Circuit boards from two assembly lines set up to produce identical boards are mixed in one storage tray. As inspectors examine the boards, they find that it is difficult to determine whether a board comes from line A or line B. A probabilistic assessment of this question is often helpful. Suppose that the storage tray contains 10 circuit boards of which six came from line A and four from line B. An inspector selects two of these identical-looking boards for inspection. He is interested in X, the number of inspected boards from line A.
a. Find the probability function for X .
b. Graph the probability function of X .
c. Find the distribution function of X .
d. Graph the distribution function of X .
Answer:
a) X = 2/15 , 8/15, 1/3
b) attached below ( probability plot )
C) F(x ) attached below
d) cumulative probability plot
Step-by-step explanation:
a) Determine the probability of Function X
P( x = 0 ) = 6 / 45 = 2 /15 = 0.1333
P( x = 1 ) = 8/15 = 0.5333
P( x = 2 ) = 1/3 = 0.3333
Hence the probability of Function X = 2/15 , 8/15, 1/3
b) Graph of the probability Function of X
x 0 1 2
p(x) 0.1333 0.5333 0.3333
attached below is the plot ( probability plot )
c) Determine the Distribution function of CX
using the results achieved in part ( a )
attached below is the solution
d) Graph of distribution function of X
x 0 1 2
p(x) 0.1333 0.6667 1
attached below is the plot ( cumulative probability plot )
find the area of the triangle ! be sure to include the correct unit with the answer. (yd) , (yd2) , (yd3) .
HELP PLEASE ! i really need it . thank you
Answer:
70 yd²
Step-by-step explanation:
Area of triangle = (1/2)(base)(perpendicular height)
= (1/2)(20)(7)
= 70 yd²
Compare the value of the 3 in 340, 500 to the value of the 3 in 3,160,000
Which statement is true?
Answer:
C.
Step-by-step explanation:
If ADB= 15° then What is ACB
Answer:
30 degrees
Step-by-step explanation:
<ACB is a central angle while <ADB is an inscribed angle.
Central angles are twice the size of inscribed angles.
Therefore, <ADB*2 = <ACB . 15*2=30
-3x-6=12 what does x equal
Answer:
-6
Step-by-step explanation:
Kenny and Ben start competing businesses selling hats. Kenny buys supplies, costing $3, before he starts selling his
hats for $0.50 each.
Ben sells his hats for $0.25 each and spent only $1 on supplies. At
what point have they sold the same number of hats and made the
same profit (income minus costs)?
HELP PLZ
Answer:
Once Kenny gets 6 hats sold, he could gain the $3 he spent back, and once Ben sells 4 hats, he could gain the $1 he spent back.
Step-by-step explanation:
NO LINKS/FLIES PLEASE .
Morgan pays $25 in monthly fees for her baseball team's uniforms and field rental. What kind of expense is the fee she pays?
A. Variable
B. Income
C. Fixed
D. This would not be an expense.
Consider the function g(x) = StartLayout Enlarged left-brace first row negative 9, x less-than 11 second row 7, x greater-than-or-equal-to 11 EndLayout.
What is Limit of g (x) as x approaches 11, if it exists?
–9
–1
7
DNE
The limit as g(x) approaches 11 doesn't exist.
[tex]\lim_{x \to 11} g(x) = DNE[/tex]
It looks like you are working with the following piecewise defined function:
[tex]g(x)=\left \{ {{-9;x<11} \atop {7;x\geq11}} \right.[/tex]
There is a rule in calculus that tells us that for a limit to exist, both lateral limits must be the same as x approaches a given value. This is:
[tex]\lim_{x \to a^{-}} f(x)=\lim_{x \to a^{+}} f(x)[/tex]
if and only if this is true, then:
[tex]\lim_{x \to a^{-}} f(x)=\lim_{x \to a^{+}} f(x)=\lim_{x \to a} f(x)[/tex]
if that condition isn't met, then the limit doesn't exist.
So let's calculate the lateral limits for this function:
[tex]\lim_{x \to 11^{-}} g(x) = -9[/tex]
This means that as x approaches 11 from the left, the function will return a value close to -9
Now, let's calculate the lateral limits for this function:
[tex]\lim_{x \to 11^{+}} g(x) = 7[/tex]
This means that as x approaches 11 from the right, the function will return a value close to 7
You can better visualize this in the graph of the function which I attached to this answer.
Notice that both lateral limits are different, from the left you got a -9 and from the right you got a 7. Therefore, according to the rule I wrote above, the limit does not exist.
For more information on this topic, you can go to the following link:
https://brainly.com/question/17334531?referrer=searchResults
Answer:
D) DNE
Step-by-step explanation:
edge 2021
is this right please hep
17 meters because 5^2+12^2=17 meaning the answer must be d
Answer:
yes you are right! the answer is c
Step-by-step explanation:
**reminder: the hypotnuse is always your longest side**
first do 5 square = 25
then do 12 squared = 144
now add 25+144= 169
and finally you do 169 square root which equals 13
Hope this helped!
Triangle TAB has a perimeter of 40 cm. Could the measures of the sides, as shown, actually represent the measures of the sides of a triangle? Justify your answer.
Answer:
NO
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle is greater than the length of the third side. And this MUST true for ALL combinations
12 +8 IS NOT greater than 20
4x +2x+2 +x+3 = 40
7x +5=40
7x =3 5
x=5
side 4x = 20
side x+3 = 8
side 2x+2 = 12
20 +8 is bigger than 12
20+12 is bigger than 8
12 + 8 IS NOT BIGGER than 20 (it's just the same)
A swimming team has 16 members. The coach wants to create teams of 4 swimmers to compete in the relay race. How many different teams of 4 can she make without repetition?
There is 1820 ways of teams of 4 can she make without repetition using combination formula.
What is combination?
Selections are another name for combinations. The choice of items from a predetermined group of items corresponds to combinations. We don't want to organise anything here. We are going to choose them. We use the notation nCr to indicate how many distinct r-selections or combinations there are among a set of n objects. A combination is distinct from an arrangement or a permutation. No matter how the objects are arranged, combinations are produced by choosing some or all of them.
Here There are 16 total swim team members and 4 swimmers that will be chosen for each relay team.
So, n=16 and r=4. Then
=> nCr = [tex]\frac{n!}{r!(n-r)!}[/tex]
=> 16C4 = [tex]\frac{16!}{4!(16-4)!}[/tex]
=> 16C4 = [tex]\frac{16!}{4!*12!}[/tex]
=> 16C4 = [tex]\frac{16*15*14*13}{4*3*2*1}[/tex]
=>16C4 = 4*5*7*13 = 1820
Hence there is 1820 ways of teams of 4 can she make without repetition.
To learn more about combination refer the below link
https://brainly.com/question/28065038
#SPJ1
If you place a 28-foot ladder against the top of a 22 foot building
Answer:
17.3 ft
Step-by-step explanation:
To find the second leg, use the following: √c² - a². Substitute c for 28, and a for 22.
b = √28² - 22² {Square 28 to get 784, and square 22 to get 484.}
b = √784 - 484 {Subtract 484 from 784 to get 300.}
b = √300 {Find the square root of 300.}
b = 17.32051 {Round to the nearest tenth.}
b = 17.3 ft.
The bottom of the ladder will be 17.3 ft from the bottom of the building.
I hope this helps! ^w^
Find the 8th term of the geometric sequence show below
Answer:
Alli khanaw .................
Answer:
8x^36
Step-by-step explanation:
first term (a) = [tex]8x^{8}[/tex]
Second term (t2)= [tex]8x^{12}[/tex]
common ratio (r)
= [tex]\frac{8x^{12} }{8x^{8} }[/tex]
= [tex]x^{4}[/tex]
now the 8th term of the G.S is
t8 = [tex]ar^{n-1}[/tex]
= [tex]8x^8 * (x^4)^8^-^1[/tex]
= [tex]8x^8 * (x^4)^7\\[/tex]
= [tex]8x^8 *x^2^8\\= 8x^3^6[/tex]
hope it will help
Kurt recorded the amount of rainfall in each month for one year. What was the total rainfall that year?
Answer:wheres the question
sadStep-by-step explanation:
sadsadsa
At West High School, 10% of the student population is taking a calculus course, 8% is taking a physics course, and 6% is taking both. Find the probability that a student chosen at random is taking a physics course, given that the student is taking a calculus course. A. 0.06 B. 0.60 C. 0.70 D. 0.75
Answer:
the closest answer I got was A
Step-by-step explanation:
hope this helped at all
Answer:
It's B
Step-by-step explanation:
find the hypotenuse if the base is 300 and altitude is 400
Answer:
okAy
Step-by-step explanation:
hypo(square) = altitude(square)+base,(square)
so hypo(square) =300(square)+400(square)
Answer:
500
Step-by-step explanation:
300² + 400² = 500²
pythagorean theorem
Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT.
Answer:
Answer B will be the best answer for your question.
Step-by-step explanation:
Polygons usually have straight sides, but this one does not.
-> What is the remainder of 46 divided by 48?
the answer would be 0.9583
The following article was presented as supplemental reading in Unit 7:
Joshanloo, M., Rastegar, P., Bakhshi, A. (2012). The big five personality domains as predictors of social wellbeing in Iranian university students. Journal of Social and Personal Relationships. 29(5), 639-660.
The researchers presented this correlation matrix:
Which of their alternative hypotheses were supported by the evidence at a minimum of alpha .05 (choose one or more)?
-Neurotism was negatively associated with total social wellbeing
-Openness is positively associated with total social wellbeing
-Agreeableness is positively associated with total social wellbeing
-Conscientiousness is positively associated with total social wellbeing
-Extraversion is positively associated with total social wellbeing
Answer:
Candice
Step-by-step explanation:
Simplify the expression x^5 •x^7?
Solve for x:
3x - 6 = 12
Answer:
x = 6
Step-by-step explanation:
3x - 6 = 12
3x = 18
x = [tex]\frac{18}{3}[/tex]
x = 6
Jackie converted the following decimals to fractions which decimal did she convert incorrectly
Answer:
Step-by-step explanation:
Round 3.28 to the nearest thousandth
Answer:
3.280
Step-by-step explanation:
You just add a 0
plz help for a brainly
Answer:
364yd^2
Step-by-step explanation:
LxWxH
Answer:
its 364
Step-by-step explanation:
you do length times width times height
Which expression is equivalent to 4/9 × 7
key:
1. 9÷4×7
2. 4×7÷9
3. 4÷7×9
4. 7×9÷4
Thank you :)
Stacy owes 13.65 for text messging in the month of September if her text messaging plan cost 12 for the first 300 messages and 5c for each text message how many text messages did she send that month
Answer:
need points
Step-by-step explanation:
Lulu finished a race in 42 minutes. Last year she took 3 minutes longer. Which equation can be used to find her finishing time last year?
you should add two sums to get higher equation that means he took 45 minutes last year that is
42+3=45
Help me on this plz
Whoever will answer the second question will be marked brainliest.
answer faaaast
An object has a weight of 6.4 N.
Calculate the mass of the object.
Use the equation
mass = weight = gravitational field strength (g)
gravitational field strength = 9.8 N/kg
Answer:
Step-by-step explanation:
We can do this quite simply by using Newton's equation: forcegravity = G × M × mseparation2 .
Suppose: your mass, m, is 60 kilogram; the mass of your colleague, M, is 70 kg; your centre-to-centre separation, r, is 1 m; and G is 6.67 × 10 -11 newton square metre kilogram-2.