well that's Economics not Mathematics
Round 4/15 to the nearest thousandth
Answer:
0.267
Step-by-step explanation:
4/15 as a decimal is 0.26 repeating so rounded to the nearest thousandth would be 0.267
Sally learnt how to fix boxes using nails from her father. 4 nails are needed to set up a box. Sally bought 692 nails and had 200 nails left after setting up some boxes. How many boxes did Sally set up?
Answer:
Step-by-step explanation:
Answer: 123 boxes
Step-by-step explanation:
Find how many nails she used.
692-200=492
she used 492 nails
we know that 4 nails are needed to set up a box
so we divide.
492/4=123
Sally set up 123 boxes
5• (4 • x ) simplified
Step-by-step explanation:
= 5 • ( 4• x )
= 5 ( 4x )
= 20x
[tex]...[/tex]
Type the correct answer in the box.
✔
b
b
In the figure, a square is inside another bigger square.
If a=4 units and b=3 units, the length of the diagonal of the outside square rounded to the nearest tenth is
Inside square rounded to the nearest tenth is
units.
units and the length of the diagonal of the
Answer:
5.7 and 4.2
Step-by-step explanation:
Outside diagonal = √a² + a² = √4² + 4² = 4√2
= 5.7
Inside diagonal = √b² + b² = √3² + 3² = 3√2
= 4.2
13. (a) In any triangle ABC, if C = 300,b= 4, a = 2 find A and B. [3] (b) If a = b = c and a,b,c are in G.P., show that x,y,z are in H.P. [2]
please, solve them
Step-by-step explanation:
oksosjaoqkqeand
[tex]66 \sqrt[3x9 \frac{ \sqrt[xx. \sqrt[36 \sqrt[3136(2 > kaki \: kwl{]{?} ]{?} ]{?} }{?} ]{?} [/tex]
Question 5(Multiple Choice Worth 2 points)
(02.04 MC)
For the function f(x) = 3(x - 1)² + 2, identify the vertex, domain, and range.
Answer:
For the function f(x) = 3(x − 1)2 + 2, identify the vertex, domain, and range
Step-by-step explanation:
The vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2.
The vertex is (1, 2), the domain is all real numbers, and the range is y ≤ 2.
The vertex is (–1, 2), the domain is all real numbers, and the range is y ≥ 2.
Answer:
see explanation
Step-by-step explanation:
the equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
f(x) = 3(x - 1)² + 2 ← is in vertex form
with vertex = (1, 2 )
The domain of a parabola exists for all real values of x
domain : x ∈ R
the range of the parabola are the values of y from the y- coordinate of the vertex, upwards.
range : y ≥ 2
What is the range of the function on the graph?
Answer:
2
Step-by-step explanation:
because (x,y)=(1,2)
Therefore, domine(d)=(x)=1
And, range(r)=(y)=2
So the ans is 2
To increase sales, an online clothing store began giving a 50% off coupon to random customers. Customers didn't know whether they would receive the coupon until after the final sale. The website claimed that one in five customers received the coupon. Six customers each made purchases from the website. Let X = the number of customers that received the 50% off coupon.
To increase sales, an online clothing store began giving a 50% off coupon to random customers Six customers each made purchases from the website the binomial random variable and mean and standard deviation of X is mathematically given as
[tex]X ~ Bin(n = 6, p = 0.2)[/tex]
x= 0.9798
What is a binomial random variable?
Generally, the equation for is mathematically given as
P(coupon) = 1/5
P(coupon)= 0.2
the binomial distribution
[tex]X ~ Bin(n = 6, p = 0.2)[/tex]
Therefore, The mean and standard deviation of X
[tex]пВ = np \\np= 6* 0.2 = 1.2\\[/tex]
[tex]x=\sqrt{ np(1 - p)} \\ x=\sqrt{ 6 * 0.2 + (1 -0.2)} \\[/tex]
x= 0.9798
In conclusion, mean and standard deviation of X
x= 0.9798
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what’s the answer to this
Answer:
Step-by-step explanation:
(2,1) and (4,2) are on the line.
slope
[tex]=\frac{2-1}{4-2} =\frac{1}{2} \\[/tex]
eq. of line is
[tex]y-1=\frac{1}{2} (x-2)\\2y-2=x-2\\2y=x\\or \\x-2y=0\\[/tex]
in slope intercept form
[tex]y=\frac{1}{2} x[/tex]
Coach Sloan is responsible for recruiting male athletes to join the European
Masters track and field team. To improve his recruitment strategies, he wants to
investigate the connection between an athlete's height and 3000-meter run time.
Coach Sloan has recorded the heights of the men on the track and field team (in
centimeters), x, and their best 3000-meter times (in minutes), y.
The least squares regression line of this data set is:
y = -0.081x + 21.412
How quickly does this line predict a man who is 166 centimeters tall would run the 3000-
meters?
Round your answer to the nearest thousandth.
minutes
Using the line of best fit, it is found that the projected time for a man who is 166 cm tall is of 7.966 minutes.
What does the line of best fit gives?It gives the project time in minutes to run the 3000 meters for a men of a height of x centimeters, according to the following function:
y = -0.081x + 21.412.
Hence, for a men of 166 centimeters, x = 166 and the projected time in minutes is given as follows.
y = -0.081(166) + 21.412 = 7.966.
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NEED HELP QUICK DUE TMR MEAN AND MEDIAN
According to this factor tree, which of the following statements is true?
Answer:
option c
Step-by-step explanation:
a) NOT TRUE
A composite number is a positive integer that can be formed by multiplying two smaller positive integers.
3 and 7 are not composite numbers because each of them can only be divided by one and itself
b) NOT TRUE
2 is also a prime number so 3 and 7 are not the only numbers
c) TRUE
All the number listed are prime numbers hence why they are all at the bottom of the tree (only have 1 and itself as factors)
d) NOT TRUE
21 is not a prime number. The number 21 is divisible by 1, 3, 7, 21. For a number to be classified as a prime number, it should have exactly two factors. Since 21 has more than two factors, i.e. 1, 3, 7, 21, it is not a prime number.
4(x − 3) + 5x − x² for x = 2
Answer:
2
Step-by-step explanation:
Start by simplifying the expression:
[tex]4(x-3)+5x-x^2[/tex]
Use distribution:
[tex]4x-4(3)+5x-x^2\\4x-12+5x-x^2[/tex]
Add like terms:
[tex]9x-12-x^2[/tex]
Now, substitute the given value of x into the expression:
[tex]9(2)-12-2^2\\18-12-4\\6-4\\2[/tex]
Answer:
2
Step-by-step explanation:
Given: 4(x − 3) + 5x − x²
x = 2Substitute 2 for the value of x in the expression and simplify:
➜ 4(2 − 3) + 5(2) − (2)²
➜ 4(−1) + 10 − 4
➜ -4 + 10 - 4
➜ 2
Therefore, the value of the expression when x equals 2 is 2.
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Which graph does not represent a function of x?
Mrs cunningham wants to use rubber tiles to cover the floor of an indoor playground
what is the unit cost per ruber tile
Answer:
the unit cost per rubber tile is $$$$$$$$$$$$$6
Step-by-step explanation:
..
Order the numbers from least to greatest. 0.35, 3/5 , 38%
Least # _________ U, _________ I, _________ N Greatest #
Answer:
.35 < 38% < 3/5
Step-by-step explanation:
.35 is the same as 35 percent which is less than 38, and 3/5 when divides is .60 turned into percent is 60 percent
In two or more complete sentences, describe how to use technology to construct an appropriate regression model for the given data. you are not required to find the model, just choose the appropriate regression and explain how to use the technology. (-2,11), (1,1.7), (2,-0.2), (3,-1.5), (5,-2.3), (6,-1.8), (8,1)
The regression equation of the data values is y = 0.3x^2 - 2.8x +4.2
How to determine the regression equation?Using a technology such as a graphing calculator, we simply input the data values in the graphing calculator and then wait for the result.
The x coordinates must be entered into the x values and the y coordinates must be entered into the y values
Using a graphing technology, the regression equation of the data values is y = 0.3x^2 - 2.8x +4.2
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DO,K = (9, 6) (3, 2) The scale factor is
Using proportions, it is found that the scale factor of the transformation is of 1/3.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, during the transformation, each coordinate was divided by 3, hence, applying the proportion, the scale factor of the transformation is of 1/3.
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It’s confusing, would the answer be square root 7 over 4?
Answer:
[tex]\tan U = 1[/tex]
Step-by-step explanation:
[tex]\text{Apply Pythagorean theorem,}\\\\~~~~~~\text{Hypotenuse}^2 = \text{Base}^2 + \text{Perpendicular}^2\\\\\implies UT^2 = UV^2 +VT^2\\\\\implies UV^2 = UT^2 -VT^2\\\\\implies UV^2 = \left(7\sqrt 2 \right)^2 - 7^2\\\\\implies UV^2 = 49(2)-49\\\\\implies UV^2 = 49\\\\\implies UV = \sqrt{49} \\\\ \implies UV = 7[/tex]
[tex]\text{Now,}\\\\~~~~~~~~\tan \theta = \dfrac{\text{Perpendicular}}{\text{Base}}\\\\\\\implies \tan U = \dfrac{7}{7}\\\\\\\implies \tan U = 1[/tex]
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match the pairs of polynomials to their products. (xy + 9y + 2) and (xy – 3) x2y2 + 3x2y – 7xy – 27x – 18 (2xy + x + y) and (3xy2 – y) 6x2y3 – 2xy2 + 3x2y2 – xy + 3xy3 – y2 (x – y) and (x + 3y) x3y + 3x2 + 3x2y2 + 7xy – 6 (xy + 3x + 2) and (xy – 9) x2 – 9y2 (x2 + 3xy – 2) and (xy + 3) (x + 3y) and (x – 3y)
The products of the polynomials are:
(xy + 9y + 2) * (xy - 3) = x²y² - xy + 9xy² - 27y - 6(2xy + x + y) * (3xy² - y) = 6x²y³ - 2xy² + 3x²y² -xy + 3xy³- y²(x - y) * (x + 3y) = x² + 2xy + 3y²(xy + 3x + 2) * (xy – 9) = x²y² - 7xy + 3x²y - 27x - 18(x² + 3xy - 2) * (xy + 3) = x³y + 3x² + 3x²y² + 7xy - 6(x + 3y) * (x – 3y) = x² - 9y²How to evaluate the products?To do this, we multiply each pair of polynomial as follows:
Pair 1: (xy + 9y + 2) and (xy – 3)
(xy + 9y + 2) * (xy - 3)
Expand
(xy + 9y + 2) * (xy - 3) = x²y² - 3xy + 9xy² - 27y + 2xy - 6
Evaluate the like terms
(xy + 9y + 2) * (xy - 3) = x²y² - xy + 9xy² - 27y - 6
Pair 2: (2xy + x + y) and (3xy² - y)
(2xy + x + y) * (3xy² - y)
Expand
(2xy + x + y) * (3xy² - y) = 6x²y³ - 2xy² + 3x²y² -xy + 3xy³- y²
Pair 3: (x – y) and (x + 3y)
(x - y) * (x + 3y)
Expand
(x - y) * (x + 3y) = x² + 3xy - yx + 3y²
Evaluate the like terms
(x - y) * (x + 3y) = x² + 2xy + 3y²
Pair 4: (xy + 3x + 2) and (xy – 9)
(xy + 3x + 2) * (xy – 9)
Expand
(xy + 3x + 2) * (xy – 9) = x²y² - 9xy + 3x²y - 27x + 2xy - 18
Evaluate the like terms
(xy + 3x + 2) * (xy – 9) = x²y² - 7xy + 3x²y - 27x - 18
Pair 5: (x² + 3xy - 2) and (xy + 3)
(x² + 3xy - 2) * (xy + 3)
Expand
(x² + 3xy - 2) * (xy + 3) = x³y + 3x² + 3x²y² + 9xy - 2xy - 6
Evaluate the like terms
(x² + 3xy - 2) * (xy + 3) = x³y + 3x² + 3x²y² + 7xy - 6
Pair 6: (x + 3y) and (x – 3y)
(x + 3y) * (x – 3y)
Apply the difference of two squares
(x + 3y) * (x – 3y) = x² - 9y²
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Find the area of the triangle ABC with the coordinates of A(10, 15) B(15, 15) C(30, 9).
A= units^2
Check the picture below. so, that'd be the triangle's sides hmmm so let's use Heron's Area formula for it.
[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{10}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{15}~,~\stackrel{y_2}{15}) ~\hfill a=\sqrt{[ 15- 10]^2 + [ 15- 5]^2} \\\\\\ ~\hfill \boxed{a=\sqrt{125}} \\\\\\ (\stackrel{x_1}{15}~,~\stackrel{y_1}{15})\qquad (\stackrel{x_2}{30}~,~\stackrel{y_2}{9}) ~\hfill b=\sqrt{[ 30- 15]^2 + [ 9- 15]^2} \\\\\\ ~\hfill \boxed{b=\sqrt{261}}[/tex]
[tex](\stackrel{x_1}{30}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{5}) ~\hfill c=\sqrt{[ 10- 30]^2 + [ 5- 9]^2} \\\\\\ ~\hfill \boxed{c=\sqrt{416}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\qquad \textit{Heron's area formula} \\\\ A=\sqrt{s(s-a)(s-b)(s-c)}\qquad \begin{cases} s=\frac{a+b+c}{2}\\[-0.5em] \hrulefill\\ a=\sqrt{125}\\ b=\sqrt{261}\\ c=\sqrt{416}\\ s\approx 23.87 \end{cases} \\\\\\ A\approx\sqrt{23.87(23.87-\sqrt{125})(23.87-\sqrt{261})(23.87-\sqrt{416})}\implies \boxed{A\approx 90}[/tex]
what does it want me to put to 6 decimal places
They want you to solve the iterative process to a point where the value of x is greater than or equal to 6 decimal places.
What is an iterative process?An iterative process is a mathematical approach that employs an initial value to build a series of improving estimated solutions for a problem, where the nth-term estimation is generated from the prior ones.
You're required to put the value of x₁ = -1 into the equation:
[tex]\mathbf{x_{n+1}= \dfrac{(x_n)^3-1}{4}}[/tex]
where, [tex]x_1 = -1[/tex]So;
[tex]\mathbf{x_{2}= \dfrac{(-1)^3-1}{4}}[/tex]
[tex]\mathbf{x_{2}=-0.5}[/tex]
[tex]\mathbf{x_{3}= \dfrac{(-0.5)^3-1}{4}}[/tex]
[tex]\mathbf{x_{3}=-0.28125}[/tex]
[tex]\mathbf{x_{4}=\dfrac{(-0.28125)^3-1}{4}}[/tex]
[tex]\mathbf{x_{4}=-0.2555618286}[/tex]
x₄ ≅ -0.255562 ( to 6 decimal places)
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Find the greatest common factor of 15x2y³ and -18x³yz.
Answer:
GCF=3[tex]x^{2}y[/tex]
Step-by-step explanation:
First, take a look at the numbers.
GCF of 15 and -18 = 3
Then, look at the variables.
GCF of (x^2)(y^3) and (x^3)(y)(z) = (x^2)(y)
Lastly, combine the two expressions
GCF = 3(x^2)(y)
Answer: 3(x^2)(y)
Hope this helps!
Which is more, 20 inches or 1 foot?
Answer:
20 inches
Step-by-step explanation:
there is only 12 inches in a foot
HELP ASAP
Find the volume of the sphere. Round your answer to the nearest tenth.
Answer:
V = 3053.63 mm^3
Step-by-step explanation:
radius : 9mm
V = 4/3 * pi * r^3
V = 4/3 * (3.1415926535898...) * 9^3
V = 3053.63 mm^3
PLEASE HELP ME!
The dimensions of a rectangular prism are shown below:
Length: 1 1/3 feet
Width: 1 foot
Height: 2 1 /3 feet
The lengths of the sides of a small cube are 1 over 3 foot each.
Part A: How many small cubes can be packed in the rectangular prism? Show your work. (5 points)
Part B: Use the answer obtained in part A to find the volume of the rectangular prism in terms of the small cube and a unit cube.
#Part A
L=1-1/3=4/3B=1H=2-1/3=7)3Volume of rectanglular prism
4/3(1)(7/3)28/9ft³Volume of one cube
side³(1/3)³1/27in³Total cubes
28/9÷1/2728/9×2728(3)84cubes#2
Volume=
No of cubes ×volume of 1 cube
84(1/27)28/9in³Answer:
A) 84 cubes
B) Volume = 4 x 3 x 7 = 84 small cubes
[tex]\sf Volume=3 \frac{1}{9}\:\:ft^3[/tex]
Step-by-step explanation:
Part AAs the lengths of each side of the small cube are ¹/₃ ft each, to find the number cubes in the rectangular prism, first find how many thirds are in each dimension of the prism:
[tex]\sf Length=1 \frac{1}{3}\:ft=\dfrac{4}{3}\:ft=4\:thirds[/tex]
[tex]\sf Width=1 \:ft=\dfrac{3}{3}\:ft=3\:thirds[/tex]
[tex]\sf height=2 \frac{1}{3}\:ft=\dfrac{7}{3}\:ft=7\:thirds[/tex]
Now simply multiply the number of thirds:
Number of cubes in prism = 4 x 3 x 7 = 84
Part BAs we have already found the dimensions of the prism in terms of the number of cubes, the volume of the prism in terms of the small cube is:
⇒ Volume = 4 x 3 x 7 = 84 small cubes
To find the volume of the prism in ft³, calculate the actual volume of the small cube:
[tex]\textsf{Volume of small cube}=\sf \dfrac{1}{3} \times \dfrac{1}{3} \times \dfrac{1}{3}=\dfrac{1}{27}\:ft^3[/tex]
Now multiply the volume in terms of number of cubes by the actual volume of a cube:
[tex]\begin{aligned}\textsf{Volume} &= \sf \textsf{Volume in cubes} \times \textsf{Volume of cube in ft}^3\\\\& = \sf 84 \times \dfrac{1}{27}\:ft^3\\\\& =\sf \dfrac{84}{27}\:ft^3\\\\& =\sf 3\frac{1}{9}\:ft^3\end{aligned}[/tex]
What is the value of x in the figure?
X
40⁰
OA. 40°
OB. 70°
OC. 80°
OD. 120°
OE. 150°
70⁰
Answer:
E 150
Step-by-step explanation:
The coordinates of the mid - point of the line AB is (-1, -5).
What is mid - point?A midpoint is a point that divides a given line into two equal parts.
Given is that AB has endpoints at A(4, -8) and B(-6, -2). It is asked to find the coordinates of the midpoint of AB.
We can write the coordinates of the midpoint of AB as -
{x} = (x₁ + x₂)/2
{x} = (4 - 6)/2
{x} = - 2/2
{x} = -1
{y} = (y₁ + y₂)/2
{y} = (-8 - 2)/2
{y} = - 10/2
{y} = - 5
Therefore, the coordinates of the mid - point of the line AB is (-1, -5).
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Use the euclidean algorithm to find integers $x$ and $y$ such that $164x + 37y = 1,$ with the smallest possible positive value of $x$. state your answer as a list with $x$ first and $y$ second, separated by a comma.
Well, let's use the Euclidean algorithm:
164 = 4×37 + 16
37 = 2×16 + 5
16 = 3×5 + 1
Then working backwards,
1 = 16 - 3×5
1 = 16 - 3×(37 - 2×16) = 7×16 - 3×37
1 = 7×(164 - 4×37) - 3×37 = 7×164 - 31×37
so that x = 7 and y = -31.
3500 people attended a baseball game. 1330 of the people attending supported the home team, while 2170 supported the visiting team. what percentage of people attending supported the home team?
Answer:
38% is your answer boss. hope that helps :)
The percentage of people who supported the home team is 38 %
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The total number of people attending the baseball game = 3500 people
The number of people supporting the home team = 1300 people
The number of people supporting the visiting team is = 2170
Now , the equation will be
The percentage of people supporting the home team is = number of people supporting the home team / total number of people attending the baseball game
Now , the equation will be
The percentage of people supporting the home team is A = ( 1300 / 3500 ) x 100
The percentage of people supporting the home team is A = 0.38 x 100
The percentage of people supporting the home team is A = 38 %
Therefore , the value of A is 38 %
Hence , The percentage of people who supported the home team is 38 %
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kelly has read 5/6 of a book helen has read 9/12 of the same book who read more of the book?
Answer:
Kelly has read more of the book