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

HELPPPPPPPP 5TH GRADE MATH Select the statement that correctly describes the relationship between these two sequences: 1, 2, 3, 4, 5 and 10, 20, 30, 40, 50.

Each term in the second sequence is 10 times the corresponding term in the first sequence.
Each term in the second sequence is double the corresponding term in the first sequence.
Each term in the second sequence is 20 times the corresponding term in the first sequence.
Each term in the first sequence is double the corresponding term in the second sequence.

Answers

Answer:

Each term in the second sequence is double the corresponding term in the first sequence.

Step-by-step explanation:

pls mark as brainliest

The correct statement that describe the two sequences is:

Each term in the second sequence is 10 times the corresponding term in the first sequence.

What is an arithmetic sequence?

This is a type of sequence which have common difference between each term. It is represent mathematically as:

Tₙ = a + (n – 1)d

Where

Tₙ is the nth term

a is the first term

n is the number of terms

d is the common difference

How to determine the relationship between the sequences Sequence 1: 1, 2, 3, 4, 5 Sequence 2: 10, 20, 30, 40, 50Relationship =?

Relationship = sequence 2 / sequence 1

For the 1st term Sequence 1 = 1Sequence 2 = 10Relationship =?

Relationship = sequence 2 / sequence 1

Sequence 2 / sequence 1 = 10 / 1

Cross multiply

Sequence 2 = 10 × sequence 1

For the 2nd term Sequence 1 = 2Sequence 2 = 20Relationship =?

Relationship = sequence 2 / sequence 1

Sequence 2 / sequence 1 = 20 / 2

Sequence 2 / sequence 1 = 10 / 1

Cross multiply

Sequence 2 = 10 × sequence 1

If we continue with the pattern above, we'll discovered that

Sequence 2 = 10 × sequence 1

Thus, we can conclude that:

Each term in the second sequence is 10 times the corresponding term in the first sequence.

Learn more about arithmetic sequence:

https://brainly.com/question/16130064

Skip count 89300 forward by 5000

Answers

89300, 94300, 99300, 104300, 109300. To keep going forward, add 5000 after each number.

what divided by 3/7=7/15

Answers

Answer:

45/49

decimal form:

0.91836734

Step-by-step explanation:

given the rectangular coordinates (-8,15), which of the following polar coordinate pairs represents the same point in radians?

a(17,2.65)
b(-17,-1.08)
c(12.7,2.65)
d(-12.7,-0.49)

Answers

Answer:

1. (x,y)=

2. (3, 480°), (3,-240°), (-3, -60°)

3. (-17, -1.08)

4. on the second circle from the center and 153° clockwise from the horizontal axis

Step-by-step explanation:

took quiz...100%

A stem and leaf plot titled High Temperatures in degrees Fahrenheit. The stems are 4, 5, 6, 7. The first column of leaves are 9, 2, 0, 2. The second column of leaves are blank, 4, 1, 3. The third column of leaves are blank, 4, blank, blank. The fourth column of leaves are blank, 6, blank, blank. The fifth column of leaves are blank, 8, blank, blank. The stem and leaf plot shows high temperatures recorded each day at the beginning of the month. Which temperature occurs the most frequently

Answers

Answer:

The temperature with the highest frequency is 54

Step-by-step explanation:

Given

The above data

Required

The temperature with the highest frequency

The first step, is to plot the stem and leaf plot.

[tex]\begin{array}{cc}{4} & {9\ \ } & {5} & {2\ 4\ 4\ 6\ 8} & {6} & {0\ 1\ } & {7} & {2\ 3\ } \ \end{array}[/tex]

Next, is to identify the leaf with the highest frequency.

The leaf is 4 (with frequency 2)

Next, is to identify the accompanying stem of the leaf

The stem is 5

Hence, the temperature with the highest frequency is 54

Answer:

B

Step-by-step explanation:

edg 2021

estimate each product 49.2×10.3

Answers

Your answer is 506.76 for 49.2 times 10.3

3. The following sequence shows the number of pushups Kendall did each week, starting with her first week of exercising: 6, 18, 54, 162…
(a) What is the recursive rule for the sequence?
(b) What is the iterative rule for the sequence?

Answers

{{{ THE BOLDED CHARACTERS SHOULD BE SMALL. }}}

SEQUENCE: 6, 18, 54, 162

18/6 = 3

54/18 = 3

162/54 = 3

then, r (common ratio) = 3

_________________________________________

RECURSIVE RULE: r = 3

an = a(n - 1) × r       [formula]

ANSWER: an = a(n - 1) × 3

_________________________________________

ITERIATIVE RULE: r = 3, a1 = 6

an = a1 × r^(n - 1)       [formula] [ ^(n-1) is an exponent]

ANSWER: an = 6 × 3^(n - 1)

Select the correct answer.
What are the asymptote and the y-intercept of the function shown in the graph?

f(x) = 3(0.2)^x + 2

A. asymptote: y = -2
y-intercept: (0,5)

B. asymptote: y = 2
y-intercept: (0,5)

C. asymptote: y = 2
y-intercept: (0,4)

D. asymptote: y = -2
y-intercept: (0,3)

Answers

Answer:

B

Step-by-step explanation:

The function reaches the y-axis at the point (0,5).

The asymptote is the line that the function follows but never quite reaches. In this case, the function follows the path of y = 2. However, it never exactly fits the line.

The y-intercept is (0,5) and the asymptote is y = 2. The answer, then, is B.

Good luck ^^

The equation of the asymptote is y = 2 and the coordinate of the y-intercept will be (0, 5). Then the correct option is B.

What is asymptote?

An asymptote is a line that constantly reaches a given curve, but does not touch at any infinite distance.

The equation of the function is given below.

[tex]\rm f(x) = 3(0.2)^x + 2[/tex]

The asymptote of the function is given as by substituting x as infinity, then the equation of the asymptote will be

[tex]\rm y = 3(0.2)^{\infty} + 2\\\\y = 2[/tex]

Then the y-intercept of the function will be given by substituting y = 0, then the y-intercept will be

y = 3(0.2)⁰ + 2

y = 3 + 2

y = 5

The coordinate of the y-intercept will be (0, 5).

Then the correct option is B.

More about the asymptote link is given below.

https://brainly.com/question/17767511

#SPJ5

2 Which expressions can be used to find the volume of the rectangular prism?
3 ft
5 ft
7 ft
apply.
5
35 + 5
35 x 3
(7 + 5) x3
7+3+5
35 + 35 + 35

Answers

Answer:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

Explain, using an example, why you need to multiply when converting from a larger unit to a smaller unit

Answers

Answer:

This is often called scaling in math, used in ratios, fraction, percent's etc.

Step-by-step explanation:

Answer:

You can use similar processes when converting from smaller to larger units. When converting a larger unit to a smaller one, you multiply; when you convert a smaller unit to a larger one, you divide. Here is an example..

The checkbook balance of Hercher Company is $1,955.81. The bank statement shows a balance of $3,142.11. The statement shows interest earned of $31.55 and a service charge of $22.80. There is a deposit in transit of $3,991.88. In further analyzing the statement it was discovered that the bank collected a note for $3,100.000. Hercher Co. forgot to deduct a check for $850 during the month. There is a check outstanding for $2,919.43. What is the reconciled balance?

Answers

Answer:

Reconciled balance $3,142.11

Step-by-step explanation:

The computation of the reconciled balance is shown below:

Debit balance as per check book $1,955.81

Add: interest earned $31.55

Collection of note $3,100

Outstanding checks $2,919.43

Less: service charges -$22.80

Less: deposit in transit -$3,991.88

Less: forgot a check -$850

Reconciled balance $3,142.11

The same would be relevant and considered too

Can someone explain why the answer is False. Will Mark brainliest.

Answers

Answer:

Supplementary Angles are 180 degrees. A triangle has 180 degrees. One angle is already 90 degrees, so 2 more angles with 180 degrees is impossible.

Step-by-step explanation:

Juan is a teacher and takes home 618 papers to grade over the weekend. He can grade
at a rate of 6 papers per hour. How many papers would Juan have remaining to grade
after working for 7 hours?

Answers

Answer:

576

Step-by-step explanation:

6 papers an hour. 7 hours spent grading.

So 7•6 = 42

618-42

576

Hope this helps

is 12, -15, -18, -21 arithmetic

Answers

The first person might be right

Dot plot A is the top plot. Dot plot B is the bottom plot.
According to the dot plots, which statement is true?
The mean of the data in dot plot A is less than the
mean of the data in data plot B.

The median of the data in dot plot A is greater than the
median of the data in dot plot B.

The mode of the data in dot plot A is less than the
mode of the data in dot plot B.

The range of the data in dot plot A is greater than the
range of the data in dot plot B.

Please help I’m giving BRAINLIEST

Answers

Answer:

The median of plot A is greater that the median of plot B

Step-by-step explanation: the median on plot A is 45 and the median on plot B is 15

1)The mean of the data in plot A is greater than the

mean of the data in plot B.

2) The median of the data in plot A is greater than the

median of the data in dot plot B.

3) The range of the data in plot A is greater than the

range of the data in plot B.

What is the median?

The median is the middle number in a sorted, ascending, or descending, list of numbers.

Let us arrange the data of plot A in ascending order:

30,35,35,40,40,40,40,45,45,45,45,50,55,55,60

Number of observations = 15

Mean of the plot A = 44

Median will be the middle observation i.e. 8th observation i.e. 45

Let us arrange the data of plot A in ascending order:

5,5,5,10,10,10,10,15,15,15,20,20,25,30,35

Number of observations = 15

Mean of the plot B = 15.33

Median will be the middle observation i.e. 8th observation i.e. 15

Therefore,1)The mean of the data in plot A is greater than the

mean of the data in plot B.

2) The median of the data in plot A is greater than the

median of the data in dot plot B.

3) The range of the data in plot A is greater than the

range of the data in plot B.

To get more about the median, mode, and mean visit:

https://brainly.com/question/14532771

plz help 5x + 2 = x – 10

Answers

Answer:

x= -3

Step-by-step explanation:

5x + 2 = x - 10

4x + 2 = -10

4× = 10 - 2

4x = -12

x= -3

how many different four-digit ID tags can be made if repeats are allowed​

Answers

Answer:

4!

Explanation:

4! = 4×3×2×1 = 24

here's an example:

123412431324134214231432213421432314234124132431312431423214324134123421412341324213423143124321

Seth is using a large shoe box to store his baseball cards. The length of the box is 12 inches, and the height is 6 inches. If the volume of Seth's box is 288 cubic inches, how wide is the box?

Answers

Step-by-step explanation: *First, decide which volume formula to use:     v = lwh

*Next, substitute in for what you do know (leave variable for unknown):  288 = 12 · w · 6

*Then simplify the side of the equation with the variable: 288 = 72 · w

*Now divide each side of the equation by 72 to solve for w:

288 ÷ 72 = w

4 in = w

What’s the area?? There’s a picture

Answers

Answer:

A= 12 Ft^2

Step-by-step explanation:

Reminder the Area formula is A=B(Base) times H(Height).

Take The base (6) and the Height (6) then multiply.

Hence, the reason is 12 Ft squared.

2x+4 and 5x-8 help please

Answers

Answer:

7x - 4

Step-by-step explanation:

2x + 4 + 5x - 8

7x + 4 - 8

7x - 4

7x-4
I think this is correct..
Please give brainliest because I am saving for expert and I need 4 more brainliest

Find all the missing sides and angles of this triangle.
A
7
B
70°
C

Answers

90+70= 160
Then 180-160=20
So angle A is 20

six and fifty-three hundredths as a decimal-


Yes, I'm D-U-M-B!

Answers

Answer:

6.58

Step-by-step explanation:

ahahahaha lol

Answer:

6.58

i hope this helps:)

Step-by-step explanation:

brainliest please?

ok soooo
when you rrly think abt it we all have kicked a pregnant lady

Answers

I kick them every day

Answer:

Step-by-step explanation:

lol true

Maths equation need help please

Answers

Answer:

I FIGURED IT OUT!

Step-by-step explanation:

a = 3

b = 3

c = 5

d = 2

give me brainliest

Darius wants to buy a new car. The car he chooses has a total purchase price of $18,500. Darius uses a multi-offer website to apply for a car loan. He receives three offers with minimum payments he can afford. The terms for each loan are shown in the table.

Darius belive he should chose loan option B. Which of the following statements about Darius’s choice is true?

A. Darius should choose loan option B because it has the shortest loan term.

B. Darius should not choose loan option B because he will pay $398.52 more in interest than on loan option C.

C. Darius should choose loan option B because he will pay $280.44 less in interest than on loan option A.

D. Darius should not choose loan option B because it does not have the lowest interest rate.

Answers

Answer:

the correct answer is B, Darius should not choose loan option B because he will pay $398.52 more in interest than on loan option C.

Step-by-step explanation:

I also had this question, and it showed that I got it correct :)

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

Only the mean increased.

Step-by-step explanation:

The mean is the total divided by the number of scores, and since adding 21 will increase the total score significantly, the mean increases.

The median is still 7.

Which one is true
1
2
3
4

Answers

The student mad a mistake between step 2 and 3

A carnival game has 160 rubber ducks floating in a pool. The person playing the game takes out one duck and looks at it.

If there’s a red mark on the bottom of the duck, the person wins a small prize.
If there’s a blue mark on the bottom of the duck, the person wins a large prize.
Many ducks do not have a mark.

After 50 people have played the game, only 3 of them have won a small prize, and none of them have won a large prize.

Estimate the number of the 160 ducks that you think have red marks on the bottom

Answers

Answer:

Here is the answer

Step-by-step explanation:

That will show you.

What is the value of y in the equation 4 + y=-3?
7
1
-1
-7

Answers

Answer: -7

Because if y is -7 then the equation would be 4 - 7 = -3 which is true :)

Need help! much appreciated

Answers

Answer:

C-D = 6

A-B = 3.25

D = 118

Step-by-step explanation:

C-D = 6 because the line is the same as B-C

A-B = 3.25 because the line is the same as A-D

D = 118 because the angle of B is vertically opposite to D

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