Answers
The Frequency of graph is 3
What is the frequency of the graph?The frequencies of each category are represented individually in a frequency graph; the frequencies of each category are shown cumulatively. By doing so, we are able to analyze the data's distribution in greater detail than we could have done by using a Frequency polygon and performing statistics.
A frequency polygon can also be used to display grouped data. This sort of line graph exists. The horizontal axis is a continuous scale, therefore the frequencies can be connected using straight line segments.
Calculation:Looking at the graph we can see that the graph is oscillating between -3 and 3 and as frequency is a positive term taking modulus of this oscillation we get to know that the frequency is 3.
The Frequency of graph is 3
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Related Questions
Find the volume of the cylinder after the conic portion has Ben removed.Answer in term of pi.
Answers
Given a cylinder of radius = r = 6 ft, and a height = h = 10 ft
A conic portion removed from the cylinder
So, the volume of the remaining portion =
the volume of the cylinder - the volume of the cone
The volume of the cylinder =
\(\pi\cdot r^2\cdot h\)The volume of the cone =
\(\frac{1}{3}\pi\cdot r^2\cdot h\)so, the answer will be =
\(\pi\cdot r^2\cdot h-\frac{1}{3}\pi\cdot r^2\cdot h=\frac{2}{3}\cdot\pi\cdot r^2\cdot h=\frac{2}{3}\pi\cdot6^2\cdot10=240\pi\)So, the answer is option 3) 240pi
as x approaches infinity, for which function does f(x) approach negative infinity? select all that apply.
Answers
Both \(f(x) = -x^2\) and \(f(x) = -2x^3 + 5x^2 - 3x + 7\) approach negative infinity as x approaches infinity.
As x approaches infinity, the dominant term of the function determines its behavior. In the case of \(f(x) = -x^2\), the term \(x^2\) becomes infinitely large and negative, causing the entire function to approach negative infinity. Similarly, in the case of \(f(x) = -2x^3 + 5x^2 - 3x + 7\), the term \(-2x^3\) dominates and becomes infinitely negative as x approaches infinity, causing the entire function to approach negative infinity. This is because the negative exponent on \(x^3\) causes the value of the term to become increasingly negative as x increases without bound.
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On 1 October 2015 Karen purchased freehold land and buildings for £480,000, of which the land element was £80,000. The buildings had a useful life of 25 years at the date of purchase. The residual value was nil.
On 1 October 2020 the land and buildings were revalued to £500,000, of which the land element was £100,000. There was no change in the useful life of the property.
According to IAS 16 Property, Plant and Equipment, what should be the depreciation charge for the year ended 30 September 2021 and the balance on the revaluation surplus as at that date?
A Depreciation charge £16,000; revaluation surplus £100,000
B Depreciation charge £20,000; revaluation surplus £100,000
C Depreciation charge £25,000; revaluation surplus £116,000
D Depreciation charge £20,000; revaluation surplus £116,000
Answers
Accoding to the calculations , the correct answer is:
A) Depreciation charge 16,000; revaluation surplus £20,000
According to IAS 16 Property, Plant and Equipment, the depreciation charge for an asset should be based on its carrying amount, useful life, and residual value.
In this case, the buildings were purchased for £400,000 (£480,000 - £80,000) and had a useful life of 25 years. Since there is no residual value, the depreciable amount is equal to the initial cost of the buildings (£400,000).
To calculate the annual depreciation charge, we divide the depreciable amount by the useful life:
£400,000 / 25 = £16,000
Therefore, the depreciation charge for the year ended 30 September 2021 is £16,000.
Now, let's calculate the balance on the revaluation surplus as at that date.
The revaluation surplus is the difference between the fair value of the property and its carrying amount. On 1 October 2020, the property was revalued to £500,000, and the carrying amount was £480,000 (£400,000 for buildings + £80,000 for land).
Revaluation surplus = Fair value - Carrying amount
Revaluation surplus = £500,000 - £480,000
Revaluation surplus = £20,000
Therefore, the balance on the revaluation surplus as at 30 September 2021 is £20,000.
Based on the calculations above, the correct answer is:
A) Depreciation charge £16,000; revaluation surplus £20,000
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Q3 The following diagram represents the positions and
bearings of three buoys floating in the ocean.
[a] How far west is Buoy B from Buoy C.
[b] How far east is Buoy A from Buoy B.
[c] How far north is Buoy C from Buoy A.
N
Buoy B
N
077⁰
240m
345m
N
314⁰
Buoy A
Buoy C
Q4 A ship sails on a bearing of 074° for 10 miles followed by a
bearing of 131° for 15 miles. Work out the bearing of the
ship from its starting position to the nearest degree.
![Q3 The following diagram represents the positions andbearings of three buoys floating in the ocean.[a]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/5aQlGRjgYTWQ8RNC86Md4BrOKhG4oJGV.png)
Answers
A ship sails from port a, on a bearing of 050, to port b which is 80km to the east of a. it then sails on a bearing of 062 for 72km until it reaches pot c. West is 270 degrees. Hence Answer would be 80 km.
For every three girl taking clae at a martial art chool, there are 4 boy who are taking clae. Suppoe there are 236 boy taking clae at the chool. Predict the number of girl taking clae at the chool
Answers
Using Proportion formula,
the proportion that could be used to predict the number of girls taking classes at the school is 3:4
the number of girls takon class at scool is 177.
Proportion :
A proportion is simply an equation that equates two ratios.For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 ..
We have given that,
For every three girls taking class , there are 4 boys who taking class in school .
so, ratio of girls to boys who are taking classes at school is 3:4
let x be an integer which used to find out actual number of girls taking classes.
then, the number of girls taking classes is 3x and boys 4x but we have
total number of boys who are taking classes at school = 236
i.e , 4x = 236 => x = 59
the number of girls taking classes at school = 3x
= 3×59 = 177
total number of students who are taking classes at school= 177+236 = 403
Hence, the proportion girls who are taking classes to boys who are taking classes is 3:4
and number of girls taking classes at school = 177
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sin(73) = cos (x) pls help lol
Answers
Use the sample data and confidence level given below to complete parts (a) through (d). A drug is used to help prevent blood clots in certain patients. In clinical trials, among 4547 patients treated with the drug, 114 developed the adverse reaction of nausea. Construct a 99% confidence interval for the proportion of adverse reactions. a) Find the best point estimate of the population proportion p.
Answers
Answer:
The best point estimate of the population proportion p is 0.0251.
The 99% confidence interval for the proportion of adverse reactions is (0.0191, 0.0311).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).
In clinical trials, among 4547 patients treated with the drug, 114 developed the adverse reaction of nausea.
This means that \(n = 4547, \pi = \frac{114}{4547} = 0.0251\)
The best point estimate of the population proportion p is 0.0251.
99% confidence level
So \(\alpha = 0.01\), z is the value of Z that has a pvalue of \(1 - \frac{0.01}{2} = 0.995\), so \(Z = 2.575\).
The lower limit of this interval is:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.0251 - 2.575\sqrt{\frac{0.0251*0.9749}{4547}} = 0.0191\)
The upper limit of this interval is:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.0251 + 2.575\sqrt{\frac{0.0251*0.9749}{4547}} = 0.0311\)
The 99% confidence interval for the proportion of adverse reactions is (0.0191, 0.0311).
Estimate θ by using method of moment.A sample of 3 observations (X1 = 0.4, X2 = 0.7, X3 = 0.9) is collected from a continuous distribution with density Ox®-1 if 0
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We may need to consider other methods of estimation, such as maximum likelihood estimation or Bayesian estimation
To estimate the parameter θ using the method of moments, we first find the first moment of the distribution in terms of the parameter θ, and then set it equal to the sample mean. Solving for θ gives us our estimate.
For this problem, the first moment of the distribution with density Ox®-1 is:
E[X] = ∫x(Ox®-1)dx from 0 to 1
= ∫x^(2-1)dx from 0 to 1
= ∫x dx from 0 to 1
= 1/2
Setting this equal to the sample mean of the three observations X1 = 0.4, X2 = 0.7, and X3 = 0.9, we have:
1/2 = (X1 + X2 + X3)/3
Solving for the sample mean, we get:
(X1 + X2 + X3)/3 = 1/2
X1 + X2 + X3 = 3/2
Substituting the sample values, we have:
0.4 + 0.7 + 0.9 = 3/2
Simplifying, we get:
2 = 3/2
This is clearly not true, so there must be some mistake in our calculations. Checking our work, we see that the first moment of the distribution is actually undefined since the integral diverges as x approaches 1. Therefore, we cannot use the method of moments to estimate the parameter θ in this case.
We may need to consider other methods of estimation, such as maximum likelihood estimation or Bayesian estimation
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Need help quick please!!!
Answers
Answer:
b = 12 Km
Step-by-step explanation:
using Pythagoras' identity in the right triangle
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
b² + 16² = 20²
b² + 256 = 400 ( subtract 256 from both sides )
b² = 144 ( take square root of both sides )
b = \(\sqrt{144}\) = 12
Which of the following is a geometric sequence?
O A. 11, 16, 21, 26, ...
B. - 3, 3, -3, 3, ...
O C. -2, 6, 14, 22, ...
O D. 6, 13, 19, 24, ...
Answers
Answer:
A
Step-by-step explanation:
geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. Option b is the geometric sequence with the common ratio of 2
What is the GCF of 4454 and 121j²k?
O 4j³k²
O 4j²k4
O 11j³k²
O 11j²4
Answers
The required, there is no highest common factor between 4454 and 121j²k. None of the options are correct.
What is the greatest common factor?The highest common factor (HCF) of two or more numbers is the largest number that divides all of the numbers exactly.
Here,
To find the greatest common factor (GCF) of 4454 and 121j²k, we need to factor both numbers into their prime factors and then identify the common factors.
Since 4454 is an even number and 121 is an odd number so there is no prime highest common factor between the given number.
Thus, none of the options are correct.
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How do i solve this??
Answers
The measure of angle x and y in the cyclic quadrilateral are 93 and 59 degrees.
How to solve cyclic quadrilateral?A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle. The sum of angles in a cyclic quadrilateral is 360 degrees.
The opposite angles in a cyclic quadrilateral add up to 180°. The opposite angles of a cyclic quadrilateral are supplementary.
Therefore, let's find the measure of x and y in the cyclic quadrilateral.
Hence,
x + 87 = 180
x = 180 - 87
x = 93 degrees
y + 121 = 180
y = 180 - 121
y = 59 degrees
Therefore,
x = 93°
y = 59°
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Prove that the number A= \(20^{8^{2014} } }+113 is composite
Answers
Cheese proof:
We can just prove that it is divisible by 3, which means that it is composite. We can use modular exponentiation, where if \(a \equiv b \pmod{n}\) then \(a^x \equiv b^x \pmod{n}\). In this case, \({-1}^{8^{2014}} \equiv 20^{8^{2014}} \pmod{3}\). This is much easier to calculate! Since \(8^{2014}\) is even, \(-1^{8^{2014}}=1\), meaning that now we only need to prove that \(0\equiv(1+113) \pmod{3}\), which is obviously true.
a small college has 500 freshmen, 400 sophomores, 350 juniors, and 300 seniors. administrators wish to conduct a survey of their students, and they find a simple random sample of 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors. the overall sample is:
Answers
The overall sample for the survey consists of 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors, totaling 155 students.
To create an overall sample for the survey, the administrators selected a certain number of students from each class level. They randomly sampled 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors. By combining these individual samples from each class, the administrators obtained an overall sample size of 50 + 40 + 35 + 30 = 155 students. This overall sample represents a portion of the student population from each class level and allows for a representation of students from different academic years in the survey.
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The volume of a triangular pyramid is 756 units3 . If the base and height of the triangle that forms its base are 18 units and 12 units respectively, find the height of the pyramid.
Answers
If the base and height of the triangle that forms its base are 18 units and 12 units respectively then the height of the pyramid is 21 units.
The formula for the volume of a triangular pyramid is:
V = (1/3) * base area * height
We are given that the volume of the pyramid is 756 units^3, the base of the pyramid is a triangle with base length 18 units and height 12 units, so its area is:
A = (1/2) * base * height = (1/2) * 18 * 12 = 108 units^2
Substituting the given values into the formula for the volume of a pyramid, we get:
756 = (1/3) * 108 * h
Multiplying both sides by 3 and dividing by 108, we get:
h = 756 / 36 = 21
Therefore, the height of the pyramid is 21 units.
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What is the 120th term of the sequence 3,6,9..?
Answers
Answer:
360
Step-by-step explanation:
3 times 120
how do you figure out if 2.56 squared is rational or not?
Answers
Answer: The square roots, cube roots, etc., of natural numbers are irrational numbers
Step-by-step explanation: if their exact values cannot be obtained. of doesn't exist. A non-terminating and non-recurring decimal is an irrational number.
6. How many times larger is the first number in the pair than the second? a. 34 is times larger than 3³. times larger than 5². times larger than 78. times larger than 17. times larger than 5*. b. 5³ is_____ c. 710 is d. 176 is e. 5 1⁰ is
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3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.
3⁴ / 3³ = (3 × 3 × 3 × 3) / (3 × 3 × 3) = 3
This means that 3⁴ is 3 times larger than 3³.
5³ is 5 times larger than 5².
5³ / 5² = (5 × 5 × 5) / (5× 5) = 5
7¹⁰ is 49 times larger than 7⁸.
7¹⁰/ 7⁸ = 7² =49
17⁶ is 289 times larger than 17⁴.
17⁶ /17⁴ = 289
Hence, 3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.
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Determine whether the following function is continuous at a. use the continuity checklist to justify your answer. x^2 - 64/x-8 if x ≠ 8 ; a = 8
f(x) = 1 if x = 8
Select all that apply
a. the function is constinuous at a = 8
b. the function is not constinuous at a = 8 because f(8) is undefined
c. the function is not constinuous at a = 8 because lim f(x) does not exist.
x → 1
d. the function is not constinuous at a = 8 because lim f(x) ≠ f(8)
x → 1
Answers
The following function is not continuous at a = 8 because lim f(x) does not exist.
Therefore, the correct options are (c) only.
How to determine whether the following function is continuousHere is a justification:
To justify whether the given function is continuous at x = 8 or not, we have to check the following three conditions of continuity.
The continuity checklist is as follows:
lim f(x) must exist,f(a) must be defined,lim f(x) = f(a).
Now, let's apply the above conditions one by one at x = 8:
lim f(x) must exist:
Let us try to find the value of the limit of the given function at x = 8:
lim [x² - 64]/[x - 8]x → 8= 0/0, which is an indeterminate form.
The function is not continuous at a = 8 because lim f(x) does not exist.
f(a) must be defined:
Since the function is defined for x ≠ 8 and x = 8, we have f(8) = 1..
Therefore, f(a) is defined.
lim f(x) = f(a):
Since lim f(x) does not exist, the third condition of continuity is violated.
Hence, the given function is not continuous at a = 8.
The option c, "the function is not continuous at a = 8 because lim f(x) does not exist" is correct.
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Which value of x makes the equation 0.5(x + 16) = 3 + 0.25(x – 4) true?
Answers
Answer:it is confusing
Step-by-step explanation:
Is 0.400 percent chance good or bad ?
Answers
Answer: It is kind of bad, because it is below 50%. It is 40%. It is less than a 1/2 chance. It is a 4/10 chance.
Step-by-step explanation:
express the product of 2x^2+7x-10 and x+5 in standard form
Answers
Answer:
2x³+17x²+25x-50
Step-by-step explanation:
Standard Form: All your numbers and variables in order of the highest exponent.
(2x²+7x-10)(x+5)
We want to distribute x and 5 to every single value.
2x³+7x²-10x+10x²+35x-50
Simplify.
2x³+17x²+25x-50
This is standard form because the highest values are on the left (x³ is larger than x²).
3. A basket of beads contains 8 red beads, 6 yellow beads, and 6 green beads. A
bead will be drawn from the basket and replaced 150 times. What is a reasonable
prediction for the number of times a green bead is drawn?
A. 45
B. 60
C. 36
D. 72
arere
Answers
Answer:
A) 45
Step-by-step explanation:
P(green) = 6/20
6/20 = x/150
20x = 900
x = 45
What is the measure of
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Angles can be measured using one of two standard units. Degrees are the most widely used unit of measurement.
∠ABD = 39°
What is meant by angle?An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Two rays can form angles in the plane where they are positioned. Angles are also produced when two planes intersect. These are what are known as dihedral angles.An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.Therefore, the correct option is c) 39°
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Please help!!
So confused
And please stop with the link joke
Answers
Answer:
1 and -7/3
Step-by-step explanation:
Answer:
1 & -7/3
Step-by-step explanation:
Hope this helps!
p.s. could I get brainliest (if possible)?
Write an equation for the nth term of the arithmetic sequence.
17, 12, 7, 2, ...
an=
Answers
Answer:
An equation for the nth term of the arithmetic sequence 17, 12, 7, 2 is 17-5n.
Step-by-step explanation:
Given,
first term(a)=17
common difference (d)=t2-t1
=12-17
=-5
nth term of the arithmetic sequence = a+n×d
=17+n×-5
=17-5n
Evaluate 1 2/ 3 × 1 1 /5 Give your answer in its simplest form
Answers
Answer:
3 2/3
Step-by-step explanation:
First, change the mixed numbers into improper fractions:
1 2/ 3 = 5/3
Last, multiply
5/3 × 1 1 /5
11/3
or
3 2/3
Hope this helps!
mark brainliest if possible!
Please help!!!
Question below!!
Answers
1. Dilation is the process of enlarging or shrinking a figure or shape by a scale factor.
2. Reflection is the process of flipping a figure or shape over an axis. In this example, A'B'C' is reflected over the x-axis.
3. A pair of triangles that are congruent are triangles with the same size and shape.
4. A pair of triangles that are similar are triangles with the same shape but different sizes.
What is dilation?Dilation is a mathematical operation used to expand or contract a shape. It involves multiplying every point in the shape by a given scale factor. The scale factor determines how much the shape is changed. The result is a line segment twice the length of the original.
1. In this example, triangle ABC is dilated by a factor of 2 about the point (-1,4). This means that all points on the triangle ABC will be multiplied by the scale factor 2. So the coordinates of point A will become (N-1,6) x 2 = (-2,12), point B will become (-4,5) x 2 = (-8,10) and point C will become (-4,0) x 2 = (-8,0). The new triangle created by the dilation is A'B'C'.
2. This means that the x-coordinates of the points remain the same, but the y-coordinates are multiplied by -1. So the coordinates of point A' will become (-2,12) x -1 = (-2,-12), point B' will become (-8,10) x -1 = (-8,-10) and point C' will become (-8,0) x -1 = (-8,0). The new triangle created by the reflection is ABC'.
3. A pair of triangles that are congruent are triangles with the same size and shape. In other words, the sides and angles of the two triangles are all equal.
4. A pair of triangles that are similar are triangles with the same shape but different sizes. In other words, the angles of the two triangles are equal, but the sides are not necessarily the same length.
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in the graph of the simple linear regression equation, the parameter ß 1 is the _____ of the true regression line.
Answers
In the graph of the simple linear regression equation, the parameter ß1 is the slope of the true regression line.
The simple linear regression equation represents a linear relationship between a dependent variable and an independent variable. It can be written as y = ß0 + ß1x, where ß0 is the intercept and ß1 is the slope of the regression line.
The slope (ß1) determines the rate of change in the dependent variable (y) for each unit change in the independent variable (x). It represents the steepness or inclination of the regression line. The sign of ß1 indicates whether the line has a positive or negative slope, indicating the direction of the relationship between the variables.
Thus, in the context of the simple linear regression equation, the parameter ß1 is the slope of the true regression line.
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which type of association is grown on this graph?
Answers
Answer/Step-by-step explanation:
This graph represents a negative association.
As x increase, y decreases showing that the points are descending or having a negative association.