Answer:
B. Better measure of spread: the standard deviation
D. Better measure of center: the median
Step-by-step explanation:
The mean is the average of a data set.
The median value is best for measuring the center value because median measures the middle value of a set of data.
The IQR only measures the inner range of a data set.
The standard deviation is best for measuring the spread because standard deviation measures the spread of data distribution.
The area of a circle is increasing at a rate of 0.4 cm square per second. What is the rate of change of the circumference of the circle when its radius is 5cm?
Answer: 4π cm^2/minute
Step-by-step explanation:
Rate of change :
Change with respect to time (dr/dt)
dr/dt = 0.4cm^2/s
r = 5cm
The rate of change when the Radius is 5cm
Area / Circumference of a circle (A) = πr^2
From chain rule of differentiation:
dA/dt = (dr/dt) * (dA/dr)
If A = πr^2
dA/dr = 2πr
dA/dr = 2π * 5 = 10π
However,
dA/dt = (dr/dt) * (dA/dr)
dA/dt = (0.4) * (10π)
dA/dt = 4π cm^2/minute
ANSWER FAST A 10 ft long ladder has one end that leans against a wall and another that rests on the ground 6 feet from the wall. How high on the wall does the ladder rest?
Answer:
8 feet
Step-by-step explanation:
[tex]h = \sqrt{10^{2} - 6^{2} } = \sqrt{100 - 36} = \sqrt{64} = 8[/tex]
What is the simplified expression for
2^2 • 2^3 over
24
O 20
O 21
O 22
O 23
Answer:
(B)[tex]2^1[/tex]
Step-by-step explanation:
We are to simplify the given expression: [tex]\dfrac{2^2 \cdot 2^3}{2^4}[/tex]
Step 1: Apply the addition law of indices to simplify the numerator.
[tex]\text{Addition Law: }a^x \cdot a^y=a^{x+y}[/tex]
Therefore:
[tex]\dfrac{2^2 \cdot 2^3}{2^4} \\\\=\dfrac{2^{2+3}}{2^4}\\\\=\dfrac{2^5}{2^4}[/tex]
Step 2: Apply the Subtraction law of indices to simplify the expression
[tex]\text{Subtraction Law: }a^x \div a^y=a^{x-y}\\\\\implies \dfrac{2^5}{2^4} =2^{5-4}\\\\=2^1[/tex]
The correct option is B.
The length of a room is 9 metres. Its floor is tiled by using 96 square tiles of 0.75 m x 0.75 m each. What is the breadth of the room?
Answer:
The breadth of the room is 6 metres
Answer:
Step-by-step explanation:
Side of a tile= a = 0.75 m
Area of one square tile = a² = (0.75)² = 0.5625 m²
Area of 96 square tiles = 0.5625 * 96
Area of the room = area of 96 square tiles
length * breadth = 0.5625 * 96
9 * breadth = 0.5625 * 96
breadth = [tex]\frac{0.5625*96}{9}\\\\[/tex]
breadth = 6 m
x + 3y = 42
2x - y= 14
Answer:
x=12,y=10
Step-by-step explanation:
Step: Solve x+3y=42
x+3y=42
x+3y+−3y=42+−3y(Add -3y to both sides)
x=−3y+42
Step: Substitute−3y+42forxin2x−y=14:
2x−y=14
2(−3y+42)−y=14
−7y+84=14(Simplify both sides of the equation)
−7y+84+−84=14+−84(Add -84 to both sides)
−7y=−70
Divide both sides by -7
y=10
Step: Substitute10foryinx=−3y+42:
x=−3y+42
x=(−3)(10)+42
x=12(Simplify both sides of the equation)
Hope this Helps:)
-Ac<3-
Uma makes a scale drawing of a patio. The drawing below shows the two scales she used to plan two patios of different sizes.
Scale 1: 1 centimeter = 3 meters.
Scale 2: 1 centimeters = 4 meters.
Options
A)Scale 1: 45 m; Scale 2: 60 m
B)Scale 1: 60 m; Scale 2: 45 m
C)Scale 1: 36 m; Scale 2: 27 m
D)Scale 1: 27 m; Scale 2: 36 m
Answer:
Scale 1: 1 centimeter = 3 meters.
Scale 2: 1 centimeters = 4 meters.
Step-by-step explanation:
your answer should be A
15*3=45
15*4=60
Answer:
A.)Scale 1: 45 m; Scale 2: 60 m
Step-by-step explanation:
bcuz......uhhhhhhh, ummmmmm:/
Please help pleaseee give first person to answer brainlest A system of equations is shown below: Equation A: 3c = d − 8 Equation B: c = 4d + 8 Which of the following steps should be performed to eliminate variable d first? A : Multiply equation A by −4. B : Multiply equation B by 3. C : Multiply equation A by 3. D : Multiply equation B by 4.
Answer:
Multiply the first equation by -4
Step-by-step explanation:
Equation A: 3c = d − 8
Equation B: c = 4d + 8
We want to eliminate variable d
Multiply the first equation by -4
-4( 3c = d − 8)
-12c = -4d +32
Add this to the second equation
-12c = -4d +32
c = 4d + 8
================
-11c = 0d + 40
Answer:
A : Multiply equation A by −4
Step-by-step explanation:
3c = d - 8
Multiply the equation by -4.
-12c = -4d + 32
-12c = -4d + 32
c = 4d + 8
Add equations.
-11c = 0d + 40
-11c = 40
The d variable is eliminated.
Un lote con forma cuadrada tiene una superficie de LaTeX: \sqrt{\frac{4225}{16}\:\:\:\:m^2}\:\:\:\:\:. Si el dueño del lote quiere colocar 3 hileras de alambres alrededor del terreno, ¿cuantos metros necesitará?
Answer:
The owner needs 195 meters of wire
Step-by-step explanation:
If the lot is squared shaped, then its area is given by the formula:
[tex]Area =x^2[/tex]
where x is the side of the square. Then considering the value they provide for the surface, each side must be of length:
[tex]x^2=\frac{4225}{16} \,m^2\\x=\sqrt{\frac{4225}{16}} \,\,m\\x=16.25\,\,m[/tex]
Then the perimeter around this square lot is four times that side length:
Perimeter = 4 (16.25 m) = 65 m
and since the owner wants three rows of wire, the total length of wire needed is:
3 (65 m) = 195 m
can someone please help me
Answer:
3x^2 + 3/2 x -9
Step-by-step explanation:
f(x) = x/2 -3
g(x) =3x^2 +x -6
(f+g) (x) = x/2 -3 + 3x^2 +x -6
Combine like terms
= 3x^2 + x/2 +x -3-6
= 3x^2 + 3/2 x -9
2) w(x) =
18
-X +-
5'
5. Find w
ܚ ܝ
13
67
A)
B)
10
17
70
39
C)
D)
20
40
PLZ HELP ):
Answer:
sorry don't know what is ans
Answer:
Hi Mate!
plz don't scan the questions, it will be incorrect
(Math never got easier!) No seriously help:)
Answer:
Step-by-step explanation:
cosФ=0 then the angle=π/2=90 degrees
sinФ==1 sin 90=1
12) the original price of the console that Amanda bought :
240+(240*50%)=360 dollars
the price before the tariffs:
360-(360*50^)=180 dollars
If Camryan has 12 Tie fighters and Logan has 23 more than Camryan how many Tie fighters does Logan have.
Answer:
logan has 35 Tie fighters
Step-by-step explanation:
Camryan has 12
Logan has 23 more
23+12=35
hope i helped
-lvr
Write the equation of a circle with center (7, -12) and radius 9.
Answer:
( x-7)^2 + ( y+12) ^2 = 81
Step-by-step explanation:
The equation of a circle can be written in the form
( x-h)^2 + ( y-k) ^2 = r^2 where ( h,k) is the center and r is the radius
( x-7)^2 + ( y--12) ^2 = 9^2
( x-7)^2 + ( y+12) ^2 = 81
Answer:
(x - 7)² + (y + 12)² = 81
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r the radius
Here (h, k) = (7, - 12) and r = 9, thus
(x - 7)² + (y - (- 12))² = 9², that is
(x - 7)² + (y + 12)²= 81
A current of 2.5 A delivers 3.5 of charge
1 Ampere = 1 Coulomb of charge per second
2.5 A = 2.5 C of charge per second
Time to deliver 3.5 C of charge = (3.5 C) / (2.5 C / sec)
Time = (3.5 / 2.5) (C / C-sec)
Time = 1.4 sec
A current of 2.5 A delivers 3.5 C of charge in 1.4 seconds.
quadratic equation grade :9
10 points;)
Answer:
Step-by-step explanation:
put (x+2)/(x-2)=a
a-1/a=5/6
[tex]multiply~by~6a \\6a^2-6=5a\\6a^2-5a-6=0\\6a^2-9a+4a-6=0\\3a(2a-3)+2(2a-3)=0\\(2a-3)(3a+2)=0\\either 2a-3=0,a=3/2 \\\frac{x+2}{x-2} =\frac{3}{2} \\cross~multiply\\3x-6=2x+4\\3x-2x=4+6\\x=10\\[/tex]
[tex]or~3a+2=0\\a=-2/3\\\frac{x+2}{x-2} =-\frac{2}{3} \\3x+6=-2x+4\\3x+2x=4-6\\5x=-2\\x=-2/5[/tex]
2.
put (x+3)/x=a
a+1/a=4 1/4
[tex]a+\frac{1}{a} =\frac{17}{4} \\multiply~by~4a\\4a^2+4=17a\\4a^2-17a+4=0\\4a^2-16a-a+4=0\\4a(a-4)-1(a-4)=0\\(a-4)(4a-1)=0\\either~a-4=0,a=4\\\frac{x+3}{x} =4\\4x=x+3\\4x-x=3\\3x=3\\x=3/3=1\\or\\4a-1=0\\a=1/4\\\\\frac{x+4}{x} =\frac{1}{4} \\4x+16=x\\3x=-16\\x=-16/3[/tex]
how to do this question plz
Answer:
17.7 percent
Step-by-step explanation
You find the area of the trapezoid and rectangle. You divide the area of the trapezoid by the rectangle. then move the decimal 2 places to the right.
Hi There! Can someone please help me with this Maths Question as soon as possible. I will mark the brainliest. Write each calculation as a single power. a) 8^5 multiplied by 8^4 b) 3^11 multiplied by 3 c)9^3 multiplied by 9^7 multiplied by 9^6 d) 7^7 ÷ 7 e) 12^10 ÷ 12^5 f) (6^3)^6
I'll be using the following properties about exponents:
[tex]a^b \times a^c=a^{b+c}[/tex]
[tex]a^b \div a^c=a^{b-c}[/tex]
[tex](a^b)^c=a^{bc}[/tex]
where a, b, and c are some positive integers
Part a:
[tex]8^5 \times 8^4 = 8^{5+4}=8^9[/tex]
Part b:
[tex]3^{11} \times 3 = 3^{11} \times 3^{1} = 3^{11+1} = 3^{12}[/tex]
Part c:
[tex]9^3 \times 9^7 = 9^{3+7}=9^{10}[/tex]
Part d:
[tex]7^7 \div 7 = 7^7 \div 7^1 = 7^{7-1}=7^6[/tex]
Part e:
[tex]12^{10} \div 12^5 = 12^{10-5}=12^5[/tex]
Part f:
[tex](6^3)^6 = 6^{6 \times 3} = 6^{18}[/tex]
These should be all the answers. Let me know if you need any clarifications, thanks!
What is the inclination of a line through the points(5,14) and (9,18)
Answer:
The inclination of the through the points (5, 14) and (9, 18) is 45°
Step-by-step explanation:
The given point has coordinates (5, 14) and (9, 18)
To find the inclination, θ, of the line passing the two points, with point 1 having coordinates (x₁, y₁) and point 2, having coordinates (x₂, y₂), we have to look for the slope as follows;
The slope, m = Change in the y-coordinate ÷ Change in the x-coordinate
[tex]m = \dfrac{y_2 - y_1}{x_2-x_1}[/tex]
Where:
y₁ = The y-coordinate of point 1 = 14
x₁ = The x-coordinate of point 1 = 5
y₂ = The y-coordinate of point 2 = 18
x₂ = The x-coordinate of point 2 = 9
Substituting, we have;
[tex]m = \dfrac{18 - 14}{9-5} = \dfrac{4}{4} = 1[/tex]
The inclination of the line is the angle the line makes with x-axis
Since the slope gives the ratio of the opposite and adjacent segment to the angle of inclination, the arc-tangent of the slope will give the angle in degrees as follows;
[tex]tan^{-1}m = tan^{-1} \left (\dfrac{y_2 - y_1}{x_2-x_1} \right) = \theta[/tex]
given that m = 1, we have;
tan⁻¹(m) = θ = tan⁻¹(1) = 45°.
Help please thanks don’t know how to do this
Answer:
a = 11.71 ; b = 15.56
Step-by-step explanation:
For this problem, we need two things. The law of sines, and the sum of the interior angles of a triangle.
The law of sines is simply:
sin(A)/a = sin(B)/b = sin(C)/c
And the sum of interior angles of a triangle is 180.
45 + 110 + <C = 180
<C = 25
We can find the sides by simply applying the law of sines.
length b
7/sin(25) = b/sin(110)
b = 7sin(110)/sin(25)
b = 15.56
length a
7/sin(25) = a/sin(45)
a = 7sin(45)/sin(25)
a = 11.71
Factor the equation.
X2-15x+50=0
Answer:
(x - 10)(x - 5)
Step-by-step explanation:
Well to factor X^2-15x+50
we need to find 2 numbers that multiply to get 50 and add to get -15.
-5 * -10 = 50
-5 + -10
x*x = x^2
Factored (x - 10)(x - 5)
Hope this helps :)
Answer:
(x - 10)(x - 5)
Step-by-step explanation:
Step 1- Find 2 numbers that multiply to be 50.
10 × 5
-10 × -5
25 × 2
-25 × -2
All these multiply to get 50.
But the numbers must also add up to be -15.
Step 2- Find the 2 numbers that also add up to be -15.
10 + 5 = 15
-10 + -5 = -15
25 + 2 = 27
-25 + -2 = -27
The correct equation would be - 10 + -5
The 2 number you would use when you factor would be -10 and -5
Step 3- Write the equation
You can write the equation as (x - 10)(x - 5)
Or you can also write it as (x - 5)(x - 10)
what is the midpoint of the segment shown below (2 2) (3 5) a. (5/2, 7/2) b. (5, 7) c. (5/2, 7) d. (5, 7/2)
Answer:
[tex]( \frac{5}{2} \: , \frac{7}{2} )[/tex]Option A is the correct option.
Step-by-step explanation:
Let the points be A and B
A ( 2 , 2 ) ------> ( x1 , y1 )
B ( 3 , 5 ) -------> ( x2 , y2)
Now, let's find the mid-point :
Midpoint = [tex] (\frac{x1 + x2}{2} \:, \frac{y1 + y2}{2} )[/tex]
plug the values
[tex] = ( \frac{2 + 3}{2} \: , \frac{2 + 5}{2} )[/tex]
Calculate the sum
[tex] = \: ( \frac{5}{2} \:, \frac{7}{2} )[/tex]
Hope this helps..
Best regards!!
Express 15 degrees in Radian measure.
Answer:
Formula 15° × π/180 = 0.2618rad
0.261799
Step-by-step explanation:
Answer:
1 /12 pi
Step-by-step explanation:
To convert degrees to radians, multiply by pi/ 180
15 * pi/ 180
1 /12 pi
Multiply: (6x - 1)(6x +1)
Answer:
36x^2 -1
Step-by-step explanation:
6x times 6x= 36x^2
6x times 1= 6x
-1 times 6x= -6x
-1 times 1= -1
so, ...
36x^2+6x+(-6x)+(-1) = 36x^2 -1
the diagrams shows a right-angled triangle. find the size of angle x. give your answer correct to 1 decimal place.
Answer:
1. 40.8 degrees
2. 65.6 degrees
Step-by-step explanation:
1.
sin(x) = opposite / hypotenuse = 17/26
x = arcsin(17/26) = 40.83 degrees
2. tan(x) = opposite / adjacent = 11/5 = 2.2
x = arctan(11/5) = 65.56 degrees
what is the mean devuation of the following numbers
Answer:
hi pls do enter the no.s
Please Help! Two lines, A and B, are represented by the following equations: Line A: y = x − 1 Line B: y = −3x + 11 Which of the following options shows the solution to the system of equations and explains why? (3, 2), because the point does not lie on any axis (3, 2), because one of the lines passes through this point (3, 2), because the point lies between the two axes (3, 2), because both lines pass through this point
Answer:
The last choice (3,2), because both lines pass through this point.
Step-by-step explanation:
For a point to be a solution to a system of linear equations, both equation's lines have to pass through that same point.
Answer: (3, 2), because both lines pass through this point
Step-by-stepexplanation:
This can be solved by substitution. The graph will show the same result.
Directions: For
1.what is the square root
361
Answer:
√361=19
Step-by-step explanation:
5 (x+4)=35.please solve it for me
Answer:
3 = x
Step-by-step explanation:
5(x+4) = 35
distribute: 5x + 20 = 35
subtract 20 to both sides
15 = 5x
divide by 5 to make x independent
x=3
-2x-3=-9. What does x equal?
Answer:
x=3
Step-by-step explanation:
-2x-3=-9
Add 3 to each side
-2x-3+3=-9+3
-2x = -6
Divide by -2
-2x/-2 = -6/-2
x = 3
Answer:
x =3
Step-by-step explanation:
[tex]-2x-3=-9. \\ - 2x = - 9 + 3 \\ - 2x - 6 \\ \frac{ - 2x}{ - 2} = \frac{ - 6}{ - 2} [/tex]
[tex]x = 3[/tex]
The main triangular sail on a sailboat is 25 feet tall and 10 feet wide at the bottom. If the sides of another sail are proportional to the main sail, and the bottom of this sail is 8 feet wide, how tall is it?
Answer:
20 feetStep-by-step explanation:
Here,,
Sides of two sail are proportional.
Let the height be 'x'
Now,
[tex] \frac{a1}{b1} = \frac{a2}{b2} [/tex]
plug the values
[tex] \frac{25}{10} = \frac{x}{8} [/tex]
Apply cross product property
[tex]10x = 25 \times 8[/tex]
Multiply the numbers
[tex]10x = 200[/tex]
Divide both sides of the equation by 10
[tex] \frac{10x}{10} = \frac{200}{10} [/tex]
Calculate
[tex]x = 20 \: ft[/tex]
Hope this helps...
Best regards!!
Answer:
20
Step-by-step explanation: