Answer:
x = 20
Step-by-step explanation:
3x + 26 = 2(3 + 2x)
~Simplify
3x + 26 = 6 + 4x
~Subtract 26 to both sides
3x = -20 + 4x
~Subtract 4x to both sides
-x = -20
~Divide -1 to both sides
x = 20
Best of Luck!
Do you agree that non-random sampling technique is a quota sampling, which appears to be similar to a stratified random sampling? If yes, justify and if no, why?
No, I do not agree that non-random sampling technique is equivalent to quota sampling, which appears to be similar to stratified random sampling.
While quota sampling and stratified random sampling both involve dividing the population into subgroups or strata, they differ in terms of the sampling process.
In quota sampling, the researcher sets specific quotas or targets for each subgroup based on certain characteristics, such as age, gender, or occupation. The sampling process involves non-random selection within each subgroup until the quotas are fulfilled. Quota sampling does not involve a random selection of participants within each subgroup, making it a non-random sampling technique.
On the other hand, stratified random sampling is a true random sampling technique. It also involves dividing the population into strata based on certain characteristics, but in stratified random sampling, the selection of participants within each stratum is done randomly. This random selection ensures that every member of the population has an equal chance of being included in the sample, which helps to reduce bias and increase the representativeness of the sample.
So, while both quota sampling and stratified random sampling involve dividing the population into subgroups, the key difference lies in the selection process. Quota sampling involves non-random selection within each subgroup, whereas stratified random sampling involves random selection within each stratum.
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A bicycle rental company charges a $12 fee plus $3 per hour. Which equation represents this linear relationship
Answer:
y =3x + 12
Step-by-step explanation:
PLS HELP ASAP 4 BRAINLIEST
Answer:
The answer is A
Step-by-step explanation:
105+90=5x-70
195+70=5x-70+70
\( \frac{265}{5} = \frac{5x}{5} \)
53=x and then when you insert to in the formula 5(53)-70 you get 195
and 105+90 is also equal to 195
Youre welcome!
12. Write an equation in slope-intercept form that passes through (5,-2) and (-16,4).
Answer:
Slope: (y2-y1)/(x2-x1)
(4+2)/(-16-5) = 6/-21 = -2/7
Y = -2/7x + b
5 = -2/7(-2) + b, b = 31/7
Equation: y = -2/7x + 31/7
Step-by-step explanation:
The side length of a square is 4 inches. Find the perimeter of the square. HELP PLEASE!
Answer:
16 in
Step-by-step explanation:
4 +4+4+4 = 16
Answer:
16
Step-by-step explanation:
since perimeter is the length of all the sides added up, and the sides of a square are all equal, you just add up all the sides!
graph the function f(x) = 1/2(2)^x on the coordinate plane.
Answer:
See below
Step-by-step explanation:
You can always plug in x's and solve for y.
9. Harold, a real estate developer, sells houses at $250,000 per house. If he sells 9 houses, how much be carn?
price per house : $250,000
number of houses: 9
To find how much he will earn (y) we have to multiply the price per house by the number of houses (x).
y = 250,000 x
Where x is the independent variable (number of houses) and y is the dependent variable (earnings)
Replacing x by the number of houses:
y = 250,000 ( 9) = $2,250,000
Evaluate the expression.
12 : 3.5 - 42
Answer:
Step-by-step explanation:
Use PEDMAS
12 ÷ 3*5 - 4² = 4 * 5 - 16 {First division should be performed}
= 20 - 16 {Now multiplication}
= 4 {Finally subtraction}
A recipe for trail mix is shown below. 1 1/4 cups granola • 1/2 cup peanuts 1 / 4 cup raisins •1/8 cup chocolate chips Darnell wants to make of the recipe. How much granola, in cups, should he use?
PLEASE HELP ME ASAP YOU GET 10 POINTS FOR THE ONE WHO HELPS ME FIRST
Answer:
0.875 or 7/8
Step-by-step explanation:
you divide 1/2, 1/4, 1/8 into their decimal form and you add them all up into 0.875 and you turn it into its fraction form and get 7/8
a bitmap is a grid of square colored dots, called
Answer:
Step-by-step explanation:
A bitmap is a digital image format that is made up of a grid of square colored dots called pixels.
Each pixel in the bitmap contains information about its color and position, which allows the computer to display the image on a screen or print it on paper. Bitmaps are commonly used for photographs, illustrations, and other complex images that require a high degree of detail and color accuracy.
However, because bitmaps store information for each individual pixel, they can be memory-intensive and may result in large file sizes. Additionally, resizing a bitmap can lead to a loss of quality, as the computer must either interpolate or discard pixels to adjust the image size.
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There is 36m sq
B.if a space of 2m can comfortably fit 6 students in a standing position, what is the maximum number of students that can be sent to stand in the naughty corner during devotion
Mathematically, if a space of 2m can comfortably fit 6 students in a standing position, the maximum number of students that can be sent to stand in the naughty corner that is 36m² during devotion is 108.
How is the maximum number determined?The maximum number can be determined using the mathematical operation of multiplication and division.
Multiplication and division operations are two of the four basic mathematical operations, including addition and subtraction.
The area of the naughty corner = 36m²
The space that can comfortably fit 6 students in a standing position = 2m
The maximum number of students that can occupy 36m² in a standing position = 108 (36/2 x 6).
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a camper lights an oil lantern at noon and lets it burn continuously. once the lantern is lit, the lantern burns oil at a constant rate each hour. at p.m., the amount of oil left in the lantern is ounces. at p.m., the amount of oil left in the lantern is ounces. based on the average rate of oil burning per hour, how much oil, in ounces, was in the lantern at noon?
There were 16 ounces of oil in the lantern at noon.
Let's start by defining the variables we know. We'll call the amount of oil in the lantern at noon "x," the rate at which the oil burns "r," and the time elapsed from noon to 2 pm "t." We know that the amount of oil in the lantern at 2 pm is 12 ounces, and at 4 pm, it's 8 ounces.
We can use the rate of oil burning to create an equation relating the amount of oil in the lantern to the time elapsed. The equation is:
x - rt = y
where "y" is the amount of oil in the lantern at any given time after noon. We can solve for "x" by plugging in the values we know at 2 pm:
x - 2r = 12
And at 4 pm:
x - 4r = 8
Now we have two equations with two variables. We can solve for "r" by subtracting the second equation from the first:
2r = 4
r = 2
Now we can plug in "r" to one of the equations to solve for "x." Let's use the first equation:
x - 2(2) = 12
x - 4 = 12
x = 16
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Round 0.641 to the nearest hundredth.
Answer:
0.64
Step-by-step explanation:
Find the number in the hundredth place 4 and look one place to the right for the rounding digit 1 . Round up if this number is greater than or equal to 5 and round down if it is less than 5 .
If the 95% confidence interval for the likelihood of an unsatisfied customer is 0.077 to 0.138:
A.
If we remain stable the next satisfaction survey will show a rate of unsatisfaction between 0.077 and 0.138
B.
We are 100% sure that the true likelihood of an unsatisfied customer is between 0.077 to 0.138
C.
There is a 5% chance that the true likelihood of an unsatisfied customer will be less than 0.077 or greater than 0.138
D.
The actual results will always exceed the taget.
The option C is correct answer which is there is a 5% chance that the true likelihood of an unsatisfied customer will be less than 0.077 or greater than 0.138.
What is unsatisfied customer?
Consumer customers are "an expression of dissatisfaction on a consumer's behalf to a responsible party," according to the dictionary. It can also be positively stated as a complaint from a customer who provides proof of a fault with a good or service.
As given,
95% confidence interval gives you 95% confident that unsatisfied customer is in between 0.077 to 0.138.
that means 5% chance that unsatisfied customer is not between intervals.
So, we can say 5% chance that true likelihood of an unsatisfied customer will. be less than 0.077 or greater than 0.138.
Hence, the option C is correct answer.
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write each polynomial function in standard form. Then classify it by degree and by number of terms and describe its end behavior
1. y=3x^2 -7x^4+9-x^4
2. y=(t-2)(t+1)(t+1)
Standard form of y = 3x² -7x⁴+ 9 - x⁴ is y = - 8x⁴ + 3x²+ 9
Standard form of y = (t-2)(t+1)(t+1) is t³- 3t - 2.
Standard Form of Polynomial:
The term "polynomials in standard form" can also refer to a polynomial written in the decreasing order of the power of the variable, which is known as the standard form of a polynomial.
In other words, the definition of a polynomial in standard form states that exponents or degrees must be written in decreasing order.
Here we have
1. y = 3x² -7x⁴+ 9 - x⁴
2. y = (t-2)(t+1)(t+1)
We can write given expressions in standard forms as given below
1. y = 3x² -7x⁴+ 9 - x⁴
Add like terms
=> y = 3x² - 8x⁴ + 9
Rewrite the given terms in decreasing order of their powers
=> y = - 8x⁴ + 3x²+ 9
2. y = (t-2)(t+1)(t+1)
Multiply the given terms
=> (t - 2) [ (t+1)²]
=> (t - 2) [ t² + 2t + 1 ]
=> t³ + 2t² + t - 2t² - 4t - 2 ]
=> t³- 3t - 2
Therefore,
Standard form of y = 3x² -7x⁴+ 9 - x⁴ is y = - 8x⁴ + 3x²+ 9
Standard form of y = (t-2)(t+1)(t+1) is t³- 3t - 2.
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a coffee company wants to bring out a new holiday flavor and decide to conduct a study to see what their customers prefer. in which situation could they use a hypothesis test for matched pairs?
The null hypothesis for the test would be that there is no difference between the ratings for the existing coffee flavors and the newly introduced holiday flavor. The alternative hypothesis would be that there is a significant difference between the ratings.If the p-value of the test is less than the level of significance, the company can reject the null hypothesis and conclude that there is a significant difference between the ratings for the two sets of flavors. This would indicate that the holiday flavor is preferred more than the existing flavors and the company can introduce it as a new flavor for the holiday season.
The coffee company can use a hypothesis test for matched pairs in a situation where they want to compare the preferences of their customers for the existing coffee flavors with the newly introduced holiday flavor. By conducting a matched-pairs hypothesis test, the company can determine whether the holiday flavor is preferred more than the existing flavors.Matched-pairs hypothesis test is a statistical test used to determine the difference between two related variables. In this case, the related variables are the preferences of the customers for existing coffee flavors and the newly introduced holiday flavor. The test involves measuring the differences between the paired variables and determining whether the differences are significant enough to indicate a preference for one flavor over the other.
For instance, the coffee company can conduct a survey among its customers to determine their preferences for the different coffee flavors. The survey can involve asking the customers to rate the existing coffee flavors and the newly introduced holiday flavor on a scale of 1 to 10. The company can then compare the ratings for each customer to determine whether the holiday flavor is preferred more than the existing flavors.After collecting the data, the company can use a paired t-test to determine whether the differences in the ratings are significant.
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The line perpendicular to y=-3x+4 that passes through the point (-3,-7)
Answer:
Step-by-step explanation:
A perpendicular line will have a sope that is the negative inverse of the reference line. The reference line is y = -3 + 4, with a slope of -3. The negative inverse would be -(-1/3) or (1/3).
The new line will take the form of y = (1/3)x + b, where b is the y-intercept (the value of y when x=0). We want the new line to go through point (-3,-7). We;ll need a value of b that will make that happen. To find b, enter the given data point and solve for b:
y = (1/3)x + b for (-3,-7).
-7 = (1/3)(-3) + b
-7 = -1 + b
b = -6
The new equation is y = (1/3)x - 6
See the attached graph.
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4
5 6 7
Select the correct inequality symbol: x? 1
OK
Answer:
Option (1)
Step-by-step explanation:
From the given number line,
Arrow starts from x = 1 with a hollow circle and moves towards negative numbers.
Hollow circle represents the sign of less than (<) or Greater than (>).
And arrow towards negative numbers represents the sign of less than (<)
Therefore, x < 1 will be the answer.
Option (1) will be the correct option.
Is it possible to add the data for an additional hike to the line plot so that the range increases but the median does not change?
Answer:
Not possible
Step-by-step explanation
Range is the difference between the highest and lowest data value in a data set. It is used to define the spread on data on the graph. Higher the range higher will be spread of data.
Whereas median is the middle value(odd number of data values) or average of the middle values(even number of data values) in a data set.
Therefore, adding an additional data value will surely change range( increase in case, the value is higher than other values) at same time it will also effect the median of the data set. So, it not possible to add the data for an additional hike to the line plot so that the range increases but the median does not change
In triangle GHJ, mH = 85° and mG = 60°.
Choose the correct symbol to put in the blank.
HJ ___ JG
<
=
>
Answer: The correct symbol is '<'.
Step-by-step explanation:
Given: In triangle GHJ
\(m\angle H=85^{\circ}\) and \(m\angle G=60^{\circ}\)
Here angle H is opposite to side JG and angle G is opposite to side HJ
We know that,
The side opposite to the greater angle of a triangle is greater.
Since \(m\angle H> m\angle G\)
Then, JG > HJ
Hence, HJ < JG
Find all 3 solutions: 3 − 42 − 4 + 5 = 0
Answer:
Step-by-step explanation:
If you mean 3x^3 - 42x^2 - 4x + 5 = 0 you can graph it manually or with technology
The roots are 14.09, 0.30 and -0.39 to nearest hundredth.
you flip a coin 10 times in a row. every single time it comes up heads. on the 11th flip, is it more likely to be heads, tails, or are heads and tails equally likely
Answer:
1/2
Step-by-step explanation:
It will be either heads of tails equally likely.
It’s still 1/2. Flipping a coin is an independent event. In other words, the outcome of the next flip is uninfluenced by what has happened previously. It’s as if it were the first time you ever flipped the coin. The probability is unaltered.
Assume you are the manager of a shop that assembles power tools. You have justrecelved an order for 50 chain saws, which are to be shipped at the stait of week 8 . Pertinent minormotion on the saws fo
The order for 50 chain saws will be shipped at the start of week 8.As the manager, I will ensure that the assembly of the 50 chain saws begins at the start of week 6 to meet the shipping deadline at the start of week 8.
To determine the shipping date, we need to consider the production time for assembling the chain saws. Assuming a standard production time of 2 weeks, we can calculate the start date for production.
Start date for production = Shipping date - Production time = Week 8 - 2 weeks = Week 6
Therefore, the assembly of the chain saws should start at the beginning of week 6 in order to meet the shipping deadline at the start of week 8.
As the manager, I will ensure that the assembly of the 50 chain saws begins at the start of week 6 to meet the shipping deadline at the start of week 8. This will ensure that the order is fulfilled on time and the customer's expectations are met.
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4(2x-1)+2x+2= 28
solve for X
Answer:
X=3
Step-by-step explanation:
First you can distribute the 4 to 2x-1 making is 8x-4
8x-4+2x+2=28
Now add like terms
8x+2x-4+2=28, 10x-2=28
Add 2 to both sides
10x=30
Divide both sides by 10
x=3
An art teacher bought a pack of 96 drawing sheets.She kept aside 12 sheets for later use and distributed the remaining equally among 6 students. How many sheets did each student get?
Answer:
14
Step-by-step explanation:
First, find out how many she had to distribute
96 - 12 = 84
Now divide 84 by the number of students
84/6=14
ΔADC is translated along the vector <-2,3> and then reflected in the x -axis. What are the coordinates of A' after the transformation?
A. (1,-4)
B. (1,4)
C. (-1,4)
D. (-1,-4)
The coordinates of A' after the transformation are (-1, -4).
To find the coordinates of point A' after the described transformation, we need to perform two operations: translation and reflection.
1. Translation along the vector <-2, 3>:
To translate a point along a vector, we add the corresponding components of the vector to the coordinates of the point.
If the coordinates of point A are (x, y), the translated coordinates of A' will be (x - 2, y + 3).
2. Reflection in the x-axis:
To reflect a point in the x-axis, we negate the y-coordinate while keeping the x-coordinate the same.
Given that we have translated the point A by <-2, 3>, the new coordinates of A' after the translation are (x - 2, y + 3). To reflect A' in the x-axis, the final coordinates of A' will be (x - 2, -(y + 3)).
Comparing the given answer choices:
A. (1, -4)
B. (1, 4)
C. (-1, 4)
D. (-1, -4)
We can see that the correct answer is D. (-1, -4), as it matches the calculated coordinates of A' after the translation and reflection.
Therefore, the coordinates of A' after the transformation are (-1, -4).
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A company manufactures model rockets that require igniters to launch. Once an igniter is used to launch a rocket, the igniter cannot be reused. Sometimes an igniter fails to operate correctly, and the rocket does not launch. The company estimates that the overall failure rate, defined as the percent of all igniters that fail to operate correctly, is 15 percent. A company engineer develops a new igniter, called the super igniter, with the intent of lowering the failure rate. test the performance of the super igniters, the engineer uses the following process. Step 1: One super igniter is selected at random and used in a rocket. Step 2: If the rocket launches, another super igniter is selected at random and used in a rocket. Step 2 is repeated until the process stops. The process stops when a super igniter fails to operate correctly or 32 super igniters have successfully launched rockets, whichever comes first. Assume that super igniter failures are independent a. If the failure rate of the super igniters is 15 percent, what is the probability that the first 30 super igniters selected using the testing process successfully launch rockets? b. Given that the first 30 super igniters successfully launch rockets, what is the probability that the first failure occurs on the thirty-first or the thirty-second super igniter tested if the failure rate of the super igniters is 15 percent? C. Given that the first 30 super igniters successfully launch rockets, is it reasonable to believe that the failure rate of the super igniters is less than 15 percent? Explain.
0.0076 is the probability that the first 30 igniters tested do not fail .
What is probability in math?
The area of mathematics known as probability explores potential outcomes of events, along with the likelihoods and distributions of those occurrences.
a)if the failure rate for the super igniters is 15% then the probability that each igniter fails is 0.15,and the probability that it does not fail is 0.85.Therefore the probability that the first 30 igniters tested do not fail is (0.85)30= 0.0076.
b)given that there are no failures in the first 30 tries,the probabilities occurs on 31st try is 0.15 and the probability that it does not occur on 31st but occurs on 32nd try is (0.85)(0.15)=0.1275.therefore the probability of one or the other is 0.15+0.1275=0.2775.
c)the result of the probability calculation in part(a) provides reason to believ the failure rate of the super igniters is less than 15%.The calculated proability of 0.0076 shows that there is less than a 1% chance that 30 or more igniters in a row would not fail if the failured rate was 15%.This probability is smaller than conventional significance levels such as alpha=0.05 and 0.01 and thus is small enough to make it reasonable to believe that the failure rate of the super igniters is less than 15%.
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suppose you lift a laptop that weighs 4.1 pounds off the floor onto a shelf that is 2 feet high. how much work have you done?
The required work done in lifting the laptop to a height of 2 feet will be 263.79 foot-poundal.
Total weight of the laptop is 4.1 pounds
Acceleration due to gravity = 32.17 ft/\(s^{2}\)
Now the height to which the laptop has been lifted = 2 feet
Since, there is no mentioned velocity of the laptop, therefore the kinetic energy will be zero
Therefore, the total work in lifting the laptop will be equal to the change in potential energy.
Potential energy is the energy that comes by virtue of its position with reference to other
Therefore, potential energy = mgh
Where, m = mass of the laptop = 4.1 pounds
g = acceleration due to gravity = 32.17 ft/\(s^{2}\)
h = height to which the laptop is lifted = 2 feet
Therefore potential energy = (4.1)(32.17)(2) = 263.79 foot-poundal
263.79 foot-poundal is the required work done.
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Use f(x) log6(36x) and g(x) = 6* to answer the questions below. (a) Find f(g(x)) and simplify. 36+ x 36x 6 + x 2+ x 2x (b) Find the range of y f(x) +g(x) (-0, ) [6, 00) (0, o) O[1, 0o) O (1/36, o)
To find f(g(x)), substitute g(x) into f(x). Simplifying gives f(g(x)) = log6(36g(x)). For range of y in f(x) + g(x), Take possible values . Since log6(36x) is defined for x > 0, and 6 is positive, the range of y is (0, ∞).
a) To find f(g(x)), we substitute g(x) into f(x):
f(g(x)) = f(6x) = log6(36(6x)) = log6(216x) = log6(6^3x) = 3log6(6x) = 3(log6(6) + log6(x)) = 3(1 + log6(x)) = 3 + 3log6(x).
Thus, f(g(x)) simplifies to 3 + 3log6(x).
(b) To find the range of y in f(x) + g(x), we need to consider the possible values of f(x) and g(x). Since log6(36x) is defined for x > 0, and 6* is always positive, the range of f(x) is (0, ∞). Similarly, g(x) = 6* is always positive, so the range of g(x) is also (0, ∞).When we add f(x) and g(x), we are adding two positive functions, resulting in values greater than 0. Therefore, the range of y in f(x) + g(x) is (0, ∞).
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If MJKL is congruent to UVWX, then
ML is congruent to UV
MJ is congruent to WX
JK is congruent to VW
DUX is congruent to JK