Answer:
5s + 0.65 = 14.4
- 0.65 - 0.65
______________
5s = 13.75
___. ___
5 5
s = 2.75 meters of string for each pennant
Explanation:
s represents the length of string required for each pennant.
We know that Ingrid is using a total of 14.4 meters of string to hang a banner and 5 pennants.
We also know that out of that 14.4 meters, 0.65 meters is used to hang the banner. The rest of the string left is equally distributed among the 5 pennants.
So, therefore, we have a constant of 0.65 and a coefficient of 5 with variable, s.
Next, we solve this by first isolating the constant by subtracting 0.65 on both sides.
Then. we isolate the variable by dividing 5 into both sides.
So, s = 2.75 meters of string for each pennant
Your job is to randomly select integrated circuits, and then test them in sequence until you find the first failure. let be the total number of tests, and assume that all tests are independent with probability of failure. Identify the type of random variable and its parameter(s).
The type of random variable in this scenario is a geometric random variable. Its parameter is the probability of failure for each integrated circuit being tested.
The type of random variable you're dealing with in this scenario, where you are testing integrated circuits in sequence until you find the first failure, is called a Geometric Random Variable. This type of random variable represents the number of trials needed for the first success (or failure, in this case) in a series of independent Bernoulli trials with the same probability of failure. The parameter for a Geometric Random Variable is the probability of failure, denoted as p. In summary, the type of random variable in this problem is a Geometric Random Variable, and its parameter is the probability of failure (p).
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yann and camille go to a restaurant. if there are $10$ items on the menu, and each orders one dish, how many different combinations of meals can yann and camille order if they refuse to order the same dish? (it does matter who orders what---yann ordering chicken and camille ordering fish is different from yann ordering fish and camille ordering chicken.)
Therefore, there are 45 different combinations of meals that Yann and Camille can order if they refuse to order the same dish.
This problem involves counting the number of ways two people can choose different dishes from a menu of 10 items, without repeating any dish. To solve this problem, we can use the formula for combinations, which is given by:
C(n, k) = n!/[(n-k)! k!]
where n is the total number of items, and k is the number of items we want to choose. In this case, we want to choose 2 items from a menu of 10, so we have:
C(10, 2) = 10!/[(10-2)! 2!]
= (10 x 9)/2
= 45
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A student is painting a brick for his teacher to use as a doorstop in the classroom. He is only painting the front of the brick. The vertices of the face are (−4, 2), (−4, −11), (4, 2), and (4, −11). What is the area, in square inches, of the painted face of the brick?
42 in2
52 in2
104 in2
128 in2
The area of the painted face of the brick is 104 square inches units
What is the area of the painted face of the brick?The vertices of the face are (−4, 2), (−4, −11), (4, 2), and (4, −11)
The distance between the coordinates are
√[(-4 + 4)^2 + (2 + 11)^2] = 13
√[(-4 - 4)^2 + (-11 + 11)^2] = 8
So, we have
Area = 13 * 8
Area = 104
Hence, the area is 104 square inches units
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Answer: The answer is C
Step-by-step explanation:
Suppose we have converted the augmented matrix of a system of equations into reduced row-echelon form. How do we then identify the dependent and independent (free) variables?
We can easily identify the dependent and independent (free) variables by looking at the matrix after converting augmented matrix.
When we convert the augmented matrix of a system of equations into reduced row-echelon form, we can easily identify the dependent and independent (free) variables by looking at the matrix. The columns that contain leading 1's correspond to the variables that are dependent on the others. The columns that do not contain leading 1's correspond to the variables that are independent or free.
For example, if we have a matrix in reduced row-echelon form that looks like this:
1 0 2 | 3
0 1 -1 | 2
0 0 0 | 0
We can see that the first and second columns have leading 1's, so the variables corresponding to those columns (in this case, x1 and x2) are dependent on each other. The third column does not have a leading 1, so the variable corresponding to that column (in this case, x3) is independent or free.
In general, we can say that the number of independent variables is equal to the number of columns without leading 1's, and the number of dependent variables is equal to the number of columns with leading 1's. By identifying the dependent and independent variables, we can then use this information to solve the system of equations using substitution or elimination.
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Lorena deposited $9000 into an account that earns 4.25% interest
each year.
a. Write an equation for the amount, A, in the
account after t years.
b. In how many years will her account exceed
$20,000?
c. If she waits for 50 years, how much will be
in her account?
The solution to each of the compound interest problems are:
A = 9000(1.0425)^(t)
B) t = 19.2 years
C) $72118.34
How to solve Compound Interest Problems?The formula for the compound interest here is:
A = P(1 + (r/n))^nt
where:
A = Accrued amount (principal + interest)
P = Principal amount
r = Annual nominal interest rate as a decimal
R = Annual nominal interest rate as a percent
r = R/100
n = number of compounding periods per unit of time
t = time in decimal years; e.g., 6 months is calculated as 0.5 years. Divide your partial year number of months by 12 to get the decimal years.
I = Interest amount
We are given:
P = $9000
r = 4.25% = 0.0425
n = 1
a) A = 9000(1 + 0.0425)^(t)
A = 9000(1.0425)^(t)
B) For the account to exceed $20000, we have:
20000 = 9000(1.0425)^(t)
20/9 = (1.0425)^(t)
t In 1.0425 = In (20/9)
t = 19.2 years
C) For t = 50 years, we have:
9000(1.0425)^(50) = $72118.34
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A random sample of 100 customers at a local ice cream shop were asked what their favorite topping was. The following data was collected from the customers.
Topping Sprinkles Nuts Hot Fudge Chocolate Chips
Number of Customers 12 17 44 27
Which of the following graphs correctly displays the data?
a bar graph titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled sprinkles going to a value of 17, the second bar labeled nuts going to a value of 12, the third bar labeled hot fudge going to a value of 27, and the fourth bar labeled chocolate chips going to a value of 44
a bar graph titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled nuts going to a value of 17, the second bar labeled sprinkles going to a value of 12, the third bar labeled chocolate chips going to a value of 27, and the fourth bar labeled hot fudge going to a value of 44
a histogram titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled sprinkles going to a value of 17, the second bar labeled nuts going to a value of 12, the third bar labeled hot fudge going to a value of 27 ,and the fourth bar labeled chocolate chips going to a value of 44
a histogram titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled nuts going to a value of 17, the second bar labeled sprinkles going to a value of 12, the third bar labeled chocolate chips going to a value of 27, and the fourth bar labeled hot fudge going to a value of 44
The correct answer is A because this represents discrete categories - ice cream toppings specifically, and not continuous numerical data
How to solveThe provided data showcases the popular toppings among a random selection of customers and their respective frequency counts.
As this represents discrete categories - ice cream toppings specifically, and not continuous numerical data – it merits presentation via a bar graph which makes a suitable choice for accurate representation.
In contrast, using a histogram is inappropriate in this instance as histograms are intended to exhibit the distribution of frequency for continuous data points.
The relevant chart, Option A displays information using a precisely labeled x-axis ("Topping") along with a y-axis (“Number of Customers”) showcasing labeled bars, each accounting for exact values regarding topping popularity:
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Please provide an explanation of how to solve this.Find the variance for the given data. Round your answer to one more decimal place than the original data. 29) 1, 4, -5, -9, and 6 a. 39.2 b. 31.4 C. 39.4 d. 39.3
The variance for the given data is 11.3.
To find the variance for the given data, follow these steps:
1. Calculate the mean of the data. To do this, add up all the numbers and divide by the total number of values. In this case, the sum is -3 (1+4-5-9+6) and there are 5 values, so the mean is -3/5 = -0.6.
2. Calculate the difference between each value and the mean. To do this, subtract the mean from each value. For example, the difference between 1 and -0.6 is 1.6.
3. Square each difference. This is important because we want to give greater weight to values that are further away from the mean. For example, (1.6)^2 = 2.56.
4. Add up all the squared differences. For this data set, the sum of the squared differences is 56.4.
5. Divide the sum of squared differences by the total number of values. In this case, 56.4 divided by 5 is 11.28.
6. Round your answer to one more decimal place than the original data. The answer is 11.3, which matches option d, 39.3, after rounding.
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The ages of children taking a hip-hop dance class are 10, 9, 9, 7, 12, 14, 14, 9, and 16 years old
Which of the following Describe the distribution of the data
The ages range from 1 of 7.
Select Choice
years to 2 of 7.
Select Choice
years.
The middle half of the data range from 3 of 7.
Select Choice
years to 4 of 7.
Select Choice
years.
The median is 5 of 7.
Select Choice
years; half of the children taking the class are older than 10 years old and half of them are younger than 10 years old.
Because the left whisker and left box combined are shorter than the right whisker and right box, there is 6 of 7.
Select Choice
variation among the lower half of the data. Having less variation means there is a 7 of 7.
Select Choice
consistency among the ages of children younger than 10 years old.atistical questions? Select all that apply. (Example 1)
Answer:
Step-by-step explanation:
easy its 7
An engineer earns an annual salary of $58236. Calculate his gross monthly salary
Answer:
$4853
Step-by-step explanation:
Since there are 12 months in 1 year, the monthly salary is 1/12 of the yearly salary. We divide the annual salary by 12 to calculate the monthly salary.
$58236/12 = $4853
while working as a reace driver, jalen nedded to replace the trie on his car, tries are sold by the measurment around the outside of the tire. he measures the dimeter of the tire be 24 inches. what size tire does he need to by ( round to the nearest half inch)?
Jalen need to buy a tire of 69.08 m.
Given that, the tire diameter is 24 inches, we need to calculate the size tire does Jalen need to buy,
To find the same, we will calculate the circumference of the tire,
Circumference = π × diameter
= 3.14 × 22
= 69.08
Hence, Jalen need to buy a tire of 69.08 m.
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3. Mel has a bag of 8 marbles: 2 red, 3 yellow, and 3 green. She draws a marble from the bag,
writes down the color, replaces it, and draws again. She repeats this process for 40 trials and
records drawing a yellow marble 12 times. How does the experimental probability of selecting
a yellow marble compare to the theoretical probability? Explain.
We can see that the experimental probability is smaller than the theoretical one.
How do the probabilities compare?The theoretical probability is equal to the quotient between the number of yellow marbles and the total number, so here we have:
T = 3/8 = 0.375
The experimental probability is equal to the quotient between the number of times that Mel got a yellow marble and the total number of trials, so here we have:
E = 12/40 = 0.3
So the experimental probability is smaller than the theoretical one.
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given are five observations for two variables, and .excel file: data14-25.xlsxthe estimated regression equation is
Based on your question, you have a dataset with five observations for two variables and an Excel file named "data14-25.xlsx". You'd like to estimate the regression equation.
In this context, "observations" refer to the data points collected for each of the two variables, and "variables" represent the attributes being measured or analyzed. The estimated regression equation is a mathematical model that describes the relationship between these two variables.
Unfortunately, I cannot access the Excel file you mentioned. However, I can guide you on how to estimate the regression equation using Excel:
1. Open the "data14-25.xlsx" file in Excel.
2. Organize your data with one variable in column A and the other variable in column B.
3. Click on the "Data" tab, then click "Data Analysis."
4. Select "Regression" from the list and click "OK."
5. In the "Input Y Range" box, select the range for the dependent variable (typically the one you want to predict). In the "Input X Range" box, select the range for the independent variable (the predictor).
6. Choose an output range or create a new worksheet for the results.
7. Click "OK."
The output will display the estimated regression equation, represented by the formula ŷ = b0 + b1x, where ŷ is the predicted value of the dependent variable, b0 is the intercept, and b1 is the slope of the regression line.
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Company's Complaints
Number
of Complaints
225
205
187
169
147
130
Week
1
23
3
45
6
Based on the line of best fit, how many complaints should the company expect at the end of week 8?
A 110
B 96
C 91
D 75
The company ought to anticipate 96 complaints at the conclusion of week 8 based on the line of best. (Option B).
How to Solve the Problem?To anticipate the number of complaints at the conclusion of week 8, we got to utilize the line of best fit condition, which speaks to the relationship between the weeks and the number of complaints.
Expecting that we have as of now calculated the line of best fit and determined that it may be a straight relationship, we are able utilize the slope-intercept frame of a line:
y = mx + b
where:
y = the anticipated number of complaints at the conclusion of week 8
m = the slant of the line of best fit
x = 8 (since we need to predict the number of complaints at the conclusion of week 8)
b = the y-intercept of the line of best fit
We will calculate the slant and y-intercept utilizing the given information:
Incline (m): To discover the slant of the line of best fit, we got to utilize the equation:
m = (n∑xy - ∑x∑y) / (n∑x^2 - (∑x)^2)
where:
n = the number of information focuses (in this case, 6 weeks)
∑xy = the entirety of the items of the x and y values
∑x = the whole of the x values
∑y = the whole of the y values
∑x^2 = the entirety of the squared x values
Utilizing the information given within the table, ready to calculate:
∑xy = (1225) + (2205) + (3187) + (4169) + (5147) + (6130) = 2859
∑x = 1 + 2 + 3 + 4 + 5 + 6 = 21
∑y = 225 + 205 + 187 + 169 + 147 + 130 = 1063
∑x^2 = 1^2 + 2^2 + 3^2 + 4^2 + 5^2 + 6^2 = 91
Utilizing these values, ready to calculate the incline:
m = ((62859) - (211063)) / ((6*91) - (21^2)) = -17.5
Y-intercept (b): To discover the y-intercept of the line of best fit, we will utilize the equation:
b = y - mx
where:
y = the cruel of the y values
m = the slant of the line of best fit
x = the cruel of the x values
Utilizing the information given within the table, able to calculate:
y = (225 + 205 + 187 + 169 + 147 + 130) / 6 = 177.17
x = (1 + 2 + 3 + 4 + 5 + 6) / 6 = 3.5
Utilizing these values, ready to calculate the y-intercept:
b = 177.17 - (-17.5 * 3.5) = 235.92
Presently that we have the incline and y-intercept, we are able to utilize the condition for a line to anticipate the number of complaints at the conclusion of week 8:
y = -17.5x + 235.92
where x = 8 (since we need to anticipate the number of complaints at the conclusion of week 8)
y = -17.5(8) + 235.92
y = 96.42
Adjusting to the closest entirety number, the answer is (B) 96 complaints. Therefore, the company ought to anticipate 96 complaints at the conclusion of week 8 based on the line of best
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william borrows money to buy a 9000 car. the intrest rate on the loan 4.5%, compunded annuallly. the loan is for 3 yearshow much does william owe in total
William owes a total of $10,142.84. To calculate this, we first need to determine the total interest paid over the 3-year period.
Using the formula A = P(1 + r/n)^(nt), where:
A = the final amount owed
P = the principal amount borrowed (in this case, $9000)
r = the interest rate (4.5%)
n = the number of times the interest is compounded per year (annually in this case)
t = the number of years (3 in this case)
We can plug in the values:
A = 9000(1 + 0.045/1)^(1*3)
A = 9000(1 + 0.045)^3
A = 9000(1.1412)
A = 10,270.88
This gives us the total amount owed after 3 years. But we only want to know the principal plus interest, so we subtract the original amount borrowed:
10,270.88 - 9000 = 1270.88
Therefore, William owes a total of $10,142.84 (rounded to the nearest cent).
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The number of taste buds a person has varies. There are three general classifications of taste: supertaster, medium taster, and nontaster. In one study, the number of women classified as supertasters was 3.25 times the number of men classified as supertasters. Suppose 65 women were classified as supertasters. Write an equation that represents the number of men x who were classified as supertasters. Then, solve the equation you wrote. How many men were classified as supertasters?
There were 20 mens that classified as supertasters.
We will use the unitary method which is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
we have been told that the number of women was 3.25 times the number of men. Therefore,
Number of women = 3.25 m
Since there are 65 women, the number of men will be:
3.25 m = 65
Men = 65/ 3.25
Men = 20
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The weight of food packed in certain containers is a random variable with a mean of 16 0z. and a standard deviation of 0.6 oz. If 36 packages are randomly selected, find the probability that the mean will be greater than 16.2 oz.
The weight of food packed in certain containers is a random variable with a mean of 16 0z. and a standard deviation of 0.6 oz. If 36 packages are randomly selected, the probability that the mean will be greater than 16.2 oz is 2.28%.
Given that the weight of food packed in containers is a random variable with a mean (µ) of 16 oz. and a standard deviation (σ) of 0.6 oz, we want to find the probability that the mean weight of a sample of 36 packages (n) will be greater than 16.2 oz.
Step 1: Calculate the standard error (SE) of the sample mean.
SE = σ / √n = 0.6 / √36 = 0.6 / 6 = 0.1
Step 2: Calculate the z-score for 16.2 oz.
z = (sample mean - population mean) / SE = (16.2 - 16) / 0.1 = 2
Step 3: Find the probability that the mean weight will be greater than 16.2 oz.
To find the probability for a z-score of 2, we can look it up in a standard normal (z) table or use a calculator that provides the area to the left of the z-score.
Using the table or calculator, we find the area to the left of the z-score 2 is approximately 0.9772. Since we are looking for the probability of the mean weight being greater than 16.2 oz, we want the area to the right of the z-score. To find this, subtract the area to the left from 1:
1 - 0.9772 = 0.0228
So, the probability that the mean weight of the 36 packages will be greater than 16.2 oz is approximately 0.0228 or 2.28%.
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He had a/an…..of notes to be read before exams.
a. wad
b. bunch
c. stack
d. album
The most appropriate option in this context would be "stack".
"Stack" is commonly used to refer to a collection of papers or documents, such as a pile of notes. "Wad" typically refers to a small, crumpled mass of paper or money, while "bunch" suggests a more haphazard or unorganized grouping. "Album" typically refers to a book or binder containing a collection of photographs or other images, rather than notes.
Answer:
c. stack is the correct answer
What parametric statistical method(s) a researcher can use to determine if the mean total cholesterol level of the population is the same for four groups of subjects (Group 1 = Diet Restriction; Group 2 = Exercise; Group 3 = Both Diet and Exercise; Group 4 = None).
a. Statistical Test is _____.
b. Null Hypothesis is _____.
c. Alternative Hypothesis is _____.
The alternative Hypothesis is that at least one of the mean total cholesterol levels is different from the others in the four groups of subjects.
A researcher can use an analysis of variance (ANOVA) parametric statistical method to determine if the mean total cholesterol level of the population is the same for four groups of subjects (Group 1 = Diet Restriction; Group 2 = Exercise; Group 3 = Both Diet and Exercise; Group 4 = None).
a. Statistical Test is ANOVA.
b. Null Hypothesis is that the mean total cholesterol level of the population is the same for all four groups.
c. Alternative Hypothesis is that the mean total cholesterol level of the population is different for at least one group.
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Jim Corporation pays its cumulative preferred stockholders $1.60 per share. Jim has 10,000 shares of preferred and 65,000 shares of common. In 2013, 2014, and 2015, due to slowdowns in the economy, Jim paid no dividends. Now in 2016, the board of directors decided to pay out $550,000 in dividends.
How much of the $550,000 does each class of stock receive as dividends?
Dividends
Preferred stock $
Common stock $
The preferred stockholders are entitled to receive their dividend of $1.60 per share, regardless of whether or not Jim Corporation was able to pay it in the previous years.
Therefore, the total dividend amount for the preferred stockholders is:
10,000 shares x $1.60 per share = $16,000
To determine how much each class of stock receives in dividends, we need to subtract the total preferred stock dividend from the total dividend amount of $550,000:
$550,000 - $16,000 = $534,000
This remaining amount is the dividend available for the common stockholders. To calculate how much each common stockholder will receive, we need to divide this amount by the total number of common shares:
$534,000 ÷ 65,000 shares = $8.22 per share
Therefore, each class of stock receives the following dividends:
Preferred stock: $16,000
Common stock: $8.22 per share
Jim Corporation's cumulative preferred stockholders receive $1.60 per share. There are 10,000 shares of preferred stock, so the total annual preferred dividend is $1.60 x 10,000 = $16,000.
Since the preferred dividends were not paid in 2013, 2014, and 2015, the company owes the preferred stockholders a total of $16,000 x 3 = $48,000 in dividends.
In 2016, the board of directors decided to pay out $550,000 in dividends. First, the preferred stockholders will receive their overdue dividends of $48,000. After paying the preferred dividends, there will be $550,000 - $48,000 = $502,000 left for distribution.
Next, the preferred stockholders will receive their 2016 dividends of $16,000, leaving $502,000 - $16,000 = $486,000 for common stockholders.
So, the preferred stock receives $48,000 (past due) + $16,000 (current) = $64,000 in dividends, and the common stock receives $486,000 in dividends.
Dividends:
Preferred stock: $64,000
Common stock: $486,000
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A frog fell into a drain that was 245 inches deep. For every jump, the frog climbs 7 inches, but slides down 4 inches. If this pattern continues, how many hops will it take the frog to get out of the drain?
Answer:
81 jumps
Step-by-step explanation:
You want the number of jumps required to escape from a drain 245 inches deep if each jump climbs 7 inches, but slides back 4.
SequenceThe heights in inches reached after 1, 2, 3 jumps are ...
7, 10, 13, ...
That is, the n-th jump will reach a height of 3n+4 inches.
EscapeTo obtain a height of 245 inches, we require ...
3n +4 ≥ 245
3n ≥ 241
n ≥ 80 1/3 . . . . . . . where n is an integer
It will take 81 hops for the frog to escape the drain.
__
Additional comment
On the 80th jump, the frog reaches a height of 244 inches, but slides back to 240. The 81st jump will take the frog to a height of 247 inches, which gets it out of the drain.
<95141404393>
what is the radius of a hemisphere with a volume of 45729 in 3 , 45729 in 3 , to the nearest tenth of an inch?
The radius of the hemisphere is approximately 28.0 inches to the nearest tenth.
To find the radius of a hemisphere with a volume of 45,729 in³, we'll use the formula for the volume of a sphere, since a hemisphere is half of a sphere. The volume of a sphere (V) is given by:
V = (4/3)πr³
Since we're dealing with a hemisphere, we'll adjust the formula accordingly:
V = (1/2)(4/3)πr³
Given the volume of the hemisphere is 45,729 in³, we can set up the equation:
45,729 = (1/2)(4/3)πr³
Now, we'll solve for r (the radius) to the nearest tenth:
1. Multiply both sides by 2:
91,458 = (4/3)πr³
2. Multiply both sides by 3/4:
68,594 = πr³
3. Divide both sides by π:
21,841 ≈ r³
4. Take the cube root of both sides:
r ≈ 28.0
So, the radius of the hemisphere is approximately 28.0 inches to the nearest tenth.
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you plan on purchasing a new LCD television that cost $890 plus 8.1% tax. How much is the total cost of the television after tax?
The total cost of the television after tax is $962.09.
The total cost of the television after tax is equal to the sum of the cost of the television and the tax amount.
The tax amount is calculated as,
Tax amount = 8.1% of $890
Tax amount = 0.081 x $890
Tax amount = $72.09
Total cost of the television after-tax = Cost of the television + Tax amount
Total cost of the television after tax = $890 + $72.09
The total cost of the television after-tax = $962.09
Therefore, the total cost of the television after tax is $962.09.
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the uniform probability density function for ta business executive, transferred from chicago to atlanta, needs to sell her house in chicago quickly. the executive's employer has offered to buy the house for 212,000, but the offer expires at the end of the week. the executive does not currently have a better offer but can afford to leave the house on the market for another month. from conversations with her realtor, the executive believes the price she will get by leaving the house on the market for another month is uniformly distributed between $200,000 and 230,000. (a) if she leaves the house on the market for another month, what is the mathematical expression for the probability density function of the sales price? let x
The mathematical expression for the probability density function of the sales price is PDF(x) = 1/30,000 for 200,000 <= x <= 230,000.
Based on your question, we want to find the mathematical expression for the probability density function (PDF) of the sales price, given that the price is uniformly distributed between $200,000 and $230,000.
The function f(x) represents this probability density function, where the height of the function is 1/3000 (the width of the range of possible prices is 30,000, so the area under the function must equal 1), and it is 0 outside of that range.
For a uniform distribution, the probability density function is constant across the given range. To find the value of this constant, we can use the formula:
PDF(x) = 1 / (b - a)
where a is the lower limit of the range ($200,000), b is the upper limit of the range ($230,000), and x represents the sales price.
This is because the executive believes that the price she will get by leaving the house on the market for another month is uniformly distributed between $200,000 and $230,000, which means that the probability is equal.
Plugging in the values, we get:
PDF(x) = 1 / (230,000 - 200,000)
PDF(x) = 1 / 30,000
So the mathematical expression for the probability density function of the sales price, if she leaves the house on the market for another month, is:
PDF(x) = 1/30,000 for 200,000 <= x <= 230,000
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Help me find the volume! PLEASE ITS IMPORTANT!!!!
The volume of the given pyramid is approximately 780.975 cubic kilometers.
Given information:
The provided shape is a pyramid with a triangular base.
And the width of the base is 11.7 kilometers and the length of the base is 26.7 kilometers.
And the height of the pyramid is 15 kilometers.
To find the volume of a pyramid with a triangular base, we use the formula:
V = (1/3)Bh
where V is the volume, B is the area of the base, and h is the height of the pyramid.
In this case, we are given that the base of the pyramid is a triangle with a width of 11.7 kilometers and a length of 26.7 kilometers.
To find the area of this triangle, we use the formula for the area of a triangle:
B = (1/2)bh
where b is the width and h is the length of the base of the triangle.
Substituting the given values, we get:
B = (1/2)(11.7)(26.7)
B = 156.195 km²
Now, we substitute the values of B and h into the formula for the volume of a pyramid:
V = (1/3)(156.195)(15)
V = 780.975 km³.
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Question 9 of 10
The vertex of this parabola is at (2, -4). When the y-value is -3, the x-value is
-3. What is the coefficient of the squared term in the parabola's equation?
10
10+
-10
O A. -1
OB. -5
O C. 1
DE
← PREVIOUS
(2,-4)
10
The coefficient of the squared term in the parabola's equation is 1/25.
How to determine the factored form of a quadratic equation?In this exercise, you are required to determine the factored form of the given quadratic function that passes through the points (2, -4) and (-3, -3).
In Mathematics, the vertex form of a quadratic function is represented by the following mathematical equation:
f(x) = a(x - h)² + k
Where:
h and k represents the vertex of the graph.a represents the leading coefficient.Based on the information provided above, we can determine the value of a as follows:
f(x) = a(x - h)² + k
-3 = a(-3 - 2)² - 4
-3 = 25a - 4
1 = 25a
a = 1/25
Therefore, the required quadratic function is given by:
f(x) = a(x - h)² + k
f(x) = y = 1/25(x - 2)² - 4
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the conditions are met for use of a normal model to represent the distribution of sample means. which of the following are used to verify normality conditions for this scenario?
There are several methods that can be used to verify the normality conditions for a scenario where a normal model is used to represent the distribution of sample means.
One common method is the visual inspection of a histogram or a normal probability plot. Another method is to use statistical tests such as the Shapiro-Wilk test or the Kolmogorov-Smirnov test to assess the normality of the sample data. Additionally, the sample size and the presence of outliers can also impact the normality conditions and should be taken into consideration when verifying normality.
Hi! To verify the normality conditions for the distribution of sample means, you should consider the following criteria:
1. Randomness: The sample data must be collected randomly to ensure independence of observations.
2. Sample size: The sample size should be sufficiently large (typically, n ≥ 30) to allow the Central Limit Theorem to apply.
3. Underlying distribution: If the population distribution is known to be normal, the sample means will also be normally distributed regardless of sample size.
These criteria help ensure the use of a normal model is appropriate in representing the distribution of sample means.
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How do you find x to find angles?
X is used as a Place holder for the value(s) in math. Oh and angle BAG should be around 135!
a. The area of the new parking lot is represented by (100-x)(100+2). Find this product.
ft²
b. Does the area of the parking lot increase, decrease, or stay the same?
The area of the parking lot
:: increases
:: decreases
The original area is 10,000 ft², so the new area is the original area
:: stays the same :: increased by ² :: decreased by ²
c. Use the polynomial in part (a) to find the area of the new parking lot when * = 21.
:: left alone
The solution to the questions on algebra word problem are:
a) 10000 - x²
b) The area of the parking lot decreases
c) when x = 21, the area is 9559 ft²
How to solve algebraic word problems?a) Since the area of the new parking lot is expressed as:
(100 - x)(100 + x)
Expanding this gives:
10000 - x²
b) The original area is 10,000 ft²
The new area is 10000 - x²
Thus:
10,000 - (10000 - x²) = x²
Thus, the area of the parking lot decreases
c) when x = 21, we have:
10000 - 21² = 9559 ft²
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Can someone tell me if the answers I did are right or wrong and help me with the graphing, please? Its a lot of work so I'm giving 100 points.
Okay to make this easy for the both of us i will attach the graphing part below and color code the question to it graph.
Step-by-step explanation:
Problem 15 is ( 0,0.5) =Graph color Red
Problem 16 is( 0,0.25) = Graph color Blue
Problem 17 is (0,3) = Graph color Green
Problem 18 is (0,4) = Graph color Purple
I just listed the points in which they past through so it would be easier to plot.
I hope I helped you a lot.
Well let me know when you get this and how you did so I will know if i did it correct.
Estimate the product of 153 and 246 
The estimated product of 153 and 246 is 37500.
Estimating the product of 2 numbersIn order to estimate the product of 153 and 246, both numbers need to be rounded off to the nearest 10 as follows:
153 ≈ 150246 ≈ 250Next, the rounded numbers can be multiplied as follows:
150 x 250 = 37500
In other words, an estimate of the product of 153 and 246 is 37500.
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