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.
Un problema similar es dado en https://brainly.com/question/22304471
Sam has $560 in his savings account.
He earns 2.5% interest every 3 years.
How much TOTAL savings will he have in his account?
Use the washer method to find the volume?
It's not clear whether you're talking about the bounded region to the left or right of the y-axis, but due to symmetry it doesn't really matter.
The two curves y = 8 and y = 8x ² intersect for
8 = 8x ² → x ² = 1 → x = -1, x = 1
but we only care about one of these; take the positive solution, so the region of interest lies to the right of the y-axis.
Each washer has an outer radius (distance from the "top" curve to the axis of revolution) of 8 and an inner radius (distance from the "bottom" curve) of 8x ². Take the heights to be some small length ∆x . Then each has a volume of π (outer radius)² - π (inner radius)², or
π (64 - 64x ⁴) ∆x
Now take n such washers, take their sum, and let n → ∞ and ∆x → 0. This amounts to computing the integral,
∫₀¹ π (64 - 64x ⁴) dx = π (64x - 64/5 x ⁵) |₀¹
… = π (64 - 64/5)
… = 256π/5
The two curves y = 8 and y = 8x ² intersect for
8 = 8x ² → x ² = 1 → x = -1, x = 1
but we only care about one of these; take the positive solution, so the region of interest lies to the right of the y-axis.
Each washer has an outer radius (distance from the "top" curve to the axis of revolution) of 8 and an inner radius (distance from the "bottom" curve) of 8x ². Take the heights to be some small length ∆x . Then each has a volume of π (outer radius)² - π (inner radius)², or
π (64 - 64x ⁴) ∆x
Now take n such washers, take their sum, and let n → ∞ and ∆x → 0. This amounts to computing the integral,
∫₀¹ π (64 - 64x ⁴) dx = π (64x - 64/5 x ⁵) |₀¹
… = π (64 - 64/5)
… = 256π/5
THANKS
Ella wants to estimate the product (3.6)(7.8). Which expression shows each factor rounded to the nearest whole number?
(3)(7)
(4)(8)
(3)(8)
(4)(7)
Answer:The second option is correct.(4).(8) 3.6 would be rounded to 4, and 7.8 would br8
Step-by-step explanation:
Ok no one at my school can get it, who has the crown to get this right 1st out of my whole class lolllll plus ill give brainiest to who answers without a link
Answer:
A.y=(t-1998)+b
B. 13,720 Vehicles
Step-by-step explanation:
N/A
Male Color Blindness
Approximately 9% of men have a type of color blindness that prevents them from
distinguishing between red and green. If 3 men are selected at random, find the
probability that all of them will have this type of red-green color blindness.
Answer:
About 0,3? Could go higher but the middle answer ( highest probability) is correct to me.
Step-by-step explanation:
If the principle is $12,000 and the rate of interest is 6% (simple interest), what
is the total amount after one year?
[no links please (:]
9514 1404 393
Answer:
$12,720
Step-by-step explanation:
The amount is given by the formula ...
A = P(1 +rt)
where P is the principal, invested at rate r for t years.
A = $12,000(1 +0.06·1) = $12,720
The total amount after 1 year is $12,720.
I’m about to cry from frustration. Help please before I die
Answer:
[tex]\frac{1}{3}x+16=37[/tex]
63 Jelly Beans
Step-by-step explanation:
The unknown is the number of jelly beans originally in the bag or x
First he had x jelly beans
The he ate one-third of them
[tex]\frac{1}{3}x[/tex]
He then ate 16 more jelly beans
[tex]\frac{1}{3}x+16[/tex]
This was equal to 37 jelly beans
[tex]\frac{1}{3}x+16=37[/tex]
This is the equation
Now solve for x
Subtract 16 from both sides
[tex]\frac{1}{3}x=21[/tex]
Multiply both sides by 3
[tex]x=63[/tex]
63 Jelly Beans
3/4(5x - 3) + 8 = 17.
Answer:
x=3
Step-by-step explanation:
Help me please! I will mark brainliest for whoever gets it right the fastest.
Answer:
300
Step-by-step explanation:
surface area of prism = p (perimeter)*height + 2* base area
sa = (12+13+5) * 8 + 2* (12*5/2)
= 30*8 + 2*30
= 240+60
= 300
The specification for the pull strength of a wire that connects an integrated circuit to its frame is 10 g or more. In a sample of 86 units made with gold wire, 68 met the specification, and in a sample of 120 units made with aluminum wire, 105 met the specification. Let pX represent the population proportion units made with gold wire that meet the specification and let pY represent the population proportion units made with aluminum wire that meet the specification. Find a 95% confidence interval for the difference
Answer:
The 95% confidence interval for the difference is (-0.1888, 0.0202).
Step-by-step explanation:
Difference between proportions:
The distribution of the difference between two proportions has mean of the difference between these proportions and standard deviation is the square root of the sum of the variances. So
In a sample of 86 units made with gold wire, 68 met the specification
This means that:
[tex]pX = \frac{68}{86} = 0.7907[/tex]
[tex]sX = \sqrt{\frac{0.7907*0.2093}{86}} = 0.0439[/tex]
In a sample of 120 units made with aluminum wire, 105 met the specification.
This means that:
[tex]pY = \frac{105}{120} = 0.875[/tex]
[tex]sY = \sqrt{\frac{0.875*0.125}{120}} = 0.0302[/tex]
Difference:
[tex]p = pX - pY = 0.7907 - 0.875 = -0.0843[/tex]
[tex]s = \sqrt{sX^2 + sY^2} = \sqrt{0.0439^2+0.0302^2} = 0.0533[/tex]
Confidence interval:
[tex]p \pm zs[/tex]
In which z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex], with [tex]\alpha[/tex] being 1 subtracted by the confidence level.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Lower bound of the interval:
[tex]p - zs = -0.0843 - 1.96*0.0533 = -0.1888[/tex]
Upper bound of the interval:
[tex]p + zs = -0.0843 + 1.96*0.0533 = 0.0202[/tex]
The 95% confidence interval for the difference is (-0.1888, 0.0202).
I REALLY NEED HELP with this statistics question, it would mean a lot if someone could answer it, i will give you brainliest for the correct answer :)
Answer:
i dont know what set a or b is...I would love to help you though...see below.
Step-by-step explanation:
Mean is best used for a data set with numbers that are close together.
The median is the midpoint value of a data set, where the values are arranged in ascending or descending order.
In addition, the standard deviation, like the mean, is normally only appropriate when the continuous data is not significantly skewed or has outliers.
You should use the mode if the data is qualitative (colour etc.) or if quantitative (numbers) with a clearly defined mode (or bi-modal). It is not much use if the distribution is fairly even.
This can be useful if you are measuring a variable that has either a critical low or high threshold (or both) that should not be crossed. The range will instantly inform you whether at least one value broke these critical thresholds. In addition, the range can be used to detect any errors when entering data.
Quantile classification is ideal for ordinal data. When you have a clear ordering of the variables, then this is one of the advantages of quantity classification. If you want to rank data into categories such as high, medium, and low, this is another opportunity to use quantile classification
What is the total area of the composite figure below?
14.5
cm2
6 cm
A
12 cm 11
3 cm
2.5 cm
12 cm
HELP PLS !!!! ITS DUE IN AN HOUR
Answer:
its b i know that
Step-by-step explanation:
In a snail-racing contest, Noba’s snail crawled 1.677 m in 5 min.
About how far did the snail travel each minute?
Answer: 12 hours
Step-by-step explanation:
Let's set the speed as "s".
Remember that distance = speed * time
So, plugging the numbers given...
7 = s * 8.4
Divide both sides by 8.4
s = 5/6
Now, plug this into the distance = speed * time, with the distance being 10. Set the time as "t"
10 = 5/6 * t
Divide both sides by 5/6
12 = t
So, it would take 12 hours for the snail to crawl 10 miles.
A spherical cantaloupe is cut in half. The visible cross-section has an area of 5252 in2. The volume of the cantaloupe is _____ cm3. Round your answer to the tenths place.
Answer:
V = 286319.465 cm3
Step-by-step explanation:
First, you have to find the radius to be able to find the volume of a sphere.
The equation for the area of a circle is pi r^2 so you have to so some algebra.
5252 = pi r ^2
5252/pi = r^2
1671.76352 = r^2
sqrt(1671.76352) = r
r = 40.8872048
then you do the equation for the volume of a circle which is 4/3 pi r^3
4/3 pi (40.8872048)^3
4/3 pi 68353.7373
4/3 214739.599
286319.465
V = 286319.465 cm3
Find the value of x in the triangle shown below.
1
13
2
12
Choose 1 answers
Answer:
x = 5
Step-by-step explanation:
a² + b² = c²
x² + 12² = 13²
x² + 144 = 169
x² = 169 - 144
x² = 25
[tex]\sqrt{x^2} =\sqrt{25}[/tex]
x = 5
find the unknown lengths in the pair of similar triangles
Answer:
a = 3
b = 2
Step-by-step explanation:
The ratio of the corresponding sides of two similar triangles are always equal. Therefore,
9/a = 18/6 = 6/b
✔️Let's solve for a:
9/a = 18/6
9/a = 3
Cross multiply
a*3 = 9
Divide both sides by 3
a = 9/3
a = 3
✔️Let's find b:
18/6 = 6/b
3 = 6/b
3*b = 6
b = 6/3
b = 2
Which electrician would be cheaper to hire for 3 hours? 8 hours? Why
Electrician A charges $35 per hour and a $100 consultation fee.
Electrician B charges $40 per hour and a $70 consultation fee.
Answer:
3 hour: electrician B because you would save $15
8 hour: electrician A because you would save $10
Step-by-step explanation:
35×3+100=205 vs 40×3+70=190
b is 15 dollars less
35×8+100=380 vs 40×3+70=390
a is 10 dollars less
9. Find the volume of the sphere if the radius is 12.4 in. Round to the nearest tenth.
Answer:
V=7982.4 in
Step-by-step explanation:
V=4/3pi*r^3
V=4/3pi*12.4^3
V=4/3pi*1906.62
V=7626.48/3pi
V=2542.16pi
V=2542.16*3.14
V=7982.4
Find the area of the triangle. Enter your answer in the box.
9514 1404 393
Answer:
168 mm²
Step-by-step explanation:
The area of a triangle is half the product of the base and height. The height is measured perpendicular to the base.
A = 1/2bh
A = 1/2(14 mm)(12 mm)
A = 84 mm²
The area of the triangle is 84 square millimeters.
Answer:
84 whoop lololol
Step-by-step explanation:
84 mm power 2
Find the quadratic function that models the data as a function of x, the number of weeks. Use the model to estimate the number of fish at the lake on week 11.
Week : 0 1 2 3 4 5 6
Population : 495,483,481,489,507,535,573
Answer: b
f(x)=5x^2-17x+495
f(11)=913
Step-by-step explanation:
I did some research and found an exam review sheet that had this same problem (worked out). This was all that was written.
The quadratic function that models the data will be;
y = 5x² - 17x + 495
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The model to estimate the number of fish at the lake on week 11 are;
Week = 0, 1, 2, 3, 4, 5, 6
Population = 495, 483, 481, 489, 507, 535, 573
Now,
Let the quadratic equation is;
y = ax² + bx + c
Substitute x = 0 and y = 495, we get;
495 = a × 0 + b × 0 + c
c = 495
Substitute x = 1 and y = 483, we get;
483 = a × 1 + b × 1 + c
483 = a + b + 495
a + b = 483 - 495
a + b = - 12 ... (i)
Substitute x = 2 and y = 481, we get;
481 = a × 4 + b × 2 + c
481 = 4a + 2b + 495
4a + 2b = 481 - 495
4a + 2b = - 14
2a + b = - 7 ... (ii)
Solve equation (i) and (ii), we get;
a = 5 and b = - 17
So, We get;
The quadratic equation is;
y = ax² + bx + c
y = 5x² - 17x + 495
Therefore, The quadratic function that models the data will be;
y = 5x² - 17x + 495
Learn more about the quadratic equation visit:
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The locus of points in a plane 3 units from the line y = 1
Answer:
Option B, 2 parallel lines
Step-by-step explanation:
Complete question
The locus of points in a plane 3 units from the line y = 1
A ray
B. 2 parallel lines
C. circle
D. plane
Solution
A group of points whose location is determined by more than one or at least one specified condition is called a locus. Locus of a line could be a set of points that form a line or a surface satisfying the condition of line in the plane.
Hence, option B is correct
Classify each equation as L Q or E
Answer:
Step-by-step explanation:
Type of equations,
Linear equations:
Equations in the form of y = mx + b
Quadratic equations:
Equation with a maximum degree = 2
y = ax² + bx + c
Exponential equations:
Any function or equation having exponent,
y = a(b)ˣ
a). f(x) = 3x + 2
Linear function.
b). y = 5ˣ
Exponential equation.
c). f(x) = 2
Linear equation
d). f(x) = 4(2)ˣ + 1
Exponential function
e). [tex]y=7(0.25)^x[/tex]
Exponential function
f). y = 4x² + 2x - 1
Quadratic function
please help. i need this in by today at 12:00
Answer:
A
Step-by-step explanation:
P( music ) = number of students in music/ total number of students
P (music) = 4 / 14
= 2/7
If I paid $2.50 in taxes on a $45 item, what percentage rate of taxes did I pay?
Answer:
47.05
Step-by-step explanation:
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What is the angle of rotation of the figure?
A. 30°
B. 60°
C. 72
D. 120
Answer:
b
Step-by-step explanation:
Answer:
i would say A
Step-by-step explanation:
cause it looks like its only slitly rotated
Solve for each variable and tell how you found the value of each.
Answer:
A:38 c:54
Step-by-step explanation:
First off, I did the easiest which was a. i found the value of A by subtracting 180 by 142. because a flat line is 180 degrees.
For C, It was more difficult. I subtracted 88 by the value of A, since the value of A is the same as the one next to 88. So I subtracted 126 (88+38) and got 54.
Fortunately, I couldn't figure out B though, but i think it is a similar answer to c.
Please help with this math work!! Solve for x , Assume which appear tangent are tangent
Answer:
photo is not clear so i can't help u
Answer:
i cant really see the q so sorry but goodluck <3
What is the median of the numbers 312, 336, 488, 384, 368, 336, 416, 624
Answer:
376
Step-by-step explanation:
312,336,336,368,384,416,488,624
the middle numbers are 368 and 384
the median is the middle of the middle numbers
to find this number we add up 368 and 384 and divide the answer by 2
368+384=752
752/2=376
Answer:
376
Step-by-step explanation:
1. To find the median you have to first arrange the numbers in numerical order.
2. Count how many numbers you have.
3. Divide by 2. Go to the number in that position and average it with the number in the next highest position to get the median.
So considering you have 8 numbers if you divide 8 ÷ 2 = 4
the 4th number arranged is 368. Now to average 368 and 384. 368+384=752
752 ÷ 2 = 376
Gina deposits $2,000 into each of two savings accounts.
- Account I earns 5% annual simple interest.
- Account II earns 5% interest compounded annually.
Gina does not make any additional deposits or withdrawals. What is the sum of the balances of Account I and Account II at the end of 3
years?
0 $4,600
O $4,615.25
0 $4,630.50
$4,300
Answer:
4,615.25
Step-by-step explanation:
I just did a et and it is correct.