Contamination problems in semiconductor manufacturing can result in a functional defect, a minor defect, or no defect in the final product. Suppose that, 20, 50 and 30% of the contamination problems result functional, minor and no defects respectively. Assume that the effects of 10 contamination problems are independent. Round your answers to four decimal places (e.g. 98.7654). (a) What is the probability that the 10 contamination problems result in two functional defects and five minor defects
Answer:
The answer is "[tex]8.5\times 10^{-9}[/tex]".
Step-by-step explanation:
Following are the calculation of the multinomial distribution probability:
[tex]\to (\frac{10!}{(2! \times 5! \times 3!)})\times(0.2)^2 \times(0.5)^5 \times (0.3)^3 \\\\ \to (\frac{10!}{(2! \times 5! \times 3!)})\times 0.04 \times 0.03125 \times 0.027\\\\ \to (\frac{10\times9\times8 \times7 \times6 \times5! }{(2! \times 5! \times 3!)})\times 3.37 \times 10^{-5}\\\\ \to (\frac{10\times9\times8 \times7 \times6 }{(2 \times 1 \times 3 \times 2 \times 1 )})\times 3.37 \times 10^{-5}\\\\[/tex]
[tex]\to (\frac{10\times9\times8 \times7 }{(2)})\times 3.37 \times 10^{-5}\\\\ \to (5 \times 9 \times 8 \times 7 )\times 3.37 \times 10^{-5}\\\\ \to 45 \times 56 \times 3.37 \times 10^{-5}\\\\ \to 45 \times 56 \times 3.37 \times 10^{-5}\\\\ \to 2520 \times 3.37 \times 10^{-5}\\\\\to 8492.4 \times 10^{-5}\\\\\to 8.4924\times 10^{-9}\\\\ \to 8.5\times 10^{-9}[/tex]
A ranch hand herded his cattle to some grazing land. Then he began riding back to the ranch,
which is due west, at 7 miles per hour. Simultaneously, the cows began moving away from
him, too, headed due east at 3 miles per hour. How long did it take for the herd and the
ranch hand to be 2 miles apart? (Please help me !!)
Answer:
1/5 hr or 12 min
Step-by-step explanation:
We are going to use the formula D = RT
Let t = the time for them to be 2 mi. apart
Then 7t = the distance the ranch hand traveled
and 3t = the distance the cows traveled
Since they traveled in opposite directions, the sum of their distances will give us how far they are apart.
So, 7t + 3t = 2
10t = 2
t = 2/10 = 1/5 hr. = 12 min.
what would be the answer too 900ft2+ 144ft2???
Answer: 1044ft
Step-by-step explanation:
900ft2 + 144ft2
= 1044ft2 (square root)
1044ft
hope this helps :))
The basketball coach spent $35 on 5 t shirts for his team last season. This season, he needs to purchase 7 t shirts. If he pays the same rate as last year, how much will the t shirts cost?
Answer:
5 dollars
Step-by-step explanation:
last year he got 5 they were 7 dollars because 7x5 is 35 so do the same thing to do other it also equals 35
Pls help with math ASAP due tonight
Answer:
The equation of the line is y=-1/2x-3.5
Step-by-step explanation:
Given the two points on the line, (1, -4) and (3, -5), find the slope of the line with the equation [tex]m=\frac{y2-x2}{y1-x1}[/tex].
[tex]m=\frac{-5-(-4)}{3-1} =\frac{-5+4}{3-1} =\frac{-1}{2}[/tex]
After you find the slope of the line, substitute x and y with either point given to you. For me, I'll use point (1, -4) to solve for the y-intercept.
[tex]-4=\frac{-1}{2} (1)+b[/tex]
[tex]\frac{1}{2} -4=\frac{-1}{2} +\frac{1}{2} +b[/tex] add both sides by 1/2 so that b is alone
[tex]\frac{-7}{2} =b[/tex]
You can rewrite -7/2 as -3.5.
a school is having a competition to see who can read the most books in one month (30 days). In the first 5 days, Jake reads 4 books. Meanwhile, Amy reads 5 books over 6 days. If they continue at these rates, who will win? By how many books?
Answer:
Amy will winStep-by-step explanation:
Jake
4 books ⇔ 5 days
x books ⇔ 30 days
5x = 4*30x = 120/5x = 24 booksAmy
5 books ⇔ 6 days
x books ⇔ 30 days
6x = 5*30x = 150/6x = 25 booksAmy will win by 25 - 24 = 1 book
need help for geometry question
Answer:
Step-by-step explanation:
sin^-1 (21/67) = 18.27 degrees
√(67)^2 - (21)^2 = 63.62
Can someone help me? I’ll reward points + brainalist
Answer:
your answer is c
Step-by-step explanation:
Solve for x
x^2+ 6x + 9 = 12
Answer:
x=−3+2√3 or x=−3−2√3
Step-by-step explanation:
GIVING BRAINLIST
Percents to decimals.
What is 3.22 changing it to a decimal
Answer:
if it is 3.22% then the answer is 0.0322
3.22 ÷ 100 = 0.0322
hope this answer will help you
have a great time
Answer:
0.0322
Step-by-step explanation:
Alex needs 36 boxes in the carton above.
Answer:
1 stack of 36
Step-by-step explanation:
First find how much one carton can hold
length is 45
width is 20
height is 40
40 * 20 * 45 = 36,000
Then find how much volume each box has
length is 20
width is 10
height is 5
5 * 10 * 20 = 1000
so each box is 1000 volume
1 stack of 36 is good
Jasmine began completing the table below to represent a particular linear function.
a. Complete the table and find the rate of change for the function
Rate of change:
b. Create a graph and write an equation to represent this function
Answer:
Step-by-step explanation:
Rate of change = Slope of line
Use the coordinates of two points to find the slope of the line.
Slope of line through (2,5) and (0,1) = (5-1)/(2-0) = 2
(0,1) is a point on the line, so the y-intercept is 1.
Slope-intercept equation of the line: y = 2x+1
Use the equation to fill in the rest of the table:
x = -2, y = -3
x = ½, y = 2
x = 1, y = 3
x = 3, y = 7
Is 4 to 7 the same as 7 to 4? Explain why or why not.
Answer:
In math, 4 to 7 = 4/7and 7 to 4 = 7/4so they are NOT equal.
Step-by-step explanation:
Explain why the absolute value function y = |x| is an example of a piecewise function
what does the 50th term of this arithmetic sequence: 29,32,35,38
Answer:
176
Step-by-step explanation:
First term (a) = 29
Common difference (d) = 32 - 29 = 3
For calculating the 50th term , n = 50
Now
[tex]t_{50} = a + ( n - 1) d\\t_{50} = 29 + ( 50 - 1 ) *3\\ t_{50} = 29 + 147\\t_{50} = 176[/tex]
hope it will help :)
What is the area of the composite figure?
3 cm
7 cm
7 cm
o 54.25 cm2
o 49 cm?
70 cm
o 59.5 cm?
Answer: (D) 59.5
Step-by-step explanation:
Cos Milky said it. Trust Milky. Milky Smart.
Solve for X round to 2 decimal place
Answer:
55.93°
Step-by-step explanation:
In this problem, we need to find the cos ratio of x, the ratio of the adjacent side of x to the hypotenuse.
The adjacent side of x is 14 and the hypotenuse is 25.
cos x=14/25=0.56=cos 55.93°
what is 3.405 written in expanded form
I need help with this problem
The answer to the equation is 15
what is the answer (31-19)×2+10
Determine the domain and range of each graph use inequalities to write your answer.
Answer: Domain is all real numbers. And the range is [ − 4 , ∞ ) ,
{ y | y ≥ − 4 }
Step-by-step explanation:
Answer:
Domain: R Range: y≥-4
Step-by-step explanation:
A high school drama department sold 238 tickets for their performance.
o An adult ticket cost $6.75.
o A student ticket cost $3.50.
o The high school drama department collected $1,252.25 in ticket sales.
How many student tickets were sold?
Answer:
$6.75 + $3.50 = X
X ÷ $1,252.25
Step-by-step explanation:
$6.75 + $3.50 = $10.25
$10.25 ÷ $1,252.25 = 0.00818526652
PLEASE PLEASE HELP!!!
These tables of values represent continuous functions. In which table do the
values represent an exponential function?
Insert brackets to make this statement true: 16 - 10 x 4 +2 = 36
Answer:
{16-10}{4+2}=36 For me, I use parenthesis () instead: (16-10)(4+2)=36
Step-by-step explanation:
With parenthesis, you don't have to put the multiply sign between the 2: (16-10) x (4+2) --> (16-10)(4+2).
Given: AB=BC,AM=MC
BM IAC , EF I BC
EC
FC
Prove:
AB
MA
B
F
с
A
EM
Answer:
AB=BC,AM=MC
BM IAC , EF I BC
Step-by-step explanation:
AB
MA
B
F
с
A
Darnell rented a moving truck, the weight of the truck was 7,860 pounds but the truck is empty, nothing is in there. When he puts the items of his own in the truck, it weighs 6 tons. What was the weight in pounds of the item that Darnell placed in the truck?
Answer:
The item weighed 4140 pounds.
Step-by-step explanation:
1 ton = 2000pounds, 6 tons=12000pounds.
12000-7860=4140pounds.
Katrina bought a total of 18 donuts and cookies at the South Lyon Bakery and spent a total of $10.50. If each donut cost $0.75 and each cookie cost $0.50, how many of each did she buy? Define the variables Equations Solution
LMNP is rotated 90 degrees clockwise around the origin.
What are the coordinates of P’?
A. P’ (9,0)
B. P’ (0,-9)
C. P’ (-9, 0)
D. P’ (0,9)
Answer:
B
Step-by-step explanation:
The new position of point P (h, k) will become P’ (k, -h).
Answer:
The answer above me is INORRECT!!! Look below!!!
Step-by-step explanation:
Solve for x.
3
24
Will mark brainliest
Heather is a software saleswoman. her base salary is 1900, and she makes an additional $40 for every copy of math is fun she sells.
let P represent her total pay (in dollars) and N represent the number of copies of math is fun she sells. write and equation relating P to N and use this equation to find her total pay if she sells 27 copies of math is fun.
Answer:
[tex]P = 1900 + 40N[/tex]
[tex]P = 2980[/tex] when N = 27
Step-by-step explanation:
Given
[tex]Base\ Salary = 1900[/tex]
[tex]Additional = 40[/tex] per copy
Solving (a): Her total pay (P)
This is represented by:
[tex]P = Base\ Salary + Additional * N[/tex]
[tex]P = 1900 + 40 * N[/tex]
[tex]P = 1900 + 40N[/tex]
Solving (b): Total pay when N = 27
Substitute 27 for N
[tex]P = 1900 + 40 * 27[/tex]
[tex]P = 1900 + 1080[/tex]
[tex]P = 2980[/tex]