True. The coefficient of variation is a better measure of risk than the standard deviation if the expected returns of the securities being compared differ significantly.
The coefficient of variation (CV) is a relative measure of risk that takes into account the standard deviation and the mean of a distribution. It is a better measure of risk than the standard deviation when comparing securities with significantly different expected returns because it adjusts for the differences in the means.
The CV is calculated as the ratio of the standard deviation to the mean, and it allows for the comparison of the risk of investments with different expected returns on a standardized basis. Therefore, it is a useful tool for investors who want to compare the risk of investments that have different levels of expected returns. However, it should be noted that the CV has limitations and should not be the sole measure of risk used in investment analysis.
For more questions like Variation visit the link below:
https://brainly.com/question/14095452
#SPJ11
What is the y-intercept of y = 2/3 x + 2? Responses A (3, 2)(3, 2) B (2, 3)(2, 3) C (-3, 0)(-3, 0) D (0, 2)
Answer:
Y intercept is (0,2) Answer D.
Step-by-step explanation:
I included a graph for equation y=2/3 x + 2.
16. Find the average rate of change of the function f(x)=x²+2x+1 over the interval [0,1/2]
As a result, f(x) changes at a rate of 1/2 on average over the range [0, 1/2].
what is function ?A function is a mathematical formula that relates every element in one set, known as the domain, to a single element in another set, known as the range. The most prevalent way to represent a function is as f(x), where f(x) stands for the output or dependent variable and "x" stands for the input or independent variable. There is a value of f(x) in the range for each value of x in the domain. Consider the function f(x) = 2x + 1 as an illustration. This function's range and scope possibilities are both limited to the real numbers.
given
We must determine the slope of the secant line that goes through the interval's endpoints in order to determine the average rate of change of a function over the interval. Since the range in this instance is [0, 1/2], we must determine the slope of the secant line that connects (0, f(0)) and (1/2, f(1/2)).
Let's first assess the function at the interval's endpoints:
f(0) = 0² + 2(0) + 1 = 1
f(1/2) = (1/2)² + 2(1/2) + 1
= 5/4
Next, we can calculate the slope of the secant line using the slope formula:
slope is equal to (f(1/2)-f(0)) / (1/2 - 0)
= ((5/4)-1) / (1/2)
= (1/4) / (1/2)
= 1/2.
As a result, f(x) changes at a rate of 1/2 on average over the range [0, 1/2].
To know more about function visit:
https://brainly.com/question/28193995
#SPJ1
Perimeter of a ______________ = side+side+side+side+side
Perimeter of a regular pentagon = side + side + side + side + side
A polygon is a two-dimensional shape with straight sides that are connected to form a closed figure. The perimeter of a polygon is defined as the total distance around the exterior of the shape.
To calculate the perimeter of a polygon, you add up the lengths of all its sides. For example, a regular pentagon has five sides that are all the same length. To find the perimeter of this pentagon, you would add up the length of all five sides:
Perimeter of a regular pentagon = side + side + side + side + side
= 5 × side
Learn more about perimeter here
brainly.com/question/29421031
#SPJ4
pls help as soon as possible
Answer:
42x-27
Step-by-step explanation:
In a hat, you have index cards with the numbers 1 through 10 written on them. Find how many of the 10 possible numbers you can pick match the described event, then drag and drop each of the numbers into the correct box to order the events from least likely to happen (1) to most likely to happen (8) when you pick one card at random.A. You pick a number greater than 0.B. You pick an even number.C. You pick a number that is at least 2.D. You pick a number that is at most 0.E. You pick a number divisible by 3.F. You pick a number divisible by 5.G. You pick a prime number.H. You pick a number less than the greatest prime number among the numbers 1 through 10.
The order of events from least likely to most likely are as follows:
D. You pick a number that is at most 0A. You pick a number greater than 0C. You pick a number that is at least 2B. You pick an even numberE. You pick a number divisible by 3F. You pick a number divisible by 5G. You pick a prime numberH. You pick a number less than the greatest prime number among the numbers 1 through 10The reason for this order is because of the chances of each event occurring. Event D has the least chance of occurring because no numbers in the set have a value less than or equal to 0. Event A is the next least likely because only one number in the set is greater than 0, which is the number 1. Event C is the next least likely because only two numbers in the set are at least 2 (2 and 3). Event B is the next least likely, as there are only five even numbers in the set (2, 4, 6, 8, and 10). Events E, F, G, and H are the most likely to occur, because of the number of numbers that are divisible by 3, and 5, and are prime numbers.
To learn more about "Least likely events": brainly.com/question/30311304
#SPJ11
Question 8 (4 points)
For a meat raffle, 100 tickets were sold.
The following were prizes:
number of winners
1
4
15
prize
grand prize - $1000 cash
$250 meat package
$50 meat package
What is the probability of winning the grand prize? 1/20
What is the expected value for someone buying a single ticket for $10.00 ? $
according to a census, 3.3% of all births in a country are twins. if there are 2,500 births in one month, calculate the probability that more than 90 births in one month would result in twins. use a ti-83, ti-83 plus, or ti-84 calculator to find the probability. round your answer to four decimal places. provide your answer below:
According to a census, 3.3% of all births in a country are twins. In a month, there are 2,500 births. The census reports that 3.3% of all births result in twins, and the probability of having more than 90 twins in a month is "0.4351."
We will solve this problem using the binomial distribution formula, which is as follows:P (X > 90) = 1 - P (X ≤ 90)where P represents the probability, X represents the number of twins born in a month, and X is a binomial random variable with a sample size of n = 2,500 and a probability of success (having twins) of p = 0.033. Using the TI-83 calculator, TI-83 Plus, or TI-84 calculator, the following steps can be followed:
Press the "2nd" button followed by the "VARS" button (DISTR) to access the distribution menu. Scroll down and select "binomcdf (" from the list of options (use the arrow keys to navigate). The binomcdf ( menu will appear on the screen. The first number in the parentheses is the number of trials, n, and the second number is the probability of success, p. We want to find the probability of having more than 90 twins, so we need to use the "compliment" option. Therefore, we will subtract the probability of having 90 twins or less from 1 (using the "1 -" key). Type in "binomcdf (2500,0.033,90)" and press the "ENTER" button on your calculator.
This will give you the probability of having 90 twins or fewer in a month. Subtract this value from 1 to obtain the probability of having more than 90 twins in a month, which is the answer to our question. P(X>90) = 1 - binomcdf (2500,0.033,90)P(X>90) = 1 - 0.5649P(X>90) = 0.4351Therefore, the probability of having more than 90 twins in a month is 0.4351.
For more such questions on probability
https://brainly.com/question/24756209
#SPJ11
Sophie invested $92,000 in an account paying an interest rate of 6 1/8% compounded
continuously. Damian invested $92,000 in an account paying an interest rate of 6 5/8%
compounded monthly. After 14 years, how much more money would Damian have in
his account than Sophie, to the nearest dollar?
Answer:
Step-by-step explanation:
To solve this problem, we need to use the formula for compound interest:
A = P*e^(rt)
where A is the final amount, P is the principal (initial investment), e is the base of the natural logarithm (approximately 2.71828), r is the interest rate (expressed as a decimal), and t is the time (in years).
For Sophie's account, we have:
P = $92,000
r = 6 1/8% = 0.06125 (as a decimal)
t = 14 years
A = 92000*e^(0.06125*14)
A = $219,499.70 (rounded to the nearest cent)
For Damian's account, we have:
P = $92,000
r = 6 5/8% = 0.06625/12 = 0.005521 (as a monthly decimal rate)
t = 14*12 = 168 months
A = 92000*(1+0.005521)^168
A = $288,947.46 (rounded to the nearest cent)
Now we can subtract Sophie's final amount from Damian's final amount to find the difference:
Difference = $288,947.46 - $219,499.70
Difference = $69,447.76
Therefore, Damian would have about $69,448 more in his account than Sophie, to the nearest dollar.
What is the area of the triangle?
Answer:
b×h ÷2 esa es la fórmula para el área
Step-by-step explanation:
the area of a triangle is
baseline × height / 2
we see that the baseline is 4 units long.
and the height from the top vertex down to that baseline is 5 units.
so, the area is
4 × 5 / 2 = 20/2 = 10 units²
Q2 NEED HELP PLEASE HELP
Answer:
The skydiver has an initial height of 3600.
Step-by-step explanation:
3600 is the y-intercept in the form y=mx+b
In the point (0,3600) .Time is the x-axis and Height is the y-axis.
Replacing,
3600= m(0)+b
b=3600
Taking another point: (2, 3536)
We apply the formula to obtain the slope.
m= (y2-y1) / (x2-x1)
m= (3536 - 3600) / (2-0)
m= -64 / 2
m= -32
Joining all the terms:
y=-32x+3600
stive efforts in
Eamples (finding slope in tables and graphs)
termine the slope of each linear equation. You may want to use the slope formula.
X O
1
2
3
y
S5
7
9
11
b)
566
X
-7
-6
-5
-4
y
10
7
4
1
c)
X
-2
0
2
4
y
I
3
5
can't
7
9
The slope of a linear equation is an important skill to have, as it can be used to identify the rate of change of the equation, and can be used to predict future values of the equation.
What is equation?An equation is an expression that states the equality of two things. It typically consists of an equal sign (=) and two expressions on either side of the equal sign that represent the same thing. Equations are used to describe relationships between different variables and can be used to solve mathematical problems. They can also be used to show the relationships between different quantities in physics and chemistry.
a)The slope of this linear equation can be determined by using the slope formula, which is rise over run. In this equation, the rise is 6, and the run is 2, so the slope is 3.
b) The slope of this linear equation can be determined by using the slope formula, which is rise over run. In this equation, the rise is 3, and the run is -7, so the slope is -3/7.
c) The slope of this linear equation can be determined by using the slope formula, which is rise over run. In this equation, the rise is 4, and the run is 6, so the slope is 2/3.
Finding slope in tables and graphs is a common mathematical skill that is used to identify the rate of change of a linear equation. This is determined by finding the change in the dependent variable (the y-axis) divided by the change in the independent variable (the x-axis). This is what is referred to as the slope of the equation. To find the slope in tables and graphs, you must look at the differences between the points on the x-axis and y-axis, and divide the change in the y-axis by the change in the x-axis. This will give you the slope of the equation. Finding the slope of a linear equation is an important skill to have, as it can be used to identify the rate of change of the equation, and can be used to predict future values of the equation.
To know more about equation click-
https://brainly.com/question/2972832
#SPJ1
sam wants to color the three sides of an equilateral triangle. he has five different colors to choose from. in how many different ways can sam color the sides of the triangle? (two colorings are considered the same if one coloring can be rotated and/or reflected to obtain the other coloring.)
There are 27 different ways for Sam to color the sides of the equilateral triangle, accounting for rotations and reflections.
We have,
To calculate the number of different ways Sam can color the sides of the equilateral triangle, we need to consider the symmetry of the triangle.
Since two colorings are considered the same if one coloring can be rotated and/or reflected to obtain the other coloring, we need to account for these symmetries.
Let's analyze the possibilities:
- All three sides have the same color:
There is only one way to color the triangle in this case.
- Two sides have the same color, and the third side has a different color: Sam can choose the color for the two sides in 5 ways and the color for the remaining side in 4 ways (since it must be different from the other two colors).
However, we need to divide this by 3 to account for the different rotations of the equilateral triangle.
Thus, there are (5 x 4) / 3 = 20 / 3 = 6.67 (approx) ways to color the triangle in this case.
Since the number of colorings must be a whole number, we consider this as 6 ways.
- All three sides have different colors:
Sam can choose the color for the first side in 5 ways, the color for the second side in 4 ways (since it must be different from the first), and the color for the third side in 3 ways (since it must be different from the first two).
However, we need to divide this by 6 to account for the different rotations and reflections of the equilateral triangle.
Thus, there are (5 x 4 x 3) / 6 = 20 ways to color the triangle in this case.
In total, the number of different ways Sam can color the sides of the equilateral triangle is:
= 1 + 6 + 20
= 27.
Thus,
There are 27 different ways for Sam to color the sides of the equilateral triangle, accounting for rotations and reflections.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ12
A random sample of 121 bottles of cologne showed an average content of 4 ounces. It is known that the standard deviation of the contents (i.e., of the population) is 0.22 ounces. Refer to Exhibit 7-4. The point estimate of the mean content of all bottles is? a) 0.22 b) 4 c) 121 d) 0.02
The point estimate of the mean content of 121 bottles with the average content of 4 ounces and the standard deviation 0.22 ounces is 4. Option B is the correct answer.
A point estimate is a statistic used to predict the corresponding population parameter. In a sense, a point estimate is a guess about a parameter that uses data from a sample as the basis of the guess. Point estimates can be used to estimate population parameters such as the population mean or population standard deviation.
The point estimate is a single numerical value that represents a guess for a parameter. The sample mean and sample standard deviation are examples of point estimates for the population mean and population standard deviation. If a point estimate is a good guess, it should be fairly close to the true value of the parameter.
Thus, option B is the correct answer.
You can learn more about point estimate at
https://brainly.com/question/24261796
#SPJ11
Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct answers.
A figure consists of two curves labeled Upper A and Upper B. Curve Upper A is shorter and more spread out than curve Upper B, and curve Upper B is farther to the right than curve Upper A.
Select all that apply:
1. A has the larger mean.
2. B has the larger mean.
3. The means of A and B are equal.
4. A has the larger standard deviation.
5. B has the larger standard deviation.
6. The standard deviations of A and B are equal
The true statements regarding the plot of normal distributions A and B are B has the larger mean, and B has the larger standard deviation; options 2 and 3.
What is a plot of normal distribution?A plot of a normal distribution is a bell-shaped curve that represents the probability distribution of a continuous random variable that follows a normal distribution.
The plot shows the frequency of occurrence of values of the variable, with the most common values near the mean and the less common values near the tails of the distribution.
The normal distribution is characterized by two parameters: the mean (μ) and the standard deviation (σ). The mean determines the location of the center of the distribution, while the standard deviation determines the spread or width of the distribution.
Learn more about normal distribution at: https://brainly.com/question/4079902
#SPJ1
13
Select the correct answer.
Solve the following equation for x.-
x²-36=0
Ο Α.
OB.
OC.
O D.
X = 1; x = -36
x= -1; x = 36
x = -6; x = 6
x=-18; x = 18
Answer:
C.
Step-by-step explanation:
x² - 36 = 0
x = 6
6² = 6 x 6 = 36
So..
36 - 36 = 0
As there are so many equations in mathematics, it is a very broad subject. These are a few illustrations of typical mathematical equations: [tex]x = -6; x = 6[/tex]. Thus, option C is correct.
What is the equation used in maths?To solve the equation [tex]x² - 36 = 0[/tex] , we can use the difference of squares formula:
A, B, and C are constants in the quadratic equation: ax2 + bx + c = 0. A quadratic function, often known as a function with the form f(x) = ax2 + bx + c, can be solved using this equation to get its roots.
[tex]a² - b² = (a + b)(a - b)[/tex]
In this case, a² = x² and b² = 36, so we can write:
[tex]x² - 36 = (x + 6)(x - 6)[/tex]
Setting this expression equal to 0 and solving for x, we get:
[tex](x + 6)(x - 6) = 0[/tex]
[tex]x + 6 = 0 or x - 6 = 0[/tex]
[tex]x = -6 or x = 6[/tex]
Therefore, the solutions to the equation [tex]x² - 36 = 0[/tex] are [tex]x = -6[/tex] and [tex]x = 6.[/tex]
Learn more about equation here:
https://brainly.com/question/29657983
#SPJ1
22 The regular selling price is a 22" tube television is $389. The markdown rate is 33%. Use the
percent paid to determine the sale price.
A. $245.34
C. $260.63
B. $267.89
D. $287.56
The Sale price is C. $260.63.
What is selling price?Selling price is the price at which a product or service is sold by a business or seller to a customer. It is the amount of money that a customer must pay in order to purchase the product or service. The selling price is typically determined by factors such as production costs, competition, supply and demand, and profit margins.
What is sale price?Sale price is the discounted price at which a product or service is sold for a limited period of time. It is usually a lower price than the regular price, and it is offered to customers as an incentive to make a purchase. Sale prices can be determined by applying a discount or markdown to the regular selling price.
In the given question,
To find the sale price, we need to first calculate the amount of the markdown:
Markdown = Regular Price x Markdown Rate
Markdown = $389 x 0.33
Markdown = $128.37
The sale price is then the regular price minus the markdown:
Sale Price = Regular Price - Markdown
Sale Price = $389 - $128.37
Sale Price = $260.63
Therefore, the answer is C. $260.63.
To know more about sale price, visit:
https://brainly.com/question/29363568
#SPJ1
could someone help out?
Answer:
27.18
Step-by-step explanation:
Firstly, you must label the triangle.
r- opposite
13.85- adjacent
We know that tan θ = opposite/ adjacent so we substitute our numbers into the equation.
tan (63) = r/13.85
Then, times 13.85 on both sides so we only have our unknown on one side.
(x13.85) tan(63)= r/13.85 (x13.85)
r= tan (63) x 13.85
r=27.18
:)
I need help with answer this question
Answer:
y = 2x/15 + 6
Step-by-step explanation:
3y/2 = x/5 + 9
3y = (x/5 + 9) (2) The 2 that was dividing goes on to multiply on the other side.
3y= 2x/5 + 18
y = (2x/5 + 18) / 3 The 3 that was multiplying goes on to divide on the other side.
y = 2x/15 + 6
Sunflower canola oil is a cooking oil sold in south african supermarkets a 750ml bottle cost R28 and a 2litre bottle cost R63 evaluate which option will be the most cost effective option
Therefore, the 2-liter bottle is the more cost-effective option as it has a lower cost per milliliter.
What are millimeters?Millimeters (mm) is a unit of length in the metric system. It is a subunit of a meter, with one meter being equal to 1000 millimeters. Millimeters are commonly used to measure small distances such as the thickness of paper, the width of a fingernail, or the diameter of a small object. The abbreviation for millimeters is "mm".
by the question.
To evaluate which option is the most cost-effective, we need to compare the cost per milliliter of each option.
Calculate the price per liter: To compare the cost of the two options, you'll need to calculate the price per liter of each. You can do this by dividing the price of the bottle by its volume in liters. For example, if the 2-liter bottle costs $4, the price per liter would be $2 ($4/2 liters). If the 750ml bottle costs $2.50, the price per liter would be $3.33 ($2.50/0.75 liters).
Compare the price per liter: Once you have the price per liter for each option, you can compare them. In this example, the 2-liter bottle is cheaper at $2 per liter compared to the $3.33 per liter for the 750ml bottle.
Consider the convenience: While the 2-liter bottle may be cheaper, you should also consider if it's more convenient for you. If you won't be able to use all the 2-liters before it goes bad, or if it's difficult to carry around, then multiple 750ml bottles may be a better option for you despite the higher cost per liter.
For the 750ml bottle:
[tex]Cost per milliliter = R28 /750ml[/tex]
[tex]Cost per milliliter = R0.0373/ml[/tex]
For the 2-liter bottle:
[tex]Cost per milliliter = R63 / 2000ml[/tex]
[tex]Cost per milliliter = R0.0315/ml[/tex]
To learn more about meter:
https://brainly.com/question/22552981
#SPJ1
BRAINLY AND 20 POINTS IF ANSWERED!!!!!! roberto is walking. The distance, D, in meters, he walks can be found using the equation D=1. 4t, where t is time in seconds
[ ] meters per second
1.4m/s is the rate that Roberto is walking. We know the formula for calculating the time i.e. t= d/r.
The term "distance" refers to how far we move. The rate is a measurement of our trip speed. Time is measured by how far we travel. The distance an object will travel over time and at a specific average rate is the subject of rate problems.
Given,
Distance = D
D= 1.4t
Rate= ?
Substituting the given values in the formula t= d/r
where,
t= time in seconds
d= distance
r= rate
We get,
t= 1.4t/r
t/1.4t= 1/r
t gets cancelled
so we have,
1/1.4= 1/r
r= 1.4m/s
Therefore, 1.4m/s is the rate at which Roberto is walking.
Learn more about Rate here: brainly.com/question/29781084
#SPJ4
The complete question is as follows:
Roberto is walking. The distance, D, in meters, he walks can be found using the equation D=1. 4t, where t is time in seconds.
What is the rate that Roberto's walking in meters per second?
find an equation of the curve that passes through the point (0, 1) and whose slope at (x, y) is 7xy. (note: start your answer with y
The equation of the curve that passes through the point (0, 1) and whose slope at (x, y) is 7xy. by starting with y equation will be y = 7xy + 1.
An explanation of this equation will be this is the equation of a curve that passes through the point (0,1) and has a slope of 7xy at (x,y).
To find this equation, we use the point-slope formula, which states that for any point (x1, y1) and a slope m, the equation of the line through the point with that slope is given by y - y1 = m(x - x1).
Substituting in the given values, we get y - 1 = 7xy(x - 0).
Simplifying the equation, we have y = 7xy + 1.
Equation of the curve that passes through the point (0, 1) and whose slope at (x, y) is y = 7xy + 1.
To learn more about the equation of the curve: https://brainly.com/question/9686400
#SPJ11
How can I write this differently, 270 students don’t like carrots
Answer:
270 students dislike carrots.
Step-by-step explanation:
kayode bought 50 oranges for 60k. if he sells them in groups of five,for how much should he sell in order to make 50% profit
Answer:
Cost price of 5 orange=(60/50)*5=6k
Now to get 50% profit
Selling price of group of 5 orange
=6*1.5=9k.
Solve this math problem below
the only option that satisfies both conditions is option B:[tex]y = 12 \sqrt{(x)} - 1[/tex]. Its range is all real numbers and its graph is decreasing from left to right.
What is quadratic equation?
A quadratic equation is a type of polynomial equation of degree two, meaning it contains one or more terms that involve x raised to the power of two (i.e., x^2).
To determine which of these functions has a range of all real numbers and a graph that is decreasing from left to right, we can examine the behavior of the functions as x approaches positive or negative infinity.
For option A, we see that the term (x+7) inside the square root will approach infinity as x approaches infinity, and since the term is subtracted from 3 and multiplied by -6, the y-values will approach negative infinity.
For option B, as x approaches infinity, the square root term will also approach infinity, and since it is being multiplied by 12 and subtracted by 1, the y-values will approach positive infinity.
For option C, as x approaches negative infinity, the term (x+1) inside the cube root will approach negative infinity, and since it is being multiplied by 3 and subtracted by 4, the y-values will approach negative infinity.
For option D, as x approaches negative infinity, the cube root term will approach negative infinity, and since it is being multiplied by -5 and added to 15, the y-values will approach positive infinity.
Therefore, the only option that satisfies both conditions is option B: y = [tex]12 \sqrt{(x)} - 1.[/tex] Its range is all real numbers and its graph is decreasing from left to right.
For the first question, we know that the given square root function has an endpoint at (-4, 19). Let's substitute these values into the function to solve for the unknown parameter 'a':
[tex]y = a\sqrt{(x-h)}+k[/tex]
[tex]19 = a \sqrt{(-4-h)}+k[/tex]
We also know that the square root function has a domain of all values of 'x' such that the expression inside the square root is non-negative. Therefore:
(x-h) >= 0
x >= h
Combining the two equations, we get:
[tex]19 = a\sqrt{(-4-h)}+k[/tex]
h <= x
Since we have only one equation with two unknowns ('a' and 'k'), we cannot solve for the exact values of 'h' and 'a'. However, we can eliminate some of the answer choices based on the domain condition:
For the second question, we need to find a function that has a range of all real numbers and a graph that is decreasing from left to right. Let's analyze each option:
Option A: y=-6√x+7+3 has a maximum value of 3 and a decreasing graph from left to right, but its range is limited to y <= 3, so it does not satisfy the range condition.
Option B: y = 12-1 has a constant value of 11, so its range is limited to y = 11, which does not satisfy the range condition.
Option C: y=3x+1-4 has a graph that is increasing from left to right, so it does not satisfy the decreasing graph condition.
Option D: y=-5 +15 has a constant value of 10, so its range is all real numbers, and its graph is decreasing from left to right (a horizontal line).
Therefore, the answer is Option D: y=-5 +15.
To learn more about quadratic equations from the given link:
brainly.com/question/30098550
#SPJ1
Measure the diameter of the tin mm and write down the real diameter in mm
Answer:
Step-by-step explanation:
The equation y = 8x represents the
relationship between the amount of
time Shanay takes to weave thread
into fabric and the number of rows.
How long will it take Shanay to weave
72 rows of fabric at this constant rate?
The circle graph describes the distribution of preferred music from a sample of 400 randomly selected middle school students.
a circle graph titled preferred music, with five sections labeled rock 13 percent, hip hop 25 percent, pop 35 percent, classical 13 percent, and jazz 14 percent
Which of the following conclusions can we draw from the circle graph?
Pop is the preferred music for 35 students.
Jazz is the preferred music for 56 students.
Together, Hip Hop, Rock, and Jazz are the preferred music for less than half the students.
Together, Hip Hop and Pop are the preferred music for 260 students.
The conclusion we can draw from the circle graph is (2) Jazz is the preferred music for 56 students.
Which of the conclusions can we draw from the circle graph?From the circle graph, we can draw the following conclusions:
Pop is the preferred music for 35% of the sample, which is equivalent to 0.35 x 400 = 140 students.
Therefore, conclusion (1) is incorrect.
Jazz is the preferred music for 14% of the sample, which is equivalent to 0.14 x 400 = 56 students.
Therefore, conclusion (2) is correct.
The combined percentage of Hip Hop, Rock, and Jazz is 13% + 25% + 14% = 52%, which is more than half of the sample.
Therefore, conclusion (3) is incorrect.
Hip Hop and Pop are the preferred music for 25% + 35% = 60% of the sample, which is equivalent to 0.6 x 400 = 240 students.
Therefore, conclusion (4) is incorrect.
Therefore, the only correct conclusion that can be drawn from the circle graph is that Jazz is the preferred music for 56 students.
Read more about circle graph at
https://brainly.com/question/24461724
#SPJ1
Identify and name congruent triangles
The answers are a) ASA congruence rule b) SSS congruence rule c) it is not necessary congruent.
What is Congruence ?Congruent refers to having the same height and shape. Congruent therefore involves comparing two numbers, and equivalent denotes the equality of two expressions. Therefore, to state two line segments are congruent implies that the two lines have equal measures.
According to question:a) ∠GIH is corresponding to ∠LJK
GH = KL
∠IHG = ∠KLJ
By ASA congruence rule
ΔGIH ≅ ΔJKL
b) AB = DF
AC = DE
BC = EF
By SSS congruence rule
ΔABC ≅ ΔDEF
c) Two Corresponding sides are congruent, which is not enough to make them congruent.
So, it is not necessary congruent.
To know more about Congruent visit:
brainly.com/question/12413243
#SPJ1
W(–1, 4), X(4, 0), Y(–5, 1), and Z(0, –3) are vertices of quadrilateral WXZY. What is true of wx and yz?
The length of WX is greater than the length of YZ, and that the sides are neither parallel nor perpendicular.
Quadrilateral WXZY has four vertices: W(-1,4), X(4,0), Y(-5,1), and Z(0,-3). We are asked what is true about the sides WX and YZ.
To determine the length of WX, we can use the distance formula: d = √((x2-x1)² + (y2-y1)²). So, d(W,X) = √((4-(-1))² + (0-4)²) = √(5² + 4²) = √41. Similarly, d(X,Z) = √((0-4)² + (-3-0)²) = √16 + 9 = √25 = 5.
To determine the length of YZ, we can use the same formula: d(Y,Z) = √((-3-(-5))²+ (0-1)²) = √4 + 1 = √5.
Now, we need to compare the lengths of WX and YZ to determine what is true about them. √41 is greater than √5, so we know that WX is longer than YZ.
However, this does not tell us whether WX and YZ are parallel, perpendicular, or neither. To determine this, we need to examine the slopes of the sides.
The slope of WX is (0-4)/(4-(-1)) = -4/5. The slope of YZ is (0-(-3))/(-5-0) = 3/5. Since the slopes are not equal, we know that the sides are not parallel.
To determine if the sides are perpendicular, we can multiply their slopes. If the product is -1, then the sides are perpendicular. So, (-4/5) * (3/5) = -12/25, which is not equal to -1. Therefore, we can conclude that the sides WX and YZ are neither parallel nor perpendicular.
Learn more about quadrilateral here: brainly.com/question/29934440
#SPJ4
How can you tell if a point is a solution to a two variable inequality?
One way to determine whether a point is a solution to a two-variable inequality is to substitute the values of the variables in the inequality and determine whether the inequality is true or false. If the inequality is true, the point is a solution, and if the inequality is false, the point is not a solution.
For example, consider the inequality 2x + 3y > 7. Let’s see if the point (1,2) is a solution. To do so, substitute x=1 and y=2 into the inequality:2(1) + 3(2) > 7 Simplify to get:2 + 6 > 7 This is true, so the point (1,2) is a solution to the inequality. Conversely, let’s see if the point (4,-1) is a solution. To do so, substitute x=4 and y=-1 into the inequality:2(4) + 3(-1) > 7 Simplify to get:8 - 3 > 7 This is false, so the point (4,-1) is not a solution to the inequality .There are some general rules that can be followed to help determine which side of a line is shaded in an inequality. If the inequality is greater than or less than, the line should be dashed, and the shading should be above or below the line, respectively. If the inequality is greater than or equal to or less than or equal to, the line should be solid, and the shading should be above or below the line, respectively.
for such more questions on inequality
https://brainly.com/question/24372553
#SPJ11