Answer:
Set 2
Step-by-step explanation:
First find the median of each set (the median being the number in the middle):
(1) { 4,7,10,13,16} = 10
(2) {8,9,10,18,19} = 10
(3) {8,9,10,11,12} = 10
(4) {1,2,10,11, 12} = 10
Then find the mean of each set (the mean being average of all the numbers, to find the average add up all the numbers and divide by the amount of numbers):
(1) { 4,7,10,13,16} = 10
(2) {8,9,10,18,19} = 12.8
(3) {8,9,10,11,12} = 10
(4) {1,2,10,11, 12} = 7.2
the answer being 12.8 since 12.8 is greater than 10
(4) {1,2,10,11, 12}
Answer:
Solution given:
1:
{ 4,7,10,13,16}
n=5
median={n+1)/2th term=6/2=3th term=10
mean=sum/n={ 4+7+10+13+16}/{5}=10
(2)
{8,9,10,18,19}
n=5
median={n+1)/2th term=6/2=3th term=10
mean=sum/n={8+9+10+18+19}/{5}=12.8
3) {8,9,10,11,12}
n=5
median={n+1)/2th term=6/2=3th term=10
mean=sum/n={8+9+10+11+12}/{5}=10
(4) {1,2,10,11, 12}
n=5
median={n+1)/2th term=6/2=3th term=10
mean=sum/n={1+2+10+11+13}/{5}=7.4
In above
1: mean=median
2:mean>median
3:mean=median
4:mean<median
so median is greater than mean is in 4th one.
(4) {1,2,10,11, 12}
"I think of a number, multiply it by 2, subtract 3 and multiply the result by 4."
Answer:
Step-by-step explanation:
What is the average rate of change of the function f(x)=2x^2+x+5 over the interval -2<x<2?
A. -4
B. -1
C. 1
D. 4
Answer:
C
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 2, 2 ] , then
f(b) = f(2) = 2(2)² + 2 + 5 = 8 + 2 + 5 = 15
f(a) = f(- 2) = 2(- 2)² + (- 2) + 5 = 8 - 2 + 5 = 11 , then
average rate of change = [tex]\frac{15-11}{2-(-2)}[/tex] = [tex]\frac{4}{4}[/tex] = 1 → C
Help please guys if you don’t mind
Answer:
220 people per year.
that is the answer
Given the system of equations.
{-4x+y = 3
{2x - y = 12
Which of the options represents the resulting equation after an equivalent expression for y ls substituted into the
second equation.
2x - (4 X+3) = 12
-4(4y+)+y=3
2 (4x+3) - y
-4x+4 x-3=3
Answer:
A. 2x - (4x + 3) = 12
Step-by-step explanation:
A. 2x - (4x + 3) = 12
B. -4(4y+)+y=3
C. 2 (4x+3) - y
D. -4x+4 x-3=3
Given equation:
-4x+y = 3. (1)
2x - y = 12. (2)
From (1)
y = 3 + 4x
Substitute y = 3 + 4x into (2)
2x - y = 12 (2)
2x - (3 + 4x) = 12
Or
2x - (4x + 3) = 12
2x - 4x - 3 = 12
- 2x = 12 + 3
- 2x = 15
x = 15/-2
x = -7.5
Substitute x = -7.5 into (1)
-4x+y = 3 (1)
-4(-7.5) + y = 3
30 + y = 3
y = 3 - 30
y = -27
1. Brad invested $2,300 in a corporate bond
that pays 14% interest compounded
continuously. How long will it take
Brad's investment to triple?
Given:
Principal value = $2300
Rate of interest = 14% compounded continuously.
To find:
The time taken by Brad's investment to triple.
Solution:
The formula for amount after the compound interest (Continuously) is:
[tex]A=Pe^{rt}[/tex]
Where, P is the principal, r is the rate of interest in decimal and t is the time period.
Triple of Brad's investment is
[tex]3\times \$ 2300=\$ 6900[/tex]
Substituting [tex]A=6900,P=2300\ r=0.14[/tex], we get
[tex]6900=2300e^{0.14t}[/tex]
[tex]\dfrac{6900}{2300}=e^{0.14t}[/tex]
[tex]3=e^{0.14t}[/tex]
Taking natural log on both sides, we get
[tex]\ln 3=\ln e^{0.14t}[/tex]
[tex]1.0986=0.14t[/tex] [tex][\because \ln e^x=x][/tex]
[tex]\dfrac{1.0986}{0.14}=t[/tex]
[tex]7.84714=t[/tex]
After approximating the value, we get
[tex]t\approx 7.85[/tex]
Therefore, Brad's investment will take 7.85 years to triple.
¿Cuál de los siguientes productos algebraicos es un Binomio Suma por Binomio Diferencia?
Seleccione una:
a. (a + b) (a - b)
b. (a - b) (a - b)
c. (a + b) (a + b)
d. (a + b) (c + d)
what is 65 divded by 487
Answer:
0.13347022587
Step-by-step explanation:
Answer:
7 R 32
Step-by-step explanation:
0 0 7
6 5 4 8 7
− 0
4 8
− 0
4 8 7
− 4 5 5
3 2
Reflect A(-2,4), B(3,-5), C(2, 1) over the x-axis.
Answer:
When you reflect over the x axis, you change all the y values to their opposites (switch the sign)
Step-by-step explanation:
PLEASE HELP! Which is not a mathematical sentence?
A. 8 + 7 = 15
B. k+ 2<6
C. n+ 19
D. 222
Answer:
D
Step-by-step explanation:
its just rabdom numbers
Answer:
D thats just a number no sequence or any thing
Step-by-step explanation:
If 2 tan x/ 1- tan^2 x=1, then x can equal:
Answer: x=pi/8+npi and x=5pi/8+npi
Step-by-step explanation:
What am I doing wrong? I've tried every conceivable answer, I thought I knew this type of math well, but this program keeps telling me I'm wrong.
Answer:
15.0 units
Step-by-step explanation:
Here, we want to get the distance between the two points as follows;
CD = √(x2-x1)^2 + (y2-y1)^2
So we have;
CD = √(7+8)^2 + (-5+4)^2
CD = √225+ 1 =
CD = √(226
CD = 15.0 units
CAN SOMEONE HELP ME WITH THIS PLEAS AND THANK YOU.
I DO NOT KNOW HOW TO DO THIS ONE WHEN YOU KNOW HOW TO DO IT I WILL DO IT ON MY OWN MABY.
Answer:
2 and 2/6ths
SBSE:
1. multiply the denominators together (in this case, 24)
2. multiply each numerator by the denominators
3. reduce the 5 to four, making 4/24ths into 28/24ths
4. subtract the fractions and whole numbers.
Which of the following is a property of all rhombi? O A. They have 4 right angles. B. The diagonals are congruent. O C. All 4 sides are congruent. D. They contain 4 right angles.
Step-by-step explanation:
the diagonals are congruent
simplify ( √ 5 ) ( 3 √ 5 )
Answer:
( √ 5 ) ( √ 5 ) 3
5*3
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
( √ 5 ) x ( 3 √ 5 )
=> 3 ( √ 5 x √5)
=> 3 x ( √25)
=> 3 x 5
=> 15
Please help me answer this
* please help*
What are the solutions of equation (x — 2)^2 = -3x + 6
Select all that apply.
A X= -3
B. X= -2
C. X= -1
D. x= 3
E. x= 1
F. X= 0
G. X= 2
Answer:
C and G
Step-by-step explanation:
Given
(x - 2)² = - 3x + 6 ← expand left side using FOIL
x² - 4x + 4 = - 3x + 6 ( subtract - 3x + 6 from both sides )
x² - x - 2 = 0 ← in standard form
(x - 2)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2 → G
x + 1 = 0 ⇒ x = - 1 → C
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
Answer:
[tex]x =5\sqrt 3[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
Find x
To do this, we make use of Pythagoras theorem
[tex]x^2 + 5^2 = 10^2[/tex]
Solve the exponents
[tex]x^2 + 25 = 100[/tex]
Collect like terms
[tex]x^2 =- 25 + 100[/tex]
[tex]x^2 =75[/tex]
Take square roots
[tex]x =\sqrt{75[/tex]
Expand
[tex]x =\sqrt{25*3[/tex]
Split
[tex]x =\sqrt{25}*\sqrt 3[/tex]
[tex]x =5\sqrt 3[/tex]
Sora paid $26.46 for 8.4 gallons of gasoline. How much was each gallon of gasoline?
$0.211
$0.315
$2.11
$3.15
Answer:
last one
Step-by-step explanation:
how to solve 3^8 times 3^2
Answer:
3072 that what I known as a 10th grader
if (P-3) is the largest of for odd number then the smallest is
A p-11
B p-9
C. p+3
D. p+5
ensalada no son vulgares
An investment of 100,000 AED increases at a rate of 16% per year. What is
the value of the investment after 20 years? Give your answer to 2 decimal
places
Answer:
1,946,075.95 AED
Step-by-step explanation:
Firstly, we write the general formula for an exponential increase as follows;
V(t) = A( 1 + r)^t
where V(t) is the value after some number of years t
A is the investment amount which is 100,000 AED
r is the rate of increase which is 16% = 16/100 = 0.16
t is the number of years which is 20
substituting these values;
V(20) = 100,000( 1 + 0.16)^20
V(20) = 100,000(1.16)^20
V(20) = 1,946,075.95 AED
does anyone know how to solve this?
Answer:
[tex]x=360[/tex]
Step-by-step explanation:
The inscribed angles theorem states that when given a circle, with an angle that has its vertex at the center of the circle, the measure of the angle is congruent to the measure of the arc surrounding it. One can apply this knowledge here by stating the following,
[tex]m<MON = MN\\[/tex]
Substitute,
[tex]x=2\pi[/tex]
However, this answer is in radians, it is the literal measurement. One must convert into degrees so that the answer fits the format of the question. The conversion rate to switch between radians and degrees is the following,
[tex]degree=\frac{\pi}{180}radians[/tex]
Substitute,
[tex]degree=\frac{180}{\pi}(x)\\\\degree=\frac{180}{\pi}(2\pi)\\[/tex]
Simplify,
[tex]degree=\frac{180*(2\pi)}{\pi}\\degree=360[/tex]
Answer:
x = 45°
Step-by-step explanation:
Given arc length = 2π cm
Radius, r = 8 cm
[tex]Arc \ Length = 2 \pi r (\frac{x}{360})[/tex]
[tex]2 \pi = 2 \pi \times 8 \frac{ x}{360}\\\\\frac{2 \pi}{16 \pi} = \frac{x }{ 360}\\\\\frac{1}{8} = \frac{x}{360}\\\\\frac{360}{8} = x\\\\x = 45^\circ[/tex]
pls help i will give brainliest
Answer:
XOC = 60
Step-by-step explanation:
AOC = DOB because they are vertical angles
AOX+XOC = 25+45
10+XOC = 70
XOC = 70-10
XOC = 60
worth 11 points and actually help me instead of taking the points plz
Answer:
C'(-1,1)
Step-by-step explanation:
The coordinates of C are (-2,4).
The translation is (x+1,y-3), so we take the x value -2 and the y value 4 and plug it in.
(-2+1,4-3)
=(-1,1)
C' has the coordinates (-1,1)
Answer:
Its ([-1],[1])Step-by-step explanation:
By (x+1, y-3), the trapezoid wll move 1 point to the right, and 3 points down.
2. The sum of k and 10 is 48
Answer:
k=38
Step-by-step explanation:
38+10=48
Which expressions are equivalent to 8(-10x+3.5y-7) Select two options
Negative 80 x + 24.5 y minus 56
Negative 80 x + 28 y minus 56
80 x + 28 y + 56
4 (negative 20 x + 7 y minus 14)
Negative 4 (negative 20 x + 7 y minus 14)
Answer:
Negative 80 x + 28 y minus 56
4 (negative 20 x + 7 y minus 14)
Pls help me with this!
Answer:
Your answer would be X ≥ -3
Step-by-step explanation:
The volume (v) of water stored in an open tank varies due to evaporation as v=x^4-50x^2+700 where v is expressed in gallons and x is number of months elapsed. If January correspond to x=0 what will the volume of water (in gallons) in the tank be in june
A.700
B.1200
C.75
D.100
Answer:
C) 75
Step-by-step explanation:
If January corresponds to x=0 then June corresponds to x=5.
Knowing this we can replace all values of x with 5.
[tex]v=x^4-50x^2+700[/tex]
[tex]v=5^4-50(5)^2+700[/tex]
[tex]v=625-1250+700[/tex]
[tex]v=75[/tex]
If the abscissa of a point is negative , then in which all quadrants the point can lies?
Answer:
The point can either lie on the second quadrant or the third quadrant
Step-by-step explanation:
Mathematically, we have the ordinate and the abscissa
The ordinate represents the y axis while the abscissa represents the x axis value
For the abscissa to be negative, it means we are talking about the negative x axis
Now, the y axis can either be positive or negative too
When it is positive , we are referring to the point lying on the second quadrant
when it is negative, we are referring to the point lying on the third quadrant
What is the first step in solving the quadratic equation -5x2+8=133
Answer:
subtracting 8 from both sides of the equation
Step-by-step explanation:
You have to get rid of +8 before squaring both sides.
