Responder:
0,1536
0.0256
0.4096
Explicación paso a paso:
Dado que :
p = 0,2
Número de ensayos, n = 4
1 - p = 1 - 0,2 = 0,8
Probabilidad de que 2 sean defectuosos;
Usando la fórmula de distribución binomial:
P (x = 2)
P (x = x) = nCx * p ^ x * (1 - p) ^ (n - x)
P (x = 2) = 4C2 * 0.2 ^ 2 * 0.8 ^ 2
P (x = 2) = 6 * 0,04 * 0,64
P (x = 2) = 0,1536
3 están defectuosos:
P (x = 3) = 4C3 * 0,2 ^ 3 * 0,8 ^ 1
P (x = 3) = 4 * 0,008 * 0,8
P (x = 3) = 0,0256
Probabilidad de que ninguno sea defectuoso:
P (x = 0) = 4C0 * 0.2 ^ 0 * 0.8 ^ 4
P (x = 0) = 1 * 1 * 0,4096
P (x = 0) = 0,4096
Usando la distribución binomial, se encuentra que hay una probabilidad de:
a) 0.1536 = 15.35% que 2 sean defectuosos.
b) 0.0256 = 2.56% que 3 sean defectuosos.
c) 0.4096 = 40.96% que ninguno sea defectuosos.
Para cada objeto, solo hay dos resultados posibles. O está defectuoso o no lo es. La probabilidad de que un objeto sea defectuoso es independiente de cualquier otro ítem, lo que significa que se utiliza la distribución binomial para resolver esta cuestión.
Distribución binomial:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Los parámetros son:
n es el número de ensayos. p es la probabilidad de éxito en un ensayo x es el número de éxitosEn este problema:
4 objetos, por eso [tex]n = 4[/tex].20% son defectuosos, por eso [tex]p = 0.2[/tex].Item a:
Esta probabilidad es P(X = 2), o sea:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.2)^{2}.(0.8)^{2} = 0.1536[/tex]
Probabilidad de 0.1536 = 15.35% que 2 sean defectuosos.
Item b:
Esta probabilidad es P(X = 3), o sea:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{4,3}.(0.2)^{3}.(0.8)^{1} = 0.0256[/tex]
Probabilidad de 0.0256 = 2.56% que 3 sean defectuosos.
Item c:
Esta probabilidad es P(X = 0), o sea:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.2)^{0}.(0.8)^{4} = 0.4096[/tex]
Probabilidad de 0.4096 = 40.96% que ninguno sea defectuosos.
Un problema similar es dado en https://brainly.com/question/25132113
Find the midpoint between the two points: (-7, 9) and (5, -1).
(4,5)
(3, 4)
(-1,4)
(5,5)
A pack of gum is in the shape of a rectangular prism with a length of 5 centimeters and width of 2 centimeters. The volume of the gum is 60 cubic centimeters. What is the height of the pack of gum? The height of the pack of gum is cm.
10 x 10 +100 – 1000 = X
Answer:-800
Step-by-step explanation: 10 times 10 is 100 plus another 100 is 200-1000 is -800 which is x
Answer:
-800
Step-by-step explanation:
since you need to mutiply first,
10 x 10 + 100 - 1000 = X
100 + 100 - 1000 = X
200 - 1000 = X
-800 = X
hope it helps!!!
Is it point s,w,v, or R PLEase HELP
If h(x) = (f o g)(x) and h(x) = sqrt(x+5), find g(x) if f(x) = sqrt(x+2)
Answer:
g(x) = x + 3Step-by-step explanation:
Givenh(x) = (f ο g)(x)h(x) = [tex]\sqrt{x+5}[/tex]f(x) = [tex]\sqrt{x+2}[/tex]To findg(x)SolutionWe know that:
(f ο g)(x) = f(g(x))Substitute x with g(x) and solve for g(x):
[tex]\sqrt{x+5}[/tex] = [tex]\sqrt{g(x)+2}[/tex]x + 5 = g(x) + 2x + 3 = g(x)g(x) = x + 36x + 7b - 7x + 10x
What is the answer to this question?
Answer:7b+9x
Step-by-step explanation:hope I helped
Suzy makes 20 dollars an hour at her job. Bill only makes 10 dollars an hour but he has a starting bonus of 20. When will Suzy and Bill make the same amount of money for the same number of hours worked? How much will they both earn at the same time?
Answer:
2 hours
Suzy would earn $40
Bill will earn $40
they will both earn $80
Step-by-step explanation:
The total amount suzy earns is a function of the total hours worked. Let t represent time
total income of suzy = $20t eqn 1
Bill's income = starting bonus + variable pay
= $20 + $10t
We are looking for when they would earn the same amount :
20t = $20 + $10t eqn 2
collect like terms and solve for t
10t = $20
t = 2 hours
Substitute for t in either eqn 1 or 2
20(2) = $40
Suzy would earn $40
Bill will earn $40
they will both earn $80
What do I do I don’t know the answer
Answer:
B) 114.511m^3
Step-by-step explanation:
Formula of a cylinder is πr^2 x h
r = radius (half of diameter)
h = height
Since it is 3/4 full you only do 3/4 of the height so- 0.75 x 9.60 which equals 7.2
Half of the diameter is 2.25. 2.25^2 = 5.0625.
The volume of the cylinder = 5.0625π x 7.2
By solving this, you will get approximately 114.511 m^3 as your answer.
21x+9 =
Help please
Answer:
3
Step-by-step explanation:
cross multiply
El costo total en pesos para producir calcomanías,es el monto del alquiler del local más 1.5 veces el número de calcomanías producidas por día
Answer:
.......................................................
sales of 10 000 increase by 65 each year
Answer:
Whats the question
Step-by-step explanation:
also if you are looking for the unit rate its 153.846...
or if you are looking for how many in 2 years then 650,000
Hope this helps
Have a nice day :)
I need this fast!! Sam scores 4 goals per game. What is the rate unit of this rate?
A. games
B. goals per game
C. 4
D. goals
Answer:
B: goals per game
Step-by-step explanation:
She will atleast score 4 goals per game
(-4,-4), (1,3)
Find the distance and slope between each pair of points.
Convert the angle 0=17pie/18 radians to degrees.
Express your answer exactly.
Find the missing values in the ratio table. Then write the equivalent ratios. (pls help me fill out the rest!)
Step-by-step explanation:
[tex] \frac{6}{2} = \frac{3}{1 } = \frac{12}{4} = \frac{15}{5} \\ [/tex]
Which two ordered pairs satisfy the equation y = 3x + 2 ?
* (0, 2) and (2, 8)
(1, - 1) and (- 2, 8)
(0, 2) and (- 1, 1)
(2, 8) and (0, 5)
what is the mean median mode range of 3,14,7,12,4,9,16,4,8,20
First, order the number set from least to greatest:
3 , 4 , 4 , 7 , 8 , 9 , 12 , 14 , 16 , 20
Mean: You find the mean by combining all the terms, and dividing by the amount of the terms there are in the number set:
(3 + 4 + 4 + 7 + 8 + 9 + 12 + 14 + 16 + 20)/10
(97)/10 = 9.7
Mean: 9.7
Median: You find the median by first ordering the number set from least to greatest, and finding the middle number. Note that if there is a even number of numbers in the set, you find the mean with the two given median digits:
8 & 9 are the median numbers:
(8 + 9)/2 = (17)/2 = 8.5
Median: 8.5
Mode: The mode is the number(s) in the set that shows up the most:
Mode: 4 (shows up one more time than all other numbers)
Range: The range can be found by subtracting the least number from the greatest number in the number set:
Range: 20 - 3 = 17
Range: 17
~
a car travels a distance of 50 km in 30 minutes. what is the average speed
Answer:
100 km/hour, or 16.67 km/minute
Step-by-step explanation:
1.
Prove that the roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k
The roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k
The equation is given as:
x^2 + (1 - k).x+k-3 = 0
For an equation to have real root, then the following must be true:
[tex]b^2 \ge 4ac[/tex]
In x^2 + (1 - k).x+k-3 = 0, we have:
a = 1
b = 1 - k
c = k - 3
So, we have:
[tex](1 - k)^2 \ge 4 * 1 * (k - 3)[/tex]
Evaluate
[tex]1 - 2k + k^2 \ge 4k - 12[/tex]
Collect like terms
[tex]k^2 - 2k - 4k + 1 + 12 \ge 0[/tex]
[tex]k^2 - 6k + 13 \ge 0[/tex]
Using a graphing calculator, the value of k is all real numbers
Hence, the roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k
Read more about real values at:
https://brainly.com/question/6499629
2)
During a 500 minute car trip, Luke spent 74 minutes listening to his MP3 player, 56 minutes playing video games,
128 minutes watching a movie, and 38 minutes reading. The rest of the time he spent napping. If the time Luke
spent on these four activities is rounded to the nearest ten, about how many minutes did Luke spend napping?
A. 100 min.
B. 200 min.
C. 300 min.
D. 400 min.
Type here to search
O
9:28 PM
3/16/2021
DOLL
Answer:
B.) About 200 minutes napping
Step-by-step explanation:
74+56+128+38=296
500-296=204
204 is about 200
a car with an initial value of $23,00 is decreasing in value at a rate of 8% each year. Write a function, f(x), that expresses the value of the car in x years
Step-by-step explanation:
We would apply the formula for exponential decay which is expressed as
A = P(1 - r/n)^ nt
Where
A represents the value after t years.
n represents the period for which the decrease in value is calculated
t represents the number of years.
P represents the value population.
r represents rate of decrease.
From the information given,
P = 23000
r = 8% = 8/100 = 0.08
n = 1
Therefore, the exponential decay function described in this situation is
A = 23000(1 - 0.08/n)1)^ 1 × t
A = 23000(0.92)^t
If A = 15000, then
15000 = 23000(0.92)^t
0.92^t = 15000/23000 = 0.6522
Taking log of both sides to base 10
Log 0.92^t = log 0.6522
tlog 0.92 = log 0.6522
- 0.036t = - 0.1856
t = - 0.1856/- 0.036
t = 5 years to the nearest year
2.
The rate of change is constant in the graph. Find the rate of change. Explain what the rate of change means for the situation.
A. –3; value drops $3 every year.
B. –1; value drops $1 every year.
C. [tex]-\frac{100}{3}[/tex]; value drops $100 every 3 years.
D. –100; value drops $100 every year.
Answer:
you take 2 points on the graph
(3,300) and (6,200)
and then you do y2 -y1
x2-x1
you plug in the values
200-300
6-3 = -(100)/(3)
every 3 years the resale of a refrigerator decreases by 100 dollars.
its basically the rate that the price goes down for resale value of a refrigerator
Step-by-step explanation:
Let's take the points displayed on this graph:
(300, 3) (200, 6) and (100, 9).
Our first value in the points represents the amount of money for the resale value of a refrigerator, and the second value represents the number of years after the original purchase. So, as we can see, as the years increase, the value goes down $100 dollars every three years.
3 years after original purchase: $300
Increase years by three, value goes down by $100
6 years after original purchase: $200
The rate of change in this situation means that for every resale three years after the original purchase, the value will decrease by $100.
In Mr. Elliot's garden, 1 8 of the flowers are red, 1 4 of them are purple, and 1 4 of the remaining flowers are pink. If there are 128 flowers, how many flowers are pink?
Answer:
20
Step-by-step explanation:
Given that:
Red flowers = 1/8
Purple = 1/4
(1/8 + 1/4) = (1 + 2) / 8 = 3/8
Fraction left :
1 - 3/8 =. 5/8
Pink flowers :
1/4 of fraction left ;
1/4 * 5/8 = 5/32
Number of pink flowers
Total number of flowers = 128
5/32 * 128
640 / 32
= 20
20 pink flowers
The surface area of this cube is 864 square yards. What is the value of q?
Answer:
Volume
=
512
cubic feet
Explanation:
A cube has
6
faces all with equal area.
If the total surface area of the cube is
384
sq.ft.
then each face has an area of
384
÷
6
=
64
sq.ft.
Each face of a cube is a square and if we denote the length of an edge as
E
then the area of a face (in this case
64
sq.ft.) is equal to
E
2
XXX
E
2
=
64
sq.ft.
XXX
→
E
=
8
sq.ft.
The volume of a cube with edges of length
E
is
E
3
In this case
Volume
=
E
3
=
8
3
=
512
sq.ft.
Hope i helped
Guided Practice
Find the slope and y-intercept of the equation.y=[tex]\frac{2}{3}[/tex]x+1
A.
1 ; [tex]\frac{2}{3}[/tex]
B.
23; 1
C.
23; −1
Answer: B. 2/3; 1
Use the slope-intercept form y = m x + b to find the slope m and y-intercept b .
Slope:
(2) /(3)
y-intercept:
( 0 , 1 )
Step-by-step explanation:
Find the slope and y-intercept of the equation. y = (2)/(3)x + 1
Find the Slope and y-intercept
123.7 cm= How many meters?
123.7 cm = 1.237 meters
hope it helps.
what is -8g=240 using one step equation
Answer:
30
Step-by-step explanation:
What is the GCF of 4x^ 2 +6x
Answer:
The GCF of 4x^2 + 6x
is. (2x )
hope it helps
2x
You made a profit of $65,000. You would like to invest the $65,000 into an account that pays you an annual compounded interest rate of 5.5%. You want to make annual withdrawals over the next 10 years such that by the end of this 10 year period, the amount remaining in the account will be zero dollars. Determine, from the given information, the amount of the annual withdrawals. please Round your answer to the nearest cent.
Answer:
d. $8,623.40
Step-by-step explanation:
EDGE 2021
Can someone pls help?
Answer: 2
Step-by-step explanation:
Because if u divide 12÷6=2 2×6=12
Answer: [tex]x=6\sqrt{3}[/tex]
Step-by-step explanation:
[tex]x=\sqrt{12^{2}-6^{2} } =\sqrt{144-36} =\sqrt{108} =6\sqrt{3}[/tex]