Answer:
a. Outcomes of A = { (C,C,C) , (D,D,D), (S,S,S) }
b. Outcomes of B = { (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }
c. Outcomes of C = { (C,C,C),(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C) }
d. Outcomes of A⋂C = { (C,C,C) }
e. Outcomes of Sample space = { (C,C,C), (C,C,D), (C,C,S), (C,D,C), (C,D,D), (C,D,S), (C,S,C), (C,S,D), (C,S,S), (D,C,C), (D,C,D),(D,C,S), (D,D,C), (D,D,D), (D,D,S), (D,S,C), (D,S,D), (D,S,S), (S,C,C), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), (S,S,S) }
f. Outcomes of A U B = { (C,C,C) , (D,D,D), (S,S,S), (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }
g. Outcomes of A⋂[tex]C^{c}[/tex] = { (D,D,D), (S,S,S) }
h. Outcomes of [tex]A^{c}[/tex]⋂C = {(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C)}
i. Events A and C are not mutually exclusive
j. Events B and C are mutually exclusive
Step-by-step explanation:
Given - Three times each day, a quality engineer samples a component
from a recently manufactured batch and tests it. Each part is
classified as conforming (suitable for its intended use),
downgraded (unsuitable for the intended purpose but usable for
another purpose), or scrap (not usable). An experiment consists
of recording the categories of the three parts tested in a particular
day.
To find - a. Let A be the event that all the parts fall into the same
category. List the outcomes in A.
b. Let B be the event that there is one part in each category.
List the outcomes in B.
c. Let C be the event that at least two parts are conforming.
List the outcomes in C.
d. List the outcomes in A⋂C
e. List the 27 outcomes in the sample space.
f. List the outcomes in A U B.
g. List the outcomes in A⋂[tex]C^{c}[/tex]
h. List the outcomes in ⋂C.
i. Are events A and C mutually exclusive? Explain.
j. Are events B and C mutually exclusive? Explain.
Proof -
Let
Conforming part = C
Downgraded part = D
Scrap part = S
a.)
Given , Let A be the event that all the parts fall into the same category.
Outcomes of A = { (C,C,C) , (D,D,D), (S,S,S) }
b.)
Given, Let B be the event that there is one part in each category.
Outcomes of B = { (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }
c.)
Given, Let C be the event that at least two parts are conforming.
Outcomes of C = { (C,C,C),(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C) }
d.)
Outcomes of A⋂C = { (C,C,C) }
e.)
Outcomes of Sample space = { (C,C,C), (C,C,D), (C,C,S), (C,D,C), (C,D,D), (C,D,S), (C,S,C), (C,S,D), (C,S,S), (D,C,C), (D,C,D),(D,C,S), (D,D,C), (D,D,D), (D,D,S), (D,S,C), (D,S,D), (D,S,S), (S,C,C), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), (S,S,S) }
f.)
Outcomes of A U B = { (C,C,C) , (D,D,D), (S,S,S), (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }
g.)
Outcomes of [tex]C^{c}[/tex] = { (C,D,D), (C,D,S), (C,S,D), (C,S,S), (D,C,D),(D,C,S), (D,D,C), (D,D,D), (D,D,S), (D,S,C), (D,S,D), (D,S,S), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), (S,S,S) }
Outcomes of A⋂[tex]C^{c}[/tex] = { (D,D,D), (S,S,S) }
h.)
Outcomes of [tex]A^{c}[/tex] = {(C,C,D), (C,C,S), (C,D,C), (C,D,D), (C,D,S), (C,S,C), (C,S,D), (C,S,S), (D,C,C), (D,C,D),(D,C,S), (D,D,C), (D,D,S), (D,S,C), (D,S,D), (D,S,S), (S,C,C), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), }
Outcomes of [tex]A^{c}[/tex]⋂C = {(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C) }
i.)
As we two that Two events A and C are mutually exclusive iff A ∩ C = ∅
Now,
A ∩ C = { (C,C,C) }
⇒Events A and C are not mutually exclusive.
j.)
As we two that Two events B and C are mutually exclusive iff B ∩ C = ∅
Now,
B ∩ C = ∅
⇒Events B and C are mutually exclusive.
FREE BRAINLIST NEED HELP ASAP
Answer:
A
Step-by-step explanation:
If PQRS is a kite, find m angle Q
Answer:
m<Q = 78°
Step-by-step explanation:
First, find the value of x:
7x + 2 = 10x - 31 (Non-vertex angles of a kite are congruent to each other)
Collect like terms
7x - 10x = -2 - 31
-3x = -33
Divide both sides by -3
x = 11
Find m<Q:
Sum of all angles in a kite = 360°
Therefore,
m<Q + m<P + m<S + m<R = 360°
m<Q + (7x + 2) + 124 + (10x - 31) = 360
Plug in the value of x
m<Q + (7*11 + 2) + 124 + (10*11 - 31) = 360
m<Q + 79 + 124 + 79 = 360
m<Q + 282 = 360
Subtract 282 from both sides
m<Q + 282 - 282 = 360 - 282
m<Q = 78°
Find the other endpoint when the midpoint is (4, 1) and one endpoint is (5,-1)
Answer:
(3,3)
Step-by-step explanation:
the difference between 5 and 4 is 1 so move down 1 from the mid point giving you 3
the difference between 1 and -1 is 2 so move right 2 from the mid point giving you 3
(3,3)
Daniel puts some wheat flour into an empty bowl. Then he add 2/3 cup rye flour to make a total of 2 5/12 cups of flour. How much wheat flour is in the bowl.
Answer:
1 3/4 cups of wheat flour is in the bowl
Step-by-step explanation:
x + 2/3 = 2 5/12
First, convert the 2/3 to 12ths by multiplying numerator and denominator by 4 = 8/12
Then convert the 2 5/12 to an improper fraction 29/12
x + 8/12 = 29/12
subtract 8/12 from both sides
x = 21/12 = 1 9/12 = 1 3/4
Describe the slope of the line.
The slope is
Find the slope.
m =
help please
Step-by-step explanation:
In order to find the slope, we must know the formula needed.
[tex]\frac{y2}{x2} -\frac{y1}{x1} =m[/tex]
Using 2 given points, we can subtract both and receive our final answer.
Points that are provided:
(4, 3)(1, -1)Substitute the given points into the formula format.
Then, solve.
[tex]\frac{3}{4} -\frac{-1}{1} =\frac{4}{3}[/tex]
m = 4/3
The slope is positive. Meaning that the slope is increasing for the value of y.
Triangle Theorems helppppppp
Answer and Step-by-step explanation:
Answer is in picture.
The angles of a triangle add up to 180.
There are TWO 9x + 1 because they are the base angle pairs.
I hope this helps!!
#teamtrees #PAW (Plant And Water)
Find the area of each. Use pi = 3.14
Please help!!! I need to get this done by today really soon but I’m really confused.
Answer:
Me encanta el pollo, de todos modos, un día que es hoy, por cierto, fui a la tierra de los pollos y caminé en México, ¿sabías que es mi sueño? ¿Olvidé que mi nombre es jemma y me gusta caminar? párrafo así que nos vemos
Step-by-step explanation:
Answer:
Me encanta el pollo, de todos modos, un día que es hoy, por cierto, fui a la tierra de los pollos y caminé en México, ¿sabías que es mi sueño? ¿Olvidé que mi nombre es jemma y me gusta caminar? párrafo así que nos vemos
- my friend wrote her name Esperanza~!
How do write 400% as a fraction , mixed number, or whole number
Answer:
400/10
Step-by-step explanation:
yeet
Answer:
4
Step-by-step explanation:
400% = 400/100 = 4
Which graph represents the function?
f(x)=−x2+x+6
i just need the bottom one
Answer:
X _> 3
Step-by-step explanation:
6/2 = 2x/2
3 = x
x = 3
< Previous
Question 3
Next >
The right triangle has a square adjacent to each of its sides. What is the area of the square on the
shortest side of the right triangle?
A = 169ft?
A = 144ft?
A
5 square feet
13 square feet
Answer:
what are you trying to find?
Solve the inequality for v.
5v-9> 66
Answer:
v>15
Step-by-step explanation:
add 9 to 66
5v>75
v>15
Answer: v>15
Step-by-step explanation:
The inequality can be treated as an equal sign and solved normally. Add 9 to both sides to get 5v>75, then divide to get v>15.
NOTE: If an inequality is divided by a negative number, the sign flips (> to <, etc.)
PLEASE HELP URGENT!!
WILL GIVE BRAINLIEST
find the area of the composite figure.
-126 cm2
-140 cm2
-252 cm2
-280 cm2
Answer:
252cm².because,
we know Formula for finding Area of Trapizm.
That is,
1/2 × Sum of length of parallel sides × Height.
Here, we have 2 congruent Trapizm.
so,
Lengths of parallel sides = 16 and 20.
16 + 20 = 36.
Height = 7 cm.
Using Formula.
1/2 × 36 × 7
18 × 7
126 cm²
Here, we have two Trapizm...
so that..
126 × 2 = 252cm².
Answer:
252cm².
Step-by-step explanation:
I took the test
A rectangular prism has a length of 312 inches, a width of 312 inches, and a height of 7 inches. Danny has a storage container for the prism that has a volume of 90 cubic inches.
What is the difference in volume between the prism and the storage container?
Answer:
The answer is 429 meters
Step-by-step explanation:
I took the test and got it correct
how do I find the distance between (3,4) and (5,4)
Answer:
2
Step-by-step explanation:
the y values are the same so you just have to subtract the biggest x value from the smallest x value
5-3=2
please help!!!!! Its timed !!!!! Ill give out most brainly and extra points !!!
Answer:
A)12Step-by-step explanation:
to understand thisyou need to know about:equationPEMDASlet's solve:according to the question
[tex] \sf \: 2x + 4 + 62 = 90[/tex]
simplify addition:
[tex] \implies \sf 2x + 66 = 90[/tex]
subtract 66 from both sides:
[tex] \sf\implies 2x + 66 - 66 = 90 - 66 \\ \sf\implies2x = 24[/tex]
divide both sides by 2:
[tex] \sf \implies \: \frac{2x}{2} = \frac{24}{2} \\ \sf \therefore \: x = 12[/tex]
Answer:
Solution given:
62°+2x+4+90=180°[ sum of interior angle of a triangle is 180°]
2x=180-156°
x=24°/2
x=12°
Which of the series below converge? 1 + 9 + 81 + 729 + … 1 + 0.25 + 0.0625 + 0.015625 + … 625 – 125 + 25 – 5 + … 8 – 16 + 32 – 64 + …
Answer:
B, C, E
Step-by-step explanation:
Got it right on edge
The series C: 625 – 125 + 25 – 5 + … converges. Explanation given.
What is common ratio?The distance between each number in a geometric series is known as the common ratio. The ratio between two consecutive numbers, or a number divided by the number before it in the sequence, is known as the common ratio since it is the same for all numbers or common.
Given series:
A: 9 + 81 + 729 + …
B: 1 + 0.25 + 0.0625 + 0.015625 + …
C: 625 – 125 + 25 – 5 + …
D: 8 – 16 + 32 – 64 + …
To prove convergence:
A: 9 + 81 + 729 + …
Simplifying,
9 + (9)² + (9)³+ ....
The first term = 9
The second term = (9)²
So, the ratio = 9
That means, the geometric series with common ratio
IrI = 9 > 1
So, if the common ratio of geometric series is greater than 1 then the series diverges.
B: 1 + 0.25 + 0.0625 + 0.015625 + …
Simplifying,
1 + (1/4) + 1/(4)²+ ....
The first term = 1
Second term = 0.25
Third term = 0.0625
The ratio r = 4
IrI = 4 > 1
So, if the common ratio of geometric series is greater than 1 then the series diverges.
C: 625 – 125 + 25 – 5 + …
Simplifying,
The first term = 625
Second term = 125
Third term = 25
The ratio r = -125/625 = -1/5
IrI = 1/5 < 1
So, if the common ratio of the series is lesser than 1 then the series converges.
D: 8 – 16 + 32 – 64 + …
The first term = 8
Second term = -16
The ratio = -16/8 = -2
IrI = 2> 1
So, if the common ratio of the series is greater than 1 then the series diverges.
Therefore, the series C converges.
To learn more about the common ratio;
https://brainly.com/question/13637951
#SPJ2
PLEASE HELP ME BEST ANSWER GETS BRAINLIEST NO SCAMS PLEASE!
This is an example of a random sample: Surveying people in the library about whether they like to read books.
True
False
Answer:
False
Step-by-step explanation:
People reading in a library are most likely going to like to read books
Answer:
false i thin if not sorry
Step-by-step explanation:
YEE YEE
Type your answer in the box.
b=2 y=6 o=4.
b3 - y - o
Answ
70
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
just took the quiz
She has completed 50 sit-ups, which is 25% of her goal for sit-ups. How many total sit-ups does Sami
plan to do? Use the tape diagram to solve.
need help ASAP! please answer
Answer:
c
a
Step-by-step explanation:
I'll give points and brainalist for answer / explanation
Answer:
557.8
Step-by-step explanation:
Because the semi circle on the top and the semi circle on the bottom form a circle with an area of 314.16.
The semicirlces on either side form a circle with an area of 66.48.
Then the rectangle in the middle has an area of 9 times 20 which is 180.
If you add those areas together you get the total area which is about 557.8
I hope this is helpful :)
1/5 + 1/5 + 1/5
3/5
1/5
2/5
Step-by-step explanation:
the answer will be 3/5 hope it helps
Answer:
3/5
Step-by-step explanation:
It is like addition, 1 + 1 + 1 which equals to 3.
I need help with this
Answer:
y=10x
Step-by-step explanation:
legit just searched it up
HELP ASAP I WILL MARK BRAINLIST!!!!
Answer 25 degrees
Step-by-step explanation:
90-65 =25
How can you use standard deviations to compare the spread of each data set?
Sample A: 2,5,1,2,3,3,4,3
Sample b: 10,5,1,2,3,7,4,3
Calculate the standard deviation for each data set:
Sample A = 1.246
Sample B = 2.924
The smaller the deviation the closer the data set is, the larger the deviation the more widespread the data set is.
Sample B has a larger deviation so the spread of the data is wider.
The RANGE of the graphed function is
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
distributive property 3(4+3r)
Answer:
12+9r
Step-by-step explanation:
3*4+3*3r
12+3*3r
12+9r
Ibrahim filled a bucket with 5 7/8 gallons of water. Later, he poured out 4 5/8 gallons of the water. How much water is left in the bucket?
Answer:
1 2/8 gallons are left
Step-by-step explanation:
5 7/8 - 4 5/8= 1 2/8