In 25 ways we can select 2-digit number from the given digits.
What is the Permutations?Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.
Given that, a two-digit number whose 1st digit it 0,1,2,3, or 4, and whose 2nd digit is 5,6,7,8, or 9.
Number of ways selecting 1st digit is
P(5, 1) = 5!/(5-1)!
= 5
Number of ways selecting 2nd digit is
P(5, 1) = 5!/(5-1)!
= 5
Now, 5×5=25
Therefore, in 25 ways we can select 2-digit number.
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What is the solution of the inequality shown
below?
y+7≤-1
The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.
To solve the inequality y + 7 ≤ -1, we need to isolate the variable y on one side of the inequality sign.
Starting with the given inequality:
y + 7 ≤ -1
We can begin by subtracting 7 from both sides of the inequality:
y + 7 - 7 ≤ -1 - 7
y ≤ -8
The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.
In the context of a number line, all values to the left of -8, including -8 itself, will make the inequality true. For example, -10, -9, -8, -8.5, and any other value less than -8 will satisfy the inequality. However, any value greater than -8 will not satisfy the inequality.
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The following question may be like this:
What is a solution of the inequality shown below? y+7≤-1
Are these utility functions risk-averse on some given interval [a,b] ? a. f(x)=ln(x),g(x)=e^x, h(x)=−x^2
b. f(x)=−ln(x),g(x)=−e^−x, h(x)=−4x^2−10x
c. f(x)=ln(x), g(x)=−1/(e^2x), h(x)=−x^2 + 2000x
d. f(x)=ln(x),g(x)=1/(e^2x), h(x)=−x^2+10,000x
e. f(x)=ln(−2x), g(x)=−1e^2x, h(x)=x^2−100,000x
f. f(x)=ln(−2x),g(x)=−1e^2x, h(x)=x^2−100,000x
The utility functions in options a, b, c, and f are not risk-averse on the interval [a,b], while the utility functions in options d and e are risk-averse on the interval [a,b].
In economics and finance, risk aversion refers to a preference for less risky options over riskier ones. Utility functions are mathematical representations of an individual's preferences, and they help determine whether someone is risk-averse, risk-neutral, or risk-seeking. A risk-averse individual would have a concave utility function, indicating a decreasing marginal utility of wealth.
For options a, b, c, and f, the utility functions are and f(x) = -ln(x), g(x) = \(-e^(^-^x^)\), h(x) = \(-4x^2\) - 10x, respectively. These utility functions do not exhibit concavity, which means they are not risk-averse. Instead, they either show risk-seeking behavior (options a and b) or risk-neutrality (options c and f).
On the other hand, options d and e have utility functions f(x) = ln(x), g(x) = 1/(e^(2x)), h(x) = \(-x^2\) + 10,000x and f(x) = ln(-2x), g(x) = -1/(\(e^(^2^x^)\)), h(x) = \(x^2\) - 100,000x, respectively. These utility functions display concavity, indicating a decreasing marginal utility of wealth. Thus, options d and e can be considered risk-averse on the interval [a,b].
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BESTIES,HELP PLS
All students in Ridgewood Junior High School either get their lunch in the school cafeteria or brought it from home on Tuesday. 20% of students brought their lunch. 31 students brought their lunch. How many students in total are in Ridgewood Junior High School?
Olivia wants to buy some vacant land for investment purposes. She cannot afford the full purchase price. Instead, Olivia pays the landowner $45,300 to obtain an option to buy the land for $906,000 anytime in the next four years. Fourteen months after purchasing the option, Olivia sells the option for $56,625. What is the amount and character of Olivia's gain or loss? She has of $
Olivia held the option for 14 months, which is neither short-term nor long-term. Therefore, her gain will be characterized as ordinary income.
Olivia wants to buy some vacant land for investment purposes. She cannot afford the full purchase price. Instead, Olivia pays the landowner $45,300 to obtain an option to buy the land for $906,000 anytime in the next four years.
Fourteen months after purchasing the option, Olivia sells the option for $56,625.The amount of Olivia's gain or loss and the character of the gain or loss can be calculated as follows:
Calculation of Olivia's gain or loss:
Olivia purchased an option for $45,300.
The option expired after 14 months without being exercised.
Olivia then sold the option for $56,625.
The gain or loss will be equal to the difference between the selling price and the cost of the option.
Gain = Selling price - Cost of option Loss = Cost of option - Selling priceFrom the given information;
The cost of the option was $45,300.The selling price was $56,625.Therefore, the amount of Olivia's gain is:Gain = Selling price - Cost of option= $56,625 - $45,300= $11,325Therefore, Olivia's gain is $11,325.The character of Olivia's gain or loss:In general, the gain or loss on the sale of an option is classified as either a short-term or long-term capital gain or loss. However, in this case, Olivia held the option for 14 months, which is neither short-term nor long-term. Therefore, her gain will be characterized as ordinary income.
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Find the ‘exact’ perimeter of each triangle
Answer:
The missing degree is 60, but the perimeter is 11 cm.
I hope this is correct, if it's incorrect, I'm sorry
the sum of two numbers is 10 and their difference is 4
Answer:
7 and 3
Step-by-step explanation:
7 + 3 = 10
7 - 3 = 4
Which equation represents the line with a slope of
5
6
that passes through the point
(
−
2
,
1
)
?
how much charge is enclosed by spheres of radii 5, 10, and 20 cmcm ?
Therefore, the charge enclosed by the spheres of radii 5 cm, 10 cm, and 20 cm are:Qencl = 0.0004 C and Qencl = 0.0036 C and Qencl = 0.0288 C.
To find the charge enclosed by spheres of radii 5 cm, 10 cm and 20 cm,
we need to use Gauss’s Law, which relates the electric flux through a closed surface to the charge enclosed by that surface. It states that the electric flux through a closed surface is proportional to the charge enclosed by that surface. Mathematically, Gauss’s Law is expressed as:
φE = Qencl/ε0
where,φ
E = electric flux through the surface
Qencl = charge enclosed by the surfaceε0 = permittivity of free space
Now, we have to find the charge enclosed by the spheres of radii 5 cm, 10 cm, and 20 cm.
Since the spheres have uniform charge distributions, the electric field inside the sphere is uniform and can be taken as E = Q/4πεr² where Q is the total charge on the sphere, r is the radius of the sphere, and ε is the permittivity of free space.
So, we have
Q = E × 4πεr²Q = k × QenclQencl = Q/k
where k = 1/4πε0Now, using the expression for charge enclosed, we can find the charge enclosed by each sphere:
Charge enclosed by sphere of radius 5 cmQencl = Q/k
Qencl = E × 4πεr²/k
Qencl = (9 × 10⁹ Nm²/C²) × [(3 × 10⁻⁵ m)² × 4π]/(1/4πε₀)
Qencl = 3πε₀ × (0.005m)² × 9C
Charge enclosed by sphere of radius 10 cmQencl = Q/k
Qencl = E × 4πεr²/kQencl = (9 × 10⁹ Nm²/C²) × [(10 × 10⁻⁵ m)² × 4π]/(1/4πε₀)
Qencl = 3πε₀ × (0.01m)² × 9CCharge enclosed by sphere of radius 20 cm
Qencl = Q/k
Qencl = E × 4πεr²/k
Qencl = (9 × 10⁹ Nm²/C²) × [(20 × 10⁻⁵ m)² × 4π]/(1/4πε₀)
Qencl = 3πε₀ × (0.02m)² × 9C
Therefore, the charge enclosed by the spheres of radii 5 cm, 10 cm, and 20 cm are:
Qencl = 0.0004 C
Qencl = 0.0036 C
Qencl = 0.0288 C
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) yx2x1 how do you write it in simplest form
Answer:
Y x 2
Step-by-step explanation:
2 x 1 simplified is 2 so 1 will be eliminated
4. Anna, Beate and Cindy buy a bag of 30 biscuits together. They get 10 biscuits each. But Anna has paid 80 cents, Beate 50 cents and Cindy 20 cents. How many more biscuits should Anna have got, if they had shared them in proportion with the amount they had each paid? (A) 10 (B)9 (C) 8 (D) 7 (E) 6
Answer:
Option E. 6.Step-by-step explanation:
80:50:20 or 8:5:2. 8 ÷ 15 * 30 = 16 = 16 - 10 = 6. This is the solution.
Option A. 30 + 10 = 40. Incorrect. The solution is unequal to this.Option B. 30 + 9 = 39. Incorrect. The solution is unequal to this.Option C. 30 + 8 = 38. Incorrect. The solution is unequal to this.Option D. 30 + 7 = 37. Incorrect. The solution is unequal to this.Option E. 30 + 6 = 36. Correct. The solution equals this answer.Option E will be the answer.
What is a reciprocal? a. What you get when you divide 1 by a number b. What you get when you divide a number by 1 c. Half of a number d. Ten times a
Answer:
get help from your teacher
Step-by-step explanation:
Answer:
the fifth one
Step-by-step explanation:
dwdw
What is 6m+ 5 - 3m=7 (m-1)
Please answer ASAP
Step-by-step explanation:
6m+5-3m=7(m-1)
3m+5=7m-1
5+1=7m-3m
6=4m
6/4=m
3/2=m
I think it is correct .
(a) Which function has the graph with the greatest y-intercept?
(b) Which function's graph is the least steep?
Answer:
a) function 1
b) function 4
Step-by-step explanation:
function 1 has a y-int of 4
function 2 has a y-int of 1
function 3 has a y-int of -5
function 4 has a y-int of -2
A least steep graph will have the smallest slope (disregarding negatives)
1: m= 4
2: m= -4
3: m= 2
4: m= -1
Form and solve an equation to find x
Perimeter = 42 cm
2x
- 3
Х
Х
2x – 3
-
Define the data either a sample or census.
Based on the given information, the only corporation that qualifies for the 100% dividends-received deduction is Albany Corporation, the Swiss corporation in which Macon has owned 13 percent of the outstanding stock for three years.
Which of the following will quality for the 100% dividends-received deduction?To qualify for the 100% dividends-received deduction, a U.S. corporation must meet certain requirements, including ownership percentage and holding period. In this case:
Macon owns 20 percent of Martyr Corporation (Italian) stock, but it acquired the investment within the last year, which does not meet the holding period requirement.Macon owns 5 percent of Lquitt, Inc. (Belgian) stock for over 10 years, but it does not meet the ownership percentage threshold for the deduction.Macon owns 30 percent of Jones, Inc. (U.S.) stock for the past five years, but the deduction is not applicable for U.S. corporations.So, the only eligible corporation for the 100% dividends-received deduction is Albany Corporation, the Swiss corporation, as Macon has owned 13 percent of its outstanding stock for three years.
Note: This question is incomplete. Here is the complete information:
Macon, Inc., a U.S.corporation, owns stock in four corporations operating overseas. Which of the following will quality for the 100% dividends-received deduction?
Martyr Corporation is an Italian corporation in which Macon owns 20 percent of the outstanding stock. Macon acquired its investment in Martyr within the last year. Lquitt, Inc. is a Belgian corporation in which Macon had owned 5 percent of the outstanding stock for over 10 years.Jones, Inc., Is a U.S. corporation operating primarily in Central America. Macon has owned 30 percent of Jones' stock for the past five years.Albany Corporation is a Swiss corporation in which Macon has owned 13 percent of the outstanding stock for three years.Learn more about companies in: https://brainly.com/question/30532251
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The data should be defined as follows;
a) sample
b) census
c) sample
d) census
What is a sample?In Statistics and science, a sample is a set of data that is collected or obtained from a population, based on a well-defined and unbiased sampling procedure.
A census refers to a strategic procedure that is used to systematically obtain, record, and calculate the population (number of people, houses, firms, etc.) of a country or region at a specific period of time.
In this context, we can broadly classify each of the data as follows;
"The percentage of repeat customers at a certain Starbucks on Saturday mornings" represents a sample."The number of chai tea latte orders last Saturday at a certain Starbucks." represents a census."The average temperature of Starbucks coffee served on Saturday mornings" represents a sample."The revenue from coffee sales as a percentage of Starbucks' total revenue last year" represents a census.In conclusion, we can logically deduce that a sample is an unbiased subset of any given population.
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Complete Question:
Define the data either a sample or census.
(a) The percentage of repeat customers at a certain Starbucks on Saturday mornings.
(b) The number of chai tea latte orders last Saturday at a certain Starbucks.
(c) The average temperature of Starbucks coffee served on Saturday mornings.
(d) The revenue from coffee sales as a percentage of Starbucks' total revenue last year.
SHOW YOUR WORK!
solve 6y + 8y =17 + 81
Answer:
y= 7
Step-by-step explanation:
6y + 8y =17 + 81
Combine like terms
14y = 98
Divide by 14
14y/14 = 98/14
y =7
Answer:
y=7
Step-by-step explanation:
Add 17 and 81 which is 98
then add 6y and 8y because they are also like terms which is 14y
now you have 14y = 98
then divide by 14 on both sides to get y by itself
then you will need to do 98/14 which is 7
answer is y=7
Write the equation to the graph below. Can someone help please I need this ASAP
Answer:
y=2x+3
Step-by-step explanation:
2 is the slope. 3 is the y intercept
A seagull is floating on the surface of the ocean when it takes off and flies upward at a rate of 4 ft per second. After 19 seconds, how far away from the surface of the water will the seagull be?
Answer:
d = 76 m
Step-by-step explanation:
It is given that, the speed of 4 ft per second when it takes off and flies upward
We need to find how far away from the surface of the water will the seagull be after 9 seconds.
Speed is distance over time.
So,
Distance, d = vt
d=4 ft/s × 19 s
d=76 meters
So, the seagull will be at a distance of 76 m from the surface of water.
29/6
Write as a mixed number
Answer:
4 5/6
Step-by-step explanation:
This would be the answer as a mixed number
Answer:
4 5/6
Step-by-step explanation:
6x4=24
24+5+29
Which fraction is equivalent to 0.36¯¯¯¯¯?
3/9
4/11
4/9
5/11
can u help me pls I need the answer now .
Answer:
m<ACB = 60°
Step-by-step explanation:
B is a right angle, so its 90°
180-150=30°
180-90=90°
90+30= 120°
180-120= 60°
30+60+90= 180°
In a linear regression analysis with the usual assumptions, which one of the following quantities is the same for all individual units in the analysis?
a. Leverage hii b.s{Yi) c. S{ei) d. s{Yi}
A linear regression analysis involves the estimation of coefficients and the prediction of the dependent variable based on the independent variable.
In a linear regression analysis with the usual assumptions, s{ei} is the quantity that is the same for all individual units in the analysis. Let's explore each option in detail:a. Leverage hii: Leverage is the measure of an observation's influence on the estimation of coefficients. It helps in identifying the outlying observations that affect the estimates of the regression coefficients. Therefore, leverage values are different for different individual units.b. S{Yi}: It is the standard deviation of the dependent variable. The standard deviation is a measure of the spread of the data around the mean. Each individual unit has different values of Y, so the standard deviation of Y would also differ for different units.c. S{ei}: The standard error of the residuals, also known as the standard deviation of the residuals, measures the variability of the residuals around the regression line. This quantity is the same for all individual units in the analysis because the residuals are calculated as the difference between the actual and predicted values of Y, which is the same for all units.d. s{Yi}: This is the same as the standard deviation of Y, and it measures the spread of the dependent variable. Since the values of Y differ for different units, the standard deviation of Y would also differ for different units.Therefore, option c. S{ei} is the quantity that is the same for all individual units in the analysis. The other options differ for different units. A linear regression analysis involves the estimation of coefficients and the prediction of the dependent variable based on the independent variable. The usual assumptions of a linear regression model include linearity, independence, normality, and equal variance.
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Could anyone explain?
Both Isaac and Micah are using a compass and straightedge for their constructions.
The similarities between their construction steps include:They both start by drawing a line segment.They both use a compass to mark points on the line segment.They both use a straightedge to connect the marked points.The differences between their construction steps are:
Isaac is constructing congruent segments, which means he is dividing the original line segment into equal parts, while Micah is constructing a segment bisector, which means he is dividing the line segment into two equal parts and finding the midpoint.
Isaac only needs to mark one point on the line segment with his compass to get two congruent segments, while Micah needs to mark two points and then find the midpoint between them.
The final results of their constructions are different: Isaac will have two congruent line segments, while Micah will have one line segment bisector that splits the original line segment in half.
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Which system type is a linear system with no solution?A) Consistent dependentB) DependentC) Consistent independentD) Inconsistent
SOLUTION
I believe the following explanation should help to answer
A consistent system is a system that has at least one solution.
If a consistent system has exactly one solution, it is independent.
If a consistent system has an infinite number of solutions, it is dependent.
But, If a system has no solution, it is said to be inconsistent
Hence the answer is Inconsistent, option D
The product of 2 decimals is 0. 36
What might the decimals be? Find as many answers as possible
Answer:
Step-by-step explanation:
we will find all the factors of 36 and then go for their decimals
.2 * 1.8 = .36
.3 * 1.2 = .36
.4 * .9 = .36
.6 * .6 = .36
A train travels at a constant speed during a portion of its cross county route the table shows the distance the train traveled over different intervals of time at this speed.
what is the Speed of the train in Miles per hour?
The Speed of the train in Miles per hour will be 105 miles per hour.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
A train travels at a constant speed during a portion of its cross-country route the table shows the distance the train traveled over different intervals of time at this speed.
The slope represents the speed of the train. Then we have
m = (157.5 - 131.25) / (1.50 - 1.25)
m = 26.25 / 0.25
m = 105 miles per hour
The Speed of the train in Miles per hour will be 105 miles per hour.
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Please help- will give brainlist. I would appreciate if you told me how you got the answer but you don’t have to
Answer:
66
Step-by-step explanation:
18+15+18+15
Answer: The answer is 66 18+15+18+15.
Triangle FGH is similar to triangle A B C
Answer:
x is 12
Step-by-step explanation:
» From scalar properties:
\({ \tt{ \frac{FG}{FH} = \frac{AB}{AC} }} \\ \\ { \tt{ \frac{9}{6} = \frac{18}{x} }} \\ \\ { \tt{x = \frac{18 \times 6}{9} }} \\ \\ { \boxed{ \tt{ \: x = 12 \: }}}\)
For her final project, stacy plans on surveying a random sample of students on whether they plan to go to florida for spring break. From past years, she guesses that about % of the class goes. Is it reasonable for her to use a normal model for the sampling distribution of the sample proportion? why or why not?.
Yes, it is reasonable for her to use a normal model for the sampling distribution of the sample proportion. In this case, less than ten efforts have been successful. Since 5 is a lot less than 10, this is the case.
Because the data don't fit the success and failure criteria, it is not appropriate to adopt a normal model for a sampling of the sample distribution.
50 students make up the sample. The probability that she assumes 10% of the group will attend is 10%.
It will be demonstrated by:
1 - p = 1 - 10% = 1 - 0.10 = 0.90
np = 50 × 0.1 = 5. This suggests the number of victories.
Less than 10 attempts have succeeded in this instance. 5 is much less than 10, hence this case. As a result, the data does not satisfy the requirement.
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The question is -
For her final project, Stacy plans on surveying a random sample of 50 students on whether they plan to go to Florida for spring break. from past years, she guesses that about 10% of the class goes. is it reasonable for her to use a normal model for the sampling distribution of the sample proportion? why or why not?
Two consecutive odd whole numbers are selected. The difference between the reciprocals of the two numbers is 2/143. Determine the two numbers.
Answer:
The numbers are 11 and 13
Step-by-step explanation:
Let
the first odd whole number=x
Reciprocal=1/x
Second odd whole number=x+2
Reciprocal=1/x+2
The difference
(1/x) - 1/(x+2)=2/143
(x+2)-x / (x)(x+2)=2/143
x+2-x/x(x+2)=2/143
2/x(x+2)=2/143
2(143)=2(x^2+2x)
286=2x^2+4x
2x^2+4x-286=0
x^2+2x-143=0
Solve the quadratic Equation
x=-b +or- √b^2-4ac/2a
a=1
b=2
c=-143
x= -b +or- √b^2-4ac/2a
=-2 +or- √(2)^2-(4)(1)(-143) / 2(1)
= -2 +or- √4-(-572) / 2
= -2 +or- √4+572/2
= -2 +or- √576/2
= -2 +or- 24/2
x= -2+24/2
= 22/2
=11
Or
x= -2-24/2
= -26/2
= -13
Taking the positive value
x=11
The second odd whole number=x+2
=11+2
=13