Answer: The median decreases to
Step-by-step explanation: The median without the added 60 degrees is 79.5, which I double checked using a calculator after using the MEAN formulas. All I had to do was then add 60 to the data set and run the calculator again, and it then changed to 77.
Help with this ASP I’ll give best awards for revision I’m stuck
It’s substitution
Answer:
P= 3w + D; d=p−3
I will solve the second part rn
adriannas bedroom has a perimiter of 90 feet the width is 15 feet what is the length of her bedroom?
The length of Adrianna's bedroom that has a perimeter of 90 feet and a width of 15 feet is 30 feet.
To find the length of Adrianna's bedroom, we can use the formula for the perimeter of a rectangle:
P = 2l + 2w
where P is the perimeter, l is the length, and w is the width.
We are given that the perimeter is 90 feet and the width is 15 feet, so we can substitute those values into the formula:
90 = 2l + 2(15)
Simplifying:
90 = 2l + 30
Subtracting 30 from both sides:
60 = 2l
Dividing both sides by 2:
30 = l
Therefore, the length of Adrianna's bedroom is 30 feet.
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help asapppp porfas
Answer:
a
Step-by-step explanation:
9/35=0.275
What is the y-coordinate for the solution to the system of equations?
{6x−3y=−72x+3y=−9
The y-coordinate for the solution to the system of equations is 3.545.
What is meant by a system of equations?
A group of equations comprising one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations intersect, are the solutions of systems of equations.
Given a system of equations.
6x - 3y = -9
-72x + 3y = -9
We can solve this system of equations by removing a variable.
To do this, first, we have to make the coefficient of the variable we wish to remove, the same.
Let us take the x variable.
Multiply the first equation by 12.
72x - 36y = - 108
-72x + 3y = -9
Now add these equations.
-33y = -117
y = 3.545
Now x can be found by substituting y in any one of the equations.
6x - 3 * 3.545 = -9
6x = -9 + 10.635
6x = 1.635
x = 0.273
Therefore the y-coordinate for the solution to the system of equations is 3.545.
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A local health club has a large swimming pool non member must pay a 6$ per day fee to use the pool member of the club pay 1$ but must pay a yearly membership fee of 250 how many days must you use the pool to justify joining the club
Answer:
50 days
Step-by-step explanation:
Step one:'
given data
Non member must pay a 6$ per day
let number of days be x
cost = 6x
member of the club pay 1$ but must pay a yearly membership fee of 250
cost = 250+x
Step two
equate the two expression to find x
6x=250+x
6x-x= 250
5x=250
divide both sides by 5
x= 250/5
x=50 days
How many different sets of initials can be formed if every person has one surname (i.e., last name) and either one or two given names (i.e., a first name, or a first and middle name).
The different sets of initials can be formed if every person has one surname (i.e., last name) and either one or two given names (i.e., a first name, or a first and middle name) is 15600.
There are 26 possible letters, each set of initials would have 3 letters in it, order doesn't matter, i.e. ABC does not equal ACB. using permutation 26P3 = 5600.
A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters. Common mathematical problems involve choosing only several items from a set of items in a certain order.
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Pls help me,this is Canadian MO 1998 question,i'm very confuse with this
The solution to the equation is x = 1.62
How to solve the equation?The equation is given as:
\(x =\sqrt{x\ -\ \frac{1}{x}}+\sqrt{1-\ \frac{1}{x}}\)
Next, we split the equations as follows:
y = x
\(y =\sqrt{x\ -\ \frac{1}{x}}+\sqrt{1-\ \frac{1}{x}}\)
Next, we graph the equations (see attachment)
From the attached graph, the equations intersect at
(x, y)= (1.62, 1.62)
Remove the y value
x = 1.62
Hence, the solution to the equation is x = 1.62
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Rationalize the right side first. Expand and simplify.
\(x = \sqrt{x - \dfrac1x} + \sqrt{1 - \dfrac1x}\)
\(x \left(\sqrt{x - \dfrac1x} - \sqrt{1 - \dfrac1x}\right) = \left(\sqrt{x - \dfrac1x} + \sqrt{1 - \dfrac1x}\right) \left(\sqrt{x - \dfrac1x} - \sqrt{1 - \dfrac1x}\right)\)
\(x \left(\sqrt{x - \dfrac1x} - \sqrt{1 - \dfrac1x}\right) = \left(\sqrt{x - \dfrac1x}\right)^2 - \left(\sqrt{1 - \dfrac1x}\right)^2\)
\(x \left(\sqrt{x - \dfrac1x} - \sqrt{1 - \dfrac1x}\right) = \left(x - \dfrac1x\right) - \left(1 - \dfrac1x\right)\)
\(x \left(\sqrt{x - \dfrac1x} - \sqrt{1 - \dfrac1x}\right) = x - 1\)
Rearrange terms as
\(\dfrac{x - 1}x = \sqrt{x - \dfrac1x} - \sqrt{1 - \dfrac1x}\)
\(\dfrac{x - 1}x + \sqrt{\dfrac{x - 1}x} = \sqrt{x - \dfrac1x}\)
Substitute
\(y = \sqrt{\dfrac{x-1}x} = \sqrt{1 - \dfrac1x} \\\\ \implies y^2 = 1 - \dfrac1x \implies x = \dfrac1{1-y^2}\)
(noting that \(y>0\)) so that
\(x - \dfrac1x = \dfrac1{1-y^2} - (1-y^2) = \dfrac{2y^2 - y^4}{1-y^2}\)
and the equation transforms to
\(y^2 + y = \sqrt{\dfrac{2y^2 - y^4}{1-y^2}}\)
\(y + 1 = \sqrt{\dfrac{2 - y^2}{1-y^2}}\)
Solve for \(y\).
\((y+1)^2 = \left(\sqrt{\dfrac{2-y^2}{1-y^2}}\right)^2\)
\(y^2 + 2y + 1 = \dfrac{2 - y^2}{1 - y^2}\)
\(-y^4 - 2y^3 + 2y + 1 = 2 - y^2\)
\(y^4 + 2y^3 - y^2 - 2y + 1 = 0\)
\(\left(y^4 + 2y^3 + y^2\right) - 2y^2 - 2y + 1 = 0\)
\((y^2 + y)^2 - 2(y^2 + y) + 1 = 0\)
\(\left(y^2 + y - 1\right)^2 = 0\)
\(y^2 + y - 1 = 0\)
\(y = \dfrac{-1 \pm \sqrt5}2\)
Since \(y>0\), we take the positive root. Then
\(y = \sqrt{\dfrac{x-1}x} = \dfrac{-1 + \sqrt5}2\)
Solve for \(x\).
\(\left(\sqrt{\dfrac{x-1}x}\right)^2 = \left(\dfrac{-1 + \sqrt5}2\right)^2\)
\(\dfrac{x-1}x = \dfrac{6 - 2\sqrt5}4 = \dfrac{3 - \sqrt5}2\)
\(x - 1 = \dfrac{3-\sqrt5}2x\)
\(\dfrac{-1+\sqrt5}2 x = 1\)
\(x = \dfrac2{-1+\sqrt5}\)
Rationalize to clean up the answer.
\(x = \dfrac2{-1+\sqrt5}\cdot\dfrac{-1-\sqrt5}{-1-\sqrt5} = \boxed{\dfrac{1+\sqrt5}2} \approx 1.6108\)
i.e. the golden ratio constant.
A solid box with height 60cm, width 10cm and length 10cm needs to be painted.
The paint costs £0.17 per cm2.
How much will it cost to paint the outside of the box?
Answer:
£442
Step-by-step explanation:
see vid on how to calculate cm² of a box here
Answer:
17cm²
Step-by-step explanation:
area of box =l×w
10cm×10cm=100cm²
0.17×100cm²=17cm²
Determine whether each side with given lengths is a right triangle.
A. a=5, b=10 and c=15
B. a=11, b=60 and c=61
Answer:
61
Step-by-step explanation:
lenths is a right anglre
to make biscuits of a certain ki d 5 parts of flour has to be mixed with 2 parts of oatmeal and 1 part of cocoa powder must be used if 500g of flower is used?
Answer:
200
Step-by-step explanation:
Based on the given conditions, formulate: 500x2 ÷5
Calculate the product or quotient: 100/5
Cross out the common factor: 200
Have a nice day! :D
here's another math question for y'all
Answer:65
Step-by-step explanation:
Answer:
65
Step-by-step explanation:
Hey There!
So where the given angles are is in a triangle called an isosceles triangle
In isosceles triangles to of the angles are congruent
The congruent angles are near the letters Q and R
we are given that angle 1 =50
so to find the missing angles we subtract 180 from 50 and divide by 2
180-50=130
130/2=65
so angle 2 = 65
Pls help asap NOWWWWW
Apply BPT theorem or Thales theorem
LM^2=KM×MNSo
∆KLM~∆LMNAnd
∆KLM~∆KLNOption A
the area of the circle is 12.56 yd^2. what is the radius of the circle
Hi!
The formula for radius of a circle is \(\sqrt{\frac{a}{\pi } }\)
For this, we will use 3.14 as pi.
12.56 / 3.14 = 4
Now take the square root and we get
2
Hope this helps! :D
Emma works 8 hours a day, 6 days a week.
She is paid £9.50 an hour.
She shares her wages with her sister Joy in the ratio Emma : Joy = 3:1
Emma is saving all of her share to buy a cruise holiday.
How many weeks will it take her to afford a £4 104 cruise holiday?
You must show your working.
Answer:
djdjdjdjdhdhdhdhdhdh
£5:50
The length of a rectangle is 5 m less than twice the width, and the area of the rectangle is 52m ^ 2 . Find the dimensions of the rectangle.
The dimension of the rectangle is 8m by 6.5m respectively
Area of a rectangleThe formula for calculating the area of a rectangle is expressed as;
A =lw
If the length of a rectangle is 5 m less than twice the width, then;
l = 2w - 5
Substitute
A = w(2w-5)
52 = 2w² - 5w
2w² - 5w = 52
2w² - 5w - 52 = 0
(2w−13)(w+4)=0
Step 2: Set factors equal to 0.
2w−13=0 or w+4=0
w =13/2 or 6.5m
Determine the length
l = 2w - 5
l = 2(6.5) - 5
l = 13 - 5
l =8m
Hence the dimension of the rectangle is 8m by 6.5m respectively
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helpppppppppppppppppppppppp WILL MARK BRAINLIST
A bake shop sells twenty different kinds of pastries. Twelve of them were chocolate. Zack randomly buys eight kinds of pastries. What is the chance that four of them will be chocolate
Answer:
Just look at the other answer
Step-by-step explanation:
Consider a variant of the hamburger and figs example from class. Rachel has $50 in income, the price per hamburger is $3 and the price per bag of figs is $2. a) Write out an expression for Rachel's budget line. Sketch a graph, with hamburgers on the x axis. b) Suppose the price of figs increases to $3. Write out the new budget line equation and illustrate in your graph. c) Suppose income is $50, the price per hamburger is $3 and the price per bag of figs is $3. Rachel also receives $10 in cash from a friend. Write out a new budget line equation and illustrate in a graph. d) Suppose income is $50, the price per hamburger is $3 and the price per bag of figs is $3. Instead of cash, Rachel's friend gives her a gift basket containing 3 free bags of figs. Sketch Rachel's new budget line? Has the slope of the budget line changed? Can you write out a new budget line equation?
a. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis. b. the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.
a) Rachel's budget line equation can be written as follows:
Budget = (Price of Hamburger * Quantity of Hamburgers) + (Price of Figs * Quantity of Figs)
Since the price per hamburger is $3 and the price per bag of figs is $2, the equation becomes:
Budget = 3x + 2y
Where x represents the quantity of hamburgers and y represents the quantity of bags of figs. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis.
b) If the price of figs increases to $3, the new budget line equation becomes:
Budget = 3x + 3y
The graph of the new budget line would show a steeper slope compared to the original budget line. This indicates that the relative price of figs has increased, making them relatively more expensive compared to hamburgers.
c) In this scenario, Rachel has an income of $50, the price per hamburger is $3, the price per bag of figs is $3, and she receives an additional $10 in cash from a friend. The new budget line equation can be written as:
Budget = (3x + 3y) + 10
The graph of the new budget line would shift upward parallel to the original budget line. The additional cash from Rachel's friend increases her purchasing power, allowing her to afford more hamburgers and/or bags of figs.
d) Now, Rachel's friend gives her a gift basket containing 3 free bags of figs. In this case, the budget line equation remains the same as in part c:
Budget = (3x + 3y) + 10
However, since Rachel receives 3 free bags of figs, she can allocate more of her budget towards purchasing hamburgers. This would cause the budget line to rotate outward from the y-intercept, resulting in a flatter slope. The new budget line would reflect Rachel's ability to purchase more hamburgers with the same income and price of figs.
In summary, the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.
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Martha's salary is $52,000 this year, and increases by 8% each year. She pays 17.5% of her salary in taxes. What will be Martha's net pay NEXT year?
Answer:
Martha's net pay next year is $46,332.
Step-by-step explanation:
First, you have to calculate the increase by multiplying the salary for 8% and adding the result to the salary:
$52,000*8%= $4,160
$52,000+$4,160= $56,160
Now, in order to find the net pay next year, you have to calculate the tax by multiplying the salary for the tax percentage and subtracting that from the salary:
$56,160*17.5%= $9,828
$56,160-$9,828= $46,332
According to this, the answer is that Martha's net pay next year is $46,332.
what is the slope of the line ?
Answer:
rise +3 run -1
Step-by-step explanation:
3/-1 i think
Is the function in this table linear or nonlinear and why?
Using the graph below, what would the y-value (range) be for an x-value (domain) of -3?
Answer: The domain is the set of all possible x-values in the graph and the range is the set of all possible y-values in the graph. Incorrect. To determine the range, identify the set of all possible y-values in the graph. The minimum y-value on this graph is 4.
any more help just ask:)
Answer: The answer is -9.
Step-by-step explanation: I took the quiz. Hope this helps!
A parking ticket in Baltimore charges $5.50 for the first hour and 1.75 for every hour after that how much will it cost to park for three hours?
Answer:
$9.00
Step-by-step explanation:
1.75 x 2 = 3.5+5.5= 9
What is the slope of the line in this graph?
Answer:
The slope of the line is 7/5.
Step-by-step explanation:
To find the slope, first, find two points. On this line, two points are 0,0 and 7,5. Using the slope formula, we get 7-0/5-0. This gives 7/5, and that's the slope.
Hope this helps!
Please give brainliest
Write the linear equation that gives the rule for this table.
x y
1 10
2 5
3 0
4 –5
Write your answer as an equation with y first, followed by an equal's sign.
The linear equation that gives the rule for this table is y = -5x + 15
How to determine the linear equation?The table of values is given as:
x y
1 10
2 5
3 0
4 –5
On the above table, we can see that:
As x increases by 1, the value of y decreases by 5
This means that the slope is
Slope = -5
Also, the above table can be modified as follows (using the slope of -5)
x y
0 15
1 10
2 5
3 0
4 –5
This means that the y-intercept is
y-intercept = 15
A linear equation is represented as
y = slope * x + y-intercept
So, we have
y = -5x + 15
So, the equarion is y = -5x + 15
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Solve the triangle with the law of sines
Answer:
AC = 12.6
AB = 49.8
C = 73°
Step-by-step explanation:
(B/sin(14)) = (52/sin(93))
B = (52*sin(14))/sin(93)
B = 12.6
(C/sin(73)) = (52/sin(93))
C = (52*sin(73))/sin(93)
C = 49.8
Decide if the answer to 8/7 x 12 is less than, greater than, or equal to 12.
A. equal to
B. less than
C. greater than
Answer:
Option C.
Step-by-step explanation:
Answer:
C. greater than
Step-by-step explanation:
Since 8/7 is greater than 1
multiply it by 12 will result in a larger number.
13. For a given set of data, what does the standard deviation measure?
The difference between the mean and the data point farthest from the mean
The difference between the mean and the data point nearest to the mean
The difference between the mean and the median
None of the above
Source
The standard deviation measures the spread of data points around the mean. It considers all data points, not just the farthest or nearest ones. A higher standard deviation indicates a greater spread.
The standard deviation is a statistical measure that tells us how much the data points in a set vary from the mean. It provides information about the spread or dispersion of the data. To calculate the standard deviation, we take the square root of the variance, which is the average of the squared differences between each data point and the mean.
By considering all data points, the standard deviation provides a comprehensive measure of how spread out the data is. Therefore, the statement "The difference between the mean and the data point farthest from the mean" is incorrect, as the standard deviation does not focus on just one data point.
The statement "The difference between the mean and the data point nearest to the mean" is also incorrect because the standard deviation takes into account the entire data set. The statement "The difference between the mean and the median" is incorrect as well, as the standard deviation is not specifically related to the median.
Hence, the correct answer is "None of the above."
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Which box plot has the smallest interquartile range?
The box plot that has the smallest interquartile range is Box Plot D.
Option D is the correct answer.
We have,
A.
First quartile = 2
Third quartile = 7
Interquartile range.
= 7 - 2
= 5
B.
First quartile = 4
Third quartile = 9
Interquartile range.
= 9 - 4
= 5
C.
First quartile = 3
Third quartile = 8
Interquartile range.
= 8 - 3
= 5
D.
First quartile = 4
Third quartile = 8
Interquartile range.
= 8 - 4
= 4
Thus,
The box plot that has the smallest interquartile range is Box Plot D.
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PLS ANSWER
Which data set shows a nonlinear association?
From the dataset given, the set that shows a nonlinear association is the third data set.
Why is the dataset considered nonlinear?For a dataset to be considered linear, the change in y as a result of a change in x needs to be constant.
For instance, if the dataset starts off by y and x increasing by 2, then all the values of y should increase by 2 for corresponding values of x.
In the third dataset, the value of y does not increase at a constant rate. It started off by increasing by 2 but didn't increase by 2 for x values 3 and 4. It then increased by 4 when it got to x value 8. It is nonlinear.
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