Answer:
Approximately [tex]37\%[/tex].
Step-by-step explanation:
Let [tex]X[/tex] denote the machine that produced the item. Let [tex]Y[/tex] denote whether the item was defective or not. (Let [tex]Y = 1[/tex] if the item is defective and [tex]Y = 0[/tex] otherwise.)
The question is asking for the probability of the event [tex]X = B[/tex] (the selected item was produced by machine [tex]B[/tex]) given that [tex]Y = 1[/tex] (the selected item was defective.) This probability could be denoted as: [tex]P(X = B \; | \; Y = 1)[/tex].
Quantities given in this question are:
[tex]P(Y = 1\; | \; X = A)[/tex], [tex]P(Y = 1\; | \; X = B)[/tex], and [tex]P(Y = 1\; | \; X = C)[/tex], as well as[tex]P(X = A)[/tex], [tex]P(X = B)[/tex], and [tex]P(X = C)[/tex].Apply Bayes' Theorem to express [tex]P(X = B \; | \; Y = 1)[/tex] in terms of these quantities. By Bayes' Theorem:
[tex]\begin{aligned} & P(X = B\; | \; Y = 1) \\ =\; & \frac{P(X = B\; \cap Y = 1)}{P(Y = 1)}\\ =\; & \frac{P(Y = 1\; |\; X = B)\, P(X = B)}{P(Y = 1)}\end{aligned}[/tex].
Find the value of [tex]P(Y = 1)[/tex] (probability that a random item from this plant is defective) by marginalizing over all possible values of [tex]X[/tex]. This value is like a weighted average of the defective rate of each machine. The weights here would be the percentage of items produced by each machine.
[tex]\begin{aligned}& P(Y = 1) \\=\; & P(Y = 1\; | \; X=A)\, P(X = A) \\ &+ P(Y = 1\; |\; X = B)\, P(X = B) \\ & + P(Y = 1\; |\; X = C)\, P(X = C) \\ =\; & 0.01 \times 0.40 \\ &+ 0.015 \times 0.35 \\ &+ 0.02 \times 0.25 \\ =\; & 0.01425\end{aligned}[/tex].
Substitute in the given quantities [tex]P(Y = 1\; |\; X = B) = 0.015[/tex] and [tex]P(X = B) 0.35[/tex] into the expression from Bayes' Theorem:
[tex]\begin{aligned} & P(X = B\; | \; Y = 1) \\ =\; & \frac{P(Y = 1\; |\; X = B)\, P(X = B)}{P(Y = 1)} \\=\; & \frac{0.015 \times 0.35}{0.01425} \\\approx\; & 0.37 = 37\%\end{aligned}[/tex].
Which one is it? I really need help.
Answer:
-144ft below sea level
Step-by-step explanation:
It is a linear equation. Written as y=14x-270. So what you do is substitute x for 9,
y=14(9)-270
y=126-270
y=-144
Answer:
I think the answer is A. The submarine was 144 feet below sea level(-144) after 9 minutes.
Step-by-step explanation:
This is how i got me answer:
z=9
14 x 9 = 126
-270 + 126 = -144
square root of complex no. a+bi.....please answer it fast i m waiting
Step-by-step explanation:
[tex](x { }^{2} - {y}^{2} ) {}^{2} = ( {x}^{2} + y {}^{2} ) {}^{2} - 4x {}^{2} y {}^{2} [/tex]
The product of 5 and x decrease by 7 is as much as 42.
Help view the picture find the value of p
Answer:
the answer of the problem p=32
A wire is bent to form semi circles as shown below. How long is the wire? Use 3.14 for pi and round your answer to the nearest hundredth if necessary
4 semi circles and the diameter is 41
======================================================
Explanation
Those 4 semicircles can be joined to form 4/2 = 2 full circles.
Each circle has diameter 41 cm.
Let's find the circumference of one circle
C = circumference, d = diameter = 41, pi = 3.14
C = pi*d
C = 3.14*41
C = 128.74
That's the perimeter of one full circle. Double it to get
2*128.74 = 257.48 cm
Which is the total length of the wire.
2(x+9)-4=68 pls help me 60 points!!!!
Answer:
x=27
Step-by-step explanation:
2x+18-4=68
2x+18=72
2x=54
x=27
I hope this helps even the slightest!
Please mark brainliest!
A dog eats .5 of a pound of food every 50 minutes, at this rate how many pound will the dog have eaten after 200 minutes
The number of rate eaten by dog after 200 minutes: 2 pounds
What is ratio & proportion ?A ratio is a divisional comparison of two quantities. It uses a fraction or quotient to represent the relationship between two numbers or quantities. For instance, we can describe the ratio 3:5 or the fraction 3/5 if we declare that there are 3 guys for every 5 ladies in a classroom.
Contrarily, the proportion equation declares that two ratios are equivalent. We can utilise proportion to solve problems with unknown amounts if we have two ratios that are equivalent.
We can use proportion to solve this problem:
If a dog eats 0.5 pound of food every 50 minutes, then in 1 minute, the dog will eat 0.5/50 = 0.01 pound of food.
Therefore, in 200 minutes, the dog will eat 0.01 x 200 = 2 pounds of food.
So the dog will have eaten 2 pounds of food after 200 minutes.
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The diagram shows the graph of y=2x+c
Find the value of k
Answer:
can you add the photo
Step-by-step explanation:
Answer:
Value of K:
K=6.5
Step-by-step explanation:
You spend $40 on $5 pounds of concrete.what is the unit rate in dollars per pound
Answer:
$8/pound
Step-by-step explanation:
$40 ÷ 5 lbs = 8$ per pound
Help me please!!!!
In a car race, for every mile covered by car A, car B covered 4 miles. The ratio of the number of miles covered by car A to the number of miles covered by car B is ___.
1 to 1
4 to 4
4 to 1
1 to 4
Answer:
1 to 4
Step-by-step explanation:
I don't think u want the explanation
Solve the inequality. Graph your solution.
-2m < 12
Answer:
M<-6 is the answer
Step-by-step explanation:
divide -2 on both sides and 12÷-2 is -6 so m<-6
a) The card states that it makes 60 cookies. How much flour is required for 30 people?
b) The card states that it makes 60 cookies. How much salt is required for 30 people?
Answer:
assuming each person gets one cookie
a 1 1/4 C
b 3/8 tsp
Step-by-step explanation:
divide recipe in half
a 2.5/2=1.25
b 3/4 ÷ 2 ; rewrite to 6/8 ÷2 = .375
Write the ratio 2/7 over 3/7 in simplest form. Help Please!!! Need answer ASAP
============================================
Work Shown:
[tex]\frac{2}{7} \div \frac{3}{7}\\\\\\\frac{2}{7} \times \frac{7}{3}\\\\\\\frac{2*7}{7*3}\\\\\\\frac{2}{3}\\\\\\[/tex]
When dividing fractions, you flip the second fraction and multiply (step 2).
Note in the last step, the 7's cancel out.
Answer:
2÷3
Step-by-step explanation:
=2÷7×3÷7
= 7 of the denominator will be cancelled
=hence, 2÷3 is the answer
The total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.The cost of each cookie is $0.95.Select the equation and its solution that can be used to determine the cost,x, of 1 doughnut.
The equation for the situation is [tex]5x+6(0.95)=11.95[/tex]
The solution to the equation is [tex]x=1.25[/tex]
First, you must set up the equation.
[tex]5x+6(0.95)=11.95[/tex]
Then, you must simplify the terms.
[tex]5x+5.7=11.95[/tex]
Next, subtract 5.7 on both sides.
[tex]5x=6.25[/tex]
Finally, divide 5 on both sides
[tex]x=1.25[/tex]
The cost of each doughnut is $1.2 and the equation is 5(0.95) + 6x = 11.95 if the total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.The cost of each cookie is $0.95.
The cost of 1 doughnut is x.
Total cost = $11.95
Total cost = 5(0.95) + 6x
11.95 = 5(0.95) + 6x
Or
5(0.95) + 6x = 11.95
After solving
x = $1.2
Thus, the cost of each doughnut is $1.2 and the equation is 5(0.95) + 6x = 11.95 if the total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.
The options are:
6(0.95) + 5x = 11.95
5(0.95) - 6x = 11.95
5(0.95) + 6x = 11.95
5(0.95) + 6(11.95) = x
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1. Anthony's team won the basketball game, scoring seventy-two points.The
other team only scored fifty-five points. Anthony scored 12 of those points, and
the six other players each scored the same number of points.How many points
did each of his teammates score?
The table represents the function f(x)=3x-1.
Answer: y = 3x-1
Step-by-step explanation:
I need help please thankyou
Answer:
12 candy pieces per package.
Step-by-step explanation:
Rate of change is the change in y over the change in x. The change in y based on the plotted points is 12, and the change in x is just 1. So, 12/1=12.
Which of the following numbers is a factor of 55?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
6
(Choice B)
B
3
(Choice C)
C
5
(Choice D)
D
7
Answer:
Choice C: 5
Step-by-step explanation:
55 is a composite number. 55 = 1 x 55 or 5 x 11. Factors of 55: 1, 5, 11, 55. Prime factorization: 55 = 5 x 11 it should be 5 if 11 isn't an option to
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Mathematics Diagnostic Assessment
1
Todd forgot the first two numbers of his locker combination. The numbers can be any number 1 through 6. What is the
probability that he will guess the first number correctly and the second number incorrectly?
OA.
OB.
O C.
கான்
OD.
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Answer: 16.67% for question 1
83.33% for question 2
Step-by-step explanation:
1/6 as a percent is 16.67% because the is only 1 correct number
5/6 as a percent is 83.33% because there is 5 wrong numbers
Answer:
Step-by-step explanation: 1/36
(2/5) x ( - 5/4) Can someone please help me
PLEASE HELP, trying to do this escape room level and i have no clue what to do.
Answer:
6688
Step-by-step explanation:
I think, I hope!
The correct sequence for the numbers that are given will be:
64084608084608468064How to depict the numbers?It can be seen that from the information given, a number has been attached to each diagram. This will be used in answering the questions given.
Therefore, the correct sequence for the numbers are given will be 6408, 4608, 0846, and 8064.
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Simplify 5⁶/5³
A. 5³
B. 5²
C. 1³
D. 1²
Answer:
d
Step-by-step explanation:
Answer:
A. 5^3
Step-by-step explanation:
5^6 = 15625
5^3 = 125
15625/125 = 125
think you could help i don't understand
Answer: it is the alphabet
Checking Your Understanding
Quick
Check
There are 6 boys and 12 girls on a soccer team.
This ratio correctly describes the relationship between boys and girls on the soccer team
Answer:
There are 6 boys and 12 girls on a soccer team.
This ratio correctly describes the relationship between boys and girls on the soccer team:
✔ For every 6 boys, there are 12 girls.
Step-by-step explanation:
Plz mark me as Brainlist
A store sells a package of 25 trading cards for $5.25. Use pencil and paper. Explain how you can tell that the unit price per card is less than $1. What is the unit price per card? PLEASE HELP ME ILL GIVE YOU BRAINLIEST
Answer:
5.25/25=0.21
Step-by-step explanation:
to find this you can do 0.21 times 25 which gets 5.25 so there is your answer
5.25/25=0.21 is the unit price per card.
What is division?Division is the process of splitting a number or an amount into equal parts.
Here, given that,
A store sells a package of 25 trading cards for $5.25.
So, price of per card = 5.25/25
=0.21
(to find this you can do 0.21 times 25 which gets 5.25 )
Hence, 0.21 is the unit price per card.
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You are considering leasing one of two store sites of equal size. The first site features a percentage lease of 5% of sales per month. The second site features a triple net lease with these monthly terms: rent is 4% of sales, insurance is $200, maintenance is $55, utilities total $300, and property tax is $200. Your business plan estimates your monthly sales to average $97,000. Which lease is better for you financially?
Answer:
The Second Site
Step-by-step explanation:
Which is the solution of the quadratic equation (4y - 3)2 = 12?
Answer:
(4y - 3)2 = 72?y3 +/Z and yy=3-6/243+62y=and y=-3 – 6/2440y=9/… ... 12 POINTS!! 2. (2, 0) and (0, 3) The equation for these ordered pairs is ...
1 answer
Step-by-step explanation:
Ella completed the following work to test the equivalence of two expressions.
What conclusion can you draw from Ella’s work?
Answer:D
Step-by-step explanation:
which repersents the slope of a line that is parallel to a line with the slope of -2
Answer:
-2
Step-by-step explanation:
slope is -2 because parallel lines have equal slopes.
Which means "p decreased by 75"?