Answer:
Step-by-step explanation:
(-1/8)t = 4
solve for t
(-8)(-1/8)t = (-8)4
t = -32
Find the Unit Rate. 7 Dollars per 3 Apples. Round to the nearest hundredth.
Answer:
2.3
Step-by-step explanation:
\(\frac{Dollars}{Apples}\)
When we find Unit Rate we divide the biggest number to the smallest number
\(\frac{7}{3}\) = 2.3
Hope this helped!
(Expected rate of return and risk) B. J. Gautney Enterprises is evaluating a security. One-year Treasury bills are currently paying 4.8 percent. Calculate the investment's expected return and its standard deviation. Should Gautney invest in this security? Probability 0.20 Return - 4% 4% 7% 0.45 0.15 0.20 10% (Click on the icon in order to copy its contents into a spreadsheet.) ...) a. The investment's expected return is%. (Round to two decimal places.)
The investment's expected return is 5.95%.
Is the investment's expected return favorable for Gautney?The expected return of an investment is calculated by multiplying the probabilities of each possible return by their respective returns and summing them up. In this case, Gautney Enterprises has provided the probabilities and returns for the investment. By applying the formula, we find that the expected return is 5.95%.
To calculate the standard deviation, we need to determine the variance first. The variance is computed by taking the difference between each possible return and the expected return, squaring those differences, multiplying them by their respective probabilities, and summing them up. Once we have the variance, the standard deviation is simply the square root of the variance. The standard deviation measures the degree of risk associated with an investment.
In this scenario, the expected return of the investment is 5.95%, but we need to consider the standard deviation as well to assess the risk. If the standard deviation is high, it indicates a greater level of uncertainty and potential volatility in returns. A low standard deviation implies a more stable investment.
Without the specific values for each return and their respective probabilities, we cannot calculate the exact standard deviation. However, Gautney Enterprises should compare the calculated expected return and the associated standard deviation to their risk tolerance and investment objectives. If the expected return meets their desired level of return and the standard deviation aligns with their risk appetite, they may consider investing in this security.
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James has a bicycle. Each wheel has diameter 45cm. James cycles his bicycle in a straight line in the playground. The front wheel makes 15 complete revolutions. How far does the bicycle travel? Give your answer in metres.
Answer: 21.21 meters
Step-by-step explanation:
Hi, to answer this, first we have to calculate the circumference (C) of the wheel:
C = π x diameter
Replacing with the values given:
C = π x 45 = 141.37 cm
Then we multiply it by the number of revolutions:
141.37 x 15 = 2,120.6 cm
Since
1 cm = 0.01 m
2,120.6 x 0.01 = 21.21 meters
Feel free to ask for more if needed or if you did not understand something.
researcher created three groups based on participants BMI: normal weight, overweight and obese. The hypothesis being tested is that the three groups differ in the mean number of artificially sweetened drinks consumed weekly. Which statistical test might the researcher use, assuming a reasonable normal distribution of values?
A repeated measures ANOVA
An independent group t test
One way ANOVA
A chi-squared test
To test the hypothesis of mean differences in artificially sweetened drink consumption among BMI groups, assuming a normal distribution, the researcher might use a one-way ANOVA.
The one-way ANOVA compares the means of three or more independent groups and determines if there are statistically significant differences among them. In this case, the BMI groups (normal weight, overweight, and obese) represent the independent groups, and the number of artificially sweetened drinks consumed is the dependent variable. By conducting a one-way ANOVA, the researcher can assess if there are significant differences in mean consumption among the BMI groups and draw conclusions regarding their hypothesis.
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PLEASE HELP ASAP WILL GIVE BRAINLIEST IF CORRECT
what is 15x + 21x/2??
Answer:
25.5x
Step-by-step explanation:
Simply convert the fraction into a decimal and add.
21/2x = 10.5x
10.5x + 15x = 25.5x
If you want to keep it in fraction form, 15 is 30/2, so,
30x/2 + 21x/2 = 51x/2
Answer:
51x/2
Step-by-step explanation:
Add it like a normal fraction equation
Have them both with the same denominator of 2
30/2 + 21/2
Add the numerators
51/2
Now put the x into the numerator since it started as in the numerator
Answer: 51x/2
Hope this helps!
Your bill at a restaurant is $84.90. What will the tip be if you leave 20% for the server?*
$169.80
$1.70
$16.98
$84.90
Answer:
$16.90
Step-by-step explanation:
20% of $84.80 is $16.90
I need help! Is p+9=2p-3 a one solution, no solution or infinitely Many solutions?
Answer: One solution
Step-by-step explanation:
dodie wants to plant roses in her triangular plot. there will be 1 plant at a corner. starting from that corner, each row will have 5 more plants than the row before it. she has 160 rose plants and wants the plot to have as many rows as possible. how many rows will dodie's plot have
Dodie's triangular plot with 160 rose plants will have 12 rows.
To solve it,
Assigning a variable to the number of rows we want to find. Assume that this variable is "n".
Since there are 5 more plants in each row than in the previous row,
We can use an arithmetic sequence to represent the number of plants in each row.
Specifically, the first row will have 1 plant, and the second row will have
1 + 5 = 6 plants, the third row will have 1 + 5 + 5 = 11 plants, and so on.
The formula for an arithmetic sequence is,
an = a1 + (n-1)d
Where an is the nth term of the sequence,
a1 is the first term,
And d is a common difference.
Using this formula, we can write an expression for the total number of plants in all n rows,
160 = n/2 (2 + (n-1)5)
Simplifying this equation, we get,
160 = 2.5n² + 2.5n - 5
Now we can solve for n using the quadratic formula,
n = (-2.5 ± √(2.5²+ 4(2.5)(165)))/(2(2.5))
After simplifying this equation, we get two solutions,
n = -13.2 and n = 12.2.
Since we can't have a negative number of rows, we'll take the positive solution, n = 12.2.
Now, since we can't have a fraction of a row, we'll round down to the nearest integer.
Therefore, Dodie's plot will have 12 rows.
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Frank bought n oranges. Carlos bought 8 fewer oranges than Frank. In terms of n, how many oranges did Carlos buy?
A. n + 8
B. n - 8
C. 8 - n
D. 8 - 8n
The number of oranges that Carlos bought is n - 8. n is variable.
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one math operation, and a sentence. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator).
The alphabetic character that expresses a numerical value or a number is known as a variable in mathematics. A variable is used to represent an unknown quantity in algebraic equations.
Any alphabet from a to z can be used for these variables. Most frequently, the variables "a," "b," "c," "x," "y," and "z" are used in equations.
Given that Frank bought n oranges. Carlos bought 8 fewer oranges than Frank.
The number of oranges that Frank bought is more than the number of oranges that Carlos.
The number of oranges that Carlos bought is n - 8.
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Answer:
b just took the test and i put c trust me it is b
Step-by-step explanation:
It costs james $4 to make an order of a dozen cookies. if he sells them for $16, what percentage is each order of cookies marked up? 400% 300% 75% 25%
The markup value over the each order of cookies is 300%. Thus option B is correct.
According to the statement
we have given that the James costs $4 to make an order of dozen cookies and selling prices is $16 and we have to calculate the markup on the order of cookies.
So, For this purpose, we know that the
Markup formula calculates the amount or percentage of profits derived by the company over the product's cost price.
The formula to calculate markup is :
Markup = (selling cost - production cost / production cost) *100
So, Substitute the formula in it then
Markup = (selling cost - production cost / production cost) *100
Here selling cost = $16 and production cost is $4
So,
Markup = (selling cost - production cost / production cost) *100
Markup = (16 - 4 / 4) *100
Markup = 3 *100
Markup = 300%.
So, The markup value over the each order of cookies is 300%. Thus option B is correct.
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Answer:
it is 400%
Step-by-step explanation:
$4* 400%= 16
what is the volume of 5cm 3 cm 2cm
What is the volume of a sphere with a radius of 60.5 ft, rounded to the nearest tenth
of a cubic foot?
Answer:
If rounded to the nearest tenth of a cubic foot, would be: 927587.2
Step-by-step explanation:
The equation of finding the equation of the volume of a sphere is "4π\(\frac{radius^{3} }{3}\)"
If values are inserted in for radius as 60.5, the answer will be 927587.2 when rounded to the nearest tenths.
Hope this helps!
Help PLEASE I forgot how to do this :'(
Answer:
C) The sum of the first 2 terms after the fourth term.
suppose that 15% of people own dogs. if you pick two people at random, what is the probability that they both own a dog?
Probability that both the person own the dog is equal to 0.0225.
What is Probability ?The likelihood that an event will occur is measured by probability. It is difficult to provide a complete prediction for many events. Using it, we are only able to estimate the likelihood that an event will occur, or the chance that it will. Between 0 and 1, where 1 denotes a certain event and 0 denotes an impossibility, is the range of probabilities.
Let event A denotes that a person own dog,
P(A) = 15% =15/100 = 0.15
If we pick two people at Random then Probability that they both own dog
= P(A)*P(A)
= 0.15 * 0.15
= 0.0225
Required Probability = 0.0225
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Verbal
2. What is the difference between the input and the output of a function?
The input and the output of a function are key components in understanding how a function operates. The input refers to the value or values that are given to the function as an argument, while the output refers to the result or results that the function returns after processing the input.
In other words, the input is what you provide to the function, and the output is what you get in return. The input can be a single value or a set of values, depending on the requirements of the function. The output can also be a single value or a collection of values, again depending on the function's purpose.
It's important to note that the input and output of a function are not always the same. The function may perform calculations or transformations on the input, and the output may be different from the input. This transformation is what gives functions their ability to perform specific tasks and solve problems.
In summary, the input is what you give to a function, and the output is what you get in return after the function processes the input.
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Need help now! fist gets brainlest
Answer:
x=88
Step-by-step explanation:
180-48-44=88
88+48+44=180
which one!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
87.6
Step-by-step explanation:
The graph of a system of two linear equations is shown.
What is the solution to the system of equations?
Answer: (4,7)
Step-by-step explanation:
Find the intersection of the graph and plot it.
Parallelogram F"G"H"J" is the final image after the rule
was applied to parallelogram FGHJ.
Parallelogram F double-prime G double-prime H double-prime J double-prime has points (3, 4), (2, 2), (4, 2), (5, 4).
What are the coordinates of vertex F of parallelogram FGHJ?
(–2, 2)
(–2, 6)
(–3, 4)
(–4, 2)
Answer:
(–2, 2)
Step-by-step explanation:
Answer:
AAAAAA
Step-by-step explanation:
16 out of 25 dog owners prefer walks. What percentage of dog owners prefer walks?
16/25 is 64%
64% of owners prefer walks
which expression is in simplest form?
Answer:
A.
Step-by-step explanation:
let me know if you want an explanation :))
Which of the lines below match the function given? y = x + 5 A graph with 4 lines, labeled A, B , C, and D. Line A contains the points 0 comma 0, and 2 comma 2. Line B contains the points 0 comma 5, and 2 comma 7. Line C contains the points 0 comma 0, and 2 comma 4. Line D contains the points 0 comma 2, and 1 comma 5.
Therefore , the solution of the given problem of function comes out to be Line B to the function y = x+5.
Describe function.On the midterm exam, there will be a variety of inquiries in each subject, including inquiries concerning both hypothetical and actual places as well as inquiries relating the creation of numerical variables. a diagram showing the relationships between different elements that cooperate to generate the same result. A service is composed of numerous distinctive components that cooperate to create distinctive results for each input.
Here,
The function is represented as
=> y = x + 5, which has a y-intercept of 5, a slope of 1, and a slope of 1.
By comparing the slope and y-intercept of each line to those of the function, we may determine which line best fits it.
Line A does not fit the function because it has a slope of 1 and a y-intercept of 0.
The function y = x + 5 is satisfied by line B, which has a slope of 1 and a y-intercept of 5.
Line C does not fit the function because it has a slope of 2 and a y-intercept of 0.
Line D does not fit the function because it has a slope of 3 and a y-intercept of 2.
Line B therefore corresponds to the function y = x+5.
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I’m not sure I need help
Answer:
D) \(1 < x\leq 4\)
Step-by-step explanation:
1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)
RuthAnn is 28 years old and is retiring at the age of 65. When she retires, she estimates that she will need an annual
income of $32,523 for 30 years. If RuthAnn contributes 11% of her annual income to a 401(k) paying 7.1% compounded
annually, will she reach her goal for retirement given that her annual income is $36,278.13? If she does not make her goal
then state by what amount she will need to supplement her income. Round all answers to the nearest cent.
a. RuthAnn will meet her annual goal of exactly $32,523 for retirement.
b. RuthAnn will meet her annual goal of $32,523 for retirement with an excess of $20,791.60.
C. RuthAnn will not make her annual goal of $32,523 and will need $1,039.85 to supplement her
yearly income when she retires.
d. RuthAnn will not make her annual goal of $32,523 and will need $10,395.80 to supplement her
yearly income when she retires.
Answer: It is B. RuthAnn will meet her annual goal of $32,523 for retirement with an excess of $20,791.60.
Step-by-step explanation:
Sasha ordered a kite online. When it arrived, the kite was missing the crossbar. What length crossbar does Sasha need to complete the kite?
2ft 2ft crossbar
The length of crossbar that Sasha need to complete the kite is equal to √8 units.
How to determine the length of the crossbar?By critically observing the image of the kite shown below, we can logically deduce that the crossbar and the two (2) given lengths formed a right-angled triangle as illustrated by the right angle symbol between the two given sides.
In order to determined, we would have to apply Pythagorean's theorem. Mathematically, Pythagorean's theorem is given by this mathematical expression:
a² + b² = c²
Where:
a, b, and c represents the side lengths of a right-angled triangle.
Substituting the given parameters into Pythagorean's theorem, we have the following;
c² = a² + b²
c² = 2² + 2²
c² = 4 + 4
c = √8 units.
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which situation can be modeled by a linear function
Situation can be modeled by a linear function, A situation that involves a constant rate of change can be modeled by a linear function.
A linear function is a mathematical representation of a relationship between two variables that forms a straight line when plotted on a graph. It is characterized by a constant rate of change between the variables.
In a linear function, the dependent variable (y) changes at a constant rate for every unit change in the independent variable (x). This means that as x increases or decreases by a fixed amount, y also changes by a consistent amount.
Situations that exhibit a constant rate of change can be effectively modeled by linear functions.
Examples include scenarios such as distance traveled over time at a constant speed, the growth of a bank account with a fixed interest rate, or the cost of an item per unit.
In these cases, the relationship between the variables can be represented accurately using a linear equation or function.
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Situation can be modeled by a linear function, A situation that involves a constant rate of change can be modeled by a linear function.
A linear function is a mathematical representation of a relationship between two variables that forms a straight line when plotted on a graph. It is characterized by a constant rate of change between the variables.
In a linear function, the dependent variable (y) changes at a constant rate for every unit change in the independent variable (x). This means that as x increases or decreases by a fixed amount, y also changes by a consistent amount.
Situations that exhibit a constant rate of change can be effectively modeled by linear functions.
Examples include scenarios such as distance traveled over time at a constant speed, the growth of a bank account with a fixed interest rate, or the cost of an item per unit.
In these cases, the relationship between the variables can be represented accurately using a linear equation or function.
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In the figure below, C is between A and D, and B is the midpoint of AC. If BC=5 and AD = 18, find CD.
CD =
B
D
X
G
A midpoint is a point that divides a line into 2 equal smaller lines.
Therefore, given that B is the midpoint of AC, AB = BC.
BC = 5 -> AB = 5.
So, AC = 5 + 5 = 10.
We're given AD = 18, and AD is also equal to AC + CD.
AC = 10, therefore CD = 18 - 10 = 8.
a sphere has a radius of 6 units. if the radius is tripled, by what factor does the volume increase?
Answer:
Original volume = (4/3)π(6^3) = 288π
New volume = (4/3)π(18^3) = 7,776π
7,776π ÷ 28π = 27
When the radius of a sphere is tripled, the volume of the new sphere is 27 times the volume of the old sphere.
Stage hands set up a new stage for a concert in the arena every 1.5 days. Use proportional reasoning to find the value of x that completes the table showing this relationship. (Please help ASAP)
Answer:
6
Step-by-step explanation:
You have to divide
Answer:
6
Step-by-step explanation:
10. A piece of cardboard is 12 x 15 inches. What is the max volume of an open-roof box that can be formed by folding up the sides to create a height of x? ROUND ANSWER TO THE NEAREST WHOLE NUMBER
Answer:
180 fr
Step-by-step explanation:
its too hard