Answer:
4, 14, 14, 16
Step-by-step explanation:
Key skills needed: Casework, Mean, Median, and Mode
1) We start with 4 numbers _ _ _ _
2) We can determine two of the numbers by using the fact that the median is 14 and the mode is 14.
3) The numbers would have to be:
_ 14 14 _ _ 14 14 14The 2nd one does not work because the last number would have to be a 6 to have a mean of 12, but the range would not be 12.
4) So, our numbers are _ 14 14 _
5) The two numbers add up to 20 (in order to have a mean of 12. If you subtract the bigger one by the smaller one, it will be 12.
6) We can make a system: saying x is the bigger number and y is the smaller number.
x + y = 20
x - y = 12
Add both and you will get 2x = 32 (since the y values cancel out).
7) divide by on both sides, and x = 16.
8) To find y, we can plug x back in to one equation:
16 + y = 20
y = 4
Our smaller number is 4 and our bigger number is 16.
9) Therefore the numbers are: 4, 14, 14, 16
Hope you understood and have a nice day!! :D
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
(0.0)
(4.3)
Martha is looking into investing a portion of her recent bonus into the stock market. While researching different companies, she discovers the following standard deviations of one year of daily stock closing prices.
Eye Remember Enterprises:
Standard deviation of stock prices
= $1.25 = $1.25
The Azure Travel Company:
Standard deviation of stock prices
= $9.73 = $9.73
Based on the data and assuming these trends continue, which company would give Martha a stable long-term investment?
A. The Azure Travel Company; the larger standard deviation indicates that The Azure Travel Company has less variability in its closing prices than Eye Remember Enterprises.
B. Eye Remember Enterprises; the smaller standard deviation indicates that Eye Remember Enterprises has less variability in its closing prices than The Azure Travel Company.
C. Eye Remember Enterprises; the smaller standard deviation indicates that Eye Remember Enterprises has a greater mean closing price than The Azure Travel Company.
D. The Azure Travel Company; the larger standard deviation indicates that The Azure Travel Company has a greater mean closing price than Eye Remember Enterprises.
Answer:
Based on the data and assuming these trends continue, the company that would give Martha a stable long-term investment is:
B. Eye Remember Enterprises; the smaller standard deviation indicates that Eye Remember Enterprises has less variability in its closing prices than The Azure Travel Company.
Step-by-step explanation:
The result shows that the greater the standard deviation of the stock price of the Azure Travel Company than that of Eye Remember Enterprises, the greater the variance between each stock's price and their mean closing prices. This implies a larger price range in the stock of the Azure Travel Company than it is the case with the Eye Remember Enterprises. It is noteworthy that a volatile stock has a high standard deviation, while the standard deviation of a stable blue chip stock is usually rather low.
Estimate the sum
776+348
- Using rounding to the most significant digit
-Using Compatible Numbers
Answer:
Step-by-step explanation: the answer is 1130
What is 20 multiplied by 13/17
Answer:
[tex]15 \frac{5}{17}[/tex]
or
[tex]\frac{260}{17}[/tex]
Answer:
[tex]15\frac{5}{17}[/tex] or [tex]\frac{260}{17}[/tex]
Step-by-step explanation:
[tex]\frac{20}{1} times \frac{13}{17} = \frac{260}{17} = 15\frac{5}{17}[/tex]
Find the value for x and y for the triangle. Show work.
Answer:x= 8/√3, y= 16/ √3
Step-by-step explanation:
See the picture below
I need help plz help
Select the expression that is equivalent to
—2 (5 + 7g)
-2 – 14g
-10 – 149
79 - 10
-10 + 7g
Answer:
-10 - 14g
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Step-by-step explanation:
Step 1: Define
-2(5 + 7g)
Step 2: Expand
Distribute -2: -2(5) + -2(7g)Multiply: -10 - 14g12. Simplify:
5x + 3y - 2y + 3xy + 5xy - 10x
Hey there!
[tex]\textsf{5x + 3y - 2y + 3xy + 5xy - 10x}[/tex]
[tex]\textsf{Combine like terms}[/tex]
[tex]\textsf{(5x - 10x) + (3y - 2y) + (3xy + 5xy)}\\\mathsf{5x - 10x = -5x}\\\mathsf{3y - 2y = 1y}\\\mathsf{3xy + 5xy= 8xy}\\\boxed{\boxed{\mathsf{Answer: \bf{8xy-5x+y}}}}\huge\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
The function L 200P+3 models the total number of lives L a player is given in a video game after scoring p points. The video game just
gave Linda a fifth life. Which equation could be used to find the total number of points Linda scored in order to earn her fifth life? (1 point)
Answer:
P = 200L - 600
Step-by-step explanation:
Compote table please help me please?
The coordinates of the vertices of △XYZ are X(−5, 5), Y(−3, −2), and Z(4, 0). The slope of XZ is __, the slope of YZ is __, and the slope of XY is __. △XYZ __ a right triangle because ____________.
-7/2 -5/9 -2/7 2/7 9/5 is is not no two of these slopes have a product of -1 two of these problems have a product of -1
Answer:
Slope of XZ = -5/9
Slope of YZ = 2/7
Slope of XY = -7/2
Step-by-step explanation:
Slope is expressed as;
m = y2-y1/x2-x1
For XZ
X(−5, 5), and Z(4, 0)
Slope of XZ = 0-5/4-(-5)
Slope of XZ = -5/4+5
Slope of XZ = -5/9
For YZ
Y(−3, −2), and Z(4, 0).
Slope of YZ = 0-(-2)/4-(-3)
Slope of YZ = 2/4+3
Slope of YZ = 2/7
For XY
X(−5, 5), Y(−3, −2)
Slope of XY = -2-5/-3-(-5)
Slope of XY = -7/-3+5
Slope of XY = -7/2
For two lines to be perpendicular, the product of their slope must be -1
Taking the product of XY and YZ
mXY * mYZ = -7/2 * 2/7
mXY * mYZ = -1
since the product of mXY and mYZ is -1. this shows that line XY is perpendicular to YZ and showing that the triangle XYZ is right triangle
Make the following statement an equations (3,-3) m=3
Answer:
We conclude that the line of equation containing the point (3, -3) with the slope m =3 will be:
[tex]y=3x-12[/tex]The graph of the line is also attached.
Step-by-step explanation:
Given
The point (3,-3)The slope m = 3Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line (x₁, y₁) is the pointsubstituting the values m = 3 and the point (x₁, y₁) = (3,-3)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-3\right)=3\left(x-3\right)[/tex]
Apply rule: -(-a) = a
[tex]y+3=3\left(x-3\right)[/tex]
subtract 3 from both sides
[tex]y+3-3=3\left(x-3\right)-3[/tex]
simplify
[tex]y=3x-12[/tex]
Therefore, we conclude that the line of equation containing the point (3, -3) with the slope m =3 will be:
[tex]y=3x-12[/tex]The graph of the line is also attached.
What is the value of 2.7 x 4.1?
Answer:
11.07
Step-by-step explanation:
2.7
x4.1
=11.07
Answer:
11.07
Step-by-step explanation:
Harris runs 12 miles in 2 hours at a steady pace. At this same pace, how far can he run in 45 minutes?
Answer:
4,5 miles
Step-by-step explanation:
60*2=120
120/12=10
1 mile every 10 minutes
45/10=4,5
What is the solution for the equation? a+8/3 = 2/3
1. a= -10/3
2. a= -2
3. a=2
4. a=10/3
Answer:
The answer is 2)a=−2
Help me please! I don’t understand! I’ll give you brainly!
Answer:
trinomial , degree 5
Step-by-step explanation:
9y^5 + y - 3y^3
Writing the polynomial in standard form (from biggest power to smallest)
9y^5 - 3y^3+ y
This has 3 terms so it is a trinomial
The highest power is 5 so it has degree 5
11. An experiment is set up to study the weights of 45 frogs after they are given a hormone treatment. The population mean is 22.70 grams with a standard deviation of 2.96 grams.
What is the standard error of the sample mean? Round your answer to the nearest hundredth.
The standard error of the sample mean is approximately (? ).
Answer: The standard error of the sample mean = 0.44
Step-by-step explanation:
Standard error of the sample mean = [tex]\dfrac{\sigma}{\sqrt{n}}[/tex] , where [tex]\sigma[/tex] = population standard deviation , n= sample size.
Given : n= 45 , [tex]\sigma= 2.96[/tex] grams
The e standard error of the sample mean [tex]=\dfrac{2.96}{\sqrt{45}}[/tex]
[tex]=\dfrac{2.96}{6.7082039325}\\\\\approx\ 0.44[/tex]
Hence, the standard error of the sample mean = 0.44
write each ratio in simplest form
12
_
16
12 divide 16
Answer:
Step-by-step explanation:
divide each number by 4
12/16
12/4 = 3
16/4 = 4
3/4
hope this helps <3
The purple shape is a dilation of the black shape. What is the scale factor of the dilation
Answer:
Scale factor = 1/2
Explanation:
The purple shape is a dilation of the black shape.
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.
Now findd the scale factor.
If given two shapes and need to find the scale factor, We must know which one was the original and which one is the image or the new shape. Then we need to know the length of corresponding sides and set them up in a ratio
Answer:Scale factor = 1/2
The purple shape is a dilation of the black shape.
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.
Now findd the scale factor.
If given two shapes and need to find the scale factor, We must know which one was the original and which one is the image or the new shape. Then we need to know the length of corresponding sides and set them up in a ratio like so: Scale Factor = purple/black
Scale factor = 10/20 = 1/2
I need the simplified expression for this please
Step-by-step explanation:
2/3x-8/3
hope it helps
Help please! This is due in 3 minutes!
Answer:
b. x=26
Step-by-step explanation:
x+3x-14+90=180(Being angles of a triangle)
4x+76=180
4x=180-76
x=104/4
Therefore ,x=26
oscar scored a 45/50 on his most recent test what percent of the problems did oscar get correct?
Answer:
Hi
The answer is 90%
Step-by-step explanation:
45/50 x 100=90
Percent of problems scored by Oscar is [tex]\boldsymbol{ 90\%}[/tex]
Define percentage.A percentage is a figure or ratio that is stated as a percentage of one hundred. The percent symbol, "[tex]\boldsymbol{\%}[/tex] ," is frequently then used represent it.
Score of Oscar in a test [tex]=\frac{45}{50}[/tex]
Therefore,
Percent of problems scored by Oscar [tex]=\boldsymbol{\frac{45}{50}\times 100 }[/tex]
[tex]=\boldsymbol{ 90\%}[/tex]
Find out more information about percentage here:
https://brainly.com/question/13450942?referrer=searchResults
Helpp picture above I will mark
Answer:
I believe the answer is 45
Step-by-step explanation:
First do the parentheses: 12-2=10
Then do the exponent: 3^2=3*3=9
Next multiply 9 by 10: 9*10=90
Lastly divide 90 by 2: 90/2=45
Answer:
135
Step-by-step explanation:
(33)(12−2) /2 =
27(12−2) /2 =
(27)(10) /2 =
270 /2
=135
What are the slope and the y-intercept of the linear function that is represented by the table?
-1
у
3
2
1
2
0
0
اني انا
3
1
2
Answer:
[tex]m = -\frac{2}{5}[/tex] ---- slope
[tex]y = -\frac{1}{3}[/tex] --- y intercept
Step-by-step explanation:
Given
The attached table
Required
Calculate the slope and y intercept
First, we need to calculate the slope
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
From the table, the following relationships exist:
[tex](x_1,y_1) = (-\frac{3}{4},-\frac{1}{30})[/tex]
[tex](x_2,y_2) = (\frac{1}{4},-\frac{13}{30})[/tex]
So, the expression for calculating slope becomes:
[tex]m = [-\frac{13}{30} - (-\frac{1}{30})] / [\frac{1}{4} - (-\frac{3}{4})][/tex]
[tex]m = [-\frac{13}{30} +\frac{1}{30}] / [\frac{1}{4} +\frac{3}{4}][/tex]
Take LCM
[tex]m = [\frac{-13+1}{30}] / [\frac{1+3}{4}][/tex]
[tex]m = [\frac{-12}{30}] / [\frac{4}{4}][/tex]
[tex]m = [\frac{-12}{30}] / 1[/tex]
[tex]m = \frac{-12}{30}[/tex]
[tex]m = \frac{-2}{5}[/tex]
[tex]m = -\frac{2}{5}[/tex]
To calculate the y intercept:
x must be 0. i.e.
[tex]x = 0[/tex]
So, we have:
[tex](x_1,y_1) = (-\frac{3}{4},-\frac{1}{30})[/tex]
[tex](x_2,y_2) = (0,y)[/tex]
[tex]m = -\frac{2}{5}[/tex]
Substitute these values in:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]-\frac{2}{5} = [y - (-\frac{1}{30})] / [0- (-\frac{3}{4})][/tex]
[tex]-\frac{2}{5} = [y +\frac{1}{30}] / [0+\frac{3}{4}][/tex]
[tex]-\frac{2}{5} = [y +\frac{1}{30}] / [\frac{3}{4}][/tex]
Multiply through by 3/4
[tex]-\frac{2}{5}*\frac{3}{4} = y +\frac{1}{30}[/tex]
[tex]-\frac{6}{20} = y +\frac{1}{30}[/tex]
[tex]-\frac{3}{10} = y +\frac{1}{30}[/tex]
Collect Like Terms
[tex]y = -\frac{3}{10}-\frac{1}{30}[/tex]
[tex]y = \frac{-9-1}{30}[/tex]
[tex]y = \frac{-10}{30}[/tex]
[tex]y = \frac{-1}{3}[/tex]
[tex]y = -\frac{1}{3}[/tex]
A lemonade seller calculates that it costs $ to produce glass of lemonade and $ to produce glass of lemonade. Assume the relationship between the cost and the number of glass of lemonade produced is linear. What is the most reasonable estimate for producing glass of lemonade
Question:
A lemonade seller calculates that it costs $50 to produce 52 glass of lemonade and $110 to produce 127 glass of lemonade. Assume the relationship between the cost and the number of glass of lemonade produced is linear. What is the most reasonable estimate for producing 193 glass of lemonade?
Answer:
[tex](a).\ y = 0.8x + 8.4[/tex]
[tex](b).\ Estimate = \$163[/tex]
Step-by-step explanation:
Represent number of lemonade with x and the cost with y.
So:
[tex](x_1,y_1) = (52,50)[/tex]
[tex](x_2,y_2) = (127,110)[/tex]
Solving (a): The linear relationship between them.
First, calculate slope (m)
m = ∆y ÷ ∆x
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{110 - 50}{127 - 52}[/tex]
[tex]m = \frac{60}{75}[/tex]
[tex]m = 0.8[/tex]
The equation is then calculated as:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y - 50 = 0.8(x - 52)[/tex]
[tex]y - 50 = 0.8x - 41.6[/tex]
Make y the subject
[tex]y = 0.8x - 41.6 + 50[/tex]
[tex]y = 0.8x + 8.4[/tex]
Solving (b): Estimate of 193 lemonade
In (a), we have:
[tex]y = 0.8x + 8.4[/tex]
Substitute 193 for x
[tex]y = 0.8 * 193 + 8.4[/tex]
[tex]y = 154.4 + 8.4[/tex]
[tex]y = 162.8[/tex]
[tex]Estimate = \$163[/tex]
ill give the crown things plzz helpppp
Alison has 63 books on her bookshelf. If she plans on donating ⅓ of her books, how many will Alison have left on her bookshelf?
Answer:
42
Step-by-step explanation:
1st step: 63 divided by 3= 21
2nd step: 63- 21= 42
PLSSS HELP THANK U AND I’ll mark brainly and u get points
Answer:
4th option
Step-by-step explanation:
brainliest plsssss
3.1.PS-14
Question Help
Error Analysis A contractor purchases 5 dozen pairs of padded work gloves for $69.60. He
incorrectly calculates the unit price as $13.92 per pair for the expense report What is the correct unit
price? What is the error?
The correct unit price is $ per pair
Answer:
The correct unit price is $1.16 per pair.
The contractor calculated the unit price in terms of per dozen.
Step-by-step explanation:
Given that:
Cost of 5 dozen pairs = $69.60
Unit price per dozen = [tex]\frac{69.60}{5} =\$13.92[/tex]
Unit price means the price of one pair of padded work gloves, so we will convert dozens into unit.
1 dozen = 12 pairs
5 dozen = 60 pairs
Unit price = [tex]\frac{69.60}{60}[/tex]
Unit price = $1.16 per pair
Hence,
The correct unit price is $1.16 per pair.
The contractor calculated the unit price in terms of per dozen.
3x-4=23 solve the equation
Answer:
9
Step-by-step explanation:
first add 4
3x=27
divide 3
x=9
Answer:
= 9
Step-by-step explanation:
3 − 4 = 2 3
Add 4 to both sides of the equation:
3 − 4 + 4 = 2 3 + 4
Simplify:
3=27
Divide both sides of the equation by the same term:
3/3=27/3
Cancel terms that are in both the numerator and denominator:
=27/3
Divide the numbers:
x=9
Done!
1 Imagine you throw three hoops over these cones
Add together the number of each
cone you get a hoop on.
You have three throws a turn.
What different totals can you
make on each turn?
30
90
40
Answer:
10 different total we can make.
Step-by-step explanation:
Consider the provided information.
It is given that we have three hoops and three cones of numbers 30, 40 and 90.
We are assuming that if we throw a hoop, it always falls on a cone.
Then the different totals are shown below:
If all three hoops fall on the same cone.
1) 30+30+30=90
2) 40+40+40=120
3) 90+90+90=270
If two out of three hoops fall on the same cone.
4) 30+40+40=110
5) 30+90+90=210
6) 40+30+30=100
7) 40+90+90=220
8) 90+30+30=150
9) 90+40+40=170
If all the hoops fall on the different cone.
10) 30+40+90=160
Hence, 10 different total we can make.