Answer:
(-2,-4)
Step-by-step explanation:
3x+2=-2x-8
+2x. +2x
5x+2=-8
-2. -2
5x=-10
/5. /5
x= -2
y=3(-2)+2
y=-6+2
y= -4
(-2,-4)
Hopes this helps please mark brainliest
the hudson valley renegades stadium hold a maximum of 4,505 people. During the height of their popularity, they sold out 219 consecutive games. how many tickets were sold during this time?
Answer:
Step-by-step explanation:
4,505 tickets were sold 219 times.
4,505 x 219
The answer is 986,595
Which equation represents the partial sum of the geometric series? 125 + 25 + 5 + 1.
The correct option which represents sum expressed in sigma notation is A.
What is sigma notation?
A series is represented in an exceedingly compact type, referred to as summation or sigma notation. The greek capital letter, ∑ , is employed to represent the total.
The series 4+8+12+16+20+24 is expressed as ∑n= 4n . The expression is browse because the total of 4n as n goes from one to six . The variable n is termed the index of summation.
The geometric series.
Main body:
∑ 125 (1/5)ⁿ⁻¹ ; where, n = 1 to 4.
Now, Calculate the partial sum of the geometric series as;
The geometric series = ∑ 125 (1/5)ⁿ⁻¹
Substitute n = 1, 2, 3, 4, we get;
= 125 (1/5)¹⁻¹ + 125 (1/5)²⁻¹ + 125 (1/5)³⁻¹ + 125 (1/5)⁴⁻¹
= 125 (1/5)⁰ + 125 (1/5)¹ + 125 (1/5)² + 125 (1/5)³
= 125 + 25 + 125/25 + 125/125
= 125 + 25 + 5 + 1
Thus, The partial sum of the geometric series is;
⇒ 125 + 25 + 5 + 1
Option A is true.
The correct question is in the figure.
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Magic number puzzle. Help asap
Answer:
Step-by-step explanation:
1. 0
2. 3
3. 18
4. 33
5. 48
6. 198
Based on statistics from a worldwide health organization, in 2005 there were 29.9 million people worldwide living with a certain disease, and 1.5 million deaths from the disease. By 2015, the number of people living with the disease had fallen to 28.8 million, and 2.6 million deaths were reported. Find the percent change for each statistic, and write any conclusions you can draw. Part: 0/3 Part 1 of 3 The percent change in people living with the disease was [%, rounded to the nearest tenth of a percent 6 Thrice a number is 60 less than 5 times the number. Find the number.
The percent change for people living with the disease is 36.78% and with the number of deaths is 60%
In 2005 there were 29.9 million people worldwide living with a certain disease
By 2015, the number of people living with the disease had fallen to 28.8 million
Decrease in number of people living with a disease = 29.9 - 28.8 = 1.1
decrease in percentage of people living with a disease = (1.1/29.9)/100 = 36.78%
In 2005, 1.5 million deaths from the disease
In 2015, 2.6 million deaths were reported
change in number of deaths from the disease = 2.6 - 1.5 = 0.9
Change in percentage = (0.9/1.5) 100 = 60%
Therefore, the percent change for people living with the disease is 36.78% and with the number of deaths is 60%
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Marco has 2 peices of rope that are each 8 yards long.how many feet of rope does m arco have
Answer:
48 feet
Step-by-step explanation:
Marco has 2 pieces of rope that are each 8 yards long.
2 x 8 = 16 yards.
Marco has a total of 16 yards of rope.
Note that for converting yard to feet, that: 1 yard = 3 feet.
Marco, in this case, has 16 yards. Multiply 16 yards with 3 feet to obtain your answer:
16 yards x (3 feet/1 yard) = 48 feet/16 yards.
Marco has 48 feet worth of rope.
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whats the percent? ............
Answer: 32%
Step-by-step explanation: add up the total and divide 16 by the total number of all people surveyed
[tex]3({\frac{7}{5} x+4)-2(\frac{3}{2} -\frac{5}{4}x)[/tex]
Answer: -1.34328358
Step-by-step-explanation;
3(7/5x + 4) - 2(3/2-5/4x) = 0
3·(7/5·x + 4) - 2·(3/2-5/4·x) = 0
134x = -180
x = -180/134 = -1.34328358
The ale tax on a car that old for $13,500 i $910. At thi rate, how much higher i the tax on a car that ell for $16,500
The tax on a car that sells for $16,500 at the rate of 6.7% is $195.5 higher.
What is the percentage?
A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.
We have,
First car price is = $13,500
and tax of the first car is = $910
Second car price is = $16,500
and tax of the second car is = ?
so,
$13,500 ----- 100,
$910 ----- x
x = 910 * 100 / 13500
x = 6.7
therefore, the rate of tax is 6.7%
so, we will calculate the tax for the second car,
$16,500 ----- 100,
y ----- 6.7
y = 6.7 * 16,500 / 100
y = $1105.5
difference of tax price between two cars = $1105.5 - $910 = $195.5
Hence, the tax on a car that sells for $16,500 at the rate of 6.7% is $195.5 higher.
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1. Tyler was driving to the grocery store. As he was turning into the parking lot he was rear-ended by Harold. Tyler's head hit the steering wheel and he was taken to the hospital by ambulance. Harold failed to pay his insurance premium for several months and his policy was canceled. What type of automobile insurance coverage(s) is needed in this situation?
The type of automobile insurance coverage that is needed in this problem is of:
Liability coverage.
What are the types of car insurance coverage?The types of car insurance coverage are listed as follows:
Liability coverage.Uninsured and underinsured motorist coverage.Comprehensive coverage.Collision coverage.Personal Injury coverage.In this problem, the situation is that Harold caused a collision that resulted in injuries to Tyler, who has to pay the ambulance/hospital bill.
This means that Harold is liable to the injuries caused to Tyler, meaning that he needs liability coverage to help pay the hospital/ambulance bill, as collision coverage and personal injury coverages are for the victim and not for the person that caused an accident.
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find the distance between the two points rounding to the nearest tenth (if necessary). (5,5) (-1,-3)
The distance between the two points (5,5) and(-1,-3) is 10 from the distance formula.
Given that,
The points area (5,5) and (-1,-3)
We have to find the distance between the two points.
We know that,
What is distance formula?The distance between two points is the length of the line segment spanning those two points on the plane.
d=√((x₂ - x₁)² + (y₂ - y₁)²) is a common formula to calculate the distance between two points.
Any two points on an x-y plane or coordinate plane can have their separation between them determined using this equation.
We get,
(5,5) and (-1,-3)
Distance= [tex]\sqrt{(-1-5)^{2}+(-3-5)^{2} }[/tex]
Distance= √(-6)²+((-8)²
Distance= √36+64
Distance= √100
Distance =10
Therefore, The distance between the two points (5,5) and(-1,-3) is 10 from the distance formula.
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PLEASE HELP ME
What is the y-intercept of this line?
I keep getting confused someone please help me and explain it better to me
Answer:
2
Step-by-step explanation:
The y-intercept is the point at which the graph crosses the y-axis.
(I have marked it in blue on the attached graph).
From inspection of the given graph, the line crosses the y-axis at point (0, 2). So the y-intercept is 2.
recursively define the set of binary strings with more 0s than 1s.
0>1,If a function f is constructed recursively, at least one of its values, f(x), must be defined in terms of f(y), where x>y.
What do binary strings mean?A series of bytes make up a binary string. A binary string is used to store non-traditional data, including images, as opposed to a character string, which typically holds text data. The quantity of bytes in a binary string determines its length. The CCSID for a binary string is 65535.Binary refers to this system of 1s and 0s. Because of the way they are made, computers only speak in binary. A computer is nothing more than a sizable number of switches. On those curiously engraved boards inside the computer, there are millions of microscopic electronic switches.If a function f is constructed recursively, at least one of its values, f(x), must be defined in terms of f(y), where x>y. A procedure P is defined recursively if its action, P(x), is defined in terms of another action, P(y), where x>y.Explanation:
0>1.
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simplify (8^(5))/(8^(-9))
1.8^-45
2.8^-4
3.8^14
4.8^45
The expression (8^(5))/(8^(-9)) is simplified to 8^14. Option 3
What are index forms?Index form of a number can simply be described as that number written in the form of an exponential expression.
The number can also be written as a single number which is raised to another number.
Some rules of indices to note;
Multiplying index form results in addition of their powersDivision results in subtraction of their powersGiven that;
(8^(5))/(8^(-9))
Then, we have;
8^5-(-9)
8^5+9
Add the powers
8^14
Hence, the value is 8^14
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help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeehelp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeehelp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
b.) 8/7≈ 1.1
Final.) and then using the exponential decay formula, 18.1 will be left after
the rectangular coordinates of a point are s2, 2, 21d. find the cylindrical and spherical coordinates of the point
The cylindrical and spherical coordinates of the point are ([tex]\sqrt{8}[/tex],0.78,-1),(3, 0.78rad, 1.91rad) respectively.
Rectangular coordinates of a point is written like (x, y, z)
Cylindrical coordinates of a point is written like (r, θ, z)
Spherical coordinates of a point is written like (p, θ, φ)
First talk about Rectangular vs Cylindrical.
x = rcosθ
y = rsinθ.
z = z
x^2 + y^2 = r^2
given rectangular coordinates as (2,2,-1)
x=2, y=2, z=-1.
r^2 = 4+4 = 8.
r = [tex]\sqrt{8}[/tex]
r = 2[tex]\sqrt{2}[/tex]
θ = [tex]tan \inv-1[/tex](y/x) = [tex]tan \inv-1[/tex](2/2) = [tex]tan -1[/tex](1) = 45° = 0.78rad .
z = -1.
So Cylindrical coordinates is (r,θ,z) = ([tex]\sqrt{8}[/tex],0.78,-1).
Now let's us talk about Rectangular vs Spherical Coordinates.
x = pcosθsinφ.
y= psinθsinφ.
z = pcosφ.
p^2 = x^2+y^2+z^2.
tanθ = y/x
cosφ = z/p = z/[tex]\sqrt{x^2+y^2+z^2}[/tex].
given rectangular coordinates as (2,2,-1)
x=2, y=2, z=-1.
p = [tex]\sqrt{x^2+y^2+z^2}[/tex] = [tex]\sqrt{2^2+2^2+(-1)^2}[/tex] = [tex]\sqrt{9}[/tex] = 3
θ = [tex]tan -1[/tex](y/x) = 0.78rad .
φ = [tex]cos -1[/tex](z/p) = [tex]cos -1[/tex](-1/3) = 1.91rad
So Spherical coordinates is (3, 0.78rad, 1.91rad).
The cylindrical and spherical coordinates of the point are ([tex]\sqrt{8}[/tex],0.78,-1),(3, 0.78rad, 1.91rad) respectively.
Given Question is incomplete, Complete Question here
The Rectangular Coordinates Of A Point Are (2,2,-1) Find The Cylindrical And Spherical Coordinates Of the Point,
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I need help with this question, I don't understand how we get the x value in the equation.
I'm not trying to cheat, I just need steps to see how we get to the end of it.
y=x-1
y=-x+3
Step-by-step explanation:
the x value comes from the slope when graphing. for example, the slope on this problem is just x which means its only one. so you move up one and to the right one. for the second equation, its negative so you move back one or down one. the x value coms from when they are both intercepted when graphed.
On a number line, point d is at -6, and point e is at 8. point f lies between points d and e. if is , where does point f lie on the number line? point f is at on the number line.
The point F lies on 4.5 in the number line.
What is the number line?
The number line is a One dimensional representation of point referring by a number only.
We know that if a point divides a line joining the points at x, y in the number line respectively in m:n ratio then that point lies on
= (my+nx)/(m+n) in the number line.
Here in the given problem that,
Point D lies on -6 in the number lin
Point E lies on 8 in the number line
And F lies between D and E points and DE:EF = 3:1
So the point F clearly divides the staright line DE joining the point D at -6 and E at 8 in 3:1 ratio.
So the point F lies on = (1*(-6)+3*8)/(3+1) = (-6+24)/4 = 18/4 = 4.5
Hence, the point F lies on 4.5 in the number line.
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Suppose K⊆Rn is compact, f:K→R is continuous, and ϵ>0. Show that there is a number A>0 such that
|f(x)−f(y)|≤A∥x−y∥+ϵ,∀x,y∈K.
By using the concept of compact set, it can be proved that
|f(x)−f(y)|≤A∥x−y∥+ϵ,∀x,y∈K.
What is compact set?
A set K is said to be compact if every open cover of K has a finite subcover.
Let K⊆Rn is compact f:K→R is continuous, and ϵ>0
Let there exist [tex]x_n, y_n[/tex] ∈ K such that |f([tex]x_n[/tex])−f([tex]y_n[/tex])| > n∥[tex]x_n[/tex]−[tex]y_n[/tex]∥+ϵ,
Since K is compact there is a subsequence [tex]x_{nk}[/tex] and [tex]y_{nk}[/tex] of [tex]x_n, y_n[/tex] respectively such that [tex]x_{nk}[/tex] converges to x and [tex]y_{nk}[/tex] converges to y.
So, |f([tex]x_{nk}[/tex])−f([tex]y_{nk}[/tex])| > [tex]n_k[/tex]∥[tex]x_{nk}[/tex]−[tex]y_{nk}[/tex]∥+ϵ,
Since f is continuous,
We can write
|f(x)−f(y)| > [tex]n_k[/tex]∥x - y∥+ϵ,
This is true for infinite many [tex]n_k[/tex]
So ||x - y|| = 0
|f(x) - f(y)| > ϵ, a contradiction since f is continuous
So, there is a number A>0 such that
|f(x)−f(y)|≤A∥x−y∥+ϵ,∀x,y∈K.
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. If g = -4 and h = -5 find the value of
a) 4gh
b) g²h
c) 5h - g²
Answer:
a) 80
b) -80
c) -41
Step-by-step explanation:
For g = -4 and h = -5, you want the values of ...
4ghg²h5h -g²To evaluate these expressions, put the value of the variable where the variable is, and do the arithmetic. A calculator can help.
a) 4gh= 4(-4)(-5) = 80
b) g²h= (-4)²(-5) = -80
c) 5h -g²= 5(-5) -(-4)² = -25 -16 = -41
4-2/3x=2/5 rewright with no fractions
Answer: x= 27/5
Step-by-step explanation:
This equation can rewrite as -2/3x + 4 = 2/5
We separate x by subtracting 4 from both sides
-2/3x = -20/5 +2/5
-2/3x = -18/5
Then we divided both sides by -2/3
Ad we will get x= 27/5
33. Let M2x2 be the vector space of all 2x 2 matrices, and define T : M2x2 → Mo by T(A) A + AT, where a. Show that T is a linear transformation. b. Let B be any element of M2 c. Show that the range of T is the set of B in M2x2 with the d. Describe the kemel of T such that BT B. Find an A in M2xz such that T(A) B property that B B
a) T( K₁A₁+K₂A₂)= K₁T(A₁)+K₂T(A₂). So, T is a linear transformation.
b) T(A)=B, if B be any element of M₂
c) Range of T=={A∈ [tex]M_{ 2*2}[/tex]/[tex]A^{T}[/tex]=-A}
What is meant by matrix?A matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns that is used to represent a mathematical object or an attribute of such an item.
A square matrix's determinant is a number connected with the matrix that is crucial for studying a square matrix; for example, a square matrix is invertible if and only if it has a nonzero determinant, and a square matrix's eigenvalues are the roots of a polynomial determinant.
Define T: [tex]M_{ 2*2}[/tex] ⇒ [tex]M_{ 2*2}[/tex] by T(A)=A+[tex]A^{T}[/tex]
a) Let T is a linear transformation
Consider K₁A₁+K₂A₂ ∈ [tex]M_{ 2*2}[/tex]
T( K₁A₁+K₂A₂)= K₁A₁+K₂A₂+( K₁A₁+K₂A₂)[tex]( K₁A₁+K₂A₂)^{T}[/tex]
= K₁T(A₁)+K₂T(A₂)
T( K₁A₁+K₂A₂)= K₁T(A₁)+K₂T(A₂)
Therefore, T is a linear transformation.
b) Let B∈ [tex]M_{ 2*2}[/tex] such that [tex]B^{T}[/tex]=B
Therefore, B is a symmetric matrix.
Let A=(1/2)B∈ [tex]M_{ 2*2}[/tex]
T(A)=A+[tex]A^{T}[/tex]
=(1/2)B+[tex](1/2B)^{T}[/tex]
T(A)=B
A=(1/2)B such that T(A)=B
c) Range of T is the set of B in [tex]M_{ 2*2}[/tex], [tex]B^{T}[/tex]=B
T( [tex]M_{ 2*2}[/tex])={B∈ [tex]M_{ 2*2}[/tex]/ [tex]B^{T}[/tex]=B}
d) Kernel of T={A∈ [tex]M_{ 2*2}[/tex]/T(A)=0)
={A∈ [tex]M_{ 2*2}[/tex]/A+[tex]A^{T}[/tex]=0}
={A∈ [tex]M_{ 2*2}[/tex]/[tex]A^{T}[/tex]=-A}
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Three points Assuming M22 is the vector space containing all 22 matrices, T: M22 M22 is defined as T(A) = A + AT.
T is a linear transformation, therefore demonstrate it.
b) Assume that B is any element from M22 where BT = B. In M22, look for an A such that T(A) = B.
c) Explain the T kernel.
a) Verifying that T preserves sums and multiplication by scalars—which implies that T(0) = 0 in particular—is sufficient to determine if T is linear.
Additions: T(A+B) = A+B+A+B T = A+B+A T +B
T = (A + A T ) + (B + B T ) = T(A) + T (B).
Scalar multiplication
T(c · A) = (c · A)
T = c · A
T = c · T(A) (A).
b) Calculate A = 1 2B. Since AT = 1 2BT = 1 2B, T(A) = A + A.
T = \s1 \s2 \sB + \s1 \s2 \sB = B.
c) If 0 0 0 0 = A + A, then and only if A = a b c d, A is in the kernel of T.
If and only if 2a = b + c = 2d = 0, i.e., a = d = 0 and c = b, then T = a b c d + a c b d = 2a b + c b + c 2d. Therefore, the set ker(T) = 0 b b 0 : b R is the kernel of T.
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three less than the product of nine and number is eight as a word equation
Answer:9x-3=8
Step-by-step explanation:
3 less means minus 3 from a number
product of 9 and a number is 9 times x
9x-3=8
is eight means = sign
Which is equivalent to (3^4n)^1/2
The expression which is equivalent to the given expression as in the task content by virtue of the laws of indices is; ( 3 )^2n.
Which expression is equipped to the given expression?It follows from the task content that the expression which is equivalent to the given expression is to be determined.
Since the given expression is;
( 3^4n ) ^(1/2)
However, it follows from the power of power law of indices that the expression above can be written as follows;
( 3 ) ^ (4n × 1/2)
= ( 3 )^2n
Therefore, the required equivalent expression is; ( 3 )^2n.
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what is the slope of line g
to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below.
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{2}}} \implies \cfrac{ -3 }{ 1 } \implies \text{\LARGE - 3}[/tex]
If the rate of inflation is 2.8% per year, the future price p (t) (in dollars) of a certain item can be modeled by the following exponential function, where it is the
number of years from today.
p(t) = 800 (1.028)
Find the current price of the item and the price 10 years from today.
Round your answers to the nearest dollar as necessary.
Current price:
Price 10 years from today: $
Para calcular la tasa de inflación, debemos seguir una serie de pasos.
Para ello, hemos propuesto un ejemplo en el que, paso a paso, calcularemos para un caso real la tasa de inflación.
Imaginemos que hacemos un listado de las compras realizadas en un año determinado, el cual tomamos como base. Esta compra incluye, a la hora de elaborar un listado, una serie de productos, todos ellos con sus respectivos precios. Productos que, en este caso, son barras de pan, cafés, servicios de taxi y un pantalón de vestir.
En primer lugar, lo que debemos hacer es calcular el gasto de cada producto, para ello, multiplicando las cantidades de cada producto o servicio adquiridas, por el precio que se pagó por cada una de ellas, así como por los servicios.
En este caso, sería lo siguiente:
Barras de pan: 1,50€ x 150 = 225€.
Cafés: 2,40€ x 100 = 240 €.
Taxi: 5€ x 40 = 200€.
Pantalón: 120€.
espero haberte ayudado
4. Here is a diagram of the track King'sis thinking of adding around the new field. It
consists of two parallel lines and a semicircle at each end. The track is 10 meters wide. -
100-
СР
64m
a) If someone runs one lap on the inside of the track, how far will they have run?
b) If someone runs one lap on the outside of the track, how far will they have run?
c) Find the difference between the distances of running on the inside or outside of the
track.
Answer:
Step-by-step explanation:
pls help right now I need help
giving brainliest
this is reading btw
Answer:
The answer is A
Step-by-step explanation: I'm so smart
what is the equation in slope intercept form of the line that passes through the point (-0.5,7) and is parallel to the graph of y=-8x-2 please help
Answer:
y = -8x + 3
Step-by-step explanation:
Pre-SolvingWe are given that a line passes through the point (-0.5,7), and is parallel to y = -8x - 2
We want to write the equation of this line in slope-intercept form.
Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept, hence the name.
Parallel lines have the same slopes.
Therefore, we can start by finding the slope of y = -8x - 2.
It is also written in slope-intercept form. -8 is where m (slope) should be; therefore, the slope of the line is -8.
SolvingWe can plug in -8 for m in y=mx+b.
y = -8x + b
Now we need to find b.
As the equation passes through the point (-0.5,7), we can use its values to help solve for b.
Substitute -0.5 as x and 7 as y.
7 = -8(-0.5) + b
Multiply
7 = 4 + b
Subtract 4 from both sides
3 = b
Substitute 3 as b in the equation.
y = -8x + 3
Topic: parallel and perpendicular lines
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Silicone implant augmentation rhinoplasty is used to correct congenital nose deformities. The success of the procedure depends on various biomechanical properties of the human nasal periosteum and fascia. The article "Biomechanics in Augmentation Rhinoplasty" (J. of Med. Engr. and Tech., 2005: 14–17) reported that for a sample of 15 (newly deceased) adults, the mean failure strain (%) was 25.0, and the standard deviation was 3.5. a. Assuming a normal distribution for failure strain, estimate true average strain in a way that conveys information about precision and reliability. b. Predict the strain for a single adult in a way that conveys information about precision and reliability. How does the prediction compare to the estimate calculated in part (a)?
Main answer: mean = 23
supporting answer: Agraphical representation of a normal distribution is sometimes called a bell curve because of its flared shape. The precise shape can vary according to the distribution of the population but the peak is always in the middle and the curve is always symmetrical. In a normal distribution, the mean, mode and median are all the same.
body of the answer: given total number of samples=15
percentage of failure stain=25 percent=0.25
standard deviation=3.5
a. formula used=z=x- mean/standard deviation
p(0.25<x<0)
z=25-mean /3.5
0.6*3.5=25-mean
mean=25-0.6*3.5
=22.9
since A(0.25)=0.6
b. for 15 adults the mean is 23
for one adult =23/15
=1.533
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The mean for the given statistic problem is 23.
The strain for a single adult in a way that conveys information about precision and reliability is 1.533.
What is normal distribution?
A graphical representation of a normal distribution is sometimes called a bell curve because of its flared shape. The precise shape can vary according to the distribution of the population but the peak is always in the middle and the curve is always symmetrical. In a normal distribution, the mean, mode and median are all the same.
Given total number of samples=15
percentage of failure stain=25 percent=0.25
standard deviation=3.5
a. formula used=z=x- mean/standard deviation
p(0.25<x<0)
z=25-mean /3.5
0.6*3.5=25-mean
mean=25-0.6*3.5
=22.9
since A(0.25)=0.6
b. For 15 adults the mean is 23
For one adult =23/15
=1.533
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A company that makes haircare products had 2,000 people try a new shampoo. Of the 2,000 people, 12 had a mild allergic reaction. What percent of the people had a mild
allergic reaction?
The percent of the people had a mild that has an allergic reaction is 0.6%.
How to calculate the percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.
Given that the company that makes haircare products had 2,000 people try a new shampoo. Of the 2,000 people, 12 had a mild allergic reaction.
It should be noted the percentage will be:
= Allergic people / Total people × 100
= 12/2000 × 100
= 0.6%
The percentage is 0.6%.
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