Answers
Answer:
Using polynomial division, the answer would come out to be:
3x^2-4x-4+(1/2x-1)
Answer:
Q = > 3x^2 - 4x - 4Rem = > 1Step-by-step explanation:
Hope it Helps you!!
Related Questions
Solve for y in the two equations below using substitution.
3x - 9y = 9
-2x - 2y = 8
Answers
Answer:
C
Step-by-step explanation:
3x - 9y = 9 → (1)
- 2x +2y = 8 ( subtract 2y from both sides )
- 2x = - 2y + 8 ( divide through by - 2 )
x = y - 4
substitute x = y - 4 into (1)
3(y - 4) - 9y = 9
3y - 12 - 9y = 9
- 6y - 12 = 9 ( add 12 to both sides )
- 6y = 21 ( divide both sides by - 6 )
y = \(\frac{21}{-6}\) = - \(\frac{7}{2}\)
marie purchased a 49.00 gift for a baby shower.she uses a coupon that offers 20 percent off. how much will marie spent on the gift after her coupon?
Answers
Answer:
39.20
Step-by-step explanation:
20% of 49 = 9.80
49-9.80= 39.20
Which length and width are possible dimensions for the garden?
Answers
The length and width are possible dimensions for the garden is l = 20 ft; w = 10 ft.
Square & RectangleThe characteristics of a square and a rectangle in a flat shape are very different. Although both are rectangular, the nature and characteristics of these two buildings are different.
The difference between a square and a rectangle can be seen from the properties they have. These properties are also characteristics of squares and rectangles. For this reason, if we want to mention the difference between the two wakes, then we must know their characteristics.
Your question is incomplete but most probably your full question was:
Which length and width are possible dimensions for the garden?
l = 20 ft; w = 5 ft
l = 20 ft; w = 10 ft
l = 60 ft; w = 20 ft
l = 55 ft; w = 30 ft
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Suppose that the function f is given by f(z, 3) = 4 – 8 – +1. Find the critical points of f. For each critical point of f. determine whether it is a local minimum, local maximum, or a saddle point.
Answers
The critical point of f at z = 1 is a local minimum.
To find the critical points of the function f(z, 3) = 4z^2 - 8z + 1, we need to find the values of z where the first partial derivatives with respect to z are equal to zero. Let's solve it step by step.
Take the partial derivative of f with respect to z:
∂f/∂z = 8z - 8
Set the derivative equal to zero and solve for z:
8z - 8 = 0
8z = 8
z = 1
The critical point of f occurs when z = 1.
To determine whether the critical point is a local minimum, local maximum, or a saddle point, we can use the second partial derivative test. We need to calculate the second partial derivative ∂²f/∂z² and evaluate it at the critical point (z = 1).
Taking the second partial derivative of f with respect to z:
∂²f/∂z² = 8
Evaluate the second derivative at the critical point:
∂²f/∂z² at z = 1 is 8.
Analyzing the second derivative:
Since the second derivative ∂²f/∂z² = 8 is positive, the critical point (z = 1) corresponds to a local minimum.
Therefore, the critical point of f at z = 1 is a local minimum.
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Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!
Answers
Answer:
-8
Step-by-step explanation:
f(1) = -2
g(4)= 6
-8 *(-2) -4 * 6 = 16 -24 = -8
if a = 2b and b is 14 of c then a is what percent of c
Answers
If a = 2b and b is 14% of c, then a is 28% of c.
This means that a is 28% of the total value of c.
Let's break down the given information step by step to determine the relationship between a, b, and c and find the percentage of a in relation to c.
Given:
a = 2b
b = 14% of c
We can substitute the value of b from the second equation into the first equation to express a solely in terms of c:
a = 2(14% of c)
a = 2(0.14c)
a = 0.28c
Now we have expressed a in terms of c.
To find the percentage of a in relation to c, we can calculate the ratio of a to c and multiply by 100 to express it as a percentage:
Percentage of a in relation to c = (a / c) * 100
Percentage of a in relation to c = (0.28c / c) * 100
Percentage of a in relation to c = 0.28 * 100
Percentage of a in relation to c = 28%
Therefore, a is 28% of c.
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Members of a baseball team raised $1128.75 to go to a tournament. They rented a bus
for $856.50 and budgeted $24.75 per player for meals. Write and solve an equation
which can be used to determine x, the number of players the team can bring to the
tournament.
Equation:
Answers
The baseball team can bring 11 players to the tournament based on their budget.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of players the team can bring to the tournament. They rented a bus for $856.50 and budgeted $24.75 per player for meals, hence:
24.75x + 856.5 = 1128.75
x = 11
The baseball team can bring 11 players to the tournament based on their budget.
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A circular region has population of about 15,500 people and a population density of about 775 people per square kilometer find the radius of the region
Answers
Answer:
Radius of the region = 2.5 km (Approx)
Step-by-step explanation:
Given:
Total population = 15,500
Density = 775 people per square kilo meter
Find:
Radius of the region
Computation:
Total ares = 15,500 / 775
Total ares = 20 km
Total ares = πr²
20 = (22/7)r²
r² = 6.363636
r = 2.52
Radius of the region = 2.5 km (Approx)
high-low or least squares regression analysis should only be done it a(n) ____ plot depicts linear cost behavior.
Answers
High-low or least squares regression analysis should only be done if a scatter plot depicts linear cost behavior.
A scatter plot is a graphical representation of data points, with the x-axis representing the independent variable (such as the level of production) and the y-axis representing the dependent variable (such as the cost). Linear cost behavior means that the relationship between the independent and dependent variables can be approximated by a straight line. In other words, as the independent variable increases or decreases, the dependent variable changes proportionally.
To determine if a scatter plot depicts linear cost behavior, you need to visually examine the data points. If the points appear to align closely along a straight line, it indicates a linear relationship. However, if the points are scattered and do not follow a clear pattern, it suggests non-linear cost behavior.
High-low or least squares regression analysis are statistical techniques used to estimate and quantify the linear relationship between variables. These methods help determine the equation of the line that best fits the data points and can be used to predict future values. Therefore, performing these analyses is only meaningful when the scatter plot indicates linear cost behavior.
In summary, high-low or least squares regression analysis should only be done if a scatter plot depicts linear cost behavior.
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The enrollment at Grove
Middle School is expected to increase
by 40 students each year for the next
5
years.
If their current enrollment is
600 students, find their enrollment
after each of the next 5 years.
Answers
Answer:
After one year, the enrollment will be 600 + 40 = 640. After two years, the enrollment will be 640 + 40 = 680. After three years, the enrollment will be 680 + 40 = 720. After four years, the enrollment will be 720 + 40 = 760. After five years, the enrollment will be 760 + 40 = 800.
Step-by-step explanation:
Item 12 You need to read 20 poems in 5 days for an English project. Each poem is 2 pages long. Evaluate the expression 20×2÷5 to find how many pages you need to read each day.
Answers
Answer:
8 pages
Step-by-step explanation:
It is given that,
You need to read 20 poems in 5 days for an English project. Each poem is 2 pages long.
We need to find no of pages you need to read each day. Let the no of pages are x. It can be calculated as follow :
\(x=20\times 2/5\\\\=20\times \dfrac{2}{5}\\\\=4\times 2\\\\=8\)
Hence, there are 8 pages you need to read each day.
.2. Determine whether the feasible set for each of the following systems of constraints is convex, and if not, indicate points x^1 and x² that violate definition. a) (x1)² + (x2)² > 9
x1 + x2 ,10
x1, x2 > 0
Answers
The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.
To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.
a) (x1)² + (x2)² > 9
This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.
b) x1 + x2 ≤ 10
This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.
c) x1, x2 > 0
This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.
Now, let's analyze the intersection of these constraints:
Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).
To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.
If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).
Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.
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imagine that a recent study found that people who eat large amounts of bananas get bitten by mosquitoes on average more often than people who eat smaller amounts of bananas. what causal relationship can we conclude from this study alone?
Answers
It is not possible to conclude a causal relationship from this study alone. This is because the study only shows a correlation between eating large amounts of bananas and being bitten by mosquitoes, it does not demonstrate that one causes the other. There could be other factors that are not controlled for in the study that could be the true cause of the relationship, such as people who eat more bananas also spend more time outdoors. To establish a causal relationship, further research would be needed such as a randomized control trial.
Cause and Effect of Bananas and Mosquito BitesTo determine a causal relationship between eating bananas and being bitten by mosquitoes, a randomized controlled trial could be conducted. This type of study would involve randomly assigning participants to two groups: one group would eat a large amount of bananas, while the other group would eat a smaller amount of bananas. The number of mosquito bites each participant receives would be recorded and compared between the two groups.
If the group that ate a large amount of bananas had a significantly higher rate of mosquito bites than the group that ate a smaller amount of bananas, it would suggest that eating bananas may cause an increase in the number of mosquito bites.
Additionally, other variables that could influence the result should be controlled or measured, such as time spent outdoors, skin type, or use of mosquito repellent.
It's important to note that even if the study shows a correlation between eating bananas and being bitten by mosquitoes, it doesn't mean that the banana causes the bites, there could be other factors that are not controlled for in the study that could be the true cause of the relationship.
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The lexington group has the following unadjusted trial balance as of may 31, 20y6: the lexington group unadjusted trial balance may 31, 20y6 account debit balances credit balances cash 20,350 accounts receivable 37,000 supplies 1,100 prepaid insurance 200 equipment 171,175 notes payable 36,000 accounts payable 26,000 common stock 50,000 retained earnings 94,150 dividends 15,000 fees earned 429,850 wages expense 270,000 rent expense 63,000 advertising expense 25,200 miscellaneous expense 5,100 total 608,125 636,000 the debit and credit totals are not equal as a result of the following errors: the cash entered on the trial balance was overstated by $7,000. a cash receipt of $8,200 was posted as a debit to cash of $2,800. a debit of $16,500 to accounts receivable was not posted. a return of $125 of defective supplies was erroneously posted as a $1,250 credit to supplies. an insurance policy acquired at a cost of $3,600 was posted as a credit to prepaid insurance. the balance of notes payable was understated by $9,000. a credit of $10,000 in accounts payable was overlooked when determining the balance of the account. a debit of $5,000 for dividends was posted as a credit to retained earnings. the balance of $60,300 in rent expense was entered as $63,000 in the trial balance. gas, electricity, and water expense, with a balance of $16,350, was omitted from the trial b
Answers
The unadjusted trial balance of The Lexington Group as of May 31, 20Y6, contains errors resulting in an unequal debit and credit balance of $27,875.
The unadjusted trial balance is a statement that lists all the accounts and their balances before any adjustments are made. It is used as a starting point to prepare the financial statements. In this case, the unadjusted trial balance of The Lexington Group shows a debit total of $608,125 and a credit total of $636,000, resulting in a difference of $27,875.
The errors mentioned in the question are the reasons for the imbalance. Let's go through each error:
1. The cash entered on the trial balance was overstated by $7,000. This means that the cash balance is higher than it should be by $7,000, resulting in an inflated debit balance.
2. A cash receipt of $8,200 was posted as a debit to cash of $2,800. This error resulted in an understatement of the cash balance by $5,400.
3. A debit of $16,500 to accounts receivable was not posted. As a result, the accounts receivable balance is understated by $16,500.
4. A return of $125 of defective supplies was erroneously posted as a $1,250 credit to supplies. This error caused an overstatement of the supplies balance by $1,125.
5. An insurance policy acquired at a cost of $3,600 was posted as a credit to prepaid insurance. This mistake resulted in an understatement of the prepaid insurance balance by $3,600.
6. The balance of notes payable was understated by $9,000. This means that the liability for notes payable is lower by $9,000 than it should be.
7. A credit of $10,000 in accounts payable was overlooked when determining the balance of the account. This error led to an understatement of the accounts payable balance by $10,000.
8. A debit of $5,000 for dividends was posted as a credit to retained earnings. This mistake caused an understatement of the dividends and an overstatement of the retained earnings by $5,000.
9. The balance of $60,300 in rent expense was entered as $63,000 in the trial balance. This error resulted in an overstatement of the rent expense by $2,700.
10. Gas, electricity, and water expense, with a balance of $16,350, was omitted from the trial balance. This omission caused an understatement of the total expenses by $16,350.
When we analyze the errors, we find that some accounts have been overstated, some have been understated, and some transactions have been completely omitted. These errors have led to an imbalance between the debit and credit sides of the trial balance.
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In Case Study 19. 1, we learned that about 56% of American adults actually voted in the presidential election of 1992, whereas about 61% of a random sample claimed that they had voted. The size of the sample was not specified, but suppose it were based on 1600 American adults, a common size for such studies.
a. Into what interval of values should the sample proportion fall 68%, 95%, and almost all of the time?b. Is the observed value of 61% reasonable, based on your answer to part a?c. Now suppose the sample had been of only 400 people. Compute a standardized score to correspond to
Answers
The sample proportion should fall between 56.8% and 65.2% of the time for 68% confidence, between 54.6% and 67.4% of the time for 95% confidence, and between 53.4% and 68.6% of the time for almost all of the time.
a. 68%: The sample proportion should fall between 56.8% and 65.2% of the time.
95%: The sample proportion should fall between 54.6% and 67.4% of the time.
Almost all of the time: The sample proportion should fall between 53.4% and 68.6% of the time.
b. Yes, the observed value of 61% is reasonable, based on the answer to part a.
c. For a sample of 400 people, the standardized score corresponding to the 61% response would be 0.5, which would not be considered extreme.
The sample proportion should fall between 56.8% and 65.2% of the time for 68% confidence, between 54.6% and 67.4% of the time for 95% confidence, and between 53.4% and 68.6% of the time for almost all of the time. For a sample of 400 people, the standardized score corresponding to the 61% response would be 0.5, which would not be considered extreme.
The complete question is :
In Case Study 19. 1, we learned that about 56% of American adults actually voted in the presidential election of 1992, whereas about 61% of a random sample claimed that they had voted. The size of the sample was not specified, but suppose it were based on 1600 American adults, a common size for such studies.
a. Into what interval of values should the sample proportion fall 68%, 95%, and almost all of the time?
b. Is the observed value of 61% reasonable, based on your answer to part a?
c. Now suppose the sample had been of only 400 people. Compute a standardized score to correspond to the 61% response and determine if this would be considered extreme.
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Fathi has
$
1.10
$1.10dollar sign, 1, point, 10 in his printing account. Each sheet of paper he uses reduces his printing account balance by
$
0.25
$0.25dollar sign, 0, point, 25. Fathi wants to print out a PDF document that is
47
4747 pages long. To save paper, he decides to print on both sides of each sheet and to print two pages on each side of the sheet.
After Fathi prints, what will be the balance in his printing account?
Answers
Answer:
he can buy 4 sheets of paper to print 16 pages
he will have 0.10 cents left
Step-by-step explanation:
With each piece of paper, he can print 4 pages
He has a full dollar
1/0.25 = 4
he can print 4 pages because the last 10 cents will not be enough to print another page
4 * 4 = 16
He will not be able to print all the pages
How many significant figures would this calculation have if it were completed: \[ (9.04-8.23+21.954+81.0) \times 3.1416 \]
A) 3 B)4 C)5 D)6
Answers
The calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.
To determine the number of significant figures in a calculation, we follow the rules for significant figures:
1. Addition and subtraction: The result should have the same number of decimal places as the measurement with the fewest decimal places.
2. Multiplication and division: The result should have the same number of significant figures as the measurement with the fewest significant figures.
Let's break down the calculation step by step:
\(9.04-8.23+21.954+81.0\) yields \(104.764\).
Now, multiplying this result by \(3.1416\) gives \(329.5719744\).
The measurement with the fewest significant figures in the calculation is \(3.1416\), which has 5 significant figures.
According to the rule for multiplication and division, the result should have the same number of significant figures as the measurement with the fewest significant figures. Hence, the result, \(329.5719744\), will be rounded to 4 significant figures.
Therefore, the calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.
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1. Find the distance between the line and the point Exercises 11.8 Complete the following: (b) 7x - (d) (f) 3. (a) 3x + 4y = 24: (-10, 1) (c) x + 2y = 12; (4, -6) (e) + 3y = 0; (1, -7) for or find the length of one altitude and the area of the (b) A-4letter a from question 1
Answers
The formula to find the distance between a point and a line is
\(\begin{gathered} d=|\frac{Ax_p+By_p+C}{\sqrt[]{A^2+B^2}}| \\ \text{ For} \\ Ax+By+C=0 \\ \text{ Where} \\ x_p\text{ is the x coordinate of the point} \\ y_p\text{ is the y coordiante of the point} \end{gathered}\)Graphically
So, in this case, you have
\(\begin{gathered} Ax+By+C=0\Leftrightarrow3x+4y-24=0 \\ P(-10,1) \end{gathered}\)Then
\(\begin{gathered} A=3 \\ B=4 \\ C=-24 \\ x_p=-10 \\ y_p=1 \\ d=|\frac{3\cdot(-10)+4\cdot1-24}{\sqrt[]{(3)^2+(4)^2}}| \\ d=|\frac{-30+4-24}{\sqrt[]{9^{}+16}}| \\ d=|\frac{-50}{\sqrt[]{25}}| \\ d=|\frac{-50}{5}| \\ d=|-10| \end{gathered}\)The absolute value is the distance between a number and zero. The distance between -10 and 0 is 10.
\(d=10\)Therefore, the distance between the point of the line is 10 units.
Jason and his children went into a grocery store and will buy bananas and mangos.
Each banana costs $0.90 and each mango costs $2. Jason has a total of $25 to spend
on bananas and mangos. Write an inequality that would represent the possible values
for the number of bananas purchased, b, and the number of mangos purchased, m.
Answers
Answer: 0.90b + 2m ≤ 25
Step-by-step explanation: 0.90 = bananas + 2 = mangoes is less than or equal to 25
nelson middle school raised $19950 on ticket sales for its carnival fundraiser last year at $15 per ticket. if the school sells the same number of tickets this year but charges $20 per ticket how much money will the school make? can you explain i dont want tue anwer
Answers
1330*20=26600
what is the difference between the lowest price in store 1 and the lowest price in store 2 the highest prices?.
Answers
The difference between the lowest price in store 1 and the lowest price in store 2 is the result of the key used to identify the store. The difference between the highest prices in store 1 and store 2 is the result of the key used to identify the store, with both stores having the same price.
What is difference?The difference between the two terms is that "difference" refers to the way in which two or more things are not the same, whereas "difference" is more of a comparison between two or more things.
The difference between the lowest price in store 1 and the lowest price in store 2 is the difference between the first digit of each store's key. In the case of store 1, the key is 110 and the first digit is 1. In the case of store 2, the key is 210 and the first digit is 2. The difference between the two digits is 1.
The difference between the highest prices in store 1 and store 2 is the difference between the last digit of each store's key. In the case of store 1, the key is 110 and the last digit is 0. In the case of store 2, the key is 210 and the last digit is 0. The difference between the two digits is 0.
The difference between the lowest price in store 1 and the lowest price in store 2 is the result of the key used to identify the store. In the case of store 1, the key is 110 and the first digit is 1. In the case of store 2, the key is 210 and the first digit is 2. The difference between the two digits is 1. This difference is reflected in the lowest prices of each store, with store 1 having a lower price than store 2.
The difference between the highest prices in store 1 and store 2 is the result of the key used to identify the store. In the case of store 1, the key is 110 and the last digit is 0. In the case of store 2, the key is 210 and the last digit is 0. The difference between the two digits is 0. This difference is reflected in the highest prices of each store, with both stores having the same price.
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help me pls math question
Answers
Answer:
B. y=-1/6+3 True
C. y=1/2x-1 True
Step-by-step explanation:
other ones are false
It currently takes users a mean of 66 minutes to install the most popular computer program made by RodeTech, a software design company. After changes have been made to the program, the company executives want to know if the new mean is now different from 66 minutes so that they can change their advertising accordingly. A simple random sample of 41 new customers are asked to time how long it takes for them to install the software. The sample mean is 5.4 minutes with a standard deviation of 1.3 minutes. Perform a hypothesis test at the 0.025 level of significance to see if the mean installation time has changed.
Step 2 of 3 :
Compute the value of the test statistic. Round your answer to three decimal places.
Answers
The test statistic or the z-score is -298.484.
Given data:
To compute the value of the test statistic, we need to calculate the z-score using the sample mean, the population mean under the null hypothesis, the standard deviation, and the sample size.
Sample mean (x) = 5.4 minutes
Population mean under the null hypothesis (μ) = 66 minutes
Standard deviation (σ) = 1.3 minutes
Sample size (n) = 41
The formula for the test statistic (z-score) in this case is:
z = (x- μ) / (σ / √n)
Plugging in the values:
z = (5.4 - 66) / (1.3 / √41)
Calculating the expression inside the parentheses:
z = -60.6 / (1.3 / √41)
Calculating the square root of 41:
z = -60.6 / (1.3 / 6.403)
Calculating the division inside the parentheses:
z = -60.6 / 0.202
Calculating the final value:
z ≈ -298.484
Null Hypothesis (H0): The mean installation time has not changed (μ = 66 minutes).
Alternative Hypothesis (H1): The mean installation time has changed (μ ≠ 66 minutes).
Level of significance (α) = 0.025 (this corresponds to a two-tailed test since we have "not equal to" in the alternative hypothesis).
For a two-tailed test at the 0.025 level of significance, the critical values are ±1.96.
Since the test statistic (-300.495) is much smaller (in absolute value) than the critical value (-1.96) for a two-tailed test at the 0.025 level of significance, we reject the null hypothesis.
Conclusion: At the 0.025 level of significance, there is enough evidence to suggest that the mean installation time has changed from 66 minutes for the most popular computer program made by RodeTech, based on the data from the sample.
Hence, the value of the test statistic is approximately -298.484.
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What’s the measure of angle X ?
Answers
Answer:
120
Step-by-step explanation:
A vase can be modeled using x squared over 6 and twenty five hundredths minus quantity y minus 4 end quantity squared over 42 and 25 hundredths equals 1 and the x-axis, for 0 ≤ y ≤ 20, where the measurements are in inches. Using the graph, what is the distance across the base of the vase, and how does it relate to the hyperbola?
Answers
Before we start, let's plot the graph of the hyperbola:
The problem wants the distance across the base of the base, we can see that at y = 0 (base) the "vases" touches x = 2.935. that's the distance between the center of the base and the end of it, looking at the image we can see that basically, it's the distance between the x-intercept, we know that half of the distance is 2.935, then the distance is
\(\begin{gathered} \frac{d}{2}=2.935 \\ \\ d=2\cdot2.935 \\ \\ d=5.87\text{ inches} \end{gathered}\)Therefore, the correct answer is 5.87 inches, distance between x-intercept
11.26 Calculate the F statistic, writing the ratio accurately, for each of the following cases: a. Between-groups variance is 29.4 and within-groups variance is 19.1. b. Within-groups variance is 0.27 and betweengroups variance is 1.56. c. Between-groups variance is 4595 and withingroups variance is 3972.
Answers
F = (between-groups variance) / (within-groups variance) = 1.54, F = (between-groups variance) / (within-groups variance) = 5.78 , F = (between-groups variance) / (within-groups variance) = 1.16
To calculate the F statistic, we need both the between-groups variance and within-groups variance. Let's calculate the F statistic for each case:
a. Between-groups variance = 29.4, within-groups variance = 19.1.
The F statistic is the ratio of the between-groups variance to the within-groups variance: F = (between-groups variance) / (within-groups variance) = 29.4 / 19.1.
b. Within-groups variance = 0.27, between-groups variance = 1.56.
Similarly, the F statistic is the ratio of the between-groups variance to the within-groups variance: F = (between-groups variance) / (within-groups variance) = 1.56 / 0.27.
c. Between-groups variance = 4595, within-groups variance = 3972.
Again, the F statistic is the ratio of the between-groups variance to the within-groups variance: F = (between-groups variance) / (within-groups variance) = 4595 / 3972.
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suppose that final exam grades in ecd 20150 follow a normal distribution with mean 67 and standard deviation 11. what is the probability that a student in eco 20150 gets an 72 on the final exam?
Answers
This means that there is a 65.54% probability that a student in ECO 20150 will get a 72 or higher on the final exam.
To calculate the probability that a student gets a 72 on the final exam, we need to find the area under the normal distribution curve from 72 to infinity. We can use the standard normal distribution table (also known as the Z-table) to find this probability.
First, we need to convert the raw score of 72 to a Z-score. The Z-score tells us how many standard deviations a raw score is above or below the mean. To convert a raw score to a Z-score, we use the following formula:
Z = (X - μ) / σ
Where X is the raw score, μ is the mean, and σ is the standard deviation.
Plugging in the values from the problem, we get:
Z = (72 - 67) / 11 = 0.45
Now that we have the Z-score, we can look it up in the standard normal distribution table to find the probability. The probability is the area under the curve from the Z-score to infinity. In this case, the probability is 0.6554, or about 65.54%.
How does simple probability work?Calculating a result or an event's likelihood is known as simple probability. To calculate the likelihood of having to pay out a claim, insurance firms employ probability statistics. A simple probability is computed by dividing a particular result by all potential results.
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Can the volume of a cone with the same size base as a cylinder ever have a bigger volume? Explain
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Answer:
No, because if a cone and a cylinder have bases with equal areas, and both have identical heights, then the volume of the cone is one-third the volume of the cylinder.
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The sum of the digits of a two- digit number is 6. When we interchange the digits, the new number is 18 less than the original number. Find the original number.pls explain step by step
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Answer:
42
Step-by-step explanation:
S1 let a and b be the digits of the number
so a 2 digit number cab written as - 10×a + b
eg - 68 as 6×10 + 8
S2 ) according to ques
a + b = 6 - eqn 1
(10×a + b) - (10×b + a) = 18
9×a - 9×b = 18
a - b = 2 - eqn 2
S3)from eqn 1 and eqn 2
we get a = 4 and b = 2
hence number is 42