The probability that an egg on a production line is cracked is 0.01. Two eggs are selected at random from the production line. Find the probability that exactly one of the eggs is cracked. Write the entire decimal answer.

Answers

Answer 1

Answer:

Probability that exactly one of the eggs is cracked is 0.0198.

Step-by-step explanation:

We are given that the probability that an egg on a production line is cracked is 0.01.

Two eggs are selected at random from the production line.

The above situation can be represented through binomial distribution;

[tex]P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,.......[/tex]

where, n = number trials (samples) taken = 2 eggs

           r = number of success = exactly one

           p = probability of success which in our question is probability that

                 an egg on a production line is cracked i.e; p = 0.01

Let X = Number of eggs on a production line that is cracked

So, X ~ Binom(n = 2, p = 0.01)

Now, probability that exactly one of the eggs is cracked is given by = P(X = 1)

                P(X = 1)  =  [tex]\binom{2}{1} \times 0.01^{1} \times (1-0.01)^{2-1}[/tex]

                               =  [tex]2 \times 0.01 \times (0.99)^{1}[/tex]

                               =  0.0198

Therefore, the probability that exactly one of the eggs is cracked is 0.0198.


Related Questions

How should the decimal point in 948.921 change to get the correct answer to 948.921 ÷ 10 to the power of 4?

move it 4 places to the left

move it 4 places to the right

move it 5 places to the left

move it 5 places to the right

Answers

Answer:

move it 4 places to the left

Step-by-step explanation:

10 to 4th power is basically 10000 so 948.921 divided by 10000 so its obvious it will not move to the right, making the number bigger.

Move it 4 places to the left

Find the radius of a circle with area equal to 153.86 square feet.
R = ?

Answers

Answer:

7 feet

Step-by-step explanation:

The area of a circle can be found using:

a=3.14*r^2

We know that the area is 153.86 square feet, so we can substitute 153.86 in for a.

153.86=3.14*r^2

Now, we have to solve for r. To do this, we need to get r by itself. First, divide both sides by 3.14

153.86/3.14=3.14*r^2/3.14

153.86/3.14=r^2

49=r^2

Now, r is being squared. The opposite of squared is the square root. So, take the square root of both sides .

√49=√r^2

√49=r

7=r

The radius is 7 feet

The radius of the circle with an area of 153.86 square feet is approximately 7 feet.

How to determine the radius of a circle with area equal to 153.86 square feet.

To find the radius of a circle given its area, you can use the formula:

Area = π * r^2

In this case, we are given the area as 153.86 square feet.

153.86 = π * r^2

To solve for the radius (r), we need to isolate it. Divide both sides of the equation by π:

153.86 / π = r^2

Now, take the square root of both sides to find r:

r = √(153.86 / π)

Using a calculator or approximating the value of π as 3.14, we can calculate:

r ≈ √(153.86 / 3.14) ≈ √49.0401 ≈ 7

Therefore, the radius of the circle with an area of 153.86 square feet is approximately 7 feet.

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YO Gang i need yo help pleaseeeeee!!
1. What is 5/6 of an hour?
2. What is 2/3 of an hour?
3. What is 0.25 of an hour?

Answers

5/6: 50 minutes
2/3: 40 minutes
0.25: 15 minutes

Answer:

5/6 of an hour is 50 minutes.

2/3 of an hour is 40 minutes.

0.25 of an hour is 15 minutes.

What is the set of all x values called? *

Answers

The domain of a relation is the set of all the x-terms of the relation.

If an x-term appears twice in a relation, only list in once in the domain.

Domain

All the values that can go into a relation or function (input) are called domains

The range is the set of all second elements of ordered pairs (y-coordinates)

Red box weighs 50 pounds, blue box weighs 60 pounds, and yellow box weighs 115 pounds. What is the average weight in pounds?

Answers

the answer is 75 because 50+60+115=225 divided by 3 is 75

Answer: 75

Step-by-step explanation:

Add the three factors and divide by three.

Number five Please I really need it

Answers

I think the answer is y=6x

Determine the volume of the oblique cylinder. Use 3.14 for
π. Round your answer to the nearest tenth. Show all of your work.

Answers

Answer:

602.88 in ^ 3

Step-by-step explanation:

To calculate the volume of a cylinder, is the multiplication of the base area by the height the formula is as follows:

Vc = pi * (r ^ 2) * h

we have the necessary data, the radius equals 4 inches and the height equals 12 inches, replacing:

Vc = 3.14 * (4 ^ 2) * 12

Vc = 602.88 in ^ 3

that is, the volume of the oblique cylinder is 602.88 cubic inches

Answer:

The volume is 602.9in³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cylinder

To find the volume of the oblique cylinder we use the formula for the volume of a cylinder

V= πr²h

Given data

Radius r = 4in

Height h= 12in

Substituting our given data we have V= πr²h

V=3.14*(4)²*12

V= 3.14*16*12

V= 602.88in³

To the nearest tenth

V= 602.9in³

Ben needs to mix 1.5 cups of lemonade concentrate with 4 cups or water to make lemonade. He has 6 cups of concentrate. How much water does he need?

Answers

Answer:

24

Step-by-step explanation:

To get your answer, you need to multiply 1.5 and 6.

1.5 x 6 = 9

Then you multiply 4 and 6.

4 x 6 = 24

Which is your final answer.

I hope this helps you! Good Luck!

What is the measure of an angle whose sine is√3/2 ? 60 45 30
please I need entire explanation, and how do I use my calculator to fin the answer.

Answers

Answer:

60

Step-by-step explanation:

sin(theta) = sqrt(3)/2

On the calculator:

Press shift

Press sin

(It will show sin^-1)

Then enter sqrt(3)/2

Press =

It will give you an output of 60

Step-by-step explanation:

Step 1:  Find the answer

To find sine, that means we need to find the y-value where it equals √3/2.

If you know the unit circle, you know that the long side is √3/2 and the short side is 1/2.  So... in order to have the long side to be a y-value, that means that we need to have a long vertical triangle.  The angle that will fit this will be 60 degrees.

On you calculator, you should have a sin and you just type in something like this:  sin(60) and it should give you √3/2.

Answer:  Option A, 60


Enter the value of the exponential expression 5^0

Answers

Answer:

1

Step-by-step explanation:

whenever something is to the power of 0, it equals 1

The value of the exponential expression of 5^0 is 1

For each statement determine if it is True or False for the graph of 6x – 3y = 21.

The x-intercept is 3 1/2.

A).Yes B).No

The y-intercept is -7.

А). Yes B). No

The slope is 3.

A). Yes B). No

Answers

Answer:

1. Yes, the x-intercept is 3 1/2

2. Yes, the y-intercept is -7

3. No, the slope is 2

Explanation:

6x -3y = 21

-3y = -6x + 21

y = 2x - 7

Can you please help me

Answers

Answer:

B 6/13 times 5/12 equals 5/26

Step-by-step explanation:

if the total marbles are 13, then 13 has to be the denominator

they said that 2 orange marbles are selected

then it is 6/13 times 5/13

Hopes this helps

Answer:

I think it is C

Step-by-step explanation:

I am right

Write the word sentence as an equation. Then solve.


The difference between a number p

and 6 is −14.

Answers

Answer:

p - 6  = -14

p = -8

If someone confuses the order,  p might be 20,  But here I am going to choose p= -8

Step-by-step explanation:

The difference between a number p

and 6 is −14.

The difference between a number p and 6  =  -14

I replace "is" with an equal sign

p - 6  = -14

so

p = 6 - 14

p = -8

it can be confused as  6 - p = -14,    p = 20

Answer:

The difference between a number p

and 6 is −14.

The difference between a number p and 6  =  -14

I replace "is" with an equal sign

p - 6  = -14

so

p = 6 - 14

p = -8

it can be confused as  6 - p = -14,    p = 20

Step-by-step explanation:

Hello! I really need help with this problem!

Answers

Answer: No, yes, yes, no, yes, no, yes

Step-by-step explanation: When you graph the two functions together you can determine the verity of the differnt statements and the relation between the functions such as when and where they will collide, x and y intercepts, etc

Answer:

e

Step-by-step explanation:

Rate the following bank accounts from most to least liquid: CD, savings account, checking account, money market account.
a CD, savings account, checking account, money market account
b. Savings account, checking account, CD, money market account
C. CD, money market account, savings account, checking account
d. Checking account, savings account, money market account, CD
Please select the best answer from the choices provided
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

d

Step-by-step explanation:

Answer:

d.  Checking account, savings account, money market account, CD

HIGH POINT QUESTION

A shape is rotated 180 degrees about the origin and then its image is reflected in the Y-axis. Describe fully the single transformation that would have the same result as the two transformations described above.

Answers

Answer:

Reflection in the x-axis

Step-by-step explanation:

If the point (x, y) of the shape is rotated 180° about the origin, it will be transformed into the point (-x, -y).

If the point (-x, -y) is reflected in the Y-axis, it will be transformed into the point (x, -y). This transformation is equivalent to the reflection of (x, y) in the x-axis.

Drag each tile to the correct box. Not all tiles will be used.
Calculate the interest earned on each simple interest account given the original principal, annual interest rate, and length of time the account
was held. Match each amount to the corresponding account description.
$124.74
$99.66
$105.60
$126.72
$143.50
$106.60
$1,100 at 3.2% for 3 years
$990 at 3.15% for 4 years
$1,025 at 2.8% for 5 years​

Answers

Answer:

$1,100 at 3.2% for 3 years -> $105.60

$990 at 3.15% for 4 years  -> $124.74

$1,025 at 2.8% for 5 years​ -> $143.5

Step-by-step explanation:

Simple interest formula is:

A = P*(1 + r*t)

where A if final account, P is principal, r is annual interest rate (as decimal) and t is time in years

Interest earned is A - P, then:

I = P*(1 + r*t) - P = P(1 + r*t - 1) = P*r*t

If P = $1100, r = 0.032 and t = 3, then:

I = 1100*0.032*3 = $105.6

If P = $990, r = 0.0315 and t = 4, then:

I = 990*0.0315*4 = $124.74

If P = $1025, r = 0.028 and t = 5, then:

I = 1025*0.028*5 = $143.5

Answer:

Picture below

Step-by-step explanation:

Answer quick please.

Answers

Answer:

V = (1/2) mile per (5/10) hour, multiply both mile and hour by 2, => V = 1 mile per 1 hour (1 mile/hour)

Hope this helps!

:)

Answer:

1

Step-by-step explanation:

Given: A = 1 −1 −2 3 B = 1 5 8 −8 C = 1 2 3 4 Solve: AX + B = C X =

Answers

Answer:

-5 3, -5 6

Step-by-step explanation:

just did it

Answer:

1st row: [-5  3]      2nd row: [-5  6]

Step-by-step explanation:

Edge 2020

what is f^7 . f^1 please help​

Answers

Answer:

is f^8

Step-by-step explanation:

Evalute the expression. 80 + (8x4) divided by 2

Answers

Answer:

If you meant [80 + (8*4) ]/2,  then  [80 + (8*4) ]/2=56

or if you meant 80 +  [ 8*4 /  2], then 80 +  [ 8*4 /  2] = 96

Step-by-step explanation:

Evalute the expression. 80 + (8x4) divided by 2

so do you mean

the whole expression 80 + (8x4)   is  over  2 ?

If so then:

evaluate  8x4  =  8 * 4 = 32.

so   we have 80 + (8x4)   is  over  2  =  (80 + 32)/2 = 112/2 = 56

If you meant  80 +  [ 8*4 /  2]

then  80 +  [ 8*4 /  2] = 80 + 8*2 = 80 + 16 = 96

You multiply 8x4 then divide it but 2 then you add your 80 and you get 96

an umbrella at a shop was marked for $6. during a slae a discount of 10% was given. A further 8% discount was given to senior citizens. how much would a senior citizen need to pay for the umbrella during the sale? Round you answer to the nearest cent.

Answers

Answer:

75

Step-by-step explanation:

Answer:

5.52

Step-by-step explanation:

this is because if you do

6 * 0.08 it would equal 0.48

then subtract 0.48 from 6

A cylinder with height 9 inches and radius 6 inches. What is the exact volume of the cylinder? Cylinder V=Bh V = 54 pi inches cubed V = 108 pi inches cubed V = 324 pi inches cubed V = 486 pi inches cubed

Answers

Answer:

V=324 pi inches cubed

Step-by-step explanation:

The formula for the volume of a cylinder is πr²h

π(6)²(9)

π(324)

Answer:

c : 324 pi in cubed. on edge 2020

Step-by-step explanation:

when a trend line is drawn on a scatter plot, there are four points above the trend line. about how many points should be below the trend line?

a. 0
b. 2
c. 4
d. 8​

Answers

the answer is C. 4

Answer:4

Step-by-step explanation:

Solve 14x + 1 = 36.
Round to the nearest ten-thousandth.

Answers

Answer:

x≈ 3.2056

Step-by-step explanation:

Set both sides by log.  Then, solve for x.

1. 14^(x + 1) = 36

(x + 1)log(14) = log(36)

x + 1 = log(36)/log(14) . . . Divide both sides by log(14)

x = log(36)/log(14) - 1 . . . . Subtract both sides by 1.

x ≈ 0.3579 . . . . . . . . . . . .Use calculator to simplify the expression.

Note that the second problem is similar  to the first.

2. 12^(y - 2) = 20

(y - 2)log(12) = log(20)

y - 2 = log(20)/log(12)

y = log(20)/log(12) + 2

y ≈ 3.2056

Answer:

X=2.5

Step-by-step explanation:

14x +1 =36

14x + 1 =36

      - 1 = 36

14x = 35

14x / 2 = 35 / 2

x = 2.5

After a 35% discount, a book costs 11.21, what is the normal undiscounted price of the book?

Answers

Answer:

$17.25

Step-by-step explanation:

First, we know that $11.21 is 65% of the original price, so divide 11.21 by 65 to find 1% of the original price

Then just multply your result of .17246 by 100 to get 17.246, which rounded to 17.25

Final answer:

The normal undiscounted price of the book is $17.24.

Explanation:

To find the normal undiscounted price of the book, we need to calculate the original price before the discount. Let's assume the original price of the book is 'x'. After a 35% discount, the book costs $11.21. We can set up the equation:

x - 0.35x = 11.21

Simplifying the equation, we get:

0.65x = 11.21

Dividing both sides by 0.65, we find:

x = 11.21 / 0.65

Using a calculator, we get:

x ≈ $17.24

Therefore, the normal undiscounted price of the book is $17.24.

Learn more about calculating undiscounted price here:

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Evaluate each expression

Use the values a = 5 and b = 3

3(a+b)

(a+b)-7

4(2a+b)

6( a- b )+5

( a + b) ( a -b )

(2a + b ) (2a - b)

3 ( b + a )

4 (b + 2a

Answers

Answer:

Answers are all the way to the right

Step-by-step explanation:

3(a+b)      3(5 + 3)         3(8)                             24

(a+b)-7    (5 + 3) - 7      8 - 7                                1

4(2a+b)   4(2*5 + 3)      4(10 + 3)     4(13)           52

6( a- b )+5    6(5 - 3) + 5     6(2) + 5    12 + 5      17

( a + b) ( a -b )    (5 + 3)(5 - 3)    8(2)                    16

(2a + b ) (2a - b)   (2*5 + 3)(2*5 - 3)     (10 + 3)(10-3)    13(7)      91

3 ( b + a )       3(3 + 5)       3(8)                             24

4 (b + 2a)      4(3 + 2*5)        4(3 + 10)       4(13)      52

If these answers are correct, please make me Brainliest!

The answers are in this order:

24

1

52

17

16

91

24

52


If you need explanation, let me know

$5 PAYPAL + BRAINLIEST TO ANSWER THS

1) Please Rewrite this quadratic equation to
Standard Form: 3x^2=2x +5
2) Using your answer from 1): Assign values of a, b and c based on the
Standard Form of a Quadratic Equation
3) Find the value of the discriminant by substituting a,b and c from 2) and evaluating **Discriminant: ( )^2-4( )( ) = ?? **
4) Based on the discriminant, what type of solutions can we expect for this quadratic equation? Use complete sentences and proper grammar
IF ANSWERED PROPERLY I WILL MESSAGE YOU ASKING FOR YOUR PAYPAL EMAILING ADDRESS THANK YOU!

Answers

Answer:

Quadratic Equation:

[tex]3x^2=2x +5[/tex]

[tex]\text{Standard Form: } 3x^2-2x-5=0[/tex]

From the standard form of a Quadratic Function, we get:

[tex]a=3,\:b=-2,\:c=-5[/tex]

Discriminant:

[tex]\Delta=\left(-2\right)^2-4\cdot \:3\left(-5\right)[/tex]

[tex]\Delta=\left(-2\right)^2+4\cdot \:3\cdot \:5[/tex]

[tex]\Delta=64[/tex]

From the discriminant, we conclude that the equation will have two real solutions.

State that:

[tex]b^2-4ac <0:\text{The equation has no real solutions, the solutions are complex}[/tex]

[tex]b^2-4ac =0:\text{The equation has 1 real solution}[/tex]

[tex]b^2-4ac >0:\text{The equation has 2 real solutions}[/tex]

By the way, solving the equation given:

[tex]$x=\frac{2\pm\sqrt{64}}{2\cdot \:3}$[/tex]

[tex]$x=\frac{2\pm\sqrt{64}}{6}$[/tex]

[tex]$x=\frac{2\pm8}{6}$[/tex]

[tex]$x_{1} =\frac{10}{6}=\frac{5}{3} $[/tex]

[tex]$x_{2}=\frac{-6}{6} =-1$[/tex]

clarissa has 3 pints of ice tea that she divides into 1/2-pint servings. how Many 1/2 -pints servings does she have?

Answers

Answer:

6

Step-by-step explanation:

1 pint of tea will produce 2 half pints

So since there are 3 pints of tea it will produce 6 half pints of tea

в та
If B = 49°13' and b - 10 find a
a. 4.6
b. 8.6
C.
d.
5.4
6.5

Answers

Answer:

A

Step-by-step explanation:

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