Answer:
b
Step-by-step explanation:
Which graph represents the line that has a -intercept of 3 and goes through the point (2, 5) ?
Answer:
The second one
Step-by-step explanation:
Answer:
Is the third one,as you can see it goes thru the point (2,5)
Step-by-step explanation:
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.
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.
patterns A and B are generated using these rules pattern a start with 12 and add six pattern be start with 4 and add 2
One of the fastest times for 1500 meter race is 3 minutes and 34 seconds. How many seconds is this time?
A pet store sold 12 siamese cats. If the ratio of siamese cats to house cats sold was 2 : 1, what is the combined amount of cats sold?
Answer:
32 cats in total
Step-by-step explanation:
so 18 siamese
the ratio was9:7=siameese:house
18=9 units
divide 9
2=1 unit
house=7 units
7 times 2=14
14 house cats
combined=siameese+house=18+14=32
what is the answer of the file
Answer:
Check pdf
Step-by-step explanation:
Watch help video
You are at a restaurant and the check comes to a total of $29. If you want to
leave a 19% tip, how much total money should you pay, to the nearest cent?
Answer:
Submit Answer
attempt 1 out of 2
(hp
Answer:
$34.51
Step-by-step explanation:
Okay, to find percentage of numbers in problems, all you have to do is multiply 29 by 0.19 to get 5.51, that's the tip
you then add 29 and 5.51 to get $34.51
Please help me if you can 10 points if you help
Answer:
C) 0%
Step-by-step explanation:
Let’s give the square sides equaling 4. The area would equal 16.
Decreasing the top by 75% would make it 1. Increasing the bottom by 75% makes it 7.
(1+7)/2=4
The height is still four so 4x4=16
No change in area.
Please help
Find the perimeter of the following shape, rounded to the nearest tenth
Answer:
19.1
Step-by-step explanation:
i took the testttttt
Perimeter is the sum of the length of the sides used to make the given figure. The perimeter of the given shape is 19.1 units.
What is the length of any line on the graph?The distance or length of any line on the graph,
[tex]{\rm Distance} = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]
where,
d = distance or length of the line between points 1 and 2,
(x₁ , y₁) = coordinate of point 1,
(x₂ , y₂) = coordinate of point 2,
To find the perimeter of the given figure we need to calculate the length of each line segment on the given graph. Therefore, the length of the different sides of the given quadrilateral can be written as,
AB = √[(5-0)²+(-1-0)²] = √26 units
BC = √[(5-3)²+(-1+5)²] = √20 units
CD = √[(3+2)²+(-5+4)²] = √26 units
AD = √[(-4 - 0)²+(- 2 - 0)²] = √20 units
Perimeter = AB + BC + CD + AD
= √26 units + √20 units + √26 units + √20 units
= 19.1423 units ≈ 19.1 units
Hence, the perimeter of the given shape is 19.1 units.
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pls help me asapp quick easy 10 points
Gemma says that,2x/5 + x/7 = 3x/12
Why is Gemma wrong?
Work out the correct answer.
Solve and show work please! Help is appreciated ♥️
Answer:
16 pi
Step-by-step explanation:
Since 2r is the circumference and the radius is 8, it's 8 x 2 which gives you 16. You don't need to add in the pi since they already gave you at the options.
This banana 8 inches How many 0.4 inch slices of banana can be cut from this banana?
Answer:
20 banna slices can be cut from a banna
Step-by-step explanation:
8 divided by 0.4 equals 20
IA...
Perhatikan gambar di bawah ini!
R
doſ 1
OD adalah jari-jari lingkaran dalam segitiga PQR. Jika RQ-28 cm, PR
2D siku-siku dan PD-DQ. hitunglah :
a. Luas segitiga PQR
b. Panjang OD
c. Panjang OQ
ng
JAWABAN
² = QR² - QT²
= 13² - 5²
= 169 - 25
= 144
TR = √144
TR = 12 cm
Menentukan panjang PR
PR = 2 × TR
= 2 × 12 cm
PR = 24 cm
Josh build a tower using blocks that linked together. I notice that he had 36 block in 3/8 of his tower. Exactly how many blocks were in this entire tower?
A. 96
B. 60
C. 12
D. 13 1/2
Describe each graph in relation to its basic function.
a. Compare f(x) = (x - 2)^3 - 1 to the basic function g(x) = x^3
Explain in full sentences please!
Answer:
In a nutshell, [tex]f(x)[/tex] is obtained by applying an horizontal translation on [tex]g(x)[/tex], followed by a vertical translation.
Step-by-step explanation:
Let be [tex]g(x) = x^{3}[/tex] the parent function, [tex]f(x)[/tex] is obtained by applying an horizontal translation on [tex]g(x)[/tex], followed by a vertical translation, that is:
[tex]f(x) = g(x-a)-b,\,a,b\in\mathbb{R}[/tex] (1)
If [tex]a > 0[/tex], then translation is rightwards.
If [tex]b > 0[/tex], then translation in downwars.
If [tex]a = 2[/tex] and [tex]b = 1[/tex], then the resulting function is:
[tex]f(x) = g(x-2)-1[/tex]
[tex]f(x) = (x-2)^{3}-1[/tex] (2)
In a nutshell, [tex]f(x)[/tex] is obtained by applying an horizontal translation on [tex]g(x)[/tex], followed by a vertical translation.
x -8 = -11 what is X?
Answer:
x=-3
Step-by-step explanation:
How?
so the easiest and quickest way to answer these type of questions are to do the opposite.
so -11+8=-3
if you get a question like
3x+2=17
17-2=15
15 divided by 3=5
so x=5
hope that helps
thank you
Mark was thinking of a number. Mark subtracts 6.2 from the number and gets an answer of 68. Form an equation with
x
from the information.
Answer:
X= 6.2 + 68 ???
Step-by-step explanation:
I'm not sure that's what I would write in an exam
A swimming pool is 25 feet across. The angle of depression is 20. How deep is the pool?
ASAP BRAINLY I WON'T GET FULL GRADE IF ITS MISSING!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1. Trapezoid.
2. Rectangle, Parallelogram
3. Rhombus, Parallelogram
4. Rectangle, Parallelogram, Square
5. No, a figure cannot have more than one parallel side and exactly one parallel side at once.
Step-by-step explanation:
Hope ths helped.
PLZZZ HELP ME I DON'T GET THIS
what's the fourth proportional of 0.2, 0.5, 6
Answer:
15
Step-by-step explanation:
a:b::c:d
a/b=c/d .......(eq 1)
let a=0.2, b=0.5, c=6, d=x
Not put values in eq 1
0.2/0.5 = 6/a
By cross multiplication we get:
0.2xa = 6x0.5
0.2a = 3
Dividing by 0.2 on both sides we get
0.2a/0.2 = 3/0.2
a = 15
Therefore The fourth proportional is 15
If the bug jumps 7 units and lands at 0, where could it have started?
Answer:
7 or -7
Step-by-step explain
This depends on how it works. if we are including negative numbers then an option is -7. If we are going backwards and not including negatives then it would be 7
Please, What is the answer?
Explanation:
You can verify this by plugging each root into the equation.
So for instance, plug in x = -2 and we get
f(x) = -3*(x+2)*(x-sqrt(3))*(x-4)
f(-2) = -3*(-2+2)*(-2-sqrt(3))*(-2-4)
f(-2) = -3*(0)*(-2-sqrt(3))*(-2-4)
f(-2) = 0
This verifies x = -2 is a root.
All that matters is that zero buried in there in the second to last step. Multiplying 0 by anything leads to 0. The other roots are verified in the same manner. The -3 out front is the leading coefficient.
----------------
Extra info:
Choice B is eliminated because (x+3) being a factor implies that x = -3 is a root. But this isn't listed in the instructions.Choice C is a similar story to choice BChoice D is eliminated since -sqrt(3) is not one of the listed roots, so (x+sqrt(3)) is not a factor.Write the expression 12 x 4^2 in words
Answer and Step-by-step explanation:
Twelve times four squared.
This is how you would write the expression in word format.
#teamtrees #PAW (Plant And Water)
Answer:
Twelve times four squared.
Step-by-step explanation:
The total weight of 9 bags of potatoes is 36 kilograms each bag weights the same amount what is the weight in grams of each bag of potatoes
Answer:
4000
Step-by-step explanation:
36kg = 36000g
36000g/9 bags = 4000g
The weight of one bag of potatoes is 4 Kg,
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
The total weight of 9 bags of potatoes is 36 kilograms.
Then, weight of one bag of Potato is
= 36/9
= 4 Kg
Thus, One bag weigh 4 Kg.
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Solve the system of equations using the elimination method and enter the value of y
4x - 5y = -9
- 4x + y = -7
Answer:
y = 4; x = 11/4
Step-by-step explanation:
4x - 5y = -9
-4x + y = -7
Add the two equations to eliminate x:
-4y = -16
-4y/-4 = -16/-4
y = 4
Plug in y for x
4x - 5y = -9
4x - 5(4) = -9
4x - 20 = -9
4x = -9 + 20
4x = 11
4x/4 = 11/4
x = 11/4
Answer from Gauthmath
(1 + )1⁄3 + (1 − )1⁄3 = 21⁄3
This is due in like 45 minutes HELP
Answer:
what is the question....?
Answer:
Answer:We need to know the question!!
What is the name of the special angle pair relationship between 1 and 2?
O corresponding angles
O same-side interior angles
o alternate interior angles
O alternate exterior angles
The measure of <1 and <2 are alternate exterior angles
Alternate exterior anglesFrom the given diagram, the horizontal lines are parallel to each other with a transversal.
The alternate angles are formed from the shape formed by a letter Z. From the given diagram, the measure of <1 and <2 are alternate exterior angles
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