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

46 people are going to the beach. Nine people can ride in each van. How many vans are needed?

Answers

Answer:

6

Step-by-step explanation:

No. of people going to beach = 46 .

Using Unitary Method ,

9 people can go in one van .

1 person can go in 1/9

46 people can go in 1/9 * 46 = 5.1

Since vans can't be in fraction , 1 extra van for 1 person is need that is for 46th person .

So total number of vans = 5 + 1 = 6

Kendra Buys three bracelets for $48 which table shows the correct amount she would need to pay to buy nine or 13 bracelets at the same price per bracelet

Answers

Answer:

The answer is B

Step-by-step explanation:

Divide 48 by 3 which gives you the total amount for one bracelet then you have to multiply the amount by 9 and 13 and then find your answer in the letters.

The proportion relationship is as follows;

number of bracelet         total cost($)

                3                           48

                9                            144

               13                           208

Proportional relationship

Proportional relationship is one in which two quantities vary directly with each other.

Therefore, we can establish a proportional relationship between the number of bracelets and it cost.

Hence,

let

x = number of bracelet

y = cost of the bracelets

Therefore,

y = kx

where

k = constant of proportionality

48 = 3k

k = 48 / 3

k = 16

Let's find the cost for 9 or 13 bracelet

y = 12x

y = 16(9) = 144

y = 16(13) = 208

learn more on proportional relationship here: https://brainly.com/question/11807654

A neighborhood in Shiloh is building a treehouse. It has a rectangle floor of 6 ft by 4 ft. What is the area of the tree house floor?

Answers

Answer:

24

Step-by-step explanation:

Shiloh is building a tree house

It's measurement is 6ft by 4ft

Therefore the area can be calculated as follows

= 6×4

= 24

Hence the area of the rectangle is 24

I need help fast and for real no bots

Answers

Answer: d. 201.06

Step-by-step explanation:

To find area of a circle we use the equation 2pi(r) or in this case 2*pi(16)= 804.25in^2 but since we are looking for the shaded region which is 1/4 or one-fourth of the circle so divide 804.25/4 to get 201 or specifically 201.06

A trap to catch fruit flies uses a cone in a jar. The cone is shown with a height of 10 centimeters (cm) and a radius of 6 centimeters (cm.)
a. What is the volume of the​ cone? Write your answer in terms of pi.
b. Explain why an answer in terms of pi is more accurate than an answer that uses 3.14 for pi.

Answers

Answer:

120 pi

Step-by-step explanation:

a. 1/3pi(6)^2(10)

just plug them into the calculator using pi.

b. pi is more accurate because you aren't round to 3.14. If you use 3.14 your answer will be rounded and not an exact number.

The volume of the cone is 120π.

Because 3.14 is an approximation to π which is accurate to about one twentieth of a percent.

What is the volume of the cone?

The volume of the cone is;

[tex]\rm Volume \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\Where \ r= radius , \ h = height[/tex]

A trap to catch fruit flies uses a cone in a jar.

The cone is shown with a height of 10 centimeters (cm) and a radius of 6 centimeters (cm.)

1. The volume of the cone is;

[tex]\rm Volume \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\ Volume \ of \ cone=\dfrac{1}{3}\times \pi \times 6^2\times 10\\\\ Volume \ of \ cone=\dfrac{1}{3}\times \pi \times 36\times 10\\\\ Volume \ of \ cone=120\pi \\\\[/tex]

The volume of the cone is 120π.

2. Because 3.14 is an approximation to π which is accurate to about one twentieth of a percent.

If you are dealing with everyday physical measurements, this accuracy for π will likely exceed the accuracy of your measurement (such as your height to within a millimetre or four hundredths of an inch!). Hence a calculated answer would not be more accurate than if you simply used 3.14 or, just to be sure, 3.142.

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What is the distance between the bakery (b) and the library (c)? Explain using coordinate subtraction

Answers

Answer:

The distance between the bakery and the library is the length of BC. The endpoints of this line segment are B(0, 4) and C(3, 4). Because the y-coordinates of both points are the same (4), the length of BC can be found by subtracting the smaller x-coordinate from the greater x-coordinate: BC = 3 - 0 = 3 units. The distance between the bakery and the library is 3 blocks.

Step-by-step explanation:

I did the activity, this is the sample answer.

Will Mark Brainliest To First Correct Answer.
Properties of Kites on IXL. I Only need to get one more correct and dont want to get reset...

Answers

Step-by-step explanation:

[tex]ei = \sqrt{ {45}^{2} - {27}^{2} } = \\ = \sqrt{2025 - 729} = \\ = \sqrt{1296} = \\ = 36[/tex]

The radius of a circle is 8 inches. What is the area?

r=8 in

Give the exact answer in simplest form.

Answers

Answer:

201.06in²

plz mark me as brainliest

please help___________​

Answers

ANSWER: 152.5 m²
&
ANSWER: 66.8m
(I’m assuming shaded region is the whole shape)

Area triangle = 1/2bxh
96= 1/2(16)h
96=8h
h=12m

If h=12m then circle diameter = 12m
radius=12 ÷2= 6m

Area of circle= πr²
Area of semi circle = 1/2 π r²

1/2 π r²= 1/2 π(6²) =18πm² or 56.5 m²

56.5+96= 152.5 m²

ANSWER: 152.5 m²


PERIMETER
|YZ|=16
|XY|=12
|XZ|=
a²+b²=c²
(16 ²)+(12 ²)=c ²
c ²=400
c=20m

Perimeter of circle= 2πr
Perimeter of semicircle= πr = π(6)= 18.8m

[18.8+20+12+16=66.8m]

ANSWER: 66.8m





Martin bought a painting for $5000. It is expected to appreciate at a continuous rate of 4%. Write an exponential equation to model this situation

Answers

Answer:

y=5000(1.04)^t

Step-by-step explanation:

Given data

Cost of painting=$5000

Rate of increase=4%

the exponential increase expression is

y=P(1+r)^t

      Where y= the total amount after growth

                  P= the initial cost of the painting

                  r= the rate of increase

                  t= the time interval

y=5000(1+0.04)^t

y=5000(1.04)^t


please whats this?

Answers

Answer:

5 ³⁄₁₀ or ⁵³⁄₁₀

Step by step explanation:

Answer:

[tex]5 \frac{3}{10}[/tex]

A bakery offered a coupon for its catering services. The cost before the coupon was $42.50, and the cost after the coupon was applied was $37.50. Which of the following could be the function equation for this situation?

y = 5/x
y = x/5
y = x + 5
y = x – 5

Answers

Answer:

The answer of the function is y=x-5

I WILL GIVE U BRAINLYEST!! PLSS HELP!

The graph below represents the number of siblings each student in a class has.

what was the mean number of siblings?

Answers

The mean number of students in the class is 2.4 siblings.

What is the mean number of students?

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = total sum of siblings / number of students

[(0 x 4) + ( 1 x 4) + ( 2 x 2) + ( 3 x 8) + ( 4 x 4) ] / ( 2 + 4 + 2 + 8 + 4)

= 48 / 20 = 2.4 siblings

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what's the answer to this?

Answers

Answer:

126 yds will be your answer.

Step-by-step explanation:

30+(24+24)+4+2+(3+3)+(4+30+2)=126

just add all of the sides up.

A scientist is studying the effect of rainfall on the height of a certain species of sunflower. The scatter plots shows the results.

Answers

Answer:answer is d

Step-by-step explanation:

I have done the test

Which of the following sets of numbers could not represent the three sides of a right
triangle?

Answers

Answer:

{48, 64, 81}

Step-by-step explanation:

Best disc and answer will get BRAINLIEST

Answers

Answer:

A is the answer

Step-by-step explanation:

All you have to do is follow the order pair such as 2, 100 and see if that is a correct pair.

Hope that helps

Answer: A. (2, 100)

Step-by-step explanation:

Find the volume of this triangular pyramid.

Answers

Answer:

v = 340 cm³

Step-by-step explanation:

base area = 12 x 10 x 0.5 = 60 cm²

v = 60 x 17 x 1/3 = 340 cm³

Need someones help on this!

Answers

Answer:

x^3

Step-by-step explanation:

quotient property of exponents

I think the answer is c. x^3

Explain how g is 62 degrees using angle theorem. Ex supplementary angle theorem, ASTT. Etc

Answers

Answer:

The exterior angle is 35° + 62° = 97°

And 97° > 35°

And 97° > 62°

Step-by-step explanation:

Answer:

pppop-

That’s what u get

Step-by-step explanation:

∠A and \angle B∠B are vertical angles. If m\angle A=(7x-8)^{\circ}∠A=(7x−8)

and m\angle B=(6x+17)^{\circ}∠B=(6x+17)

, then find the value of x.

Answers

Do not click in the link above, he is a scammer and trying to fool us

Find the sum of the Interior angle measures of a convex 11-gon (an eleven-sided polygon).

Answers

Answer:

1620 degrees.

Step-by-step explanation:

In a polygon the number of sides = the number of angles.

Each external angle = 360 / 11 = 32 8/11 degrees.

Each internal angle = 180 - 32 8/11 = 147 3/11 degrees

So sum = 147 3/11 * 11

= 1617 + 3

= 1620 degrees.

Answer:

It's 1620°

Hope it helps

Step-by-step explanation:

Hint:>

( The sum of the interior angle (S),

The the sides of the polygon (n).)

Then use this formula :

S=180°(n-2)

= 180°(11-2)

= 180°(9)

= 1620°

Find the value of k and x2
x^2+ 13x + k = 0, x1=-9

Answers

Given:

The quadratic equation is:

[tex]x^2+13x+k=0[/tex]

[tex]x_1=-9[/tex]

To find:

The value of k and [tex]x_1[/tex].

Solution:

We have,

[tex]x^2+13x+k=0[/tex]                ...(i)

Putting [tex]x=-9[/tex], we get

[tex](-9)^2+13(-9)+k=0[/tex]

[tex]81-117+k=0[/tex]

[tex]-36+k=0[/tex]

[tex]k=36[/tex]

Putting [tex]k=36[/tex] in (i), we get

[tex]x^2+13x+36=0[/tex]

Splitting the middle term, we get

[tex]x^2+9x+4x+36=0[/tex]

[tex]x(x+9)+4(x+9)=0[/tex]

[tex](x+9)(x+4)=0[/tex]

[tex]x=-9,-4[/tex]

Here, [tex]x_1=-9[/tex] and [tex]x_2=-4[/tex].

Therefore, the required values are [tex]k=36[/tex] and [tex]x_2=-4[/tex].

Excuse me, for the person who answers this right I will brain list. (if you can't quiet understand the question, I left an image)
Complete: For the function ()=−2‾‾‾‾‾√3, the average rate of change to the nearest hundredth over the interval −2 ≤ x ≤ 4 is ______.

Answers

Answer:   It is 3.>9

Step-by-step explanation:

because i dont know

The jaguar is a top predator that helps to regulate other population in the rainforest. It produces waste that are broken down to nutrients by decomposers. Microorganisms live in its fur and it may also be home to some parasites. This description describes the jaguar's __________ ?

A. Habitat
B. Niche
C. Awesome ninja-like skills
D. Trophic Level

Answers

Answer: B. Niche

Explanation:

Definition of niche: a niche is the match of a species to a specific environmental condition. It describes how an organism or population responds to the distribution of resources and competitors and how it in turn alters those same factors.

Answer: Niche

Niche is basically like a type of place of something or someone

Which set of ordered pairs does not represent a function?

Answers

Answer is First one
Step by step explanation
In first one y=0

Answer:

Hi! The answer to your question is D. {(0,0),(0,1),(1,2)(1,3)}

Step-by-step explanation:

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☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Given a ≠ ± b and (a^2-b^2) / (a+b)=12 find a-b.
(I will give brainliest for helpful answers. Please don't put a link in the answer box.)

Answers

Answer:

[tex] \sqrt{12a \: + \: 12b \: - \: 2ab \: + \: 2b {}^{2} } [/tex]

Step-by-step explanation:

(a²-b²) / (a+b) = 12

a² - b² = 12(a+b)

(a-b)² + 2ab - 2b² = 12a + 12b

(a-b)² = 12a + 12b - 2ab + 2b²

a - b =

[tex] \sqrt{12a \: + 12b \: - 2ab \: + \: 2b {}^{2} } [/tex]

Camden invested $260 in an account paying an interest rate of 4-1/8 % compounded annually. Evan invested $260 in an account paying an interest rate of 3-7/8 compounded continuously. After 13 years, how much more money would camden have in his account than Evan, to the nearest dollar

Answers

Answer:

$5500

Step-by-step explanation:

A statue casts a shadow that is 9 ft long. A boy that is 4 ft tall casts a shadow that is 6 ft long. How tall is the statue?

Answers

Answer:

6 feet tall.

Step-by-step explanation:

The boy is 4 ft tall, but he casts a 6 ft long shadow. You need to find how long a shadow would be if a person/thing was just 1 ft tall.

To do this, you would need to divide 4 by 4, and 6 by 4 as well.

6/4 is 1.5, or 1 and a half.

If a person (or a thing) is 1 foot tall, the statue will cast 1 and a half feet long shadow.

The statue casts a 9 ft long shadow.

Since we already figured out 1 ft = 1 and 1/2 ft shadow, and since the statue casts a 9 foot long shadow, you need to divide 9 by 1.5.

(You'll get 6.)

This means that the statue is 6 feet tall, and it casts a 9 foot long shadow.

look at photo for the question and answer choices... NO LINKS OR BLANK ANSWERS

Answers

Answer:

B and E

Step-by-step explanation:

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