Exercise 1. A batch of 400 containers for frozen orange juice contains 4 that are defective. Two are selected, at random, without replacement from the batch.

(1) What is the probability that the second one selected is defective given that the first one was defective?

(2) What is the probability that both are defective?

(3) What is the probability that both are non-defective?

Answers

Answer 1

Answer:

1. 1/13,300

2. 1/13,300

3. 2607/2660

Step-by-step explanation:

Probability is the ratio of the number of possible outcomes to the number of total outcome. The probability that an event will happen added to the probability of the same even not happening is 1.

Given that there are 400 containers of frozen orange juice with 4 that are defective,

non-defective = 400 - 4 = 396

Probability of selecting

Non-defective  = 396/400 = 99/100

Defective = 4/100 = 1/100

the probability that the second one selected is defective given that the first one was defective is the same as  the probability that both are defective

= 4/400 *3/399

= 1/13,300

the probability that both are non-defective

= 396/400 * 395/399

= 99/100 * 395/399

= 33*79/20*133

= 2607/2660


Related Questions

Mr. Bond wrote the inequality –46 < –34. Write a sentence about a real-life situation that compares the values from his inequality.

Answers

Answer:

We have the inequality:

-46 < -34

This naturally happens because -46 is at the left of -34 in the number line, meaning that -46 is smaller than -34.

An example to see this is suppose that these numbers represent money.

Because the numbers are negative, then these represent money you owe.

-46 means that you owe $46

-34 means that you owe $34

Then if we are counting the money you have, owing $34 means that your money is larger than if you owe $46.

Another example is if these numbers represent distance under the surface of the water.

-46 means that you are 46 ft under the surface of the water

-34 means that you are 34 ft under the surface of the water.

Clearly, in the second case your altitude is higher than in the first one, so again, the inequality is true.

Write the first six terms of f(n) = 4n-1

Answers

6
10
14
18 are the first six terms

Justin Bieber is hiding from everyone in a tree. Somebody throws a rock at Justin trying to knock him out of the tree. An equation can be used to model the height of the rock after t seconds with an initial velocity of 12
ft/sec
H= -16^2+12t+ 5
In feet, how high can they throw the rock?(round to the nearest hundredth)

Answers

Answer:

is your teacher insane?

The practice of buying and selling goods and services over the Internet is
known as which of the following?
A. E-commerce
B. Auctioning
C. l-buying
D. Retail sales

Answers

A. E-Commerce, I took a tech class :)


PLS ACTUALLY ASNWER

Answers

Answer:

the first one, no

the second one, yes I think?(its def not no)

the third one, yes

Step-by-step explanation:

Joshua invested $97,000 in an account paying an interest rate of 6% compounded
daily. Assuming no deposits or withdrawals are made, how much money, to the
nearest cent, would be in the account after 8 years?

Answers

Answer:- $154,763.5

Answer:

answer is 156753.03

Step-by-step explanation:

help!!
 Show that 1 + tan2(x) = sec2(x)​

Answers

Answer:

tan2(x) + 1 = sin2(x)/cos2(x) + 1 = [sin2(x) + cos2(x)]/cos2(x) = 1/cos2(x) = (1/cos(x))2 = sec2(x). Thus tan2(x) + 1 = sec2(x).

Step-by-step explanation:

Answer: Not an identity

Step-by-step explanation:

pls how do i solve htis question...... (x+1)^3​

Answers

Answer:

x^3+3x^2+3x+1

The average distance from Earth to the Moon is approximately 238,900 miles. what is the distance in scientific notations?​

Answers

( 476,000 miles in general )

Which expression is equivalent to -6 - (-2)−6−(−2)minus, 6, minus, left parenthesis, minus, 2, right parenthesis? Choose 1 answer: Choose 1 answer: (Choice A) A -6+2−6+2minus, 6, plus, 2 (Choice B) B 2+62+62, plus, 6 (Choice C) C -6+(-2)−6+(−2)minus, 6, plus, left parenthesis, minus, 2, right parenthesis (Choice D) D -2 + 6−2+6

Answers

Answer:

(Choice A) A -6+2; minus, 6, plus, 2

Step-by-step explanation:

Which expression is equivalent to -6 - (-2); minus, 6, minus, left parenthesis, minus, 2, right parenthesis? Choose 1 answer: Choose 1 answer:

(Choice A) A -6+2; minus, 6, plus, 2

(Choice B) B 2+6; 2, plus, 6 (Choice C) C -6+(-2); minus, 6, plus, left parenthesis, minus, 2, right parenthesis

(Choice D) D -2 + 6

Given expression:

-6 - (-2)

Note:

- * - = +

+ * + = +

- * + = -

+ * - = -

-6 - (-2)

= -6 + 2

= -4

The correct answer is (Choice A) A -6+2; minus, 6, plus, 2

Please help I have tried so hard

Answers

So since the triangle is being reflected across the x-axis we have to we use the reflection formula for reflecting across the x-axis which is (x,y) to (x,-y) meaning  that T(-3,-2) becomes (-3,2), and R (6,2) becomes (6,-2) and S (-1, -6) becomes (-1,6) , Hope this helps

The rule is (x,y)➡️ (x,-y)
The other answers are above

In the expression 2x + y - 4, the coefficient of y is...

Answers

Answer:

1

Step-by-step explanation:

If a term does not have a written coefficient, then the coefficient is one.

This is because 1(y) = y

Answer:

1

Step-by-step explanation:

there is an "understood" 1 as the coefficient of any blank variable

but it is useless to write since anything times 1 is just the same number ..... (i.e: y *1= y...same as 5 * 1= 5)

3.2 Simplify the following
3.2.1 -2+3(1 - 4) - 2

Answers

Answer:

[tex]-13[/tex]

Step-by-step explanation:

[tex]-2+3(1-4)-2[/tex]

Simplify:

[tex]-2+3(1-4)-2\\-13[/tex]

-13 is your final answer!

if f(x) = -4(9/8)x, then what is the sum of its y-intercept and its value where x=1?

Answers

Answer:

when X=1 y = -9/2

Step-by-step explanation:

[tex] - 4 < \frac{9}{8} > {}^{1} = - 4 < \frac{9}{8} > = - \frac{ 36}{8} = - \frac{9}{2} [/tex]

(x^10)^2/x4 simplify ​

Answers

Answer:

x^16

Step-by-step explanation:

=> x^20 / x^4

=> x ^ 20-4

=> x^16

Please mark my answer as the brainliest for further answers :)

Triangle PQR has vertices at the following coordinates: P(0, 1), Q(3, 2), and R(5, -4). Determine whether or not triangle PQR is a right triangle. Show all calculations for full credit.

Answers

Answer:

it's a right angled triangle

Kylie and her three friends equally divided the cost to rent a movie for $4 and order sandwiches for a total of $15. They also have a coupon for $3 off the sandwiches. Evaluate to find the cost each person will pay.
Also the first person to answer gets brainlest :)

Answers

Answer:

4

Step-by-step explanation:

4+15-3=16 (the total amount plus coupon)

16/4=4 (divided by 4 to find out how much each friend pays)

Please help, solve for x

Answers

Answer:

x = 7

Step-by-step explanation:

5(x + 5) = 10 x 6

5x + 25 = 60

5x = 35

x = 7

Jessica and Lindsay are curious as to who owns the most pairs of shoes. Jessica counter shoes and finds that she owns 18 pairs of shoes. When Lindsay counts hers, she finds that she owns only approx 72% as many as jessica. How many pairs of shoes does she own?

Answers

Answer: 13 pairs

Step-by-step explanation:

Given

Jessica owns 18 pairs of shoes

Lindsay has 72% as many as Jessica

So, the number of pairs Lindsay owns

[tex]\Rightarrow 72\%\ \text{of}\ 18=0.72\times 18\\\\\Rightarrow 12.96\approx 13\ \text{pairs}[/tex]

Answer:

13 pairs

Step-by-step explanation:

Given

Jessica owns 18 pairs of shoes

Lindsay has 72% as many as Jessica

So, the number of pairs Lindsay owns

WILL VOTE BRAINLIEST, 50 POINTS

Answers

Answer:

-1

Step-by-step explanation:

[tex] - 3f {}^{ - 8} + 7g(2) \\ \\ = 14g - 3f {}^{ - 8} [/tex]

If p(x) = 5(x^2 +1) + 16, what is the value of p(11)?
A. 622
B. 736
C. 626
D. 690​

Answers

C. p(11) = 626.

Step-by-step explanation:

Given  : p(x) = 5(x²+1)+16.

To find :  what is the value of p(11).

Solution : We have given  p(x) = 5(x²+1)+16.

For x = 11.

p(11) = 5((11)²+1)+16.

p(11) = 5 ( 121 + 1 ) +16.

p(11) = 5 (122) + 16.

p(11) =  610 + 16.

p(11) = 626.

Therefore,  p(11) = 626.

PLEASE I NEED THE ANSWER QUICK
v + 25 < 5
v = ?

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{v + 25 < 5}[/tex]

[tex]\large\textsf{SUBTRACT 25 to BOTH SIDES}[/tex]

[tex]\mathsf{v + 25 - 25 < 5 - 25}[/tex]

[tex]\large\textsf{CANCEL out: 25 - 25 because that gives 0}[/tex]

[tex]\large\textsf{KEEP: 5 - 25 because it gives us v or solve for it}[/tex]

[tex]\mathsf{v < 5 - 25}[/tex]

[tex]\mathsf{5 - 25 = -20}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf v < -20}}}\large\checkmark\\\boxed{\boxed{\mathsf{\bf It\ is\ an\ O P E N E D\ circle\ on\ -20\ shaded\ to\ the\ left}}}[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Solve the system of equations: {2(3x-2y)+1=7x, 12(x+y)-15=7x+12y

Answers

Step-by-step explanation:

hope this help have a great day!

What geometric figure would you get if you joined the endpoints of two rays and pointed the rats in opposite directions?

Pls help me ASAP, this is due today. I would really appreciate it.

Answers

A line? They’ll look like this right? <—••—> ?

Simplify the expression: 6a + 9b - c - 9a +2b + 3c

Answers

Answer:

-3a + 11b + 2c

Step-by-step explanation:

The answer is -3a + 11b + 2c

What is the volume of the composite figure?

Answers

Answer:

It's 372 in³

Step-by-step explanation:

A rectangular prism's volume is l x w x h right? So there are 2 rectangular prisms. So just add the volume of 2 rectangular prisms (12 x 4 x 4 + 12 x 3 x 5 = 372 in³

If Mrs. Allan's car uses 8 gallons of gas for a 224-mile trip, then, at that rate, how many gallons of gas would the car use for a 560-mile trip?

Answers

Answer:

20 gallons of gas

Step-by-step explanation:

Given that :

8 gallons of gas = 224 mile trip

Miles per gallon of Mrs. Allan's car :

Number of miles / gallons of gas

224 miles / 8 gallons

= 28 miles per gallon

Gallons of gas car will use for 560 miles

Number of miles / miles per gallon

560 miles / 28 miles per gallon

= 20 gallons of gas

Can someone pls help I will give you the crown

Answers

Answer:

i think b

Step-by-step explanation:

Please help, i need it for a test, I'll give you brainliest :]

Answers

Answer:

Step-by-step explanation:

C

Pictures attached-- 100 points!! Assuming that any increase occurs in whole dollar amounts, what is the maximum possible increase that maintains the desired minimum revenue? Explain why this is true.

Answers

Answer:

Part A:

Cost: 10+x

Customers: 16 - 2x

Part B:

-2x^2+-4x+160 ≥ 130.

Part C:

$12

Part D:

$12 because it is greater.

Step-by-step explanation:

To know how to solve you do this

Put each number from part c like 13 is 3 and change the x

for example

-2(x)^2-4(x)+160

to

-2(3)^2-4(3)+160

Is it greater than ≥ 130 or equal to?

What evera is greater to is the answer.

Mark me BRAINLIETS PLS!!!!!!!!!!

Other Questions
How can a weaker party impact the law making process? Find the value of x in the picture below. (round to nearest tenth if needed) THANK YOU FOR HELPING ME:) Help me PLZZ its worth 20 points Helppppp its due today True or false? President Franklin Roosevelt was sworn in after President Kennedy's assassination escribe con letra 0.00125 The function of the liver in humans is to maintain the [glucose] circulating in the blood stream at reasonably constant levels. This is so organs like the brain that use primarily glucose as their carbon source to produce energy via ATP have a steady supply of glucose. It also ensures that the levels of glucose in the blood stream do not get too high. Using the plots from problem 6, discuss why it makes sense that glucokinase in liver would behave differently than the hexokinase in other cells. Fill in the BlankWhen a person leaves their old country, it is called__When a person moves to a new country, its is called__When a person moves, it is called__The reasons a person leaves a country are called__The reasons a person comes to a country are called__ PLS HELP ILL GIVE BRAINLEST!!!!!!!! I have an hour to do this please help I NEED HELP WITH THIS QUESTION ;) What role did Napoleon Bonaparte play in the history of Brazilian Independence? PLEASE HELP ME I WILL HIVE BRAINLIST TO THE CORRECT ANSWER !!!!!!!!!!! what is a contractionary action congress could take? HELPP ME PLSSSS NO BOTS OR I WILL REPORT YOUU!! Which politicians benefitted the most from the July Days? help me plsssssssss asap simplify the expression GEOMETRY find the angle of PRQ NO LINKS!! Insecurely attached infants are those who respond to their mothers with either Select one: a. egocentrism or empathy. b. anxiety or avoidance. c. conservation or basic trust. d. assimilation or accommodation.