I think we're not supposed to do more than 3 problems in one answer; certainly not five pages. Does the 1/3 mean there are 10 more to come?
I'll do the first page.
6)
Right triangle, opposite side of 10, adjacent side of 21,
tan x = opp/adj = 10/21
x = arctan 10/21 = 25.46°
Answer: 25
7)
cos x = adj / hyp = 10/14
x = arccos 10/14 = 44.42°
Answer: 44
8)
tan x = opp/adj = 12/24 = 1/2
x = arctan 1/2 = 26.57°
Answer: 27
9)
tan x = 31/32
x = arctan 31/32 = 44.09°
Answer: 44
10)
x = arctan 10/27 = 20.32°
Answer: 20
on average, which value is expected for the f-ratio if the null hypothesis is false?
. 0
. 1
. Between 0 and 1.00
. Much grer than 1.00
On average, if the null hypothesis is false, the expected value for the F-ratio is much greater than 1.00.
The F-ratio is a statistic used in analysis of variance (ANOVA) tests to compare the variances between groups. In the context of hypothesis testing, the F-ratio measures the ratio of the variability between groups to the variability within groups. When the null hypothesis is false, it means that there is a significant difference between the groups being compared.
If the null hypothesis is false, it implies that there are systematic differences between the groups, resulting in larger variation between groups compared to within groups. This leads to a higher F-ratio value. The F-ratio is calculated as the ratio of the mean square between groups to the mean square within groups. As the differences between groups become more pronounced, the F-ratio increases, indicating a greater likelihood of rejecting the null hypothesis.
Therefore, if the null hypothesis is false, the expected value for the F-ratio is much greater than 1.00, indicating significant variability between groups.
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You want to read a certain book. This book costs \( \$ 20 \). If you only have \( \$ 10 \), can you buy the book? A. No. If you have \( \$ 25 \), can you buy the book? B. Yes. If you have \( \$ 25 \),
If you only have $10 and the book costs $20, No, you cannot buy the book. However, if you have $25, Yes, you can afford the book and still have $5 left after the purchase.
In scenario A, where you have $10 and the book costs $20, you cannot buy the book. The cost of the book exceeds the amount of money you have, leaving you $10 short. In this case, you would need to find an additional $10 in order to afford the book.
In scenario B, where you have $25 and the book costs $20, you can buy the book. With $25, you have enough funds to cover the full price of the book. After purchasing the book, the remaining amount found by subtraction of the cost of the book from the amount you have (ie) the remaining amount = the amount you have - the cost of the book = $25 - $20 = $5
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The given question is
You want to read a certain book.
A. This book costs $ 20. If you only have$ 10, can you buy the book?
B. If you have $ 25, can you buy the book?
Question 7 of 25
What is the approximate value of sin C?
Answer:
-0.5
Step-by-step explanation:
In the figure find the value of x figure is not drawn on scale
Answer:
x + 110 + 47 = 180
x = 180 - 157
x = 23
Two positive numbers have a difference of 8. The larger number is two more than twice the smaller. Find the two numbers
Let the bigger number be 'p' and the smaller number 'p'.
Since the numbers have a difference of 8, then p - q = 8
& since the larger number is two more than twice the smaller, then
p = 2q + 2
⇒ (2q + 2) - q = 8 [by substituting for equation for p]
q = 6
Since q = 6,
⇒ p - 6 = 8
p = 14
∴ the smaller number is 6 and the bigger 14
Who has the best conclusion?A.Joe said the average grade was a 75.B.Collin said almost 15% made between a 91 and a 100.C.Paulina said most of the class made between a 71 and a 80.D.Quannah said that most of the students understood the concepts that were not tested.
Based on the given grade distribution, Paulina's conclusion (C) that most of the class made between a 71 and an 80 is the best conclusion among the options provided.
What is the average?
This is the arithmetic mean and is calculated by adding a group of numbers and then dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.
To determine who has the best conclusion among Joe, Collin, Paulina, and Quannah, let's evaluate each statement in relation to the given grade distribution:
A. Joe said the average grade was a 75.
Since we have the grade distribution, we can calculate the average grade to verify Joe's statement. However, the distribution alone is not sufficient to determine the average grade. We would need additional information such as the exact values within each grade range. Therefore, we cannot determine if Joe's conclusion is the best based solely on the given information.
B. Collin said almost 15% made between a 91 and a 100.
Based on the given grade distribution, we can calculate the percentage of students who fall within the range of 91-100. In this case, it is 10 students out of a total of 35 students. So, the percentage is approximately 28.6%, not close to 15%. Therefore, Collin's conclusion is not accurate based on the given information.
C. Paulina said most of the class made between a 71 and an 80.
Considering the grade distribution, the largest number of students (12) falls within the range of 71-80. Thus, Paulina's conclusion aligns with the data and can be considered the best conclusion based on the given information.
D. Quannah said that most of the students understood the concepts that were not tested.
The given grade distribution does not provide information about the understanding of concepts. It solely represents the distribution of grades. Therefore, Quannah's conclusion cannot be determined based on the given information.
hence, Based on the given grade distribution, Paulina's conclusion (C) that most of the class made between a 71 and an 80 is the best conclusion among the options provided.
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prove that the eigenvectors corresponding to distinct real eigenvalues of a symmetric matrix are orthogonal.
Prove of the eigenvectors corresponding to distinct real eigenvalues of a symmetric matrix are orthogonal, given below -
What is matrix?The study of matrices is the main focus of the mathematical field known as matrix theory. It started out as a branch of linear algebra but quickly expanded to cover topics in graph theory, algebra, combinatorics, and statistics.
a collection of integers lined up in rows and columns to form a rectangular array is called a matrix. The elements, or entries, of the matrix, are the integers. In addition to several mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics.
Suppose λ and μ are 2 distinct values of matrix A.
For the matrix to be Symmetric,
(Ax , y) = (x , Ay) condition needs to be satisfied. Here, ( x,y) is dot product between vectors x and y
λ(u,v)=(λu,v) , where u,v are eigen vectors for eigen values λ and μ
⟹λ(u,v)=(Au,v)
⟹λ(u,v)=(u,Av)
⟹λ(u,v)=μ(u,v)
⟹λ(u,v)=μ(u,v)
but λ ≠ μ
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Attached is my written question in picture form. I apologize for my handwriting
The Solution:
Given the linear function below:
\(\begin{gathered} f(x)=4.6x+26 \\ \text{Where} \\ f(x)=\text{ the number of graduates from college } \\ x=\text{ number of years after 1998} \end{gathered}\)So, the slope of the linear function above is the coefficient of x in the given linear function. Therefore, the slope of the given function is 4.6
The interpretation of the slope is 4.6% of the people graduate from college every year after the year 1998.
part 40000 of me forgetting math please help
I would say complementary because it is 90 degrees. Fun fact: out of a/90 or b/90, whatever the answer is for one of the angles, the other angle will be the degree of that angle subtracted by 90
How much money will it cost you to drive a diesel tractor trailer truck 175.0 miles if it gets 8.500 miles per gallon and diesel fuel costs $3.599/gallon
To calculate the cost of driving a diesel tractor trailer truck for 175.0 miles, we need to determine the number of gallons of fuel required and then multiply it by the cost per gallon.
Calculate the number of gallons of fuel needed. Given that the truck gets 8.500 miles per gallon, we divide the total distance (175.0 miles) by the fuel efficiency: 175.0 miles / 8.500 miles per gallon
= 20.59 gallons (approximately)
Calculate the cost of the fuel.Since diesel fuel costs $3.599 per gallon, we multiply the number of gallons needed by the cost per gallon: 20.59 gallons x $3.599/gallon = $73.89 (approximately) Therefore, it will cost you approximately $73.89 to drive the diesel tractor trailer truck for 175.0 miles, assuming it gets 8.500 miles per gallon and diesel fuel costs $3.599 per gallon.
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S. The area of a stage for a concert is 216 square feet. The length is 6 times the width. Find the dimensions of
the stage
Answer:
Width=6 Length=36
Step-by-step explanation:
The stage is rectangular since the length is not equal to width.
We use the formula (Width × Length) to obtain the area of any rectangle.
But the Length is 6 times the Width, therefore we equate the formula for the area of stage as
Width × 6Width = 216
we get Width as 6 and 6width which is the length as 36
Solve the system of equations by graphing. y=-2x+1 y=-5x+4
Answer:
plot points
y=-2x+1
(0,1)
(1,-1)
plot points
y=-5x+4
(0,4)
(1,-1)
Step-by-step explanation:
Answer:
(1,-1)
Step-by-step explanation:
You would graph y=-2x+1 by starting the graph at (0,1) then placing another point at (-1, 3) and drawing a straight line through those points. You would graph y=-5x+4 by starting the graph at (0,4) then placing another point at (-1, 9) and drawing a straight line through those points. The answer would be where the two graphs intersect which is (1,-1).
A project's initial fixed asset requirement is $1,620,000. The fixed asset will be depreciated straight-line to zero over a 10 year period. Projected fixed costs are $220,000 and projected operating cash flow is $82,706. What is the degree of operating leverage for this project?
Approximately -0.602 is the operating leverage for this project.
We must apply the following formula to determine a project's degree of operational leverage (DOL):
DOL is calculated as (percentage change in operating cash flow) / (change in sales).
In this instance, we can determine the DOL using the fixed expenses and operational cash flow since we just have one set of predicted statistics.
DOL is equal to operating cash flow divided by fixed costs.
DOL = $82,706 / ($82,706 - $220,000)
DOL = $82,706 / -$137,294
DOL ≈ -0.602
Approximately -0.602 is the operating leverage for this project. The project's operating cash flow and fixed costs are inversely correlated, which means that when fixed costs rise, operating cash flow decreases. This relationship is indicated by a negative DOL.
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Emily asked the players on her volleyball team their height in inches and listed the results below. What is the range of the data set? Round to the nearest tenth when necessary. 70, 70, 70, 60, 65, 67
Answer:
the range is 10
Step-by-step explanation:
70 is the highest and 60 is the lowest
70-60=10
Megan measures the height and arm spans of the girls on her basketball team. She plots the data and makes a scatterplot comparing heights and arm spans in inches. Megan finds that the trend line that best fits her results has the equation y = x +2. If a girl on her team is 64 inches tall, what should Megan expect her arm span to be.
A. Y = 64-2 = 62 inches
B. y = 64+2 = 66 inches
C. y = 64 inches
D. 64 = X +2
X = 62 inches
Answer:B
Step-by-step explanation:AP3X
The arm span of the girl of height 64 inches will be 66 inches based on the function thus option (B) is correct.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
As per the given function,
y = x + 2
Here y is the arm span and x is the height.
For height 64 inches x = 64
y = 64 + 2 = 66 inches
Hence "The arm span of the girl of height 64 inches will be 66 inches based on the function".
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Is the trend line linear? If so, write a linear equation that represents the trend line. Show your work.
A graph showing the fat and calories content has increased in the number of calories with the increasing number of fat.
A linear trend is the best fit straight line that is showing a positive relationship as it's going upwards. As the plotted residues represent a line that is almost straight and these data points resemble a line. This trend shows an increase in the data correlation. For example, the increased in distance will lead to an increase in time and this can be positively correlated within the graph. The equation of y = MX + b and y = 10x + 0 for a and b.Thus the graph shows a linear trend and in increasing order.
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Answer:
The equation is "Y = 56.36*X + 56.47"
Step-by-step explanation:
The form of the equation is y=mx+b, m = slope and b = intercept.
You have to find the slope of the trend line or you can use the plot points, but identifying the slope in the trend line is much easier.
It seems there are two points that are outliers and need no paying attention to, this is because outliers can make predictions unreliable and also make the trend line unreliable overall as well.
Have a Jocular day.
A mathematician threw a party. She told her guests, “I have a riddle for you. I have three daughters. The product of their ages is 72. The sum of their ages is the same as my house number. How old are my daughters?” The guests went outside to look at the house number. They thought for a few minutes, and then said, “This riddle can’t be solved!” The mathematician said, “Oh yes, I forgot to tell you the last clue. My youngest daughter prefers strawberry ice cream.” With this last clue, the guests could solve the riddle. How old are the mathematician’s daughters?
Answer:
108 years old
Step-by-step explanation:
first you divide 72 by 2 and you get 36
then you multiply 36 by 3 and you get 108 which is the answer
Please explain i don’t get it
two students are chosen at random
Find the probability that both their reaction times are greater than or equal to 9 seconds
Answer: So the probability that both students have reaction times greater than or equal to 9 seconds is approximately 0.0251 or 2.51%.
Step-by-step explanation:
However, assuming that you are referring to a hypothetical scenario where two students are chosen at random from a larger population, and that their reaction times follow a normal distribution with a mean of μ and a standard deviation of σ, the probability that both students have reaction times greater than or equal to 9 seconds can be calculated as follows:
Let X1 and X2 be the reaction times of the first and second students, respectively. Then, we can write:
P(X1 ≥ 9 and X2 ≥ 9) = P(X1 ≥ 9) * P(X2 ≥ 9 | X1 ≥ 9)
Since the students are chosen at random, we can assume that their reaction times are independent, which means that:
P(X2 ≥ 9 | X1 ≥ 9) = P(X2 ≥ 9)
Now, if we assume that the reaction times follow a normal distribution, we can standardize them using the z-score:
z = (X - μ) / σ
where X is the reaction time, μ is the mean, and σ is the standard deviation. Then, we can use a standard normal distribution table to find the probability that a random variable Z is greater than or equal to a certain value z. In this case, we have:
P(X ≥ 9) = P(Z ≥ (9 - μ) / σ)
Assuming that μ = 8 seconds and σ = 1 second, we can calculate:
P(X ≥ 9) = P(Z ≥ 1)
Using a standard normal distribution table, we can find that P(Z ≥ 1) ≈ 0.1587.
Therefore:
P(X1 ≥ 9 and X2 ≥ 9) = P(X1 ≥ 9) * P(X2 ≥ 9 | X1 ≥ 9)
= P(X ≥ 9) * P(X ≥ 9)
= (0.1587) * (0.1587)
≈ 0.0251
So the probability that both students have reaction times greater than or equal to 9 seconds is approximately 0.0251 or 2.51%.
a student takes a true-false test that has 14 questions and guesses randomly at each answer. let x be the number of questions answered correctly. find p(5) group of answer choices 0.0001 0.0611 0.1833 0.1222
The probability to answer 5 questions correctly from 14 true or false questions is 0.1222
The given situation represents a binomial experiment, where there are only two possible outcomes for each trial: success (answering correctly) and failure (answering incorrectly). To find the probability of a particular number of successes, we use the binomial probability formula:
P(x)= nCx × p^x × q^(n-x)
Where, n is the total number of trials, p is the probability of success on each trial, q is the probability of failure on each trial (1-p), and x is the number of successes desired.
n = 14 (total number of questions)
p = 1/2 (probability of answering correctly when guessing randomly), and q = 1/2 (probability of answering incorrectly when guessing randomly).
To find P(5), we substitute these values in the formula
P(5) = 14C5 * (1/2)^5 * (1/2)^9= 2002 * (1/32) * (1/512)= 2002 / 16384≈ 0.1222
Therefore, the answer is option D, 0.1222.
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Woof Chow Dog Food Company believes that it has a market share of 25 percent. It surveys n = 100 dog owners and ask whether or not Woof Chow is their regular brand of dog food, and 23 people say yes. Based upon this information, what is the critical value if the hypothesis is to be tested at the 0.05 level of significance?
The critical value for the 0.05 level of significance is k = 21.
To find the critical value, we can use the binomial distribution. The binomial distribution models the number of successes in n independent Bernoulli trials, each with probability p of success. In this case, the number of successes is the number of dog owners who say Woof Chow is their regular brand, and the number of trials is n = 100. The null hypothesis is that the true market share of Woof Chow is 25%, and the alternative hypothesis is that it is not 25%.
We can use the binomial cumulative distribution function (CDF) to find the critical value. The CDF gives the probability of getting k or fewer successes in n trials, given a probability of success p. The critical value is the smallest value of k such that the CDF at k is greater than or equal to 1 - alpha, where alpha is the level of significance. In this case, alpha = 0.05.
So, we want to find the smallest k such that:
P(X <= k) >= 1 - 0.05
where X is a random variable representing the number of dog owners who say Woof Chow is their regular brand. We can use a binomial calculator or a software package to calculate the binomial CDF, or we can use a table of critical values for the binomial distribution.
The critical value for the 0.05 level of significance is k = 21. This means that if the true market share of Woof Chow is 25%, then the probability of getting 23 or more dog owners who say Woof Chow is their regular brand is less than 0.05. Since the observed number of dog owners who say Woof Chow is their regular brand is 23, which is greater than 21, we can reject the null hypothesis that the true market share is 25%.
This means that based on the survey results, we cannot conclude that Woof Chow has a market share of 25%. The survey results suggest that Woof Chow may have a market share that is greater than 25%.
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2. Andy wants to mail a package. It costs $4.99 plus $0.30 for every ounce the package weighs.Write an equation that represents the total cost of shipping the package. *Hint: Use y = mx + b
We have here a case of a linear situation. We have that:
1. We have a fixed cost of $4.99.
2. And we need to add $0.30 for every ounce the package weighs.
The equation that represents the total cost of the shipping is:
\(T_{\cos t}=0.30x+4.99\)We can see that per every ounce, we need to multiply it by $0.30 to obtain the total cost (plus the fixed cost of $4.99).
We expressed the equation in the slope-intercept form (y = mx +b).
suppose albers elementary school has 57 teachers and bothel elementary school has 71 teachers. if the total number of teachers at albers and bothel combined is 94, how many teachers teach at both schools?
There is 34 teachers who teach on both school. The name of the schools are albers and bothel.
What is a linear equation?
The equation for a linear equation in one variable is written as ax+b = 0, where a and b are two integers, and x is a variable. This equation has only one solution. For instance, the linear equation 2x+3=8 only has one variable.
Given that, the number of teacher in albers elementary school is 57.
The number of teacher in bothel elementary school 71.
Total number of teacher at both schools is 94.
Assume that a number of teacher is common in both school.
The number of teacher who tech only at albers elementary school is 57 - a.
The number of teacher who tech only at bothel elementary school is 71 - a.
The total number of teacher is
The number of teacher who tech only at albers elementary school + number of teacher who tech only at bothel elementary school + the number of teacher who teach at both schools
= 57 - a + 71 - a + a
= 128 - a
Therefore,
128 - a = 94
Subtract 128 from both sides:
-a = -34
Divide both sides by -1:
a = 34.
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what is 8(4 - x) = 7x + 2
Answer: x = 2
Step-by-step explanation:
8(4 - x) = 7x + 2= 8(-x + 4) = 7x + 2= -8x + 32 = 7x + 2= -8x + 32 - 32 = 7x + 2 - 32= -8x = 7x + 2 - 32 = -8x = 7x = 30= -8x - 7x = 7x + 30 - 7x= -15x = 7x - 30 - 7x= -15x = 30 -15x/-15 = -30/-15 = x = -30/-15= x = 2And thats how you get the answer!
find the inverse of the function f(x) = 5/6x +10
Answer:
\(\displaystyle f^{-1}(x)=\frac{6x-60}{5}\)
Step-by-step explanation:
Inverse function
Given the function
\(\displaystyle f(x)=\frac{5}{6}x+10\)
We find its inverse following the procedure below:
Set y=f(x)\(\displaystyle y=\frac{5}{6}x+10\)
Multiply by 6:\(6y=5x+60\)
Operate:\(5x=6y-60\)
Solve for x:\(\displaystyle x=\frac{6y-60}{5}\)
Swap variables:\(\displaystyle y=\frac{6x-60}{5}\)
Make the new y the inverse function:\(\boxed{\displaystyle f^{-1}(x)=\frac{6x-60}{5}}\)
This is the inverse function
Find the slope of the line.
Tri-County G\$T selis 150,000 MWh per yeat of electrical power to Boulder at $80 per MWh, has fixed costs of $80.1 milion per yoar, and has varistele costs of $20 por MWh. If Tri-County has 1,000,000MW h of demand from its customers (other than Boulder), what will Tri-County have to charge to break even? Tri-County wit have to charge? to break oven. (Enter your response rounded to the nearest penny.)
Tri-County will have to charge approximately $83.1 per MWh to break even.
To calculate the break-even price that Tri-County will have to charge to cover its costs, we need to consider both the fixed costs and the variable costs. The fixed costs are given as $80.1 million per year.
The variable costs are calculated by multiplying the quantity of electrical power sold (150,000 MWh per year to Boulder) by the variable cost per MWh ($20). Therefore, the variable costs amount to 150,000 MWh/year * $20/MWh = $3 million per year.
To cover both fixed and variable costs, Tri-County needs to charge a total amount that equals the sum of these costs. The total cost is $80.1 million + $3 million = $83.1 million per year.
Now, let's calculate the break-even price per MWh. Since Tri-County has a demand of 1,000,000 MWh from its customers (other than Boulder), we can divide the total cost by this quantity to find the break-even price.
Break-even price = Total cost / Quantity of electrical power demanded
Break-even price = $83.1 million / 1,000,000 MWh = $83.1/MWh
Therefore, Tri-County will have to charge approximately $83.1 per MWh to break even.
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Please help me I'm in a big hurry so I need the correct answer
Answer:
Anyone of those would be correct(sorry had to do it)
Step-by-step explanation:
You said so XD
i need one more smart person plezzz
Answer:
Interior: 135 degrees
Exterior: 45 degrees
Step-by-step explanation:
The interior angle of a regular octagon is exactly 135 degrees, which can be found using the (n – 2)180 formula. The exterior is simply 180 - the interior, which is 45. :)
Answer:
whadda say
Step-by-step explanation:
interior angle: (n-2)×180°
exterior angle: (n-2)÷180°
F(x)=x^2 what is g(x)