(a) The population of interest is the entire student body, which consists of 14,000 students.
(b) The sample in this problem is the group of 200 students who were interviewed to determine their attitude toward the proposed change in the grading system.
(a) The population of interest is the group of individuals that the study aims to make inferences about. In this case, the student senate wants to determine the proportion of all students who favor a change in the grading system. Since the study's goal is to generalize the findings to the entire student body, the population of interest is all 14,000 students.
(b) The sample is the group of individuals who are actually studied in the research. In this case, the sample consists of 200 students who were interviewed to determine their attitudes toward the proposed change in the grading system. The sample is a subset of the population of interest and should be representative of it to make valid inferences.
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Find the slope of the line that passes through the points (2,4) and (6, 12)
O 1/2
0-1/2
O 2/1
0-2/1
Answer:
The slope is 2 or 2/1
Step-by-step explanation:
TRUE OF FALSE. A dilation with a scale factor that is not equal to 1 is always used to create
similar figures while it is never used to create congruent figures.
Answer:
False! as long as the the Scale Factor is 1, there is still a possibility that the figure will be congruent or greater! GOOD LUCK!
Answer: True
Step-by-step explanation: This is the difference between using transformations to create similar figures vs using transformations to create congruent figures. Similar figures are figures with the same shape. Congruent figures are figures with the same shape and size. If the scale factor is not equal to 1, then the figures are similar. If the scale factor is equal to 1, then the figures are congruent.
Round your answer to the nearest hundredth.A = 8.4 in²Calculate the diameter of the circle.O 3.27 inO 4.20 inO 1.75 inO2.89 in
The area of a circle can be calculated as follows:
\(A=\pi r^2\)Using the area given in the problem and solving for the radius r:
\(\begin{gathered} A=8.4 \\ 8.4=\pi r^2 \\ \frac{8.4}{\pi}=r^2 \\ \sqrt{\frac{8.4}{\pi}}=r \\ 1.635=r \end{gathered}\)Finally, the diameter is twice the radius:
\(\begin{gathered} d=2r \\ d=2*1.635 \\ d=3.27\text{ in} \end{gathered}\)Then the answer is the first option 3.27 in
Find is the value of x
Answer:
x=60
Step-by-step explanation:
50+90+100=240
360-240=120
x=60
I will mark you brainiest!!!
A passenger train left the station and traveled toward Las Vegas at an average speed of 55mph. A cattle train left at the same time and traveled in the opposite direction with an average speed of 65mph. Which equation best represents this situation when the trains are 960 mi apart?
A - 65x - 55(2) = 960
B - 65x - 55x = 960
C - 65x + 55(2) = 960
D - 65x + 55x = 960
E - 65(2) + 55x = 960
Answer:
The answer is b
Step-by-step explanation:
The distance traveled by the passenger train and the cattle train is equal to the total distance between them, which is 960 miles. Let x be the time (in hours) traveled by the passenger train and cattle train. Then, the equation that represents this situation is:
55x + 65x = 960
Simplifying the left-hand side of the equation, we get:
120x = 960
Dividing both sides by 120, we get:
x = 8
Therefore, the correct equation is:
B - 65x - 55x = 960
how do you find the probability that at least one is selected out of 3 numbers with replacement
The probability of at least one number being selected out of three numbers with replacement is 19/27. This is calculated by finding the complement of the probability that none of the numbers are selected, which is 8/27.
To find the probability of at least one number being selected out of three numbers with replacement, we can calculate the complement of the probability that none of the numbers are selected.
The probability of not selecting a specific number out of three numbers in one draw is (1 - 1/3) = 2/3. Since we are considering replacement, the probability of not selecting that number in three draws is (2/3) * (2/3) * (2/3) = 8/27.
Therefore, the probability of at least one number being selected is the complement of this probability, which is 1 - (8/27) = 19/27.
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**i would appreciate it if someone helped! ** Here is a number pyramid puzzle.
Fill in each blank with a number so that every number
is the product of the two numbers directly below it.
Answer:
*
Step-by-step explanation:
- 96
-8 12
- 4 2 6
4 -1 -2 -3
16 .25 -4 .5 -6
Each circle along with the number to be filled in it is mentioned below.
What is a Number Sequence?Number sequence is a progression or an ordered list of numbers governed by a pattern or rule.
Given is a pyramid puzzle.
The rule to be followed in order to complete this pyramid is as follows "Every number is the product of the two numbers directly below it".
Fill Circle [1] with the number 72.
Fill Circle [2] with the number 6.
Fill Circle [3] with the number 3.
Fill Circle [4] with the number 6.
Fill Circle [5] with the number 0.75.
Fill Circle [6] with the number -2.
Fill Circle [7] with the number 16.
Fill Circle [8] with the number 3.
Fill Circle [9] with the number -6.
Therefore, each circle along with the number to be filled in it is mentioned above.
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bicycle rental company charges a $5 flat fee plus $1.20 per hour. Select the expression that represents renting a bicycle for h hours. A. 5h + 120h B. (5 + 1.20)h C. 5 + 1.20h D. 5h + 1.20
Answer:
a
Step-by-step explanation:
PLEASE HELP
What is the inverse of the function f(x) = 4x + 8? Show your work.
Answer:
x=-2
Step-by-step explanation:
0=4x+8
-4x=8
x=-2
draw the graphs of the lines represented by the equations 3x-4y=1 and 4x-3y=6 in the same graph. also find the coordinates of the point where the two lines intersect
Answer:
I've attached the graph with it, the intersection point is,
x = 3, y = 2
Keng adds a 3-inch-wide frame around all sides of his canvas. Write a polynomial expression, in simplified form, that represents the total area of the canvas and the frame. h+4 h Keng is unhappy with his 3-inch-wide frame, so he decides to put a frame with a different width around his canvas. The total area of the canvas and the new frame is given by the polynomial h + 8h + 12, where h represents the height of the canvas. Determine the width of the new frame.
SHOW ALL MY WORK AND EXPLAIN WHY YOU DID EADH STEP
The difference between the old and new width, 3h - 4 - w, gives the width of the new frame.
How to solveThe initial canvas has dimensions h (height) and w (width). With the 3-inch frame, the total area becomes (h+6)(w+6), since the frame adds 3 inches on each side.
For the new frame, the total area is given by h + 8h + 12. Setting these equal, we get:
(h+6)(w+6) = h + 8h + 12.
Solving for w gives:
w = (9h+12-6h)/6 - 6 = (3h+2) - 6 = 3h - 4.
The difference between the old and new width, 3h - 4 - w, gives the width of the new frame.
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2. List one proportion that is correct and one that is incorrect for AABC and ARST.
<A ? <B 61° <C 90° <R 29° <T 90° <S ?
Correct proportion for AABC: <A <B <C
Incorrect proportion for ARST: <R <T <S
To determine a correct proportion for AABC and an incorrect proportion for ARST, we need to analyze the given information.
1. AABC:
From the given information, we know that <C is a right angle (90°) and <B is 61°. Since the sum of angles in a triangle is always 180°, we can find <A by subtracting the known angles from 180°.
<A = 180° - <C - <B
<A = 180° - 90° - 61°
<A = 29°
Therefore, the correct proportion for AABC is:
<A <B <C
29° <B 61° <C
2. ARST:
The given information states that <R is 29° and <T is a right angle (90°). To find <S, we subtract the known angles from 180° (since it's a triangle).
<S = 180° - <R - <T
<S = 180° - 29° - 90°
<S = 61°
Therefore, the incorrect proportion for ARST is:
<R <T <S
29° <T 61° <S
In conclusion, the correct proportion for AABC is <A <B <C (29° <B 61° <C), while the incorrect proportion for ARST is <R <T <S (29° <T 61° <S).
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What’s the surface area of a square pyramid that has a base length of 5 inches and triangular faces that are 9 inches tall?
T/F: solving a linear programming model and rounding the optimal solution down to the nearest integer value is the best way to solve a mixed integer programming problem.
False. While it may be tempting to round the optimal solution of a linear programming model down to the nearest integer value to solve a mixed integer programming problem, this approach is not always guaranteed to produce an optimal solution.
In fact, mixed integer programming problems require specialized algorithms and techniques that are specifically designed to handle integer variables in the objective function and constraints. These methods search for feasible solutions within the space of integer values, which can be more computationally intensive than solving a linear programming model.
So, while rounding the optimal solution of a linear programming model may sometimes provide a good approximate solution to a mixed integer programming problem, it is not always the best or most reliable way to solve these types of problems.
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Your little brother invented a game inwhich you need to flip a coin and roll a die.Find this probability:P(tails, # > 1)
There are two possible outcomes for flipping a coin: heads or tails. Then, there is a probability of 1/2 of flipping tails.
There are six possible outcomes for rolling a dice: 1, 2, 3, 4, 5 or 6. Then, there is a probability of 5/6 of rolling a number greater than 1.
The probability of flipping tails and rolling a number greater than 1 is the product of the probabilities of these two events happening independently:
\(P(tails,#>1)=\frac{1}{2}\times\frac{5}{6}=\frac{5}{12}\)Therefore, the answer is:
\(\frac{5}{12}\)Select the correct answer. how many moles are contained in 3.131 × 1024 particles? a. 5.199 mol b. 18.85 mol c. 0.5199 × 1023 mol d. 1.885 × 1047 mol
The particles contain 5.199 mol. The result is obtained by dividing the number of particles by the Avogadro number.
What is Avogadro number?Avogadro number is the number of particles contained in 1 mol of any substance. It is 6.022 × 10²³ particles/mol.
The number of particles of a substance can be expressed as
N = n × NA
Where
N = Number of particlesn = Number of molesNA = Avogadro numberThe number of particles of a substance is 3.131 × 10²⁴ particles. Find the number of moles!
With the Avogadro number, the number of moles would be
N = n × NA
3.131 × 10²⁴ = n × 6.022 × 10²³
n = (3.131 × 10²⁴) / (6.022 × 10²³)
n = 0.5199 × 10¹
n = 5.199 mol
Hence, there are 5.199 mol contained in the particles.
The answer is A.
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Fractions 7/8+ 1/5
Evaluate the expression shown below and write your answer as a fraction in simplest form
The simplest form of fraction of the given terms is 43/40.
According to the statement
we have to find that the simplest form of the fraction by evaluating.
So, For this purpose, we know that the
A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole.
The given expression is
7/8+ 1/5
Now, to solve it take a LCM of it then
35+8/40
Now solve the term then the equation become
43/40.
Now, The simple form of the fraction become the 43/40.
So, The simplest form of fraction of the given terms is 43/40.
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Jeffery’s burgers cooks it’s burgers either well done or medium. Last night the restaurant served 8 burgers in all, 6 of which were well done. What percentage of the burgers were well done?
Answer:
75% were well done
Step-by-step explanation:
6*100=600
600/8 = 75
WILL MARK BRAINLIEST! PLEASE HELP!
Write 206 in base 7
Answer:
wut
Step-by-step explanation:
Lines and are parallel lines cut by a transversal. Use the lines and the angles formed to select all that are true statements. Select 3 correct answer(s)
a. Angle 3 and Angle 6 are vertical angles.
b. Angle 1 and Angle 5 are corresponding angles.
c. Angle 6 and Angle7 are vertical angles.
d. Angle 7 and angle 8 are supplementary angles.
e. Angle 2 and angle 4 are alternate interior angles.
f. Angle 1and angle 4 are same side interior angles.
The corrrect statements about angle are:
Angle 1 and angle 5 are corresponding anglesAngle 6 and angle 7 are vertical anglesAngle 7 and angle 8 are supplementary anglesPlease refer to the attached picture below for visualization of the angles.
Based on the attached picture, we can consider the relationship of each angle, such as:
Alternate interior angles and congruent:
Angle 4 and angle 5
Angle 3 and angle 6
Alternate exterior angles and congruent:
Angle 1 and angle 8
Angle 2 and angle 7
Consecutive interior angles and supplementary:
Angle 3 and angle 5
Angle 4 and angle 6
Corresponding angles and congruent:
Angle 1 and angle 5
Angle 2 and angle 6
Angle 3 and angle 7
Angle 4 and angle 8
Vertical angles and congruent:
Angle 1 and angle 4
Angle 2 and angle 3
Angle 5 and angle 8
Angle 6 and angle 7
Supplementary angles:
Angle 1 and angle 2
Angle 3 and angle 4
Angle 5 and angle 6
Angle 7 and angle 8
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Solving quadratic equations using the quadratic formula.
Answer:
what is there supposed to be a picture
Answer:
Down Here ↓↓↓
Step-by-step explanation:
Hello!
Standard Form of a Quadratic: \(ax^2 + bx +c\)
Quadratic Formula: \(x = \frac{-b \pm\sqrt{b^2-4ac}}{2a}\)
To solve a quadratic using the quadratic formula, you have to plug values in for "a", "b", and "c" into the quadratic equation. Let's go over an example question.
Question: \(2x^2 +4x+2\)
Solution:
Determine the values of "a", "b", and "c".
a = 2b = 4c = 2Plug it into the quadratic equation to solve.
Solve:
\(x = \frac{-b \pm\sqrt{b^2-4ac}}{2a}\)\(x = \frac{-(4) \pm\sqrt{(4)^2-4(2)(2)}}{2(2)}\)\(x = \frac{-4 \pm\sqrt{16 - 16}}{4}\)\(x = \frac{-4 \pm\sqrt{0}}{4}\)\(x = \frac{-4}{4}\)\(x = -1\)The value of x is -1.
PLEASE HELP QUICK!!!!
Bernie borrowed b books from his friend Grant's collection of 29 books. What does the expression 29 - b represent?
Pls it’s my geometry final
Find (x) and (y) intercept
I’ve tried rearranging it to (y=mx+c) but i got the wrong answer
Pls help
Answer:
X = (5,0)
Y = (0,-2)
Triangle SAM is congruent to Triangle REN. Find x and y.
\(\measuredangle A\cong \measuredangle E\implies 112=16x\implies \cfrac{112}{16}=x\implies \boxed{7=x} \\\\[-0.35em] ~\dotfill\\\\ \overline{MS}\cong \overline{NR}\implies 41=3x+5y\implies 41=3(7)+5y\implies 41=21+5y \\\\\\ 20=5y\implies \cfrac{20}{5}=y\implies \boxed{4=y}\)
The average score of students in the first group is 39, the second group is 32, and the third group is 43. If the numbers of students in the three groups are 24, 26, and 27, respectively, find the average score of all students.
The average score of all students, calculated by taking a weighted average based on the number of students in each group, is 38. The overall performance is slightly below the group averages.
The average score of students in the first, second, and third groups are 39, 32, and 43, respectively. There are 24 students in the first group, 26 students in the second group, and 27 students in the third group.
To find the average score of all students, we need to take a weighted average of the scores in each group, with the number of students in each group as the weights.
Here's how to do it: First, we calculate the total number of students:24 + 26 + 27 = 77. Then, we calculate the total score across all students: 39*24 + 32*26 + 43*27 = 936 + 832 + 1161 = 2929
Finally, we divide the total score by the total number of students to get the average score:2929/77 = 38. The average score of all students is 38.
This means that the overall performance of all the students is slightly below the average of the scores in each group.
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I need help with this
Answer:
the answer is 3 because I just did that problem and I got the answer right
A crate in the shape of a rectangular prism is 52 centimeters long, 39 centimeters wide, and 24 centimeters high. What is the length of the longest rod that can fit inside the crate? Enter the answer in the box. Round the answer to the nearest hundredth of a centimeter.
The length of the longest rod that can fit inside the crate is 69.29 cm.
The longest length of the rod that can fit inside the crate will be placed diagonally.
Therefore, lets find the diagonal of the rectangular prism.
Diagonal of a rectangular prism:D = √l² + w² + h²where
l = length
w = width
h = height
Therefore,
D = √52² + 39² + 24²
D = √2704 + 1521 + 576
D = √4801
D = 69.2892488053
D ≈ 69.29 cm
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645.059 rounded to the nearest hundredth
Answer:645.06 is the answer
Step-by-step explanation:
Answer:64.06
Step-by-step explanation: I THINK
Consider the following function. f(x) = x²/x² - 81. (a) Find the critical numbers and discontinuities of f. (Enter your answers as a comma-separated list.) X= __ (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing __ decreasing __ (C) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x, y) = ___. relative minimum (x, y) = ___
(a) To find the critical numbers and discontinuities of f(x) = x² / (x² - 81), we first find its derivative f'(x) and check where the denominator equals zero.
f'(x) = [(2x)(x² - 81) - (2x)(x²)] / (x² - 81)², f'(x) = (2x)(-81) / (x² - 81)², Critical numbers are the values of x for which f'(x) = 0. In this case, there are no critical numbers, as the numerator is never equal to zero. Discontinuities occur when the denominator is equal to zero: x² - 81 = 0
x² = 81
x = ±√81
x = ±9
Thus, the discontinuities are x = -9 and x = 9. (b) To find the open intervals on which the function is increasing or decreasing, we analyze the sign of the derivative f'(x). f'(x) is positive when -81(2x) < 0, which occurs in the interval (-∞, -9) ∪ (9, ∞). f'(x) is negative when -81(2x) > 0, which occurs in the interval (-9, 9).
So, the function is increasing on (-∞, -9) ∪ (9, ∞) and decreasing on (-9, 9).
(c) Since there are no critical numbers, there are no relative extrema (maximum or minimum) for this function. So, the answer is DNE for both relative maximum and relative minimum.
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