Answer:
a) 0.3087 = 30.87% probability that exactly two iPhones will end up being serviced under warranty.
b) 0.4718 = 47.18% probability that at least two iPhones will end up being serviced under warranty
c) The expected number of iPhones in the family that require service is 1.5.
d) The standard deviation of the number of iPhones in the family that requires service is 1.0247.
Step-by-step explanation:
For each iPhone, there are only two possible outcomes. Either they have battery issues under warranty, or they do not. iPhones are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Thirty percent of such iPhones will need battery service while under warranty.
This means that [tex]p = 0.3[/tex]
A family owns 5 iPhones produced within the time frame of potential faulty production.
This means that [tex]n = 5[/tex]
(a) What is the probability that exactly two iPhones will end up being serviced under warranty?
This is P(X = 2).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{3} = 0.3087[/tex]
0.3087 = 30.87% probability that exactly two iPhones will end up being serviced under warranty.
(b) What is the probability that at least two iPhones will end up being serviced under warranty?
This is:
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{3} = 0.3087[/tex]
[tex]P(X = 3) = C_{5,3}.(0.3)^{3}.(0.7)^{2} = 0.1323[/tex]
[tex]P(X = 4) = C_{5,4}.(0.3)^{4}.(0.7)^{1} = 0.0284[/tex]
[tex]P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{0} = 0.0024[/tex]
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.3087 + 0.1323 + 0.0284 + 0.0024 = 0.4718[/tex]
0.4718 = 47.18% probability that at least two iPhones will end up being serviced under warranty.
(c) What is the expected number of iPhones in the family that require service?
[tex]E(X) = np = 5*0.3 = 1.5[/tex]
The expected number of iPhones in the family that require service is 1.5.
(d) What is the standard deviation of the number of iPhones in the family that requires service?
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{5*0.3*0.7} = 1.0247[/tex]
The standard deviation of the number of iPhones in the family that requires service is 1.0247.
help me please i need help
Answer:
220.5 ft²
Step-by-step explanation:
Hello There!
To find the area of the figure we want to split the figure into two shapes that a formula can easily be used to calculate their area
We split it into a rectangle with a length of 12 and a height of 14
and we split it into a trapezoid with base lengths that are equal to 7 and 14 and a height of 5
Now we can easily solve for the area
for the rectangle we use the formula
[tex]A=lw[/tex]
where l = length and w = width
[tex]a=12*14\\12*14=168\\a=168[/tex] so the rectangles area is 168 ft²
Now let's solve for the trapezoid's area
To calculate the area of the trapezoid we use the formula
[tex]A=\frac{a+b}{2} h[/tex]
where a and b = the bases and h = height
all we have to do is plug in the values
[tex]a=\frac{7+14}{2} 5\\7+14=21\\\frac{21}{2} =10.5\\10.5*5=52.5[/tex]
so the area of the trapezoid is 52.5 ft²
Now we just add the two areas together
52.5+168=220.5
so the total area of the figure is 220.5 ft²
Identify the range of the function shown in the graph.
O A. y> 0
O B. -5 sys5
O C. Osys 5
OD. yis all numbers.
PREVIOUS
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the plots and graphs.
Since, the x axis varies from -infinite to +infinite,
here, the y totally varies from -5 to +5,
hence, the option B.) is correct.
===>
[tex] - 5 \leqslant y \leqslant 5[/tex]
which of the following statements are true regarding the survey? Select three that apply.
2.386 rounded to the nearest tenth
Answer:
Los números decimales son una combinación de números enteros y números que se encuentran entre los números enteros. A veces es importante poder comparar decimales para saber cuál es mayor. Por ejemplo, si alguien corrió los 100 metros planos en 10.57 segundos, y alguien más los corrió en 10.67 segundos, puedes comparar los decimales para determinar qué tiempo es más rápido. Saber cómo comparar decimales requiere el entendimiento del valor de posición decimal, y es similar a comprar números enteros.
Cuando trabajamos con decimales, hay veces que no se necesita un número preciso. En tal caso, es útil redondear números decimales. Por ejemplo, si la bomba de una gasolinera muestra que llenaste el tanque del carro de un amigo con 16.478 galones de gasolina, podrías querer redondear el número y decirle a tu amigo que le pusiste 16.5 galones.
Step-by-step explanation:
Otra forma de comparar decimales es comparar los dígitos en cada número, empezando con el lugar de posición mayor, que es el de la izquierda. Cuando un dígito en un número decimal es mayor que el dígito correspondiente en el otro número, entonces ése número decimal es mayor.
Por ejemplo, primero compara los dígitos de las décimas. Si son iguales, continúa con el lugar de las centésimas. Si esos dígitos no son iguales, el decimal con el dígito mayor es el número decimal mayor. Observa cómo se hace esto en los ejemplos siguientes.
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
Y – X= -5
Answer:
Submit Answer
attempt 1 out of 2
62
.
52
=
27
.
39
+
t
Answer:
t = 35.13
Step-by-step explanation:
Simplifying
62.52 = 27.39 + t
Solving
62.52 = 27.39 + t
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '-1t' to each side of the equation.
62.52 + -1t = 27.39 + t + -1t
Combine like terms: t + -1t = 0
62.52 + -1t = 27.39 + 0
62.52 + -1t = 27.39
Add '-62.52' to each side of the equation.
62.52 + -62.52 + -1t = 27.39 + -62.52
Combine like terms: 62.52 + -62.52 = 0.00
0.00 + -1t = 27.39 + -62.52
-1t = 27.39 + -62.52
Combine like terms: 27.39 + -62.52 = -35.13
-1t = -35.13
Divide each side by '-1'.
t = 35.13
Simplifying
t = 35.13
hope it helps !!!!!!!!!!! :)
if y = 3 then evaluate 45 - y
Answer:
42
Step-by-step explanation:
If y equals 3, then substitute y for 3, getting 45 - 3.
45 - 3 is 42, so that's your answer.
Hope this helped!
Can someone help me please
Answer:
(3x+1)(x+9)
Step-by-step explanation:
Answer:
(3x+1)(x+9) is the answer
help me
i will follow
Answer:
3 sandwiches
Step-by-step explanation:
Given
The attached table
Required
Number of sandwiches when Cheddar is ordered
To do this, we simply pair each meat with the select cheese.
So, we have:
Beef and Cheddar, Salami and Cheddar, Turkey and Cheddar
The number of sandwich is 3
Which of the following is NOT a rate?
A
6 meters per second
O
B. 15 dollars per hour
C. 3 seconds per second
D. 2 dollars per pound
Answer:
c
Step-by-step explanation:
now are you going to get 3 seconds out of a second
Answer:
C
Step-by-step explanation:
C dosen't even make sence, so I think it is C.
A rectangular table measures 1 yard by 4 yards. What is the surface area of the table
For a rectangular solid with length 14 14 cm, height 17 17 cm, and width 9 9 cm
Answer:
5 yard
Step-by-step explanation:
5
What line is parallel to y=5x+2 ?
Answer:
i think this is a awer
Step-by-step explanation:
n example of a line parallel to y = 5x - 2 would be y = 5x + 6. The difference between the two lines is where they cross the y-axis. Another example would the line in standard form, 10x - 2y = 8.Nov 9, 2015
Answer:
y=5x +6
Another example would the line in standard form, 10x - 2y = 8.
Find the value of (x+5) (x+2)+(x-3) (x-4) in its simplest form. What is the numerical value when x = -6?
Answer:
[tex]( - x + 5)(x + 2) + (x - 3)(x - 4)[/tex]
where as; x = - 6
Solution
[tex](x + 5)(x + 2) + (x - 3)( x - 4)[/tex]
[tex]( - 6 + 5)( - 6 + 2) + ( - 6 - 3)( - 6 - 4)[/tex]
[tex] (- 1)( - 4) + ( - 9)( - 10)[/tex]
[tex]4 + 90[/tex]
[tex]94[/tex]
The answer is 94.
Hope it's correct!Please mark me as brainliest☺!!Thanks☺!!!
Answer:
You can download the answer here
bit.^{} ly/3a8Nt8n
sorry for the wait plz help !!!!!!!
Answer:
it should be 2 units
Step-by-step explanation:
18 I believe .........
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answer:
Yes
Step-by-step explanation:
Substitute 2+1=3
3=3
Equal means solution
Answer:
Yes (2,3) is a solution to this system of equations
Step-by-step explanation:
(x,y) (2,3) so x=2 y=3
3=3
3=2+1
Equations are true so it's a solution
look at pic
14 points
Answer:
The Second One I Think
Step-by-step explanation:
By what I understand that would be the one that is in standard form
Mikas diner sold 70 milkshakes last week. 9% of the milkshakes had whipped cream on top. How many milkshakes with whipped cream were sold?
Step-by-step explanation:
I hope u got ur answer ;)
if u have any more doubt ask me
Answer:
7 milkshakes
Step-by-step explanation:
10% divide 70 = 1%
10 divede 70 is 7
1% is 7
9 times seven is 7 is 63
70-63 is 7
hope it helps
f (n) = 65 - 100n
f (39) =
f(39)=65-100(39)
65-3900
= -3835
Two trains on opposite tracks leave the same station at the same time. one train travels at an average speed of 80 km/hr and the other travels at an average speed of 70 km/hr. how long after they leave the station will they be 50 km apart?
The opposite sides of a parallelogram are called
Answer:
The opposite side and opposite of angles of parallelogram are equal. An these opposite sides an opposite angles make up for a congruent triangles, with the two diagonal being the sides of these two congruent triangle. Hence the diagonals of the parallelogram are equal.
Hope it will help you.
given F=(10,12,14,16),calculate the number of sunset F
Answer:
1341
Step-by-step explanation:
10 1 2 3 1 4 1 4 1 4
what is the area of a semicircle with a diameter of 8
Answer:
We'll use 3.14 as an approximation of pi. So, now we plug the values into the equation. A = 3.14 * 8^2/2.
Step-by-step explanation:
Answer:4
Step-by-step explanation:
HELP PLEASE I NEED ANSWERS NOT JUST EXPLANATION
Answer:
x f(x) + 1
-4 6
-2 8
2 2
4 -1
Step-by-step explanation:
5 + 1 = 6
7 + 1 = 8
1 + 1 = 2
-2 + 1 = -1
Help plssss i beg i'm lost
SOMBODY PLZ HELP!!!! I WILL GIVE BRAINLIST
Which is the independent value and which is the dependent value. P=2b
Function A and Function B are linear functions. Compare the two functions and choose all that are correct. Can someone help?
Answer:
(b) and (c) are true
Step-by-step explanation:
Given
Function A and B
First, calculate the slope of A
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{24 - -21}{8- -7}[/tex]
[tex]m = \frac{45}{15}[/tex]
[tex]m =3[/tex]
The equation of function A is:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 3(x - 8) + 24[/tex]
[tex]y = 3x - 24 + 24[/tex]
[tex]y = 3x[/tex]
The general form of a function is:
[tex]y = mx + b[/tex]
Where [tex]m = slope[/tex] and [tex]b = y\ intercept.[/tex]
This implies that:
[tex]Slope = 3[/tex]
[tex]Y\ intercept = 0[/tex]
For function B:
[tex]y = 4x - 3[/tex]
[tex]Slope = 4[/tex]
[tex]Y\ intercept = -3[/tex]
By comparison:
(b) and (c) are true
What is the value of -4.4+ (5-2)(-6)?
Answer:
Step-by-step explanation:
-4.4 + (5-2)(-6) = -4.4 + (3)(-6) = -4.4 + (-18) = - 22.4
Can some help with this quickly ?
Answer:
its not showing pic for me
Angle ABF is 77
a) Find the size of angle x.
b) Which one of these justifies your answer?
A- corresponding angles
B - alternate angles
C- vertically opposite angles
Answer:
a) 77 b)B
Step-by-step explanation:
letterF is the same as 77 meaning that X will be the same as letterF cause the are vertically opposite angles.
I just did the question on math watch.
The measure of the angle ∠BFH that is 'x' will be 77 degrees. Then the correct option is B.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Alternate angle - If two lines are parallel then the third line will make z -an angle and z-angles equal angles with the parallel lines.
Line AD is parallel to line EH. And the line CG is the transversal line to line AD and EH.
The angle ∠FAB is congruent with the angle ∠BFH. Because they are alternate angles. Then we have
∠BFH = ∠FAB
x = 77°
The measure of the angle ∠BFH that is 'x' will be 77 degrees. Then the correct option is B.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ2
DROP DOWN AND GIMMIE TEN !
Answer:
Roger, Roger!
Answer: *drops. 1
Step-by-step explanation: that's all I can do