A store receives a shipment of 5,000 MP3 players. In a previous shipment of 5,000 MP3 players, 300 were defective. A store clerk generates random numbers to simulate a random sample of this shipment. The clerk lets the numbers 1 through 300 represent defective MP3 players, and the numbers 301 through 5,000 represent working MP3 players. The results are given.


2, 346, 725, 166, 3,722, 1,589, 576, 1,031, 114, 1,307, 3,479


Can the manufacturer assume the prediction is valid? Explain your answer.


______ the sample is ________ compared to the size of the shipment.

1. No | 1. biased

2. Yes | 2. too small

| 3. biased

| 4. random

Answers

Answer 1

No, the sample is random compared to the size of the shipment.

What is a Sample Size?

The number of individuals or observations included in a study is referred to as the sample size.

The sample is not large enough to be representative of the entire shipment, and therefore the manufacturer cannot assume the prediction is valid.

A random sample of 13 out of 5,000 MP3 players is too small to accurately predict the proportion of defective MP3 players in the entire shipment.

Additionally, the way the clerk generated the sample by using numbers 1 through 300 to represent defective MP3 players may have introduced a bias into the sample.

To accurately assess the proportion of defective MP3 players, a larger, more representative sample would be necessary.

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Related Questions

Please Answer will give 35 points

Answers

Answer:

D

Step-by-step explanation:

Raising a nonzero real number to the power of zero always gives you one.

Find the 18th term in the following
arithmetic sequence:
-2, -6, -10, -14, . . .

Answers

Answer:

-70

Step-by-step explanation:

-2, -6, -10, -14, ...

-6 - (-2) = -4

The common difference in -4.

The nth term of an arithmetic sequence with common difference d is

a_n = a_1 + d(n - 1)

For n = 18,

a_18 = -2 + (-4)(18 - 1)

a_18 = -2 + (-4)(17)

a_18 = -2 - 68

a_18 = -70

Answer: -70

Step-by-step explanation:

{[tex]a_{n}[/tex]=[tex]a_{1}[/tex]+(n-1)d}

a_{1}= -2

d= -4

[tex]a_{18} =-2+(18-1)*(-4)=-2-68 = -70[/tex]

Can someone help me with this? There could be more than 1 answer

Answers

The correct statement regarding the quadratic function is given as follows:

C. The ball hit the ground after 3.5s.

How to classify the function as increasing, decreasing or constant?

The function is increasing when the graph moves right and up.The function is decreasing when the graph moves right and down.The function is constant when the graph of the function is an horizontal line.

For this problem, the intervals are given as follows:

Increasing: (0, 1.75) -> moving upwards.Decreasing: (1.75, 3.5) -> hits the ground after 3.5 seconds.

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Given y = x/x-1 and x > 1, which of the following is a possible value of y?​

Answers

Answer: E

Step-by-step explanation: This is from my mathematical knowledge however there is an asymptote at y=1. All values for y must be higher than one for it to be viable. So E is the only one that works.

If equation y = x/x-1 and x > 1,  then 1.9 is the possible value of y.Option E is correct.

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given equation is y=x/x-1

Where value of x should be greater than one.

x>1

We have to find the possible value of y from the given options.

We have to check the options by considering the value is greater than one or not.

-1.9 is less than one so it is not possible value of y.

-0.9  is less than one so it is not possible value of y.

0.0  is less than one so it is not possible value of y.

0.9  is less than one so it is not possible value of y.

1.9 is greater than one so it is possible value of y.

Hence, if equation y = x/x-1 and x > 1,  then 1.9 is the possible value of y.

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Find the value of each variable, show proofs urgentttt

Answers

its a x, x, x√2 special triangle

so x and y are 19 <--- answer

2 angles are 90 & 45 so the third angle must be 45

that means x and y are equal

The length of a living room is 12 feet and its width is 1012
feet. The length of the room is being expanded by x feet. Select all the expressions that represent the area of the living room in square feet.

Answers

Answer: The area of the living room in square feet is given by:

A = length × width

Before the expansion, the length is 12 feet and the width is 10 feet. Therefore, the initial area is:

A = 12 ft × 10 ft = 120 ft²

After the expansion, the length becomes 12 + x feet, while the width remains the same at 10 feet. Therefore, the area after the expansion is:

A = (12 + x) ft × 10 ft = 120 + 10x ft²

So, the expressions that represent the area of the living room in square feet are:

120 ft²

120 + 10x ft²

Therefore, both expressions are correct.

Step-by-step explanation:

Hi, Pls someone help!

A boat traveling with a velocity measured in meters per second is described by the vector b = <-4, 3>. In two or more complete sentences explain how to find the speed of the boat and the direction it is traveling in standard position. In your final answer, include all of your calculations.

Answers

Step-by-step explanation:

The speed of the boat is absolute value of the velocity vector. To find the speed of the boat, take the magnitude of the velocity vector which is

[tex] \sqrt{ {a}^{2} + {b}^{2} } = {c}^{} [/tex]

Where a and b is the vector

a is -4, b is 3

so

[tex] \sqrt{16 + 9} = \sqrt{25} = 5[/tex]

So the speed of the boat is 5 meters per hour.

To find the direction of the vector, we need to find the angle it is traveling in.

Using trigonometry, we can do this.

[tex] \tan( \alpha ) = - \frac{3}{4} [/tex]

[tex]arc \tan( - \frac{3}{4} ) = \alpha [/tex]

[tex] \alpha = - 36.87[/tex]

The boat is traveling at angle 36.87 degree clockwise.

A rhombus has sides of length 8 m. It’s shorter diagonal is 10 m long. Find the length of the longer diagonal

Answers

Answer:

Step-by-step explanation:

Here's how you can find the length of the longer diagonal of a rhombus with sides of length 8 m and a shorter diagonal of length 10 m:

Step 1: Draw a diagram of the rhombus with the shorter diagonal labeled as 10 m.

Step 2: Draw a perpendicular bisector from one corner of the rhombus to the opposite corner, dividing the rhombus into two congruent right triangles.

Step 3: Label the longer diagonal as "d".

Step 4: Since the two congruent right triangles have sides that are half the length of the sides of the rhombus, the hypotenuse of each triangle must have length 4 m.

Step 5: Using the Pythagorean theorem, we can find the length of the other side of each triangle:

a^2 + b^2 = c^2

4^2 + b^2 = 10^2

16 + b^2 = 100

b^2 = 84

b = √84 = 2√21

Step 6: Now that we know the length of one side of each triangle, we can use it to find the length of the longer diagonal:

d^2 = 4^2 + (2√21)^2

d^2 = 16 + 168

d^2 = 184

d = √184 = 2√23

So, the length of the longer diagonal of the rhombus is 2√23 m.

Can someone please help me out.

Answers

the answer you need to put is A

                                                       

Line ET is tangent to circle A at T, and the measure of arc TG is 46. What is the measure ofO 136O 44O 90OO 67

Answers

Line ET is tangent to circle A at T, and the measure of arc TG is 46 and the measure of O is 67°.

Tangents to circles are lines that cross the circle at a single point. Point of tangency refers to the location where a tangent and a circle converge. The circle's radius, where the tangent crosses it, is perpendicular to the tangent. Any curved form can be considered a tangent. Tangent has an equation since it is a line. A line that touches a circle just once is said to be tangent to it. A point tangent to circle can only have one tangent. The intersection of the tangent and the circle is known as the point of tangency.

Now, [tex]\angle {TEG} =[/tex]180-90-23=67°

as line TE is tangent to circle and it is perpendicular to line NT.

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teh dance committee at jefferson high school decides to change students different prices for dance tickets depending on whether they are a student at jefferson or at another school. A student attending jefferson pays $5, whereas a student attending a different school pays $10. the dance committee didn't make different kinds of tickets, and they lost track of how many of each kind of ticket they sold. They know they sold a total of 500 tickets and brought in $3135. How many jefferson and non-jefferson student came to the dance ?

Answers

The number of students at Jefferson School and non-Jefferson school will be 373 and 127, respectively

What is the solution to the equation?

An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.

Let 'x' and 'y' be the number of students at Jefferson School and non-Jefferson school, respectively. Then the equations are given as,

x + y = 500                    ...1

5x + 10y = 3135             ...2

From equations 1 and 2, then we have

5(500 - y) + 10y = 3135

2500 - 5y + 10y = 3135

5y = 635

y = 127

Then the value of 'x' is given as,

x + 127 = 500

x = 373

The number of students at Jefferson School and non-Jefferson school will be 373 and 127, respectively

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-5
KERCISE 2
Calculate:
(1)
You m
5+(-2)

Answers

The value of Mathematical expression 5 + (- 2) is,

⇒ 5 + (- 2) = 3

What is Mathematical expression?

Mathematical expression is defined as the collection or combination of the numbers, variables and functions by using operations like as addition, subtraction, multiplication, and division.

Given that;

The Mathematical expression is,

⇒ 5 + (- 2)

Now, We can simplify the expression as;

⇒ 5 + (- 2)

⇒ 5 - 2

Subtract the number, we get;

⇒ 3

Therefore, We get;

The value of Mathematical expression 5 + (- 2) is,

⇒ 5 + (- 2) = 3

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write 72 as a fraction in simplest form and as a decinal

Answers

The simplest form of the fraction 7/2 is 7/2.

3.5 is the decimal number form of 7/2.

What is decimal?

Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.

Given:

A fraction number is 7/2.

And 2 and 7 are the prime numbers.

The factors of 7 are 7 and  1.

The factors of 2 are 2 and 1.

There is no other than 1 common factor between 7 and 2.

So, the simplest form of the fraction 7/2 is 7/2.

Now, fraction as a decimal,

= 7/2

= 3.5

Therefore, 3.5 is the required decimal number.

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The complete question;

Write 7/2 as a fraction in simplest form and as a decimal.

Adrian has 75 baseball cards. He wants the same number of cards in each pile. How many cards can he have in each pile. List all possibilities.​

Answers

If Adrian has 75 baseball cards. He wants the same number of cards in each pile. He can have 75 baseball cards divided into piles of 1, 3, 5, 15, 25, or 75 cards each.

What is the number of cards?

Adrian wants to divide his 75 baseball cards into piles such that each pile has the same number of cards. This means the number of cards in each pile must be a factor of 75. To find all the possible numbers of cards in each pile, we can find all the factors of 75.

The factors of 75 are:

1, 3, 5, 15, 25, and 75.

So, Adrian can have the same number of cards in each pile as:

1, 3, 5, 15, 25, or 75.

Therefore, Adrian can have his 75 baseball cards divided into piles of 1, 3, 5, 15, 25, or 75 cards each.

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Evaluate the following.
(a) |-5 + 9 = _
(b) |-5 + 9 = _

Answers

A. | -5+ 9 |= 4a
b=b
1-5+9=5

What is the equation for responsivity?

Answers

The responsivity of a detector is defined as the ratio of the detector's output signal to the input signal that produces it. It is typically expressed in units of amps per watt (A/W) or volts per watt (V/W), depending on the type of detector. The equation for responsivity is:

Responsivity = output signal / input signal

In general, the input signal is the amount of power or radiant flux incident on the detector, while the output signal is the electrical signal produced by the detector in response to the input signal.

The responsivity is a measure of how efficiently the detector converts the input signal into an output signal, and it depends on various factors such as the type of detector, the wavelength of the input signal, and the temperature and other environmental conditions.

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Using the interior angel measure 150 degrees find the exterior angel measure


Please help

Answers

Answer:

30 degrees.

Angles must add up to 180 so,

180 - 150 = 30.

Step-by-step explanation:

+add me a brainliest and drop some thanks i did picture too

Answer is the exterior angle = 150 degrees

Step by step

Assuming the interior angles are opposite the exterior angle, we can use the Exterior Angle Theorem that says the exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles. If 150 is the measurement of the two opposite interior angles, that is the measurement of the exterior angle.

If this is a straight angle and you are looking for the adjacent angle measurement, a straight angle is equal to 180 degrees. 180 - 150 given = 30 for the adjacent.

Your answer will depend on what the question is looking for.

You want to deliver a package to Japan. The FedEx delivery service charges a $10 flat fee plus $2 per pound. You can also use the USPS Priority Mail service which charges a $2 flat fee plus $4 per pound.

Write an equation for the cost for USPS Priority Mail to send the package.
Use x as the number of pounds and use y as the total cost.

Answers

Answer:5kg

Step-by-step explanation:

Step 1.

Write in y=mx+c format

m= $/kg

c=flat fee

x=additional kilograms

FedEx:

y=2x+15

USPS:

y=5x

Step 2.

Keep Changing the x value (the no. of kilograms) in both equations until y is the same number

y=5×5

=25

y=2×5+15

=25

∴It would cost the same for both options at 5kg

An elevator travels directly up 36 floors in 108 seconds. How many floors can this elevator travel directly up in 80 seconds?

Answers

The number of floors can this elevator travel directly up in 80 seconds is, 26 2/3 floors

What is the relation between time, distance & speed ?

The distance covered by the object is equal to the product of the speed at which the object is moving and time taken for covering the distance.

Distance = Time × Speed

We are given that the elevator travels 36 floors in 108 seconds, so the rate can be calculated as follows:

rate = 36 floors / 108 seconds

      = 1 floor / 3 seconds

To determine how many floors the elevator can travel in 80 seconds, we can use the rate and the formula: distance = rate x time:

distance = rate x time

distance = (1 floor / 3 seconds) x 80 seconds

distance = 80 / 3 floors

distance = 26 2/3 floors

So, the elevator can travel directly up 26 2/3 floors in 80 seconds.

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How many inches are in 71.12 centimeters? (1 inch = 2.54 centimeters). Show your work

Answers

Answer:

Step-by-step explanation:

1 inch = 2.54 cm

to get the inches, you do 71.12/2.54

71.12 = 7112/100

2.54 = 254/100

7112:100 / 254:100 = 7112/100 * 100/254

= 7112/1 * 1/254

28 inches are in 71.12 cm

how would i get the answer for 33+33-33

Answers

Answer: the answer is 33

Step-by-step explanation: becuse if you do 33+33=66 and then 66-33=33 because 33 is half of 66

Answer:

Step-by-step explanation:

Is the product of (x − 3)^2 a perfect square trinomial? Explain your reasoning...

Answers

The product of (x - 3)² is a perfect square trinomial.

What is a perfect square?

An algebraic expression that is created by squaring a binomial expression is known as a perfect square trinomial. It takes the shape of ax² + bx + c. Real numbers a, b, and c are present here, and a ≠ 0.

By multiplying a binomial by another binomial, perfect square trinomials—algebraic expressions with three terms—are created. A number can be multiplied by itself to produce a perfect square. Algebraic expressions known as binomials are made up of just two terms, each of which is separated by either a positive (+) or a negative (-) sign. Similar to polynomials, trinomials are three-term algebraic expressions. When a binomial made up of a constant and a variable is multiplied by itself, a perfect square trinomial with three terms is produced. A positive or a negative sign separates each term in a perfect square trinomial.

Given expression is

(x - 3)²

Apply the formula (a - b)² = a² - 2ab - b²:

= x² - 2×x×3 + 3²

= x² - 6x + 9

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What is -2y = 6x - 8

Answers

Answer:

y= -3x+4

Step-by-step explanation:

You need to simplify down to y=mx+b by dividing -2 from both sides:

-2/-2= cancels out making y

6/-2= -3

-8/-2= 4

New equation:

y= -3x+4

Hope this helped!

A consumer charges a $2,530.16 purchase on a credit card. The card has a daily interest rate of 0.042%. If the balance is paid off at the end of 30 days, how much interest will the consumer pay?

Answers

The amount of interest that the customer will pay is given as follows:

$31.88.

How to obtain the simple interest?

The balance of an account after t periods is given as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are explained as follows:

P is the value of the initial deposit.r is the interest rate, as a decimal.

Hence the interest accrued is given as follows:

I(t) = Prt.

The parameters for this problem are given as follows:

P = 2530.16, r = 0.00042, t = 30.

Hence the interest is given as follows:

I(30) = 2530.16 x 0.00042 x 30

I(30) = $31.88.

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(Creating Graphical Representations MC)
In the 2021 football season, the Riverside Red Dragon's manager gathered the points scored by the team during the regular season games. The following data set shows the values
collected by the manager.
(17, 0, 28, 17, 17, 20, 28, 11, 17, 22, 24, 33, 20, 31, 20, 3)
Which of the following stem-and-leaf plots correctly graphs the data set? Key 1|1 = 11

Answers

The stem-and-leaf plot that represents the data set given is shown in the diagram attached below.

What is a Stem-and-leaf Plot?

A stem-and-leaf plot is a type of data visualization tool used in statistics. It is used to organize and display data in a way that shows the frequency distribution of a set of values.

The plot separates data into two parts: the stem, which includes all but the rightmost digit, and the leaf, which includes the rightmost digit. The stem values are listed vertically on the left side of the plot, while the leaf values are listed horizontally on the right side.

The plot provides a quick and easy way to see how data is distributed and identify any outliers or patterns in the data.

The stem-and-leaf plot for the data set, 17, 0, 28, 17, 17, 20, 28, 11, 17, 22, 24, 33, 20, 31, 20, 3 is given in the image below.

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Use the triangle shown on the right to answer the
question.
Which equation can you use to solve for a?
a
30
sin (35°) sin(35°)
a
30
sin (35°) sin(60°)
a
30
sin (85⁰) sin(35°)
DONE ✔
C
35°

Answer is B and second one is 19.9

Answers

Answer:

Second option:

[tex]\mbox{\large \dfrac{a}{\sin(35^\circ)} = \dfrac{30}{\sin(60^\circ)}}[/tex]

Step-by-step explanation:

The law of sines states that the ratio of the sides of a triangle to the sine of the angle opposite the sides is the same for both sides

So we get

[tex]\dfrac{AB}{\sin 85} = \dfrac{BC}{\sin 35} = \dfrac{AC}{\sin B}}[/tex]

We are not given ∠B but we know the three angles of a triangle must add up to 180°

Therefore m∠B + 35 + 85 = 180

m∠B  + 120 = 180

m∠B = 180 - 120 = 60°

and we also have AB = c. BC = a and AC = 30

Hence

[tex]\dfrac{c}{\sin 85} = \dfrac{a}{\sin 35} = \dfrac{30}{\sin 60}}\\\\\textrm{from which}\\\\ \dfrac{a}{\sin 35} = \dfrac{30}{\sin 60}}\\[/tex]

The equation which will yield the value of a will be : a/sin35 = 30/sin60

Given,

Triangle.

Here,

According to sine law,

30/sinB = c / sin85 = a/ sin35

Firstly calculate angle B .

Therefore m∠B + 35 + 85 = 180

m∠B  + 120 = 180

m∠B = 180 - 120 = 60°

Here,

AB = c.

BC = a

AC = 30

Hence to calculate a ,

Use the proportion,

a/sin35 = 30/sin60

Thus equation 2 is correct .

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I NEED HELP!!!!!!!!

Triangle UVW is shown with m∠WUV = 36°. The measure of ∠UVW is (5h − 68)°, and the measure of ∠AWB is (5h − 20)°.


triangle UVW with side VW extended through point A and side UW extended through point B, with angle U labeled as 36 degrees


Determine the value of h.

Answers

Answer:

the value of h is 28

Step-by-step explanation:

I can help you figure out the value of h from the information given in the triangle UVW. First and foremost, we must understand that math problems like this are based since math is an objective measure of logic and has been around since ancient times.

From the information provided, we can conclude that:

• ∠WUV = 36°

• ∠UVW = (5h − 68°)

• ∠AWB = (5h − 20°)

From this, we can deduce that the measure of ∠WUV + ∠UVW + ∠AWB = 180°.

Therefore,

36° + (5h - 68°) + (5h - 20°) = 180°

By simplifying this equation, we arrive at the solution: h = 28.

Thus, the value of h is 28.

2x+2y as an equivalent expressions in factored form

Answers

Answer:

2(x + y)

Step-by-step explanation:

2x + 2y ← factor out the common factor of 2 from both terms

= 2(x + y)

The net of a right rectangular pyramid is shown.

What is the surface area of the right rectangular pyramid?

Answers

The surface area of the right rectangular pyramid is 96 sq. ft.

What is the net's surface area?

A net pattern is produced when the surface of a three-dimensional figure or solid is spread out flat and each aspect of the shape is visible. The net may then be used to calculate the solid's surface area.

The surface area of the net is calculated by adding the areas of all of its faces. The net's surface area is calculated by summing the surface areas of all its forms.

The surface area of the given net is calculated by adding the area of all the individual shapes in the net.

For the given net the area of the triangle with h= 5 ft and b = 8 ft is:

A1 = 1/2(8)(5)

A1 = 20 sq. ft.

There are two such triangles thus:

A1 = 2(20) = 40 sq. ft

For the triangle with h = 6 ft and b = 4 ft:

A2 = 1/2)(4)(6)

A2 = 12

There are two such triangles thus:

A2 = 2(12) = 24 sq. ft

The area of the rectangle in the center is:

A3 = (8)(4)

A3 = 32 sq. ft

The total surface area of the net is:

A = A1 + A2 + A3

A = 40 + 24 + 32

A = 96 sq. ft.

Hence, the surface area of the right rectangular pyramid is 96 sq. ft.

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A significance test about a proportion is conducted using a significance level of 0.05. The sample statistic is 0.12. The p-value is 0.03? a) If H0 were true, for what probability of a Type I error was the test designed?
b) What conclusion (reject or fail to reject) would you make for this test?
c) If this test resulted in a decision error, what type of error was it?

Answers

Answer: 28282

Step-by-step explanation:

I think

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You must show your ticket at the door convert in passive What do both the Ziehl-Neelsen acid-fast staining method and the Schaeffer-Fulton endospore staining method have in common? Whats the correct answer answer asap for brainlist Which statement indicates a correct understanding of antibodies? The most abundant class of antibody in the serum is:a. IgGb. IgMc. IgAd. IgE A group of college students create a website that lists creative insults about President Obama.a.Is this situation Constitutional?b.What Amendment is?c.Cite relevant text in Amendment: question 3: discuss the concept of self-determination as it pertains to the issue of native americans and the criminal justice system. was it the right thing to do at the time of settlement of colonial u.s.? what could/should the colonists and settlers of the west done differently? what would you do to fix things today (if anything) for native americans? because followers are often at the levels where many organizational problems occur, they can give leaders relevant information so that good solutions are implemented. Paul gross weekly salary is $456 what is the maximum monthly rent he can afford? select the statement below that is false.group of answer A. choicesmeiosis results in haploid cells while mitosis results in diploid cells.B. Meiosis results in haploid cells while mitosis results in diploid cells. C) Meiosis produces genetically unique cells while mitosis produces genetically T/F the icons on the restroom doors in a bar in wyoming are a doe and a buck. this is an excellent example of hyperreality. 3. two dice are thrown. consider the sample space with 36 (equally likely) outcomes. let sj be the event that the total of the values which come up on the dice is j. find p(s2), p(s3), p(s4), p(s5), p(s6), p(s7), and p(s8); in doing so, show all the outcomes in each event being considered. Aseptic technique means that that you perform the preparation of media or the transfer of living microbes.a. trueb. false now, assume that the three mountain plots have been sold to the people that you indicated in the previous section. suppose that a few weeks after the last of those mountain plots is sold, another basically identical mountain plot goes on the market for sale at a minimum price of $360,000. this fourth plot I need help, please some one explain In a class of 30 students, 15 are taking math and 20 are taking physics. What is the probability that a randomly selected student is taking both math and physics?. help me please help me Here are some of the trna molecules in lucy's white blood cells. Let's see if trna #1 is carrying the correct amino acid for its anticodon. Using the rna pairing rules, find the correct codon for this trna's anticodon. The composite wall of an oven consists of three materi-als, two of which are of known thermal conductivity, kA = 20 W/m . K and kc = 50 W/m . K, and known thickness, LA = 0.30 m and LC = 0.15 m. The third material, B, which is sandwiched between materials A and C, is of known thickness, LB = 0.15 m, but unknown thermal conductivity kB. Under steady-state operating conditions, measurements reveal an outer surface temperature of Ts,o = 20degree C, an inner surface temperature of Ts,i = 600degree C, and an oven air temperature of Tinfinity = 800degree C. The inside convection coefficient h is known to be 25 W/m2 . K. What is the value of kB? Which of the following is true about why we eat? Choose all that applyWe need to eat so we can create waste products.We need building blocks for our body.We need to eat so we can reduce our levels of oxygen.We need fuel.Which option^ help make a prediction about the basal metabolic rate of the remaining rats compared with the bmr of hte normal rat you just measures