Answer:
a) S = {(1,2), (1,3), (1,4), (1,5), (2,3), (2,4), (2,5), (3,4), (3,5), (4,5)}
b) p(x) = 0.3 if x = 0
= 0.6 if x = 1
= 0.1 if x = 2
= 0 otherwise
Step-by-step explanation:
Given - Many manufacturers have quality control programs that include inspection of incoming materials for defects. Suppose a computer manufacturer receives computer boards in lots of five. Two boards are selected from each lot for inspection. We can represent possible outcomes of the selection process by pairs. For example, the pair (1, 2) represents the selection of boards 1 and 2 for inspection.
To find - (a) List the ten different possible outcomes.
(b) Suppose that boards 1 and 2 are the only detective boards in a lot of five. Two boards are to be chosen at random. Define X to be the # of defective boards observed among those inspected. Find the pmf.
Proof -
(a)
Given that there are 5 computer boards
Let,
The Boards are 1, 2, 3, ,4 and 5.
Now,
Total Number of possible ways of selecting 2 boards out of 5 by inspection = ⁵C₂ = [tex]\frac{51}{2! (5-2)!}[/tex] = [tex]\frac{5!}{2! 3!}[/tex] = [tex]\frac{5.4.3!}{2! 3!}[/tex] = [tex]\frac{5.4}{2.1}[/tex] = 10
And the choices be
Choice I -
Boards 1 and Board 2
Choice II -
Board 1 and Board 3
Choice III -
Board 1 and Board 4
Choice IV -
Board 1 and Board 5
Choice V -
Board 2 and Board 3
Choice VI -
Board 2 and Board 4
Choice VII -
Board 2 and Board 5
Choice VIII -
Board 3 and Board 4
Choice IX -
Board 3 and Board 5
Choice X -
Board 4 and Board 5
And
These outcomes becomes
S = {(1,2), (1,3), (1,4), (1,5), (2,3), (2,4), (2,5), (3,4), (3,5), (4,5)}
(b)
Given that, X be the number of defective boards
And there are only two defective boards (Board 1 and Board 2) in the lot
Therefore,
X can be 0, 1, and 2.
Now,
If X = 0
⇒ There is no defective boards
⇒ Possible outcomes be - { (3,4), (3,5), (4,5) }
So,
P(X=0) = [tex]\frac{3}{10}[/tex] = 0.3
Now,
If X = 1
⇒ There is one defective board
⇒ Possible outcomes be - { (1,3), (1,4), (1,5), (2,3), (2,4), (2,5) }
So,
P(X=1) = [tex]\frac{6}{10}[/tex] = 0.6
Now,
If X = 2
⇒ There is two defective boards
⇒ Possible outcomes be - { (1,2) }
So,
P(X=2) = [tex]\frac{1}{10}[/tex] = 0.1
And
P(x) = 0 if x ≠ 0, 1, 2
SO, The pmf be
p(x) = 0.3 if x = 0
= 0.6 if x = 1
= 0.1 if x = 2
= 0 otherwise
In 2005, there were 560 students in the eighth grade class at Maddison Middle School. In 2006, there were 590 students and in 2007 there were 616 students. What is the percent of increase from 2005 to 2007?
Answer:
5.357142857
Step-by-step explanation:
It's your birthday there are 27 kids in your class if each kid eats a maximum of nine cookies how many cookies do you need to bring?
Answer:
the maximum number would be 243 cookies
Step-by-step explanation:
I am confused I got 9.7 but I am not sure? Any help out there.
Answer:
Im not sure If your suppose to calculate the whole area but for FGH Its 9
Step-by-step explanation:
Please help me.
1. Reflect triangle PQR over the y-axis. Then, describe what happened to each of the coordinates.
2. Reflect your new triangle P’Q’R over the x-axis. Describe what happened to each of the coordinates
Answer:
make dot in the 2,2 8,2 and 5,7 and join the dots
Tessa is training for a marthon She ran 13km for 3 days how much meters did she run in all
Answer:
Tessa ran 39,000 meters in all
Step-by-step explanation:
if she ran 13 km a day, she ran 39 km in 3 days. To convert km to meters, you have to multiple the number by 1,000. 39 x 1,000 = 39,000 meters.
The number of eggs in the refrigerator e decreased by 8 equals 17.
Enter an equation to represent the situation.
answer: e - 8 = 17
explanation:
Please help me I love u
Step-by-step explanation:
for a
x = 11
for b
x = - 3
for c
2 + x = - 5
for d
2x - 1 = 7
Hope it will help :)❤
Step-by-step explanation:
for a
x=-33/3=-11
for b
x=12/-4=-3
for c
2+x=-25/5
2+x=-5
for d
2x-1=-42/-6
2x-1=7
Select the correct answer.
Which function is the inverse of f(x) = -x^3 - 9?
Answer:
(2)
Step-by-step explanation:
Let f(x) = y → f-¹(x) = f(y) = x, f(y) is the inverse of f(x)
Thus,
=> -x³ - 9 = y
=> - y - 9 = x³
=> (-y - 9)^(1/3) = x
=> f(y) = x
Inverse is (-y-9)^(1/3)
Replacing the variable, inverse is (-x-9)^(1/3)
Option (2)
In ΔEFG, the measure of ∠G=90°, FG = 15 feet, and GE = 87 feet. Find the measure of ∠F to the nearest degree
Answer:
80
Step-by-step explanation:
delta math
Please answer the question below:
Answer:
A 12 x 6
Step-by-step explanation:
Answer:
hi
Step-by-step explanation:
write an algebratic expression for the are of the rectangle below. PLS HELP DUE IN 10 MIN
Answer:
3(x*-4)
Step-by-step explanation:
Answer:
can I see the rest of the problem?
Step-by-step explanation:
Which equation represents a circle that has a center at and a radius of 5?
what are the options?
1+1a+1-1=1 plssssssssssss telllllllll meeeeeee
Answer:
a=0
Step-by-step explanation:
first, find the coefficient of 1 (doenst have to be written)
1+a+1-1=1
remove the opposites
1+a=1
cancel equal terms
a=0
Use the Distributive Property to solve the equation.
- 3(x + 2) = 18
If you solve you get 50 points so pls help and no links pls
Answer:
x = -8
Step-by-step explanation:
-3x -6 = 18
-3x = 24
x = -8
In the linear equation y = 4x + 2, the value 2 represents which of the following?
A:The slope of the line
B: The y- coordinate of the y-intercept
C: The x-coordinate of the y-intercept
D: The quadrant in which the line lies
Expand (2+x)^3 using binomial theorem
Step-by-step explanation:
= 2³ + x ³ + 3(2)²x + 3(2)x²
= 8 + x³ + 12x + 6x²
= x³ + 6 x² + 12 x + 8
2. After the translation, where Is Alocated?
Write your answer in the space below.
Text
9514 1404 393
Answer:
A'(-3, 13)
Step-by-step explanation:
The transformation that moves a point 4 left and 8 up is ...
(x, y) ⇒ (x -4, y +8)
The transformation that reflects a point across the y-axis is ...
(x, y) ⇒ (-x, y)
Applied after the translation, the transformation of ∆ABC becomes ...
(x, y) ⇒ (-(x -4), y +8) = (4 -x, y +8)
Then point A gets moved to ...
A(7, 5) ⇒ A'(4 -7, 5 +8) = A'(-3, 13)
___
In the attached graph, the purple triangle is the result of the translation 4 left and up 8. Then the blue one is after reflection across the y-axis.
round your answer to two decimal places. x + 1/x+3=3/5
Answer:
X=2
Step-by-step explanation:
Please mark answer as brainliest
15 Points!! need help❤️
Answer:
70 degrees
Step-by-step explanation:
The measure of the central angle equal the measure of the arc it intercepts.
So arc BC is 70 degrees.
what is the value of x?
Step-by-step explanation:
Continuation of the answer
4x=180 degrees
X=180/4=45 degrees.
18 A bank charges a $ 10 fee to open an
account. Which of the following equations
best represents the total amount in the
account, m, when starting with d, dollars?
A. m = d + 10
B. m = d - 10
C. m - 10 = d
D. m + d = 10
The confidence interval based on the two-sample design is wider because there is considerable variation in mileage between the cars. The confidence interval based on the paired design is wider because there is little variation in mileage between the cars. The confidence interval based on the two-sample design is wider because there is little variation in mileage between the cars. The confidence interval based on the paired design is wider because there is considerable variation in mileage between the cars.
Answer:
The confidence interval based on the paired design is wider because there is little variation in mileage between the cars.
Step-by-step explanation:
The sample size randomly collected is matched sample and since the confidence interval is based on the paired design is large and wide. There is small variation between the mileage of the two cars indicating the cars have mileage based on the fuel.
Study figures A and B. Each shows a base and height
labeled. Which figure is correctly labeled?
O Figure A is correctly labeled.
O Figure B is correctly labeled
O Both figures are correctly labeled.
Answer: B
Step-by-step explanation:
Answer:
The Answer is option 2
Step-by-step explanation:
Find the Surface Area. I need the answer fast.
Answer:
1615
Step-by-step explanation:
Area of triangle is: A= B•H•1/2
Area of square is A= L•W
39•17•1/2= 331.5
331.5•4= 1326
17•17= 289
Add the square area to the area of the triangles
289+ 1326= 1615
hope this helps chu <3
Answer:
663
Step-by-step explanation:
Since we are finding the area we multiply Length times Width which is a way of finding formal. L x W so the Length is 17 and Width is 39 so
17 x 39 = 663. So the area is 663
Semira’s puppy weighs 12.4 pounds and is growing at a rate of 0.8 pound per week. Cedric’s puppy weighs 9.2 pounds and is growing at a rate of 1.2 pounds per week. Let x represent the time in weeks and y represent the weight of the puppy in pounds. Which system of equations can Semira and Cedric use to determine after how many weeks their puppies will weigh the same?
{y=0.8x+12.4
{y=1.2x+9.2
{y=12.4x+0.8
{y=9.2x+1.2
{y=0.8x+1.2
{y=12.4x+9.2
{y=1.2x+0.8
{y=9.2x+12.4
Please help me on this
Answer:
(b) 60.21ft^2
Step-by-step explanation:
Given
The attached triangle
Required
Number of square feet materials needed
This simply means that we calculate area;
[tex]Area = 0.5 * base * height[/tex]
[tex]Area = 0.5 * (14ft\ 2in) * (8ft\ 6in)[/tex]
Convert to ft [divide by 12]
[tex]Area = 0.5 * (14+ 2/12) * (8+ 6/12)[/tex]
[tex]Area = 0.5 * (14.17) * (8.5)[/tex]
[tex]Area = 60.23ft^2[/tex]
(B) is correct
solve for b.
1/7= 90/91 +b
♡ The Question ♡
・1/7 = 90/91 + B
Solve for B!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
* ♡ The Answer ♡
・B = -11/13
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
・1/7 = 90/91 + B
Switch sides!
90/91 + B = 1/7
Subtract 90/91 from both sides!
90/91 + B - 90/91 = 1/7 - 90/91
Simplify!
90/91 + B - 90/91 : B
90/91 + B - 90/91
90/91 - 90/91 = 0
= B
Simplify!
1/7 - 90/91 : -11/13
1/7 - 90/91
= 13/91 - 90/91
Combine the fractions!
= 13 - 90 over 91
Subtract the numbers! : 13 - 90 = -77
= -77/91
Apply the fraction rule! : -a/b = -a/b
= -77/91
Cancel the common factor! : 7
= -11/13
B = -11/13
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
*♡ Tips ♡
・No tips provided!
A circular path 2 feet wide has an inner diameter of 250 feet. How much farther is it around the outer edge of the path than around the inner edge? Round to nearest hundredth. Use 3.14 for π. HELP ASAP
Answer: 125
Step-by-step explanation
Answer:
25.12
Step-by-step explanation:
That is the correct answer. Thank you! :)
PLS HELP WILL GIVE BRAINLESS
Answer:
1a. 3/8
1b. 4/12-1/3
Step-by-step explanation:
to get the answers you have to find a common denominator and then add them
Answer:
The answer would be
a) 3/8
b) 1/3
Write an equation in slope-intercept form for the line with slope -3/2 and y -intercept 2 .
Answer:
Y= -3/2x + 2
If the y-intercept was negative it would be y= -3/2-2