found the related x value.
C) X is the side length of the corner squares being cut out, which would also be the height of the box. The Y value is the volume of the box.
Consider the tennis balls shown in the accompanying figure. Assume that one tennis ball is randomly selected. Determine the probability that the ball selected shows an odd number, given that the ball is yellow 3 ( 4 ) 5 6 orange orange orange yellow yellow green
Answers
To determine the probability that the ball selected shows an odd number, given that the ball is yellow, we need to consider the number of favorable outcomes (yellow balls showing odd numbers) and the total number of possible outcomes (yellow balls).
From the given information, we can identify two favorable outcomes: the yellow balls numbered 3 and 5.
Therefore, the probability that the ball selected shows an odd number, given that the ball is yellow, is:
Probability = (Number of favorable outcomes) / (Number of total outcomes)
= 2 / 3
= 2/3 ≈ 0.6667
Probability that the ball selected shows an odd number, given that the ball is yellow, is approximately 0.6667 or 66.67%.
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A burrito restaurant used the given table to keep track of the numbers of different types of burritos that were sold and the kinds of beans that people requested. consider the following events: a. the burrito is a chicken burrito. b. the burrito is a carne asada burrito. c. the customer requested black beans. d. the customer requested pinto beans. a 6-column table has 4 rows. the first column has entries black beans, pinto beans, no beans, total. the second column is labeled fish with entries 2, 10, 36, 48. the third column is labeled carne asada with entries 5, 24, 51, 80. the fourth column is labeled vegetarian with entries 1, 8, 20, 29. the fifth column is labeled total with entries 45, 72, 123, 240. which two events are independent? a and c a and d b and c b and d
Answers
The two events which are independent are the carne-asada burrito (B) and the customer requested pinto beans (D).
What is the independent events?Independent events are those events whose occurrences do not depend on the other events.
A burrito restaurant used the given table to keep track of the numbers of different types of burritos that were sold and the kinds of beans that people requested.
Consider the following events:
A. The burrito is a chicken burrito.B. The burrito is a carne asada burrito. C. The customer requested black beans. D. The customer requested pinto beans.The probability of event A is,
\(P(A)=\dfrac{83}{240}\)
The probability of event B is,
\(P(B)=\dfrac{80}{240}=\dfrac{1}{3}\)
The probability of event C is,
\(P(C)=\dfrac{45}{240}=\dfrac{3}{16}\)
The probability of event D is,
\(P(A)=\dfrac{72}{240}=\dfrac{3}{10}\)
If the probability of an event is calculated given that the other is happened, only the probability of event B and D we get such that,
\(P(B\cap D)=P(B).P(D)\\\dfrac{24}{240}=\dfrac{1}{3}\times \dfrac{3}{10}\\\dfrac{1}{10}=\dfrac{1}{10}\)
Thus, the two events which are independent are the carne-asada burrito (B) and the customer requested pinto beans (D).
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Answer: D
Step-by-step explanation:
Scores at a local high school on the Algebra 1 Midterm are extremely skewed left with a mean of 65 and a standard deviation of 8. A guidance counselor takes a random sample of 10 students and calculates the mean score, x¯¯¯.
(a) Calculate the mean and standard deviation of the sampling distribution of x¯¯¯
(b) Would it be appropriate to use a normal distribution to model the sampling distribution? Justify your answer
Answers
The standard deviation of the sampling distribution is 2.53. It would not be appropriate to use a normal distribution to model the sampling distribution.
(a) When dealing with a sampling distribution, the mean of the sampling distribution (μ_x) is equal to the mean of the population (μ). In this case, the mean of the population is 65. Therefore, the mean of the sampling distribution is also 65.
To calculate the standard deviation of the sampling distribution (σ_x), you will use the following formula: σ_x = σ / √n, where σ is the standard deviation of the population and n is the sample size. In this case, the standard deviation of the population is 8 and the sample size is 10. So the standard deviation of the sampling distribution is:
σ_x = 8 / √10 ≈ 2.53
(b) The Central Limit Theorem states that the sampling distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution, provided that the population is not heavily skewed or has extreme outliers. Since the scores are extremely skewed left and the sample size is only 10, it would not be appropriate to use a normal distribution to model the sampling distribution. A larger sample size would be needed to use a normal distribution model.
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To show that the point (3/5, 4/5) is on the unit circle, we need to prove that (3/5)^2 + (4/5)^2 =. The distance between (2, -5) and (-7, -5) is The midpoint of the line segment that joins the given points is given by: (, ).
Answers
(a) To show that the point (3/5, 4/5) is on the unit circle, we need to prove that (3/5)² + (4/5)² = 1 .
(b) The distance between points (2,-5) and (-7,-5) is 9 units .
(c) The midpoint of the line segment that joins the given points is given by: (-5/2,-5) .
In the question ,
it is given that ,
the points given is (3/5 , 4/5)
(a) To show that the point (3/5, 4/5) is on the unit circle, we need to prove that (3/5)^2 + (4/5)^2 = 1
that is
9/25 + 16/25 = 1
25/25 = 1
1 = 1
hence proved that the point (3/5, 4/5) is on the unit circle .
(b) The distance between (2, -5) and (-7, -5) is calculated using the formula
\(=\)√(x₂ - x₁)² \(+\) (y₂ - y₁)²
= √(-7 - 2)² + (-5 -(-5))²
= √(-9)² + (-5 + 5)²
= √(-9)² = √81
= 9 units
(c) the mid point joining the points (2, -5) and (-7, -5) is (a,b) that is calculated by
a = (2-7)/2 , b = (-5-5)/2
a = -5/2 , b = -10/2
a = -5/2 and b = -5
the mid point is (-5/2,-5) .
Therefore , (a) To show that the point (3/5, 4/5) is on the unit circle, we need to prove that (3/5)² + (4/5)² = 1 .
(b) The distance between points (2, -5) and (-7, -5) is 9 units .
(c) The midpoint of the line segment that joins the given points is given by (-5/2,-5) .
The given question is incomplete , the complete question is
(a) To show that the point (3/5, 4/5) is on the unit circle, we need to prove that (3/5)² + (4/5)² = .
(b) The distance between (2, -5) and (-7, -5) is .
(c) The midpoint of the line segment that joins the given points is given by ( , ) .
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Solve for x in the diagram below
Answers
\(\huge\text{Hey there!}\)
\(\huge\textbf{Equation:}\)
\(\text{3x = 120}^\circ\)
\(\huge\textbf{Simplifying:}\)
\(\text{3x = 120}^\circ\)
\(\huge\textbf{Divide \boxed{\bf 3} to both sides:}\)
\(\rm{\dfrac{3x}{3} = \dfrac{120}{3}}\)
\(\huge\textbf{Simplify it:}\)
\(\rm{x = \dfrac{120}{3}}\)
\(\rm{x = 40}\)
\(\huge\textbf{Therefore, your answer should be:}\)
\(\huge\boxed{\mathsf{x =}\frak{40}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Ariel has a salary of $100,000 in the year 2003 and got a raise of 3.32 % every year. How much money in total will Ariel earn up through the year 2007, to the nearest dollar?
Answers
Can anyone help me with this.... From Malaysia form 4 subject maths .... fast response pls.... questions 4 and 5
Answers
One factor of f (x ) = 4 x cubed minus 4 x squared minus 16 x + 16 is (x – 2). What are all the roots of the function? Use the Remainder Theorem.
Answers
\(f(x) =4 x {}^{3} - 4x {}^{2} - 16x + 16\)
\(divide \: by \: x - 2\)
\(4x {}^{2} \: into \: (x - 2) = 4x {}^{3} - 8x {}^{2} \)
\(g(x) = 4x {}^{2} - 16x + 16\)
\(4x \: into \: (x - 2) = 4x {}^{2} - 8x\)
\(z(x) = - 8x + 16\)
\( - 8 \: into \: (x - 2) = - 8x + 16 \\ no \: remainder\)
\(f(x) = (x - 2)(4x {}^{2} + 4x - 8)\)
\(f(x) = 0 \\ x - 2 = 0 \: \: \: \: \: \: \: \: \: 4x {}^{2} + 4x - 8 = 0 \\ \)
\(x = \frac{ - 4 + \sqrt{4 {}^{2} - 4(4)( - 8) } }{2(4)} = \frac{ - 4 + \sqrt{144} }{8} = \frac{ - 4 + 12}{8} = 1\)
\(x = 2\)
\(x = \frac{ - 4 - 12}{8} = \frac{ - 16}{8} = - 2\)
Answer: B
Step-by-step explanation:
Edge 2023
For 23 years, Janet saved $1,150 at the beginning of every month in a fund that earned 3.25% compounded annually. a. What was the balance in the fund at the end of the period? Round to the nearest cent Round to the nearest cent b. What was the amount of interest earned over the period?
Answers
The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.
a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.
To calculate the balance, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.
In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:
Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683
Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:
A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51
Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.
b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:
Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance
Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49
Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.
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student researchers wanted to see whether a short delay between seeing a list of words and when people were asked to recall them would hinder memorization. the subjects were shown a list of words to memorize for 1 minute and were then given 1 minute to recall as many words as they could. each subject did this once with no delay between memorizing and recall and another time with a 30-second wait between memorizing and recall. they were randomly assigned the order of the two conditions. the number of words memorized under each condition can be found in the statcrunch data set memorizingwords. questions: use the appropriate simulation applet to calculate an approximate p-value. is there strong evidence that a short delay hinders the memorization process? explain.
Answers
The appropriate simulation applet to calculate an approximate p-value is 0.0077.
The strong evidence that a short delay hinders the memorization process is strong data suggests that a brief delay impairs memorization.
Delay or no delay, answer: the number of words remembered
The mean distance between words remembered with and without delay over time is null, or zero.
Alt: The mean distance in words remembered over the long term (with no delay minus with delay) is higher than 0.
Yes, the majority of the lines do skew to the right. The mean for no delay is 10.55 whereas that for with delay is 8.7.
The mean distance in words remembered is 1.85.
1)0.0077 as the p-value
2)Strong data suggests that a brief delay impairs memorization.
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Write an expression equivalent to: -3(6x-10)
Answers
Answer:
Pemdas:
Step-by-step explanation:
-3*6x then -3*10
-18x+30= -0.6
Select all the correct answers. a group of scientists is conducting an experiment on the effects of media on children. they randomly select 100 children and randomly assign each child to one of four treatment groups. each treatment group has a specific amount of screen time during a one-week time frame. the first group has no screen time, the second group has two hours of screen time, the third group has four hours of screen time, and the fourth group has six hours of screen time. after the first week, the scientists conduct the same experiment, with the same subject groups, for three more weeks so that each group experiences each of the four treatments. which statements about this study are true?
Answers
Answer:
This study uses random sampling
This study uses a control group
This study uses a repeated measures design
Answer:
this study uses random sampling
this study uses a control group
this study uses a repeated measures design
Step-by-step explanation:
plato 2022
give a geometric description of the set of points whose coordinates satisfy the given conditions. x^2+y^2+ z^2 > 49
Answers
The set of points whose coordinates satisfy the condition \(x^{2} +y^{2} +z^{2}\)> 49 can be geometrically described as the region outside of a sphere with a radius of 7 units centered at the origin in three-dimensional space.
In the three-dimensional Cartesian coordinate system, each point is represented by its x, y, and z coordinates. The equation\(x^{2} +y^{2} +z^{2}\)= 49 represents a sphere with a radius of 7 units. Any point on or inside this sphere will not satisfy the condition \(x^{2} +y^{2} +z^{2}\) > 49.
Therefore, the set of points that satisfy the condition \(x^{2} +y^{2} +z^{2}\) > 49 corresponds to all the points located outside of this sphere. This set forms a region in three-dimensional space that extends infinitely in all directions from the sphere's surface.
Visually, if you were to plot this set of points, you would see a hollow region expanding outward from the sphere with a radius of 7 units centered at the origin. The points within this region would have a distance greater than 7 units from the origin.
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50% of games is 10 games.
Answers
Answer:
20 games
Step-by-step explanation:
fill in the blank. anthony placed an advertisement for a new assistant on november 1. he hired marquis on december 1. his _______ was 30 days.
Answers
Anthony's "hiring process" or "recruitment period" was 30 days.
The blank can be filled with "hiring process" or "recruitment period" to indicate the duration between placing the advertisement for a new assistant on November 1 and hiring Marquis on December 1. This period represents the time it took Anthony to evaluate applicants, conduct interviews, and make the decision to hire Marquis.
The hiring process typically involves several steps, such as advertising the job opening, reviewing applications, conducting interviews, and finalizing the selection. The duration of this process can vary depending on various factors, including the number of applicants, the complexity of the position, and the efficiency of the hiring process.
In this case, the hiring process took 30 days, indicating the length of time it took for Anthony to complete the necessary steps and choose Marquis as the new assistant. This duration provides insight into the timeframe Anthony needed to assess candidates and make a hiring decision.
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(Simultaneous Equations)
1. 3p+4q=23 q=
10p+12q=74 p=
2. 4s+2t=20 s=
11s+4t=49 t=
3. 3a+4b=34 b=
12a+5b=59 a=
4. 6m+5n=48 n=
18m+4n=78 m=
5. 2b+3c=21 c=
6b+4c=38 b=
Answers
Therefore, m = 7.5454... (rounded to four decimal places) and n = 0.5455...
What is Simultaneous Equations?
A finite set of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations or an equation system.
1) 3p + 4q = 23
10p + 12q = 74
Subtracting 3 times the first equation from the second equation, we get:
10p + 12q - 3(3p + 4q) = 74 - 3(23)
10p + 12q - 9p - 12q = 5
p = 5
Substituting p = 5 in the first equation, we get:
3(5) + 4q = 23
4q = 8
q = 2
Therefore, p = 5 and q = 2.
2) 4s + 2t = 20
11s + 4t = 49
Multiplying the first equation by 2 and subtracting it from the second equation, we get:
11s + 4t - 2(4s + 2t) = 49 - 2(20)
11s + 4t - 8s - 4t = 9
3s = 9
s = 3
Substituting s = 3 in the first equation, we get:
4(3) + 2t = 20
2t = 8
t = 4
Therefore, s = 3 and t = 4.
3) 3a + 4b = 34
12a + 5b = 59
Multiplying the first equation by 3 and subtracting it from the second equation, we get:
12a + 5b - 3(3a + 4b) = 59 - 3(34)
12a + 5b - 9a - 12b = 17
3a - 7b = 17
Multiplying the first equation by 5 and subtracting it from the second equation, we get:
12a + 5b - 5(3a + 4b) = 59 - 5(34)
12a + 5b - 15a - 20b = -61
-3a - 15b = -61
a + 5b = 20
Adding the equations 3a - 7b = 17 and a + 5b = 20, we get:
4a = 37
a = 9.25
Substituting a = 9.25 in the equation a + 5b = 20, we get:
9.25 + 5b = 20
5b = 10.75
b = 2.15
Therefore, a = 9.25 and b = 2.15 (rounded to two decimal places).
4) 6m + 5n = 48
18m + 4n = 78
Multiplying the first equation by 3 and subtracting it from the second equation, we get:
18m + 4n - 3(6m + 5n) = 78 - 3(48)
18m + 4n - 18m - 15n = -6
-11n = -6
n = 0.5455...
Substituting n = 0.5455... in the first equation, we get:
6m + 5(0.5455...) = 48
6m = 45.2727...
m = 7.5454...
Therefore, m = 7.5454(rounded to four decimal places) and n = 0.5455.
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A game is played by rolling balls up a ramp into holes of various point values. A player believes that her mean score at a local arcade is greater than her mean score at an amusement park. She plays 15 games at the arcade and 10 games at the amusement park. Assume those games are a random sample of her true score at both places. Her scores are:
Answers
A player has played 15 games at a local arcade and 10 games at an amusement park, with the belief that her mean score at the arcade is greater than her mean score at the amusement park.
To determine whether the player's belief is supported by the data, we need to compare the mean scores at the arcade and the amusement park. Let's assume the scores for the arcade games are: 10, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 28. And the scores for the amusement park games are: 8, 9, 10, 12, 14, 15, 16, 18, 19, 20.
To find the mean score for each set of games, we sum up the scores and divide by the number of games. For the arcade games, the sum is 334, and the mean score is 334 / 15 = 22.27. For the amusement park games, the sum is 141, and the mean score is 141 / 10 = 14.1.
Comparing the mean scores, we see that the mean score at the arcade (22.27) is indeed greater than the mean score at the amusement park (14.1). Therefore, the player's belief that her mean score at the arcade is greater than her mean score at the amusement park is supported by the given data.
By calculating the mean scores for the games played at the arcade and the amusement park, we can compare the average performance at each location. The mean score is calculated by summing up the scores and dividing by the number of games played.
In this case, the mean score at the arcade (22.27) is higher than the mean score at the amusement park (14.1), suggesting that the player performs better on average at the arcade. This analysis supports the player's belief that her mean score at the arcade is greater than her mean score at the amusement park.
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Describe the shape of the distribution.
A. It is symmetric.
B. It is uniform.
C. It is bimodal.
D. It is skewed.
Answers
Move the center of rotation back to the origin (0, 0) of the coordinate plane. Now alter pentagon ABCDE by moving one or more line segments on the pentagon to a different location. Rotate the pentagon using the slider. How many times does the pentagon map back onto itself in this situation? What can you conclude about the kinds of polygons that can map back onto themselves? Describe them.
Answers
The changed pentagon maps back onto itself only one time, when the value of α is 360°. A polygon must be regular to map back onto itself more than once. In a regular polygon, all of the sides are equal and all of the angles are equal.
Step-by-step explanation:
Answer:
The changed pentagon maps back onto itself only one time, when the value of α is 360°. A polygon must be regular to map back onto itself more than once. In a regular polygon, all of the sides are equal and all of the angles are equal.
Step-by-step explanation:
Sample Answer
Can someone please me how to solve \(|a|\ \textgreater \ 2\)
Answers
Answer:
\(|a| \to \: is \: the \: absolute \: value \: of \: a .\)
Step-by-step explanation:
\(|a| \to \: is \: the \: absolute \: value \: of \: a \\ if \: a \: is \: - 5 : then : \\ |a| = | - 5| = 5.\\ if \: a \: is \: 5 : then : \\ |a| = | 5| = 5. \\ \\ but \: \\ when \: its \: - |a| \\ if \: a \: is \: - 5 : then : \\ - |a| = - | - 5| = - 1 \times 5 = \boxed{ - 5}.\\ if \: a \: is \: 5 : then : \\ - |a| = - | 5| = - 1 \times 5 = boxed{ - 5}. \)
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Step-by-step Answer:
Whenever we have a problem like this, we can have 2 solutions (either one can work) because, in absolute equations, we need to find how far away the number is from 0.
So the answer would simply be that a>2 and a<-2
a can be anything greater than 2 or a can be anything less than 2
The image below might help to better understand
![Can someone please me how to solve [tex]|a|\ \textgreater \ 2[/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/G9PHc8rwhpw5IhQsKrIZcZuLuuPqoFNo.png)
What is the slope intercept form for this ?
Answers
Answer:
150
Step-by-step explanation:
Answer:
y = 150x + 400
Explanation:
Slope intercept form is : y = mx + b
B is the y intercept, you can also think of it like a starting value, in this case Susan starts with $400 dollars
M is the slope, you can also think of it like a value that is consistently changing over time, in this case Susan saves(or earns) $150 each month.
If you want to figure how much money she will have in a certain number of months, plug the number of months (x), into the x in y = 150x + 400.
SECTION A (20 MARKS) QUESTION 1 (a)Identify the relevant population for the below foci, and suggest the appropriate sampling design to investigate the issues, explaining why they are appropriate. Wherever necessary identify the sampling frame as well. 10 marks A public relations research department wants to investigate the initial reactions of heavy soft- drink users to a new all-natural soft drink'. (b) What type of sampling design is cluster sampling? What are the advantages and disadvantages of cluster sampling? Describe a situation where you would consider the use of cluster sampling. 10 marks
Answers
a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is stratified random sampling. The list of all heavy soft-drink users is the sampling frame.
b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.
The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.
a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.
Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.
Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.
b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.
The advantages of cluster sampling are:
Cluster sampling is an efficient method of sampling large populations. It is much cheaper than other types of sampling methods.Cluster sampling is relatively easy to perform compared to other methods of sampling, such as simple random sampling.Cluster sampling can be used when the population is widely dispersed, and it would be difficult to cover the entire population.The disadvantages of cluster sampling are:
Cluster sampling introduces sampling errors that could lead to biased results.Cluster sampling has a lower level of precision and accuracy compared to other types of sampling methods.Cluster sampling increases the standard error of the estimate, making it difficult to achieve the desired level of statistical significance.A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.
Learn more about Stratified random sampling:
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Is square root of 4 a polynomial?
Answers
Square root of 4 is not a polynomial. It is a quadratic function. Functions containing other operations like square root is not a polynomial.
A polynomial need not have any square root. polynomial is a finite sequence form. it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions. Polynomial are sums and differences of polynomial terms. For an expression to be a polynomial term, any variables in the expression must have whole number powers. It should not have any square root, cube root or any negative values. Quadratic function can have square root cube roots and fraction values.
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All the children of a class were asked to choose between the cartoon shows 'Shin Chan' and 'Tom and Jerry'.The ratio of children who selected the cartoon 'Shin Chan' to those who selected the cartoon 'Tom and Jerry', was 3:1.
If 45 kids selected 'Shin Chan', how many students are there in the class totally?
Answers
Answer:
There were 60 kids in class.
Step-by-step explanation:
Since the kids had two choices and the ratio between them was for every 3 children that selected "Shin Chan" only 1 selected "Tom and Jerry", then in order to calculate the number of children in the class if 45 kids selected "Shin Chan", we first need to calculate the number of children that selected the other option. To do that we divide the number by 3. We have:
children(Tom and Jerry) = children(Shin Chan)/3
children(Tom and Jerry) = 45/3 = 15
Therefore the number of children in the class is:
children(class) = children(Tom and Jerry) + children(Shin Chan)
children(class) = 15 + 45 = 60
There were 60 kids in class.
OH GOD HELP ME PLS PLS
Answers
Answer: 56
Step-by-step explanation: :)