82
Hope this helps you!
With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the sample is okay. The ABC Electronics Company has just manufactured 2100 write-rewrite CDs, and 60 are defective. If 3 of these CDs are randomly selected for testing, what is the probability that the entire batch will be accepted
Answer:
0.9167 = 91.67% probability that the entire batch will be accepted
Step-by-step explanation:
The CDs are chosen without replacement, which means that the hypergeometric distribution is used.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
2100 write-rewrite CDs, and 60 are defective.
This means, respectively, that [tex]N = 2100, k = 60[/tex]
3 of these CDs are randomly selected for testing
This means that [tex]n = 3[/tex]
What is the probability that the entire batch will be accepted?
Probability of none defective, so P(X = 0).
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,2100,3,60) = \frac{C_{60,0}*C_{2040,3}}{C_{2100,3}} = 0.9167[/tex]
0.9167 = 91.67% probability that the entire batch will be accepted
Jay has 6,200 beads. He is making bracelets with 9 beads each. How many bracelets can he make? How many beads will be left?
Answer: He can make 688 beads, and 8 beads will be left.
Step-by-step explanation:
First, you need to divide 6,200 by 9.
6,200 ÷ 9 = 688 R8.
688 will be the number of bracelets he can make, and the remainder, 8, will be the leftover beads because he doesn't have enough to make another bracelet.
For the labels, it says, "How many bracelets can he make?" and," How many beads will be left?"
The answers will be: 688 bracelets;8beads
Equation : 6,200÷9=x 6,200÷9=688 R8 x=688 bracelets;8 beads
NO LINKS WILL MARK BRAINLIEST
Answer:
5x3=15
6x4=24
24+15=39
Step-by-step explanation:
A is correct i think!
Answer:
39 cm
Step-by-step explanation:
Noah is going to invest in an account paying an interest rate of 3.7% compounded annually. How much would Noah need to invest, to the nearest hundred dollars, for the value of the account to reach $1,110 in 13 years?
Answer:700
Step-by-step explanation:
Suppose the mean income of firms in the industry for a year is 90 million dollars with a standard deviation of 15 million dollars. If incomes for the industry are distributed normally, what is the probability that a randomly selected firm will earn less than 109 million dollars? Round your answer to four decimal places.
Answer:
0.8980 = 89.80% probability that a randomly selected firm will earn less than 109 million dollars
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Distributed normally, mean of 90 million, standard deviation of 15 million.
This means that [tex]\mu = 90, \sigma = 15[/tex]
What is the probability that a randomly selected firm will earn less than 109 million dollars?
This is the pvalue of Z when X = 109. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{109 - 90}{15}[/tex]
[tex]Z = 1.27[/tex]
[tex]Z = 1.27[/tex] has a pvalue of 0.8980
0.8980 = 89.80% probability that a randomly selected firm will earn less than 109 million dollars
Evaluate the expression: 2 ⋅ 6^2 *
Answer:
72
Step-by-step explanation:
First square 6.
6^2=36
Then multiply 26 by 2.
2*36=72
the two the numbers -2.6 and -2.1 are shown on the number line what is the distance between the two points
Answer:
0.5Step-by-step explanation:
The distance between the points will be the difference between the points as shown;
Difference = -2.1 - (-2.6)
Difference = -2.1 + 2.6
Difference = 2.6 - 2.1
Difference = 0.5
Hence the difference between the numbers -2.6 and -2.1 on the number line is 0.5
what is 9 (4x^2 - 3) simplified?
Answer:
144x - 27
Step-by-step explanation:
9 (4x² - 3)
9 (16x - 3)
144x - 27
These are numbers that cannot be written as fractions, numbers with decimals that do not end or repeat. Example: π, 2.345643.....,
Answer:
These types of numbers are commonly referred to as "irrational numbers".
Step-by-step explanation:
If you roll a 6 sided die 12 times what is the best prediction possible for the number of times you will roll a four Hint: Use proportional reasoning
Answer:
the probability would be a 1/3 or a 1/6 chance i think
at which approximate rate in feet per minute did the plane climb to the cruising altitude of 35,000 feet
A cookie jar contains 3 vanilla, 2 chocolate chip, and 7 gingersnap cookies. If one cookie is taken at random from the jar, what is the probability that it will be a vanilla cookie?
Answer:
3/12= 1/4
Step-by-step explanation: because you would add the all up for 12 and you have a 3 vanilla's so 3/12= 1/4
What is the 6th term of (y-3)^8
Sorry if wrong :)
Kebetulan w baru beli stok pulpen :v
Abaikan Abaikan saja
Ganteng Doank ( isi sendiri )
altitudes of right triangle
8 4 pairs of shoes cost $80. What is the cost of 7 pairs of shoes?
Answer: 140
Step-by-step explanation:
Uang Indonesia: Rp 1,155,600
Uang Amerika Serikat= $80
Uang Malaysia= $331.52
Can someone help me with this question pls
Answer:1/6*1/6*1/6=1/216
Step-by-step explanation:
For the rectangular prism, the length is 3 1/2 inches, and the height is 5 1/2 inches.
What is the width?
Show your work or justify your solution.
Answer:
no answer
Step-by-step explanation:
This is because,before finding the width,length,and height of the block, there should be a stated volume,or some other parameters or properties of the prism must be stated, as such the answer cannot be determined
Answer:
thanks
Step-by-step explanation:
Find the solution of the system of equations.
x+3y= −10
9x+9y= −18
Answer:
x = 2, y = -4
Step-by-step explanation:
Answer:
Substitution method answer: x=2, y=-4 (2,-4)
Step-by-step explanation:
please help i d don't know i would really appreciate your help
Answer:
45
Step-by-step explanation:
hello there!
Remember all of the angles in a triangle will add up to equal 180 so to find the missing angle we subtract the given angles from 180
180 - 90 - 45 = 45 so the missing angle would equal 45
Solve the right triangle
Round your answer to the nearest tenth
Answer:
B = 40°
a = 23.0
b = 19.3
Step-by-step explanation:
✔️B = 180° - (90° + 50°) => sum of triangle
B = 40°
✔️Reference angle = 50°
Opp = a
Hypotenuse = 30
Adjacent = b
Find a by applying the trigonometric function, SOH:
Sin 50 = Opp/Hyp
Sin 50 = a/30
30 × Sin 50 = a
23.0 = a
a = 23.0 (nearest tenth)
To find b, apply CAH:
Cos 50 = Adj/Hyp
Cos 50 = b/30
30 × Cos 50 = b
b = 19.3 (nearest tenth)
please help me! no links please!
Answer:
70°
Step-by-step explanation:
hope it helps you
have a great day!!!
Solve for the value of x and y
5y 2x 40
Answer:
x=25 =18
Step-by-step explanation:
Right angle =90°
you are given 40, therefore 2x has to equal up to 50.
2x=50 divide both sides by 2
x=25
straight line=180°
you are given 90, therefore 5y has to equal to 90.
5y=90
divide both sides by 5
y=18
taka is playing a game of darts. she scores 52 points. in the game she is playing, she gets a -3 score each time she misses the board. her final point total is 37. write and solve an equation to find out how many times she missed the board
Answer:
5
Step-by-step explanation:
52-37 is 15 . divide by 3 and u get five
which is not a common multiple of 4 and 9
5 I think.
Step-by-step explanation:
Solve the inequality.
-7/8 < m - 13/8
Answer:
m>3/4
Step-by-step explanation:
Add -13/8 to both sides:
6/8<m
Simplify:
m>3/4
What is 3000×3000 4000
Answer:
I think the answer is 12,0000
Answer:
3000x3000=9,000,000
Step-by-step explanation:
3x3x1,000,000
THIS IS WORTH 100 POINTS!!!!
Answers:
0.68 times 0.921 (less)
29.77 times 5.021 (greater)
0.5 times 0.078 (less)
870 times 1.008 (greater)
0.4 times 1.49 (greater)
Hope this helps and please mark brainliest!
Answer:
yyyyyyyy
Step-by-step explanation:
thx tx htx
Please help me I am in need of help!
Answer:
answer is currents hope this helps
Step-by-step explanation:
A function is shown below.
g(x)=19.60+1.74x
What is the value of g(30)?
Answer:
g(30) = 71.8
Step-by-step explanation:
g(30) = 19.6 + 1.74(30)
The value of the g(30) is 71.8 if the function is g(x) = 19.60 + 1.74x
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
g(x)=19.60+1.74x
Plug x = 30
g(30) = 19.60+1.74(30)
g(30) = 19.60 + 52.2
g(30) = 71.8
Thus, the value of the g(30) is 71.8 if the function is g(x) = 19.60 + 1.74x
Learn more about the function here:
brainly.com/question/5245372
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James m
Lou 2 m
Rob 3 m
Teri 4 m
Shawn 4 m
Skip 3 m
Art 2 m
Jim m
Eight students in a small class made the test scores shown in the table. What was the mean absolute deviation for the class?
A) m
B) 2.5m
C) 4m
D) 8m
Answer:
A) = m
Step-by-step explanation: