Answer:
La probabilidad de que tanto el caballo como la vaca vivan 20 años es [tex]\frac{2a}{3b}[/tex], en que [tex]\frac{a}{b}[/tex] es la probabilidad de que una vaca viva 20 años.
Step-by-step explanation:
Probabilidades Independientes:
Quanto las probabilidades de dos eventos son independientes, la probabilidad de los dos ocurrir simultáneamente es la multiplicacion de las dos probabilidades.
La probabilidad de que un caballo viva 20 años es dos tercios
Entonces [tex]P(C) = \frac{2}{3}[/tex]
La de una vaca viva 20 años es
Incomplete, entonces dire que es [tex]P(V) = \frac{a}{b}[/tex]
Cuál es la probabilidad de que tanto el caballo como la vaca vivan 20 años
[tex]P(C \cap V) = P(C) \times P(V) = \frac{2}{3}*\frac{a}{b} = \frac{2a}{3b}[/tex]
La probabilidad de que tanto el caballo como la vaca vivan 20 años es [tex]\frac{2a}{3b}[/tex], en que [tex]\frac{a}{b}[/tex] es la probabilidad de que una vaca viva 20 años.
La probabilidad de que tanto el caballo como la vaca vivan 20 años es [tex]\frac{2}{5}[/tex].
Sean [tex]A[/tex] y [tex]B[/tex] dos eventos independientes aunque no mutuamente excluyentes, es decir, que la esperanza de vida del caballo ([tex]A[/tex]) no dependa de la esperanza de vida de la vaca ([tex]B[/tex]) y viceversa y que pueden ocurrir al mismo tiempo.
En este caso, la probabilidad de que tanto el caballo como la vaca vivan 20 años equivale a una operación de intersección que se manifiesta en la siguiente ecuación:
[tex]P(A \cap B) = P(A)\cdot P(B)[/tex] (1)
Si sabemos que [tex]P(A) = \frac{2}{3}[/tex] y [tex]P(B) = \frac{3}{5}[/tex], entonces la probabilidad de que tanto caballo como la vaca vivan 20 años es:
[tex]P(A\cap B) = \frac{2}{3}\times \frac{3}{5}[/tex]
[tex]P(A\cap B) = \frac{2}{5}[/tex]
La probabilidad de que tanto el caballo como la vaca vivan 20 años es [tex]\frac{2}{5}[/tex].
Invitamos cordialmente a ver esta pregunta sobre probablidades: https://brainly.com/question/24290732
Nota - El enunciado original presenta omisiones y errores tipográficos, la forma completa se presenta a continuación:
La probabilidad de que un caballo viva 20 años es de dos tercios y la de que una vaca viva 20 años es de tres quintos. ¿Cuál es la probabilidad de que tanto el caballo como la vaca vivan 20 años?
Question 5 of 10 For what value of x is the rational expression below equal to zero? (x-3)(x + 1 A-3 B. -1 C. 1 D. 3
Answer:
x = 3
Step-by-step explanation:
(x - 3) (x - 1) = 0
(x * x) - 2x + 3 = 0 ( quadratic equation)
[tex] {a}^{2} + bx + 3 = 0[/tex]
by the formula above (on the pic) x = 0
you can check it!
Mrs. Crosland asked students to factor the expression 282
8. The students offered the answers shown in the box.
Carlos:
Danny
Trener
2(14%
74x1)
407x - 2)
Which student(s) offered answer(s) equivalent to the original expression?
only Danny
only Irene
both Carlos and Danny
both Carlos and Irene
Well formatted version of the question can be found in the picture attached below :
Answer:
Both Carlos and Irene
Step-by-step explanation:
Given the expression (28x - 8)
Carlos : 2(14x - 4)
Danny : 7(4x - 1)
Irene : 4(7x - 2)
The factored expression Given by Carlos, Irene and Danny can be expanded to check if it gives the same expression as that Given in the question :
Carlos :
2(14x - 4)
2*14x - 2*4
28x - 8
Danny :
7(4x - 1)
7*4x - 7*1
28x - 7
Irene :
4(7x - 2)
4*7x - 4*2
28x - 8
From.the expanded solutions obtained ;
Both Carlos and Irene's solution corresponds to the factored form of the original equation and are Hence correct
When a certain basketball player takes his first shot in a game he succeeds with prob. 1/3. If he misses his first shot, he loses confidence and his second shot will go with prob. 1/4. If he misses his first 2 shots, his third shot will go with pro. 1/5. If he misses his first 3 shots, his fourth shot will go with prob. 1/6. If he misses his first 4 shots, the coach will remove hom from the game. Assume that the player keeps shooting until he succeeds or he is removed from the game. Let X denote the number of shots he misses until his first success or until he is removed from the game.
Required:
a. Compute the p.m.f. of X
b. Compute E[X]
Answer:
X : ____ 0 ____1 ____ 2 ____ 3 ____ 4
P(x) : _ 0.333_0.167 _0.100_0.067__0.333
E(X) = 1.9
Step-by-step explanation:
From the question above:
X ; number of misses
For :
X = 0 ; P(X = 0) = 1/3 = 0.333
X = 1 ; misses first ; succeeds on second
P(X = 1) = 2/3 * 1/4 = 2/12 = 1/6 = 0.167
X = 2 ; misses first, misses second, succeeds on third
P(X = 2) = 2/3 * (1 - 1/4) * 1/5 = 2/3*3/4*1/5 = 6/60 = 1/10 = 0.10
X = 3 :misses first, misses second, misses third succeeds on fourth
P(X = 3) = 2/3 * 3/4 * (1 - 1/5) * 1/6 = 2/3*3/4*4/5*1/6 = 24/360 = 0.067
X= 4
P(X =4) = 2/3 * 3/4 * 4/5 * 5/6 = 120/ 360 = 1/3 = 0.333
X : ____ 0 ____1 ____ 2 ____ 3 ____ 4
P(x) : _ 0.333_0.167 _0.100_0.067__0.333
E(X) :
Σx*p(x) = (0*0.333) + (1*0.167) + (2*0.100) + (3*0.067) + (4*0.333)
0 + 0.167 + 0.2 + 0.201 + 1.332
= 1.9
Please hurry I have 2 weeks of school left I need to pass
Answer:
41.5 hours
Step-by-step explanation:
310.42 divided by 7.48 = 41.5 hours
Which graph represents the solution to (x – 3)2 + (y + 4)2 > 36?
Answer:
second choice
Step-by-step explanation:
edge
The region outside the circle is under the consideration. Then the correct option is B.
What is an equation of a circle?A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x – h)² + (y – k)² = r²
The inequality equation of the graph is given below.
(x – 3)² + (y + 4)² > 36
(x – 3)² + (y + 4)² > 6²
From the equation, the radius of the circle will be 6 units and the center of the circle will be (3, –4).
The region outside the circle is under the consideration.
Then the correct option is B.
The graph is given below.
Learn more about the equation of a circle here:
https://brainly.com/question/10165274
#SPJ5
hotel has 44 storeys Each storey has 18 rooms
What is the total number of rooms in the hotel?
Answer:
792
Step-by-step explanation:
Match each equation with the appropriate type of factoring.
1.
12x2−44x+7
2.
18x3−2x2+27x−3
3.
x2+5x−36
4.
4x2−81
5.
32x3−4
Difference of Squares
GCF
Grouping
Quadratic Trinomial a≠1
Quadratic Trinomial a=1
HELP PLEASE
68 POINTS!
BRAINLIEST
You can zoom in on the photo for it to be clearer!!
A mom buys a water bottle and a jersey for each of the 10 players on the volleyball team. Each jersey costs $6.70. The mom spends a total of $221 for water bottles and jerseys. Enter an equation that modes the situation with u, the cost of one water bottle.
Answer:
one water bottle cost 15.4 dollars
Step-by-step explanation:
6.7 times 10 is 67
therefore the mom spent 67 dollars on jerseys
221 (total) minus 67 ( jersey) = 154
therefore she spent 154 dollars on water
154 divided by 10
=15.4
the water bottles cost 15.4 dollars
Find the common ratio for the following sequence .1, .01, .001
Answer:
0.1
Step-by-step explanation:
The common ratio of a sequence is the number you multiply one term to get the next one. Here, we multiply 0.1 by 0.1 to get 0.01, and 0.01 by 0.1 to get 0.001, so our common ratio is 0.1.
Which value is nearest to 8? Show thinking in the space provided.
7.511 155/20 8.3%
Answer:
155/20
Step-by-step explanation:
155/20 in decimal form is 7.75, which is only 0.25 off of 8
7.511 is 0.489 off of 8
8.3% is technically not anywhere near 8 because a percentage needs to be a percentage of something in order to make sense.
If f(x) = x* and g(x) = 3+8x?, find g(f(x)).
g(8x-3)=x
have a good day
9x^3−64 to factored form
Answer: its 3(3x^3-8)
Step-by-step explanation:
The bottom of a circular swimming pool with a diameter of
9 meters is painted blue. How many square meters are blue?
Answer: hi
Step-by-step explanation: sorry needed points
PLEASE SOLVE AND EXPLAIN !!!
Answer:
3.46
Step-by-step explanation:
What is the slope of a line parallel to the line whose equation is 6x - y = 1. Fully
reduce your answer.
Answer:
6x
Step-by-step explanation:
To find a parallel line, you will need to put everything into the slope intercept form(y=mx+b).
When you do this, you should get -y=-6x+1. You cannot have a negative y, so you will divide everything by -1 to get y=6x-1.
Two lines are parallel when their slope is the same. The slope in this equation is 6.
Mr.Rivera can grade 8 math tests in 10 minutes what is the teachers unit rate?
Answer:
0.8
Step-by-step explanation:
Answer: 1 minute and 25 seconds
Step-by-step explanation:
f(2)=−14 and g(2)=13 Find (f+g)(2).
Answer: The value of (f+g)(2) = -1
Step-by-step explanation:
Given: f(2)=-14 and g(2)=13
To find: (f+g)(2)
Addition of two functions:
(f+g)(x) = f(x)+g(x)
Then, (f+g)(2) = f(2)+g(2)
(f+g)(2) = -14+13 [given]
(f+g)(2) = -1
Therefore , the value of (f+g)(2) = -1
What is this question ?
Augustus ruled the roman empire from 27 BC to AD 14.For how many years did he rule?
Answer:
40 years
Step-by-step explanation:
He was also the first Roman Emperor
how many solutions does y equals -6x - 7 have
Answer:
Infinitely many solutions.
Step-by-step explanation:
x can be any number, and the y will change with x.
For the function f(x) = -3sin(x) + 2, the distance between the maximum and minimum values is 6. Which statement must be true about this function? HINT: It's not B.
A. The amplitude is 3.
B. The midline is y = 3.
C. The period of the function is 3pi.
D. The range is [-3, 3].
Answer: A. The amplitude is 3.
Step-by-step explanation:
Given function : [tex]f(x) = -3sin(x) + 2[/tex]
Period of a sine function is [tex]2\pi.[/tex]
Since [tex]-1\leq \sin x \leq 1[/tex]
[tex]\Rightarrow\ -3\leq -3\sin x\leq 3\\\\\Rightarrow\ -3+2\leq -3\sin x+2\leq 3+2\\\\\Rightarrow\ -1\leq -3\sin x+2\leq 5[/tex]
i.e. Range is [-1,5]
Amplitude = 3 [coefficient of sin x]
Only option A. is correct.
que es una fracion ?
ayudenme plisssssssssssss
Answer:
Parte dividida o separada de un todo considerada por separado.
Step-by-step explanation:
Answer:
Una cantidad numérica que no es un número entero.
Step-by-step explanation:
How many solutions does 5x+24=5(x+5)
Answer:
There are no solutions.
Determine the intercepts of the line.
y + 5 = 2(x + 1)
y-intercept:
T-intercept:
Answer:
3 5 minus 2 equal 3 plus 1 equals 4
What Is the dependent variable the shoe size or the height
Answer:
The dependent variable is the shoe size
Step-by-step explanation:
Jonny is writing a program for a video game. For one part of the game he uses the
rule given below to move objects on the screen. Showing all your work, give the output that the rule gives for the inputs.
(x, y) --> (x-8.2, y+3.6)
First input: (7.6, 9.3)
Second input: (10.5, -2.1)
Answer:
[tex](-0.6,12.9)[/tex]
[tex](2.3,1.5)[/tex]
Step-by-step explanation:
Given: For one part of the game, Jonny uses the rule [tex](x,y)[/tex] → [tex](x-8.2,y+3.6)[/tex] to move objects on the screen.
To find: outputs for the given inputs
Solution:
Given rule is [tex](x,y)[/tex] → [tex](x-8.2,y+3.6)[/tex]
Put the first input as [tex](x,y)=(7.6,9.3)[/tex]
Output is [tex](x-8.2,y+3.6)=(7.6-8.2,9.3+3.6)=(-0.6,12.9)[/tex]
Given rule is [tex](x,y)[/tex] → [tex](x-8.2,y+3.6)[/tex]
Now, put input the second input as [tex](x,y)=(10.5,-2.1)[/tex]
Output is [tex](x-8.2,y+3.6)=(10.5-8.2,-2.1+3.6)=(2.3,1.5)[/tex]
Answer:
(-3.2 , 12.3)
(0.7 , 3.6)
The rule :
(x, y)→(x−7.5, y+6.8)
For the x - coordinate ; Subtract 7.5
For the y - coordinate `; add 6.8
First input : (4.3, 5.5)
Output :
x = 4.3 - 7.5 = - 3.2
y = 5.5 + 6.8 = 12.3
Output = (4.3, 5.5) →(-3.2 , 12.3)
Second input : (8.2, -3.2)
Output :
x = 8.2 - 7.5 = 0.7
y = - 3.2 + 6.8 = 3.6
Output = (8.2, -3.2)→(0.7 , 3.6)
The outputs obtained are :
(-3.2 , 12.3) and (0.7 , 3.6)
Select the term for what a manufacturer spends for goods or services.
A.
cost
B.
price
C.
markup
Answer:
A: Cost
Step-by-step explanation:
Plato
A regular hexagon is shown below. Find the value of x.
(11x + 21)°
Answer:
x=9
Step-by-step explanation:
The expression is for the interior angle of the hexagon; one interior angle is equal to .
Since an interior angle of a hexagon measures 120°, we have the equality
.
Now it is just a matter of solving for
11x=120-21
11x=99
x=99/11
x=9
The value of {x} for the hexagon shown is 9.
What is Hexagon?A hexagon is a polygon with 6 equal sides. The perimeter of a hexagon is the sum of all the six lengths. The measure of the interior angle of a hexagon is 120 degrees.
Given is to find the value of {x} in the Hexagon shown below.
The measure of the internal angle of a hexagon is 120 degrees. So, we can write -
(11x + 21) = 120
11x = 120 - 21
11x = 99
x = 9
Therefore, the value of {x} for the hexagon shown is 9.
To solve more questions on HEXAGONS, visit the link below-
https://brainly.com/question/14372779
#SPJ3
i need your help with math please help
Answer: 1) y= 9, 4, 1, 0, 1, 4, 9
Step-by-step explanation: