Answer:
A scatter plot can also be useful for identifying other patterns in data. We can divide data points into groups based on how closely sets of points cluster together. Scatter plots can also show if there are any unexpected gaps in the data and if there are any outlier points
pls mark as brainliest answer
Step-by-step explanation:
The reason is discussed below:
What Is a Scatter Plot?A scatter plot is a means to represent data in a graphical format. A simple scatter plot makes use of the Coordinate axes to plot the points, based on their values.
How to Construct a Scatter Plot?STEP I: Identify the x-axis and y-axis for the scatter plot.STEP II: Define the scale for each of the axes.STEP III: Plot the points based on their values.Types of Scatter PlotA scatter plot helps find the relationship between two variables. This relationship is referred to as a correlation. Based on the correlation, scatter plots can be classified as follows.
Scatter Plot for Positive CorrelationScatter Plot for Negative CorrelationScatter Plot for Null CorrelationA scatter plot might be helpful for spotting further data trends.
Based on how tightly sets of data points cluster together, we can categorize the data points into groups.
Additionally, scatter plots can reveal any unexpected gaps in the data as well as any outlier spots.
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Brent Pokott borrowed $4000 from his brother Dave. He agreed to repay the money at the end of 3 years, giving Dave the same amount of interest that he would have received if the money had
been invested at 1.25% compounded quarterly. How much money did Brent repay his brother?
(Round to the nearest cont as needed)
Answer: Brent repay $4152.61 to his brother.
Step-by-step explanation:
Formula to calculate compound amount : [tex]A =P(1+\dfrac{r}{4})^{4t}[/tex]
, where P= principal amount
r= rate of interest (in decimal)
t= time
As per given, we have
P= $4000
t= 3 years
r= 1.25% = 0.0125 [we divide a percentage by 100 to write in simple form]
Now, substitute these values in the formula
[tex]A=4000(1+\dfrac{0.0125}{4})^{4\times3}\\\\=4000(1.003125)^{12}\\\\=4000\times1.03815129256\\\\\approx4152.61 \ \ [\text{To the nearest cent.}][/tex]
Hence, Brent repay $4152.61 to his brother.
Help please ASAP :) please give answers to both questions
Answer:
2 cm
10 cm
Step-by-step explanation:
14/7 = 2
This helps to find because area of rectangle = bh or base times height.
A = 1/2 bh
30 = 1/2 b 6
30 = 3b
b = 10
Answer:
b = 2 cm
b = 10 cm
Step-by-step explanation:
Area of a Rectangle: A = lw
Area of a Triangle: A = 1/2bh
We are given area and length, so simply plug it in:
14 = 7w
w = 2 cm
We are given area and height, so simply plug it in:
30 = 1/2(6)(b)
30 = 3b
b = 10 cm
O aquário de Noé é um paralelepípedo retangular com dimensões 50 cm x 25 cm x 40 cm. Ele quer encher o aquário com água da torneira, mas a localização da torneira obriga-o a inclinar o aquário de um ângulo de 45°. A água flui a borda do aquário.Calcule a altura máxima da água no aquário e marque a opção correta abaixo. A) 28,5 B) 27,5 C) 26,5 D) 25,5 E) 24,5
Answer:
si
Step-by-step explanation:
Point L is located at (4, -3) and M is located at (-8, 5). Find the y value of the point that lies halfway between L and M.
Answer:
y = 1
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
Here (x₁, y₁ ) = (4, - 3) and (x₂, y₂ ) = (- 8, 5), thus the y value of midpoint is
y = [tex]\frac{1}{2}[/tex] (- 3 + 5) = 0.5 × 2 = 1
If f(x)=5x, what is f^-1(x)
Answer:
f^-1(x) = _x__
5
Step-by-step explanation:
Answer:
[tex] {f}^{ - 1} (x) = \frac{x}{5} [/tex]
Step-by-step explanation:
f(x) = 5x
To find f^-1(x) equate f(x) to y
That's f(x) = y
y = 5x
Interchange the variables
x = 5y
Make y the subject by dividing both sides by 5
y = x/5
The final answer is
f^-1(x) = x/5
Hope this helps you.
• How can you tell that a point on the graph is a maximum, a minimum, or neither?
Answer:
If it is on the maximum, then the y-value of the point cannot be any higher and still be on the graph of the function. If it is on the minimum, the the y-value of the point cannot be any lower and still be on the graph of the function. If it isn't either the maximum or the minimum, it is neither.
The area between z = 0.41 and z = 1.93 is
Answer:
Step-by-step explanation:
0.026803
The numbers $1,$ $2,$ $\dots,$ $10$ are to be entered into the 10 boxes shown below, so that each number is used exactly once: \[P = (\square + \square + \square + \square + \square)(\square + \square + \square + \square + \square).\]What is the maximum value of $P$? What is the minimum value of $P$?
Answer:
Maximum = 756
Minimum = 600
Step-by-step explanation:
A square is a shape that has the large areas of a defined perimeter out of available rectangles. It implies they want the two parentheses to be as similar in value. as a result, to establish the maximum value of P.
And to establish the minimum value, to have the greatest difference for them. 1 + 2 + 3 ... +10=55, which wasn't even but which can be split as similarly as possible into 27 and 28 which have a product of 756. In this question it can be done in a variety of ways, one of which is:
(1 + 3 + 5 + 8 + 10) × (2 + 4 + 6 + 7 + 9) = 756
At the very least, the biggest difference can be created if one term is made of the smallest numbers, while the other full of the highest, or:
(1 + 2 + 3 + 4 + 5) × (6 + 7 + 8 + 9 + 10)=600
Salt is falling on a Conical pile of 6 cubic meters per minute. The diameter of the cone is twice the height, what is the rate the height is changing when the pile is 9 meters tall.
Answer:
0.0236 m per minute,
Step-by-step explanation:
Volume of the cone V = 1/3 π r^2 h.
Diameter = 2r = 2h so r = h
and V = 1/3 π h^3
So the rate of change of volume with height =
dV / dh = π h^2.
We are given that dV/dt = 6.
So the rate of change of height: dh/dt = dV/dt * dh/dV
= 6 * 1/ π h^2
When h = 9
dh/dt = 6 / 81π m per minute
= 0.0236 m per minute,
what is the next term for this sequence: 5,7,3,9,1,11,?
Answer:
-1
Step-by-step explanation:
each time it moves by the next even number. (Difference between 5 and 7 is 2, difference between 7 and 3 is 4, difference between 3 and 9 is 6, etc.)
(x2 + 4x) - 2x = x2 +
X
Answer:
x=0
Step-by-step explanation:
(x^2 + 4x) - 2x = x^2 +x
Combine like terms
x^2 +2x = x^2 +x
Subtract x^2 from each side
2x =x
Subtract x from each
2x-x = x-x
x = 0
Answer:
[tex]x=0[/tex]
Step-by-step explanation:
[tex]x^2+4x-2x=x^2+x[/tex]
Combine like terms.
[tex]x^2+2x=x^2+x[/tex]
Add [tex]-x^2[/tex] and [tex]-2x[/tex] on both sides.
[tex]x^2+2x-x^2-2x=x^2+x-x^2-2x[/tex]
[tex]0=x-2x[/tex]
[tex]0=-1x[/tex]
Divide both sides by [tex]-1[/tex].
[tex]\frac{0}{-1} =\frac{-1x}{-1}[/tex]
[tex]0=x[/tex]
Helppp!!!! please!!!
Answer: B. rectangular pyramid
What is the ratio of the Volume of the smaller pyramid to the larger pyramid
A shoe maker made 3 new soles every 4 minutes. Another shoe maker made 2 soles every 3 minutes. What was the difference in the number of soles they made in an hour? USE A RATIO OR PROPORTION TO ANSWER THIS PLS.
Answer:
45:40
Step-by-step explanation:
You take the first time and divide 60 by that number (60/4=15) Then you multiply it by the numbers of shoes being created (3*15=45) Repeat this for the other part and you have your answer
which equation has roots of 3plus or minus sqare rt 2?
Answer:
Option D is correct.
The equation with roots 3 plus or minus square root 2 is x² - 6x + 7
Step-by-step explanation:
The roots of the unknown equation are
3 ± √2, that is, (3 + √2) and (3 - √2)
The equation can then be reconstructed by writing these roots as the solutions of the quadratic equation
x = (3 + √2) or x = (3 - √2)
The equation is this
[x - (3 + √2)] × [x - (3 - √2)]
(x - 3 - √2) × (x - 3 + √2)
x(x - 3 + √2) - 3(x - 3 + √2) - √2(x - 3 + √2)
= x² - 3x + x√2 - 3x + 9 - 3√2 - x√2 + 3√2 - 2
Collecting like terms
= x² - 3x - 3x + x√2 - x√2 - 3√2 + 3√2 + 9 - 2
= x² - 6x + 7
Hope this Helps!!!
Matt invested $1500 into a stock of his choice. After two years, he had received
$400 in dividends. He sold the stock and received a total of $1600. What is Matt's
rate of return on investment?
For this question, the time given confuses me. I know the rate of return is just total return divided by divided by investment, Assuming that Matt received the $400 in dividends as cash payouts, and they weren't reinvested into buying shares of the stock, then his total return over two years was $500, Now, if Matt's dividends were reinvested into the stock - and if you have a 401(k) or IRA, that's what usually happens - then his ROI would have been only 6% because he only made a profit of $100 on an investment of $1500. Note: In the real world, in current market conditions, Matt probably would have got about a 5% return on a good stock, and Bella would have received about 0.05% on a savings account.
hope this helped you ;)
Matt probably would have got about a 5% return on a good stock.
How to find the rate of return?The rate of return is just the total return divided by investment.
Consider that Matt received the $400 in dividends as cash payouts, and they weren't reinvested into buying shares of the stock, then his total return over two years was $500.
Now, if Matt's dividends were reinvested into the stock then his ROI would have been only 6% because he only made a profit of $100 on an investment of $1500.
In the real, current market conditions, Matt probably would have got about a 5% return on a good stock, and Bella would have received about 0.05% on a savings account.
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which of the following shows the polynomial below written in descending order?
Answer:
A
Step-by-step explanation:
Descending order is where the monomials of a polynomial are arranged in decreasing exponent order so the answer is A.
Answer:
the answer is option a because all the expression in option a is written descending power form.
A bag contains four red marbles, six green marbles, eight yellow marbles, and two blue marbles. Find the probability of drawing a blue marble, replacing it, then drawing a yellow marble
Answer:
1/25
Step-by-step explanation:
The probability of drawing a blue marble, replacing it, then drawing a yellow marble is 1/25.
Given,
A bag contains four red marbles, six green marbles, eight yellow marbles, and two blue marbles.
We need to find the probability of drawing a blue marble, replacing it, then drawing a yellow marble.
What is a combination?A combination is used to select required items from a set where the order of selection does not matter.
It is given by:
n^Cr = n! / r! (n-r)!
Where n = the number of elements present in a set.
Find the number of each marble.
Red marbles - 4
Green marbles - 6
Yellow marbles - 8
Blue marbles - 2
Find the probability of drawing a blue marble
P ( B ) = ^2C_1 / ^20C_1
= (2! / 1!) / (20! / 19! 1!)
= 2 / 20
= 1/10
Find the probability of drawing a yellow marble
P ( Y ) = ^8C_1 / ^20C_1
= (8! / 1! 7!) / (20! / 191 1!)
= 8 / 20
= 2 / 5
Find the probability of drawing a blue marble, replacing it, then drawing a yellow marble
Both the probability is independent so,
P = P ( B ) X P ( Y )
= 1/ 10 X 2 / 5
= 1 / 25
Thus the probability of drawing a blue marble, replacing it, then drawing a yellow marble is 1/25.
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At which root does the graph of f(x) = (x + 4) 6(x + 7)5 cross the x-axis?
-7
4
4
07
Answer:
-7 and -4
Step-by-step explanation:
The graph of the function f(x) = (x + 4)⁶ (x + 7)⁵ cross the X axis at x = -4 and x = -7.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given is a function,
f(x) = (x + 4)⁶ (x + 7)⁵
When the function cross the X axis, the value of the function will be 0.
Let f(x) = 0
(x + 4)⁶ (x + 7)⁵ = 0
This implies that, either x + 4 = 0 or x + 7 = 0
x + 4 = 0 ⇒ x = -4
x + 7 = 0 ⇒ x = -7
Hence the roots are -4 and -7 where the function crosses the X axis.
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If (ax+b)(bx+a)=26x^2+ Box(x) +26, where a, b, and Box are distinct integers, what is the minimum possible value of Box, the coefficient of x?
Question in latex: If $(ax+b)(bx+a)=26x^2+\Box\cdot x+26$, where $a$, $b$, and $\Box$ are distinct integers, what is the minimum possible value of $\Box$, the coefficient of $x$?
Answer:
16.59
Step-by-step explanation:
Given:
[tex](ax+b)(bx+a)=26x^2+\Box\cdot x+26[/tex]
Expanding the left hand side, we have:
[tex](ax+b)(bx+a)=abx^2+a^2x+b^2x+ab\\=abx^2+(a^2+b^2)x+ab\\=26x^2+\Box\cdot x+26\\ab=26 \implies b=\frac{26}{a}[/tex]
Therefore:
[tex]a^2+b^2=a^2+\dfrac{26}{a} =\dfrac{a^3+26}{a}[/tex]
To find the minimum value, we take the derivative and solve for its critical point.
[tex]\frac{d}{da} (\frac{a^3+26}{a})=\frac{2a^3-26}{a^2}\\$Setting the derivative equal to zero, we have:\\2a^3-26=0\\2a^3=26\\a^3=13\\a=\sqrt[3]{13}[/tex]
Recall that:
[tex]\Box=a^2+b^2=\dfrac{(\sqrt[3]{13}) ^3+26}{\sqrt[3]{13}}\\=\dfrac{13+26}{\sqrt[3]{13}}\\\\\Box=16.59[/tex]
The minimum possible value of the coefficient of x is 16.59.
Answer:
173
Step-by-step explanation:
For sympliciy let the box equal y.
Expanding the left side we get (a*x+b)(b*x+a) = (a*b*(x)^2 + (a^2 + b^2)x + a*b). Hence we have that (a*b*(x)^2 + (a^2 + b^2)x + a*b) = 26*(x)^2 + x*y + 26. Scince the coefficients of like terms in our equation must be equal, ab=26. Hence (a,b) = (1,26),(26,1),(-1,-26),(-26,-1),(2,13),(13,2),(-2,-13),(-13,-2). Since a^2 + b^2 = y we can see that the only 2 values of y are 677 and 173 (by simply plug in the values of (a,b)), taking the smaller of the two our answer is [173].
Which of the following functions is graphed below?
8
84
4.
24
-8
2
4
8
8
12
-2
4
-6+
-87
Answer:
Step-by-step explanation:-
-
-8239910.76
Find the total surface area of this triangular prism...
Answer:
144 cm^2
Step-by-step explanation:
8x6+4x10+4x8+4x6
48+40+32+24
80+40+24
120+24
144
Chloe discovers that her rectangular shed is 6 feet longer than three times the width. If the perimeter of the shed is 100 feet, find the dimensions. (Recall: the perimeter of a rectangle is given by the formula P = 2 L + 2 W .)
Answer:
11 feet by 39 feet.
Step-by-step explanation:
In this case, the perimeter, P, is 100 ft.
If the length of the shed is 6 feet longer than three times the width, that means that the length, L, is equivalent to 6 plus 3 times the width, W.
So, we have an equation: P = 2 * L + 2 * W.
100 = 2 * (6 + 3W) + 2 * W
100 = 12 + 6W + 2W
100 = 12 + 8W
8W + 12 = 100
8W = 88
W = 11
And so, we know that the width is 11 feet.
To solve for the length...
L = 6 + 3W
L = 6 + 3 * 11
L = 6 + 33
L = 39
So, the length is 39 feet.
Now, you have the dimensions of the shed: 11 feet by 39 feet.
Hope this helps!
Ms. Stone decided to purchase 2 reusable bottles instead. When she got to the counter, she realized she had $10.15, only ⅝ of the money she needed for the purchase. How much does 1 bottle cost?
Answer:
One reusable bottle cost $8.12
Step-by-step explanation:
Let
x=total cost of the two reusable bottles
Ms stone has 5/8 if the total cost of the two reusable bottles
5/8 of x=$10.15
5/8*x=10.15
x=10.15÷5/8
=10.15×8/5
=81.2/5
=16.24
x=$16.24
The total cost of of the two reusable bottles=$16.24
If total cost of two reusable bottles=$16.24
Cost of one reusable bottle=$16.24/2
=$8.12
One reusable bottle cost $8.12
If f = (1,2) , (3,4) , (5,6) and g = (2,3) , (4,6) , (6,8) . Find the composite of gof. does fog exist?
Answer:
[tex]g\circ f=\{(1,3),(3,6),(5,8)\}[/tex].
[tex]f\circ g[/tex] does not exist.
Step-by-step explanation:
It is given that,
[tex]f=\{(1,2),(3,4),(5,6)\}[/tex]
[tex]g=\{(2,3),(4,6),(6,8)\}[/tex]
We need to find the composition gof.
[tex](g\circ f)(x)=g(f(x))[/tex]
Now,
[tex](g\circ f)(1)=g(f(1))=g(2)=3[/tex]
[tex](g\circ f)(3)=g(f(3))=g(4)=6[/tex]
[tex](g\circ f)(5)=g(f(5))=g(6)=8[/tex]
So, [tex]g\circ f=\{(1,3),(3,6),(5,8)\}[/tex].
We need to check whether [tex]f\circ g[/tex] exist of not.
If range of g(x) is subset of domain of f(x), then we can say composition function [tex]f\circ g[/tex] exists.
Now,
Range of g(x) = {3,6,8}
Domain of f(x) = {1,3,5}
Since range of g(x) is not a subset of domain of f(x), then we can say composition function [tex]f\circ g[/tex] does not exist.
HELPPP DO NOT LOOK IT UP PLS
Find an equation that fits this graph:
Answer:
y = -2/3x + 4
Step-by-step explanation:
Use formula for slope given two points.
m = (y2 - y1)/(x2 - x1)
The two points are (0, 4) and (6, 0)
m = (0 - 4)/(6 - 0)
m = -4/6
m = -2/3
y = -2/3x + b
The y-intercept b is 4.
Determine which postulate or theorem can be used to prove that ABC =
DCB.
Pls answer fast
Answer:
B
Step-by-step explanation:
The postulate that can be used to link both triangles is AAS which means Angle Angle side
From the diagram, we can see that we have 2 equal angles and one side in between the two triangles
This means whatever proof we are bringing out is dependent on the two equal angles and the common side between the two triangles
Please help me with this. Attention all smart people!!!
Answer: CPCTC
Step-by-step explanation:
because in the step before that it was proved that the triangles were congruent and CPCTC is used after they are proved congruent.
By CPCT [Corresponding Part of congruent Triangle]
<h=<j
hope i helped
-lvr
A physical count of supplies on hand at the end of may for Masters, inc. Indicated $1,253 of supplies on hand. The general leger balance before any adjusting is $2,130. What is the adjusting entry for office supplies that should be recorded on may 31?
Answer: Debit Supplies Expense $877 and credit Supplies $877
Step-by-step explanation:
From the question, we are informed that a physical count of supplies on hand at the end of may for Masters, inc. showed $1,253 of supplies on hand while the general leger balance before any adjusting is $2,130.
The adjusting entry for office supplies that should be recorded on may 31 will be the difference in the physical count and general ledger balance which is ($2130 - $1253) = $877. We then have to debit Supplies expense $877 and then credit supplies $877