Three machines turn out all the products in a factory, with the first machine producing 30% of the products, the second machine 20%, and the third machine 50%. The first machine produces defective products 13% of the time, the second machine 9% of the time and the third machine 9% of the time. What is the probability that a non-defective product came from the second machine
Answer:
0.2027 = 20.27% probability that a non-defective product came from the second machine
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Non-defective product.
Event B: From the second machine.
Probability of a non-defective product:
100-13 = 87% of 30%(first machine)
100-9 = 91% of 20%(second machine)
100-9 = 91% of 50%(third machine).
So
[tex]P(A) = 0.87*0.3 + 0.91*0.2 + 0.91*0.5 = 0.898[/tex]
Non-defective and from the second machine:
91% of 20%. So
[tex]P(A \cap B) = 0.91*0.2 = 0.182[/tex]
What is the probability that a non-defective product came from the second machine
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.182}{0.898} = 0.2027[/tex]
0.2027 = 20.27% probability that a non-defective product came from the second machine
4. 3 mm 15 cm name the solid each net will form
Answer:
hi
Step-by-step explanation:
Which situation about Sam's money could be described using the sum of -2.5 and -10?
A. Sam owes his dad $12.50
B. Sam earned $12.50
C. Sam owes his dad $7.50
D. Sam earned $7.50
Answer
C. Sam owes his dad $7.50
Step-by-step explanation:
because none are correct but tat is te closetes one
Craig has 6 bags of candy that weigh pound each. Wendy has 5 bags of candy that weigh pound each.
How does Craig's amount of candy compare to Wendy's amount of candy?
yes
9+3+x-y; use x=6, and y=2
Answer:
If x=6 & y=2 then 9+3+x-y wil be
9+3+6-2
=12+6-3
=18-3
=15
Answer:
Given, x=6 and y=2
so the expression we have 9+3+x-y will become,
9+3+6-2 !
and by adding 9 & 3 we will get,
=12+6-3
Now adding 12 & 6 we get,
=18-3
now by subtracting 3 from 18 we get,
=15
Simplify by dividing (-3/8) -5/9
Answer:
[tex]\frac{-27}{40}[/tex]
Step-by-step explanation:
[tex](\frac{-3}{8})[/tex]÷[tex]\frac{5}{9}[/tex]
[tex]\frac{-3}{8}[/tex]×[tex]\frac{9}{5}[/tex]
[tex]\frac{-27}{40}[/tex]
10 points
Elizabeth was cleaning her purse on Monday. She discovered $4.60 in the bottom of her purse. The coins were only dimes and nickels. She had a total of 49 coins
and solve a system of equations to determine how many of each coin Elizabeth has.
1 Drag ni Drop here or Browse
I
$4.60= 49 coins ( she only had dimes and nickles)
100 dimes= $1.00 times 4 is 400 dimes
12 nickels= .60 cents
all of this will = to $4.60
x + 15 = 28
O A. x= 13
O B. x = 33
O C. x = 43
O D. x = 23
Answer:
A
Step-by-step explanation:
the answer is
x+15=28
x=28-15
x= 13
Answer:
A
Step-by-step explanation:
x+15=28
move 15 to the other side
and change the + to -
x=28-15
x=13
A round pizza was cut into 8 equal pieces. 7 pieces were eaten. What is the angle measure of the piece not eaten?
Answer:
sorry didnt mean to answer
edit: it should be around 45
Find the solution set of the inequality.
5<−5+|3a|
Answer:
5 < -5 + |3a|
<=> 10 < |3a|
<=> 3a > 10 or 3a < -10
<=> a > 10/3 or a < -10/3
2.5d + 7.25 = 1 + 3.75d solve for d
Answer:
5
Step-by-step explanation:
Subtract 1 from both sides. The equation becomes 2.5d + 6.25 = 3.75d
Subtract 2.5d from both sides. The equation becomes 6.25 = 1.25d
Divide 1.25 from both sides. You get 5 = d
The three lengths 3, 10, 7 create a triangle.
Answer:
false
Step-by-step explanation:
I assume this is a true/false question.
The answer would be 'false'.
For 3 segments to make a triangle, each single side must be LESS than the sum of the other two.
Here, that is not the case. The '10' side is not less than 3+7.
In ΔRST, r = 3 cm, s = 8.6 cm and ∠T=105°. Find the length of t, to the nearest 10th of a centimeter.
Answer:9.8
Step-by-step explanation:
I give up on deltamath
Jordan mixed together 9 gal. of Brand A fruit drink and 8 gal. of Brand B fruit drink which contains 48% fruit juice. Find the juice in Brand A If the mixture contained 30% fruit juice.
Answer:
Step-by-step explanation:
You do this by figuring out the amounts of pure fruit juice in all.
Explanation:
Mixture:
17 gal 30% contains:
17
⋅
30
100
=
5.10
gal pure juice
From Brand B:
8 gal 48% contains:
8
⋅
48
100
=
3.84
gal pure juice
So
5.10
−
3.84
=
1.26
gal came from 9 gal of brand A
So the percentage of A is:
1.26
9
⋅
100
=
14
%
pure juice.
Mark brainliest if this answer is correct please
Which figure shows a line segment?
K
D
Step-by-step explanation:
Option c shows line segment because it has no arrow marks
How can you rewrite a^7 using exponent rules?
choose the inequality that represents the following graph
Answer:
its a
Step-by-step explanation:
did it on khan 2021
Help please!! Math problem
Answer:
What are the options?
Step-by-step explanation:
Possible solutions shown of the graph: (0,5) or (4,0)
Annual starting salaries for college graduates with degrees in business administration are generally expected to be between $30,000 and $50,000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. Given the information in the Microsoft Excel Online file below, construct a spreadsheet to determine how large a sample should be taken for each desired margin of error.
Answer:
A. 384.16
B. 2,401
C. 9,604
D. No
Step-by-step explanation:
Calculation to determine how large a sample should be taken for each desired margin of error
First step is to find σ which represent Population Standard deviation
σ=($50,000-$30,000)/4
σ=$20,000/4
σ = 5,000
Now let calculate how large a sample should be taken for each desired margin of error
Using this formula
n = (Za/2*σ/E)^2
Where,
Za/2=1-0.95/2
Za/2=0.05/2
Za/2=0.025
Z-score 0.025=1.96
Za/2=1.96
σ =5,000
E represent Desired margin of error
Let plug in the formula
a. $500
n = (1.96* 5,000/$500)^2
n=(9,800/$500)^2
n=(19.6)^2
n = 384.16
b. $200
n = (1.96*5,000/200)^2
n=(9,800/$200)^2
n=(49)^2
n = 2,401
c. $100
n = (1.96*5,000/$100)^2
n=(9,800/$100)^2
n=(98)^2
n = 9,604
Therefore how large a sample should be taken for each desired margin of error will be :
A. $500= 384.16
B. $200= 2,401
C. $100= 9,604
d.NO, Based on the information calculation i would NOT recommend trying to obtain the $100 margin of error reason been that it is highly costly compare to $500 margin of error and $200 margin of error.
Rewrite
1 2/3 (one and two thirds) using fifteenths.
Which of the following fractions is smaller than
1/2
the answer is C: 3/7
you drive a car 45 miles at spd r (mph). on return trip, spd is 3/4 r. the round trip took 1 hr 45 min. find avg speed
Answer:
the agv speed is 223
Step-by-step explanation:
Answer:
51.42 avg mph
Step-by-step explanation:
45+45 = 90 miles total for 1 3/4 hours
90/.75 = 51.42 avg mph
hey i need help!!!!!!
Answer:2.10%
Step-by-step explanation:
2 is the whole number with 1/10 being also = to 10/100s
The diagram shows a right-angled triangle.
15 cm
hcm
31
What is the value of h?
Give your answer correct to 1 decimal place.
The diagram is missing, so i have attached it.
Answer:
h = 7.7 cm
Step-by-step explanation:
From the attached image, we can see that the hypotenuse is 15 cm with the opposite side being h cm.
The angle is 31°
Thus, using trigonometric ratio, we have;
h/15 = sin 31
h = 15 sin 31
h = 15 × 0.5150
h = 7.725
Approximating to 1 decimal place gives;
h = 7.7 cm
Leslie has a watering can that holds 3 liters of water. She uses 250 milliliters of water on each of her plants. How many plants can she water? Enter your answer in the box.
Answer:
12
Step-by-step explanation:
1,000 milliliters in a liter. 3 liters, so divide 3,000 by 250, which will give you 12. she can water 12 plants.
Step-by-step explanation:
Lester can water 12 plants because there is 1000 milliliters in one liter so if we do 1000x3=3000÷250=12 plants being able to get watered
The width of the rectangle is 20% of its length. What is the area of the rectangle?
it's 60 ft btw
Answer:it is 60
Step-by-step explanation:
helpppppppppppppppppppppppppppp
Hi the answer should be 4
What is the domain of the function
Answer:
it will be the first one
Step-by-step explanation:
find the value of x
a. 5
b. 11
c. 7
d. 3
please help PLEASE HELP!!!!!!!!!!!!!!! I AM SUPER DESPARATE I NEED MUCH MUCH MUCH HELP
Answer:
8.v = r 2 πh 3
Step-by-step explanation: