Comparing the two data sets shown below
What is standard deviation and variance?Variance is the average squared deviations from the mean, while standard deviation is the square root of this number.
Both the mean and the median can be used to describe where the “center” of a dataset is located.
So, the mean of data in 2022 is more than mean of data in 2018.
It’s best to use the mean when the distribution of the data values is symmetrical and there are no clear outliers.
As the variance of 2022 more than in variance in 2018.
A high variance indicates that the data points are very spread out from the mean, and from one another.
As the standard deviation of 2022 more than in standard deviation in 2018.
The high standard deviation indicates data are more spread out.
The bigger the range, the more spread out the data.
Learn more about standard deviation, variance here:
https://brainly.com/question/17084031
#SPJ1
Find the slope of the line that passes through the points f(4) = 6 and f(-2) = 8.
Answer:
slope = - [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
given f(4) = 6 and f(- 2) = 8 , then 2 points on the line are
(4, 6 ) and (- 2, 8 )
calculate slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, 6 ) and (x₂, y₂ ) = (- 2, 8 )
m = [tex]\frac{8-6}{-2-4}[/tex] = [tex]\frac{2}{-6}[/tex] = - [tex]\frac{1}{3}[/tex]
Find the measure of the missing angle.
112°
a
The measure of angle b is 112° and the measure of angle c is 68°
Calculating the measures of anglesFrom the question, we are to determine the measures of the missing angles
From the diagram,
b = 112° (Vertically opposite angles)
∴ b = 112°
Also,
112° + c = 180° (Sum of angles on a straight line)
c = 180°- 122°
∴ c = 68°
Hence, the measure of angle b is 112° and the measure of angle c is 68°
Learn more on Calculating the measures of angles here: https://brainly.com/question/12274210
#SPJ1
Round of to the nearest thousand 741,543
Answer:
The correct answer is 742,000
Step-by-step explanation:
Answer:
742,000
Step-by-step explanation:
Please give me brainlist
-33 + 8x = -3 (3x+6) + 2
Answer:
x = 1
Step-by-step explanation:
-33 + 8x = -9x - 18 + 2
8x+ 9x = -18 + 2 + 33
17x = -16 + 33
17x = 17
x = 1
give me brainliest please!
hope this helps :)
The functions f and g are defined as follows.
f(x)=2x²-3x
g(x) = -4x-1
Find f(-2) and g (7).
Simplify your answers as much as possible.
f(-2) =
믐
X
9 (7) =
Ś ?
Answer:
f(-2) = -14g(7) = -29Step-by-step explanation:
~1
Given Polynomial:
f(x)=2x²-3xTo Find:
f(-2)Solution:
f(x)=2x²-3xSubstitute x = -2 onto the given polynomial,as we need to find f(-2),so x = -2.
f(6) = 2(-2)² -3(-2)Simplify using PEMDAS,then.
f(6) = -8 - 6f(6) = -14Hence, f(6) = -14
[tex] \rule{225pt}{2pt}[/tex]
~2
Given polynomial:
g(x) = -4x-1To Find:
g(7)Solution:
g(x) = -4x-1
Substitute x = 7 onto the given polynomial,as we need to find g(7),so x = 7.
g(7)= -4(7) - 1Simplify using PEMDAS.
g(7) = -28 - 1g(7) = -29Hence, g(7) = -29.
[tex] \rule{225pt}{2pt}[/tex]
Jayne Stopped to get gas before going on a road trip the tank already had 4 gallons of gas in it which equation relates the total amount of gasoline in the tank y to the number of gallons that she put in the tank X
a.) y=4+x
b.) y = x - 4
c.) y = 4 . x
d.) y = x / 4
Answer: A.) y=4+x
Step-by-step explanation:
evaluate the exppresion 14x-11y if x=4 and y=3
IM SO LOST PLS HELP ME
[tex]~~~~~~~c = \dfrac{a^2 +3b}{4}\\\\\implies 4c = a^2 +3b\\\\\implies 3b = 4c-a^2\\\\\implies b = \dfrac{4c-a^2}{3}[/tex]
Answer:
b = [tex]\frac{(4c-a^2)}{3}[/tex]
Step-by-step explanation:
[tex]c=\frac{a^{2}+3b }{4}[/tex]
First, let us multiply both sides by 4.
4c = a² + 3b
Now let us take a² to the left side.
4c - a² = 3b
Now to make b as the subject let us divide both sides by 3.
[tex]\frac{(4c-a^2)}{3} =\frac{3b}{3}[/tex]
Therefore,
b = [tex]\frac{(4c-a^2)}{3}[/tex]
My age this year is a multiple of 7. Next year it will be a multiple of 5. I am more than 20 years of age but less than 80. How old will I be 6 years from now?
Answer:
You will be 55
Step-by-step explanation:
PLEASE HELP!!!!!!!!!
Answer:
CE = 4.6 ft
Step-by-step explanation:
(a)
given 2 secants drawn from an external point to the circle , then
the product of the external part of one secant and the entire secant is equal to the product of the other secant's external part and that entire secant, that is
BE × BC = AB × DB
(b)
substituting given values into the equation
BE × 10 = 3 × 18
10 BE = 54 ( divide both sides by 10 )
BE = 5.4 ft
then
CE = CB - BE = 10 - 5.4 = 4.6 ft
write Six times a number w is at least -24 as an inequality
Answer:
[tex]6n \geq -24[/tex]
Step-by-step explanation:
First let's provide a variable for "a number" and call it [tex]n[/tex].
So "six times a number" could be written as [tex]6*n[/tex].
"Is at least" in mathematical terms means "greater than or equal to" or
≥
Putting this altogether gives the expression:
[tex]6n\geq -24[/tex]
7) Heather records the number of winners of the three Ring Toss game in the table below.
Number of Number of
Players
Winners
Game 1
123
52
Game 2
155
63
Game 3
172
65
Based on the data recorded in the table, how many winners should Heather expect if there
are 750 players?
The number of winners that Heather can expect is 300.
How many winners can be expected?The first step is to determine the total number of winners to the total number of players using the information in the table.
Total number of winners = 52 + 63 + 65 = 180 Total number of players = 123 + 155 + 172 = 450Ratio = 180 / 450 = 0.40
Number of winners if there are 750 players = 0.40 x 750 = 300 winners
To learn more about division, please check: brainly.com/question/194007
#SPJ1
f(x) = x^2. What is g(x)?
the answer is XG and that is the answer to your question ❓ ok she will he hi she
Explanation:
Normally x = 1 maps to y = f(x) = 1 for the parent function f(x) = x^2
However, the red curve shows x = 1 leads to y = 16 instead. This is a jump of "times 16"
We must multiply the f(x) outputs by 16 to get the g(x) outputs.
g(x) = 16*f(x)
g(x) = 16x^2
A giant pie is created in an attempt to break a world record for baking. The pie is shown below: What is the area of the slice of pie that was cut, rounded to the nearest hundredth?
78.13 ft
82.43 ft
86.31 ft
91.98 ft
if the "d"iameter of the pie is 30, then its radius must be half that, or 15.
[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=15\\ \theta =42 \end{cases}\implies \begin{array}{llll} A=\cfrac{(42)\pi (15)^2}{360}\implies A=\cfrac{105\pi }{4} \\\\\\ \stackrel{using~\pi =3.14}{A\approx 82.43} \end{array}[/tex]
An investment of $2,375 is made in a 7-year cd that earns 314% annual interest that is compounded continuously. how much will the cd be worth at the end of the 7-year term? round your answer to the nearest cent. do not include the dollar sign.
The worth of the cd at the end of 7 years will be $384,101.79.
What will be the worth of the investment?When an investment earns an interest that is compounded continuously, it means that it earns interest continuously.
The formula for calculating future value when there is continuous compounding is : A x e^r x N
Where:
A= amount e = 2.7182818 N = number of years r = interest rate2375 x (e^3.14) x 7 = $384,101.79
To learn more about continuous compounding, please check: https://brainly.com/question/26476328
#SPJ1
can someone help me with this question
Answer:
Step-by-step explanation:
Proof
AB||CD Given
<1 = <2 Given
<2 = <3 Alternate interior angles of Parallel lines
<1 = <3 Substitution for <2 from Given.
AC = AB the sides opposite equal angles are equal
Find the minimum point(s) of f(x) = x - 2x² + 1 given that f'(x) = 4x³ - 4x.
Answer: f(x) = x - 2x² + 1
x=-b/2a
(1/4,9/8
2. f'(x) = 4x³ - 4x
((\sqrt(3))/(3),-(8\sqrt(3))/(9))is a local minima
(-(\sqrt(3))/(3),(8\sqrt(3))/(9))is a local maxima
Step-by-step explanation: hopes this help
please mark me as a brainliest
Change 24 inches into feet given the fact that 1 foot = 12 inches.
Answer:
2 feet
Step-by-step explanation:
1 foot = 12 inches
2 feet=24 inches
Answer:
2 feet
Step-by-step explanation:
12 x 2 is 24.
Anthony shines a beam of light on the surface of a solution of glycerol at a certain angle. if the angle of refraction is 38°, what is the angle of incidence? the index of refraction of glycerol is 1.47, while that of air is 1.00. a. 38° b. 45° c. 55° d. 65° e. 70°
Answer:
D) 65°
Step-by-step explanation:
Use Snell's Law
[tex]n_1\sin\theta_1=n_2\sin\theta_2\\\\1.00\sin\theta_1=1.47\sin38^\circ\\\\\sin\theta_1=1.47\sin38^\circ\\\\\theta_1=\sin^{-1}(1.47\sin38^\circ)\\\\\theta_1\approx64.83^\circ[/tex]
Thus, the angle of incidence is D) 65°
Solve the formula for a linear equation, y = mx + b, for m. I’m not so great at formulas and it’d be great if someone helped thank you :)
Answer:
See below
Step-by-step explanation:
mx + b = y subtract 'b' from both sides of the equation
mx = y - b now, divide both sides by 'x'
m = (y-b)/x
A rectangular piece of iron has sides with lengths of 7.08 × 10–3 m, 2.18 × 10–2 m, and 4.51 × 10–3 m. what is the volume of the piece of iron? 6.96 × 10–7 m3 6.96 × 107 m3 6.96 × 10–18 m3
The volume of the rectangular piece with sides of lengths of 7.08 × 10–3 m, 2.18 × 10–2 m, and 4.51 × 10–3m is 6. 96 × 10^ -7 m
What is volume?Volume is defined as the amount of space or capacity occupied by a three-dimensional shape.
It is represented in cubic units.
How to determine the volume of a rectangleFormula:
Volume, V = length × breadth × height
Given the values;
7. 08 × 10 ^-3m , 2.18 × 10^ -2m and 4. 51 × 10^-3m
Multiply all the lengths
Volume = 7. 08 × 10 ^-3 × 2.18 × 10^ -2 × 4. 51 × 10^-3
= 69.6 × 10^-8
= 6. 96 × 10^ -7 m
Therefore, the volume of the rectangular piece is 6. 96 × 10^ -7 m
Learn more about volume of a rectangle here:
https://brainly.com/question/4062480
#SPJ1
Answer:
A
Step-by-step explanation:
trust
What is the first step in the solution of 3x2+6x=12 by completing the square?
A: r3+r=2
B: r2+2r=4
C: 3r2+6r+9=12+9
D: 3r2+6r+36=12+36
Answer:
B: r² + 2r = 4
Explanation:
[tex]\rightarrow \sf 3x^2+6x=12[/tex]
divide both sides by 3
[tex]\rightarrow \sf x^2+2x=4[/tex] ← This is the result of the first step.
factor out the common term
[tex]\rightarrow \sf x(x+2) = 4[/tex]
set to 0
[tex]\rightarrow \sf x = 4, \ x+2 = 4[/tex]
simplify
[tex]\rightarrow \sf x = 4, \ x= 2[/tex]
Divide all terms by a i.e 3
We get
x²+2x=4Or
r²+2r=4Option B is correct
Help, I still don't understand this question!
What is the measure of ∠BAC, ∠ABC, and ∠ACB?
The answer is:
" m∠BAC = 45° ; m∠ABC, = 64° ; and: m∠ACB = 70° ."
__________
Step-by-step explanation:
To find the measure of ∠BCA {"m∠BCA"} :
<BCA is supplementary to " 110 " ; that is, both, or all, of all the measurements that form a "line or line segment"; or any portions thereof,
that can be written in: "slope-intercept format"
that is, on Cartesian plane: " y = mx + b " ;
in which: "y" is isolated on the "left-hand side" of the equation; as a single, isolated variable;
and in which: "m" is the "slope" (if applicable); and the coefficient to the "x" value'
and in which "b" is the "y-intercept"; or more precisely"
the value of the "y-coordinate"—in: "(x, y)" format —at which:
" x = 0" ; that is, in the format: " (0, b)."
_________________
So, to find
m∠BCA : Subtract our given value, "110" ; from "180" ; as follows:
_________________
" (180 − 110) = 70" ;
__________________
Now: Note a triangle, by definition, has 3 (three) sides and 3 (three) angles—and all three (3) angles of a triangle add up to 180°.
So: We just solved for m∠ACB ; which is: 70° .
Now shall solve for the value of "x" ; & then find the value of all 3 (three) sides of this triangle
Since all angles within a triangle add up to 180: Let's add them up:
" 70 + 3x + 20 + 3x = 180 " ;
Combine the "like terms" on the "left-hand side" of the equation:
" +3x + 3x = 6x " ; "+ 70 + 20 = 90 ";
And rewrite the equation:
" 6x + 90 = 180 " ;
Now, subtract "90" from Each Side of the equation:
" 6x + 90 − 90 = 180 − 90 " ;
to get: " 6x = 90 " ;
Now, divide Each side of the equation by "6" ;
to isolate "x" on one side of the equation ;
and to solve for "x" :
" 6x / 6 = 90 / 6 ;
to get: " x = 15 " ;
________________
Now, we are asked to find:
1) " m∠BAC = 3x " ; Plug in "15" for "x" ; and solve:
"3x = 3(15) = 45 " ;
2) " m∠ABC = "(3x + 20)" ; Plug in "15" for "x"; and solve:
"3(15) + 20 = 45 + 20 = 65 " ;
3) " m∠ACB = 70 " ; (as per our calculated value);
To check our work—do these 3 (three) numbers add up to 180?
"45 + 65 + 70 =? 180 ? " ;
" 110 + 70 = " 180 "? Yes!
__________
So: The answer is as follows:
" m∠BAC = 45° ; m∠ABC, = 64° ; and: m∠ACB = 70° ."
__________
Hope this is helpful to you! Best wishes!
A cone has a height of 9 feet and a radius of 8 feet. What is its volume?
Use ≈ 3.14 and round your answer to the nearest hundredth.
please help me i dont get it. :(
elo guys can u guys help me on these i have 20 min
I used exemplar. the mean means add all the numbers and divide it buy how many there are.
5 + 7 + 9 = 21
21/3 = 7
0 3 4 6 6 7 7 7 9
Median = 6 (the middle number)
Mode = 7 (the most common number)
Range = 9 (Biggest number - smallest number)
Hope this helps!
If not then let me know!
Help me if you can please!!!
To solve this, we need to use our trigonometric equations:
⇒ look at the diagram attached
Let's examine what the problem wants:
the length of the side opposite to the 27-degree angleLet's examine what the problem gives us:
the length of the side adjacent to the 27-degree anglethe angle that has a measure of 27-degreesLet's solve:
[tex]tan(27)=\frac{x}{15} \\x=15*tan(27)\\x=7.64[/tex]
Answer: 7.6 (rounded to the nearest tenth)
Hope that helps!
Nevaeh models the volume of a popcorn box as a right rectangular prism. Its dimensions are 5 in by 3 in by 7 1/4 in. How many cubic inches of popcorn would it hold when it’s a quarter full? Round your answer to the nearest tenth if necessary.
The cuboid can hold 27.2 cubic inches of popcorn
What is a right rectangular prism?A right rectangular prism is also called the cuboid. it is a solid three dimensional shape with 6 faces, 12 edges and 8 vertices.
Analysis:
Volume of cuboid = length x width x height
= 5 x 3 x 29/4 = 108.75 cubic inches
When it is quarter full, volume = 1/4 x 108.75 = 27.2 cubic inches
In conclusion, the volume of the cuboid is 27.2 cubic inches.
Learn more about cuboid: brainly.com/question/22694657
#SPJ1
The sun of two numbers is 7 and a different 1 what are the two numbers
Answer:
3 and 4
Step-by-step explanation:
given that the difference is 7, two numbers that add up to 7 are 3 and 4.
HELP ASAP!! ANSWER QUESTION IN PICTURE BELOW!!!
Answer:
a
Step-by-step explanation:
anything less than 18 is wrong
Denise is designing the seating arrangement for a concert at an outdoor theater. to give everyone a good view, each row must have 6 more seats than the row before it, and the 1st row can only have 11 seats. explain to denise how to create an equation to predict the number of seats in any row. then, using your equation, show your work to determine the number of seats in row 18
An equation is formed of two equal expressions. The number of seats in row 18 will be 119.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
A.) Given the number of seats that the first row can have is 11, while the number of seats that the next row should have is six more than the previous one. Therefore, the number of seats will increase linearly.
Thus, the equation for the number of seats in any row can be given as y=11+6x, where y is the number of seats and x is the number of row.
B.) The number of seats in row 18 will be equal to,
y = 11 + 6x
y = 11 + 6(18)
y = 11 + 108
y = 119
Hence, the number of seats in row 18 will be 119.
Learn more about Equation:
https://brainly.com/question/2263981
#SPJ1