Answer:
15ab
Step-by-step explanation:
if the AB is capital on purpose then its 15a^2b over AB
In a certain assembly plant, three machines, B1, B2, B3, make 30%, 45%, and 25%, respectively, of the products. It is known from past experience that 2%, 3%, and 2% of the products made by each machine, respectively, are defective.
A. Suppose that a finished product is randomly selected. What is the probability that it is defective?
B. If a product were chosen randomly and found to be defective, what is the probability that it was made by machine B3.
Answer:
a. The probability that the finished product selected is defective is 2.45%.
b. The probability that product chosen randomly was defective and made by machine B3 is 20.41%.
Step-by-step explanation:
Let A represents the defective product.
We also have the following from the question:
P(B1) = Probability or percentage of the made by machine B1 = 30%, or 0.30
P(B2) = Probability or percentage of the made by machine B2 = 45%, or 0,45
P(B3) = Probability or percentage of the made by machine B3 = 25%, or 0.25
P(A/B1) = Probability or percentage of product B1 that is defective = 2%, or 0.02
P(A/B2) = Probability or percentage of product B2 that is defective = 3%, or 0.03
P(A/B3) = Probability or percentage of product B3 that is defective = 2%, or 0.02
We can therefore proceed as follows:
A. Suppose that a finished product is randomly selected. What is the probability that it is defective?
To determine this, the rules of elimination is applied and we have:
P(A) = (P(B1) * P(A/B1)) + (P(B2) * P(A/B2)) + (P(B3) * P(A/B3)) ………… (1)
Where;
P(A) = Probability that the selected product is defective = ?
Substitutes the values defined above into equation (1), we have:
P(A) = (0.30 * 0.02) + (0.45 * 0.03) + (0.25 * 0.02)
P(A) = 0.006 + 0.0135 + 0.005
P(A) = 0.0245, or 2.45%
Therefore, the probability that the finished product selected is defective is 2.45%.
B. If a product were chosen randomly and found to be defective, what is the probability that it was made by machine B3.
To calculate this, the Bayes’ rule is employed as follows:
P(B3/A) = (P(B3) * P(A/B3)) / [(P(B1) * P(A/B1)) + (P(B2) * P(A/B2)) + (P(B3) * P(A/B3))] = (P(B3) * P(A/B3)) / P(A) ………….... (2)
Where;
P(B3/A) = The probability that product chosen randomly was defective and made by machine B3 = ?
Also, from the values already defined and obtained in part A, we have:
P(B3) = 0.25
P(A/B3) = 0.002
P(A) = 0.0245
Substituting the values into equation (2), we have:
P(B3/A) = (0.25 * 0.02) / 0.0245
P(B3/A) = 0.005 / 0.0245
P(B3/A) = 0.2041, or 20.41%
Therefore, the probability that product chosen randomly was defective and made by machine B3 is 20.41%.
PLEASE HELP THIS IS TIMED!
The table shows the dates,times, and high and low tide heights.
On what date and time was the lowest tide?
A) Thursday, Feb 7, at 2:29 p.m
B) Friday, Feb 7, at 9:21 p.m
C) Friday, Feb 8, at 2:24 a.m
D) Friday, Feb 8 at 3:16 p.m
Answer:
I just took the Unit test that had this question on edge and the answer is D ^^
Step-by-step explanation:
I took the unit test on Edge 2020-2021
The lowest tide was on Friday, Feb 8 at 3:16 p.m. Therefore, the answer is option (D).
What is a tide table?A tide table provides daily forecasts for the local times of low and high tides in addition to the height of such tides for a specific coastal region.
The tide table is given.
Note from the table that the lowest tide was on Friday, Feb 8 at 3:16 p.m.
Hence, the answer is option (D).
Learn more about the tide tables:
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I have alot of questions
Answer:
The coordinates of the vertex D. are (2, -5)
The coordinates of the vertex E. are (3, -2)
The coordinates of the vertex F. are (6, -4)
Step-by-step explanation:
The point D of the graph is located +2 on the x-axis and -5 on the y-axis
The point E of the graph is located +3 on the x-axis and -2 on the y-axis
The point F of the graph is located +6 on the x-axis and -4 on the y-axis
I hope that this helps! :)
can somebody please help me with this. 3x + 4(x+20)
Answer:7x + 80
Step-by-step explanation :simplify the expression
Help me please i need help right now!!
Answer:
110.23
Step-by-step explanation:
I just substituted 4 for x in the equation
If point S is located at (0, 0), point T is located at (0, 6), point U is located at (12, 0), and point V is located at (0, 10), what are the coordinates of point W that makes
Answer:
(20,0)
Step-by-step explanation:
Trust me :)
Answer:
(20,0)
Step-by-step explanation: trust the guy ^
1
Which equation has a constant of proportionality equal to1/2
Choose 1 answer:
Answer:
C
Step-by-step explanation:
3/6 = 1/2 when simplified.
How did you solve 1/2 + 3/4
Answer:
1 and 1/4
Step-by-step explanation:
First, make 1/2 in to fourths. So it's
2/4+3/4= x
Add the two fractions
2/4+3/4=5/4
5/4=1 and 1/4
At a carnival you win a prize if you get a heads, you must first choose a coin. There is a fair and a biased coin, while choosing each coin is equally likely, the biased coin has a 74% of landing tails. What is the probability of choosing the biased coin if you won a prize. a. 0.2600 b. 0.5968 c. 0.3421 d. 0.5243 e. None of the above
Answer:
c. 0.3421
Step-by-step explanation:
The computation of the probability of selecting the biased coin is shown below:
The probability of any coin selected is 1 ÷ 2
The probability in the case when the biased coin chosen & wins 1 ÷ 2 (1 - 0.74)
And, the win probability is 1 ÷ 2 (1 - 0.74) + 1 ÷ 2 (1 - 0.5)
Now the probability of biased or win is
= {1 ÷ 2 (1 - 0.74)} ÷ { 1 ÷ 2 (1 - 0.74) + 1 ÷ 2 (1 - 0.5)}
= 0.13 ÷ 0.38
= 0.3421
Hence, the correct option is c. 0.3421
I need help solving this
Answer:
It's D.
Step-by-step explanation:
31-4 = 27 , 63 + 27 = 90 :) so the answer's D. 31
Answer:
D) 31
Step-by-step explanation:.
It is a right angle. All right angles equal 90°. So the two angles add up to 90
90= 63 + x - 4
Add 4 to each side
94 = 63 + x
Subtract 63 to each side
31 = x
You and a friend are playing a game using a spinner divided into 4 equal sections, numbered 1 through Which of the following would not be a fair game? You win the pointer points at 1 or 2; otherwise, your friend wins. You win the pointer points at an even numberotherwise, your friend wins. You win if the pointer points at any number except 3; otherwise, your friend All of the above games are fair.
Answer:
You win if you spin any number except 3, otherwise your friend wins
Step-by-step explanation:
Because the spinner is divided into equal sections, there is an equal probability of spinning any number. In this case, you win by spinning a 1, 2, or 4, and your friend only wins by spinning a 3. The probability of you winning is 34, while the probability of your friend winning is only 14.
Which is the coefficient in the expression 7 + 14?
What is the blank answer?
Answer:
you.. need to provide a picture
Step-by-step explanation:
Anyone know the answer?
Answer:
kira put the points in the wrong places
Which of the following numbers of identical kits can Ms. Tyson make?
Answer:
answer is 1, 2, 6
Step-by-step explanation:
Answer:
1,2, and 6
Step-by-step explanation:
Jamel has a cell phone that has unlimited minutes and texts for $45 a month, but he has to pay $5 for each gigabyte of data he uses. If he does not want to spend more than $65 for his cell phone each month, how many gigabytes can he use?
Answer:
I think it's 4 gigabytes
Step-by-step explanation:
He only wants to pay 65$ and he already spends 45$ on his phone already. So you only have 20 dollars until his grand totaly of 65$ so 5x4= 20 so he can only use 4 gigabytes. Does that make sense? Hope I helped eheh
Which expression is equivalent to y^3-2y^2+y
Answer:
the first one i did it yesterday
help me plz I neeed
AnsWER:
shaded: 40% unshaded 60%
Step-by-step explanation:
ONLY 4 ROWS ARE SHADED
non shaded are 6 rows
10 rows in total
Answer:
shaded part represents 40% of the whole and the unshaded part represents 60% percent of the whole
Step-by-step explanation:
10 equal parts of the whole. 40 boxes are shaded meaning 40% of the whole is shaded. 60 boxes are not shaded meaning 60% percent of the whole is unshaded. Hope this helps!
PLZ HURRAY 25 POINTS PLZ HURRAYYYYY
Name two items for which it would make sense to use indirect measurement to find their heights.
Answer:
ruler and a foot rod stick
please help i’m begging you i’ll give brainlu
Answer:
3 X 5.25 + 2 X 2.00 + 2.25 = 15.75 + 4.00 + 2.25 = $22.00
(2,-2) and (4,1).
Y=
Answer:
I don't really understand but, the Y coordinate is always on the right side so therefore y= -2, and 1
(xYz)
Convert 5 feet 4 inches to centimeters. (2.54 cm = 1 inch) *
PLEASE HELPPPP
Answer:
162.56 cm
Step-by-step explanation:
also you can use a conversion calculator for faster results too
can i get brainliest plz
Michael’s $1200 car insurance is paid bi-yearly. The second payment is three times the first payment. Find the amount of the first and second payment.
7th grade math help me plzzzzz
Answer:
An atom is the smallest building block of matter
A molecule consists of group of two or more atoms held together by chemical bonds from the same or different elements.
HELP 6th GRADE MATH
To find the the area of a triangle, you can use the expression b x h divided by 2
where b is the base of the triangle and h is its height. What is the area of a triangle with a base of 2 and a height of 4?
Answer: What is the formula for finding the area of a triangle?
Not technically, but sometimes you may have to find the height using the Pythagorean Theorem, so if you have the hypotenuse and the base of a right triangle, the height, h = √(c^2 - b^2), so the area of the triangle could be found by A = 1/2 b √(c^2 - b^2), but it is the same principle as A = 1/2 b h.
Step-by-step explanation:
im in 6th grade to so thats easy
can anyone help me with this one...
A package of cookies includes 54 chocolate chip cookies. Peter is going to split these cookies with 4 of his friends. Write an expression to represent the situation.
Please help!!!...
Answer:
13 and a half
Step-by-step explanation:
54 / 4 simple math honey, let me know if you need more help my door is always open!
An expression to represent the situation is 54/4.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Given that, a package of cookies includes 54 chocolate chip cookies.
Peter is going to split these cookies with 4 of his friends.
So, the expression is Total number of cookies/Number of friends
= 54/4
= 13.5
Therefore, an expression to represent the situation is 54/4.
To learn more about an expression visit;
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Which statement best describes f (x) = negative 2 StartRoot x minus 7 EndRoot + 1?
Answer:
B
Step-by-step explanation:
Answer:
B : –6 is not in the domain of f(x) but is in the range of f(x).
Step-by-step explanation:
my dog is 5 1/2 years old. My cat is 4 1/2 years younger than my dog. how old is my cat
Answer:
1/2 years old
Step-by-step explanation:
5 1/2-4 1/2
HELP ME OUT HEREEEEEEEEE
Answer:
10.00 dollar
Step-by-step explanation:
Answer:
$10
Step-by-step explanation:
96.85 / 13 = 7.45
The closest possible answer (if you put it on a number line) is $10.
Which statement describes how to determine it a relation given in a table is a function?
If none of the outy values are repeated, the relation is a function.
It none of the input values are repeated, the relation is a function
If any of the input values are equal to the output values, the relation is a function
It all the output values are paired with the same input value, the relation is a function.
WILL GIVE BRANLIEST
Answer:
all of the above
Step-by-step explanation: