On a map with a scale of 1 : 50000 , the distance between two adjacent farmhouses is 3.2cm.What is the corresponding distance on the ground in kilometers.(
Answer:
1.6 kilometres
Step-by-step explanation:
Well, multiply 3.2cm with 50000 and there's your answer. That's the point of the scale, it gives you a quick and easy way to convert distances on the map to distances in nature.
I'll make it even easier for you, I'll convert to kilometers. You have centimeters on map, so take 2 zeros off and you have meters, take 3 more zeros off, and you have kilometers. That makes it 3.2*0.5 which is 1.6 kilometers, or approximately one american imperial mile.
the z value for a 97.8% confidence interval estimation is
The z value for a 97.8% confidence interval estimation is determined as 2.29.
What is the z value for a 97.8% confidence?The z value for a 97.8% confidence interval estimation is calculated as follows;
The find the Z score, go to a Z lookup table which is found in a textbook or on an internet source. z table is created to give the possibility in a one-tailed analysis.
A confidence interval is a two-tailed examination, in order to prepare the z score for 97.8%, look up the probability of 98.9%.
The value of 98.9% is
= (0.978 + 1 )/ 2
= 0.989 or 98.9%.
This implies that the z score of the date is 2.29.
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Find the missing number:
√25 x √25 = 25 x?
(A) 1
(B) 5
(C) 10
(D) 25
Step-by-step explanation:
since sqrt(25)×sqrt(25) = 25, then x can be any number, because x = x in all cases. and then both sides of the equation are always equal, no matter what value we give x, as long as x is a factor in both sides.
sqrt(25)×x×sqrt(25) = 25x
is always true for every x.
if the question would be
sqrt(25)×x×sqrt(25) = 25
then the answer can only be x = 1. because for every other value of x the equality is destroyed.
The area of a circle is 47. 76 square meters. What is the approximate length of its radius
Answer:
3.9 m²
Step-by-step explanation:
The full number is 3.89904 square meters.
Please tell me whether or not it is correct :)
Find a pair of adjacent angles:4 and 14Find a pair of vertical angles:233 and 21)
SOLUTION
By definition, adjacent angles are (of a pair of angles) formed on the same side of a straight line when intersected by another line.
Vertical Angles are the angles opposite each other when two lines cross.
Going by this above definition, a pair of adjacent angles in the figure in Q1 are:
4 and 2.
Going by this above definition, a pair of vertical angles in the figure in Q1 are:
3 and 2.
What is the volume of the rectangular prism shown below?
A. 224 in³
B. 320 in³
C. 512 in³
D. 5,120 in³
Answer:
\(\boxed{\sf{5120\ in^3}}\)Step-by-step explanation:
Solution:
Volume of the rectangular prism formula:
\(: \Longrightarrow \sf{V=l*w*h}\)
Given:
Length: 32 inWidth: 10 inHeight: 16 inThen, you multiply.
\(\sf{32*10*16=\boxed{\sf{5120}}\)
Therefore, the correct answer is "D. 5120 in³".Answer:
D
Step-by-step explanation:
Pls help!
In a video game each player earns 5 pts for reaching the next level and 15 pts for each coin collected. Make a table to show the relationship between the num of coins collected c and total pts p graph the ordered pairs and analyze the graph.
Answer:
Here is a table showing the relationship between the number of coins collected and the total points earned:
Number of coins (c) Total points (p)
0 0
1 20
2 35
3 50
4 65
5 80
6 95
7 110
8 125
9 140
10 155
To graph these ordered pairs, we can plot the number of coins collected (c) on the x-axis and the total points earned (p) on the y-axis. Then we can plot each ordered pair as a point on the graph and connect the points with a line. The resulting graph should show a linear relationship between c and p, with a slope of 15 and a y-intercept of 0.
Analyzing the graph, we can see that as the number of coins collected increases, the total points earned also increases at a constant rate. This suggests that collecting coins is an important part of the game, as it significantly increases the player's total score. Additionally, the slope of the line (15) tells us that each additional coin collected is worth 15 points, while reaching the next level is worth only 5 points.
I know the answer but I need the angle name pls hurry
Answer:
S
angle S would also be an obtuse angle measuring 118°
corresponding angle
Step-by-step explanation:
Answer:
s.
Step-by-step explanation:
s is a corresponding angle to the 118 angle.
The mathematical comparison of your experimental results to a known value is known as _______________.
The mathematical comparison of your experimental results to a known value is known as Percentage error.
According to the statement
We have to tell the term about the experimental value and the known value comparison.
So, For this purpose, we know that the
when we compare the known value with the comparison va;ue and by this way we find the percentage error.
So,
Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage.
And by this way we find that the experimental value is correct or not.
Because when the percentage error is increased then experimental value stated as false values.
So, The mathematical comparison of your experimental results to a known value is known as Percentage error.
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3. What is the volume of the prism shown?
5.27 in
8.13 in
9.69 in
6.81 in
The volume of the prism shown is equal to 145.89 cubic inches.
How to calculate the volume of a triangular prism?In Mathematics and Geometry, the volume of a triangular prism can be determined or calculated by using the following formula:
Volume of triangular prism, V = 1/2 × b × h.
Where:
b represent the base area of a triangular prism.h represent the height of a triangular prism.By substituting the given dimensions (side lengths) into the formula for the volume of a triangular prism, we have;
Volume of triangular prism, V = 1/2 × 5.27 × 8.13 × 6.81
Volume of triangular prism, V = 291.775131/2
Volume of triangular prism, V = 145.89 cubic inches.
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The volume of the prism is 145.89 cubic inches.
To find the volume of a prism, multiply the area of the base by the height of the prism.
We know the formula for the volume of a triangular prism is:
\(V = \frac{1}{2}\times b \times h\)
Where:
b represent the base area of a triangular prism.
h represent the height of a triangular prism.
Therefore, we can calculate the volume of the prism by cubing the length of one of its sides:
\(V = \frac{1}{2}\times 5.27\times 8.13 \times 6.81\)
\(V= \frac{291.775131}{2}\)
\(V = 145.89\) cubic inches.
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Electricty what is the voltage V of an electron circuit with a current C of 2-j and an impedence i of 3+2j? Use the formula v=ci
The value of the voltage of the electricity is 6 + j + 2j²
How to determine the voltage of the electricity?From the question, we have the following parameters that can be used in our computation:
C = 2 - j
I = 3 + 2j
The formula of voltage is given as
V = CI
Substitute the known values in the above equation, so, we have the following representation
V = (2 - j) * (3 + 2j)
Open the brackets
So, we have
V = 6 + 4j - 3j + 2j²
Evaluate the like terms
V = 6 + j + 2j²
Hence, the voltage is 6 + j + 2j²
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Consider the LP below. The BFS ("corners") are (0,0) (0,4) (1,4) (3,2) (3,0). The optimal solution is at x_{1} = 3 and x_{2} = 2
max z = 2x_{1} + x_{2}
s.t.
matrix x 1 +x 2 &<= 0 \\ x 1 &<=3\\ x 2 &<4 matrix
x_{1}, x_{2} >= 0
(a). What is the range of c_{1} the objective coefficient of x_{1} (currently 2) for which this BFS remains optimal:
(b). What is the range of b_{2} the right hand side of the second constraint (currently 3) for which this BFS remains optimal:
(c). What is the dual price of the second constraint?
(a) The range of c₁ (the objective coefficient of x₁) for which this BFS remains optimal is c₁ ≤ 2.
(b) The range of b₂ (the right-hand side of the second constraint) for which this BFS remains optimal is 3 ≤ b₂ < 4.
(c) The dual price of the second constraint is 0.
(a) The optimality condition for a linear programming problem requires that the objective coefficient of a non-basic variable (here, x₁) should not increase beyond the dual price of the corresponding constraint. In this case, the dual price of the second constraint is 0, indicating that increasing the coefficient of x₁ will not affect the optimality of the basic feasible solution. Therefore, the range of c₁ for which the BFS remains optimal is c₁ ≤ 2.
(b) The range of b₂ for which the BFS remains optimal is determined by the allowable range of the corresponding dual variable. In this case, the dual price of the second constraint is 0, implying that the dual variable associated with that constraint can vary within any range. As long as 3 ≤ b₂ < 4, the dual variable remains within its allowable range, and thus, the BFS remains optimal.
(c) The dual price of a constraint represents the rate of change in the objective function value per unit change in the right-hand side of the constraint, while keeping all other variables fixed. In this case, the dual price of the second constraint is 0, indicating that the objective function value does not change with variations in the right-hand side of that constraint.
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SB
Compare the process of solving
|x - 11 +1 < 15 to that of solving
|x - 11 +1 > 15.
DONE
Answer:
x = 0
Step-by-step explanation:
i) x - 11 + 1 < 15
x - 10 < 15
x < 10 + 15
x < 25
ii) x - 11 + 1 > 15
x - 10 > 15
x > 25
Therefore to compare (i) and (ii)
25 < x < 25
In any case, x = 0
Using the graph shown below, describe the combination of transformations that maps AABC on to AA"B" C".
Explanation:
First we have to see that there's a first transformation from triangle ABC to triangle A'B'C'. This first transformation is a translation. Since the units are not shown in the graph I can only tell the direction of the translation: it's a translation to the right and down (more units to the right than down).
Then there's a final transformation from triangle A'B'C' to triangle A''B''C'', which is a reflection over the y-axis
Answer:
0. Translation to the right and down
,1. Reflection over the y-axis
A rectangular sticker has an area of 10 square centimeters. the function f(x) = 10/x models the width f of the sticker, in centimeters,, when the length is x centimeters. Graph the function and identify the horizontal asymptote.
Answer:
The graph is attached and the horozontal asymptote is 1
Step-by-step explanation:
When you graph the function this is the graph you get. You can see that the top line gets close but does not touch the 1. For that reason 1 is the horizontal asymptote.
Which of the following is NOT a restatement of Euclid's Fifth Postulate? Two parallel lines are equidistant. a. b. If a line intersects one of two parallel lines, then it intersects the other. The sum of the angles of a triangle is less than 180°. C. d. Through a point P not on a line 7, there exists exactly one line parallel to 7.
"The sum of the angles of a triangle is less than 180°" is not a restatement of Euclid's Fifth Postulate. the fifth postulate holds, and it is used to establish many properties of parallel lines and related theorems, such as the interior angles of a triangle adding up to 180 degrees.
Euclid's Fifth Postulate, also known as the parallel postulate, states that if a line intersects two other lines and the sum of the inner angles on one side is less than 180°, then those two lines will eventually meet on that side. On the other hand, the sum of the angles of a triangle is a property of Euclidean geometry that can be derived from other postulates and axioms. "If a straight line intersects two other straight lines in such a way that the sum of the interior angles on one side is less than two right angles, then the two lines, if extended indefinitely, will eventually intersect on that side."
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The sum of the angles of a triangle is less than 180°.
This statement is not a restatement of Euclid's Fifth Postulate. Euclid's Fifth Postulate, also known as the parallel postulate, states that if a line intersects one of two parallel lines, then it intersects the other. This postulate deals with the concept of parallel lines and their intersections. On the other hand, the statement about the sum of angles in a triangle being less than 180° is a property of Euclidean geometry that is derived from other postulates and theorems, but it is not directly related to the concept of parallel lines.
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please help me to solve problems
Step-by-step explanation:
ajhai ans Pani chaiyo ki sabai ko ans pathau
Firstly, a key fact to keep in mind is Angles in a triangle equals 180⁰.
a. x+60⁰+30⁰=180⁰
x+90⁰=180⁰
x=180⁰-90⁰
x=90⁰
b. x+3x+40⁰=180⁰
collect like terms
4x+40⁰=180⁰
4x=180⁰-40⁰
4x=140⁰
Divide both sides by 4
x=35⁰
c. x+(x+7)+(x+5)=180⁰
3x+12=180⁰
3x=180⁰-12
3x=168⁰
x=168⁰÷3
x=56⁰
d. 52+x+y=180⁰
keeping in mind, two sides of this triangle are equal...
180⁰-52⁰=128⁰
128⁰÷2=64⁰
x=64⁰
x=64⁰ y=64⁰
e. b+a+90⁰=180⁰
right angled triangle
180⁰-90⁰=90⁰
90⁰÷2=45⁰
b=45⁰
b=45⁰ a=45⁰
f. Angles on a straight line equals 180⁰
180⁰-130⁰=50⁰
x=50⁰
Back to the triangle, in which two are equal,
50⁰+x+y=180⁰
180⁰-50⁰=110⁰
110⁰÷2=55⁰
y=55⁰
y=55⁰ z=55⁰
To be honest, I don't know how to solve the last two questions, hope I was helpful, if you wish, please mark BRAINLIEST.
You're selling tickets to a school play priced at $5 for students, $10 for parents, and $20 for general admission. The total sales are $2,500, you sell twice as many parent tickets as student tickets, and you sell 10 more student tickets than general admission. How many of each ticket did you sell?
Answer:
250 $3 tickets and 100 $2 tickets were sold.
Answer:
1) 60 students, 120 parents, and 50 general admission
2) there are infinite real solutions
3) (29,2,20)
4) (20,60,32)
Step-by-step explanation:
did the quick check
True or False: When conducting a cluster sample, it is better to have fewer clusters with more individuals when the clusters are heterogeneous
Answer: True
Step-by-step explanation: This statement is true because when clusters are heterogeneous they are a "scaled-down version" of the population sampled. I hope this helped!
Answer:true
Step-by-step explanation:
The heights of a certain breed of dogs has a normal distribution with a mean of 28 inches and a standard deviation of 4 inches. If we randomly select 64 of these dogs, what is the probability that the mean height of 64 dogs is: a) Less than 27 inches? b) Greater than 28.5 inches? c) Between 27 and 28.5 inches?
The probability that the mean height of 64 dogs is between 27 and 28.5 inches is approximately 0.8531.
We can use the central limit theorem to approximate the distribution of the sample mean. The central limit theorem states that if we take a large enough sample from a population, the sample mean will be approximately normally distributed with mean equal to the population mean and standard deviation equal to the population standard deviation divided by the square root of the sample size. In this case, we have:
Population mean (μ) = 28 inches
Population standard deviation (σ) = 4 inches
Sample size (n) = 64
a) To find the probability that the mean height of 64 dogs is less than 27 inches, we need to standardize the sample mean and find the corresponding area under the standard normal distribution. We have:
z = (sample mean - population mean) / (population standard deviation / sqrt(sample size))
z = (27 - 28) / (4 / sqrt(64))
z = -2
Using a standard normal distribution table or calculator, we find that the probability of z being less than -2 is approximately 0.0228. Therefore, the probability that the mean height of 64 dogs is less than 27 inches is approximately 0.0228.
b) To find the probability that the mean height of 64 dogs is greater than 28.5 inches, we standardize the sample mean and find the area to the right of the standardized value. We have:
z = (sample mean - population mean) / (population standard deviation / sqrt(sample size))
z = (28.5 - 28) / (4 / sqrt(64))
z = 1
Using a standard normal distribution table or calculator, we find that the probability of z being greater than 1 is approximately 0.1587. Therefore, the probability that the mean height of 64 dogs is greater than 28.5 inches is approximately 0.1587.
c) To find the probability that the mean height of 64 dogs is between 27 and 28.5 inches, we need to find the area under the standard normal distribution between the two standardized values. We have:
z1 = (27 - 28) / (4 / sqrt(64))
z1 = -2
z2 = (28.5 - 28) / (4 / sqrt(64))
z2 = 1
Using a standard normal distribution table or calculator, we find that the probability of z being between -2 and 1 is approximately 0.8531. Therefore, the probability that the mean height of 64 dogs is between 27 and 28.5 inches is approximately 0.8531.
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The graph of the function f(x)=x^2-4x+6 is shown here. What is it’s axis of symmetry
Answer:
x = 2
Step-by-step explanation:
Since you didn't attach an image of the graph I'll have to do this the long way and use a strategy called "completing the square" to find the vertex. The x-coordinate of the vertex is the axis of symmetry.
x² - 4x + 6
= (x - 2)² - 4 + 6
= (x - 2)² + 2, therefore the vertex is (2, 2) so the axis of symmetry is x = 2.
In 1992, the moose population in a park was measured to be 3590. by 1999, the population was measured again to be 4500. if the population continues to change linearly p(t)= ____ b.) what does your model predict the moose population to be in 2006?
population at 1992 = 3590
Population after Seven years (1999) = 4500
Given two points (t1, P1) and (t2, P2), the slope of the line m can be found.
p1 = (1992, 3590) and p2 = (1999, 4500)
m= ΔP/Δt
m= ((4500-3590))/((1999-1992))
m = 910/7
m=130 is the slope
The linear population function P(t) is
P(t)=130t + P0
Find the Y-Intercept P0
The population function P(t) is measured since the year 1990, year zero. The first moose population was measured in 1992, one year later. This provides an initial condition P (1) = 4500.
P (1) =130 (1) + P0 = 4500
P0 = 4370
P(t)=20t+4630
The moose population P(t) changes linearly year after year. The population function P(t) is measured in terms of t years since 1990.
t= 1990, P (0) =4370
t =1992, P (1) =130 (1) + 4370 = 4500 matches data
t=1999, P (2) = 130(2) + 4370 = 4630
t=2006, P (3) = 130(3) + 4370 = 4760
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9 pls pls pls help meeee!
Answer:
not possible
........................................
For a research project, students are asked to study how often students at an online high school look at social
media while doing schoolwork.
1. Sofie decides to develop a survey.
(a) Give an example of a question she could ask on her survey.
(b) How could Sofie select a simple random sample of students to take her survey?
(c) She gives out 80 surveys but receives only 32 completed surveys. What are the sample and
population for Sofie’s research?
(d) Of the 32 students who completed surveys, 16 said they use social media while doing schoolwork. If
Sofie uses only the completed surveys, what conclusion could she make about the percent of all high
school students who use social media while doing schoolwork?
(a) Example question: "How often do you look at social media while doing schoolwork?
(b) Sofie can select a simple random sample of students by using a random number generator to assign a unique identification number to each student in the online high school.
(c) The sample for Sofie's research is the 32 completed surveys she received. These surveys represent the responses of a subset of the population. The population, in this case, refers to all the students at the online high school.
(d) If Sofie uses only the completed surveys, she can conclude that approximately 50% (16 out of 32) of the students who completed the survey reported using social media while doing schoolwork.
(a) Please select one of the following options: never, rarely, occasionally, frequently, or always."
(b) She can then use the random number generator again to select a specific number of students from the entire population of students, ensuring that each student has an equal chance of being selected. For example, if there are 500 students in total and Sofie wants a sample size of 50, she can generate 50 random numbers and select the corresponding students based on their identification numbers.
(d) However, it is important to note that this conclusion is specific to the sample of completed surveys and cannot be generalized to the entire population of high school students.
To make an inference about the percent of all high school students who use social media while doing schoolwork, Sofie would need a larger and more representative sample that covers a wider range of students in the online high school.
Additionally, she should consider potential biases in the sample, such as non-response bias if the students who chose not to complete the survey have different social media usage patterns compared to those who did respond.
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In physics, the equation = is called the ideal gas law. It is used to approximate
the behavior of many gases under different conditions.
, , and represent pressure, volume, and temperature, represents the number of
moles of gas, and is a constant for the ideal gas.
Which equation is solved for ?
A./ =
B./ =
C. = −
D. = T
Answer:
It's look like the answer is letter D. = TExplanation:
Well, Hope it helps you..
Y-your welcome in advance..
(;ŏ﹏ŏ)(ㆁωㆁ)
What do linear pairs make
meridians of identify degrees east and west of the . these lines are / are not (circle) scientifically based. why/why not?
The meridians of longitude identify the degrees east and west of the Prime Meridian. These lines are scientifically based because they are determined by the Earth's rotation and provide a consistent and accurate system for navigation, mapping, and timekeeping.
1. The meridians of longitude are imaginary lines that run vertically from the North Pole to the South Pole on the Earth's surface.
2. The Prime Meridian, located at 0 degrees longitude, serves as the starting point for measuring degrees east and west.
3. The degrees of longitude are divided into 360 equal parts, with each degree representing one hour of the Earth's rotation.
4. The meridians of longitude allow us to determine specific locations on the Earth's surface and measure the angular distance from the Prime Meridian.
5. The scientific basis of meridians of longitude enables global coordination and facilitates activities such as international travel, communication, and scientific research.
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Find the length of side x to the nearest tenth.
300
x
1
60°
Answer:
x=65
Step-by-step explanation:
Question 5 Not yet answered Marked out of 5.00 Flag question if g(x, y) = yln(x) − x²ln(2y + 1) - then gy(1,0) = -2 Select one: True O False
The statement "gy(1,0) = -2" is true for the function g(x, y) = yln(x) - x²ln(2y + 1).
To find gy(1,0), we need to take the partial derivative of g(x, y) with respect to y and then evaluate it at the point (1,0). The partial derivative of g(x, y) with respect to y is given by the derivative of yln(x) with respect to y minus the derivative of x²ln(2y + 1) with respect to y.
Taking the derivative of yln(x) with respect to y gives ln(x), and the derivative of x²ln(2y + 1) with respect to y is -x²/(2y + 1).
Evaluating these derivatives at the point (1,0), we have ln(1) - (1²/(2(0) + 1)) = 0 - 1 = -1.
Therefore, gy(1,0) = -1, not -2. Thus, the statement "gy(1,0) = -2" is false.
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2. What is the place value of the digit 2 in: 0.3251
A. tenths B. hundredths C. thousandths
D. ten thousandth
Answer:
Digit 2 is the hundredths place value
Step-by-step explanation:
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