5% of items in a large batch of items produced at a local foundry' are defective. If 50 of these items are selected at random, what is the probability that exactly 2 of the items will be defective? Round to four decimal places.

Answers

Answer 1

Answer:

0.2611

Step-by-step explanation:

We have x to be binomially distributed random variable which denotes the items number that are defective

We have been given n = 59 as our sample size

Probability of 5% = probability of success

1-5% = 0.95

We solve using this formula

nCxP^xq^n-x

= 50C2(0.05)²(0.95)^50-2

= 0.2611

This is the probability that exactly 2 would be defective


Related Questions

Questions 7 & 9
For each label the “Extra Congruency Information.” Options- none, reflexive property, or vertical angles. Also label the “Postulate.” Options- SSS, SAS, ASA, AAS, HL, not congruent. (if you need help understanding please comment)

Answers

Answer:hart

Step-by-step explanation:

Given f(x) = 4x+ 7 and g(x) = -3x+ 5 find g (f(-5).
20
44
-1
87

Answers

Answer:

44

....................

Find the value of x and YZ if Y is between X and Z.
XY = 4x, YZ = x, and XZ
25

Answers

Answer:

The value of x is 5

The length of YZ is 5 units

Step-by-step explanation:

If a point lies on a line segment, then it divides it into 2 parts, the sum of their length equals the length of the line segment

Let us use this fact to solve the question

∵ Point Y is between points X and Z

→ By using the fact above

XY + YZ = XZ

∵ XY = 4x and XZ = x

∵ XZ = 25

→ Substitute then in the equation above

4x + x = 25

→ Add the like terms in the left side

∴ 5x = 25

→ Divide both sides by 5 to find x

∵ [tex]\frac{5x}{5}[/tex] = [tex]\frac{25}{5}[/tex]

x = 5

The value of x is 5

∵ YZ = x

∵ x = 5

∴ YZ = 5

The length of YZ is 5 units

Triangle ADE is enlarged to form triangle ABC. What is the scale factor?
6cm,6cm,7cm,7cm,5cm,10cm

Answers

I need this answer to please when you get the answer will you let me know thank you!!

B is between A and C. If AC = 31, AB = x–6, and BC = 2x+10, find the value of x. (Hint: Draw a picture.)

x =

Answers

I think it’s a because it’s better

Karl bought ​3 1/2​ gallons of milk that cost $2.70 per gallon.

What was the total cost of the milk?

Answers

3.5 gallons of milk would cost $9.45

Answer:

The total cost would be $9.45

Step-by-step explanation:

THIS IS 15 POINTS PLEASE
g(x) = -5x – 3
g(-2) = ?

Answers

Substitute (-2) into x
-5(-2) - 3 = 7
Just sub -2 for x and that’s your answer

Jordan invests £700 into his bank account.
He receives 10% per year simple interest
How much will Jordan have after 3 years?
Give your answer to the nearest penny where appropriate

Answers

Answer:

Jordan will have $ 910.00 after 3 years

Step-by-step explanation

A sector of a circle of radius 80 mi has an area of 1600 mi2. Find the central angle (in radians) of the sector.

Answers

Answer:

The central angle of the sector is 0.5 radian

Step-by-step explanation:

given;

radius of the circle, r = 80 mi

area of the sector, A = 1600 mi²

Area of sector is given by;

A = ¹/₂r²θ

where;

θ is the central angle (in radians) of the sector

[tex]\theta = \frac{2A}{r^2}\\\\\theta = \frac{2*1600}{80^2}\\\\ \theta = 0.5 \ radian[/tex]

Therefore, the central angle of the sector is 0.5 radian

The central angle (in radians) of the sector is 28.66 degrees

The formula for calculating the area of a sector is expressed as:

[tex]A = \theta/360 \times \pi r^2[/tex]

Given the following parameters

radius r = 80mi

Area of sector A = 1600mi²

Substitute the given parameters into the formula

1600 = Ф/360 * (3.14)(80)²

1600 * 360 = 20,096Ф

Ф = 576000/20,096

Ф =28.66 degrees

Hence the central angle (in radians) of the sector is 28.66 degrees

Learn more here: https://brainly.com/question/12792310

Please help asap, 10 points

Answers

Answer:

3x^2

................

Let n = 5.

What is the value of the expression 9n2−2−n?

Enter your answer in the box.

Answers

Answer:

9 (5) 2 - 2 - 5 = 83

3
The slope of the line that passes through the points (0,3) and (5, 13) is

Answers

i think the answer is 2

List the first 5 Multipluls of 30

Answers

Answer:

30*1 = 30 - 1st

30*2 = 60 - 2nd

30*3 = 90 - 3rd

30*4 = 120 - 4th

30*5 = 150 - 5th

Above are the first 5 multiples of 30.

Answer:

30,60,90,120,and 150. I hope this helps:)

Step-by-step explanation:

Use the substitution method to solve the system of equations. Enter your
answer as an ordered pair.
x + y = 11
-X = -y-9

Answers

Answer:

Here ya go

Step-by-step explanation:

Examples: 1+2, 1/3+1/4, 2^3 * 2^2

(x+1)(x+2) (Simplify Example), 2x^2+2y a x=5, y=3 (Evaluate Example)

y=x^2+1 (Graph Example), 4x+2=2(x+6) (Solve Example)

PLEASE HELP (must show work) Show all work to factor x4 - 17x2 + 16 completely.

Answers

there i hope this helped

Assume y varies inversely as x. If y = 60 when x = 80, find x when y = -20​

Answers

Answer:

I think the answer is -40

Step-by-step explanation:

what I did was added the -20 +-20

Answer:

x=0

Step-by-step explanation:

so we are going to first subtract by both sides,

x=80       y=60

  -20           -20

------------------------

x=60     y=40

then again,

x= 60 y=40

  - 20    -20

---------------------

x=40 y=20

and again,

x=40 y=20

 -20    -20

-----------------

x=20 y=0

then lastly again,

x=20 y=0

 -20   -20

------------------

x=0   y=-20

ta da, hopefully this is helpful

You are at a restaurant and the check comes to a total of $11. If you want to leave a 17% tip, how much total money should you pay, to the nearest cent?

Answers

Answer: $12.87

Step-by-step explanation:

$11 x .17 = $1.87

$11 + $1.87 = $12.87

Carry out your immediate computations to at least 3 decimal places

Answers

.009 is the best good luck

help me pleaseeeeee​

Answers

Answer:

c

Step-by-step explanation:

Answer:1. D. 12 2/72. B. 22 7/9Hope this helps!!:D

69 or 420? ................​

Answers

Answer:

420 ayeee

Step-by-step explanation:

Answer:

I meeeaaan, both are pretty good numbers ;P

Step-by-step explanation:

Math standard form. help!

Answers

Answer:

y=mx+b is slope-intercept form

Ax+By=C is standard form.

IN y=mx+b, m represents the slope and B represents the y intercept.

To switch from standard form to slope-intercept form all we need to do is get y alone. thats it. By folowing these steps:

-6x+5y=-30

-6x+6x+5y=-30+6x - this cancels the x on the left side of the equation bringing us one step closer to getting y alone

5y=-30+6x

5y / 5=(-30+6x) / 5 -this last step leaves y alone and brings us to slope intercept form.

y=-6+30x

y=30x-6 - i switched the 30x and 6 because y=mx+b not y=b+mx

y=30x-6

SInce m represents the slope and b represents the y itnercept, 30 is the slope and -6 is the y intercept

30=m(slope)

-6=b(y-intercept)

Btw because the slope is 30 it means the line with point like so: / since it has a positive slope.

Hope this helps!

Step-by-step explanation:

Solve "43 -
O a = 3/5
O a = 3/4 .
O a = 4/3
O a = 5/3

Answers

Answer:

the answer to this question is 4/3

Answer:

C 4/3

Step-by-step explanation:

you're welcome <3

Out of 60 people at the movies, 21 are kids. What percent are adults?

Answers

Answer: it is 65 % 39/60=13/20

Step-by-step explanation: because the kids are 21/60 and the adult are 39/60

0
The sum of three numbers is 10 The sum of twice the first number, 3 times the second number, and 4 times the third number is 27 The difference between 6 times
the first number and the second number is 35. Find the three numbers
first number
second number
third number

Answers

Answer:

vjbsvjbavljjvldbsef

Step-by-step explanation:

Which division problem is shown by the model?

Answers

Answer:

Ithink this would be 12/3

Step-by-step explanation:

12 blocks in total grouped into 3 groups.

The division problem shown here is 12 columns divided into a group of  3.

what is a picture model?

Using models, or pictures, can help to visualize and solve math problems. Models can include number blocks, in which a small square equals 1, a long rectangle equals 10, and a large square equals 100.

Given here are 12 columns arranged in 3 square boxes

thus the picture problem must be arranging 12 columns using 3 groups

therefore, 12÷3 = 4 columns

Hence, the division problem is arranging 12 groups in 3 groups of 4 columns in each group.

Learn more about a picture models here:

https://brainly.com/question/28394013

#SPJ2

Find a point on the line and the line's slope. y - 1 = -4/3 (x -4)
point on line:
slope:

Answers

Answer:

[tex]\displaystyle\text{Slope: } -\frac{4}{3}[/tex]

Point (4,1)

Step-by-step explanation:

The Equation of the Line

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

The given line is:

[tex]\displaystyle y-1=-\frac{4}{3}(x-4)[/tex]

If we compare the equation of this line, both the slope and the point through which is passes are clearly identifiable:

Slope:

[tex]\mathbf{\displaystyle -\frac{4}{3}}[/tex]

Point (4,1)

Let F(x) = 4^x
The new fiction g(x) = f(x-1) +3
Write the new equation for g

Answers

oh my fod i’m sorry i wish i could help but i just need to answer someone random, i hope someone answers it soon man

Find the slope of the line
y = 1/4x + 1/3

Thanks!

Answers

The slope would be m=1/4. Hope this helps :)

Answer:

0.0825

Step-by-step explanation:

1/4=0.25

1/3=0.33

Find the sum. 637,391 + 372,088 *

Answers

Answer:

1,009,479

Step-by-step explanation:

dude there 8a some thing called as a CALCULATOR

Solve for the variable.
5t - 3 = 3t + 9
F
t = 6
G
t = 9
H
t = 3
J
t = 8

Answers

Answer:

F. t = 6

Step-by-step explanation

5t - 3 = 3t + 9

add 3t to both sides

2t - 3 = 9

add 3 to both sides

2t = 12

divide both sides by 2

t = 6

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