PLEASE HELP! Find the coordinates of the vertices of the figure after the given transformation: T<2,3>
A. N′(−1,0),U′(1,5),L′(3,2),H′(1,−2)
B. N′(1,0),U′(3,5),L′(5,2),H′(3,−2)
C. N′(0,−2),U′(2,3),L′(4,0),H′(2,−4
D. N′(1,−1),U′(3,4),L′(5,1),H′(3,−3)
Answers
Answer:
The correct option is;
B. N'(1, 0), U'(3, 5), L'(5, 2), H'(3, -2)
Step-by-step explanation:
The coordinates of the pre-image are given as follows;
H(1, -5), N(-1, -3), U(1, 2), and L(3, -1)
The required transformation is T₍₂, ₃₎,which is a translation of (two) 2 units right and an additional translation of (three) 3 units up, which gives the coordinates of the image as follows;
N(-1, -3) transformed by N(-1 + 2, -3 + 3) [tex]\overset{T_{(2,\, 3)}}{\rightarrow}[/tex] N'(1, 0)
U(1, 2) transformed by U(1 + 2, 2 + 3) [tex]\overset{T_{(2,\, 3)}}{\rightarrow}[/tex] U'(3, 5)
L(3, -1) transformed by L(3 + 2, -1 + 3) [tex]\overset{T_{(2,\, 3)}}{\rightarrow}[/tex] L'(5, 2)
H(1, -5) transformed by H(1 + 2, -5 + 3) [tex]\overset{T_{(2,\, 3)}}{\rightarrow}[/tex] H'(3, -2)
The coordinates of the vertices of the given figure after the given transformation, T₍₂, ₃₎, are N'(1, 0), U'(3, 5), L'(5, 2), and H'(3, -2).
Therefore, the correct option is N'(1, 0), U'(3, 5), L'(5, 2), H'(3, -2).
Related Questions
A baker has three banana muffin recipes. Recipe AAA uses 333 bananas to make 121212 muffins. Recipe BBB uses 555 bananas to make 242424 muffins. Recipe CCC uses 111111 bananas to make 484848 muffins. Order the recipes by number of bananas per muffin from least to greatest.
Answers
Answer:
The order from least to greatest is B, A, C
Step-by-step explanation:
Given
Recipe A = 3 bananas to 12 Muffins
Recipe B = 5 bananas to 24 Muffins
Recipe C = 11 bananas to 48 Muffins
Required
Order the recipe from least to greatest
To solve this, we have to divide the number of bananas by number of muffins; this will give the unit banana per muffin
Recipe A: 3 bananas to 12 Muffins
[tex]A = \frac{3}{12}[/tex]
[tex]A = 0.25[/tex]
Recipe B: 5 bananas to 24 Muffins
[tex]B = \frac{5}{24}[/tex]
[tex]B = 0.2083[/tex]
Recipe C: 11 bananas to 48 Muffins
[tex]C = \frac{11}{48}[/tex]
[tex]C = 0.229167[/tex]
By comparison;
Recipe B (0.2083) is the smallest; followed by Recipe C (0.229167) then Recipe A (0.25)
Hence; the order from least to greatest is B, A, C
Answer:
its BCA
Step-by-step explanation:
solve this emergency i will mark you as brainliest
Answers
Answer:
3/8 cups.
Step-by-step explanation:
2 tablespoons of sugar = 1/16 * 2 = 1/8 cup of sugar.
1/2 cup = 4/8 cups.
So the extra sugar required = 4/8 - 1/8
= 3/8 cups.
Answer:
4) 3/8 cup
Step-by-step explanation:
1 table spoon = [tex]\frac{1}{16}[/tex] cup
2 table spoon = 2 * [tex]\frac{1}{16} = \frac{1}{8}[/tex] cup
Second recipe need (1/8) cup of sugar
First recipe need (1/2) cup of sugar
More amount of sugar need by first recipe= [tex]\frac{1}{2}-\frac{1}{8}[/tex]
[tex]=\frac{1*4}{2*4}-\frac{1}{8}\\\\\\=\frac{4}{8}-\frac{1}{8}\\\\=\frac{3}{8}[/tex]
If graphs have a linear equations in a system are concurrent having the same slope and the same y-intercept what does that mean about possible solutions
Answers
Answer:
Infinite Amount of Solutions
Step-by-step explanation:
Since we have concurrent systems (same slope + same y-int), we know that the systems of equations would be the exact same line. If that is the case, the we would know that ANY value input would work. You could even test it mathematically, and it would give you infinite amount of solutions.
Drag the labels to the correct locations on the table. Each label can be used more than once.
Match each function to all of the function types it belongs to.
Linear
Quadratic
Exponential
Polynomial
f(x) = 2x + 3
f(x) = x2 + 2x - 3
f(x) = 3* - 2
Answers
Answer:
Linear f(x) = 2·x + 3
Quadratic f(x) = x² + 2·x - 3
Exponential f(x) = 3ˣ - 2
Step-by-step explanation:
1) Linear function
The general form of the linear equation is of the form, f(x) = y = m·x + c
Where;
m = The slope
c = y-intercept (Constant)
The linear function is therefore, f(x) = 2·x + 3
2) Quadratic function
The general form of the quadratic function is f(x) = a·x² + b·x + c
Where;
a, and b are the coefficients of x² and x respectively and c is the constant term
Therefore, f(x) = x² + 2·x - 3, is a quadratic function, with a = 1, b = 2, and c = -3
3) Exponential function
The general form of the exponential function is f(x) = a·bˣ + k
Where;
a = The initial
b = The multiplier (growth or decay value)
k = vertical shift
Therefore, the function f(x) = 3ˣ - 2 is an exponential function with the initial = 1, b= 3, and k = -2
ASAP!!! PLEASE help me solve this question! No nonsense answers, and solve with full solutions.
Answers
Answer:
when two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°.
Step-by-step Explanation:
The relationship between an intercepted arc and an inscribed angle is given as:
the measure of the intercepted arc = twice the inscribed angle that intercepts it.
Also, by virtue of this, when two inscribed angles intercepts the same arc, both inscribed angles are said to be congruent. And the measure of both angles equal the measure of the arc they both intercept.
Therefore, if the measure of an arc, that is intercepted by 2 inscribed angles, is given as 75°, both inscribed angles equal 75° as well. Thus, each of the inscribed angles is half the measure of the intercepted arc.
Therefore, the statement that is true about inscribed angles is: "when two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°."
Find the Volume of the following shape.
Answers
Answer:
The trapezoidal prism's volume is [tex]312m^{2}[/tex]
Step-by-step explanation:
Step 1: Recognize the shape is a trapezoidal prism
Constructed from:
Trapezoids
Step 2: Solve the area of the shape
Area of Trapezoid = [tex](\frac{a+b}{2} h) =( \frac{5+8}{2} 4.8)=(\frac{13}{2} 4.8) = 31.2m^{2}[/tex]
Step 3: Multiple the area of the Trapezoid by the width
Area of Trapezoid x 10m = Area of Trapezoidal Prism
[tex](31.2m^{2} )(10m^{2} )= Volume\\312m^{3} =Volume[/tex]
A point P has coordinates (-8, -2). What are its new coordinates after reflecting point P across the x-axis?
Answers
Answer:
(-8,2)
Step-by-step explanation:
This is because when you reflect a point across the x-axis, the x-coordinate fo the point remains the same and the y-coordinate's sign gets switched.
(x,y) --> (x,-y)
(-8,-2) --> (-8,2)
If Eric can paint $3$ cars in $4$ hours and $2$ trucks in $5$ hours, then how long, in hours, would it take him to paint $4$ cars and a truck? Express your answer as a common fraction.
Answers
Answer:
47/6
Step-by-step explanation:
Given that :
Time taken to paint 3 cars = 4 hours
Time taken to paint 2 trucks = 5 hours
How long will it take him to paint 4 cars and a truck
If 3 cars = 4 hours ;
Then ;
1 car = (4/3)hours
If 2 trucks = 5 hours
Then;
1 truck = (5/2) hours = 2 1/2 hours
Time required To paint 4 cars :
4 × (4/3) = 16/3 hours
Time required to paint 1 truck :5/2 hours
Total time required :
(16/3 + 5/2) = (32 + 15) / 6 = 47/6
Hey, please help solve the question.
Answers
Answer:
75%=x-125
90%=x+250
subtract the second from the first
15%=375
100%=?
100%×375/15
100%=2500marked price is 2500
2500+250=2750
90%=2750
100%=?
cost price=3055.56
Sarah has $20 saved. She gets $10 per week for her allowance, and she saves her allowance for the next 3 weeks. At the end of the week, she gets $150 in birthday money. How much money will she have after the 3 weeks? Which of the following sets of equations represents this problem?
Answers
Answer:
$200
Step-by-step explanation:
We know that she already has $20. And we know that every week, for three weeks she gets $10.
20+3(10)+150=m
We add all of this up, and we find that at the end of 3 weeks Sarah has $200 saved.
Let n be the number of five-digit positive integers which are divisible by 36 and have their tens digit and unit digit equal. Find n/100
Answers
Answer:
1.) 10044
2.) 100.44
Step-by-step explanation:
Since n is a number of five-digit positive integers which are divisible by 36, start multiplying 36 by number. Starting from 278.
Five digits numbers start from multiplying 36 by 278. Any multiplication below 278 by 36 will give four digits numbers.
36 × 278 = 10,008
36 × 279 = 10,044
10,044 tens digit and unit digit equal. Therefore n = 10044
To find n/100, divide 10044 by 100
10044 / 100 = 100.44
Points C and D are on a number line (not shown).
The coordinate of point C is -16 and the coordi-
nate of point D is 14. Point E is a point on line
segment CD. If the distance from point E to point C
is 1
4
the distance from point E to point D, what is
the coordinate of point E?
Answers
Answer:
17
Step-by-step explanation:
nine hundred fifty-three thousand nine hundred two
Answers
Answer:
953 902
Step-by-step explanation:
Answer:
953,902
Step-by-step explanation:
nine hundred =900
fifty-three=53
thousand=1000
nine hundred=900
two=2
Pregunta N° 1: ¿Cuántas fracciones propias e irreductibles con denominador 24 existen? 1 punto A) 2 B) 4 C) 6 D) 8 E) 10 Pregunta N° 2: ¿Cuántas fracciones impropias e irreductibles con numerador 25 existen? 1 punto A) 19 B) 21 C) 25 D) 29 E) 33 Pregunta N° 3: La edad de Miguel es 4/5 de la edad de su novia. Si las edades de los dos suman 63 años, calcule la edad de la novia de Miguel. 1 punto A) 20 años B) 26 años C) 32 años D) 35 años E) 40 años Pregunta N° 4: Si son las 8 a. m., ¿qué fracción del día ha transcurrido? 1 punto A) 1 B) 2 C) 1/2 D) 1/3 E) 1/5
ayuden porfavor
Answers
Answer:
Pregunta 1: Opcion D. 8
Pregunta 2: Opción A. 19 (aunque lo correcto es decir que son 20)
Pregunta 3: 28 años (no está como opción)
Pregunta 4: Opción D. 1/3
Step-by-step explanation:
Las fracciones irreductibles son aquellas que después de dividirlas por un común divisor, una vez que no se pueden dividir más se dice que son irreducibles, por lo tanto no existe ningún número que sea divisor común del numerador y del denominador más que 1.
Fracciones irreductibles con común denominador 24.
Como máximo divisor tenemos el 24 y como mínimo el 1
entre 1/24 y 1 estarán nuestras fracciones o sea:
1/24 < x/24 < 1. Ahora convertimos el 1 en fracción de 24, lo que sería 24/24 para igualar el numerador en ambos lados de la ecuación, para poder determinar x
1/24 < x/24 < 24/24
Como vemos que x tiene que estar entre 1 y 24, las respuestas serán:
2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22 y 23
Eliminamos los números divisores de 24, aquellos pares, y nos focalizamos en los que no podriamos dividir por nada con 24, o sea los números primos
5, 7, 11, 13, 17, 19, 23. Como nos falta el 1, obtenemos un total de 8 fracciones: 1/24, 5/24, 7/24, 11/24, 13/24, 17/24, 19/24, 23/24
Mismo procedimiento para el 25:
1/25 es una de las fracciones irreductibles. Pensamos en los valores de x
1/25 < x/25 < 25/25
2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25
Los números divisibles por 25, son los multiplos de 5, asi que esas respuestas no irían. Las fracciones irreductibles son:
1/25, 2/25, 3/25, 4/25, 6/25, 7/25, 8/25, 9/25, 11/25, 12/25, 13/25, 14/25, 16/25, 17/25, 18/25, 19/25, 21/25, 22/25, 23/25 y 24/25 haciendo un total de
20. Por alguna razón está mal formulada la pregunta, son 20 pero no está como opción y como te piden fraccion impropia (numerador > denominador), contamos a partir de 26. FIjate que hasta el proximo entero que sería 50/25, también son 20 fracciones (irreductibles e impropias)
26/25, 27/25, 28/25, 29/25, 31/25, 32/25, 33/25, 34/25, 36/25, 37/25, 38/25, 39/25, 41/25, 42/25, 43/25, 44/25, 46/25, 47/25, 48/25, 49/25
Próxima pregunta:
Miguel tiene 4/5 de la edad de la novia, y ambas edades suman 63.
Plantiemos la siguiente ecuacion donde x es la edad de la novia
4/5x + x = 63
9/5x = 63
x = 63 . 5/9 (como 9/5 pasa al otro lado de la igualdad dividiendo, damos vuelta la fraccion multiplicandola)
x = 35
Si la novia tiene 35 años y la edad de Miguel es 4/5 de esa edad
4/5 .35 = (35 .4) /5 = 28
Es raro porque no está la respuesta como tal.
Próxima pregunta:
Al ser las 8 am, quiere decir que han pasado 8 horas de que empezó el día
y el día tiene 24 horas.
8 horas transcurridas / 24 horas totales = 1/3
Pls help me , idk how to do
Answers
Answer:
PQRS is a parallelogram with right-angle corners
Step-by-step explanation:
We know that the midsegment of a triangle is parallel to the base.
QR is the midsegment of triangle BCD, so is parallel to BD.
SP is the midsegment of triangle DAB, so is parallel to BD.
QR and SP are both parallel to BD, so are parallel to each other.
RS is the midsegment of triangle CAD, so is parallel to AC.
PQ is the midsegment of triangle ABC, so is parallel to AC.
RS and PQ are both parallel to AC, so are parallel to each other.
__
We have shown that opposite sides of PQRS are parallel to each other, so the figure is at least a parallelogram.
__
By virtue of the congruence of corresponding angles where a transversal crosses parallel lines, each of the so-far named lines can be shown to be perpendicular to any of the lines it meets.* Hence the figure PQRS must be a parallelogram with right angles, a rectangle.
_____
* Transversal BD crosses PQ, AC, and RS at right angles. Hence, transversals RS and PQ cross QR, BD, and SP at right angles. That is, the angles at corners P, Q, R, and S of the parallelogram are right angles.
como resuelvo esto y=1+2(4/5)
Answers
Answer:
Es 2.6
Step-by-step explanation:
Answer: translate
Step-by-step explanation:
F/4-5=-9 how do you do this problem
Answers
Answer:
F = -16
Step-by-step explanation:
F/4-5=-9
Add 5 to each side
F/4-5+5=-9+5
F/4=-4
Multiply each side by 4
F/4 *4=-4*4
F = -16
Consider the perfect square trinomial identity:
a2 + 2ab + b2 = (a + b)2.
For the polynomial x2 + 10x + 25,
and b =
a =
Answers
Answer:
a = x
b = 5
Step-by-step explanation:
for the polynomial x² + 10x + 25, b = 5 and a = x.
In the polynomial x² + 10x + 25, we can observe that the first term, x², is the square of x, and the last term, 25, is the square of 5. This suggests that the polynomial follows the perfect square trinomial identity.
The middle term, 10x, can be rewritten as 2ab, where a represents x and b represents a term that when squared equals the last term, 25.
In this case, b = 5, because 5² = 25.
To find a, we can take the square root of the first term, x². The square root of x² is x, so a = x.
Therefore, for the polynomial x² + 10x + 25, b = 5 and a = x.
Learn more about trinomial identity here
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ANSWER QUICKLY PLZZZZZZ ASAP
Answers
Answer:
number 4 on edge
Step-by-step explanation:
Answer:
a. 92 minutes b. 7:56am
Step-by-step explanation:
He should leave at 7:56 so he gets to the bus at 8:05,
he gets to Coventry at 9:37 with enough time to walk 12 minutes to get to work before 10am.
Does The TI-Nspire works just like the TI-84 ?
Answers
Answer:
TI-Nspire models automatically detect most points of interest such as x and y-intercepts, maximum values, and minimum values when you are in trace mode. TI-84 Plus models require you to use a series of left and right bounds and guesses to find those same values.
Coordinate plane with two lines graphed. The equations of the lines are y equals negative two-thirds x plus four and the other line is y equals two-thirds x. Determine the number of solutions the system of linear equations has and the solution(s) to the equations represented by these two lines? The system of equations has 0 solutions, because the graph has no point of intersection. The system of equations has infinite number of solutions and all real numbers satisfy both equations. The system of equations has 1 solution and it is (3, 2). The system of equations has 1 solution and it is (3, 0).
Answers
Answer:
Step-by-step explanation:
y = -2/3x + 4
y = 2/3x
2/3x = -2/3x + 4
4/3x = 4
4x = 12
x = 3
y = 2/3(3)
y = 2
(3,2) one solution
option 3
Duke wants to hire someone to re-tile his bathroom. The research he found for three local tilers is presented in the table below. He was able to find the average area of their tiling jobs and the time it took the tilers to complete the job.
Tiler Area Tiled
(square feet) Time
(hours:minutes)
Toni's Tiles 803 2:12
Bob's Bathrooms 1,460 4:00
Rhonda's Restroom Redos 753 1:30
Calculate the unit rate for each tiler above to determine if proportional relationships exist.
The rates at which Toni's Tiles and Bob's Bathrooms tile are ?
to one another.
The rates at which Toni's Tiles and Rhonda's Restroom Redos tile are ?
to one another.
The rates at which Bob's Bathrooms and Rhonda's Restroom Redos tile are ?
to one another.
Two items are in a proportional relationship if they ?
the same unit rate.
Answers
Answer:
Toni's Tiles and Bob's Bathrooms are in a proportional relationship as they have the same unit rate
Step-by-step explanation:
The given parameters are;
, Area Tiled (ft²) Time (Hr:min)
,
Toni's Tiles, 803 2:12
Bob's Bathrooms, 1,460 4:00
Rhonda's Restroom Redos 753 1:30
The unit rate for each tiler
Toni's Tiles = 803/2:12 = 803/(2×60 + 12) = 6.083 ft²/min
Bob's Bathrooms = 1460/(4×60) = 6.083 ft²/min
Rhonda's Restroom Redos = 753/(60 + 30) = 8.37 ft²/min
Therefore we have;
The rates at which Toni's Tiles and Bob's Bathrooms tile are to one another = 6.083 to 6.083 = 1:1
The rates at which Toni's Tiles and Rhonda's Restroom Redos tile are to one another = 73/12×30/251 = 365:502
The rate at which Bob's Bathrooms and Rhonda's Restroom Redos tile are to one another = 73/12×30/251 = 365:502
Therefore, Toni's Tiles and Bob's Bathrooms are in a proportional relationship as they have the same unit rate.
9 ÷ (-4 1/2) = L.
What is L.
Answers
Answer:
[tex]\huge\boxed{L = -2}[/tex]
Step-by-step explanation:
L = 9 ÷ [tex](-4 \frac{1}{2} )[/tex]
L = 9 ÷ [tex](-\frac{9}{2} )[/tex]
L = 9 × [tex](-\frac{2}{9} )[/tex]
L = 1× (-2)
L = -2
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\boxed {l = \frac{-18}{41} }[/tex]
[tex]\frac{\frac{9}{-41} }{2} = l[/tex]
Simplifies to:
[tex]\frac{-18}{41} = l[/tex]
Let's solve your equation step-by-step.
[tex]\frac{-18}{41} = l[/tex]
Step 1: Flip the equation.
[tex]l = \frac{-18}{41}[/tex]
So your answer would be : [tex]\boxed {l = \frac{-18}{41} }[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
You and your friend are playing a game. The two of you will continue to toss a coin until the sequence HH or TH shows up. If HH shows up first, you win. If TH shows up first, your friend wins. What is the probability of you winning?
Answers
Answer:
The probability of friend A winning with HH = 1/4.
Step-by-step explanation:
The probability of an event, A is P(A) given by the relationship;
P(A) = (The number of required outcome)/(The number of possible outcomes)
The parameters given are;
The condition of friend A winning = Coin toss sequence HH shows up
The condition of friend B winning = Coin toss sequence TH shows up
The number of possible outcomes = TT, TH, HH, HT = 4
(TH and HT are taken as different for the game to be fair)
The number of required outcome = HH = 1
Therefore;
The probability of friend A winning with HH = 1/4.
what is the value of x ?
Answers
Answer:
65dg.
Step-by-step explanation:
Triangles are 180dg.
So 68dg + 47dg = 115dg.
-180dg - 115dg = 65dg.
So the missing length is 65 degrees.
Answer: 65
Step-by-step explanation:
Add both of the numbers on there. Then do 180- that number.
68+47=115
180+115=65
This is because in a triangle all the angles together equal 180.
find the value of tan(arcsin(1/2))
Answers
Answer:
0.577
Step-by-step explanation:
inv. sin (0.5) = 30
tan (30) = 0.577
The value of Tan[tex](Sin^{-1}(1/2))[/tex] is 0.58.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
Tan[tex](Sin^{-1}(1/2))[/tex]
[ Sin 30° = 1/2 ]
= Tan([tex]sin^{-1}sin30)[/tex])
= Tan 30°
= 0.58
Thus,
0.58 is the value of Tan[tex](Sin^{-1}(1/2))[/tex] is 0.58.
Learn more about trigonometric identities here:
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20 points! I would really like some help! :) (Question attached below)
Answers
Answer:
See below.
Step-by-step explanation:
(a)
To multiply two polynomials, multiply every term of the first polynomial by every term of the second polynomial. Then combine like terms.
[tex] (\dfrac{1}{2}x - \dfrac{1}{4})(5x^2 - 2x + 6) = [/tex]
[tex] = \dfrac{1}{2}x \times 5x^2 - \dfrac{1}{2}x \times 2x + \dfrac{1}{2}x \times 6 - \dfrac{1}{4} \times 5x^2 + \dfrac{1}{4} \times 2x - \dfrac{1}{4} \times 6 [/tex]
[tex]= \dfrac{5}{2}x^3 - x^2 + 3x - \dfrac{5}{4}x^2 + \dfrac{1}{2}x - \dfrac{3}{2}[/tex]
[tex] = \dfrac{5}{2}x^3 - \dfrac{9}{4}x^2 + \dfrac{7}{2}x - \dfrac{3}{2} [/tex]
(b)
No. Since the binomials are different, the product of two different binomials and the same trinomial will give different results.
Find the median of the following frequency distribution
Answers
Answer:
3
Step-by-step explanation:
First right out all the data in numerical order from left to right.
2, 2, 2, 3, 4, 5, 7
The median is the middle number in the set. If there is an even amount of data points, find the average of the two middle numbers. If there is an odd number of data points, like in this data set, just take the middle number as you median.
There are 7 data points in this set so the fourth number in the set written in numerical order would be your median.
When writing this set out in numerical order, repeated numbers must be repeated, we find that the fourth, or middle, number is 3. Therefore, 3 is the median of this data set.
At a parking lot, the ratio of people to cars is 3 : 5. If there are 30 people, how many cars are there? *
Answers
Answer:
50 cars
Step-by-step explanation:
Let's define p as the number of people and c the number of cars.
We know that p / c = 3/5 or in other words, there are 5 cars every 3 people. If we have 30 people means that p = 30 which implies 30/c = 3/5 which implies c = 5/3 * 30 = 50.
Answer:
Step-by-step explanation:people=30=3/5
30/5=6*3=18
car=30=5/3
30/3=10
10*5=50
so there are 50 cars there
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
x = 22, y = 11[tex]\sqrt{3}[/tex]
x = 11, y = 22[tex]\sqrt{3}[/tex]
x = 22[tex]\sqrt{3}[/tex], y = 11
x = 11[tex]\sqrt{3}[/tex], y = 22
Answers
Answer:
D
Step-by-step explanation:
Since this is a right triangle, and we are given that one of the other angles is 30°, we have a 30°, 60°, 90° triangle.
In a 30°, 60°, 90° triangle, the side lengths are all related as shown below.
We should determine a first. a is the measure of the side opposite to the 30° angle. Thus:
[tex]a=11[/tex]
The side opposite to the 60° angle is given by a√3. Since a = 11, the side opposite to the 60° angle or x is:
[tex]x=(11)\sqrt{3}=11\sqrt3[/tex]
Finally, the hypotenuse will be 2a. Since a = 11, the hypotenuse or y will be:
[tex]y=2(11)=22[/tex]
Hence, x = 11√3 and y = 22.
Our answer is D.
