Answer:
93.7% of the lifetimes are within 3.8 standard deviations of the mean
Step-by-step explanation:
Generally Chebyshev's Theorem, can be mathematically represented as
[tex]1 - \frac{1}{k^2}[/tex]%
The percentage of these lifetimes that are within k=3.8 standard deviations of the mean is mathematically evaluated using Chebyshev's Theorem as follows
[tex]1 - \frac{1}{k^2}[/tex]% [tex]= (1 - \frac{1}{3.8^2} )[/tex]% = [tex]= 93.07[/tex]%
So from the above calculation we see that 93.7% of the lifetimes are within 3.8 standard deviations of the mean
Solve for x 5 x − 1 = 6 x − 9
Answer:
The value of x in this equation is 8.
Step-by-step explanation:
5x - 1 = 6x - 9
Subtract 6x on both sides.
-x - 1 = -9
Add 1 to both sides.
-x = -8
Divide by -1 on both sides.
x = 8
Los datos siguientes corresponden a los tiempos de reacción de una muestra de 33 sujetos, medidos en centésimas de segundo(Inventar los dos últimos datos, reemplazando las x por un número): 55, 51, 60, 56, 64, 56, 63, 63, 61, 57, 62, 50, 49, 70, 72, 54, 48, 53, 58, 66, 68, 45, 74, 65, 58, 61, 62, 59, 64, 57, 63, xx, xx. 1. Calcular los cuartiles de los 33 sujetos 2. Calcular el decil 5 y el decil 7 3. Calcular el percentil 13 y el percentil 76
Responder:
Compruebe amablemente la explicación
Explicación paso a paso:
Dados los datos: 55, 51, 60, 56, 64, 56, 63, 63, 61, 57, 62, 50, 49, 70, 72, 54, 48, 53, 58, 66, 68, 45, 74, 65, 58, 61, 62, 59, 64, 57, 63, xx, xx
Los dos valores faltantes podrían ingresarse utilizando varios métodos, incluyendo la mediana, modal y el valor medio de los datos dados en la distribución.
Aquí usaremos el valor medio.
Media (m) de los datos = suma de la observación / número de observaciones Media =
(55 + 51 + 60 + 56 + 64 + 56 + 63 + 63 + 61 + 57 + 62 + 50 + 49 + 70 + 72 + 54 + 48 + 53 + 58 + 66 + 68 + 45 + 74 + 65 + 58 + 61 + 62 + 59 + 64 + 57 + 63) / 31 = 1844/31 = 59.4 = 59 (al número entero más cercano) Entonces reemplace los valores faltantes con 59.
En otro para hacer cálculos sobre los datos, hay que reorganizarlos.
Datos ordenados: 45,48,49,50,51,53,54,55,56,56,57,57,58,58,59,59,59,60,61,61,62,62,63,63,63, 64,64,65,66,68,70,72,74
Los cuartiles de datos:
Primer cuartil (Q1) = 1/4 (33 + 1) = 1/4 (34) = 8.5
Q1 = (8º + 9º) / 2 = (55 + 56) = 111/2 = 55,5
Segundo cuartil (Q2) = Q3 - Q1 = (25.5 - 8.5) = 17th = 59
Tercer cuartil (Q3) = 3/4 (33 + 1) = 3/4 (34) = 25.5 Q3 = (25 + 26) = (63 + 64) = 127/2 = 63.5
Rango intercuartil (IQR) = 63.5 - 55.5 = 8
Mediana = Q2 = 59
Mínimo = 45
Máximo = 74
Rango = 74-45 = 29
El quinto decil:
D5 = [5 (33 +1)] / 10 = 5 (34) / 10
D5 = 170/10 = 17º valor = 59
7mo decil: D7 = [7 (33 + 1)] / 10 = 7 (34) / 10
D7 = 238/10 = 23.8 ° término D7 = 63
Percentil:
Percentil 13 (13% × 33) = 0.13 × 33 = 4.29
4to término = 50
Percentil 76: (76% × 33) = 0.76 × 33 = 25.08
25 ° término = 63
PLEASE ANSWER THIS GEOMETRY QUESTIONS ASAP FOR ME PLEASE!!
Answer:
x = 12.5
Step-by-step explanation:
Since measure of 4th arc is not given (measure of 3 arcs have been given), we will apply the following theorem.
By the intersecting chords theorem,
"If two chords intersecting inside a circle, measure of the angle between these chords will measure the half the sum of measures of arcs intercepted by the angle and its vertical angle."
Here intercepted arcs are (2x)° and 155°. Angel between the chords measure 90°.
By the theorem,
90° = [tex]\frac{1}{2}(2x + 155)[/tex]°
180° = (2x + 155)°
2x = 180 - 155
2x = 25
x = 12.5
Which of these equations have no solution? Check all that apply.
0 26x + 2) + 2 =2(x+3)+1
0 2x + 3(x+5)= 5(x-3)
4x + 3) = x + 12
4 - (2x + 5) = {(-4x - 2)
5(x + 4) - X= 4(x + 5) - 1
Answer:
B and E
Step-by-step explanation:
(26x+2)+2=2(x+3)+1 - solution = 1/8
2x+3(x+5)=5(x-3) - NO SOLUTION
4x+3=x+12 - solution = 3
4 - (2x + 5) = {(-4x - 2) - solution = -1/2
5(x + 4) - X= 4(x + 5) - 1 - NO SOLUTION
Inga can earn $375 per week in a plant store, or she can earn 3% of total sales. How much would Inga have to sell to earn more in commission than in salary?
Answer:
Inga will have to sell $12,533 to earn more in commission than in salary.
Step-by-step explanation:
As the commission is the percentage of sales amount so, need to calculate the minimum sales value required.
Igna's salary = $375
Commission rate = 3%
Sale to earn more than salary = $376 / 3% = $12,533.33
Igna has to make a minimum sale of $12,533 per week in order to earn more commission than her salary.
Please answer this in two minutes
Answer:
WX = 7.9
Step-by-step explanation:
By applying tangent rule (law of tan) in the given right triangle WXY.
tan(W) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(27)° = [tex]\frac{\text{XY}}{\text{WX}}[/tex]
0.509525 = [tex]\frac{4}{\text{WX}}[/tex]
WX = [tex]\frac{4}{0.509525}[/tex]
WX = 7.85
WX ≈ 7.9
Therefore, length of side WX is 7.9 units.
Which values for e have the same reference angles?
Hey there! :)
Answer:
Choice 4: π/4, 3π4, 7π/4
Step-by-step explanation:
For the values of θ to have the same reference angles, the denominators of the radians must be the same. Therefore:
Choice 1: π/6, π/3, 5π/6 - incorrect. π/3 will have a different reference angle as it has a denominator of 3.
Choice 2: π/3, 5π/6, 4π/3 - incorrect. 5π/6 will have a different reference angle as it has a denominator of 6.
Choice 3: π/2, 5π/4, 7π/4 - incorrect. π/2 will have a different reference angle.
Choice 4: π/4, 3π4, 7π/4 - correct. All of these radians contain the same denominator, and will each have the same reference angles of π/4.
What is the slope of the line represented by the equation y = 5 x – 3?
0-3
4
o
5
tln m
O 3
Answer:
the slope is 5
Step-by-step explanation:
y = 5 x – 3
This equation is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
the slope is 5 and the y intercept is -3
Answer:
The Slope is 5
Step-by-step explanation:
As seen in the y-intercept equation, 5x is shown as the slope of the line.
An arrow on a spinner is spun 250 times. Some of the results are shown below. The relative frequency of landing on a 4 is the same as the relative frequency of landing on a 5 Work out the relative frequency of landing on a 4
Answer:
11/50
Step-by-step explanation:
The frequency numbers for landing on 1, 2, and 3 are:
25, 53, 62.
We add them up to get: 25 + 53 + 62 = 140
Since 250 spins were made, and 140 of them landed on 1, 2, or 3, then
250 - 140 = 110,
so 110 landed on 4 or 5.
We are told the numbers of spins landing on 4 and 5 are equal, so
110/2 = 55,
so the spinner landed 55 times on 4 and 55 times on 5.
relative frequency = 55/250 = 11/50
A tank is 4 feet long, 6 feet wide and 10 feet
tall. How much water can that tank hold?
Answer:
Volume = 240 feet³
Step-by-step explanation:
We'll find it's volume
Volume = [tex]Lenth *Width*Height[/tex]
Where Length = 4, Width = 6, Height = 10
Volume = 4 * 6 * 10
Volume = 240 feet³
pls answer asap i need this answer quick plus the full explanation #8
Joseph and Isabelle left Omyra’s house at the same time. Joseph jogged north at 8 kilometers per hour, while Isabelle rode her bike west at 12 kilometers per hour. Omyra tried to figure out how far apart they were after 1.5 hours. Her work is shown below. Which statements describe her errors? Check all that apply.
A. She did not find the full distance each traveled in 1.5 hours. She should have used 12 km for Joseph’s distance and 8 km for Isabelle’s distance.
B. She did not square the 12 in the problem. She should have used 12 squared = 144.
C. She did not evaluate 8 squared correctly. She should have used 8 squared = 8 (2) = 16.
D. She did not evaluate StartRoot 88 EndRoot correctly. She should have used StartRoot 88 EndRoot almost-equals 44.
E. She should not have taken the square root of each side when solving. She should have just divided each side by 2.
F. She should not have added the squares in the first step. She should have used 12 squared minus 8 squared = d squared.
Answer:
A and B
Step-by-step explanation:
A) because what Omyra found is the distance for an hour and what she should have found is the distance for an hour and a half.
B) because the pythagorean theorem is a^2+b^2=c^2. The legs of an triangle should always be squared before being added.
Answer:
For this case the distance will be given by:
d ^ 2 = (12 * 1.5) ^ 2 + (8 * 1.5) ^ 2
Rewriting we have:
d ^ 2 = (18) ^ 2 + (12) ^ 2
d ^ 2 = 324 + 144
d ^ 2 = 468
d = root (468)
d = 21.63 Km
Answer:
1) She did not find the full distance each traveled in 1.5 hours.
2) She should have used 12 km for Joseph's distance and 18 km for Isabelle's distance.
Step-by-step explanation:
x-5=11-3x solve for x
Answer:
4
Step-by-step explanation:
x-5=11-3x
+5 +5
x=16-3x
+3x +3x
4x=16
--- ----
4 4
//x= 4//
// have a great day //
What the answer question now
[tex] < or \: [/tex]
i am not so sure
helpppp the whole question is in the picture
Answer:
y=-1/4(x+3)²+3
Step-by-step explanation:
Answer and explanation:
We khow that the standard form of a parabola is written this way:
ax^2 + bx +c
It can be factored if it has roots
◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇
In the graph we notice that the parabola has two x-intercepts wich means two roots
Let p and q be the roots
The equation can be written as:
a (x-p) (x-q)
We can khow the value of p and q from the graph
The parabola crosses the x-axis in -6,25 and 0.5
So the equation is:
Y=a(x-0.5) (x+6.25)
a is missing but we can find it
□□□□□□□□□□□□□□□□□□
Replace x and y bu the coordinates of a point in the parabola
Let's take (-3;3)
3= a (3-0.5) (3+ 6.5)
3 =a* 2.5* 9.5
a= 3/(2.5*9.5) = 0.12
So the equation is :
y= 0.12(x-0.5)(x+6.5)
y= (0.12x-0.6)(x+6.5)
y= 0,12x^2 + 0.78x -0.6x- 3.9
y= 0.12x^2 +0.18x-3.9
Divide by 3 to simplify :
y= 0.4x^2+0.6x-1.3
Multiply by 10 to get rid of the decimal numbers
y= 4x^2 + 6x -13
What percent of the players finished the walk in less than 2 hours? Show your work.
What is the probability that two randomly chosen players completed the walk in 2.9 hours or more? Show your work.
What is the probability that four randomly chosen players completed the walk between 1.7 and 2.9 hours? Show your work.
What observations can you make about the number of participants who complete the walk in more than 3.5 hours, given that there are 1,200 participants?
What might you observe if the number of participants increased or decreased?
Answer:
I also need the same help :(((
Step-by-step explanation:
1. The percentage of the players who finished the walk in less than 2 hours will be 2.28%
2. The probability that two randomly chosen players completed the walk in 2.9 hours or more was 15.87%
3. The probability that four randomly chosen players completed the walk was between 1.7 and 2.9 hours 84%
4. The number of participants who complete the walk in more than 3.5 hours, given that there are 1,200 participants 0
5. if the number of participants increased, the probability would increase while if they decreased, the probability would decrease
What is Z-score?The z score is a measure used in probability to determine the number of standard deviations the raw score is above or below the mean, it is given by the equation:
[tex]Z=\dfrac{x-\mu}{\sigma}[/tex]
Given that:
the mean μ = 2.6 hours and a standard deviation(σ) of 0.3 hours.
[tex]Z=\dfrac{x-\mu}{\sigma}[/tex]
1) What percent of the players finished the walk in less than 2 hours.
To calculate this, we use x as 2 hours and then find the z score.
[tex]Z=\dfrac{x-\mu}{\sigma}=\dfrac{2-2.6}{0.3}=-2[/tex]
From the normal probability distribution table, P(x < 2) = P(z < -2) = 0.0228 = 2.28%
2) What is the probability that two randomly chosen players completed the walk in 2.9 hours or more
To calculate this, we use x as 2.9 hours and then find the z score.
[tex]Z=\dfrac{x-\mu}{\sigma}=\dfrac{2.9-2.6}{0.3}=1[/tex]
From the normal probability distribution table, P(x > 2.9) = P(z > 1) = 1-P(z<1) = 1 - 0.8413 = 0.1587
3. What is the probability that four randomly chosen players completed the walk between 1.7 and 2.9 hours
To calculate this, we first use x as 1.7 hours and then find the z score.
[tex]Z=\dfrac{x-\mu}{\sigma}=\dfrac{1.7-2.6}{0.3}=-3[/tex]
For x as 2.9 hours and then find the z score.
[tex]Z=\dfrac{x-\mu}{\sigma}=\dfrac{2.9-2.6}{0.3}=1[/tex]
From the normal probability distribution table, P(1.7 < x < 2.9) = P(-3 < z < 1) = P(z<1) - P(z < -3) = 0.8413 - 0.0013 = 0.84
4. What observations can you make about the number of participants who complete the walk in more than 3.5 hours, given that there are 1,200 participants?
To calculate this, we use x as 3.5 hours, a number of samples (n) = 1200, and then find the z score.
[tex]Z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}=\dfrac{3.5-2.6}{\dfrac{0.3}{\sqrt{1200}}}=104[/tex]
From the normal probability distribution table, P(x > 3.5) = P(z > 104) = 1-P(z<104) = 1 - 1 = 0
5. What might you observe if the number of participants increased or decreased?
if the number of participants increased, the probability would increase while if they decreased, the probability would decrease
To know more about Z-scores follow
https://brainly.com/question/25638875
helpzies again lollll
Answer:
2nd Graph
Step-by-step explanation:
If it's a direct proportional relationship, the the 2nd graph is your best choice. Usually renting stuff keeps increasing in price (like a linear graph) as businesses want to make money continuously. Besides, it's charged by the hour, with an increase of price proportional to the amount of hours, so it is a linear equation.
what is the measure of ∠x
Answer:
see below
Step-by-step explanation:
If we look at ∠CBA and ∠BAE, we notice that they must be supplementary because they are same side interior angles, therefore:
41 + 102 + x = 180
143 + x = 180
x = 37°
Answer:
x = 37°
Step-by-step explanation:
→ First, we need to remember 2 important angle facts
Angles in a triangle add up to 180°Alternate angles are equal→ The first thing we want to do is find BCA because it's alternate to CAE or angle x, so let's set up an equation
BCA + 41° + 102° = 180°
→ Add the whole number together
BCA + 143° = 180°
→ Minus 143° from both sides to isolate BCA
BCA = 37°
→ Using the second angle fact, that alternate angles are equal, we can confirm that angle 'x' and angle BCA are alternate therefore equal
x = 37°
Please answer this question fast in two minutes
Answer:
4
Step-by-step explanation:
Angle 2 and angle 4 are vertically opposite angles.
Vertically opposite angles are equal.
Answer:
the angle that is congruent to <2 is <4.
Step-by-step explanation:
They are vertical angles, therefore congruent
HURRY I NEED HELP PLEASE IM STUCK! :(
Answer:
0.6 then calculate which expression is equal to that
Step-by-step explanation:
arccos = cos^-1
Put that in calculator
a square has a perimeter of 36cm2. what is the area of it?
Answer: 81
Step-by-step explanation:
We know that to find the area of a square you have to square the side length.
So since we know that he area is 36 cm square, then we will find the square root of 36.
36/4= 9 Now we know that the side length is 9 and a square has four sides which are all equal. The perimeter is the distance around the shape.
So just multiply 9 by 9 to find the area
9*9 = 81
Which expression is equivalent to
Answer:
Option 2) [tex]x^{\frac{1}{8}}y^8[/tex]
Step-by-step explanation:
=> [tex](x^{\frac{1}{4} } y ^{16} )^\frac{1}{2}[/tex]
=> [tex]x^{\frac{1}{4} * \frac{1}{2} } * y ^{16*\frac{1}{2} }[/tex]
=> [tex]x^{\frac{1}{8}}y^8[/tex]
Which of the following choices translates the sentence “the difference of three times a number and 20 is 13”?
Answer:
3x - 20 = 13
Step-by-step explanation:
1. The word is signals the equal sign.
The difference of three times a number and 20 = 13
2. The word difference signals subtraction.
3. The phrase a number sigals that the number is unknown, so a variable should be used. In this case, I'll use x.
4. Three times that number = 3x.
The difference = subtraction.
3x-20=13
Answer: the number is 11
3 times a number becomes 3x. is becomes an = sign rhen the given amount, 13
3x - 20 = 13
Step-by-step explanation:
3x - 20 =13
3x = 13 + 20
3x =33
x= 11
Simplify this expression: 19 - (-8) - (-14) = ? A. 41 B. 25 C. -7 D. -3
Answer:
A. 41
Step-by-step explanation:
19 - (-8) - (-14) =
19+8+14
Remember: Two negatives=One positive ;)
27+14
41
A. 41
Answer:
[tex]\mathrm{A.} \: 41[/tex]
Step-by-step explanation:
[tex]19 - (-8) - (-14)[/tex]
[tex]\mathrm{Apply \: rule:} \: -(-a)=a[/tex]
[tex]19+8+14[/tex]
[tex]\mathrm{Add \: the \: numbers.}[/tex]
[tex]=41[/tex]
The value that satisfies the equation 7/n=8/7 is
Answer:
n= 35/8
Step-by-step explanation:
7/n= 8/7
7/8 = n/7
7²/8 = n
n = 49/8
Answer:
n = 49/8Step-by-step explanation:
[tex] \frac{7}{n} = \frac{8}{7} [/tex]
Cross multiply
We have
49 = 8n
Divide both sides by 8
n = 49/8Hope this helps you
Use the distributive property to multiply -3(-28)
Answer:
84
Step-by-step explanation:
-3 multiplied by -28 equals 84. The two negatives cancel out.
Answer: ur answer would be 84
-3*-28
84
Maria recorded the thickness a of a set of books. This line plot shows her results. Maria stacked the books that were 214 inches thick on top of the books that were 212 inches thick. How thick was her pile of books?
Answer:
The answer is given below
Step-by-step explanation:
The question is not complete because it does not contain the line plot. A line plot is attached and steps on how to calculate.
From the line plot, if Maria stacked the books that were 3/4 inches thick on top of the books that were 1 inches thick, the result would be as follows.
A line plot shows the frequency of data using a number line. As seen from the line plot, 5 books are 3/4 inches thick and 4 books are 1 inches thick. If the 1 inches thick books was stacked on the 3/4 inches thick book, the resulting thickness would be: [tex]Thickness\ of\ books=\frac{3}{4} inches/book *5\ books+1\ inches/book*4\ books\\ = 3.75\ inches+4\ inches = 7.75 \ inches[/tex]
Therefore Maria pile of books as a result of stacking 3/4 inches thick on top of the books that were 1 inches thick = 7.75 inches
Answer:
7.75
Step-by-step explanation:
Using side lengths only, could the triangles be similar? Triangle X Y Z. Side X Y is 1.5, X Z is 1, Z Y is 2. Triangle Q S R. Side Q R is 1, R S is 1.5, S Q is 0.5.
Answer:
no
Step-by-step explanation:
In ∆XYZ, we can write the ratios of the sides from shortest to longest as ...
y : z : x = 1 : 1.5 : 2 = 2 : 3 : 4
In ∆QSR, we can write the ratios of the side lengths from shortest to longest as ...
r : s : q = 0.5 : 1 : 1.5 = 1 : 2 : 3
Based on side lengths only, the triangles cannot be similar.
__
Additional note
Even if shortest-to-longest side ratios were the same, the triangle naming is incorrect for them to be similar.
Can someone help me with this question please.
Answer:
a. +3
b. -12a
Step-by-step explanation:
Here, we want to know the steps that are involved in those unoccupied segments
let’s start with the output
6a + 18
So what turned a to 6a + 18
Let’s call that output x
Let’s reverse the last step that multiplied that term and a
Thus (6a + 18)/6 = a + 3
Thus the x-term we are looking for is + 3 before the multiplication by 6
Now for the second part;
a * 4 -3 = -12a
82 Find the circumference
of a circle with a radius
of 10cm.
A. 6.28 m
B. 62.8m
C. 628m
D. 6280m
Answer:
0.628 m (This is the correct answer but I cant find it in your options)
Step-by-step explanation:
Radius = 10 cm = 0.1 m
Now, The circumference:
=> Circumference = [tex]2\pi r[/tex]
=> C = 2(3.14)(0.1)
=> C = 0.628 m
Answer:
B. 62.8m
Step-by-step explanation:
C= 2πr= 2*3.14* 10 m= 62.8 m
Assumed radius is 10 m as the answer options are in metre