A system of equations to have no real solution, the lines of the equations must be parallel to each other. There were 10 multiple choice question, while 15 descriptive type questions.
What is System of equation?Inconsistent System
A system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.
Let the number of multiple choice questions be represented by x, while the number of descriptive questions be represented by y. Therefore, the total questions can be written as,
x + y = 25
Solving for x,
y = 25 - x
The total score of Ronald can be written as,
3x + 8y = 150
3x + 200 - 8x = 150
-5x = -50
x = 10
Substitute the value of x in any one of the equation,
x + y = 25
10 + y = 25
y = 15
Hence, there were 10 multiple choice question, while 15 descriptive type questions.
Learn more about System of equation:
https://brainly.com/question/12895249
#SPJ1
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Completely factor the following expressions.
Answer:
assuming that the equations are equal to zero the answers would be
3 , -3 , 5
Step-by-step explanation:
Identify the like terms in the expression 7x+4y+3y+7
a 7x and 7
b 4y and 3y
c 7
d 7, 4, 3
The snallest flowering plant is the flowering aquatic duckweed found in australia. it is 0.0236 inch long and 0.0129 inch wide. write these dimensions as fractions in simplest form.
The dimension of the smallest flowering plant is 59/2500 in. long and 129/10,000 in. wide.
To convert Decimal into Fraction form:
Do the following Steps:
Step 1: Make a fraction with the decimal number as the numerator and a 1 as the denominator.
Step 2: Remove the decimal places by multiplication.
Step 3: Reduce the fraction.
Step 4: Simplify the remaining fraction to a mixed number fraction if possible.
Given,
The smallest flowering plant is the flowering aquatic duckweed found in Australia.
And it is 0.0236 inch long and 0.0129 inch wide.
Here we need to write these dimensions as fractions in simplest form.
Rewrite the decimal number as a fraction with 1 in the denominator
So,
=> 0.0236/1 and 0.0129/1
Now, Multiply to remove 4 decimal places. Here, you multiply top and bottom by 10⁴ = 10000.
Then we get,
=> 236/10000 and 129/10000
Now, reduce the fraction by dividing both numerator and denominator by GCF = 4,
=> 59/2500
But the fraction 129/10000 is not reducible.
Therefore, the fraction form is,
=> 59/2500 in. long and 129/10,000 in. wide.
To know more about Fractions here.
https://brainly.com/question/10354322
#SPJ4
Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
A² + B² = C²
5² + x² = 9²
25 + x² = 81
x² = 81 – 25
x² = 56
x = √56
x = 7.483
x = 7.48
x = 7.5
I hope I helped you^_^
Eight avocados cost $4. How much is 1 avocaodo?
The cost of one avacado is equal to 0.5$ and it is found by the use of division method.
One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. an a person who knows what I mean by just calling it what they do when they just want to go to the store. Just call it what they call it, whatever ites. Really, whatever it is, these are the same people. It is a mathematical operation used for equal distribution and equal grouping.
One of the fundamental mathematical operations is division, which involves breaking a larger number into smaller groups with the same number of items.
We are given the cost of 8 avacados= $4.
The cost of 1 avacado= 1/8 * 4 = 1/2 = 0.5.
Hence, the cost of one avacado is equal to $0.5.
To know more about division method go through:-
https://brainly.com/question/28119824
#SPJ4
11. Given: 17 - 3(w + 5) = 6(w + 5) - 2w;
Prove: w = -4
Statements
Reasons
11.17-3(3+5)=6(W+5)-2W
2.17-30-15= 60 +30 -2W
3.-3W +2 = 4W+30
4. -7W +2=30
5. -W=28
1. W= -4
Answer:
Step-by-step explanation:
Statements Reasons
1). 17 - 3(w + 5) = 6(w + 5) - 2w 1). Given
2). 17 - 3w - 15 = 6w + 30 - 2w 2). Distributive property
3). -3w + 2 = 4w + 30 3). Addition property of equality
4). -7w + 2 = 30 4). Subtraction property of equality
5). -7w = 28 5). Subtraction property of equality
6). w = -4 6). Division property of equality
Draw a pair of intersecting lines that forms a pair of complementary angles. Explain your reasoning.
A pair of intersecting lines that forms a pair of complementary angles is as drawn below.
What are the pair of complementary angles?
Remember that complementary angles are defined as angles which sum is equal to 90°.
Besides, each of the pairs of opposite angles made by two intersecting lines are called vertical angles. Now, from congruent proofs, we know that that vertical angles are congruent. In another words, they have the same measure.
Thus, we have to draw two vertical angles that measure:
90° ÷2 = 45°
This image is as drawn below in the attached file.
Read more about Complementary angles at; https://brainly.com/question/16281260
#SPJ1
when making an ice cream sundae, you have a choice of 4 types of ice cream flavors: chocolate (c), vanilla (v), moos tracks (m) or dark chocolate (d); a choice of 3 types of sauces: hot fudge (h), butterscotch (b) or strawberry (s); and a choice of 2 types of toppings: whipped cream (w) or fruit (f). if you are choosing only one of each, list the sample space in regard to the sundaes (combinations of ice cream flavors, sauces, and toppings) you could pick from.
There are 4 ice cream flavors :
chocolate (c), vanilla (v), moos tracks (m), and dark chocolate (d).
There are 3 types of sauces :
hot fudge (h), butterscotch (b), and strawberry (s).
There are 2 types of toppings :
whipped cream (w) and fruit (f)
The sample space are the combinations of ice cream flavors, sauces and toppings with one of each kind.
Listing down the sample spaces as {flavors, sauces, toppings}, will give us :
{c,h,w}, {c,h,f}, {c,b,w}, {c,b,f}, {c,s,w}, {c,s,f}
{v,h,w}, {v,h,f}, {v,b,w}, {v,b,f}, {v,s,w}, {v,s,f}
{m,h,w}, {m,h,f}, {m,b,w}, {m,b,f}, {m,s,w}, {m,s,f}
{d,h,w}, {d,h,f}, {d,b,w}, {d,b,f}, {d,s,w}, {d,s,f}
All in all, there are 24 sample spaces, which is also the product of 4 flavors, 3 sauces and 2 toppins (4 x 3 x 2 = 24)
Jestion 8/10
To file your federal and state taxes you
can use tax preparation software for federal taxes,
but can't for state taxes
must prepare the same tax forms for both
can use tax preparation software for state taxes,
but can't for federal taxes
must prepare different forms for each type of
government (if your state requires it) on
Tax prep software can be used for federal taxes but not always for state taxes, which may require separate forms.
While documenting your government and state charges, you have a couple of choices for how to plan and submit them. One choice is to involve charge planning programming for government charges, which can simplify the cycle and more smoothed out.
In any case, you for the most part can't involve a similar programming for state charges, as each state has its own expense code and necessities.
All things being equal, you might have to set up your state burdens independently, either by finishing up paper structures or utilizing separate duty readiness programming planned explicitly for your state.
A few states bring concurrences with specific expense programming suppliers to the table free or limited programming to occupants, so it merits checking with your state's duty position to see what choices are accessible to you.
It's critical to take note of that while government and state burdens frequently require comparative data, they might require various structures and estimations, so giving close consideration to the particular prerequisites for each kind of tax is significant.
Furthermore, on the off chance that you live in an express that doesn't have a personal expense, you may just have to record a government expense form.
To learn more about tax preparation software, refer:
https://brainly.com/question/25828729
#SPJ1
Cash price 550 000 installment 4500 per month repayment term 240 months determine the total amount if the installment option is used?
if the installment option is used, the total amount paid over the 240-month term would be $1,080,000. This includes both the principal amount of $550,000 and the interest accumulated over the repayment period.
To determine the total amount if the installment option is used, we need to calculate the total repayment over the 240-month term.
The installment amount per month is $4,500, and the repayment term is 240 months.
Total repayment = Installment amount per month * Repayment term
Total repayment = $4,500 * 240
Total repayment = $1,080,000
Therefore, if the installment option is used, the total amount paid over the 240-month term would be $1,080,000. This includes both the principal amount of $550,000 and the interest accumulated over the repayment period.
Learn more about installment here:
https://brainly.com/question/11468274
#SPJ11
The figure below is dilated with a Center of dilation at the origin and a scale factor of 1/2. what are the coordinates of the image of point A after this transformation?
look at the picture
The coordinates of the image of point A after the figure is dilated with the center of dilation given, is (-3, 1).
How to find the coordinates ?When a figure is dilated with a center of dilation at the origin and a scale factor of 1/2, the coordinates of each point are multiplied by the scale factor.
To find the coordinates of the image of point A after this transformation, multiply the coordinates of A by the scale factor 1/2:
A' = (1/2)(-6, 2)
A' = (-6 x 1/2, 2 x 1/2)
A' = (-3, 1)
So, the coordinates of the image of point A after the dilation are (-3, 1).
Find out more on dilation at https://brainly.com/question/30210369
#SPJ1
Can someone do this for me please
Answer:
p=5/8
Step-by-step explanation:
you first have to work out the brackets
5p+7=3(4-p)
5p+7=12-3p
then you have to group the like terms
5p+3p=12-7
8p=5
8p/8=5/8
p=5/8
you can also live it as a decimal
I hope this helps
Answer: p = 5/8
Explanation:
⇒5p + 7 = 3(4 -p)
⇒5p + 7 = 12 - 3p
⇒5p + 3p = 12 - 7
⇒8p = 5
⇒p = 5/8
Must click thanks and mark brainliest
Jackson and his children went into a movie theater and where they sell bags of popcorn for $6.50 each and candies for $4 each. Jackson has $75 to spend and must buy no less than 15 bags of popcorn and candies altogether. If Jackson decided to buy 2 candies, determine the maximum number of bags of popcorn that he could buy. If there are no possible solutions, submit an empty answer
Answer:6
Step-by-step explanation:
Factor completely.
-3x² + 6x + 9 =
Answer:
-3(x - 3) (x + 1)
Step-by-step explanation:
Let's check
-3(x - 3) (x + 1)
(-3x + 9) (x + 1)
-3\(x^{2}\) -3x + 9x + 9
-3\(x^{2}\) + 6x + 9
Answer:
-3(x-3)(x+1)
Step-by-step explanation:
A common factor that all three numbers share is that they are divisible by 3, so we can factor 3 out. Typically, I take out the negative first:
-3(\(x^2-2x-3\)) (always remember to change signs!)
Now, we are left with \(x^2-2x-3\), and to factor that out, we need to find two numbers that add up to -2 and multiply to -3. These two numbers will be 1 and -3, so we can write our factor like this:
(x-3)(x+1)
Let's add back in the -3 from earlier to complete our factoring:
-3(x-3)(x+1)
if you have a 90 in class but get a zero that is worth 15 points what will be your grade after that?
If we have a 90 in class but get a zero that is worth 15 points, 0 will be that grade.
I know it takes 3 '15' to get 'C' from 0. Knowing this, getting zero is not recommended.
Here is the information we need to know to answer the question correctly.
For example:
3 allocations of 100 each .
3 x 15 = 45
45 / 3 = 15%
But now 0:
The same 3 allocations of 15 each AND these 0...
3 x 15 = 45
45 / 4 = 11.25% which is a 25 point drop at zero.
Let's say we have 10 allocations of 15 each...
10 x 15 = 150
150 / 10 = 15%
But we have 15 allocations of the same Questions each, which is 0.
Learn more about Class:
https://brainly.com/question/28423573
#SPJ4
Anyone else done with this online school stuff?
Answer:
yeah, I'm failing english ️
All mortgages must be paid monthly.
A. True
B.False
Answer:
A
Step-by-step explanation:
A set S is said to be infinite if there is a one-to-one correspondence between S and a proper subset of S. Prove (a) The set of integers is infinite. (b) The set of real numbers is infinite. (c) If a setS has a subset A which is infinite, then S must be infinite. (Note: By the result of Problem 8, a set finite in the usual sense is not infinite.)
In a set S whic is said to be infinite if there is a one-to-one correspondence between S and a proper subset of S, then
the set of integers is infinite, the set of real numbers is infinite and if a set S has a subset A which is infinite, then S must be infinite.
Given that a set S is said to be infinite if there is a one-to-one correspondence between S and a proper subset of S, we want to prove the following statements:
(a) The set of integers is infinite.
(b) The set of real numbers is infinite.
(c) If a set S has a subset A which is infinite, then S must be infinite.
(a) Let A be the set of positive integers, i.e., A = {1, 2, 3, 4, 5, ...}. We define a function f: A → Z (the set of integers) by f(n) = n - 1. It can be shown that f is both one-to-one and onto. This means that there is a one-to-one correspondence between A and Z. By repeating the same argument, we can also prove that there is a one-to-one correspondence between the negative integers and A. Hence, Z is infinite.
(b) Suppose, for contradiction, that the set of real numbers, R, is finite. Then there would be a one-to-one correspondence between R and some finite set F. Without loss of generality, let F = {a_1, a_2, ..., a_n} where a_1 < a_2 < ... < a_n. Let ε > 0 be such that ε < min{|a_1|, |a_2| - |a_1|, ..., |a_n| - |a_(n-1)|, |a_n|}. For any x ∈ R, we consider different cases:
- If x < 0, then x < -ε < a_1.
- If 0 ≤ x < a_1, then 0 ≤ x + ε < a_1.
- If a_i < x < a_(i+1) where 1 ≤ i ≤ n - 1, then a_i + ε < x + ε < a_(i+1) - ε < a_(i+1).
- If x > a_n, then x - ε > a_n.
We define a function g: R → F by:
- g(x) = a_1 + ε if x < 0,
- g(x) = x + ε if 0 ≤ x < a_n,
- g(x) = a_(i+1) - ε if a_i < x < a_(i+1) where 1 ≤ i ≤ n - 1,
- g(x) = a_n - ε if x > a_n.
It can be shown that g is both one-to-one and onto. This contradicts the assumption that R is finite. Therefore, R must be infinite.
(c) Let S be a set such that A is a subset of S, and A is infinite. Suppose, for contradiction, that S is finite. Then, there would be a one-to-one correspondence between S and some finite set F. Let F = {a_1, a_2, ..., a_n}. There are finitely many elements in S that are not in A, denoted as {b_1, b_2, ..., b_m}. We choose ε > 0 such that ε < min{|a_1 - b_1|, |a_2 - b_2|, ..., |a_m - b_m|}. We define a function f: A → S as follows: f(a_i) = a_i for 1 ≤ i ≤ n, and f(a_i) = b_i + ε for 1 ≤ i ≤ m. It can be shown that f is both one-to-one and onto. This contradicts the assumption that S is finite. Therefore, S must be infinite.
Hence, we have proved the statements:(a) The set of integers is infinite, (b) The set of real numbers is infinite and (c) If a set S has a subset A which is infinite, then S must be infinite.
To know more about subset, click here
https://brainly.com/question/31739353
#SPJ11
I put more points, sorry
Answer:
I dont understand. It isnt clear on what they want you to do.
a package is weighed at 8 kg to the nearest kg.find the largest possible weight for the package.
The largest possible weight would be 8.5 kg. When a package is weighed at 8 kg to the nearest kilogram, it means that the recorded weight could be off by a maximum of 0.5 kg in either direction. In this case, the package could actually weight anywhere between 7.5 kg and 8.5 kg.
To determine the largest possible weight for the package, we need to consider the upper limit of this range. Thus, the largest possible weight would be 8.5 kg. This value represents the scenario where the package's actual weight is at the highest end of the possible range.
It's important to note that the recorded weight of 8 kg is an approximation due to the nearest kilogram rounding. The actual weight of the package may differ from the recorded weight by a small margin. However, based on the given information, 8.5 kg is the largest weight that the package could possibly have, considering the rounding to the nearest kilogram.
To know more about largest possible:
https://brainly.com/question/14355598
#SPJ4
Rewrite 11^6 as a product of to powers.
Answer:
11 x 11 x 11 x 11 x 11 x 11 = 1771561
Answer:
1, 771, 561
Step-by-step explanation:
multiply 11 in 6 places that is 11*11*11*11*11*11
How many solutions does 2x + 6 = -2 (x - 3)
Answer: x=0
Step-by-step explanation:
2x+6=-2x+6
2x+2x=6-6
4x=0
x=0/4
x=0
In the men’s shot put event at the 2012 Summer Olympic Games, the length of the winning shot was 21. 89 meters. A shot put must land within a sector having a central angle of 34. 92° to be considered fair.
a. The officials draw an arc across the fair landing area, marking the farthest throw. Find the length of the arc.
b. All fair throws in the 2012 Olympics landed within a sector bounded by the arc in part (a). What is the area of this sector?
a. The length of the arc drawn across the fair landing area is approximately 6.777 meters.
b. The area of the sector bounded by the arc is approximately 162.042 square meters.
To find the length of the arc, we need to calculate the circumference of the circle formed by the landing area.
The central angle of the sector is given as 34.92°, which represents a fraction of the total circumference of the circle.
The formula to find the length of an arc is given by:
Arc Length = (Central Angle / 360°) × Circumference
In this case, the central angle is 34.92° and the circumference is the distance covered by the farthest throw, which is 21.89 meters.
Arc Length = (34.92° / 360°) × 2πr
We need to find the radius (r) of the circle. Since the farthest throw covers the radius, we have:
r = 21.89 meters
Now we can calculate the arc length:
Arc Length = (34.92° / 360°) × 2π × 21.89 meters
Arc Length ≈ (0.097 × 2π × 21.89) meters
Arc Length ≈ 6.777 meters
To calculate the area of the sector bounded by the arc, we need to use the formula:
Area of Sector = (Central Angle / 360°) × π × r²
Using the given central angle of 34.92° and the radius of 21.89 meters, we can calculate the area:
Area of Sector = (34.92° / 360°) × π × (21.89 meters)²
Area of Sector ≈ (0.097 × π × 21.89²) square meters
Area of Sector ≈ 162.042 square meters
For similar questions on area
https://brainly.com/question/25292087
#SPJ8
A line with a slope of 5 passes through the point (1,9). What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = 5x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 5, then
y = 5x + c ← is the partial equation
To find c substitute (1, 9) into the partial equation
9 = 5 + c ⇒ c = 9 - 5 = 4
y = 5x + 4 ← equation of line
145% of what number is 21
2-simplifica
1)x²-5x-16
x+2=
2)6an²-3b²n²
b4-4ab²+4a²=
3)4x²-4xy+y²
5y-10x
4)n+1-n³-n²
n³-n-2n²+2=
5)17x³y4z6
34x7y8z10=
6)12a²b³
60a³b5x6=
1. x² - 5x - 16 can be written as (x - 8)(x + 2).
2. 6an² - 3b²n² = n²(6a - 3b²).
3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².
4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).
5. 17x³y⁴z⁶ = (x²y²z³)².
6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.
Let's simplify the given expressions:
Simplifying x² - 5x - 16:
To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.
Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).
Simplifying 6an² - 3b²n²:
To simplify this expression, we can factor out the common term n² from both terms:
6an² - 3b²n² = n²(6a - 3b²).
Simplifying 4x² - 4xy + y²:
This expression represents a perfect square trinomial, which can be factored as (2x - y)².
Simplifying n + 1 - n³ - n²:
Rearranging the terms, we have -n³ - n² + n + 1.
Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).
Simplifying 17x³y⁴z⁶:
To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:
17x³y⁴z⁶ = (x²y²z³)².
Simplifying 12a²b³:
To simplify this expression, we can multiply the exponents of a and b with the given expression:
12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.
Learn more about expression from
https://brainly.com/question/723406
#SPJ11
A nurse provides a back massage as a palliative care measure to a client who is unconscious, grimacing, and restless. Which of the following findings should the nurse identify as indicating a therapeutic response? (Select all that apply.)
A. the shoulders droop
B. the facial muscles relax
C. the RR increases
D. the pulse is within the expected range
E. the client draws his legs into a fetal position
A nurse provides a back massage as a palliative care measure to a client who is unconscious, grimacing, and restless.
The therapeutic response that the nurse should identify in the client after a back massage includes relaxing of facial muscles and the pulse remaining within the expected range.
Massage is a fundamental nursing measure that is often utilized as part of palliative care for patients. The purpose of back massage is to promote relaxation, improve blood circulation, reduce muscle tension, and alleviate pain, stress, and anxiety. The nursing assessment of the patient before and after the massage is essential to determine its effectiveness as a therapeutic intervention for the patient.
When providing back massage as a palliative care measure to an unconscious, grimacing, and restless client, the nurse should identify several therapeutic responses as follows;
The shoulders droop: The nurse should expect the shoulders of the client to relax during massage therapy. If this occurs, it is a sign that the patient is experiencing relaxation and tension relief.
The facial muscles relax: Relaxation of the facial muscles is a common therapeutic response during back massage. The nurse should observe the patient's face for any signs of relaxation, which may include softening of facial lines, eyelids drooping, or a general expression of peacefulness.
The respiratory rate (RR) decreases: The nurse should expect the client's respiratory rate to decrease during a back massage. This is because relaxation stimulates the parasympathetic nervous system, resulting in decreased respiratory rate, heart rate, and blood pressure.
The pulse is within the expected range: The nurse should expect the client's pulse to remain within the expected range during a back massage. A normal pulse rate is between 60-100 beats per minute for adults. If the pulse remains within this range, it is a sign that the patient is responding positively to the massage therapy.
In conclusion, providing back massage as a palliative care measure to an unconscious, grimacing, and restless client can help to promote relaxation, improve blood circulation, reduce muscle tension, and alleviate pain, stress, and anxiety. The nurse should identify therapeutic responses in the patient during the massage therapy, which may include relaxation of the shoulders, facial muscles, decreased respiratory rate, and pulse remaining within the expected range.
To know more about blood circulation visit:
brainly.com/question/28915450
#SPJ11
A fisheries researcher wishes to test for a difference in mean weights of a single species of fish caught by fishermen in three different lakes in Nova Scotia. The significance level for the test will be 0.05. Complete the following partial ANOVA table and use it to answer the following questions:
Source, d.f., SS, MS, F Treatment, _, 17.04
Error, 9,_
Total, _, 31.23
a) What is the critical value F for this test?
b) What is the observed value F for this test?
c) What is the conclusion of the test? In other words, is there a difference in the mean weights of a single species of fish in the three different lakes?
a) The critical value F for the test is approximately 4.26.
b) The observed value F for the test is approximately 5.4.
c) Since the observed value of F is greater than the critical value F, we reject the null hypothesis and conclude that there is a significant difference in the mean weights of a single species of fish in the three different lakes at the 0.05 significance level.
Step-by-step explanation:
a) To find the critical value F, we first need to calculate the degrees of freedom (d.f.) for Treatment and Error. Since there are three different lakes, the d.f. for Treatment is (3-1)=2. We already have the d.f. for Error, which is 9. The Total d.f. is (2+9)=11. Now, using an F-distribution table or calculator with a significance level of 0.05 and d.f. 2 and 9, the critical value F is approximately 4.26.
b) To find the observed value of F, we need to calculate the Mean Square (MS) for Treatment and Error. We already have the Sum of Squares (SS) for Treatment, which is 17.04. The Total SS is 31.23, so the Error SS is (31.23-17.04)=14.19. Now, we can find the MS for Treatment and Error by dividing SS by the respective d.f.:
MS Treatment = SS Treatment / d.f. Treatment = 17.04 / 2 = 8.52
MS Error = SS Error / d.f. Error = 14.19 / 9 = 1.577
Now, we can calculate the observed value of F as the ratio of MS Treatment to MS Error:
Observed F = MS Treatment / MS Error = 8.52 / 1.577 ≈ 5.4
c) Since the observed value of F (5.4) is greater than the critical value F (4.26), we reject the null hypothesis. This means there is a significant difference in the mean weights of a single species of fish in the three different lakes at the 0.05 significance level.
Learn more about the partial ANOVA table:
https://brainly.com/question/4543160
#SPJ11
what is the name for a type of experiment in which random samples of varying size are repeatedly drawn from a large population?
Monte Carlo is the name for a type of experiment in which random samples of varying size are repeatedly drawn from a large population.
Define monte Carlo experiment.A large class of computational techniques known as "Monte Carlo procedures" or "Monte Carlo experiments" rely on repeated random sampling to get numerical results. The core idea is to leverage randomness to find solutions to issues that, in theory, may be deterministic. They are frequently applied to mathematical and physical issues and are particularly helpful when it is challenging or impossible to apply alternative strategies. The three problem types of optimization, numerical integration, and producing draws from a probability distribution[1] are where Monte Carlo methods are most frequently applied.
Given,
Monte Carlo is the name for a type of experiment in which random samples of varying size are repeatedly drawn from a large population.
In theory, every problem with a probabilistic interpretation can be solved using Monte Carlo methods. By applying the empirical mean (also known as the "sample mean") of independent samples of the variable, one can approximate integrals described by the expected value of a random variable according to the law of large numbers.
To learn more about Monte Carlo experiment, visit:
https://brainly.com/question/15350591
#SPJ4
During the audit of Wyndham Limited, the auditor used a variety of sampling methods based on areas selected for the audit test. Some methods were statistical and others non-statistical. Due to the extent of the audit, a decision was made to use the work of experts and include work done by internal auditors to supplement audit evidence gathered. An extract of the Statement of Financial Position for year ended 2021 December 31 is as follows: i. Property, plant and equipment $54 000 000 This figure includes buildings valued at $35 000 000; motor vehicles $5 000 000, plant and machinery $9 000 000 and investments $5 000 000 ii. Non-current liabilities amounted to $49 500 000 and current liabilities $2 350 000
C. Explain the following financial statement assertions with regards to account balances reported for buildings and non-current liabilities in the extract above: i. Presentation ii. Valuation (4 marks)
D. Provide TWO (2) reasons that investments would be selected for review by the auditor
The assertion of presentation confirms that the components of the financial statements are shown appropriately.
The management is also responsible for ensuring that the statement is adequately classified, described, and disclosed. Valuation: Valuation assertion affirms that the amounts of assets, liabilities, and equity have been appropriately recorded and stated at the correct amount. Buildings have been valued at $35,000,000 while the non-current liabilities amounted to $49,500,000. The auditor should evaluate if the valuation is accurate and if any impairment has been recognized.
The auditor must ensure that the investment in question exists and that the company owns it. The investment must be in the name of Wyndham Limited and not under another person or company. Ownership and valuation: The auditor should verify that the company has control over the investment and that it's valued correctly. If the investment is accounted for using fair value, the auditor must ensure that the method used is appropriate and consistent with the company's accounting policy. The auditor should also verify that the company's control over the investment justifies the accounting treatment used. The valuation of the investment should be at the correct amount and the disclosures must comply with the relevant accounting standard or IFRS.
To know more about financial visit:
https://brainly.com/question/13186126
#SPJ11