Answer:
The probability is 0.357
Step-by-step explanation:
Given that,
The system has at least one type of defect,
Suppose, A certain system can experience three different types of defects.
Let [tex]A_{i}[/tex] (i = 1,2,3) denote the event that the system has a defect of type i.
Suppose that the following probabilities are,
[tex]P(A_{1})=0.11[/tex]
[tex]P(A_{2})=0.08[/tex]
[tex]P(A_{3})=0.05[/tex]
[tex]P(A_{1}\cup A_{2})=0.13[/tex]
[tex]P(A_{1}\cup A_{3})=0.13[/tex]
[tex]P(A_{2}\cup A_{3})=0.11[/tex]
[tex]P(A_{1}\cap A_{2}\cap A_{3})=0.01[/tex]
[tex]P(A_{1}\cap A_{2})=0.06[/tex]
[tex]P(A_{1}\cap A_{3})=0.03[/tex]
[tex]P(A_{2}\cap A_{3})=0.02[/tex]
[tex]P(A_{1}\cup A_{2}\cup A_{3})=0.14[/tex]
We need to calculate the probability that it has exactly one type of defect
Using given data
[tex]P=\dfrac{P(A_{1}\cap A_{2}'\cap A_{3}')}{P(A_{1}\cup A_{2}\cup A_{3})}+\dfrac{P(A_{1}'\cap A_{2}\cap A_{3}')}{P(A_{1}\cup A_{2}\cup A_{3})}+\dfrac{P(A_{1}'\cap A_{2}'\cap A_{3})}{P(A_{1}\cup A_{2}\cup A_{3})}[/tex]
[tex]P=\dfrac{P(A_{1})-P(A_{1}\cap A_{2})-P(A_{1}\cap A_{3})+P(A_{1}\cap A_{2}\cap A_{3})}{P(A_{1}\cup A_{2}\cup A_{3})}[/tex] + [tex]\dfrac{P(A_{2})-P(A_{1}\cap A_{2})-P(A_{2}\cap A_{3})+P(A_{1}\cap A_{2}\cap A_{3})}{P(A_{1}\cup A_{2}\cup A_{3})}[/tex]+ [tex]\dfrac{P(A_{3})-P(A_{1}\cap A_{3})-P(A_{2}\cap A_{3})+P(A_{1}\cap A_{2}\cap A_{3})}{P(A_{1}\cup A_{2}\cup A_{3})}[/tex]
P = [tex]\dfrac{P(A_{1})+P(A_{2})+P(A_{3})-2P(A_{1}\cap A_{2})-2P(A_{1}\cap A_{3})-2P(A_{2}\cap A_{3})+3P(A_{1}\cap A_{2}\cap A_{3})}{P(A_{1}\cup A_{2}\cup A_{3})}[/tex]
Put the value into the formula
[tex]P=\dfrac{0.11+0.08+0.05-2(0.06)-2(0.03)-2(0.02)+3(0.01)}{0.14}[/tex]
[tex]P=0.357[/tex]
Hence, The probability is 0.357
V - W = uvw, solve for w
how do I do that?
Answer:
[tex]W=\frac{V}{UV+1}[/tex]
Step-by-step explanation:
[tex]V-W=UVW\\\\V-W+W=UVW+W\\\\V=UVW+W\\\\V=UVW+W\\\\V=W(UV+1)\\\\\frac{1}{UV+1}(V)= \frac{1}{UV+1}(W)(UV+1) \\\\W=\frac{V}{UV+1}[/tex]
Find the two square roots of 9/4?
Answer: 0.75
Step-by-step explanation:
The two square roots of 9/4 is [tex]3/2[/tex].
It is required to find the two square roots of 9/4.
What is square root?A factor of a number that, when multiplied by itself, gives the original number. The square root of any number can be expressed using the formula: √y = y½.
Solution:
Using the principal square root:
[tex]\sqrt{9/4} \\\\=3/2[/tex] and [tex]3/2[/tex].
Hence, the two square roots of 9/4 is [tex]3/2[/tex].
Learn more about square roots here:
https://brainly.com/question/17835631
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A carpenter makes wooden chairs.
He has enough wood to make 30 chairs.
He makes $60 profit on a dining chair and $90 profit on a rocking chair.
It takes him 1 hour to make a dining chair and 2 hours to make a rocking chair.
He only has 40 hours available to work on the chairs.
The carpenter wants to maximize his profit given the constraints. He draws the graph below to represent this situation.
Answer:
Is there supposed to be a graph somewhere?
Lisa paid $35.00 to join an online music service. If she purchases 18 songs each month at a cost of $0.75 per song, what will be the total amount she has spent after 4 months?
Answer:
Hi there!
Your answer is:
$89
Step-by-step explanation:
35+18x(.75)
Plug in 4 for x.
35+ 18(4) × (.75)
35+ 54
89$
Hope this helps
Which expression can be used to solve
3/5•|• 7/10
Answer: D
Step-by-step explanation: if you write it out it will be the exact same thing as D so it will be d
A triangle is placed in a semicircle with a radius of 5 yd, as shown below. Find the area of the shaded region.
Use the value 3.14 forn, and do not round your answer. Be sure to include the correct unit in your answer.
is yd please help
Answer:
14.25 yd^2
Step-by-step explanation:
The triangle area is given by the formula ...
A = 1/2bh
Here, the base is 10 yd, and the height is 5 yd, so ...
triangle area = (1/2)(10 yd)(5 yd) = (5 yd)^2 = 25 yd^2
__
The semicircle is half the area of a circle with radius 5 yd, so its area is ...
semicircle area = (1/2)π(5 yd)^2 = 12.5π yd^2 ≈ 39.25 yd^2
__
The shaded region is the difference between these areas:
shaded area = 39.25 yd^2 -25 yd^2 = 14.25 yd^2
Solve equation t+26=25
Answer:
t+26=25
t= 26-25 = 1
Step-by-step explanation:
Simplify (4.5)(5)(−2).
45
4.5
−4.5
−45
Answer:
-45
Step-by-step explanation:
(4.5)(5)(-2)=-45
therefore the answer would be the fourth option which is -45
Answer:-45
Step-by-step explanation:(4.5)(5)(-2)=-45
therefore the answer would be the fourth option which is -45
How to simplify 27/63
Answer:
3/7
Step-by-step explanation:
We do this by first finding the greatest common factor of 27 and 63, which is 9.
Then, we divide both 27 and 63 by the greatest common factor to get the following simplified fraction: 3/7
hope this helps plz mark brainilest
Answer:
0.42857142857
Step-by-step explanation:
Help me pleaseee
The bottom number is a 4 btw it’s 20 points ❤️
Answer: It is 20 m, multiply each number by 1.25
the four fastest times in a race were 27.08 seconds 27.88 seconds 27.8 seconds and 26.78 seconds between which two times does 27.84 belong
Find the domain of the graph
Answer:
The domain should be on the x-axis.
I might be wrong.
7р + 8р - 12 = 59 what would this be
Answer:
4.7333....................
Step-by-step explanation:
First combine like-terms. The equation now is 15p-12=59. Next add 12 to both sides. The equation now is 15p=71. Last divide both sides by 15. Now the equation is 4.73333....
Help Me Please!! The Chilly Fizz Root Beer can was 15.2 cm high. The new can is 0.5 cm shorter. The new can has a diameter of 5.4 cm. What is the volume of the new can? Use 3.14 for the value of π.
First find the height of the cylinder:
15.2 -0.5 = 14.7
The formula for a circle is : V= [tex]\pi r^{2}[/tex] h
V= [tex]\pi (5.4)^{2} (14.7)[/tex] (substitute pi for 3.14)
V= (3.14) (5.4)² (14.7) simplfy
V= 1345.96728
Solve the equation by the square root property. (x - 5)2 = 9 What is the solution set? (Use a comma to separate answers as needed.) D
Answer:
See answer below.
All you have to do is input the equation into the square root formula.
Step-by-step explanation:
Answer:
x =
2 , 8
Step-by-step explanation:
(x-5)² = (x-5)(x-5) = x*x + x*-5 - 5*x - 5*-5 = x² - 5x - 5x + 25
= x² - 10x + 25
x² - 10x + 25 = 9
x² - 10x + 25 - 9 = 0
x² - 10x + 16 = 0
x = {-(-10)±√((-10)²-(4*1*16))} / (2*1)
x = {10±√(100-64)} / 2
x = {10±√36} / 2
x = {10±6} / 2
x₁ = {10-6} / 2 = 4/2 = 2
x₂ = {10+6} / 2 = 16/2 = 8
Check:
x₁
(2-5)² = 9
-3² = 9
x₂
(8-5)² = 9
3² = 9
Houston, Texas get an annual rainfall of 5.2 times more than El Paso, Texas. Houston has an average rainfall of 46 inches, about how much rain does El Paso get?
Answer:
8.85 inches
Step-by-step explanation:
Divide Houston's average by 5.2 to find El Paso's:
46/5.2
= 8.85 inches
So, El Paso gets about 8.85 inches of rain
Answer:
8.846
Step-by-step explanation:
what is 4(1/2+3/4)+(-2)
Answer:
3
Step-by-step explanation:
4(1/2+3/4)+(-2)
4 x 5/4 - 2
5 - 2
3
i hope this helps :)
Answer:
your answer is 3
Step-by-step explanation:
Your friend says that in the number 45,951, one 5 is 10 times as great as the other 5. Is your friend correct? Expain.
Answer:
No.
Step-by-step explanation:
The friend is not correct because in this case one five is 100 times greater than the other, not 10.
How fast will the train cover 290 miles if its speed is s miles per hour?
Answer:
290/s
Step-by-step explanation:
Basically, the question is asking you to find:
290/s miles per hour
The only problem is translating words to math.
Hope this helps!
what is 293+678 bc I need help
Answer:
971
Step-by-step explanation:
All we need to do is add.
293 + 678
971
Best of Luck!
Answer:
68+1
Step-by-step explanation:
Brian invests £1900 into his bank account.
He receives 4.5% per year compound interest.
How much will Brian have after 7 years?
Give your answer to the nearest penny where appropriate.
Answer:
Brian will have 258564 pennies after 7 years
solve each inequality -3x<12
Answer:
-3x<12
/-3 /-3
x<-4
Step-by-step explanation:
(-8p^3+9p^2q)+(8p^3-pow+5q^2)
Answer:
-1opw+9p^2q+5q^2
Step-by-step explanation:
Is 8.168 a rational number?
Answer:
yes
Step-by-step explanation:
7-(-1)
Simplify the expression
What is -2/3 plus 1/5?
Answer:
-7/15
Step-by-step explanation:
Find GCF of both denominators
GCF: 15
Multiply 5 to -2 in -2/3 and 3 to 1 in 1/5
This gives you -10/15 + 3/15
Solve
-7/15
Yolanda is planning to put a pool in her backyard. The scaled model below gives the reduced measures for diameter and depth. 18 cm 4 cm Not drawn to scale The yard space is large enough to have a pool that has a diameter of 27 feet. If Yolanda wants to keep the pool in proportion to the model, what will be the depth of the pool? O 4.5 feet O 5 feet 06 feet 0 6.75 feet Wema
Answer:
B
Step-by-step explanation:
Describe the transformation used to map the graph of f(x) =x onto the graph of g(x)= 4x
Answer:
Step-by-step explanation:
5). Graph of the parent function f(x) = x has been given in the picture.
To map the graph the function 'f' onto the graph of function 'g',
f(x) = x
g(x) = 4x
A vertical stretch of the function 'f' by a scale of 4 is required.
6). Rule for a function to be translated by 'a' units down,
g(x) = f(x) - a
By this rule, if the function 'f' is translated 7 units down,
g(x) = f(x) - 7
g(x) = x - 7
I really need help . 12 points
Answer:
it the 2nd or last one but i think its the 2nd one
Answer:
it is last no. cause no negative or decimal are counted as order pair
Step-by-step explanation:
I guess I was help full for u
plz follow me for more updates
True or false please help ASAP
Answer:
true :)
Step-by-step explanation:
Answer:
true
Step-by-step explanation: