Answers
Answer:
I have made it in above picture
hope it helps
180 - 28 = x
DEF
180 - 25 - 20
Related Questions
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.
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⋂Cc
h. List the outcomes in Ac⋂C.
i. Are events A and C mutually exclusive? Explain.
j. Are events B and C mutually exclusive? Explain.
Answers
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.
Show how you found the slope and y-intercept
Answers
Answer:
Slope: [tex]\frac{5}{2}[/tex]
y-intercept: 0
Step-by-step explanation:
First, find the slope. Use two points given to you. In this case, I will use the following:
(x₁ , y₁) = (2 , 5)
(x₂ , y₂) = (4 , 10)
Use the following equation:
slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Plug in the corresponding numbers to the corresponding variables:
slope (m) = [tex]\frac{10 - 5}{4 - 2}[/tex] = [tex]\frac{5}{2}[/tex]
Note the slope intercept form:
y = mx + b
y = (x , y)
m = slope
x = (x , y)
b = y-intercept
Plug in the slope into m for the equation:
[tex]y = \frac{5}{2} x + b[/tex]
Choose a point to use to find b. In this case, I will use (2 , 5). Plug in 2 for x, and 5 for y:
[tex]5 = \frac{5}{2}(2) + b[/tex]
Simplify. Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other:
[tex]5 = \frac{5}{2}(2) + b\\5 = 5 + b\\5 (-5) = 5 (-5) + b\\b = 5 - 5\\b = 0[/tex]
Y-intercept: 0
Is 4(4f-8)+5= 16f+37
Answers
that’s the right answer
Can someone please help
Answers
Answer:
5y + 8
and
8y +5 are the same solutions.
Write the slope of a line that is parallel to the following line:
Answers
Answer:
y = 1/5x + 3
Step-by-step explanation:
To have a parralel line to another line, have the slopes of the lines be the same, just change the y- intecept. HOPE THIS HELPS!
A + A =2,A + B =3,A + B × 2 =??..only for geniuses
Answers
Answer: 5
Step-by-step explanation:
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
maximum height reached by the rocket, to the nearest tenth of a foot.
y = -16x2 + 136x + 57
Answers
Answer:
Maximum height = 346 feet
Step-by-step explanation:
Given that,
The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation as follows :
[tex]y = -16x^2 + 136x + 57[/tex] .....(1)
We need to find the maximum height reached by the rocket. For maximum height,
Put dy/dt = 0
So,
[tex]\dfrac{d}{dt}( -16x^2 + 136x + 57)=0\\\\-32x+136=0\\\\x=\dfrac{136}{32}\\\\x=4.25[/tex]
No, put x = 4.25 in equation (1).
[tex]y = -16(4.25)^2 + 136(4.25)+ 57\\\\y=346\ feet[/tex]
So, the maximum height reached by the rocket is equal to 346 feet.
at a clothing store, levi's jeans are on sale for 40% off. sales tax is 7%. which expression will calculate the total cost of levi jeans with an original price of x?
Answers
Given:
Discount = 40%
Sales tax = 7%
To find:
The total cost of levi jeans with an original price of x.
Solution:
Let x be the original price of the jeans. Then the price after 40% discount is
[tex]Price=x-40\%\text{ of }x[/tex]
[tex]Price=x-\dfrac{40}{100}x[/tex]
[tex]Price=x-0.4x[/tex]
[tex]Price=0.6x[/tex]
The price after 7% of sales tax.
[tex]Price=0.6x+7\%\text{ of }0.6x[/tex]
[tex]Price=0.6x+\dfrac{7}{100}\times 0.6x[/tex]
[tex]Price=0.6x+0.042x[/tex]
[tex]Price=0.642x[/tex]
Therefore, the total cost of the levi jeans with an original price of x is represented by the expression 0.642x.
Solve for x...............
Answers
Answer:
x=17
Step-by-step explanation:
Hello There!
The shown figure is a 6 sided figure and if you didn't know the interior angles of a 6 sided figure add up to equal 720
so
720=110+8x-1+5x+36+116+7x+19+6x-2
now we solve for x
step 1 combine like terms
110-1+36+116+19-2=278
8x+5x+7x+6x=26x
now we have
720=278+26x
step 2 subtract 278 from each side
720-278=442
we now have
442=26x
step 3 divide each side by 26
442/26=17
we're left with
x=17
A car dealer sells four model types: A,B,C,D. On a given week, this dealer sold 10 cars of model A, 5 of model B, 8 of model C and 3 of model D. The selling prices of each automobile are respectively $12,500, $11,800, $15,900 and $25,300. Represent the data using matrices and use matrix multiplication to find the total revenue.
Answers
me Q i did not know somebody Help My frann
Which graph shows a linear function?
Answers
Answer:
None of the above...
Step-by-step explanation:
The first one is a cubic function and the v-shaped one is an absolute value function.
Answer:
It is the 2nd graph. The graph that passes through x=3 and y=3.
Step-by-step explanation:
12cm and 8 cm find the ratio and reduce them in term of lowest term
Answers
Answer:
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Step-by-step explanation:
Need help ASAP!!!!!
Answers
Answer:
cos 45 degree = A/H
cos 45 degree = 2 square root 2 / x
x = 2 square root 2 / cos 45 degree
x = 4
Sin 45 degree = O/H
Sin 45 degree = y/ 4
4 x Sin 45 degree = y
y = 2.83
or
we could use tan
tan 45 degree = O/A
tan 45 degree = y / 2 square root 2
2 square root 2 x tan 45 degree = y
y = 2.83
i hope this would elp a little bit.
An angle measures 60 degree it is divided into 5 angles with equal measures. What is the measure of those angles
Answers
Answer:
Each part of the angle would measure 12 degrees
Step-by-step explanation:
How many inches are equal to 16 feet
Answers
Step-by-step explanation:
16 feet is equal to 192 inches.
Hope it helps :)❤
Answer:
192 inches is equal to 16 feet.
(Hope this helps! Btw, I answered first. Brainliest please! :D)
PLEASE HELP ITS DONE IN 8 HOURSS!!!!!!
Answers
all the other answers are outside of the points, hope this helps !
A ship caption is mapping
Answers
25 miles per hour
Explanation: In the 2nd column in the graph it says that in 1 hour (time) the ship captain can travel 25 miles (distance).
Glad to help!! :)
4. What is the circumference of a circle whose area is 81π cm squared?
Answers
Circumference = 2pi*r
Step 1: find the radius from area
81pi=pi*r^2
81=r^2
9=r
Step 2: plug in radius to the circumference equation
Circumference = 2pi*r
18pi is the answer, otherwise know as 56.52 as well.
Step-by-step explanation:
Let us assume R be the radius of circle We know that, area of circle = πR2 81πr2 = πR2 R = √81 r R = 9r Circumference = 2 πr = 2 π (9r) = 18πr
Somebody help me with this?
Answers
Answer:
2
Step-by-step explanation:
The solutions of a quadratic graph are the x-intercepts. As you can see from the graph, the only place that it intercepts the x axis is at 2, so the solution is 2.
Are the ratios 3:6 and 1:2 equivalent?
Answers
Answer:
yes these are equivalent bcz
3/6=1/2
Step-by-step explanation:
PlZ make me brainliest
Answer:
Yes
Step-by-step explanation:
3/6= 0.5
1/2= 0.5
Given a and b are numbers, and a + b = 180, which
statements also must be true?
a = 180 - 6
a - 180 = b
360 = 2a + 2b
a = 90 and b = 90
Answers
Also, 360 = 2a + 2b is correct
Can someone please answer this question
Giving brainleist!
Answers
Answer:
a) 9000
b) 40
c) 630
d) 125
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answers
Answer:
Yes
Step-by-step explanation:
(3, 2) is a solution to the given system of linear equations.
x - 8y = 3 - 8*2 = 3 - 16 = - 13
16x - 16y = 16(x - y) = 16( 3 - 2) = 16*1 = 16
2/5 g = 3/5 help I don't know what the answer is
Answers
Answer:
Step-by-step explanation:
2/5 g = 3/5
g = 3/5 - 2/5 = 1/5
2. Identify the relationship between the angles
given, then write and solve the equation to find
the value for the variable “x”.
Answers
Answer:
x is 21. dccxpxpdpdpdpdp
Answer:
Mutual
Step-by-step explanation:
33° +2x-15 =90
2x =90+15-33
2x=72
X=36
7x10+2x1+6x1/10+3x1/1000
Answers
Answer:72.603
Step-by-step :
70 + 2 + 6 ÷ 10 + 3 ÷ 1000
=72.603
Answer this correctly I’ll give u brainalist + 10 points
Answers
Answer:
c
Step-by-step explanation:
Answer:
C. II and III
Step-by-step explanation:
Vertical angles are all start across from each other.
So:
∠3 and ∠6 are across from each other
∠2 and ∠5 are across from each other
∠1 and ∠4 are across from each other
The only option with at least two of the true statements above is C.
Jake has 3.5 hours before bedtime he must spend 2 hours doing homework the rest of his time will be spent doing puzzles it takes Jake 1/2 hour to complete each puzzle which equation models the number of puzzles P jake can complete before bedtime
3.5 = 2 - (1/2)p
(1/2)p+ 2 = 3.5
3.5 + 2 = (1/2)p
(1/2)p - 2 = 3.5
Answers
Answer:
(1/2)p+2=3.5
Step-by-step explanation:
1/2 is hours he spends doing work p would be the variable for how many puzzles he can do plus the 2 hours for homework to equal 3.5 hours in all.
A store is advertising a 40% off sale. Find the new price of a pair of boots that were originally marked $149.00.
Answers
Answer:
89.4
Step-by-step explanation:
Okay well if 149=100% and there is a 40% we just have to find 60% and to do that we just multiply 149 by 0.60 to get 89.4
149*0.60=89.6
Find the area of the parallelogram.
The area of the parallelogram is [a] in2. please help
Answers
Answer: 117in²
Step-by-step explanation:
area of a parallelogram= bh (base times height)
13 times 9 = 117in²