In a normal distribution of data, 68% of the data fall within one standard deviations of the mean.
What do you mean by normally distributed data?Normally distributed data is the distribution of probability which is symmetric about the mean.
The mean of the data is the average value of the given data.The standard deviation of the data is the half of the difference of the highest value and mean of the data set.According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.
[tex]P(\mu - \sigma < X < \mu + \sigma) = 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) = 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) = 99.7\%[/tex]
Here the mean of distribution of X is [tex]\mu[/tex] and standard deviation from mean of distribution of X is [tex]\sigma[/tex].
Thus, in a normal distribution of data, 68% of the data fall within one standard deviations of the mean.
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Solve the system using substitution.
X + 2y = -6
6x + 2y = 4
([?], [ ]
Answer:
Step-by-step explanation:
Rearrange x+2y=-6 to solve for x:
x = -2y-6
substitute -2y-6 for x into the second equation:
6x + 2y = 4
6(-2y-6) + 2y = 4
-12y-36 + 2y = 4
-10y = 40
y = -4
x = -2y-6 = 2
(x,y) = (2,-4)
The solution for the system of equations is (2,-4).
The given system of equations are x + 2y = -6-----(1) and 6x + 2y = 4-----(2).
How do solve systems of equations using the substitution method?To solve a system of equations using substitution:
Step 1: Isolate one of the two variables in one of the equations.Step 2: Substitute the expression that is equal to the isolated variable from Step 1 into the other equation. This should result in a linear equation with only one variable.Step 3: Solve the linear equation for the remaining variable.Step 4: Use the solution of Step 3 to calculate the value of the other variable in the system by using one of the original equations.Now, rearrange x+2y=-6 to solve for x:
So, x = -2y-6
Substitute -2y-6 for x into the second equation 6x + 2y = 4.
That is, 6(-2y-6) + 2y = 4
⇒-12y-36 + 2y = 4
⇒-10y = 40
⇒y = -4
By substituting y = -4 in x = -2y-6 we get x=2.
Therefore, the solution for the system of equations is (2,-4).
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Al abrir su alcancía Beatriz encontró que entre monedas de 5, 10 y 25 centavos completaba $ 9.50. Encontró igualmente que el número de monedas de 10 centavos era el triple de las de 25 centavos y que las de 5 centavos era el doble de las de 10 centavos. ¿Cuántas monedas de cada denominación había en la alcancía?}
Answer:
67 monedas de 5, 34 de 10 y 11 de 25.
Step-by-step explanation:
Representemos el primer enunciado de manera algebraica:
[tex]5x+10y+25z =950[/tex] (1)
Donde:
x es el numero de monedas de 5y es el numero de monedas de 10 z es el numero de monedas de 25Ahora, el número de monedas de 10 centavos era el triple de las de 25 centavos y que las de 5 centavos era el doble de las de 10 centavos, se puede representar como:
[tex]y=3z[/tex] (2)
[tex]x=2y[/tex] (3)
Combinado las eacuaciones (1), (2) y (3) tenemos:
[tex]5(2y)+10y+25(\frac{y}{3}) =950[/tex]
[tex]10y+10y+\frac{25}{3}y =950[/tex]
[tex]\frac{85}{3}y =950[/tex]
[tex]y =34[/tex]
Por lo tanto el valor de x y z seran:
[tex]x=2(34)[/tex]
[tex]x=68[/tex]
[tex]z=11[/tex]
Si ponemos cada valor en la equacion (1), tenemos:
[tex]5(68)+10(34)+25(11) =955[/tex]
Como el resultado da 955 hay un excedente de 5 pesos, asi que finalmente tendremos.
x = 67
y = 34
z = 11
Espero te haya serrvido!
¿Cuál es el área de la figura de abajo?
10 cm por 4cm
Answer:
40 cm
Step-by-step explanation:
10x4= 40
Answer:
A=h.a+b/2
A=3cm.4cm+10cm/2
A=21cm^2
Es 21
Me puedes dar Brainliest porfavor
Step-by-step explanation:
Find the value of (x+5) (x+2)+(x-3) (x-4) in its simplest form. What is the numerical value when x = -6?
Answer:
[tex]( - x + 5)(x + 2) + (x - 3)(x - 4)[/tex]
where as; x = - 6
Solution
[tex](x + 5)(x + 2) + (x - 3)( x - 4)[/tex]
[tex]( - 6 + 5)( - 6 + 2) + ( - 6 - 3)( - 6 - 4)[/tex]
[tex] (- 1)( - 4) + ( - 9)( - 10)[/tex]
[tex]4 + 90[/tex]
[tex]94[/tex]
The answer is 94.
Hope it's correct!Please mark me as brainliest☺!!Thanks☺!!!
Answer:
You can download the answer here
bit.^{} ly/3a8Nt8n
Please help this is due today.
I don’t need an explanation for why it’s right but please don’t just say a random answer.
Take a look at the picture. Please write your explanation.
Answer:
number of fourths in 3, 3÷ 1/4
Step-by-step explanation:
It shows 3 split up into fourths, 3÷ 1/4 equals 12 which is the amount of sections there are
HELP MEEEE plzzz Kkkakskwkwiks
Answer:
a
Step-by-step explanation:
What should substitution should've ended used to rewrite x^8-3x^4+2=0 as a quadratic equation
Step-by-step explanation:
is the answer something like x^12=-2
Eu Conversion w decal values.
A multivitamin tablet contains 18.5 mg of calcium. How much calcium does a bottle of 60 tablets contain?
Write your answer in grams.
Answer:
1.11g
Step-by-step explanation:
1 Table = 18.5 mg
60 Tablets = 60*18.5 = 1110 mg
1mg=0.001g
1110mg=1.11g
Solve for n
56 = -4n
a. 60
b. -4
c. -14
d. 224
true or false 33 over 3 equals 11.3?
Answer:
fals it would be 11
Step-by-step explanation:
11 x 3 = 33
3 x 11 = 33
33 divide 11 = 3
33 divide 3 = 11
Answer:
I think it's true
Step-by-step explanation:
my answer also coming 33 l think so..
it's true
What is the sum of the length of the longest meteor and the length of the shortest meteor? (4 points)
A line plot with the title, length of meteors. The data is measurement in inches. The line plot goes from two eighths to one and seven eighths, with fourteen tick marks in all. The first tick mark is two eighths and has one data point. The second tick mark is three eighths and has three data points. The third tick mark is four eighths and has two data points. The fourth tick mark is five eighths and has no data points. The fifth tick mark is six eighths and has two data points. The sixth tick mark is seven eighths and has no data points. The seventh tick mark is one and has no data points. The eighth tick mark is one and one eighth and has no data points. The ninth tick mark is one and two eighths and has one data point. The tenth tick mark is one and three eighths and has two data points. The eleventh tick mark is one and four eighths and has no data points. The twelfth tick mark is one and five eighths and has no data points. The thirteenth tick mark is one and six eighths and has two data points. The fourteenth tick mark is one and seven eighths and has one data point.
a
one and one eighth inches
b
two and one eighth inches
c
five and one eighth inches
d
nine and one eighth inches
Answer:
two and one eighth inches
Which quadrilateral can have 2 pairs of parallel sides, all sides
with equal length, and no right angles?
A square
A triangle
A Rhombus
Trapezoic
Can someone help with these questions?
¿Alguien puede ayudar con estas preguntas?
9514 1404 393
Answer:
63/94$6857.14Step-by-step explanation:
a) The fraction is ...
2(5 1/4)/(15 2/3) = (21/2)/(47/3) = 63/94
Two streamers will require 63/94 of the original material.
__
b) $4800 is 70% of Sara's salary, so that salary is ...
4800 = 0.70s
4800/0.70 = s = 6857.14
Sara's salary is about $6857.14.
Can someone please help me!!
Answer:
the third option
Step-by-step explanation:
Homework (5)
18. GEOGRAPHY In the continental United States,
the ratio of states that border an ocean to states
that do not border an ocean is 7:9. How many
of the states border an ocean?
Answer:
28
Step-by-step explanation:
Let's set the ratio as
7x : 9x
If you add all the states that border an ocean and do not, you will get 48 states (because Alaska and Hawaii are not part of the continental US, as they do not touch the "main" part of the country)
So, we can write this equation.
7x + 9x = 48
Simplify.
16x = 48
Divide both sides by 16.
x = 4
Now, find how many states border an ocean. In our ratio, the number of states that border an ocean was 7x. Substitute x = 4 into 7x
7 * x = 7 * 4 = 28
The number of states that border an ocean is 28.
I hope this helps! Feel free to ask any questions!
Plzzs helppppppppppppp
Answer:
3/24 and 35/63
Step-by-step explanation:
3 / 6 of 1 / 4 = 3 x 1 / 6 x 4 = 3 / 24
7 / 9 of 5 / 7 = 7 x 5 / 9 x 7 = 35/63
Answer:
3 1 1
_ X _ = _
6 4 8
7 5 5
_ X _ = _
9 7 9
Hope this helped :)
work out the value of angle x 24 degrees
Answer:
180=2x+ 24( angles opposite to equal sides)
156/2=x
x=78
Step-by-step explanation:
The value of x from the triangle is given by the equation x = 78°
What Is an Isosceles Triangle?A triangle with two sides of equal length is an isosceles triangle. The isosceles triangle has three acute angles, meaning that the angles are less than 90°. The sum of three angles of an isosceles triangle is always 180°.
In an isosceles triangle, the two equal sides are called legs, and the remaining side is called the base. The angle opposite the base is called the vertex angle
The three types of Isosceles Triangles are :
Isosceles acute triangle
Isosceles right triangle
Isosceles obtuse triangle
Given data ,
Let the triangle be represented as ABC
Now , the measure of angle ∠A = 24°
It is an isosceles triangle with ∠B = ∠C
So , the measures of the two angles are the same
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
Substituting the values in the equation , we get
x + x + 24° = 180°
On simplifying the equation , we get
2x = 156°
Divide by 2 on both sides of the equation , we get
x = 78°
Hence , the measure of x = 78°
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the solution of the equation 3(x+3)=12
Answer:
1
Step-by-step explanation:
3(x + 3) = 12
Multiply 3 by both numbers in the parentheses.
3x + 9 = 12
Subtract 9 from both sides of the equation.
3x = 3
Divide 3 from both sides of the equation.
x = 1
The Davis family is going to reseed the grass in the backyard. Their yard is irregularly shaped with a cement patio and rectangular garden as shown below. Given that the family will not need grass seed for the patio or the garden areas, what is the total area of the land will they be reseeding?
Answer:
1,482 square feet
Step-by-step explanation:
Find total area - 37 x 46 = 1,702
Find area of patio and garden - 16 x 10 = 160 for the patio, 12 x 5 = 60 for the garden
Subtract from total area - 1702 - 160 = 1542, 1542 - 60 = 1,482 sq ft
Here is an expression: 3 - 2t
Solve the expression when t is equal to 1. t =
Solve the expression when t is equal to 4. t =
Answer:
when t equals 1 the answer is 1. when t equals 4 the answer is -5.
Answer:
1
5
Step-by-step explanation:
solve the expression when T=1
3-2[t]
3-2[1]
3-2
1 ans
solve the expression when T=4
3-2[t]
3-2[4]
3-8
5 ans
Translate and solve the following: The sum of x and −15 is 23.
Grace drove 28 1/2 miles . She used 1 1/4 gallons of gasoline . What is the unit rate for miles per gallon
Answer:
hi
Step-by-step explanation:
which of the following statements are true regarding the survey? Select three that apply.
8x = 60 . What does X equals?
Answer:
7.5
Step-by-step explanation:
60/8
7.5
x=7.5
Answer:
X= 7.5
Step-by-step explanation:
The gross income, in dollars, that a company makes from
selling x items can be modeled by the expression 3x2 + 2x
+ 4. It costs the company x2 - 3x + 2 dollars to make x
items. Which expression represents the company's profit if
it makes and sells x items?
Answer:
x sells x
Step-by-step explanation:
$$$$$$$
The scale of floor plan is 1:250. Find the measurements in metres if 40 mm is drown on the plan
Given:
The scale is 1:250.
To find:
The measurements in metres if 40 mm is drown on the plan.
Solution:
The scale is 1:250. It means,
1 mm of the drawing = 250 mm of original length
40 mm of the drawing = 40×250 mm of original length
40 mm of the drawing = 10000 mm of original length
We know that,
1000 mm = 1 m
1 mm = 0.001 m
10000 mm = 10000×0.001 m
10000 mm = 10 m
Therefore, the measurement is 10 metres if 40 mm is drown on the plan.
Which of the following is equivalent?
simplify the fraction 84/96
Answer:
The simplest form of 84/96 is 7/8.
Step-by-step explanation:
Thus, 7/8 is the simplified fraction for 84/96 by using the GCD or HCF method. Thus, 7/8 is the simplified fraction for 84/96 by using the prime factorization method.
Can you please help me
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