Answer:
Average height = 64.2 inches
Step-by-step explanation:
[tex]Average = \frac{sum \ of \ the \ values }{number \ of\ value}[/tex]
[tex]=\frac{62 + 70 + 60 + 63 + 66}{5}\\\\=\frac{321}{5}\\\\=64.2 \ inches[/tex]
The average of the given heights is 64.2 inches
What is an average?
An average of a list of data is the expression of the central value of a set of data. It is defined as the ratio of summation of all the data to the number of units present in the list.
According to the given problem,
Given data = { 62, 70, 60, 63, 66 }
Sum of the given heights = ( 62 + 70 + 60 + 63 + 66 )
= 321
Average = [tex]\frac{321}{5}[/tex]
= 64.2 inches
Hence, we can conclude, the average of the given data is 64.2 inches.
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In a village of 1210 people, the ratio of men to women is 6: 5. Find the number of men and women.
Answer:
Men = 660
Women = 550
Step-by-step explanation:
Say the total number of people = x = 1210
Then men = 6/11 x = 660
And women = 5/11x = 550
I really don't understand this.
Answer:
parang wla po yung answer
Step-by-step explanation:
Triangles J K L and X Y Z are shown. The length of side J is 3, the length of side K is 6, and the length of side L is 4. The length of side X is 4, the length of side Y is 4, and the length of side Z is 5.
Classify each of the triangles as acute, obtuse, or right.
Triangle JKL is
triangle.
Triangle XYZ is
triangle.
Answer:
The answer is below
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are acute, scalene, obtuse, equilateral, isosceles and right angled triangle.
For a right angled triangle, the square of the longest side (hypotenuse) is equal to the sum of the square of the remaining two sides.
For an obtuse triangle, the square of the longest side is greater than the sum of the square of the remaining two sides.
For an acute triangle, the square of the longest side is less than the sum of the square of the remaining two sides.
In triangle JKL:
J² + L² = 3² + 4² = 25
K² = 6² = 36 > 25 (J² + L²)
Hence triangle JKL is an obtuse triangle
In triangle XYZ:
X² + Y² = 4² + 4² = 32
Z² = 5² = 25 < 32 (X² + Y²)
Hence triangle XYZ is an acute triangle.
Answer:
obtuse & acute
Step-by-step explanation:
X 3 + 3 x 2 − x + 2 x 2 + 6 x − 2. Which expression is equivalent to this product after it has been fully simplified? x3 + 5x2 + 5x – 2 x3 + 2x2 + 8x – 2 x3 + 11x2 – 2 x3 + 10x2 – 2
Answer:
[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 9x^4+ 15x^3 + 2x^2 + 10x -4[/tex]
Step-by-step explanation:
Given
[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2)[/tex]
Required
The equivalent expression
We have:
[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2)[/tex]
Open bracket
[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 6x^4 - 2x^3 + 3x^4 + 18x^3 - 6x^2 -x^3 + 6x^2 - 2x + 2x^2 + 12x -4[/tex]
Collect like terms
[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 6x^4 + 3x^4- 2x^3 -x^3 + 18x^3 - 6x^2 + 6x^2 + 2x^2- 2x + 12x -4[/tex]
Evaluate like terms
[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 9x^4+ 15x^3 + 2x^2 + 10x -4[/tex]
how many eggs are 5 dozen
Answer:
A dozen is 12.
12*5 = 60 eggs
5 dozen eggs are equal to 60 eggs.
A dozen is a unit of measurement equal to 12 items. So, 5 dozen is equivalent to 5 times 12, which gives us a total of 60 items.
When referring to eggs, the term "dozen" is commonly used to represent a quantity of eggs. In this case, if we have 5 dozen eggs, it means we have 5 sets of 12 eggs each.
To calculate the total number of eggs, we multiply the number of dozens (5) by the number of eggs in a dozen (12):
5 dozen x 12 eggs/dozen = 60 eggs
Therefore, 5 dozen eggs are equal to 60 eggs. This means that if you have 5 sets of 12 eggs, you would have a total of 60 eggs.
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Please help me solve my problem!!!
Someone help me please
Answer:
x
Step-by-step explanation:
Tiles
4V3
332
233
375
Pairs
324
1
V48
1 1 1
354
745
Given:
The expressions are:
[tex]\sqrt[3]{24},\sqrt{48},\sqrt[3]{54},\sqrt{45}[/tex]
To find:
The simplified form of each expression.
Solution:
We have,
[tex]\sqrt[3]{24}[/tex]
It can be written as:
[tex]\sqrt[3]{24}=\sqrt[3]{2\times 2\times 2\times 3}[/tex]
[tex]\sqrt[3]{24}=2\sqrt[3]{3}[/tex]
Similarly,
[tex]\sqrt{48}=\sqrt{2\times 2\times 2\times 2\times 3}[/tex]
[tex]\sqrt{48}=(2\times 2)\sqrt{3}[/tex]
[tex]\sqrt{48}=4\sqrt{3}[/tex]
And,
[tex]\sqrt[3]{54}=\sqrt[3]{2\times 3\times 3\times 3}[/tex]
[tex]\sqrt[3]{54}=3\sqrt[3]{2}[/tex]
In the same way,
[tex]\sqrt{45}=\sqrt{3\times 3\times 5}[/tex]
[tex]\sqrt{45}=3\sqrt{5}[/tex]
Therefore, the required pairs are:
[tex]\sqrt[3]{24}\to 2\sqrt[3]{3}[/tex]
[tex]\sqrt{48}\to 4\sqrt{3}[/tex]
[tex]\sqrt[3]{54}\to 3\sqrt[3]{2}[/tex]
[tex]\sqrt{45}\to 3\sqrt{5}[/tex]
HELP PLEASE! 50 points
Answer:
D. 270°Step-by-step explanation:
mADC = 360° - m∠AOCmADC = 360° - 90° = 270°Correct choice is D
Answer:
D. 270°
Step-by-step explanation:
Suppose you are in fort Simpson, northwest territories. Find the GST on each item. a) a digital camera that costs $89.97 b) a cordless phone that costs $24.97 c) a soccer ball that costs $17.99
Answer:
Step-by-step explanation:
j
Which theorem would be used to write 15x + 12 + 117 = 180 in the diagram below?
a. Alternate Interior Angles Theorem
b. Corresponding Angles Theorem
c. Consecutive Exterior Angles Theorem
d. Vertical Angles Theorem
Answer:
C. Consecutive Exterior Angles Theorem states that if the transversal passes through the two parallel lines then any two exterior angles are congruent
Answer:
B
Step-by-step explanation:
Which term best describes a major arc of a circle that has the same starting
and ending point?
A. Diameter
B. Chord
O
C. Radius
D. Circumference
Answer:
Circumference! it's the major arc whose starting and ending point coincide.
Marlon withdrew $25 from his savings account every week for 5 weeks. Which expression is the best choice to help him determine the total amount of money he withdrew?
What are the five key points that you need to find for any given set of numbers in order to draw a Box plot for the data. Write the answer. Help
The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile.
Kevin buys the items listed below at a grocery store. 3 packages of chicken priced at $12.36 per package 12 pound of broccoli priced at $1.98 per pound 1 gallon of milk priced at $6.48 per gallon There is no sales tax on the food she buys. Susan pays for the items and receives $0.45 in change. What amount of money does Kevin use to pay for the items?
Answer:
67.77$ Kevin use to pays for the items.
Step-by-step explanation:
According To the Question, We have
Kevin buys the item listed below at a grocery store
3 Packages of chicken priced 12.36$ per package = 12.36×3=37.08$12 Pound of Broccoli Priced 1.98$ per pound = 1.98×12 = 23.76$1 gallon of milk priced 6.48$ per gallon = 6.48×1 = 6.48$Now, Kevin Pays for the items and receives 0.45$ in Change.
Amount of Money Kevin Pays
6.48$+23.76$+37.08$+0.45$ = 67.77$
What is the value of h in the figure below? In this diagram,
BAD - CBD
Answer:
Option D
Step-by-step explanation:
By using geometric mean theorem in the given right triangle ABC,
[tex]\frac{AD}{BD}= \frac{BD}{DC}[/tex]
BD² = AD × DC
h² = (AC - CD) × DC
h² = (25 - 16) × 16
h² = 9 × 16
h = [tex]\sqrt{144}[/tex]
h = 12
Therefore, measure of side h = 12 units.
Option D will be the correct option.
Answer:
12 is correct via a p e x
Choose an equation of a line through the point (1,-1) parallel to y=−3x+4.
Answer:
y=-3x-1(4+1) I hoped this helped if not I am sorry I did the BPEMDAS
Determine whether the triangles are congruent. Explain your reasoning .
SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)
Answer:
Step-by-step explanation:
First use the fact that the sum of interior angles of a triangle is 180° to find the measure of the missing angle
in ΔDEF we have 180 -68 -81 = 31°
in ΔABC we have 180 -68 -33 = 79°
the measure of the angles in ΔABC and ΔDEF are different 33°, 68°, 79° ≠81°, 68°, 31°so the two triangles are not congruent.
Point A is a representation of which number on the number line?
Can someone explain how to do this?
Answer:
x = 32°
Step-by-step explanation:
The two angles form a straight line, so therefore they are supplementary.
The sum of supplementary angles always equal 180°, so we know that:
(3x - 4) + (3x - 8) = 180°
Now you have the equation, solve for x.
3x - 4 + 3x - 8 = 180°
6x - 12 = 180°
6x = 192°
x = 32°
Answer:
3x-4+3x-8=180
3x+3x=180+4+8
6x=192
x=32
check: 3(32)-4+3(32)-8=180
In a pie chart the central angle in degrees at the center of the circle is a) 180 b) 360 c) 270 d) 90
Answer:
(b) 360 degrees
Step-by-step explanation:
Required
The central angle
The central [tex]angle[/tex] of a circle is [tex]360^o[/tex]. This implies that the central [tex]angle[/tex]of the pie chart is also [tex]360^o[/tex], because a pie chart is always in [tex]form[/tex] of a [tex]circle.[/tex]
Which of the following is a polynomial?
How many mLs are in 1300mG
Answer:
1.3 mL
Step-by-step explanation:
1 mg = 0.001 mL
1300 mg * 0.001 mL/mg = 1.3 mL
64, –48, 36, –27, ...
Which formula can be used to describe the sequence?
f(x + 1) = Three-fourthsf(x)
f(x + 1) = Negative three-fourthsf(x)
f(x) = Three-fourthsf(x + 1)
f(x) = Negative three-fourthsf(x + 1)
Answer:
f(x + 1) = -(3/4)*f(x)
(second option)
Step-by-step explanation:
Here we have the sequence:
64, -48, 36, -27, ...
First, we can notice two things:
Each term has a different sign than the previous term, so the relation is something like:
f(x + 1) = -k*f(x)
Now to find the value of k, we can just replace some of the values (for example, the first and the second one)
-48 = -k*64
48/64 = k
3/4 = k
Now, if we use any pair of consecutive terms we should get the same value of k, now let's try to use the second and third terms to see if we get the same value of k:
36 = -k*(-48)
36 = k*48
36/48 = k
3/4 = k
We got the same value, so we can conclude that k = (3/4)
Then the relation that describes this sequence is:
f(x + 1) = -(3/4)*f(x)
Answer:
a
Step-by-step explanation:
-3x+20+7x=80 what is x? and how do I get it?
Answer:
x = 15
Step-by-step explanation:
-3x+20+7x=80
Combine like terms
4x+20 = 80
Subtract 20 from each side
4x+20 -20 = 80-20
4x = 60
Divide by 4
4x/4 = 60/4
x = 15
Question 4 of 10 Based only on the information given in the diagram, it is guaranteed that A ABC - AXYZ. 3 Y Z O A. True B. False
Answer: True
Step-by-step explanation:
We know in every triangle all the angles add up to 180 so for triangle ABC if you add the 52 to the 90 you’ll find the answer to be 142 if you subtract this then from 180 you’ll find 38 to be your answer
Therefore if you add the 38 the 52 and the 90 you’ll get 180
Based only on the information given in the diagram, it is guaranteed that Δ ABC ≅ Δ XYZ. It is true that Δ ABC ≅ Δ XYZ. Option A is correct.
What are the conditions of the congruent triangle?Triangles that are equivalent in terms of size and form are known as congruent triangles.
It is certain that XYZ gave simply the facts in the diagram, traingle ABC, and XYZ is similar. It is true that triangles XYZ and ABC are similar.
The angle of triangles ABC and XYZ is;
∠A= 180° -(90+52) = 38°
∠B= 90°
∠C=38°
∠X=38°
∠Y=90°
∠Z=180° -(90+38°) = 52°
∠B =∠Y=90°
Based only on the information given in the diagram, it is guaranteed that Δ ABC ≅ Δ XYZ. It is true that Δ ABC ≅ Δ XYZ.
Hence, option A is correct.
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Observe los datos de la siguiente tabla y resuelva. x -2 -1 0 1 2 3 y 1 3 5 7 9 11
Answer:
y = 2*x + 5
Step-by-step explanation:
En este problema tenemos los datos de una tabla, y supongo que queremos encontrar la funcion que esta siendo representada por esta tabla.
La tabla es:
x: -2 -1 0 1 2 3
y: 1 3 5 7 9 11
Esto parece ser una relación linear, las cuales se escriben como:
y = a*x + b
Donde a es la pendiente y b es la ordenada.
Si sabemos que la linea pasa por los puntos (x₁, y₁) y (x₂, y₂), entonces la pendiente será:
a = (y₂ - y₁)/(x₂ - x₁)
Entonces lo primero que debemos chequear es si utilizando distintos puntos de esa tabla obtenemos la misma pendiente, lo que significaría que los datos de la tabla se corresponden con una relación linear.
SI usamos los primeros dos puntos de la tabla, que son (-2, 1) y (-1, 3) la pendiente es:
a = (3 - 1)/(-1 - (-2)) = 2/1 = 2
Ahora si utilizamos por ejemplo el segundo y tercero, que son (-1, 3) y (0, 5) entonces la pendiente es:
a = (5 - 3)/(0 - (-1)) = 2/1 = 2
Ya vimos que para dos pares de puntos distintos la pendiente es igual a 2, entonces podemos concluir que la ecuación va a ser algo como:
y = 2*x + b
Para encontrar el valor de b, podemos usar cualquiera de los puntos de la tabla.
Si usamos el segundo punto, (-1, 3)
esto significa que cuando x = -1, tenemos y = 3
Si reemplazamos esos dos valores en la ecuación de arriba, obtenemos:
3 = 2*-1 + b
3 = -2 + b
3 + 2 = b
5 = b
Entonces la ecuación es:
y = 2*x + 5
13. Which equation represents the line that passes through the point (4,-5) and is
perpendicular to y = 1/2x + 8?
Answer:
y = - 2x + 3
Step-by-step explanation:
since the line passing through ( 4, - 5 ) is perpendicular to y = 1/2 x + 8, product of the slope of the lines will be - 1.
That is ,
[tex]m_1 \times m_ 2 = - 1[/tex] [tex][ \ where \ m_ 1 = \frac{1}{2} \ ][/tex]
[tex]\frac{1}{2 } \times m_2 = - 1 \\\\m_ 2 = -1 \times 2 = -2[/tex]
Find the equation the line perpendicular to the given line :
[tex]( y - y_2 ) = m_ 2 ( x - x_ 2 ) \ , [ \ where \ (x_2 , y_2 ) = ( 4 , -5 ) \ ][/tex]
[tex]( y - ( -5)) = -2 ( x - 4)\\\\( y + 5 ) = - 2 x + 8\\\\y = -2x + 8 - 5 \\\\y = -2x + 3[/tex]
What is the answer to this question?
Answer:
32
Step-by-step explanation:
[tex]g(13) = 16 \\ f(16) = 32[/tex]
if f(x)=8x which is the following is the inverse of f(x)
Answer:my=8x
To find the inverse, flip the x and y variables and then solve for y.
x=8y
x/8=8y/8
x/8=y
Final answer: f^-1(x)=x/8
