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
A triangle has sides with lengths of 7 yards, 8 yards, and 9 yards. Is it a
right triangle?
Answer:
No, it is not a right triangle.
Step-by-step explanation:
A right triangle will follow the Pythagorean Theorem: a² + b² = c²
c is the hypotenuse, or the longest side. In this case, it is 9.
That means a and b are 7 and 8.
Now let's plug in the values to see if they simplify correctly.
(7)² + (8)² = (9)²
Simplify the exponents.
49 + 64 = 81
Add the left side.
113 = 81
The above expression is not true; therefore, this triangle is not a right triangle.
I’m so confused, how do I do this?
Answer:
x = 14
Step-by-step explanation:
These angles are vertical each other, another way of saying they are opposite each other in an X. Since these angles are vertical, they are equal!
60 = 5x - 10 | Given, from here on is basic algebra
70 = 5x | Add 10 to both sides
14 = x | Divide both sides by 5
Michael works 30 hours per week and makes $15.00 per hour. How much does he make in a 4-week month?
Answer:
$1,800
Step-by-step explanation:
If Michael works 30 hours a week for $15 an hour we can use the equation:
15 x 30 = 450.
Now just multiply the given answer by 4 and you're left with:
450 x 4 = 1800.
How is the graph solution of 2x>10 different from the graph of the solution of 2x=10 ?
Answer:
the first one means that any number bigger than 5 whereas 2x=10 means that x can either be a positive or a negative value
Step-by-step explanation:
a square flower garden in Samantha's backyard has an area of 100 square feet how much fencing will she need to enclose the flower garden
Answer:
perimeter = 40 feet
Step-by-step explanation:
side^2 = 100
side = 10
perimeter = 10 x 4 =40
What is the slope of a line perpendicular to the line whose equation is: -2x+y=-7?
Pls help extra points and mark brainlist
Answer:
2 terms
8 and 4c
Step-by-step explanation:
Answer:
2 terms
Step-by-step explanation:
8 & 4c
I need help please. Show your steps
Answer:
i dont know how anyone could answer this lol you're f u ck ed
Step-by-step explanation:
1. Daniel rolls a 6-sided number cube 36 times. How many times should he expect to roll a 4?
A 9
B 4
C 6
D 10
Help me i will give best answer to correct answer.
Answer:
x=3 and y=3
Step-by-step explanation:
The fractions and decimals in order from least to greatest 7/48 0.5 0.75 9/16
Answer:
7/48,0.5,9/16,0.75
Step-by-step explanation:
Hope this helps
What is x when 44x=78
Answer:
≈ 1.77
Step-by-step explanation:
So we are looking for x in 44(x) = 78.
All we have to do is isolate the variable, get x by itself.
Divide 44 by both sides :
[tex]\frac{44x}{44} = \frac{78}{44}[/tex]
[tex]x = 1.772727272723[/tex]
Which can be rounded to ≈ 1.77
Please best awnswer gets brainliest
Answer: he was a stranger or a hunter
Step-by-step explanation: I think this because it says that they covered him with their muskets and muskets are obviously kind of gun, so it had to be a stranger or hunter. hope this helped if not sorry
In horse racing, a trifecta is a type of bet. To win a trifecta bet, you need to specify the horses that finish in the top three spots in the exact order in which they finish. If eight horses enter the race, how many different ways can they finish in the top three spots
Answer: 336 different ways
Step-by-step explanation:
Ok, we have a total of 8 horses, and we have 3 places.
First, second, third.
The total number of combinations will be equal to the product of the number of possible options that we have in each place.
For the first place, we could have any of the 8 horses, so there are 8 possible options.
For the second place, we will have 7 horses (because one is already in the first place) then here we have 7 options.
For the third place, we will have 6 horses (because one is in the first place and another is in second place) then here we have 6 options.
The total number of different ways in which the horses can finish is:
C = 8*7*6 = 336 different ways
A letter home to the parents of seniors at Westgate High School says, "a simple random sample of 30 Westgate seniors that took the SAT-M test this year produced a mean of 512 and a standard deviation of 95. A confidence interval for the true mean for all WHS seniors is 512.00 ± 47.8." The confidence level for this interval is Group of answer choices
Answer:
It's 99%
Step-by-step explanation:
It just is.
A confidence interval for the true mean for all WHS seniors is 512.00 ± 47.8." The confidence level for this interval is 99%. The correct option is D.
What is the percentage?The percentage is defined as "out of 100." Similar to fractions and decimals, percentages are used in mathematics to represent subsets of a whole. When expressing a sum as a percentage, 100 equal components are regarded to make up the whole.
A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Divide the amount by the total value to get the percentage, then multiply the resulting number by 100.
Since one percent (symbolized as 1%) is equal to one-hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
Therefore, the correct option is D, 99%.
To learn more about percentages, refer to the link:
https://brainly.com/question/28269290
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The question is incomplete. Your most probably complete question is given below:
90%
92%
95%
99%
over 99.9%
Mr. Kershner is a school nurse. He uses, on average, 24 self-adhesive bandages during each spring month: March, April, and May. He also knows that in June there are several field days and he will need 4 times the number of bandages for that month.
If the bandages cost 3 cents each, what is his total cost for March through June?
If the bandages cost 3 cents each, Mr. Kershner's total cost for bandages from March through June is $5.04.
What is an arithmetic operation?
Arithmetic operations is a branch of mathematics, that involves the study of numbers, the operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication, and Division.
The number of bandages used by Mr. Kershner in March, April, and May is 24 bandages each month, for a total of 24 x 3 = 72 bandages for those three months.
In June, he will need four times as many bandages as in the other months, for a total of 4 x 24 = 96 bandages.
The total number of bandages used from March through June is 72 + 96 = 168 bandages.
The cost of each bandage is 3 cents, so the total cost for 168 bandages is 168 x 3 = 504 cents, or $5.04.
Therefore, Mr. Kershner's total cost for bandages from March through June is $5.04.
To learn more about the arithmetic operation visit,
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Can you help me on question nine?!
Answer:
B
Step-by-step explanation:
Unit rate means out of 1.
The one with 1 on the bottom is the unit rate
B
Please help me i don’t have much time left please
Can you help me solve this on plzz
Answer:
don't know what to help you with you are smart enough to know
7.5 - 3.2 + 4³ ÷ 2
I NEED HELP PLIS :(
Answer:
36.3
Step-by-step explanation:
Answer:
36.3
Step-by-step explanation:
Step 1: 7.5-3.2+2⁶÷2
Step 2: 7.5-3.2+2⁵
Step 3: 7.5-3.2+32
Step 4: 7.5-3.2+32
24 students took in a class took an algebra test. If 18/students passed the test, what percent passed?
Answer:
75%
Step-by-step explanation:
18 divided by 24 equals 0.75 and then you multiply that by 100 and you get 75 so its 75%
how do you expand (8+x) (9+x)
Answer:
x²+17x+72
Have a great day :)
X an y are proportional. What is the missing value in the table
Answer:
X+y
Step-by-step explanation:
Help please! Thank you!!
Answer:
alternate exterior angle is answer
Answer:
Angle 2 and angle 8 are alternative exterior angles
Of people who died in the United States in recent years, 86% were white, 12% were black, and 2% were Asian. (This ignores a small number of deaths among other races.) Diabetes caused 2.8% of deaths among whites, 4.4% among blacks, and 3.5% among Asians. The probability that a randomly chosen death is a white person who died of diabetes is about:____
Answer:
The probability that a randomly chosen death is a white person who died of diabetes is of 0.0241 = 2.41%.
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: The person is white
Event B: Died of diabeters.
Of people who died in the United States in recent years, 86% were white
This means that [tex]P(A) = 0.86[/tex]
Diabetes caused 2.8% of deaths among whites
This means that [tex]P(B|A) = 0.028[/tex]
The probability that a randomly chosen death is a white person who died of diabetes is about:
This is [tex]P(A \cap B)[/tex]. So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = P(B|A)*P(A) = 0.028*0.86 = 0.0241[/tex]
The probability that a randomly chosen death is a white person who died of diabetes is of 0.0241 = 2.41%.
A circus show started at 6:15 p.m and ended at 9:30 p.m. What was the duration of the show?
Find the values of x and y.
Answer:
x = 67
y = 169
Step-by-step explanation:
We know that (x-1) + 52 + (y-7) = 180 because they're all on the same straight line. We also know that x-1 = 66, because they are alternate interior angles.
Solve for x:
x-1 = 66
x = 67
Now solve for y:
(67-1) + 52 + (y-7) = 180
y = 169
What is the equation of the given line? (-4,3) (2,-3)
Answer:
y=-x-1
Step-by-step explanation:
twice the sum of a number and six is sixty
Answer:26
Step-by-step explanation:60 minus 6, equals 52. you need to do 60-6 to get the twice the sum of a number. divide 52 by 2, since its twice the sum of a number. 52 divided by 2 is 26. you can check your answer by doing 26 times 2 plus 6, and get 60.
$750 loan 7% a year three years of no payments how much interest are you paying?
Answer:
$157.50
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year,
then, solving our equation
I = 750 × 0.07 × 3 = 157.5
I = $ 157.50
The simple interest accumulated
on a principal of $ 750.00
at a rate of 7% per year
for 3 years is $ 157.50.