The sampling technique used in this scenario is known as a census or a complete enumeration.
A census involves gathering information from every individual in a population or a specific group of interest. In this case, the community college student interviews everyone in the statistics class to determine the percentage of students who own a car. By interviewing each student in the class, the researcher aims to capture the entire population and obtain a comprehensive understanding of car ownership among the students.
Using a census method ensures that there is no sampling error since the entire population is included in the study. However, conducting a census may be time-consuming and resource-intensive, especially when dealing with large populations.
Therefore, researchers often use sampling techniques, such as random sampling, to gather information from a subset of the population that can still provide reliable results.
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A building in a city has a rectangular base. The length of the base measures 75 ft less than twice the width. The perimeter of this base is 840 ft. What are the dimensions of the base?
The dimensions of the base are 180 feet in length and 165 feet in width.
Let the width of the base be "x".The length of the base is 75 less than twice the width.The length of the base is 2x-75.The perimeter of the base is given to be 840 feet.The perimeter of a rectangular base is twice the sum of its length and its width.The perimeter of a rectangular base is 2\(\times\)[(2x-75) + x].840 = 2\(\times\)(3x-75)420 = 3x-753x = 495x = 165Thus, the width is 165 feet.The length is equal to 2(165-75) = 2\(\times\)90 = 180 feet.The whole length of any closed shape's boundary is known as its perimeter. Let's use an illustration to try to comprehend this. You may have a sizable square-shaped farm, for instance. You now decide to fence your farm in order to protect it from stray animals. Finding the entire length of the farm's boundary is as simple as multiplying the length of one side of the farm by 4. There are a lot of situations like this when we can be applying the perimeter-finding notion without even realizing it.
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z=4−2i
Re(z) =
Im(z) =
Step-by-step explanation:
i hope it helps im not sure if I'm correct tho
what solution value does not satisfy the compound inequality x – 7 < 17 or –6x > 36? question 2 options: a) x
The solution of compound inequalities is -6 < x < 24.
A compound inequality is a sentence that contains two inequality statements connected by the words "or" or "and." The conjunction "and" denotes that both statements of the compound sentence are true at the same time. It is the intersection or overlap of the solution sets for the individual statements. "Or" indicates that the entire compound sentence is true if either statement is true. It is the union or combination of the solution sets for each individual statement. A conjunction is a compound inequality that contains the word "and."
Inequalities are expressions that do not have an equal sign between them.
Given,
X - 7<17or-6x>36
First,
x - 7 < 17
x < 17 + 7
x < 24
Similarly,
-6x >36
x < \(\frac{-36}{6}\)
x < -6
Thus, compound inequality's solution is -6 < x < 24
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please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
44.1
Step-by-step explanation:
Cosine = Adjacent over Hypotenuse
Adjacent of ∠T = 28 and hypotenuse = 39
Which means that \(cos(x)=\frac{28}{39}\)
Now we solve for x
To get rid of the "cos" we take the inverse of cos ( which is \(cos^-^1\) ) and apply it to each side
\(cos^-^1((cos)x) = x\\cos^-^1(\frac{28}{39} )=44.11461855\)
We're left with x = 44.11461855
Our last step is to round to the nearest tenth and we get that the answer is 44.1
on a certain standardized test, the mean is 180 and the standard deviation is 35. which of the following is within 2 standard deviations of the mean?
Any value between 110 and 250 is within 2 standard deviations of the mean. In other words, any data point between 110 and 250 is considered within this range.
Within 2 standard deviations of the mean refers to the range that includes data points within two units of standard deviation from the mean. In this case, the mean is 180 and the standard deviation is 35.
To find the range within 2 standard deviations of the mean, we need to calculate the upper and lower bounds.
The upper bound can be found by adding 2 standard deviations (2 * 35 = 70) to the mean: 180 + 70 = 250.
The lower bound can be found by subtracting 2 standard deviations (2 * 35 = 70) from the mean: 180 - 70 = 110.
Therefore, any value between 110 and 250 is within 2 standard deviations of the mean. In other words, any data point between 110 and 250 is considered within this range.
It's important to note that this answer is specific to the given mean and standard deviation. If the mean and standard deviation were different, the range within 2 standard deviations would also be different.
Always calculate the upper and lower bounds based on the provided mean and standard deviation to determine the range within 2 standard deviations accurately.
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What is the mean of the following data values?
53, 71, 89, 10, 62
Answer:
Ok so I kind of want you to learn how to do this because its really easy. You add up all of the numbers then you count how many numbers there are and you divide of all of the numbers that you added up and the sum of how many numbers there are for example if I had 34,65, 75, 85, 14, and 23 It would be 34+65+75+85+14+23= 269. There are 6 numbers so 269 divided by 6 and you get 44.8 IF THIS HELPS!!
Step-by-step explanation:
Answer:
53
Step-by-step explanation:
The eluent is to be below the 1.5 cm line on the chromatographic paper. Describe the excepted observation if the eluent were above the 1.5 cm line.
If the eluent were above the 1.5 cm line on the chromatographic paper, it would be considered an unexpected observation.
Normally, during chromatography, the eluent is applied below the baseline or reference line on the paper.
If the eluent exceeds the expected limit and goes above the 1.5 cm line, it can have several implications:
Smearing or spreading: The excess eluent can cause the compounds being separated to spread out more than intended. This can lead to a loss of resolution and poor separation of the individual components.
Incomplete separation: The higher eluent level can disrupt the chromatographic process, resulting in incomplete separation of the compounds. This means that the different components may not be adequately resolved into distinct bands or spots.
Longer analysis time: With the eluent above the expected level, it may take longer for the eluent front to reach the desired distance, as it needs to travel a greater distance on the chromatographic paper. This can increase the overall analysis time and potentially affect the accuracy of the results.
Unreliable measurements: If the eluent exceeds the 1.5 cm line, it can make it challenging to accurately measure the migration distances of the separated compounds. This can introduce uncertainty or errors in the calculations or interpretations of the chromatogram.
In summary, if the eluent is observed above the 1.5 cm line on the chromatographic paper, it is an unexpected observation that can lead to compromised separation, longer analysis times, and potential difficulties in accurate measurements and interpretations of the chromatogram.
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Examine the plot below showing the decrease of a thirty-year loan balance over time. After how many years will the loan be half-paid? A. 15 years B. 18 years C. 21 years D. 24 years
Answer: b. 18
Mark me brainliest
Step-by-step explanation:
Function f is a linear function and function g is defined by g(x) = f(x) + k. If the value of k is 7, how does the graph of g compare with the graph of f ?..
The graph of g is the graph of f
translated up 7 units
translated left 7 units
translated right 7 units
translated down 7 units
stretched vertically by a scale factor of 7
stretched horizontally by a scale factor of 7
The graph of g is Transformation up 7 units.
what is Transformation?
A graph transformation is a method for altering an existing graph or graphed equation to create a different version of the graph that follows. The modification of algebraic equations is a typical form of algebraic issue.
solution:
From the question, we have the following parameters that can be used in our computation:
g(x) = f(x) + k
Also, we have the value of k to be
k = 7
From the question, we can interpret g(x) = f(x) + k as f(x) is shifted up by k units
This means that
g(x) = f(x) + k
So, we have
g(x) = f(x) + 7
Hence, the transformation is (a) translated up 7 units
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Let V and W be vector spaces, and let T:V→→W be a linear transformation. Given a subspace U of V, let T(U) denote the set of all images of the form T(x), where x is in U. Show that T(U) is a subspace of W.To show that T(U) is a subspace of W, first show that the zero vector of W is in T(U). Choose the correct answer below.A. Since V is a subspace of U, the zero vector of U, 0, is in V. Since T is linear, T(0)=Ow, where 0w is the zero vector of W. So Oy is in T(U ). B. Since U is a subspace of W, the zero vector of W, Ow, is at U. Since T is linear, T(0) = 0, where 0, is the zero vector of V. So Ow is at T( U).C. Since V is a subspace of U, the zero vector of V, Oy, is in U. Since T is linear, T(0)=0w, where 0w is the zero vector of W. So 0 is in T(U ).D. Since U is a subspace of V, the zero vector of V, 0y, is at U. Since T is linear, T(0)=0, where 0 is the zero vector of W. So 0w is at T(U ).
T(U) is a subspace of W Since V is a subspace of U, the zero vector of V, 0, is in U. As T is linear, \(T(0) = 0_w\) , where \(0_w\) is the zero vector of W. Therefore, \(0_{w}\) is in T(U).
It can be proved Since U is a subspace of V, the zero vector of V, 0y, is in U. Since T is linear, \(T(0_{y}) = 0_{w}\) , where \(0_{w}\) is the zero vector of W. So\(0_{w}\) is in T(U).
To show that T(U) is a subspace of W, we also need to show that T(U) is closed under vector addition and scalar multiplication. Let u1, u2 be vectors in U, and let c be a scalar. Then we have: \(T(u1 + u2) = T(u1) + T(u2)\) (since T is linear)
\(T(cu1) = cT(u1)\) (since T is linear)
Since U is a subspace of V, we have \(u1 + u2\) and \(cu1\) are also in U. Therefore, \(T(u1 + u2)\) and \(T(cu1)\) are both in T(U), which shows that T(U) is closed under vector addition and scalar multiplication.
Thus, T(U) is a subspace of W.
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marie+will+be+receiving+$300+per+year+for+the+next+six+years.+the+interest+on+the+account+is+5%,+compounded+annually.+what+is+the+present+value+of+this+annuity?+answers+are+rounded+to+whole+dollars.
The present value of this annuity is $1,516 (rounded to the nearest whole dollar).
The formula for determining an annuity's present value is as follows:
PV = PMT [(1 - (1 + r)(-n)) / r] in which:
PV is the present value PMT is the payment per period, r is the interest rate per period, and n is the number of periods. In this example, Marie will receive $300 per year for the next six years, with an annual interest rate of 5%.
PMT = $300, r = 5%, 0.05, n = 6, and we can use this formula fto figure out the present value:
PV = $300 [(1 - (1 + 0.05)(-6)) / 0.05] PV = $300 [(1 - (1.05)(-6)) / 0.05] Let's figure out the value now:
The present value of this annuity is therefore $1,516 (rounded to the nearest whole dollar): PV = $300 [(1 - 0.74726) / 0.05] PV = $300 [0.25274 / 0.05] PV = $300 5.0548 PV = $1,516.44
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Consider the graphs of the following lines.
3x - 5y = 2
3x + 5y = -2
Find the slope m of each line.
3x - 5y = 2
m₁ =
3x + 5y = -2
m2 =
8.6A.
4
Slope of lines 3x - 5y = 2 and 3x + 5y = -2 are m₁ = 3/5 and m₂ = -3/5 respectively.
What is slope of the line?The slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate of the line. The net change in the y coordinate is Δy and the net change in the x coordinate is Δx. Therefore, the change in y-coordinate for a change in x-coordinate can be written as
Line slope is a measure of the steepness or direction of a line in the coordinate plane.
m = Δy/Δx
where,m is the slope
Given,
equations of the line
3x - 5y = 2
Moving 3x to RHS
-5y = -3x + 2
y = (3/5)x - 2/5
comparing with slope intercept equation of the line y = mx + c
slope m₁ = 3/5
Now, equation
3x + 5y = -2
moving 3x to RHS
5y = -3x - 2
y = (-3/5)x - 2
comparing with slope intercept equation of the line y = mx + c
slope m₂ = -3/5
Hence, m₁ = 3/5 and m₂ = -3/5 are slope of lines 3x - 5y = 2 and 3x + 5y = -2 respectively.
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SOLVE FOR Y!
8x+2y= -10
Answer:
y =-5-4x
Step-by-step explanation:
What is the range of the function?
O all real numbers
O all real numbers greater than 0
O all real number less than or equal to 0
O all real numbers greater than or equal to 0
Which of the following is divisible by all of the integers from 1 to 10?
A) 23x34
B) 34x45
C) 45x56
D) 56x67
E) 67x78
Answer:
B or C or A or E or D i dont know
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
The result of the multiplication must end in 0 so A, D nor E are the answer.
Consider B:
34 * 45
Neither of the numbers are divisible by 7 so it's not this one.
It's C because:
56 is divisible by 1, 2,4,7,8 and
45 is divisible by 3, 5, 9
The factors contain 2 and 3 so its also divisible by 2*3 = 6.
The product ends in 0 so its also divisible by 10.
Need Help Giving 50 points
The answer is B
Hope this helps!
what is 100^100 / 100^98 to be 100?
Answer:
100 ^2
10000
Step-by-step explanation:
100^100 / 100^98
We know that a^b / a^c = a^(b-c)
100 ^ (100-98)
100 ^2
10000
Answer:
100
Step-by-step explanation:
The radius of a circle is 3 feet. What is the circle's area?
(PLEASE HELP!)
Answer:
28.27 I believe
Step-by-step explanation:
Answer:
28.26ft²
Step-by-step explanation:
A = πr²
plug in 3 for r
A = π(3²)
A = π(9)
A = 3.14(9)
A = 28.26ft²
3) Which pair of triangles is congruent by Angle - Side - Angle? *
3
2
2
X'4A
A
4
Answer
1
The congruent side must be between the congruent angles to be ASA
"1" has a congruent angle and a congruent side, but there are vertical angles, and these angles are congruent, so it is ASA
If quiz grades are normally distributed with a mean of 80. and a standard deviation of 7.0, what isthe probability that a student will have a quiz grade of 90. or greater?
The probability of a student having a quiz grade of 90 or greater is 7.4%.
Normal Distribution:The two characteristics feature of normality and symmetricity of a dataset makes calculations pertaining to research theory easier. Further, in a case where symmetricity is observed in data, normal distribution is assumed there as an appropriate probability distribution.
The probability of a student having a quiz grade of 90 or greater can be calculated using the standard normal distribution. The formula used to calculate this probability is P(x ≥ 90) = 1 - P(x < 90).
The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1. To convert our quiz grade to a z-score, we must subtract the mean (80) from our quiz grade (90) and divide by the standard deviation (7). This gives us a z-score of 1.43.
To calculate the probability of a quiz grade of 90 or greater, we subtract the cumulative probability of a z-score of 1.43 from 1. This can be done using a z-table or a calculator. The result of this calculation is 0.0740 or 7.4%.
In conclusion, the probability of a student having a quiz grade of 90 or greater is 7.4%.
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Which graph represents the solution set to the following system of linear
inequalities?
ys2x+7
y>-3x-2
PLSS HELP!
Answer:
Step-by-step explanation:
I am not sure what your first inequality is saying y≤2x +7 or y≥2x+7
-the equation y> -3x-2 , has a negative slope m= -3 (the line is going down from left to right if is a negative slope) and it has to be a dotted line( <, or > is a dotted line, ≤, or ≥ is a solid line) so the answer must be either A or D
-if the second equation is y≤2x +7 then the answer is D because y has to be less than 2x+7 the area under the line will be include in the solution
--if the second equation is y≤2x +7 then the answer is A because y has to be greater than 2x+7 the area above the line will be include in the solution
Answer:
1 4/5
Step-by-step explanation:
2x+7>-3x-2
2x+3x>-2-7
5x/5>-9/5
=1 4/5
Thanks Hope It Help
Weather data is collected to analyze wind speed according to temperature. Identify the variables as either input or output to label the table and graph.
Answer: column A= temperature column B= wind speed. Label A= wind speed label B= Temperature
Step-by-step explanation:
Answer:
Column A =
✔ temperature
Column B =
✔ wind speed
Label A =
✔ wind speed
Label B =
✔ temperature
Step-by-step explanation: Just did it in the assignment of edge :)
brainliest to correct answer
The grade of a highway up a hill is 26%, How much change in horizontal distance is there if the vertical height of the hill is 600 feet? Express the answer to the nearest foot.
The grade of a highway up a hill is 26%, therefore the amount of change in horizontal distance if the vertical height of the hill is 600 feet is 2307ft.
What is Distance?
This is referred to as the numerical or occasionally qualitative measurement of how far apart objects or points are.
First, express the grade as a decimal.
26% → 0.26
Grade = (change in vertical height) / (change in horizontal distance)
0.26 = (600 ft) / x
x = (600 ft) / 0.26 = 2307 ft
That is the change in horizontal distance.
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When results from a scholastic assessment test are sent to test-takers, the percentiles associated with their scores are also given. Suppose a test-taker scored at the 68th percentile for their verbal grade and at the 27th percentile for their quantitative grade. Interpret these results. O A. This student performed better than 32% of the other test-takers in the verbal part and better than 73% in the quantitative part. OB. This student performed better than 32% of the other test-takers in the verbal part and better than 27% in the quantitative part. O C. This student performed better than 68% of the other test-takers in the verbal part and better than 73% in the quantitative part. OD. This student performed better than 68% of the other test-takers in the verbal part and better than 27% in the quantitative part.
This student performed better than 68% of the other test-takers in the verbal part and better than 27% in the quantitative part.
Given,
Test-taker scored at the 68th percentile for their verbal grade and at the 27th percentile for their quantitative grade .
Now,
68% percentile : 68% scores equal or less .
27% percentile : 27^ scored equal or less .
Thus option D
This student performed better than 68% of other test taker in verbal and better than 27% in quantitative part .
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(PLS HURRY!) On Melissa's 6th birthday, she gets a 2000$ CD that earns 6% interest, compounded. If the CD matures on her 14th birthday, how much money will be available?
Using compound interest formula when the CD matures on Melissa's 14th birthday, there will be $3187.69 available.
What is Compound Interest?The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.
Use the formula for compound interest to calculate the amount of money that will be available when the CD matures -
\(A = P(1 + r/n)^(nt)\)
Where A is the amount of money available when the CD matures, P is the initial principal, r is the interest rate, n is the number of times the interest is compounded per year, and t is the time in years.
In this case, the initial principal is $2000, the interest rate is 6%, and the CD will be held for 8 years (from Melissa's 6th to 14th birthday).
It is not given how many times per year the interest is compounded, so assume it is compounded annually.
Using these values in the formula -
\(A = $2000(1 + 0.06/1)^(1*8)A = $2000(1.06)^8A = $3187.69\)
Therefore, the value is obtained as $3187.69.
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y=7x^2-3
find the value of the discriminant
is there 2 real solution, 1 real solution, or no real solution
Step-by-step explanation:
We have,
\(y=7x^2-3\)
It is required to find the value of the discriminant. It is given by :
\(D=b^2-4ac\)
Here, a = 7 b = 0 and c = -3
So,
\(D=(0)^2-4\times 7\times (-3)\\\\D=84\)
The discriminant is positive here, it means that it has two distinct real number solutions.
please help me
Question
A coin is flipped three times, and the following list shows the possible outcomes.
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
How many outcomes include exactly one head?
Enter your answer as a number, like this: 42
Answer:
1/8 is the probability to have exactly one head
given the cost function C(x)=0.76x+77,700 and the revenue function R(x)=1.81x find the break even point the intersection is________
To answer this problem we have to remember that the break even point occur where the revenue function and the cost function have the same value.
Then, this happens when
\(C(x)=R(x)\)Pluggin the expressions of our functions and solving for x we have:
\(\begin{gathered} 0.76x+77700=1.81x \\ 77700=1.81x-0.76x \\ 77700=1.05x \\ x=\frac{77700}{1.05} \\ x=74000 \end{gathered}\)Therefore the break even point occurs when x=74000. In this points both functions have value
\(\begin{gathered} C(74000)=133940 \\ R(74000)=133940 \end{gathered}\)
The numerator of the given fraction is 4 less than the denominator. If 5 is added to both numerator and denominator, the resulting fraction is equivalent to 5/7 . What is the original fraction? heeeeeeelp!!!
Answer:
5/9
Step-by-step explanation:
Let the denominator be k and thus numerator be 4 less than k or k - 4.
Fraction = (k - 4)/k
If 5 is added to both:
=> (k-4 + 5)/(k + 5) = 5/7
=> 7(k + 1) = 5(k + 5)
=> 7k + 7 = 5k + 25
=> 2k = 18
=> k = 9
Thus,
Fraction is (k-4)/k = (9-4)/9 = 5/9