Usando la distribución binomial, se encuentra que hay una probabilidad de 0.0012 = 0.12% que realmente haya sido fruto de la coincidencia. El argumento para conseguir que te devuelvan el dinero seria de que 6 ítems defectuosos es un resultado inusualmente alto.
Para cada ítem, solo hay dos resultados posibles. O está defectuoso o no lo es. La probabilidad de que un ítem sea defectuoso es independiente de cualquier otro ítem, lo que significa que se utiliza la distribución binomial para resolver esta cuestión.
Distribuición 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 éxitosLa media de la distribución binomial es:
[tex]E(X) = np[/tex]
La desviación estándar de la distribución binomial es:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Una medida se considera inusualmente alta si está más de 2.5 desviaciones estándar por encima de la media.
En este problema:
10 ítems, o sea, [tex]n = 10[/tex]15% defectuosos, o sea, [tex]p = 0.15[/tex].La probabilidad de que realmente haya sido fruto de la coincidencia es P(X = 6), o sea:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 6) = C_{10,6}.(0.15)^{6}.(0.85)^{4} = 0.0012[/tex]
Probabilidad de 0.0012 = 0.12% que realmente haya sido fruto de la coincidencia.
Para el argumento:
[tex]E(X) = np = 10(0.15) = 1.5[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{10(0.15)(0.85)} = 1.13[/tex]
[tex]6 > 1.5 + 2(1.13)[/tex], o sea, el argumento para conseguir que te devuelvan el dinero seria de que 6 ítems defectuosos es un resultado inusualmente alto.
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PLEASE HELP ITS MATH THANK YOUUUU
Suppose that the relation T is defined as follows.
T={(2, 2), (1, -7), (-5, 3), (3, 0)}
Give the domain and range of T.
Write your answers using set notation.
domain =
range =
Whats 4+4+(6x168) and the answer in Spanish
Which of these is the smallest number?
A. 1 1/2 ( one and one over two)
B. 1/3
C. 1 1/10 (one and one over ten)
D. 1/4
E. 1/2
Answer:
B this is the smallest number
find the value of x and y
will give brainiest
Answer:
[tex]2x + 7 = 3x - 7 \\ 3x - 2x = 7 + 7 = 14 \\ x = 14 \\ 2x + 7 + 12y + 1 = 180 \\ 12y + 36 = 180 \\ 12y = 180 - 36 = 144 \\ y = 144 \div 12 = 12[/tex]
1. Which of the following should you do first when solving the equation 3x + 2 = 4x – 5(x + 6)?
A. divide both sides by 3
B. subtract 2 from both sides
C. distribute the - 5 through the parenthesis (x+6)
D. subtract 4x from both sides
Answer:
(x+6)
Step-by-step explanation: remember gemdas
Groups
Exponents
Multipy
Divide
Add
Ssubtract
10. The graph of linear equations in two variables is a
A. Straight line
B. curve line
D. half line
C. broken line
Here is a Venn diagram that represents the sets A, B and E (the universal set is called
Ein this
problem, this is unusual, but not wrong).
Answer:
i don't know how to answer this
Answer:
there is no diagram so, it is not possible to solve this
I need help asaapppp
Tia went to the Farmers
Market and bought 6
pineapples for $3.49
each. How much money did
Tia spend?
Answer:
20.94$
Step-by-step explanation:
3.49x6 since Tia bought 6 pineapples and they cost 3.49 each and it equals 20.94$. So to buy 6 pineapples at the farmers market it cost 20.94$.
Which of the following are possible
side lengths for a triangle?
A. 9, 4,8
B. 14, 7,6
C. 3, 8, 1
The only set of side lengths that can form a triangle is 9, 4, 8.
Option A is the correct answer.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
Let's check if each of the given sets of side lengths satisfies this condition:
A.
9, 4, 8
9 + 4 > 8 ✓
9 + 8 > 4 ✓
4 + 8 > 9 ✓
All three inequalities are true, so these side lengths can form a triangle.
B.
14, 7, 6
14 + 7 > 6 ✓
14 + 6 > 7 ✓
7 + 6 > 14 ✗
The last inequality is false, so these side lengths cannot form a triangle.
C.
3, 8, 1
3 + 8 > 1 ✓
3 + 1 > 8 ✗
8 + 1 > 3 ✓
The second inequality is false, so these side lengths cannot form a triangle.
Therefore,
The only set of side lengths that can form a triangle is A. 9, 4, 8.
Learn more about triangles here:
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find the slope of (-1,3) and (-5,7)
Answer:
-4/4 = -1
Step-by-step explanation:
yeah-ya...... right?
what is the ratio of hearts to suns write your answer in simplest form for example 8:6 is equivalent to to 4:3
Step-by-step explanation:
this is the answer
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f(x) = x² + 2ax + a² - a
g(x) = 4 - x²
Let variable a be a real number. Find the range of values of a such that the equation f(x) = g(x) has two different solutions.
***The answer should be -2 < a < 4, but I don't know why.
Step-by-step explanation:
f(x) = x² + 2ax + a² - a
g(x) = 4 - x²
f(x) = g(x)
x² + 2ax + a² - a = 4 - x²
2x²+2ax+a²-a -4 =0
the equation has two different solutions
=> (2a)² - 4(2)(a²-a-4) > 0
4a²-8a²+8a +32 >0
-4a²+8a+32 > 0
a²-2a-8 >0
(a-4)(a+2) < 0
the answer should be
-2 < a < 4
What is a general rule for simplifying expressions like x^a .x^b? where does this rule
comes from
What is 3/7÷2/7
Also 3/4÷5/6
Answer:
3/7 ÷ 2/7 = 3/2
3/4÷5/6 = 9/10
Step-by-step explanation:
The key rule to understanding how to divide fractions is...
KEEP SWITCH FLIP!!!
Basically, you keep the first fraction, switch the sign from division to multiplication, and flip the other fraction...
Here's how you would go about this:
3/7÷2/7
Keep 3/7 and switch ÷ to multiplication
3/7 · 2/7
Now flip 2/7 so it becomes 7/2
3/7 · 7/2
Now multiply across!
3 · 7 = 21
7 · 2 = 14
You get 21/14...but don't forget to simplify!! Divide 21 and 14 by 7 to get 3/2!
And now...for 3/4 ÷ 5/6, you do the exact same thing!
Keep...3/4
Switch... ÷
Flip...5/6
And you should get:
3/4 · 6/5
Multiply across...
= 18/20
Simplify!
= 9/10
I hope this helps clarify any confusion you may have had!
Answer:
1 1/2 and 5/8
Step-by-step explanation:
problem 1
3/7 divided by 2/7
flip 2nd fraction then multiply is formula
so 3/7 times 7/2 which is 21/14 which is 1 7/14 simplify to 1 1/2
2
so 3/4 times 5/6 remeber formula
3/4 times 6/5
18/20 multiply numerators and denominators
you could also answer as 0.9
1. Suzette ran and biked for a total of 34 mi in 3.5 h. Her average running speed was 6 mph and her average biking speed was 12.5 mph. Let x = total hours Suzette ran. Let y = total hours Suzette biked. Use substitution to solve for x and y. Show your work. Check your solution. (a) How many hours did Suzette run? (b) How many hours did she bike? Answer:
Answer:
answer
First we need to write system of 2 equations with 2 variables:
x*6 + y*12.5 = 34
x+y = 3.5
for substitution we express one of variables in one of equations and put it in other equation.
x = 3.5-y
(3.5 - y)*6 + 12.5*y = 34
21 - 6y + 12.5y = 34
6.5y = 13
y = 2
x = 3.5 - y = 3.5 - 2 = 1.5
she ran for 1.5 hours and biked for 2 hours.
check:
1.5*6 + 2*12.5 = 9 + 25 = 34 = 34
You have a bag filled with different colored poker chips. In the bag, there are 5 red chips, 16 grey
chips, 4, black chips, 7 blue chips, and 13 green chips. What is the ratio of the number of total chips to
the number of red AND blue chips
Answer:
45:12
Step-by-step explanation:
5 + 16 + 4 + 7 + 13 = 45
5 (red) + 7 (blue) = 12
What is the answer to 0.2x10=
0.2 × 10 = 2
u can check a calculator
11 4/5 + 3 5/6 and you have to add
Answer:
15 19/30
Step-by-step explanation:
Joan wants to make a dinner plan for next week.. How many different arrangements are there for the 7 d a y s ?
The number of arrangements is an illustration of permutations.
The number of arrangement is 5040
The given parameter is:
[tex]n = 7[/tex] --- number of days
[tex]r = 7[/tex] --dinners for 7 days
So, the number of different arrangement is
[tex]^nP_r = \frac{n!}{(n - r)!}[/tex]
Substitute known values
[tex]^7P_7 = \frac{7!}{(7 - 7)!}[/tex]
[tex]^7P_7 = \frac{7!}{0!}[/tex]
[tex]^7P_7 = \frac{5040}{1}[/tex]
[tex]^7P_7 = 5040[/tex]
Hence, the number of arrangement is 5040
Read more about arrangements at:
https://brainly.com/question/15301090
21. You place a mat around a 25 in by 21 inch painting as shown. The mat
is twice as wide at the left and right of the painting as it is at the top an
bottom of the painting. The area of the mat is 714 square iinches (note:
the area of the border). How wide is the mat at the left and right of the
painting? At the top and bottom of the painting? (P.264 #66)
Using a quadratic equation according to the area of the rectangular mat, it is found that:
At the top and bottom of the painting, the width is 0.654 inches.At the left and right of the painting, the width is of 1.308 inches.The area of a rectangle of length l and width w is given by:
[tex]A = lw[/tex]
In this problem:
The length of the figure is of [tex]l = 25 + 4x[/tex].The width of the figure is of [tex]w = 21 + 2x[/tex].Area of 714 square inches, thus:[tex]lw = 714[/tex]
[tex](25 + 4x)(21 + 2x) = 714[/tex]
[tex]8x^2 + 134x + 525 = 714[/tex]
[tex]8x^2 + 134x - 189 = 0[/tex]
Which is a quadratic equation with [tex]a = 8, b = 134, c = -189[/tex].
The, to find the widths of the mat, we have to first find the value of x, solving the quadratic equation.
[tex]\Delta = 134^2 - 4(8)(-189) = 24004 [/tex]
[tex]x_{1} = \frac{-134 + \sqrt{24004}}{2(8)} = 0.654[/tex]
[tex]x_{2} = \frac{-134 - \sqrt{24004}}{2(8)} = -9.03[/tex]
We are interest in the positive value of x, so x = 0.654.
At the top and bottom of the painting, the width is of 0.654 inches.[tex]2(0.654) = 1.308[/tex]
At the left and right of the painting, the width is of 1.308 inches.A similar problem is given at https://brainly.com/question/14099239
Given that (1,-8) is on the graph of f(x), find the
corresponding point for the function
1
f(x).
2
Enter the correct answer.
DOHO
DONE
Clear all
#OO
Answer:The graph of y = f(x-2) is the graph of y = f(x) translated two units rightward.
So, since the point (9,2) lies on the graph of y = f(x), the point (11,2) lies on the graph of y = f(x-2).
Step-by-step explanation:
Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
x + y = 2
–5x - 5y = -10
Step-by-step explanation:
The usual thing to do is to try to get rid of one variable first. So to get rid of x, we multiply the first equation by 5.
5(x + y) = 2(5)
-5x - 5y = -10
---> 5x + 5y = 10
-5x - 5y = -10
---> 0 = 0
As you can see, everything cancels out. If the statement is true, then it is infinitely many solutions.
In the graph below, what are all values of x
for which y = 0?
02
4
00
MA
plss hurry
I am stuck, please help
Answer:
2323
Step-by-step explanation:
Mental math means to find a way to do this problem in your head without using paper, pencil or a calculator.
The question says there are 23 classes and each class is to collect 101 items.
The equation would be 23 x 101.
To do this in your head real quick, make the numbers easier to multiply.
Make the 101 items 100. That means you are telling each class to collect 1 less item or 23 less items total.
You can do this in your head real quick. 23 classes collecting 100 items is 2300 items.
You had each class collect 100 items instead of 101. That mean you didn't collect 23 items. So if you add those back in, you will get
2323 items.
detailed explanation and answer please 20 points
Step-by-step explanation:
The first part of solving the area is multiplying the rectangle. So you do 15*18 which is 270. Then to solve a triangle you make it a square/rectangle. So it would be 8*15 which is 120. Because the length is the length of the rectangle and the width is shown on top. Then because it’s a rectangle not a triangle you divide by 2 because you were adding half to it when you were making it a rectangle. So it’s 120/2 which is 60. And 270+60 is 330. So the area is 330. To get the perimeter you add all the sides together. And because one of the sides is not added but half of the bottom line is the same length as the top so it would be 18+ the 8 on the top which is 26. So 15+18+17+26 is 76. So the perimeter is 76
So the answer is the bottom one. P=76 and A=330
Solve for x
(8x-29)+(3x-1)+(6x-11)=180
Answer:
x= 13
Step-by-step explanation:
can i please get branlist? if not thats okay.
I have 2 cupcakes but Jake has 7/4 as many as I do
Which expression has a solution of 54, if t = 6? 7 t 9 t 6 t 8 t
Answer:
The answer is 9
Step-by-step explanation:
Cause when we multiplied 6 to 9 the answer will be 54
