Respuesta:
Media = 6
Mediana = 6
Modo = 6
Desviación media = 1
Desviación estándar = 1.317
Explicación paso a paso:
Dados los datos:
5, 5, 8, 4, 6, 6, 7, 5, 6, 7, 4, 8, 6, 5, 6, 8
Datos reorganizados: 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8
La media: Σx / n = 96/16 = 6
El modo, = 6 (valor más alto que ocurre en los datos, valor de datos con la frecuencia más alta)
La mediana = 1/2 (n + 1) ésimo término
Mediana = 1/2 (17) término = 8.5 th término = (6 + 6) / 2 = 6
La desviación media = Σ (x - media) / n
Usando la calculadora, la desviación media = 1
La desviación estándar = √ (Σ (x - media) ² / n-1)
Desviación estándar = 1.317
Someone plz help me!
Answer:
56.25 cm
Step-by-step explanation:
your teacher wrote the approach already : the law of sines.
in our example we have
sin(28)/27 = sin(102)/c
c×sin(28)/27 = sin(102)
c×sin(28) = 27×sin(102)
c = 27×sin(102)/sin(28) = 27×0.98/0.47 = 56.25 cm
Which of the following is not a possible value for a probability? (A p e x)
A. 0.001
B. 1/16
C. 0.82
D. 5/4
David gasta el 20% de su salario en el pago de los servicios básicos de su casa del resto gasta el 50% en alimentación si al final se queda con 2000 Córdoba cuanto gana David
Answer:
Gana 6666,67 Córdoba de los cuales
gasta 3333,33 en alimentos y 1333,33 en servicios.
Step-by-step explanation:
Se queda 2000 Córdoba
Gasta el 20% de su salario para pagar los servicios básicos de su casa.
Gasta el 50% de su salario en comida.
Suponga que gana x cantidad
luego
x = 0,2x + 0,5x + 2000
x = 0,7x + 2000
x-0,7x = 2000
0,3 veces = 2000
x = 2000 / 0,3
x = 6666,67
Gana 6666,67 Córdoba de los cuales
gasta 3333,33 en alimentos y 1333,33 en servicios.
He keeps 2000 Córdoba
He spends 20% of his salary to pay for the basic services of his hous.
He spends 50% of his salary to pay on food.
Suppose he earns x amount
then
x= 0.2x+0.5x+2000
x= 0.7x+2000
x-0.7x=2000
0.3x= 2000
x= 2000/0.3
x= 6666.67
English
He earns 6666.67 Córdoba out of which
he spends 3333.33 on food and 1333.33 on services .
Find the area of the shaded region
Answer:
Area of the shades region = 244.6 ft²
Step-by-step explanation:
Area of the shaded region = Area of the rectangle ABCD- Area of the right angle triangle DEC
Area of the rectangle = Length × width
= 29.8 × 13
= 387.4 ft²
By applying Pythagoras theorem in the right triangle DEC,
(Hypotenuse)² = (leg 1)² + (leg 2)²
CD² = DE² + EC²
(29.8)² = DE² + (28)²
888.04 = DE² + 784
DE² = 888.04 - 784
DE = 10.2 ft
Area of ΔDEC = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(10.2)(28)[/tex]
= 142.8 ft²
Area of the shades region = 387.4 - 142.8
= 244.6 ft²
What is the solution set of the equation
x + 6 = 2(x + 3) - x?
Answer:
x = all real numbers
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
x + 6 = 2(x + 3) - x
Step 2: Solve for x
[Addition Property of Equality] Add x on both sides: 2x + 6 = 2(x + 3)[Distributive Property] Distribute 2: 2x + 6 = 2x + 6Here we see that both sides are identical.
∴ our solution is all real numbers.
Which input value produces the same output value for the two functions on the graph?
x = –3
x = –1
x = 1
x = 3
Answer:
X=3
Step-by-step explanation:
We have two linear functions which intersect at a point. Linear functions are lines which are made of points that satisfy the function or relationship. This means at the intersection, this point (3,-1), both functions have values. An input of x=3 produces y=-1 in both functions.
In a class of students, the following data table summarizes how many students have a
brother or a sister. What is the probability that a student chosen randomly from the
class does not have a sister?
Has a brother Does not have a brother
Has a sister
3
12
Does not have a sister
2.
Answer:
Step-by-step explanation:
First we need to calculate how many total students there are. Once we have the total we have to divide the number in the category that we want by the total number of students to calculate the probability of randomly getting a student in that category.
Total Students = 3 + 12 + 2 + 7 = 24 students
Probabilities:
does not have a sister = [tex]\frac{2 + 7}{24}[/tex] = 0.375 or 37.5% (multiply decimal by 100 to get percentage.
Has a brother = [tex]\frac{3 + 2}{24}[/tex] = 0.208 or 20.8%
Does not have a brother = [tex]\frac{12 + 7}{24}[/tex] = 0.7916 or 79.2%
Has a sister = [tex]\frac{3 + 12}{24}[/tex] = 0.625 or 62.5%
Sum of two numbers is 5/22. If one of the number is 2/11, then the other number is
Answer:
1/22
Step-by-step explanation:
2/11 = 4/22 therefore 4/22 + x = 5/22 and 5/22 - 4/22 = 1/22
[tex]\huge\bold{Given :}[/tex]
✎ Sum of two numbers = [tex] \frac{5}{22} [/tex]
✎ One of the number = [tex] \frac{2}{11} [/tex]
[tex]\huge\bold{To\:find :}[/tex]
✿ The other number.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\blue{The \:other \:number \:is }[/tex] [tex] \frac{1}{22} [/tex]. ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
❥ Let the other number be [tex]x[/tex].
❥ As per the question, we have
[tex]sum \: of \: the \: two \: numbers = \frac{5}{22} \\ \\ ⇢ \frac{2}{11} + x = \frac{5}{22} \\ \\⇢ x = \frac{5}{22} - \frac{2}{11} \\ \\ ⇢ x = \frac{5}{22} - \frac{2 \times 2}{11 \times 2} \\ \\⇢ x = \frac{5 - 4}{22} \\ \\ ⇢ x = \frac{1}{22} [/tex]
[tex]\sf\purple{Therefore,\:the\:other\:number\:is}[/tex] [tex] \frac{1}{22} [/tex].
[tex]\huge\bold{To\:verify :}[/tex]
[tex] \frac{2}{11} + \frac{1}{22} = \frac{5}{22} \\ \\➪ \: \frac{2 \times 2}{11 \times 2} + \frac{1}{22} = \frac{5}{22} \\ \\ ➪ \: \frac{4 + 1}{22} = \frac{5}{22} \\ ➪ \: \frac{5}{22} = \frac{5}{22} \\ \\ ➪ \: L. H. S. = R. H. S[/tex]
Hence verified. ✔
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
pleaseee fast help me......................prove that the valueof x obtained by sloving 7^x+1/7^x=49*1/49 also satisfy 2^x-2^2=2^-2-2^-x
Find all the missing elements:
40°
120°
8
C = [?]º a = [ ] c = [ ]
Answer:
C=20° a=10.8 c= 4.3
Step-by-step explanation:
first we need to find the value of angle C by subtracting the sum of angle A and B from 180°.
to find c and a we need to use sin rule which states that sinB/b=sinA/a=sinC/c respectively
6/120 is close to 0, 1/2 or 1
Answer:
0
Step-by-step explanation:
duh
I need fast
How many pieces ,each of length 3 ¾ m can be cut from a rope of length 30m?
Answer:
8
Step-by-step explanation:
Divide 30 by 3.75 to get 8.
Hope that this helps!
The national park has a new kiosk which visitors pass through as they enter the park. The kiosk is in the shape of a cylinder with a diameter of 5 meters and a height of 3 meters and a conical roof that measures 2 meters in height. What is the volume of the kiosk? Round your answer to the nearest cubic meter
Answer:
The volume of the kiosk is 72 m³.
Step-by-step explanation:
The volume of the kiosk is given by the sum of the volume of a cylinder ([tex]V_{cy}[/tex]) and the volume of a cone ([tex]V_{c}[/tex]):
[tex] V = V_{cy} + V_{c} = \pi r^{2}h_{cy} + \frac{1}{3}\pi r^{2}h_{c} [/tex]
Where:
r: is the radius of the cylinder and the cone = d/2 = 5/2 = 2.5 m
d: is the diameter = 5 m
[tex]h_{cy}[/tex]: is the height of the cylinder = 3 m
[tex]h_{c}[/tex]: is the height of the cone = 2 m
Hence, the volume is:
[tex] V = \pi (2.5 m)^{2}(3 m + \frac{1}{3}*2 m) = 72 m^{3} [/tex]
Therefore, the volume of the kiosk is 72 m³.
I hope it helps you!
A debt payment of $5,500 is due in 27 months. If money is
worth 8.4% p.a. compounded quarterly, what is the equivalent
payment? Now? 15 months? 27 months? 36 months?
Step-by-step explanation:
A=P(1+0.084) ^n;
=5500(1
The payment now is $4561.7450, 15 months later $5061.28, 27 months later $5500.00595 and 36 months later $5853.83.
Interest rate = 8.4/4 =2.1% = 0.021 every 3 months
The debt of $5500 is due in 27 months.
What is the formula to find compound interest?The formula to find the compound interest is [tex]FV=PV(1+r)^{n}[/tex].
Now, [tex]PV=FV(1+r)^{-n}[/tex].
The payment now:
5500*(1.021)^-9 = $4561.7450
So if $5500 is due in 27 months its current value is $4561.7450.
( b) 15 months from now? 5 quarters
FV(15months)= 4561.75*1.021^5
4561.75*1.021^5 = $5061.28
(c) 27 months from now? 9 quarters
FV(15 months)= $5500 that was given in the question
Verification:
FV(27months)=4561.75*1.021^9
4561.75*1.021^9 = $5500.00595
(d) 36 months from now? 12 quarters
FV(36months)=4561.75*1.021^12
4561.75*1.021^12 = $5853.83
Therefore, the payment now is $4561.7450, 15 months later $5061.28, 27 months later $5500.00595 and 36 months later $5853.83.
To learn more about compound interest visit:
https://brainly.com/question/14295570.
#SPJ2
65• 45• work out the size of angle
Answer:
x = 70
Step-by-step explanation:
The sum of the angles of a triangle add to 180
65+45+x = 180
Combine like terms
110+x = 180
Subtract 110 from each side
x = 180-110
x = 70
Please, help!! Those are the steps that I have so far.
need help asapppp!!! plz i will give brainliest to the person with the correct answer
Answer:
Multiply x by 4 and make x negative if it's positive or make x positive if it's negative.
Step-by-step explanation:
Multiplying x by a number greater than 1 will stretch the parabola.
Changing x from positive to negative and vice versa reflects the parabola over the x-axis.
HELP PLEASE!!!! SHOW WORK!!!
7) Kristof wants to build a new rectangular pen for Sven to live in. Kristof measures and finds that the width of the fence is 3x + 4. He also knows that he wants the length of the fence to be 4 times the width.
a) Create an expression that could be used to find the perimeter of the fence.
b) If Kristof knows that the perimeter of the fence is 280 feet, what is the length and width of the fence?
Answer: 5
Step-by-step explanation:
WWhat is the difference of the polynomials?
(–2x3y2 + 4x2y3 – 3xy4) – (6x4y – 5x2y3 – y5)hat is the difference of the polynomials?
The polygons are similar, but not necessarily drawn to scale. Find the value of x.
220
27.5
110
15.8
Answer:
x = 27.5
Step-by-step explanation:
x/55 = 4/8 (ratio between the two polygons); cross multiply.
220 = 8x; divide 8 on both sides
x = 27.5
help me pleaseee asap
Answer:
I think the answer is the blue box
angle I and N are complementary. If angle N has a meause of 48 degrees, find the measure of angle I
Answer:
42°
Step-by-step explanation:
Complementary angles are two angles that add up to 90°
1) 90-48 = 42
Hope this helps! :)
Answer:
angle I = 42 degree
Step-by-step explanation:
In complementary angles sum of two angles ia always 90 degree.
angle I +angle N=90 degree (since they are complementary)
substitute the value of angle N
angle I + 48 = 90
angle I = 90 -48
angle I =42 degree
PLS HELP ME IM RLLY STUCK I WILL GIVE BRAINLIEST
Check the picture below.
Connor needs to buy 430 orange balloons for a party. The orange balloons are sold in packs of 6. If he buys the smallest possible number of packs, how many balloons will be left over?
Answer:
2 balloons.
Step-by-step explanation:
6x = 430
x = 71.6
He has to buy 72 packs, there will be:
72 * 6 = 432 - 430 = 2 balloons left.
2
Use the Pythagorean Theorem (a + b² = c) to find the missing side length.
Answer:
21.4
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2} \\13^{2} + 17^{2} = c^{2} \\169+ 289 = \sqrt{c^{2} } \\\sqrt{458} = \sqrt{c^{2} } \\21.4 = c[/tex]
[tex]\huge\bold{Given:}[/tex]
Length of the base "b" = 17 yd.
Length of the perpendicular "a" = 13 yd. [tex]\huge\bold{To\:find:}[/tex]
The length of the missing side, hypotenuse ("c").
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\boxed{C.\:21.4\:yd}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
Using Pythagoras theorem, we have
[tex]({perpendicular})^{2} + ({base})^{2} = ({hypotenuse})^{2} \\ \\⇢( {13 \: yd})^{2} + ( {17 \: yd})^{2} = {c}^{2} \\ \\⇢ {c}^{2} = 169 \: {yd}^{2} + 289 \: {yd}^{2} \\ \\⇢c = \sqrt{458 \: {yd}^{2} } \\ \\⇢c = 21.40 \: yd[/tex]
[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:missing\:side\:"c"\:is\:21.4\:yd.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex]( {13 \: yd})^{2} + ( {17 \: yd})^{2} = {21.4 \: {yd}^{2} }\\ \\ ⇝169 \: {yd}^{2} + 289 \: {yd}^{2} = 457.96 \: {yd}^{2} \\ \\⇝458 \: {yd}^{2} = \: 458\: {yd}^{2} \\\\⇝ L.H.S.=R. H. S[/tex]
Hence verified. ✔
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
Please help me with this asap.
Answer:
80
Step-by-step explanation:
10*8=80
Answer:
Step-by-step explanation:
to find height use pythagoras theorem
height be x
a^2+b^2=c^2
x^2+8^2=10^2
x^2+64=100
xx^2=100-64
x^2=36
x=[tex]\sqrt{36[/tex]
x=6
area of the triangle =base*height/2
=8*6/2
=48/2
=24 square units.
Find the circumference for the following circle. use 22/7 for pi.
A.86.6 m
B.33 m
C.8.4 m
D.16.5 m
Answer:
D.16.5m
because circumference=21/7×5.25
=16.5m
Help,anyone can help me do quetion
Answer:
B2--> the answer is 121 degrees.This is because due to alternate interior angles, the triangle
Find the equation of a line with slope - 5 passing through the point A(-3, 6).
Answer:
y=5x-9
Step-by-step explanation:
-5(-3)+b=6
15+b=6
B=-9
simplify ,without using a calculator(2 1/2)2 + (0.5)2
Answer:
22
Step-by-step explanation:
Step-by-step explanation:
2 1/2 × 2
=5/2 × 2
=5
(0.5)2
=0.5×2
=1
5+1
=6