Answer:
(5x + 8y)(5x - 8y)
Step-by-step explanation:
Since both terms are perfect squares, factor using the difference of squares formula, a^2 - b^2 = (a + b)(a - b) where a = 5x and b = 8y.
~Hoped this helped~
please help me 20 points
Out of 2000 pizzas he sells next time he should expect 797 stuffed crust or pan style. This can be obtained by using formula of probability and multiplying the total number of pizzas.
Find the expected value:The formula for Expected value:
EV = P(X) × n
where EV is the expected value and P(X) is the probability of X and n is the total number.
In the question it is given that,
Thin crust ⇒ number of thin crust sold = 307 Thick crust ⇒ number of thick crust sold = 224Stuffed crust ⇒ number of stuffed crust sold = 161Pan style ⇒ number of pan style sold = 191First we have to find the probability of stuffed crust or pan style,
P( stuffed crust or pan style) = P(stuffed crust) + P(pan style)
The number of stuffed crust and pan style = 161 + 191 = 352
The total number of crusts sold are ⇒ 307 + 224 + 161 + 191 = 883
⇒ P( stuffed crust or pan style) = 161/883 + 191/883
= 352/883
The expected value of stuffed crust or pan style,
n = 2000, P(X) = 352/883
EV = P(X) × n = (352/883) × 2000 = 797.28 ≈ 797
Hence out of 2000 pizzas he sells next time he should expect 797 stuffed crust or pan style.
Learn more about expected value here:
brainly.com/question/18523098
#SPJ1
i need major help completing math questions (im terrible at it.)
Answer:
78.5 inches square is the answer
Step-by-step explanation:
area-3.14*(5)^2
What value(s) of x will make x²=81 true?
Answer: 9,-9
Step-by-step explanation:
Answer: 9
Step-by-step explanation:
9x9=81
Which series is convergent? check all that apply. sigma-summation underscript n = 1 overscript infinity endscripts startfraction 2 n over n 1 endfraction sigma-summation underscript n = 1 overscript infinity endscripts startfraction n squared minus 1 over n minus 2 endfraction sigma-summation underscript n = 1 overscript infinity endscripts (one-fifth) superscript n sigma-summation underscript n = 1 overscript infinity endscripts 3 (startfraction 1 over 10 endfraction) superscript n sigma-summation underscript n = 1 overscript infinity endscripts startfraction 1 over 10 endfraction (3) superscript n
These series show convergence of series which are
sigma-summation underscript n = 1 overscript infinity endscripts startfraction 2 n over n 1 endfraction
sigma-summation underscript n = 1 overscript infinity endscripts 3 (startfraction 1 over 10 endfraction)
According to the statement
we have given the some series and we have to find that the out of these series which series is convergent.
So, For this purpose we have to check the convergence of series.
So,
we know that the for the convergent of series there is a one condition and if those condition will satisfy on the series then the series is convergent and if not then series is divergent.
So, the condition for convergent is a series converges if the absolute value of the sum of any finite number of sequential terms can become arbitrary small by starting the addition from a term which is far enough. So, if this condition is not satisfied the series diverges.
When we apply this condition on all given series then only 2 series satisfy this condition which is
sigma-summation underscript n = 1 overscript infinity endscripts startfraction 2 n over n 1 endfractionsigma-summation underscript n = 1 overscript infinity endscripts 3 (startfraction 1 over 10 endfraction)So, These series show convergence of series which are
sigma-summation underscript n = 1 overscript infinity endscripts startfraction 2 n over n 1 endfraction
sigma-summation underscript n = 1 overscript infinity endscripts 3 (startfraction 1 over 10 endfraction)
Learn more about Convergence of series here https://brainly.com/question/1521191
#SPJ4
Answer:
B. The series converges because it has a sum of 2/3
Here are the answers for the rest of the assignment:
C.
B.
C and D
A and C
B and D
C.
B. 0.31 and A. 0.0025
B. 1.0317 and C. 1.9683
(please read below)
Step-by-step explanation:
Had the assignment and these are the correct answers, enjoy :)
p.s Take a break here for a second, this was your last assignment before the unit test and finals, pre-calc is a very hard subject to master and calc is going to be even harder so I just want to say that I am proud of you, you have done a great job this year.
I have also taken the course(and many others) and answered countless questions for brainly (you have probably seen some of them if you took pre-calc) and this is my final answer for edge(might do one or 2 more for the finals) and it has been my greatest pleasure to bring you guys edge answers for 3 years strait but sadly this is where my road ends, I have tried my hardest to make your lives easier with my answers as others have for me. I hope some of y'all continue on my legacy and continue bringing good to the world 1 answer at a time.
So long fellows, thank you for taking the time to listen I hope y'all do well in life :)
Mario is 63 years older than his grandson Jonas. How many years ago was Mario's age 10 times Jonas's age if Mario's age is currently four times Jonas's age?
Answer:
14 years ago
Explanation:
Let Mario's age be m, Jonas age be j.
From, Mario is 63 years older than Jonas
Equation 1: m = j + 63
From, Mario's age is four times Jonas age
Equation 2: m = 4j
Solve them by substitution:
m = j + 63
4j = j + 63
4j - j = 63
3j = 63
j = 21
Find Mario's age:
m = j + 63
m = 21 + 63
m = 84
Follow this steps:
m - y = 10(j - y)
84 - y = 10(21 - y)
84 - y = 210 - 10y
-y + 10y = 210 - 84
9y = 126
y = 14
The answer is 14 years ago.
Let Mario's age be M, and Jonas' age be J.
The formed equations :
M = J + 63M = 4JTo find their current ages, substitute the 2nd equation in the 1st equation.
4J = J + 63
3J = 63
J = 21
M = 4(21)
M = 84
For Mario to be 10 times Jonas' age, he has to be an age that is a multiple of 10.
Case (1) : Mario's age = 80
Subtract 4 from both their ages.
Mario : 84 - 4 = 80
Jonas : 21 - 4 = 17
17 × 10 ≠ 80
Case (2) : Mario's age = 70
Subtract 14 from both their ages.
Mario : 84 - 14 = 70
Jonas : 21 - 14 = 7
7 × 10 = 70
In our solar system, 6 of the 8 planets have moons.
What percentage of the planets have moons?
Answer:
75%
Step-by-step explanation:
Please help! i will give you a lot of points if you do!
i don't understand how to solve number 19 through 31, only the odd numbers.
please show work
Answer:
Khan Academy.
Step-by-step explanation:
You can go on khan academy and search up "percentages and numbers." The videos should immediately pop up. there are also lessons if you don't want to risk getting your problem wrong. If you are still confused and do not understand please just comment and I will respond.
Quick algebra 1 assignment for 50 points!
Only answer if you know the answer, tysm!
1. Create 5 questions referencing “Relations and Functions”Below is an example of one.
——————————————————————
Example :
For the problem below read the scenario and answer the questions.
Tai volunteered to sell tickets to an upcoming school play. There are a total of 75 tickets available for a cost of $3 each.
Let M represent the total amount of money she receives from ticket sales and t represent the number of tickets.
A) Write a function M(t) to represent the total amount of money Tao receives from ticket sales.
B) What is the domain of the function? Explain your reasoning.
——————————————————————
2. Answer each question and write a brief step by step process on how you got the answer to each of your questions.
The examples and solutions to the functions are illustrated below based on the information given.
How to illustrate the functions?1st example: The cost of a bag of rice is $100 and subsequent bags cost $95. Illustrate. the function to calculate the cost for p bags of rice.
The function will be:
C = 100 + (95 × p)
C = 100 + 95p
2nd example: The cost of a pen is $5. Find the cost of s pens.
The function will be:
C = 5 × p
C = 5p
3rd example: Calculate the total amount for m tickets if each ticket is $20.
The function will be;
C = 20 × m
C = 20m
4th example: Bon bought g mangoes at $2 each and d oranges at $3.40 each. Calculate the total cost.
C = (2 × g) + (3.40 × d)
C = 2g + 3.4d
5th example: The average age of k number of boys is 7. Find their total age.
The function will be:
a = (7 × k)
a = 7k
Learn more about functions on:
brainly.com/question/25638609
#SPJ1
Question 1: Akira sells lemonade at 50 cents a glass. Let m be the amount of money they make in total for g glasses. Akira only has enough lemonade for 20 glasses.
A) Write a function m(g) to represent the total money (in dollars) they make from lemonade sales.
B) What is the domain of the function? Why?
Answer:
A) m(g) = 0.5g
This is since she makes 0.5 dollars per glass
B) The domain is [tex]0 \leq g \leq 20[/tex] where g is an integer. This is since it's impossible to make less than 0 glasses and they cannot make more than 20.
Question 2: Danyon sells CD's at $20 per CD. He has only 15 CD's left.
A) Write a function m(c) to represent the total money he makes from selling c CD's.
B) What is the domain of the function? Why?
Answer:
A) m(c) = 20c, as he makes 20 dollars per CD.
B) The domain is [tex]0 \leq c \leq 15[/tex] where c is an integer, as he can't make less than 0 CD's, and he has only 15 left.
Question 3: A factory is capable of making 60 units per hour. The factory can only run for 24 hours before cool down, and 150 units have already been made.
A) Write a function u(h) to represent the number of units after h hours.
B) What is the domain of the function? Why?
Answer:
A) u(h) = 60h + 150 as it makes 60 units per hour and 150 are already made.
B) The domain is [tex]0 \leq h \leq 24[/tex] as the factory can't run for negative hours and has to cool down after 24 hours.
Question 4: Alazne sells sunglasses at $7 per pair. She has only 30 left before she needs to re-stock.
A) Write a function m(s) which calculates the amount of money she makes after selling s sunglasses.
B) What is the domain of the function? Why?
Answer:
A) m(s) = 7s, as she gets $7 per pair of sunglasses
B) [tex]0 \leq s \leq 30[/tex] where s is an integer, one cannot have a fraction of a pair and she only has 30. She also cannot sell negative sunglasses.
Question 5: Lincoln works at a burger joint in the summer. He makes $3 from every burger he makes. He already has $22 saved. He cannot make more than 10 burgers a day.
A) Write a function m(b) which calculates how much money he gets after making b burgers.
B) What is an appropriate domain for this function?
Answer:
A) m(b) = 3b + 22, as he already has 22 dollars and makes 3 more for every burger.
B) [tex]0\leq b\leq10[/tex], where b is an integer. This is since he cannot make a fraction of a burger, negative burgers, or more than 10 burgers.
27. The attendance at a party consisted of 35 men, a number of women and some children. The number of women was one and a half that of the children present. a) If there are a total of 65 participants, how many women attended the party?
Answer:
There are 35 Men, 12 Children, and 18 Women
Step-by-step explanation:
Men(M), Women(W) and Children(C)
We learn that:
M = 35
W = 1.5C , and
M+W+C = 65
----
M+W+C = 65
M+1.5C+C = 65
35+1.5C+C = 65
2.5C = 30
C = 12
If C=12 and W=1.5C, then W=18
----
There are 35 Men, 12 Children, and 18 Women
(35+12+18) = 65 participants
help please i’m not sure if it’s c
the answer is infact c!
What are the coordinates of the terminal point corresponding to 0=-120?
Using the unit circle, the coordinates of the terminal point corresponding to [tex]\theta = 120^\circ[/tex] is: (-0.5, 0.866).
What is the unit circle?For an angle [tex]\theta[/tex] the unit circle is a circle with radius 1 containing the following set of points: [tex](\cos{\theta}, \sin{\theta})[/tex].
In this problem, the angle is of [tex]\theta = 120^\circ[/tex], hence:
[tex]\cos{\theta} = \cos{120^\circ} = -0.5[/tex].[tex]\sin{\theta} = \sin{120^\circ} = 0.866[/tex].Hence the terminal point is:
(-0.5, 0.866).
More can be learned about the unit circle at https://brainly.com/question/16852127
#SPJ1
Which equation represents exponential decay? * a y=3^x-4 b y=2(4)^x c y=1/2(3)^x d: y=6(1/3)^x
The equation which represents exponential decay is y=[tex]6(1/3)^{x}[/tex]
Given four equations : 1)y=[tex]3^{x} -4[/tex], 2) y=[tex]2(4)^{x}[/tex], 3) y=[tex]3^{x}/2[/tex], 4) y=[tex]6(1/3)^{x}[/tex].
Equation is relationship between two or more variables expressed in equal to form. Equations of two variables look like ax+by=c. Exponential equation look like [tex]a^{x}[/tex].
Decay means when x value increases ,the y value decreases.
We haveto put 3 values for x in the equations to check.
1)y=[tex]3^{x} -4[/tex]
put x=0,y=-3
put x=1, y=-1
put x=2, y=5
No,itdoes not represents exponential decay.
2) y=2[tex]4^{x}[/tex]
put x=0,y=2
put x=1, y=8
put x=2, y=32
No,it does not represents exponential decay.
3) y=[tex]3^{x}/2[/tex]
put x=0,y=0.5
put x=1, y=1.5
put x=2, y=4.5
No,it does not represents exponential decay.
4)y=6[tex](1/3)^{x}[/tex]
put x=0,y=6
put x=1, y=2
put x=2, y=0.67
Yes ,it represents exponential decay.
Hence the equation which represents exponential decay is y=6[tex](1/3)^{x}[/tex].
Learn more about equations at https://brainly.com/question/2972832
#SPJ4
The diameter of a semicircle is 26 meters. What is the semicircle's perimeter? Use 3.14 for .
The perimeter of the semicircle is 66. 846 meters
How to find the perimeterThe formula for finding the perimeter of a semicircle is
Perimeter = πr + 2r
We were given diameter = 26meters
Radius, r = diameter/2
radius = 26/ 2 = 13 meters
π = 3. 142
Substitute value into the formula
Perimeter = 3. 142 × 13 + 2 × 13
Perimeter = 40. 846 + 26
Perimeter = 66. 846 meters
Thus, the perimeter of the semicircle is 66. 846 meters
Learn more about semicircle here:
https://brainly.in/question/33100689
#SPJ1
Describe the difference between plots that show a strong correlation and plots that show a weak correlation.
We need to find the difference between plots that show a strong correlation and plots that show a weak correlation.
The point of creating a scatter plot is to determine if there is a correlation. Correlation means the relationship between two quantities. For example, there is a correlation between how much a person studies and the grade they get on a test, but there is no correlation between how much money a person earns and what pets they own. In mathematics, correlation between data means that the points follow a pattern and go in the same direction. There are two types of correlation:
Positive: the trend is rising from left to right
Negative: the trend is decreasing from left to right
If the dots on the scatter plot do not follow a pattern, there is no correlation.
All correlations have two properties: strength and direction. The strength of the correlation is determined by its numerical value. The direction of the correlation is determined by whether the correlation is positive or negative.
The strength of the correlation indicates how strong the relationship is between the two variables. The strength is determined by the numerical value of the correlation. A correlation of 1, whether +1 or -1, is a perfect correlation. In perfect correlations, the data points lie directly on the fit line. The further the data is from the fit line, the weaker the correlation. A correlation of 0 means there is no correlation
If the value of correlation coefficient is nearer to to 1 or -1 , then there exist a strong correlation.
If the value of correlation coefficient is nearer to to 0 , then there exist a weak correlation.
Learn more about correlation here:
https://brainly.com/question/28100787
#SPJ1
The data points are a little closer for a weak correlation, and you can see that there is some sort of relationship between these factors.
Data points for a strong correlation are in close proximity to one another, making it possible to build a line by imitating their pattern.
A statistic called correlation gauges how much two variables change in connection to one another.
Correlation and diversification, the idea that certain types of risk can be reduced by investing in assets that are not connected, are closely related concepts.
Correlation cannot determine whether x causes y or vice versa, or whether a third component is responsible for the association.
A scatter plot may make it easier to spot correlation, particularly when the variables have a non-linear but nevertheless significant association.
Learn more about correlation here:
https://brainly.com/question/17180881
#SPJ1
MULTIPLE CHOICE
Question 13
Which best describes the range of f(x)?
Based on the function, the range of f(x) = 2(3)^x can best be described as y > 0.
What is the range of f(x) = 2(3)^x?When a number is raised to a power, the result will always be positive even if the number is raised to a negative number.
This means that 3^x will always be positive which means that 2(3)^x will also be positive. y will therefore always be greater than 0.
Full question is:
Which best describes the range of the function f(x) = 2(3)^x?
y > 0
y ≥ 0
y > 2
y ≥ 2
Find out more on the range of a function at https://brainly.com/question/25915612.
#SPJ1
The length of a rectangle is 4 times the width. If the perimeter is to be less than or equal to 100 meters. What are the possible values for the width
The possible values for the width is w≥10.
Given that the length of a rectangle is 4 times the width and perimeter is to be less than or equal to 100 meters.
The perimeter of a rectangle is the total distance of its four outer boundaries. The perimeter of the object is twice the length and width of the object. This calculation is made using the formula:
perimeter = 2(length + width).
Here Perimeter=100 and length=4w
Substituting these values in the formula to find width, and we get
100≤2(4w+w)
100≤2(5w)
Divide both sides by 2, and we get
100/2≤(2(5w))/2
50≤5w
Divide both sides by 5, and we get
50/5≤5w/5
10≤w
Hence, the possible value for width when the length of a rectangle is 4 times the width is w≥10.
Learn more about the perimeter of the rectangle from here brainly.com/question/8004702
#SPJ4
Find the additive inverse of the following. (a) -4 (b) -18 (c) 620 (d) 60 (e) -244 (f) -8921
The additive inverse is:
(a) 4 (b) 18 (c) -620 (d) -60 (e) 244 (f) 8921
What is additive inverse?
The additive inverse of a number x is the number that, when added to x yields zero.
It is shown as [tex]x+(-x)=0[/tex]
To find the additive inverse of a number we just change the sign of the given number which means positive changes to negative and vice versa.
The additive inverse of the given numbers are:
(a) 4
(b) 18
(c) -620
(d)-60
(e) 244
(f) 8921
Learn more about additive inverse here:
https://brainly.com/question/13715269
#SPJ4
Total area=
Help me please
Thanks so much
What would be the value of the sum of squares due to regression (SSR) if the total sum of squares (SST) is 25.32 and the sum of squares due to error (SSE) is 6.89
The value of the sum of squares due to regression is 18.43.
Given the total sum of squares (SST) is 25.32 and the sum of squares due to error (SSE) is 6.89.
A common measure used in regression analysis is the sum of squares total (SST). The square of each difference is added to the sum of squares to obtain the squared disparities between individual data points and their mean. The variance is calculated using the sum of squares, which is also used to assess how well a regression curve fits the data.
We will use the total sum of squares (SST) is given as the summation of the sum of squares due to regression (SSR) and sum of squares error (SSE);
SST = SSR + SSE
Here, SST=25.32 and SSE=6.89
Substitute the values in the formula, we get
25.32=SSR+6.89
Now, we will subtract 6.89 from both sides, we get
25.32-6.89=SSR+6.89-6.89
18.43=SSR
Hence, the value of the sum of squares due to regression (SSR) when the total sum of squares (SST) is 25.32 and the sum of squares due to error (SSE) is 6.89 is 18.43.
Learn more about regression from here brainly.com/question/23438254
#SPJ4
Write the equation for a parabola with a focus at (7,2) and a directrix at y = -2 y = ?
Equation of the parabola is [tex]y=\frac{1}{8} (x-7)^2[/tex] with a focus at [tex](7,2)[/tex] and a directrix at [tex]y=-2[/tex]
How to find the equation of parabola with focus and directrix ?
We know that focus of the parabola [tex](h,k+p)=(7,2)[/tex]
So [tex]k+p=2[/tex]......(a)
And directrix of the parabola
[tex]y=k-p\\=-2[/tex]
[tex]k-p=-2[/tex]........(b)
So add the equation (a) AND (b)
[tex]k+p=2\\k-p=-2\\------------\\2k=0\\k=0\\p=2[/tex]
Equation of the parabola with directrix and focus
[tex]y-k=\frac{1}{4p} (x-h)^2[/tex]
Substitute all the values
[tex]y-0=\frac{1}{4(2)} (x-7)^2\\y=\frac{1}{8} (x-7)^2[/tex]
Learn more about the equation of the parabola here:
https://brainly.com/question/28048848
#SPJ4
What is f[g(7)] for the following functions?
f(x) = 3x2 − 4
g(x) = 2x − 5
f[g(7)] = 9
f[g(7)] = 143
f[g(7)] = 239
f[g(7)] =281
Answer: 239
Step-by-step explanation:
[tex]g(7)=2(7)-5=9\\\\f[g(7)]=f(9)=3(9)^2 - 4=239[/tex]
Need help checking my answer for #1 (solving special inequalities)
Inequality are expressions not separated by an equal sign. The inequality shown has no solution
Inequality expressionsInequality are expressions not separated by an equal sign. Given the inequality expression
2(x-3) ≤ 3 + 2x
Expand
2x - 6 ≤ 3 + 2x
2x - 2x ≤ 3 +6
0x ≤ 9
x≤9/0
Hence the inequality shown has no solution
Learn more on inequality here: https://brainly.com/question/11613554
#SPJ1
I'm not sure what theorem to use for this question
The statement that <A > <C and <B > <D has been proved
How to prove that <A > <C and <B > <D?In geometry, the side length opposite the largest angle is the longest side.
Similarly, the side length opposite the smallest angle is the shortest side.
From the given figure of quadrilateral, we have the following sides in increasing order:
Side length ABSide length BCSide length ADSide length CDThe angles opposite the side lengths are:
Angle DAngle BAngle CAngle AThis means that:
<A > <C and <B > <D
Hence, the statement that <A > <C and <B > <D has been proved
Read more about mathematical proofs at:
brainly.com/question/1788884
#SPJ1
Find the area of the polygon.
Answer:
36
Step-by-step explanation:
Hello!
Area of a Parallelogram: [tex]A = b*h[/tex]
b = baseh = heightGiven our shape:
Base = 9height = 4Don't forget, the height is the altitude to the base, which means it forms a perpendicular intersection. The height is not the slant height of the parallelogram.
Find the Area[tex]A = b*h[/tex][tex]A = 9*4[/tex][tex]A = 36[/tex]The area is 36 un².
A train leaves Geneva at 09:10 and arrives at Verona at 14:10 the distance from Geneva to Verona is 390 km calculate the average speed of the train in km/h
how many cards from a standard deck must be drawn to guarantee atleast 3 cards of the same suit have been drawn, pidgeon hole
The number of cards which must be drawn from the standard deck is 12.
Given a standard deck of cards.
We have to find the number of cards to be drawn so that we will get atleast 3 cards from each suit. Because they have used atleast in the question so the cards can be more also so we have to reach at minimum level of cards to be drawn to guarantee atleast 3 cards of the same suit.
Number of suits in a standard deck= 4 (Clubs, Hearts, Diamond, Spades)
Cards in 1 suit=13
We need atleast 3 cards of the same suit so we need atleast 3*4=12 cards. (3 from each suit)
Hence the minimum cards which must be drawn to get atleast 3 cards of the same suit is 12.
Learn more about cards at https://brainly.com/question/5858025
#SPJ4
If you live in Miami, then you live in
Florida.
Choose the equivalent statement.
A. If you live in Florida, then you live in Miami.
B. If you don't live in Miami, then you don't live in
Florida.
C. If you don't live in Florida, then you don't live in
Miami.
Answer: the answer is c.
Step-by-step explanation:
A candy distributor needs to mix a 10% fat-content chocolate with a 60% fat-content chocolate to create 100 kilograms of a 25% fat-content chocolate. How many kilograms of each kind of chocolate must they use
The candy distributor must use 70 kg and 30 kg of 10% fat-content chocolate and 60% fat-content chocolate respectively.
How to find the correct quantity of chocolate that should be used?Let x be the quantity of 10% fat-content chocolate.
Fat in 10% fat-content chocolate + Fat in 60% fat-content chocolate = Total fat in 25% fat-content chocolate
0.10x + 0.60(100 - x) = 0.25*100
10x + 60*100 - 60x = 25*100
-50x = 25*100 - 60*100
-50x = 100(25 - 60)
50x = 3500
x = 3500/50
x = 70 kg
This is the quantity of 10% fat-content chocolate required.
100 - x = 30 kg
This is the quantity of 60% fat-content chocolate required.
Therefore, we have found that the candy distributor must use 70 kg and 30 kg of 10% fat-content chocolate and 60% fat-content chocolate respectively.
Learn more about forming equations here: https://brainly.com/question/18296269
#SPJ4
When she adds 2 to both sides, the equation 4x = 3x results. Which solution will best illustrate what happens to x ?
The solution will illustrate that the equation has one solution at x=0.
Given that adds 2 to both sides, the equation 4x = 3x results.
An algebraic equation may be described as a mathematical declaration wherein expressions are set the same as every other.
The equation is 4x=3x.
As given that add 2 on both sides, we get
4x+2=3x+2
Now, we will subtract 3x from both sides, we get
4x+2-3x=3x+2-3x
x+2=2
Further, we will subtract 2 from both sides, we get
x+2-2=2-2
x=0
Hence, When adds 2 to both sides, the equation 4x = 3x results that the equation has one solution x=0.
Learn more about solution from here brainly.com/question/13729904
#SPJ1
An aircraft seam requires 21 rivets. The seam will have to be reworked if any of these rivets is defective. Suppose rivets are defective independently of one another, each with the same probability. (Round your answers to four decimal places.) (a) If 23% of all seams need reworking, what is the probability that a rivet is defective
For Part A the probability is 0.0095 and for Part B the probability is
0.0043.
What does defective mean in probability?Probability of defect is perhaps the most important indicator of a manufacturing process's quality. It's a statistical technique used to indicate how often a product will fail during its lifespan, which in turn allows you to estimate the likelihood that an item will result in customer dissatisfaction.
Part A:
The number of rivets=22 rivets
Probability that no rivet is defective= [tex](1-p)^{22}[/tex]
The probability that at least one rivet is defective=1-[tex](1-p)^{22}[/tex]
For 19% of all seams need reworking, probability that a rivet is defective is given by
1-[tex](1-p)^{22}[/tex] = 0.19
[tex](1-p)^{22} = 1-0.19\\(1-p)^{22} = 0.81\\ p=1-\sqrt[22]{0.81} \\p=0.0095[/tex]
Part B:
For 9% of all seams need reworking, probability of a defective rivet is:
1-[tex](1-p)^{22}[/tex] = 0.09
[tex](1-p)^{22} = 1-0.09\\(1-p)^{22} = 0.91\\ p=1-\sqrt[22]{0.91} \\p=0.0043[/tex]
Hence, For Part A the probability is 0.0095 and for Part B the probability is 0.0043.
To learn more about the Probability from the given link:
https://brainly.com/question/14530744
#SPJ4