21.0
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Solve for the variable
2x + 10 = 30
Answer:
x=10
Step-by-step explanation:
30-10=20
20/2=10
2(10)+10=30
Answer:
x=10
Don’t hold me up on this but, I think this is the answer.
May I please receive help?
Answer:
Angle E = 105°Angle F = 50°Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
The picture shows the formula for standard deviation. What does x represent in the formula
The value x in the formula represents the value of each observation of the data-set.
What are the mean and the standard deviation of a data-set?The mean of a data-set is given by the sum of all values in the data-set, divided by the cardinality of the data-set, which is the number of values in the data-set.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the cardinality of the data-set.More can be learned about standard deviation at https://brainly.com/question/24298037
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Please please urgently helpp❤️
An object's speed decreases by 5% for each minute that it is slowing down. Which of the
following is closest to the percent that its speed will decrease over half-an hour?
Answer: 79%
Step-by-step explanation:
min —> 30 mins because half an hour is 30 mins.
(1 - 0.5)^30 = .214638..
1 - .214638 = .78536
round that to the closest percent equals 79%
i need to find x in #9 and w in #10
Step-by-step explanation:
9. 131+106+67+x=360
237+67+x=360
304+x=360
x=56
10. 90+90+146+w=360
180+146+w=360
326+w=360
w=34
Noise levels at 7 manufacturing plants were measured in decibels yielding the following data:
115,149,143,105,136,157,111
Construct the 80% confidence interval for the mean noise level at such locations. Assume the population is approximately normal.
Step 1 of 4:
Calculate the sample mean for the given sample data. Round your answer to one decimal place.
Step 2 of 4:
Calculate the sample standard deviation for the given sample data. Round your answer to one decimal place
Step 3 of 4:
Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places
Step 4 of 4:
Construct the 80% confidence interval. Round your answer to one decimal place.
The task is to construct an 80% confidence interval for the mean noise level at manufacturing plants based on the given data.
Step 1: Calculate the sample mean. The sample mean is obtained by summing up all the values and dividing by the total number of observations. In this case, the sum of the noise levels is 115 + 149 + 143 + 105 + 136 + 157 + 111 = 916. Dividing this by 7 (the number of observations), we get a sample mean of 916/7 ≈ 130.9 (rounded to one decimal place).
Step 2: Calculate the sample standard deviation. The sample standard deviation measures the spread of the data points around the mean. To calculate it, we use the formula that involves subtracting the mean from each data point, squaring the result, summing all the squared differences, dividing by the total number of observations minus 1, and finally taking the square root. For the given data, the sample standard deviation is approximately 22.8 (rounded to one decimal place).
Step 3: Find the critical value. The critical value corresponds to the desired confidence level and the sample size. Since the confidence level is 80% and the sample size is 7, we need to find the critical value from a t-distribution table. The critical value for an 80% confidence interval with 6 degrees of freedom is approximately 1.943 (rounded to three decimal places).
Step 4: Construct the confidence interval. Using the sample mean, the sample standard deviation, and the critical value, we can construct the confidence interval. The formula for a confidence interval is "sample mean ± (critical value * (sample standard deviation / √(sample size)))". Plugging in the values, we get 130.9 ± (1.943 * (22.8 / √(7))). Evaluating this expression, the 80% confidence interval for the mean noise level at such locations is approximately 103.2 to 158.6 (rounded to one decimal place).
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Draw the reflection of the triangle across the y-axis.
Help !!
PAST DUE MATH HOMEWORK!!! I NEED HELP QUICKLY! EXPLAIN ANSWER!
Answer:
C
Step-by-step explanation:
70.5 times 3.14 is equal to 221.37 so Ferris Wheel was incorrect
A plane started on a flight at 9:30 a.m and arrived at its destination at 1:45pm. The plane used 51 gallons of gas. The number of gallons used per hour was
Will mark Brainlist
Answer:
12 gallons per hour
Step-by-step explanation:
Given the following :
Start time of flight = 9:30 a.m
Arrival time of flight = 1:45p.m
Gallons of gas used during duration of flight = 51 gallons
Number of hours spent during flight:
Arrival time - start time
1:45 pm - 9:30 am = 4hours and 15minutes
4hours 15minutes = 4.25hours
If 4.25hours requires 51 gallons of gas;
Then 1 hour will require ( 51 / 4.25)gallons
= 51 / 4.25
= 12 gallons
Which statements are true about the circle shown? Check all that apply.
Step-by-step explanation:
A circle is only composed of the points on the borderThe distance around the circle is called circumferenceAnalyze variable relationships quiz answers ( IREADY) ( ALL THE ASWERS)
Variable relationships are analyzed to understand correlation. Correlation coefficient and regression analysis are used for analysis.
Variable connections are examined to figure out the relationship between's at least two factors. A positive relationship exists when the two factors increment or lessening together, while a negative relationship exists when one variable increments while the other variable declines. A connection coefficient is a usually utilized factual measure to survey the strength and bearing of the connection between factors.
Other measurable strategies, for example, relapse examination can be utilized to show and anticipate the connection between factors. Dissecting variable connections is vital to grasp the way of behaving of perplexing frameworks and can illuminate dynamic in different fields.
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Which of the following is NOT a component of a linear programming model? O Constraints O Objective Function O Feasible Region O Decision variables Which of the following refers to the collection of all points that satisfy each constraint in an LP problem? O Decision variables O Objective function O Feasible Region O Constraints
The component of a linear programming model that is NOT listed is "Decision variables."
A linear programming model consists of several components that work together to optimize a given objective while considering various constraints. The components of a linear programming model include:
Constraints: These are the limitations or restrictions that define the feasible set of solutions. Constraints restrict the values that decision variables can take.
Objective Function: This function represents the goal or objective of the linear programming problem. It is either minimized or maximized based on specific criteria.
Feasible Region: Also known as the feasible set or feasible solution space, this refers to the collection of all points that satisfy each constraint in the linear programming problem. It represents the set of possible solutions that meet all the given constraints.
However, "Decision variables" is not a component of a linear programming model but rather the unknowns or variables that we want to determine in order to optimize the objective function.
Decision variables are not a component of a linear programming model. The components of a linear programming model include constraints, objective function, and feasible region. The feasible region refers to the collection of all points that satisfy each constraint in the linear programming problem.
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in july 2008, the u.s. population was approximately 302,000,000. approximately how many americans were there in july 2009 if the estimated 2008 growth rate was 0.88%?
Approximately 304,657,600 Americans were there in July 2009 based on the estimated 2008 growth rate of 0.88%.
To find the approximate US population in July 2009, we need to apply the growth rate of 0.88% to the initial population in July 2008.
Convert the growth rate from percentage to decimal:
0.88% = 0.0088
Calculate the number of people added to the population in 2008: 302,000,000 * 0.0088 = 2,657,600
Add this number to the initial population to find the population in July 2009:
302,000,000 + 2,657,600 = 304,657,600.
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In an attempt to avoid a ________ from becoming generic, companies may use it as an adjective describing the category the product belongs to, like Jell-O Brand Gelatin.
To prevent a trademark from becoming generic, companies often utilize it as an adjective to describe the product category it belongs to, as seen with examples like Jell-O Brand Gelatin.
Trademarks are valuable assets for companies as they distinguish their products or services from those of competitors. However, if a trademark becomes generic, it loses its distinctiveness and legal protection. When a trademark becomes a common name for a particular product or service, it is no longer associated exclusively with a specific brand.
To prevent this from happening, companies may use their trademarked name as an adjective to describe the category or type of product it represents. For instance, Jell-O is a well-known brand for gelatin, and the company uses the term "Jell-O Brand Gelatin" to emphasize that Jell-O is a specific brand within the gelatin category.
By using the trademark as an adjective, companies aim to reinforce the connection between their brand and the product category while maintaining the distinctiveness and exclusivity of their trademark. This practice helps protect the trademark's strength and prevents it from becoming a generic term that any company can use, thus preserving its legal protection and brand identity.
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You are standing 50 feet from your grandpas farmhouse when you notice an airplane flying directly above his house. When you look at the airplane the angle of elevation is 70 degrees, when you look at the top of the farmhouse the angle of elevation is 24 degrees how high above the farmhouse is the airplane?
The airplane is flying 94.8 feet above the farmhouse.
The formula for finding the height of an object from a given angle of elevation is:
Height = tan(angle of elevation) * Distance
In this case, we have two angles of elevation and two distances. We can solve for the height of the airplane by first calculating the distance from the observer to the top of the farmhouse. We can do this by using the same formula, but substituting in the angle of elevation of the farmhouse and the known distance between the observer and the farmhouse:
Distance to farmhouse = tan(24°) * 50 feet
Distance to farmhouse = 43.6 feet
Once we have the distance to the farmhouse, we can use the same formula to calculate the height of the airplane above the farmhouse. This time, we substitute in the angle of elevation of the airplane and the distance to the farmhouse:
Height of airplane = tan(70°) * 43.6 feet
Height of airplane = 94.8 feet
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The annual tuition and parent rating of 12 private schools is shown on the scatterplot. The schools are rated on a scale of 0 to 100.
Scatterplot with x axis labeled Tuition Price, US dollars going from 0 to 12,000 and y axis labeled Rating going from 0 to 100. Values at 3,435, 40; 3,884, 76; 4,436, 32; 4,464, 23; 5,782, 86; 5,931, 22; 5,978, 37; 6,305, 76; 7,922, 36; 9,147, 80; 9,315, 4; 9,642, 55.
Part A: Describe the association shown in the scatterplot. (4 points).
Part B: Give an example of a data point that affects the appropriateness of using a linear regression model to fit all the data. Explain. (4 points)
Part C: Give an example of a school that is cost effective and rated highly by parents. (2 points)
We have drawn scatter diagram and given an example of a data point that affects the appropriateness of using a linear regression model and of a school that is cost effective and rated highly by parents.
What is scatter diagram ?The scatter diagram plots two sets of numerical data, one on each axis, to see if there is a link between them. The points will fall along a line or curve if the variables are correlated.
How to show the given data on scatterplot?We are using graphing calculator to show the points to make scatter diagram
Which data point that affects the appropriateness of using a linear regression model to fit all the data ?If a linear model is adequate, the histogram should be about normal, and the residuals scatterplot should have random scatter. The linear model is not adequate if we detect a curved connection in the residual plot.
How a school that is cost effective and rated highly by parents ?Parents can help with events and activities at school, as well as communicate with instructors. They can also be active at home in a variety of ways, including as assisting their children with homework and other obligations, and engaging in talks about educational principles and attitudes.
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Rosita is designing a quilt for her bed. She will use 5/8 of the quilt pieces for the background. What percentage of the quilt will be used for the background
3(2x−7)+ 1/3 (7x+2)
I NEED HELP!!!
Answer:
Today: Friday, 30 October 2020
Hour: 14.49 WIB (in Indonesia)
________________________
3 (2x - 7) + 1/3 (7x + 2)
= 6x - 21 + 7x/3 + 2/3
= 6x + 7x/3 + 2/3 - 21
= 25x - 61/3
(Picture for problem above.)
Find the value of y. Be sure to keep the exact value (use square root and don’t round your answer).
Answer:
y = 8·√3
Step-by-step explanation:
From the drawing of the right triangle, we have;
The length of the opposite leg to the given 60° (reference) angle = 12
The length of the adjacent leg to given 60° (reference) angle = x
The length of the hypotenuse side = y
By trigonometric ratios, we have;
\(sin(Reference \, Angle) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}\)
Therefore, we have;
\(sin(60^\circ) = \dfrac{12}{y}\)
From the value of sin(60°), we have;
\(sin(60^\circ) = \dfrac{\sqrt{3} }{2}\)
\(\therefore y= \dfrac{12}{sin(60^\circ) } = \dfrac{12}{\dfrac{\sqrt{3} }{2} } = \dfrac{2 \times 12 \times \sqrt{3} }{{{3} } } = \dfrac{24 \times \sqrt{3} }{{{3} } } = 8 \cdot \sqrt{3}\)
y = 8·√3
\(\left(x= \dfrac{12}{tan(60^\circ) } = \dfrac{12}{{\sqrt{3} } } = 4\cdot \sqrt{3} \right)\)
Suppose you have a job that pays $13.50 per hour and you work anywhere from 10 to 40 hours per week. a. Write an equation, with a restriction on the variable I, that gives the amount of money, y, you will earn for working 2 hours in one week. y = _____ , Preview with ____ <= x <= ____ b. Use the function rule you have written in part a. to find the y values for the given z values: x = 10, y = ___ x = 20, y= ___
x = 30, y = ____. x = 40, y = ____ c. Construct a line graph from the information found in b. 520+ -480+ 440+ 400- 360 320- 280- 240 200 160+ 120+ 80- 40+ 10 20 30 40 Clear All Draw: Line Dot Open Dot d. State the domain and range of this function. Domain: ____ <= x <= ______
Range: <= y <= _____
e. What is the minimum amount you can earn in a week with this job? You'll earn at least $ ______.
What is the maximum amount? You can earn up to $ ____.
The maximum amount you can earn is $540
a. y = 13.50x , 10 <= x <= 40
b. x = 10, y = 135; x = 20, y= 270; x = 30, y = 405; x = 40, y = 540
c. Domain: 10 <= x <= 40; Range: 0 <= y <= 540
d. The minimum amount you can earn in a week with this job is $135. The maximum amount you can earn is $540.
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CC has the following beginning balances in its stockholders' equity accounts on January 1, 2012: Common Stock, $100,000; Additional Paid-in Capital, $4,100,000; and Retained Earnings, $3,000,000. Net income for the year ended December 31, 2012, is $800,000. Court Casuals has the following transactions affecting stockholders' equity in 2012:
May 18 Issues 25,000 additional shares of $1 par value common stock for $40 per share.
May 31 Repurchases 5,000 shares of treasury stock for $45 per share.
July 1 Declares a cash dividend of $1 per share to all stockholders of record on July 15. Hint: Dividends are not paid on treasury stock.
July 31 Pays the cash dividend declared on July 1.
August 10 Reissues 2,500 shares of treasury stock purchased on May 31 for $48 per share.
Taking into consideration all the entries described above, prepare the statement of stockholders' equity for the year ended December 31, 2012.
Total stockholders’ equity 7,800,000
Statement of stockholders’ equity for CC for the year ended December 31, 2012:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000
Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
Total stockholders’ equity 7,800,000
Explanation:The given information is as follows:Common Stock on January 1, 2012 = $100,000Additional Paid-in Capital on January 1, 2012 = $4,100,000
Retained Earnings on January 1, 2012 = $3,000,000Net Income for the year ended December 31, 2012 = $800,000Cash Dividend Declared on July 1 and paid on July 31 = $200,000
To prepare the statement of stockholders’ equity for the year ended December 31, 2012, we will begin by preparing the opening balances of each of the equity accounts. We will then add the net income to the retained earnings account.
The closing balance for retained earnings is then computed by subtracting the cash dividend declared and paid from the total retained earnings. Finally, the total stockholders' equity is calculated by adding the balances of all the equity accounts.
Calculations:Opening balance of common stock = $100,000
Opening balance of additional paid-in capital = $4,100,000
Opening balance of retained earnings = $3,000,000
Net Income for the year ended December 31, 2012 = $800,000
Retained earnings (Opening Balance) = $3,000,000
Add: Net Income for the year ended December 31, 2012 = $800,000
Total retained earnings = $3,800,000Less: Cash Dividend Declared on July 1 and paid on July 31 = $200,000Retained earnings (Closing balance) = $3,600,000
Total stockholders’ equity = Common Stock + Additional Paid-in Capital + Retained Earnings (Closing balance) = $100,000 + $4,100,000 + $3,600,000 = $7,800,000
Therefore, the statement of stockholders’ equity for CC for the year ended December 31, 2012, is as follows:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000
Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
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Find a1 if d = -2 and a21 = 18.
The answer is either 58 or 60
For the given values of the arithmetic sequence d = -2 , a₂₁ = 18,then the value of a₁ = 58.
As given in the question,
Given values of the arithmetic sequence :
Common difference 'd' = -2
Twenty first term a₂₁ = 18
Formula for the nth term of arithmetic sequence with common difference 'd' and first term a₁ is given by:
aₙ = a₁ + (n -1) d
Substitute the value n =21 , a₂₁ =18 and d = -2 in the above equation we get,
⇒a₂₁ = a₁ + (21 -1)(-2)
⇒18 = a₁ + 20(-2)
⇒ a₁ = 18 +40
⇒a₁ = 58
Therefore, for the given values of the arithmetic sequence d = -2 ,
a₂₁ = 18,then the value of a₁ = 58.
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Please help me with this question :(
Answer:
Slope is -2.
Step-by-step explanation:
Slope m = \(\frac{-1 - 7}{3 - -1}=\frac{-8}{4}=-2\)
find the value of each variable using the given chord secant or tangent lengths
X:
Y:
(type integers or decimals, rounded to the nearest 10th as needed.)
According to the figure the value of x and y are
x = 25.4
y = 12.3
How to find the parametersUsing intersecting secant theorem we have that
Solving for x
8 * (8 + 11) = 5 * ( 5 + x)
8 * (19) = 25 + 5x
152 = 25 + 5x
152 - 25 = 5x
5x = 127
x = 25.4
Solving for y (secant and tangent)
8 * (8 + 11) = y^2
y^2 = 152
y = sqrt (152)
y = 12.3
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what's the total price paid on a softball bat that costs $129.95 with a sales tax rate of 6.5%
Answer:
about $84.47
Step-by-step explanation:
6.5%=0.65
129.95x0.65=84.4675
=84.47
how do you write 5.81 as a fraction?
Answer:
5 81/100
Step-by-step explanation:
Answer:
5.81 in fraction form is 581/100.
Step-by-step explanation:
Step 1:Address input parameters & values.
Input parameters & values: The decimal number = 5.81
Step 2:Write it as a fraction
5.81/1
Step 3:Multiply 100 to both numerator & denominator
(5.81 x 100)/(1 x 100) = 581/100
It can be written as 581% = 581/100 or 581/100
Step 4:To simplify 581/100 to its lowest terms, find LCM (Least Common Multiple) for 581 & 100.
1 is the LCM for 581 & 100
Step 5:As LCM is 1, the fraction can't be factorized further
581/100 is a simplest fraction for the decimal point number 5.81What is tan K?
please show your work
Use a formula from geometry to solve for the unknown quantity. The length of a rectangle is 8feet longer than the width. If the perimeter is 96 feet, find the length and width of the rectangle.
The width of the rectangle is
The length of the rectangle is
The width of the rectangle is: 20 ft
The length of the rectangle is: 28 feet
How to solve Algebra Word Problems?Algebraic word problems are problems that require you to convert a sentence into an equation and solve that equation. The equations that need to be written contain only basic arithmetic. and a single variable. In a real-life scenario, variables usually represent unknown quantities.
The formula for the Perimeter of a rectangle is:
Perimeter = 2(Length + Width)
We are told that the length of a rectangle is 8feet longer than the width. Thus:
Length = w + 8
Thus:
2(w + 8 + w) = 96
2(2w + 8) = 96
2w + 8 = 48
2w = 40
w = 20 feet
Length = 28 feet
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a researcher has collected the following sample data. 7 14 8 10 7 8 9 7 14 6 the 75th percentile is . a. 7 b. 11 c. 6 d. 9
Third quartile Q₃ of the given data is 11
correct option is: b
What is the 75th percentile value?
0.675
For instance, the median represents the 50th percentile, the first quartile represents the 25th percentile, and the third quartile represents the 75th percentile.
What exactly is Q3?
Q3, the third quartile, is known as the 'upper quartile,' and represents the 75th percentile, which means that only 25% of the values in the set are greater than this value.
given data:
7,14,8,10,7,8,9,7,14,6.
In ascending, order data is 6,7,7,7,8,8,9,10,14,14.
number of terms N = 10
therefore, third quartile Q₃ = \(\frac{3}{4} (n + 1)\)
Q₃ = \(\frac{3}{4} (10 + 1)\)
Q₃ = 8.25th term
Q₃ = 8th term + 0.25 = 11
therefore, therefore, third quartile Q₃ of the given data is 10
correct option is: b
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