The total risk of an investment is measured by the variance or, more commonly, the standard deviation of its return. Therefore, the correct answer option is: A. total risk.
What is risk management?In Economics, risk management can be defined as a strategic process which involves the identification, evaluation, analysis and control of potential threats (risks) that are present in a business, project, or system, as an obstacle to its capital, revenues, success, and profits.
What is rate of return?In Business management, rate of return can be defined as a net gain (profit) or loss that is associated with an investment over a specified period of time, and it is usually expressed as a percentage of the initial cost of an investment.
In conclusion, the standard deviation or variance of its return is typically used for measuring the total risk of an investment.
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Buying art supplies. Isabella is an artist who normally purchases her spray fixative in 6 2/3 ounce cans. If the economy size contains 1 2/5 as much spray, how many ounces will it contain?
The economy size of spray fixative contains 2.70 ounces.
Explain the method of unitary?A single or distinct unit is referred to by the word unitary. Therefore, the goal of this strategy is to establish values in reference to either a single unit. The unitary technique, for instance, can be used to calculate how many kilometres a car will go on one litre of gas if it travels 44 km on two litres of fuel.For the stated question-
purchasing art materials the spray fixative that Isabella, an artist, typically buys comes in 6 2/3 ounce cans. If there is 1 2/5 times as much spray in the economy size,Thus,
Convert mixed number in improper fraction:
6 2/3 = 20/3
and, 1 2/5 = 7/5
Now, the number of ounces = 20/3 / 7/5
number of ounces = 20*5 /3*7
= 100/37
= 2.70
number of ounces = 2.70
Thus, the economy size contains 2.70 ounces.
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alyssa picked 5.39 pounds of blueberries she used 0.3 of those blueberries to make a pie, how many pounds did alyssa use
A linear function is represented on the coordinate grid.
Y; 0. 5. X; 8. negative 2.
What is the y-intercept of the graph of this function?
A
5
B
6
C
negative seven over eight.
D
negative eight over seven.
The y intercept of the linear equation is 4
How to identify the y intercept of the linear equationThe y intercept is identified by first finding the equation of the line and substituting x = 0 in to the equation
The slope, m of the linear function is calculated using the points (-2, 5) and (8, 0)
m = (y₀ - y₁) / (x₀ - x₁)
m = (5 - 0) / (-2 - 8)
m = (5) / (-10)
m = -1/2
equation passing through point (8, 0)
(y - y₁) = m (x - x₁)
y - 0 = -1/2 (x - 8)
y = -1/2 x + 4
the y intercept is calculated at x = 0
y = -1/2 x + 4
y = -1/2 (0) + 4
y = 4
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use a net to find the surface area of the rectangular prism 10ft 5ft 1ft
PLS HELP ME ☝️ 35
points! :(
Answer:
You need 130ft² of net to cover the surface area of the rectangular prism.
Step-by-step explanation:
1. find smallest sides surface:
S1=ab
S1=5*1=5ft²
There are two sides so 2*5=10ft²
2. find middle sized sides surface:
S2=cb
S2=10*1=10ft²
There are two sides so 2*10=20ft²
3. find biggest sides surface:
S3=ca
S3=5*10=50ft²
There are two sides so 2*50=100ft²
4. Sum up all the sides:
S=2ab+2cb+2ac
S=10+20+100=130ft²
Answer:r:
Surface Area: 130ft
Step-by-Step explanation:
Width: 5 ft
Height: 1 ft
Length: 10 ft
Formula: 2(wl+hl+hw)
2(1·10+5·10+5·1)=130
How many square inches larger is the area of ABC then CDE shown in the figure 
On solving the provided question, we can say that Area of the triangle is = 1/2 X B X H = 1/2 X 10 X 25 = 125sq units
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
here,
in triangle ABC and CDE
base = 25
height = 10
Area of the triangle is = 1/2 X B X H = 1/2 X 10 X 25 = 125sq units
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A a bank loaned out $17,500 part of it at the rate of 10% annual interest and the rest at 4% annual interest. The total for both loans was $970. How much was loaned at each rate
Answer: x = 9500
Step-by-step explanation:
Ok, so we know the bank loaned part of the $17,500 at a 4% interest rate. Lets call this loan amount x. Then the rest of the 17,500 was loaned at a 9% interest rate. Whatever this amount was, we can define it as 17,500 - x. We also know that the total interest earned was $1,100. With this information, we can form the following equation:
.04(x) + .09(17500 - x) = 1100
Multiply the .09 times the inside of the parentheses:
.04x + 1575 - .09x = 1100
Simplify:
-.05x + 1575 = 1100
-.05x = -475
x = 9500
Since x is originally the amount loaned at the 4% interest rate, we know that $9,500 was loaned at a 4% interest rate.
To figure out the other amount loaned at 9%, simply subtract 9,500 from 17,500 -- this gets us 8,000. So $8,000 was loaned at a 9% interest rate.
You receive your midterm exam scores for four classes. In all four classes, your midterm score was X = 70. Below is the mean and standard deviation for each of your classes. Compute the zscore for each midterm exam score and summarize in words how you performed relative to other students in the class. a. Class 1: μ = 70 and σ = 10 b. Class 2: μ = 50 and σ = 20 c. Class 1: μ = 80 and σ = 5 d. Class 1: μ = 80 and σ = 20
The z-score, also known as the standard score, tells us how many standard deviations an individual data point is from the mean of the data set.
What is an illustration of statistics ?
A statistic is a numerical expression of a sample characteristic. The average amount of points obtained by students in one math class at the conclusion of the term, for instance, is an example of a statistic if we see that class as a sample of the population of all math classes.
For Class 1, where the mean is 70 and the standard deviation is 10, the z-score for your midterm score of X = 70 is (70-70)/10 = 0. This means that your score is exactly at the mean and the same as other students in the class.
For Class 2, where the mean is 50 and the standard deviation is 20, the z-score for your midterm score of X = 70 is (70-50)/20 = 1. This means that your score is one standard deviation above the mean and better than most of the students in the class.
For Class 3, where the mean is 80 and the standard deviation is 5, the z-score for your midterm score of X = 70 is (70-80)/5 = -2. This means that your score is two standard deviations below the mean and worse than most of the students in the class.
For Class 4, where the mean is 80 and the standard deviation is 20, the z-score for your midterm score of X = 70 is (70-80)/20 = -0.5. This means that your score is half a standard deviation below the mean and worse than some of the students in the class but better than others.
Overall, from the z-scores, in class 1 and class 4, you have scored at the mean, in class 2 you have scored better than most of the students in the class and in class 3 you have scored worse than most of the students in the class.
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For the figure shown find m<1
The measure of angle "1" would be m∠1 = 123°.
What is an exterior angle theorem?
The exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle.
In the given figure, the measure of the exterior angle ∠1 is equal to the sum of the measures of the two non-adjacent interior angles 65° and 58°, therefore:
∠1 = 65° + 58°
∠1 = 123°
Hence, the measure of angle "1" would be m∠1 = 123°.
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Santa over did it for the holidays, again! In the new year he decides to go on a diet and start jogging. Below is Santa's running log for the week. Running Log Day Monday Tuesday Wednesday Thursday Friday Saturday Miles 4 ‡ 3 7/8 5 1/4 ? 4 1/4 If Santa's goal is to run 20 miles for the week, How many miles did Santa run on Friday to meet his goal?
Santa ran [tex]2\frac{1}{8}[/tex] miles on Friday to meet his goal of 20 miles a week.
What is a fraction?A fraction is a part of a whole. The number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
The expression will be;
[tex]4\frac{1}{2} + 3\frac{7}{8} + 5\frac{1}{4} + 0 + x + 4\frac{1}{4} = 20[/tex]
[tex]\frac{9}{2} + \frac{31}{8} + \frac{21}{4} + 0 + x + \frac{17}{4} = 20[/tex]
Multiplying through by 8
36 + 31 + 42 + 8x + 34 = 120
143 + 8x = 160
8x = 160 - 143
8x = 17
x = 17/8
x = [tex]2\frac{1}{8}[/tex] miles
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How much interest will you pay on a $100
loan at 11% simple interest for 2 years?
I = PRT
Answer:
I = $ 11.00
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 11%/100 = 0.11 per year,
then, solving our equation
I = 100 × 0.11 × 1 = 11
I = $ 11.00
The simple interest accumulated
on a principal of $ 100.00
at a rate of 11% per year
for 1 years is $ 11.00.
$22
Step-by-step explanation:Using the initial loan amount, interest rate, and term we can find the amount of simple interest paid.
Simple Interest
First, let's define simple interest. Simple interest is the simplest to calculate. Simple interest is calculated based on the initial loan, aka the principle (P). Compound interest, on the other hand, is calculated based on the principle and any accumulated interest.
Solving for Interest
We are given every value we need, so we can just plug them into the given formula. The principle is the initial $100 loan, so P = 100. The interest rate is 11%, but for the formula, we should use this in decimal form. This way r = 0.11. Then, we are told the total time is 2 years, so t = 2.
I = 100 * 0.11 * 2I = 22Function A and Function B are linear functions.
Function A Function B
X Y
3 11
9 23
10 25
Which statement is true?
The y-value of Function A when x=-4 is greater than the y-value of Function B when x=-4.
The y-value of Function A when x=-4 is less than the y-value of Function B when x=-4.
The statement which is true is that: B. the y-value of Function A when x = -4 is less than the y-value of Function B when x = -4.
How to determine the true statement?First of all, we would determine a linear equation that represents Function B by determining its slope using the point-slope form as follows;
y - y₁ = m(x - x₁)
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Substituting the given parameters into the point-slope formula, we have the following;
y - 11 = (23 - 11)/(9 - 3)(x - 3)
y - 11 = 12/6(x - 3)
y - 11 = 2(x - 3)
y - 11 = 2x - 6
y = 2x - 6 + 11
y = 2x + 5
Next, we would evaluate both Function A and Function B as follows:
y = x - 4
y = -4 - 4
y = -8.
Function B:y = 2x + 5
y = 2(-4) + 5
y = -8 + 5
y = -3.
Therefore, the output value (y-value or range) of Function A is lesser than that Function B.
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The following two-way frequency table shows information collected from a survey of attendees at a neighborhood meeting regarding how many people have a dog and how many people take walks in the neighborhood.
What is the probability that a randomly selected person does not take walks in the neighborhood but has a dog?
Write your answer as a fraction in simplest form, formatted like this: 2/7
The probability that a randomly selected person in the neighborhood does not take walks but has a dog is 7/26.
What is probability?Probability refers to the chance or likelihood that an expected outcome occurs when there are many possible chances of other outcomes.
Probability is the ratio or quotient obtained by dividing the expected outcome by the number of occurrences.
Probability can be expressed as a fraction, decimal, or percentage when it is not 100% certain or uncertain.
The total number of dog owners in the neighborhood = 78
The number of dog owners in the neighborhood who walks their dogs = 57
The number of dog owners in the neighborhood who do not walk their dogs = 21
The probability of randomly selecting a person who does not take walks but has a dog = 21/78 = 26.9% (21/78 x 100)
21/78 = 7/26
Thus, in fraction, the probability that a randomly selected person in the neighborhood has a dog but does not take walks is 7/26.
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Answer:
21/100
Step-by-step explanation:
just took the test
An order of macaroni and chickpeas weighs 9 pounds and costs $21.
Macaroni: $1.50 per pound
Chickpeas: $3.00 per pound
How many pounds of macaroni and chickpeas are in this order?
The number of pounds of macaroni in the order is 4 pounds and the number of pounds of chickpeas is 5 pounds.
How to find the order ?Let x be the number of pounds of macaroni and y be the number of pounds of chickpeas. Then, we can write the following system of equations:
x + y = 9 (the total weight of macaroni and chickpeas is 9 pounds)
1.5x + 3y = 21 (the total cost of macaroni and chickpeas is $21)
To solve for x and y, we can use the first equation to eliminate one of the variables.
If we substitute y = 9 - x into the second equation, we get:
1.5x + 3(9 - x) = 21
Expanding and simplifying:
1.5x + 27 - 3x = 21
-1.5x = -6
x = 4
So, there are 4 pounds of macaroni in the order. We can use the first equation to find out that there are 9 - 4 = 5 pounds of chickpeas in the order.
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if 2^4x = 16, then x = ?
Answer:
x = 1
Step-by-step explanation:
if 2^4x = 16, then x = ?
2^4x = 16
2^4x - 16 = 0
(16) ⋅ x + (−16) = 0
x = [- (- 16)] : 16
x = 1
Answer: The value of x is 1.
Step-by-step explanation: solution :
Here,
2^4x = 16
or, 2^4x = 2^4 (we should factor 16 by 2)
or, 4x = 4 (Here coefficient 2 is same. so, we shouldn't write it)
or, x = 4 ÷ 4
or, x = 1
Therefore, the value of x is 1.
III. (246)10 into hexadecimal
F60.
246 in hexadecimal is F6. When multiplied by 10, the result is F60.
A is (-8, -1), B is (-4, 1) and C is (12, 9)
a) Find the equation of the straight line joining A to B.
b) Find the equation of the straight line joining B to C.
The equation of the straight line joining A to B and the equation of the straight line joining B to C is y = 1/2x +3
What are the equations of the straight line?a ) The point A = [tex](x_1, y_1)[/tex] = (-8, -1)
The point B = [tex](x_2, y_2)[/tex] = (-4, 1)
The slope m is given by,[tex]m =\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\\\m=\frac{2}{4} \\\\m= \frac{1}{2}[/tex]
The slope - intercept form of an equation of a line is given by,y = mx +b --- (1)
Here, m = slope = 1/2 and b = y- intercept .Substituting the values of m and the point A = (-8, -1) in (1)-1 = 1/2 (-8) +b
b = 4- 1
b = 3
So, the y- intercept , b is 3.
Substituting the values of m and b in (1)y = 1/2x +3
The equation of the straight line joining A to B is y = 1/2x +3
b) The point B = [tex](x_1, y_1)[/tex] = (-4, 1)
The point C = [tex](x_2, y_2)[/tex] = (12, 9)
The slope m is given by,[tex]m =\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\\\m=\frac{8}{16} \\\\m= \frac{1}{2}[/tex]
The slope - intercept form of an equation of a line is given by,y = mx +b --- (1)
Here, m = slope = 1/2 and b = y- intercept .Substituting the values of m and the point B = (-4, 1) in (1)1 = 1/2 (-4) +b
b = 2 + 1
b = 3
So, the y- intercept , b is 3.
Substituting the values of m and b in (1)y = 1/2x +3
The equation of the straight line joining B to C is y = 1/2x +3
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find the value of x in the given right triangle
Answer:
what triangle
Step-by-step explanation:
What is the slope of the line?
m=?
Answer:
m=1/3
Step-by-step explanation:
slope is rise over run
go up 1 over 3
The diagram illustrates photosynthesis.
Which best describes what is happening in the area marked Y?
Oxygen is released into the atmosphere through stomata.
Carbon dioxide is released into the atmosphere through stomata.
Oxygen is released into the atmosphere through xylem.
Carbon dioxide is released into the atmosphere through xylem.
HELP I NEED BRAINLIEST QUICKLY
C. I'm not sure.....
stuck on this homework question and need some help.
Answer:
D. y = 2 1/16
Step-by-step explanation:
You want to know the value of f(x) when x = 1/4 and f(x) = x²+2.
Domain and RangeThe domain of a function is the set of values for which it is defined. The given function f(x) is defined for all values of x. However, the problem statement tells you the only domain value of interest is x = 1/4.
The range is the set of function values corresponding to the domain values. Here, the only range value of interest is the value of f(1/4).
EvaluationPut the value of the variable where the variable is in the function definition and do the arithmetic.
y = f(1/4) = (1/4)² +2 = 1/16 +2
y = 2 1/16
__
Additional comment
A calculator can help you evaluate an expression.
Answer: D
Step-by-step explanation:
The graph of y=- square root of x is shifted 2 units up and 5 units left. Which equation represents the new graph?
Answer: y = -√(x + 5) + 2.
y = -√x
Shifting these 2 units up produces the equation:
y = -√x + 2
Moving it 5 units to the left gives:
y = -√(x + 5) + 2.
Step-by-step explanation:
Question 4 of 10
At a high school, the probability that a a student is a senior is 0.25. The
probability that a student plays a sport is 0.20. The probability that a student
is a senior and plays sport is 0.08.
What is the probability that a randomly selected student plays a sport, given
that the student is a senior?
A. 0.08
B. 0.25
0.17
© D. 0.32
The probability that a randomly selected student plays a sport, given that the student is a senior will be 0.08. Then the correct option is A.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
At a secondary school, the likelihood that an understudy is a senior is 0.25. The likelihood that an understudy plays a game is 0.20. The likelihood that an understudy is a senior and plays a game is 0.08.
The probability that a randomly selected student plays a sport, given that the student is a senior will be 0.08. Then the correct option is A.
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Calculate the percent change in population size for each century, beginning with the
year 1500. The first calculation is completed below. Show your math, then write your
answers into the data table above.
From 1400 to 1500:
100,000,000 ÷ 350,000,000 = 0.29 (rounded to the nearest hundredth)
0.29 x 100 = 29%
The percentage change in the population from 1400 to 1500 will be 7.14%
How to calculate the percentage?A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.
The percentage change in the population from 1400 to 1500 will be:
= (1500 - 1400) / 1400 × 100
= 100/1400 × 100.
= 7.14%
Therefore, it can be seen that based on the calculation above, the percentage change will be 7.14%.
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if 4,500 people were surveyed, how many people felt that traffic improved in there area.
The number of people who felt that traffic improved in there area will be 1800.
How to calculate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
From the information, 2/5 felt that traffic improved in there area. If 4,500 people were surveyed, the number of people who felt that traffic improved in there area will be:
= 2/5 × 4500
= 1800
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In an area, 2/5 felt that traffic improved in there area. If 4,500 people were surveyed, how many people felt that traffic improved in there area.
Simplify the expression x^-2/y^4
The simplified expression would be [tex]\frac{1}{x^2y^4}[/tex].
What is an expression?
In mathematics, an expression is a combination of numbers, variables, and operators. Expressions can be simplified, evaluated or manipulated to solve problems or explore mathematical concepts. Expressions can be represented using algebraic notation, where variables are represented by letters and numbers, and operators are represented by symbols such as +, -, *, and /.
For example, 2x+3, 5y-7z, and 7+2x+3y/4 are all examples of expressions.
[tex]\frac{x^{-2}}{y^4}[/tex] can be simplified as [tex]x^{-2} * y^{-4}[/tex].
Then the resulting expression is
[tex]=x^{-2} * y^{-4} \\\\= \frac{1}{x^2} * \frac{1}{y^4} \\\\= \frac{1}{x^2y^4}[/tex]
Hence, the simplified expression would be [tex]\frac{1}{x^2y^4}[/tex].
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The points (80, 20) and (120, 30) form a proportional relationship. What is the slope of the line that passes through these points?
O 1
4
04
O 10
O 40
Answer:
1/4 is the slope of the line that passes through these points
Step-by-step explanation:
120 - 80 = 40
30 - 20 = 10
10/40
10/40 as a fraction simplified is 1/4 so y = 1/4x
Angles M and N are complementary, if the measure of angle N = 41 , then find the measure of angle M
Answer:
M=49
Step-by-step explanation:
Complementary angles are angles that add up to 90 degrees
To find angle M, we can simple do 90-4190 - 41= 49Angle M is 49 degrees
Which linear graph represents a proportional relationship? A graph of a straight line that passes through the points 0 comma 1 and 3 comma 0. A graph of a straight line that passes through the points 0 comma 0 and 1 comma 2. A graph of a straight line that passes through the points 0 comma negative 4 and 1 comma negative 4. A graph of a straight line that passes through the points 1 comma 0 and 1 comma 1.
A linear graph represents a proportional relationship include the following: C. A graph of a straight line that passes through the points 0 comma negative 4 and 1 comma negative 4.
What is a graph?In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate respectively.
Generally speaking, the graph of any proportional relationship is always characterized by a straight line with the data points starting from the origin (0, 0) and passes through other unique data points on the cartesian coordinate.
In this scenario, a graph of a straight line that passes through the data points (0, -4) and (1, -4) represents a proportional relationship because it would go through the origin (0, 0).
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A linear graph represents a proportional relationship include the following: C. A graph of a straight line that passes through the points 0 comma negative 4 and 1 comma negative 4.
What is a graph?
In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate respectively.
Generally speaking, the graph of any proportional relationship is always characterized by a straight line with the data points starting from the origin (0, 0) and passes through other unique data points on the cartesian coordinate.
In this scenario, a graph of a straight line that passes through the data points (0, -4) and (1, -4) represents a proportional relationship because it would go through the origin (0, 0).
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Find the value of x.
60
50
40
30
Answer:
x is 40.
Step-by-step explanation:
The triangle with all sides equal is an equilateral triangle, one you shouldn't be bothered about. This is because the angle of 100 has already been given. If you look at the diagram closely, you can see that the triangle in which angle x is present is an isosceles triangle. Since the top angle is already given, there is a formula to calculate the bottom angle, i.e., x.
The formula is : (180- the top angle, in this case 100) / 2
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