A survey was conducted at an assembly to determine if an old building should be registered as a historic landmark. Out of the 4,237 people surveyed, 742 people voted that the city should not register the building as a historic landmark.
Assuming the survey was random, what percentage of people in the city would likely vote in favor of registering the old building as a historic landmark?
Enter your answer to the nearest percent in the box.
Answers
Answer:
82%
Step-by-step explanation:
4237-742 = 3495
3495/4237=0.824876
0.824876*100= 82%
Related Questions
Point A is at (5, 6) on the coordinate plane. It is reflected over the y-axis to create point B. Point A is then reflected over both axes to create point C. What is the area of the triangle that results from connecting the three points?
Answers
The area of the triangle which is formed as described is; 60.
What is the area of the triangle formed?According to the task content, when Point A(5,6) is reflected over the y-axis, the point B formed is; (-5,6) and when reflected over both axis, the point C formed is; (-5,-6).
It therefore follows that the length of segments AB and BC which represents the base and height of the triangle formed are; 10 and 12 respectively.
Therefore, the area of the triangle is; (1/2) × 10 × 12 = 60.
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Pls help!
Whoever answers in a few minutes with a clear answer will be marked brainiest!!!
Use exponent laws to write each expression with a positive power
Answers
Answer:
a. \(\tt \frac{1}{9}\)
b. \(\frac{1}{16}\)
c. 4
Step-by-step explanation:
\(\tt a. \:3^{-2}\)
We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\) So, we have:
\(\tt 3^{-2} = \frac{1}{3^2} = \frac{1}{9}\)
\(\hrulefill\)
\(\tt b.\: -2^{-4}\)
We can use the rule that \(\boxed{\tt -a^{-n} = (-1)^n \cdot a^n}.\) So, we have:
\(\tt -2^{-4} = (-1)^4 \cdot 2^{-4} = 1 \cdot \frac{1}{2^4} = \frac{1}{16}\)
\(\hrulefill\)
\(\tt c. \:(\frac{1}{2})^{-2}\)
We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\). So, we have:
\(\tt (\frac{1}{2})^{-2} = \frac{1}{(\frac{1}{2})^2} = \frac{1}{\frac{1}{4}} = 4\)
Answer:
Step-by-step explanation:
(a) 3^-2 = 1/9
(b) (-2)^-4 = 1/(-2)^4 = 1/16
(c) (1/2)^-2 = 1/(1/2)^2=1 / 1/4 = 4
Three candidates are running for class president. On a randomly sampled survey, a student compiled the following data:
For every 3 students that preferred candidate A, 2 preferred candidate B.
For every 7 students that preferred candidate C, 5 preferred candidate B.
According to the data from the survey, which candidate will win the election?
Answers
In the given probability, candidate A is the winner of the election based on the survey results. (Option A).
How to Solve the Probability?To determine which candidate will win the election, we need to compare the number of students who prefer each candidate based on the survey results. Let's start by assigning some variables:
Let A be the number of students who prefer candidate A.
Let B be the number of students who prefer candidate B.
Let C be the number of students who prefer candidate C.
According to the survey results:
For every 3 students that preferred candidate A, 2 preferred candidate B. This means that the ratio of A to B is 3:2, or A/B = 3/2.For every 7 students that preferred candidate C, 5 preferred candidate B. This means that the ratio of C to B is 7:5, or C/B = 7/5.We can use these ratios to express A and C in terms of B:
A/B = 3/2 => A = (3/2)B
C/B = 7/5 => C = (7/5)B
Now we can substitute these expressions for A and C into the equation for the total number of students who responded to the survey:
A + B + C = total number of students
Substituting (3/2)B for A and (7/5)B for C, we get:
(3/2)B + B + (7/5)B = total number of students
Multiplying through by the least common multiple of the denominators, which is 10, we get:
15B + 10B + 14B = 10(total number of students)
Simplifying, we get:
39B = 10(total number of students)
So the total number of students is a multiple of 39/10. Since the number of students must be an integer, this means that the total number of students must be a multiple of 39.
Now let's consider each candidate's share of the vote based on the survey results. Candidate A has (3/5) of the votes that candidate B has, and candidate C has (7/5) of the votes that candidate B has. Adding these up, we get:
A/B + C/B + B/B = (3/5) + (7/5) + 1 = 3
So the three candidates together have 3 times the number of votes that candidate B has. Therefore, candidate B has 1/3 of the total votes.
Substituting B = (1/3)(total number of students) into the expressions for A and C, we get:
A = (3/2)(1/3)(total number of students) = (1/2)(total number of students)
C = (7/5)(1/3)(total number of students) = (7/15)(total number of students)
So candidate A has half of the total votes, candidate B has one third, and candidate C has seven fifteenths. Therefore, candidate A is the winner of the election based on the survey results.
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daniel picked 7 pounds of strawberry he wants to share the strawberry equally among three of his friends how many pounds of strawberries will each friend receive ?
Answers
Diana, this is the solution to the problem:
• Amount of strawberry Daniel picked = 7 pounds
,• Number of friends = 3
• Amount of strawberry that each friend will receive = Amount of strawberry Daniel picked/Number of friends
Replacing by the values we know:
• Amount of strawberry that each friend will receive = 7/3
,• Amount of strawberry that each friend will receive = 2.33 pounds
Look at the inequality below.
−6 ≥ 13 + 5×
Which of these values of x makes the inequality true?
A -3.9
B -1.2
C -7/15
D 3/13
Answers
Answer:
a -3.9
Step-by-step explanation:
Subtract 13 from both sides which makes it -19 > 5x. then divide by 5 on both sides
What’s the correct answer answer asap for brainlist
Answers
Answer: serbia
Step-by-step explanation:
If you used a random number generator for the numbers from 1 through 20 to play a game, what is the theoretical probability of getting each of these outcomes?
a. A multiple of 3 or a multiple of 7, P(multiple of 3 or multiple of 7)
b. P(even or odd)
c. P(prime or 1)
Answers
Answer: See below
Step-by-step explanation:
Game 1:
20 total numbers
Probability = Multiples of 3 and 7/Total Numbers
P = 8/20
P = 2/5 or 40%
Game 2:
20 total even or odd numbers
Probability = Number of even and odd/Total Numbers
P = 20/20
P = 1 or 100%
Game 3:
8 prime numbers and 1 = 9 total
Probability = Number of prime numbers or 1/Total Numbers
P = 9/20 or 45%
a) The probability of a multiple of 3 or a multiple of 7 is 40%.
b) The probability of even and odd is 100%.
c) The probability of the number being prime is 45%.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Game 1:
20 total numbers
Probability = Multiples of 3 and 7/Total Numbers
P = 8/20
P = 2/5 or 40%
Game 2:
20 total even or odd numbers
Probability = Number of even and odd/Total Numbers
P = 20/20
P = 1 or 100%
Game 3:
8 prime numbers and 1 = 9 total
Probability = Number of prime numbers or 1/Total Numbers
P = 9/20 or 45%
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In Evans history class, 10 out of 100 key terms will be randomly selected to appear on the final exam; Evan must then choose 7 of those 10 to define. Since he knows the format of the exam in advance, Evan is trying to decide how many key terms he should study. (a) Suppose that Evan decides to study s key terms, where s is an integer between 0 and 100. Let X be the number of key terms appearing on the exam that he has studied. What is the distribution of X? Give the name and parameters, in terms of s. (b) Calculate the probability that Evan knows at least 7 of the 10 key terms that appear on the exam, assuming that he studies s = 75 key term
Answers
Answer:
(a) Hypergeometric distribution
(b) 0.785384...
Step-by-step explanation:
(a) looking at the question, we see that \(X = \in \{0, ... , 10 \}\), suppose Evans studied s key terms, this implies that he has not studied 100 - s key terms. Suppose \(k = \in \{0, ... , 10 \}\) if X = k, then k out of the s key terms he had studied appeared. But 10 - k out of 100 - s key terms he hasn't studied appeared. Thus X is an Hypergeometric distribution, X~HGeom(s, 100 - s, 10) with PMF:
\(P_{x}(k) = P(X = k)\)
Which equation represents this number sentence?
Two less than one-fourth of a number is 10.
Answers
Answer:
1/4n-2=10
Step-by-step explanation:
if the dilation of K(-2,4) equals K'(1,-2), the scale factor used for the dilation is
Answers
Answer:
-1/2
Step-by-step explanation:
We know
The dilation of K(-2,4) equals K'(1,-2)
To get from -2 to 1, we time -1/2
To get from 4 to -2, we time -1/2
So, the scale factor used for the dilation is -1/2
For Serenity's lemonade recipe, 4 lemons are required to make 5 cups of lemonade. At what rate are lemons being used in lemons per cup of lemonade?
Answers
For Serenity's lemonade recipe, the lemons being used per cup of lemonade is 0.8
What is ratio?Ratio is a comparison of two quantities that are expressed in relation to each other. Ratios are typically expressed in the form of a fraction, with the numerator representing one quantity and the denominator representing the other quantity.
According to question:To find the rate at which lemons are being used in lemons per cup of lemonade, we need to calculate the ratio of lemons used to cups of lemonade.
According to the recipe, 4 lemons are required to make 5 cups of lemonade. So the rate of lemons used is:
4 lemons / 5 cups = 0.8 lemons per cup of lemonade
This means that for every cup of lemonade, 0.8 lemons are used.
Alternatively, we can also express this rate as a fraction, which gives us:
0.8 lemons / 1 cup of lemonade
Either way, the rate of lemons used is 0.8 lemons per cup of lemonade.
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3. Suppose that a parabola has
x-intercepts (-3,0) and (2,0) and goes
through the point (-1,12). Which
quadratic function represents the parabola
in factored form?
A
y=-(2 - 3)(x + 2)
B
y= -2(x − 3)(x + 2)
Y= -2(x+3)(2 – 2)
D.
y= (2 + 1)(x - 2)
Answers
Answer:
C. I used to not get this but now I do. hope I helped
I need help asap....
Answers
Answer:
Step-by-step explanation:
From the given picture,
Given : l₁ and l₂ are the parallel lines and ∠2 ≅ ∠4
To prove: ∠1 ≅ ∠4 and ∠4 ≅ ∠3
Statements Reasons
1). l₁ ║ l₂ and ∠2 ≅ ∠4 1). Given
2). ∠1 ≅ ∠2 2). Vertical angle theorem
3). ∠1 ≅ ∠4 3). Given
4). ∠1 ≅ ∠3 4). Corresponding angle theorem
5). ∠4 ≅ ∠3 5). Transitive property of congruence
Which is equal to 47
__
5
Answers
•
•
•
5x9= 45 remainder3 which means it 9 3/5
Factor: 3x² - 20x + 32
Answers
Answer:
(3x+4)(x−8)
Step-by-step explanation:
A total of 27 students are in your class. There are nine more males than females.
How many females are in your class?
Answers
which of the following is most likely the next step in the series
Answers
Answer:
A.
Step-by-step explanation:
Let's think of this as a clock. We can see that the 2 lines start in the same place, around 3 o'clock. Next, one of the line segments shifts down to around 6 o'clock. Next, it shifts to about 9 o'clock. Logically, the next step (in a clock) would be 12 o'clock, making A the correct choice.
We can also just use a regular circle, with one of the line segments moving 90 degrees each time.
Hope this helps! :)
miss rose teaches three ballet classes. her students' data are shown in the relative frequency table. which statement is true?
A. 20% of her students are in the intermediate class.
B. 25% of her students are in the beginner class.
C. 60% of her students are boys.
D. 15% of her students are girls.
Answers
use the diagram below to find all missing angles
Answers
Answer:
Step-by-step explanation:
Soooo, angle 1 is 157 degrees
That means:
Angle 2 is 23 degrees Supplementary Angles
Angle 3 is 157 degrees Vertical Angle to Angle 1
Angle 4 is 23 degrees Vertical angle to Angle 2
Answers:
angle 2 = 23 degreesangle 3 = 157 degreesangle 4 = 23 degrees=======================================================
Explanation:
Angles 1 and 2 are supplementary as they form a straight line. So the angles add to 180
(angle1)+(angle2) = 180
angle2 = 180-(angle1)
angle2 = 180-157
angle2 = 23 degrees
Angle 4 is congruent to this because angles 2 and 4 are vertical angles. Vertical angles are always congruent. Note how angles 1 and 4 are supplementary.
Since angles 1 and 3 are the other pair of vertical angles, this must mean angle 3 is 157 degrees.
There is a bag with 50 popsicles inside. 5
are red, 15 are orange, 12 are blue, 8 are
yellow and 10 are purple. If you were to
grab one popsicle from the bag, what is
the probability that it is red or not orange?
P(red or not orange)
Answers
Answer: \(\frac{6}{25}\)
In this case, we're asked to pick one of 12 blue popsicles out of a bag of 50 – from this, we can just write that the probability of picking a blue popsicle is 12/50. Simplifying this, we can divide both the numerator and denominator by 2 to get our final answer of \(\frac{6}{25}\)
Hope this helped you!
Step-by-step explanation:
The graph of y = |2x – 2| – 4 is shown. On a coordinate plane, an angled line opens up. It approaches the grid line at (negative 4, 6), crosses the x-axis at (negative 1, 0), the y-axis at (0, negative 2), has a vertex of (1, 4), and crosses the x-axis at (3, 0). Which statement about the graph is accurate
Answers
The statement about the graph that is accurate A y-intercept of the graph is (0, –2).
How to solveThe y-intercept of a graph is the point where the graph crosses the y-axis. In other words, it's the point where x = 0.
The given description mentions that the graph crosses the y-axis at (0, -2).
This clearly indicates that the graph has a y-intercept at (0, -2). None of the other statements align with the given description.
For instance, the graph doesn't have an x-intercept at (0, 3), and it doesn't have two y-intercepts.
It does have x-intercepts, but at (negative 1, 0) and (3, 0).
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Given that a+b = 10 and a square - b square = 40 find the value of a-b
Answers
Answer:
the value of a - b is 4.
Step-by-step explanation:
We have been given the following two equations:
a + b = 10 ------------(1)
a² - b² = 40 -------(2)
We can factor the left-hand side of equation (2) using the difference of squares identity:
(a + b)(a - b) = 40
Substituting equation (1) into this equation, we get:
10(a - b) = 40
Dividing both sides by 10, we get:
a - b = 4
Therefore, the value of a - b is 4.
Step-by-step explanation:
if I understand this correctly :
a + b = 10
a² - b² = 40
(a² - b²) = (a + b)(a - b) = 40
10(a - b) = 40
(a - b) = 4
8. Use Patterns and Structure What is the minimum side length needed to complete the triangle? Explain.
Answers
The minimum side length of the triangle needed to complete the triangle is 5 feet.
What is a Triangle?A polygon that has three sides and three vertices is called a triangle.
The sum of all the angles of the triangle is 180°.
Given:
The two sides of the triangle are 7 feet and 3 feet.
Let a = 7 and b = 3.
The minimum possible value,
= Max(a, b) - Min(a, b) + 1
= 7 - 3 + 1
= 5 feet.
Therefore, the minimum length is 5 feet.
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a line is perpendicular to y=-15/x+1 and intersects the point (-5, 1)
Answers
The equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.
The given line has a slope of -1/5. The slope of any line perpendicular to this line will be the negative reciprocal of this slope, which is 5.
We also know that the perpendicular line passes through the point (-5, 1).
We can use the point-slope form of a linear equation to find the equation of the perpendicular line:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is the point the line passes through.
Plugging in the values, we get:
y - 1 = 5(x + 5)
Simplifying and rearranging, we get:
y - 1 = 5x + 25
y = 5x + 26
Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.
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Complete question -
a line perpendicular to y=-1/5x+1 and intersects the point (-5,1) what is the equation of this perpendicular line
solve the following inequality for real values of x, expressing tour solution set in interval notation....
\(2x - 5 \leqslant 2x - 1\)
Answers
Answer:
\(solution \: true \: for \: all \: x \\ interval \: notation \: ( - \infty . \infty )\)
Step-by-step explanation:
Greetings !
Given expression
\(2x - 5 \leqslant 2x - 1\)
subtract 2x from both sides
\(2x - 5 - 2x \leqslant 2x - 1 - 2x\)
simplify
\( - 5 < - 1\)
Therefore, the solution is
True for all x.
Hope it helps!
Select all of the following tables which represent y as a function of x
.
Answers
The ordered pairs that represents a function y in terms of x are {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}
Linear functionsA set of ordered equation represents a linear function if the domain of the coordinates are not repeated.
For instance, the ordered pairs that is a function are the coordinates that do not have any repeated y-coordinates.
From the given linear functions, the ordered pairs that represents a function y in terms of x are {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}
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The average yearly salary of a lawyer is $26 thousand less than twice that of an architect. Combined, an architect and a lawyer earn $214 thousand. Find the average yearly salary of an architect and a lawyer.
Answers
The architect earns $47000 yearly and the lawyer earns $68,000 yearly.
How to solve algebra problems?
Let x = salary of architect, in thousands
Let 2x - 26 be the salary of lawyer, in thousands
Thus, if their salary combined is $214 thousand, then we have the algebra expression;
2x + 2x - 26 = 214
4x - 26 = 214
4x = 214 - 26
4x = 188
x = 47, in thousands.
The architect earns $47000 yearly
The lawyer earns 2(47000) - 26000 = $68,000 yearly
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Brenda is considering renting a car for the weekend. The weekend daily rate is $29.99. If she plans
on picking up the car on Friday morning and returning it Sunday evening, what is her total rental cost?
5. What name is given to the price dealerships pay for vehicles
Answers
Answer:
59.99
Step-by-step explanation:
superwetmonsterexpo
Answer:
89.97
Step-by-step explanation:
29.99 * 3 = 89.97
Which inequality represents this sentence?
A number is no less than 48.
n < 48
n > 48
n < 48
n>48
Answers
The inequality that can be used to represent the information that a number is no less than 48 will be n > 48.
Inequality simply means a mathematical expression that is used in which the sides aren't equal to each other.
It should be noted that the expression that a number is no less than 48 means the number is greater than 48. Therefore, the inequality is n > 48.
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Answer: The correct answer is n≥48
Step-by-step explanation: Give me the brainiest
45 (Two yertices of right triangle PQR are shown on the coordinate plane below. G) (t, fel 5 p=2,-6 2 3 4 5 6 7 823) Р 3 2 Q=2,3 6-5 -4 -3 -2 2 3 4 5 6 Q3 WN 8x2016 (- -) -2 -3 4 5 6| C-st) Qw ( Part A: What is the length, in units, of side PQ? Answer: 169 units Vertex R is located at (3,-2). Part B: What is the area, in square units, of triangle PQR? Show or explain how you know.
Answers
Given vertices have the next coordinates (x,y):
P(-6,2)
Q(3,2)
PART A: As the given vertices have the same y-coordinate, the distance is the difference between x-coordinates:
\(\begin{gathered} PQ=3-(-6) \\ PQ=3+6 \\ PQ=9 \end{gathered}\)Then, the length of side PQ is 9 unitsPART B: To find the area of the trinagle use the vertex R and vertex Q (they share the same x-coordinate) to find the height of the triangle:
The length of side QR is equal to the difference between y-coodinates of the vertices Q and R:
\(\begin{gathered} QR=2-(-2) \\ QR=2+2 \\ QR=4 \end{gathered}\)As you can see in the calculations above and in the image the length of he base of the triangle (side PQ) is 9 units, and its hight (Side QR) is 4 units; use the base and hight to find the area as follow:
\(\begin{gathered} A=\frac{1}{2}b*h \\ \\ A=\frac{1}{2}(9u)(4u) \\ \\ A=\frac{1}{2}(36u^2) \\ \\ A=18u^2 \end{gathered}\)Then, the area of the given triangle is 18 square units