Answer:
P(A | Y = 8) = 0.633
Step-by-step explanation:
It is really a simple and interesting question, as it involves the Poisson distribution and probability.
First of all, let's try to understand the problem statement clearly. It says that there are two process by which beams are made, namely A and B.
It further states that, beam made by process A has = 10 flaws per meter.
Beam made by process B has = 5 flaws per meter.
Finally, it says that from a yard containing equal numbers of process A and process B beans, one beam is randomly selected and 1 - meter of it is inspected. And they have found 8 flaws in it.
We now, have to find out the probability that the inspected beam is from process A.
For this,
Let's suppose, Y is no. of flaws
So,
P (Y=8|A) = [tex]\frac{e^{-10}. 10^{8} }{8!}[/tex]
where , e = Euler's Constant = 2.71828
P (Y=8|A) = 0.11
Similarly for process B
P (Y=8|B) = [tex]\frac{e^{-5}. 5^{8} }{8!}[/tex]
P (Y=8|B) = 0.06
As, we know from the problem statement that there are equal numbers of process A and process B beams.
So, the probability of A = Probability of B = 0.5
P(A) = 0.5
P(B) = 0.5
We need to find, P(A|Y=8) and for this we need to find the P(Y=8) first.
Using the law of total probability:
P(Y=8) = P(Y = 8 |A) P(A) + P(Y = 8|B) P(B)
Plug in the values:
P(Y=8) = (0.11 x 0.5) + (0.06 x 0.5)
P(Y=8) = 0.088
Now, by applying Bayes Theorem, we can find the required probability:
P(A | Y = 8) = P(Y = 8 | A) P(A) / P(Y = 8)
8 flaws are found, the probability the inspected beam was fabricated using process A is :
P(A | Y = 8) = 0.11 x 0.5 / 0.088
P(A | Y = 8) = 0.633
Furthermore,
8 flaws are found, the probability the inspected beam was fabricated using process B is :
P(B | Y = 8) = 1-P(A | Y = 8)
P(B | Y = 8) = 1 - 0.633
P(B | Y = 8) = 0.367
What is 1/4 as a decimal and as a representation fraction?
Answer:
0.25
25%
Step-by-step explanation:
......................
I will cashapp you not playin but don’t give me the wrong Answer and explain
Answer:
It would be option two: Bill's Electric Company charges 6 dollars per hour plus a flat rate of 15 dollars for a service call. If Monica has at least 100 dollars to spend, how many hours can the service man work?
Step-by-step explanation:
6 dollars an hour means it would be 6x.
A flat rate of 15 means there would be just 15 as a number, no x's.
And the sign is less than or equal to, so she has over a hundred dollars to spend.
A...................
Step-by-step explanatio
Graph each linear inequality to show all possible solutions.
I need help with this equation
Answer:
See attached
Step-by-step explanation:
The graph of inequality y ≤ 5/3x - 4 is attached
It is the shaded area to the right of solid line
x-intercept and y-intercept shown
Answer:
Your answer is attached in the answer
please help ,Twice a number is greater than three times the number added to 10 . You need to choose a variable and write an inequality that could be used to sloe each problem then solve it .please help
Answer:
x<(-10)
I hope it will be useful.
Step-by-step explanation:
2x > 3x + 10
A 2018 Chevrolet Suburban averages 15 miles per gallon of gas in the city. It drives 47% farther per gallon of gas on the highway. If gas costs $3.25 per gallon, how much does a Suburban cost to drive per mile on the highway
Answer:
On the highway, the cost to drive per mile is $2.21
Step-by-step explanation:
In the city the average distance per gallon is 15 miles
On the highway, he can drive 47% farther;
The distance he can cover on the highway per gallon will be;
15 + 47% of 15
= 15 + 0.47(15)
= 15 + 7.05 = 22.05
So on the highway, he can travel a distance of 22.05 miles
So the cost per mile on the highway would be;
$3.25 for 15 miles
$x for 22.05 miles
so we have the cost to drive per mile on the highway as;
(3.25 * 15)/22.05 = $2.21
Sketch a plane region and indicate the axis about which it is revolved so that the resulting solid of revoltuion (found using the shell method) is given by the integral.
π
2π∫ xsinx dx
0
Answer:
See attached picture.
Step-by-step explanation:
The idea of the shell method is to find the volume of a differential shell by using the formula:
[tex]V=2\pi\int\limits^a_b {rh} \, dr[/tex]
in the drawing we can see that r=x, h=sin x and dr=dx. The area is revolving about the y-axis from x=0 to [tex]x=\pi[/tex]. So the volume is found by using the following integral:
[tex]V=2\pi\int\limits^\pi_0 {xsin x} \, dx [/tex]
HELPPP 22 POINTS
△FGH is translated left 5 units to form the image ∆F′G′H′.
What are the coordinates of the vertices of ∆F′G′H′ ?
Enter your answer by filling in the boxes.
F′ = ( , )
G′ = ( , )
H′ = ( , )
Answer:
F' : (-5,5)
G' : (0,5)
H' : (0,9)
Step-by-step explanation:
<33
Answer:
F = (-10,0)
G= (-5,0)
H= (-5,40
my explanation: We want to translate it to the left 5 units so if we move over the whole triangle 5 units to the left, this is your answer! Hope I could help. <3
How do I find angle N?
Answer:N is 22.5 I think
Step-by-step explanation:
Half of 90 is 45 and N looks like half of P and half of 45 is 22.5
Amanda created a table to help her represent the sample space of spinning a spinner and flipping a coin.
What is the probability that the result of the spin is blue and the coin lands heads up?
Group of answer choices
1/8
4/8
2/8
3/8
Please Help answer has much as you can
Answer:
24 is the answer ok 21/7
is 3 and multiply it with 8 that is 24
2]
q = -3
Solving Right Triangles.
10 points - please help!
Offering brainliest to best answer!
Please answer!
Answer: C
Step-by-step explanation:
The missing side of the triangle is the hypotenuse. We are given the length for both legs. To find the midding leg, we need to use teh Pythagorean Theorem.
Pythagorean Theorem: a²+b²=c²
A and b are the legs, while c is the hypotenuse. We plug in the legs and solve for c.
2²+3.6²=c² [exponent]
4+12.96=c² [add]
16.96=c² [square root both sides]
[tex]c=\sqrt{16.96}[/tex]
Now that we have found the hypotenuse, we know the answer is C.
Hello!
[tex]\large\boxed{\sqrt{16.96}cm}[/tex]
Use the Pythagorean theorem to solve for the missing side of the triangle:
a² + b² = c²
Plug in the given side lengths to solve for "c", or the Hypotenuse:
(2)² + (3.6)² = c²
4 + 12.96 = c²
16.96 = c²
Take the square root of both sides:
√16.96 = c
Brian saved $8 on a pair of sneakers with a 25% coupon at Kohls
yesterday. What was the original price of the sneakers
Answer: 32$
Step-by-step explanation: 8 x 4 = 32
32 divided by 4 = 8
Please find x ASAP!...........
Answer:
x = 40°
Step-by-step explanation:
Both triangles can be regarded as similar triangles. Therefore, their corresponding angles would be congruent to each other.
Thus:
x = 180° - (75° + 65°)
x = 180 - 140
x = 40°
What is the difference of the fractions? Use the number line to help find the answer.
7
Answer:
C.) -7/5
Step-by-step explanation:
To subtract fractions, we need to have common denominators. So first, we will change -1 1/5 to -6/5.
Now we will change the denominator of both -6/5 and 1/2 to 10.
We now have:
5/10 and -12/10
5-12=-7
So the answer would be -7/5
If we want to use the number line, we would first find 5/10 (1/2) on the graph and count down (to simulate subtraction) 12 units since we are subtracting by 12. :))
solve equation √10x-7 = √7x-1
Solve for x using the
distributive property.
5(2x - 7) = 5
Answer:
x=4
Step-by-step explanation:
10x-35=5
10x=5+35
10x=40
x=4
(distributive property was just multiplying 5 by both numbers in the parentheses)
Answer:
10x-35=5
10x=40
x=4
Step-by-step explanation:
prove me wrong
$300 bases price plus $20 per guest for up to 30 guests. Whats the initial value?
The base price is $300 and $20 per guest, then the initial value will be equal to $300.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the data mentioned in the question,
Base price = $300
Price per guest = $20 for up to 30 guests.
Then, the equation according to this will be,
$300 + $20(x)
Here, x is the number of guest, which is not more than 30.
Also, the initial value will be equal to the base value, which is 300.
To know more about arithmetic operations:
https://brainly.com/question/25277954
#SPJ2
Evaluate log 473 round to the nearest hundredth
Answer:
473 rounded to the nearest hundredth, would be 400.
what is the y-intercept of f(x)=3/5x
a. (1, 0)
b. (1, 3/5)
c. (0, 0)
d. (0, 1)
Answer:
o,1
Step-by-step explanation:
Factor this polynomial expression.
10x2 - 7x- 12
A. (5x - 4)(2x + 3)
B. (5x + 4)(2x-3)
C. (5x+6)(2x-2)
D. (5x-6)(2x + 2)
Answer:
(5x+4)(2x-3)
Step-by-step explanation:
(a) Complete the table of values for y = 2x + 4.
Please help ❤️ 15 points awarded :)
Answer:
your first answer is incorrect it is y= 2
y=6
y=8
PLZ HELP WILL GIVE THANKS+BRANLIEST! the length of the box is 2 1/2m, it is 1 9/16 times its width. what is the height of the box if its volume is 12 3/4m3?
Answer:
3 3/16
Step-by-step explanation:
Length of the box L= 2 1/2m= 1 9/16 W
Width of box W = W
Height H=?
Volume V= 12 3/4m3
If L= 5/2 = 25/16 W
W= 16 × 5/2× 25
W= 80/50= 8/5 = 1 3/5
V= LWH
Hence height =
51/4 = 5/2 × 8/5 × H
H= 51/4 × 10/40 =51/16
H= 3 3/16
when 2x³-5x²+4x-8 is divided by ax²+bx+c the quotient is x-2 and the remainder is bx-a find the value of a,b and c?
Answers:
a = 2
b = -1
c = 3
===========================================================
Work Shown:
(numerator)/(denominator) = quotient + (remainder)/(denominator
(2x^3-5x^2+4x-8)/(ax^2+bx+c) = x-2 + (bx-a)/(ax^2+bx+c)
2x^3-5x^2+4x-8 = (x-2)(ax^2+bx+c) + (bx-a)
2x^3-5x^2+4x-8 = x(ax^2+bx+c)-2(ax^2+bx+c) + (bx-a)
2x^3-5x^2+4x-8 = ax^3+bx^2+cx-2ax^2-2bx-2c + bx-a
2x^3-5x^2+4x-8 = ax^3+(bx^2+2ax^2) + (-2bx+cx+bx) + (-a-2c)
2x^3-5x^2+4x-8 = ax^3+(b+2a)x^2 + (-b+c)x + (-a-2c)
The x^3 term of the left hand side (LHS) is 2x^3, while the x^3 term of the right hand side (RHS) is ax^3. This must mean a = 2.
The x^2 term of the LHS is -5x^2. The x^2 term of the RHS is (b+2a)x^2
Plugging in a = 2 leads to (b+2a)x^2 turning into (b+4)x^2. Equating the two x^2 coefficients has us get b+4 = -5 solve to b = -1
Now focus on the x terms. The LHS has 4x and the RHS has (-2b+c)x. Plug in b = -1 to get (-b+c)x turn into (c+1)x. Set this equal to 4x and you should find that c = 3
-----------------
In summary, we have:
a = 2
b = -1
c = 3
Note how the last term on the RHS is -a-2c = -2-2(3) = -8 which matches with the last term on the LHS. This helps confirm we have the correct values for a,b,c. Further confirmation would involve polynomial long division.
Answer:
a = 2; b = -1; and c = 3
Step-by-step explanation:
If the quotient of [tex]2x^3-5x^2+4x-8[/tex] divided by [tex]ax^2+bx+c[/tex], gives [tex]x-2[/tex] , with a remainder of [tex]bx-a[/tex], then the product ( [tex]ax^2+bx+c[/tex], ) * ( [tex]x-2[/tex] ) plus [tex]bx-a[/tex] should equal: [tex]2x^3-5x^2+4x-8[/tex]
And we can investigate the values of a, b, and c via operating the product and afterwards identifying like terms as shown below:
[tex](x-2) * (ax^2+bx + c)+bx-a= ax^3 +bx^2+cx-2ax^2-2bx-2c+bx-a=\\=ax^3+(b-2a)x^2+(c-2b+b)x-2c-a=2x^3-5x^2+4x-8[/tex]
And therefore, making the coefficients of like terms equal, we get:
[tex]a = 2\\b-2a=-5;\,\,and\,\, b=-1\\c-b=4;\,\,and\,c=3\\-2c-a=-6-2=-8[/tex]
Given m
||
n, find the value of x.
If the interest of sum of money is 6 yrs in 3/8 of the principal . what is the rate of interest?
Step-by-step explanation:
use this formula
given year/given year=(n-1)/(n-1)
here 6year =2times
3year=4times
6year/2year=(2-1)time/(4-1)time
6/x=1/3
x=18 years
please awnser asap for 15
NEED HELP ASAP!!!!!!!!
A bag contains 4 yellow tiles and 2 green tiles . A tile will be taken from the bag at random and set aside. A second tile will then be taken from the bag at random . What is the probability that both tiles will be green?
There is a 40 percent chance because there are more yellow tiles than green
Answer:1/15
Step-by-step explanation:
In total there are 6 marbles. 2 out of 6 are green so it'll be 2/6 green marbles. If one is taken away and put aside with no replacement, then it'll be 1/5. (1 out of the 5 marbles left) Then you'll multiply 2/6 and 1/5 and you'll get 1/15.
ax-bx+y=z solve for x
Answer:
x = (z - y)/(a - b)
General Formulas and Concepts:
Algebra I
Equality PropertiesFactoringStep-by-step explanation:
Step 1: Define
ax - bx + y = z
Step 2: Solve for x
Subtract y on both sides: ax - bx = z - yFactor GCF: x(a - b) = z - yIsolate x: x = (z - y)/(a - b)Answer:
The solution for x will be:
[tex]x=\frac{z-y}{a-b}[/tex]
Step-by-step explanation:
Given the expression
[tex]ax-bx+y=z[/tex]
subtract y from both sides
[tex]ax-bx+y-y=z-y[/tex]
simplify
[tex]ax-bx=z-y[/tex]
Factor ax-bx = x(a-b)
[tex]x\left(a-b\right)=z-y[/tex]
Divide both sides by a-b; a≠b
[tex]\frac{x\left(a-b\right)}{a-b}=\frac{z}{a-b}-\frac{y}{a-b};\quad \:a\ne \:b[/tex]
simplify
[tex]x=\frac{z-y}{a-b};\quad \:a\ne \:b[/tex]
Therefore, the solution for x will be:
[tex]x=\frac{z-y}{a-b}[/tex]
solve by elimination -6x+6y=6 -6x+3y=-12
Answer:
3y=-6 ÷3
y=-2
Step-by-step explanation:
prove me wrong
Answer:
x=5
y=6
Step-by-step explanation:
-6x+6y=6 6x-6y=-6
-6x+3y=-12 -6x+3y=-12
-3y=-18
y=6
plug 6 into y for any equation
-6x+36=6
-6x=-30
x=5