Select the correct answer. The radius of a nitrogen atom is 5. 6 × 10-11 meters, and the radius of a beryllium atom is 1. 12 × 10-10 meters. Which atom has a larger radius, and by how many times is it larger than the other? A. The radius of nitrogen is 20 times larger than the radius of beryllium. B. The radius of beryllium is 40 times larger than the radius of nitrogen. C. The radius of nitrogen is 4 times larger than the radius of beryllium. D. The radius of beryllium is 2 times larger than the radius of nitrogen.

The correct answer is option c. Stratified Sampling is a type of sampling method used when the population is divided into homogeneous subgroups or strata.

With this sampling method, the population is segmented into a number of smaller groups depending on traits like gender, age, or location.

The financial advisor has to know the typical tenure of instructors at their college for the specified study.

As a result, strata can be created within the population according to how long the instructors have been teaching, and samples can be drawn from each of the strata.

In this manner, it will be possible to calculate the sample data's correct estimation of the average tenure of the college's instructors.

Complete Question:

Identify the sampling technique used for the following study

For budget purposes, a financial advisor needs to know the average length of tenure of instructors at their college.

a. Census Simple

b. Random Sampling

c. Stratified Sampling

d. Cluster Sampling

e. Systematic Sampling

f. Convenience Sampling

To learn more about Stratified Sampling visit:

https://brainly.com/question/11003935

#SPJ4

Answer:

Exponential decay

Step-by-step explanation:

The general form of an exponential function is

\(P=P_{0}a^t\), where P0 is the initial value, a is the base, and t is the exponent.

In your example, P0 is 1 and a is 4/5.

A function is experiencing exponential growth when a > 1.

A function is experiencing exponential decay when 0 < a < 1.

4/5 lies between 0 and 1, so the function is experiencing exponential decay.

Answer:

You could buy 4 avacodos with how much money you have :)

You can buy 4 avocados

first add 25 and 5 and divide 960 by 30

Answer:

D. Tails

Step-by-step explanation:

Answer:

Infinitely many solutions

Step-by-step explanation:

7x - 11 = 5(x - 2) + 2x - 1

7x - 11 = 10x - 10 + 2x - 1

7x - 11 = 7x - 11

No matter what number you plugin, it will always be equal.

1) 7x-11 = 5(x-2)+2x-1

2) 7x-11=5x-10+2x-1

3)7x-11=7x-11

4)0=0

5)Would cancel each other out.

6) So I guess no solutions?

The computations are then repeated for drawing blue first, with probabilities of 6/10 and 4/9. To calculate the likelihood of choosing blue over red, we multiply by one more, and the outcome is the same.

Getting a red ball has a 4/10 chance of happening, followed by a 6/9 chance of picking a blue ball. Multiplying these yields the likelihood of selecting a red card before a blue one.

P1 = 24/90

We then perform the identical calculations for drawing blue first, where the odds are 6/10 and 4/9. We multiply one more to obtain the likelihood of selecting blue over red, and the result is the same.

P2 = 24/90

P1 and P2 are added to obtain the overall probability.

P = P1 + P2 = 48/90

The complete question is:

A box contains 4 red and 6 blue balls. two balls are picked at random without replacement. What's the probability of drawing balls not of the same color?

To learn more about probability, refer to:

https://brainly.com/question/24756209

#SPJ1

The range of (X,Y) is the triangular region in the first quadrant of the x-y plane bounded by the x-axis, y-axis, and the line x + y = 1.

The value of constant c is 2.

The value of P(Y < 2X^2) = 2/3.

To determine the range of (X,Y) in the x-y plane, we need to find the region of the x-y plane where the joint PDF is non-zero. From the given PDF, we have that the joint PDF is non-zero for x, y > 0 and x + y < 1.

Therefore, the range of (X,Y) is the triangular region in the first quadrant of the x-y plane bounded by the x-axis, y-axis, and the line x + y = 1.

To find the constant c, we can use the fact that the total probability over the entire range of (X,Y) must be equal to 1:

∫∫ f(x,y) dA = ∫∫ cx + 1 dA = 1

where A is the region of integration, which in this case is the triangular region as described above.

Evaluating the double integral over this region, we get:

∫0^1 ∫0^(1-x) cx + 1 dy dx = 1

Simplifying and solving for c, we get:

c = 2

To find P(Y < 2X^2), we need to integrate the joint PDF over the region where Y < 2X^2. Since this region is not a simple geometric shape, we need to break it up into two parts based on the value of X:

P(Y < 2X^2) = ∫∫ f(x,y) dA, where A is the region where Y < 2X^2

= ∫0^1 ∫0^(2x^2) 2x + 1 dy dx + ∫0^(√2/2) ∫0^(1-x) 2x + 1 dy dx

Evaluating these integrals, we get:

P(Y < 2X^2) = 2/3

Therefore, the probability that Y is less than 2 times X squared is 2/3. This tells us about the relationship between X and Y and how likely it is for Y to be smaller than a multiple of X squared.

To learn more about PDF click on,

https://brainly.com/question/18328423

#SPJ4

Complete question is:

Let X and Y be jointly continuous random variables with joint PDF

cx +1                  x, y > 0, x+y<1

0                           otherwise

Show the range of (X,Y), in the x−y plane.

Find the constant c.

Find P(Y<2x^2).

The probability of the sum of two integers is greater than the product is equal to 2 / 5.

Let 'A' be the set of positive integers less than or equal to 5.

A = { 1, 2, 3, 4, 5}

Sum of two numbers is greater than the product of the numbers.

1 × 1 = 1  and 1 + 1 = 2

1 × 2 = 2 and 1 + 2 = 3

1 × 3 = 3 and 1 + 3 = 4

1 × 4 = 4 and 1 + 4 = 5

1 × 5 = 5 and 1 + 5 = 6

2 × 1 = 2 and 2 + 1 = 3

3 × 1 = 3 and 3 + 1 = 4

4 × 1 = 4 and 4 + 1 = 5

5 × 1 = 5 and 5 + 1 = 6

2 × 2 = 4 and 2 + 2 = 4

Total possibilities = 5 × 5

                             = 25

Favourable outcomes = 10

Total number of outcomes = 25

Probability of sum of two numbers greater than the product

= 10 / 25

= 2 / 5

Therefore, the probability of the sum of two numbers is greater than the product is equal to 2/ 5.

Learn more about probability here

brainly.com/question/11234923

#SPJ4

Answer:

d $258.50

Step-by-step explanation:

hope it helps

Step-by-step explanation:

\( f(x) = - 3 {x}^{2} + 9x - 2\)

A) f(-2) + f(1) = -32 + 4 = -28

B) f(-2) - f(1) = -32 - 4 = -36

Answer: -9

Step-by-step explanation:

      We will write what was given in mathematical terms, then we will simplify it to reach our answer.

      Given:

(x - 8) - (x + 1)

      Distribute the negative:

(x - 8) - x - 1

      Simplify and combine like terms:

x - x - 1 - 8

-9

The translation of word problems into mathematics equations enables the determination and prediction of precise values in real life situations.

First part:

The work rate of one person if 3 people takes two days to do a job is given by the equation;

\( \frac{1}{C} + \frac{1}{C} + \frac{1}{C} = \frac{3}{C} = \frac{1}{2} \)

Which indicates that one person takes 6 days to get the same work done

Second part;

Where the costs of a combination of cakes and orange drinks can be expressed using the equations;

2•c + o = 0.4

3•c + 3•o = 0.9

It indicates that a cake costs $0.1, and an orange drink costs $0.2

Third part;

Precision is required to conduct a scientific experiment remotely

A word problem in science is the expression of sufficient or significant background information of a problem is given using every day language, rather than using mathematical notations.

First part;

An example word problem is as follows;

The translation of the above question is as follows;

Let C represent the work rate or the number of days one person takes to do the same work, we have;

\( \frac{1}{C} + \frac{1}{C} + \frac{1}{C} = \frac{3}{C} = \frac{1}{2} \)

Which gives;

\(C = \frac{3}{ \frac{1}{2} } = 6\)

The number of days it takes one person to do the work, C = 6 days

Second part;

A word problem that involves multi step linear equations is as follows;

How much does a cake cost

How much does an orange drink cost

Solution;

Let c represent the cost of a cake and let o represent the cost of an orange drink, we have;

2•c + o = 0.4...(1)

3•c + 3•o = 0.9...(2)

Multiplying equation (1) by 3 and subtracting equation (2) from the result, gives;

3×(2•c + o) - (3•c + 3•o) = 3×0.4 - 0.9

Which gives;

3•c = 0.3

c = 0.3/3 = 0.1

c = 0.1

The cost of one cake, c = $0.1

From equation (1), we have;

2•c + o = 0.4

Which gives;

2×0.1 + o = 0.4

o = 0.4 - 2×0.1 = 0.2

The cost of one orange drink, o = $0.2

Third part;

The consequence that might occur if the measurement were not precise is that the vehicle and equipment may not be able to make it back to the surface.

Learn more about word problems in mathematics here:

https://brainly.com/question/24218448

#SPJ1

Answer:

For the book standing on the left you have a choice out of all

6

, for the next one you choose from the

5

left, and so on.

Explanation:

So the total number of arrangements you have:

6

×

5

×

4

×

3

×

2

×

1

=

720

Usually this is written as

6

!

, pronounced "6 factorial"

(factorial meaning the product of all whole numbers from

1

up to and including the one before the

!

)

Step-by-step explanation:

CORRECT ME IF IM WRONG

The equation is 51 = x + 120 × 0.30 that can find the monthly base fee charged by Chitchat wireless.

The equation representing the scenario will be formed through following components.

Total bill = monthly base fee + number of minutes × cost per minute

In the above mentioned equation, let us assume the monthly base fee to be x. Now, keep the values in formula to find the value of x.

51 = x + 120 × 0.30

Performing multiplication on Right Hand Side of the equation

51 = x + 36

Rewriting the equation according to x

x = 51 - 36

Performing subtraction on Right Hand Side of the equation

x = 15

Thus, the monthly base fee is $15.

Learn more about equation -

https://brainly.com/question/21405634

#SPJ4

The second-order partial derivative of the function h(u, v) = u/(u + 16v) with respect to v, denoted as hvv (u, v), is computed as 32u/(u + 16v)^3.

To find the second-order partial derivative of h(u, v) with respect to v (hvv), we need to differentiate the function with respect to v twice. Let's begin by finding the first-order partial derivative of h(u, v) with respect to v, denoted as hv (u, v).

To compute hv, we use the quotient rule. The numerator of h(u, v) is u, and the denominator is (u + 16v). Applying the quotient rule, we get:

hv (u, v) = (u)'(u + 16v) - u(u + 16v)' / (u + 16v)^2

= u - u = 0.

Since hv (u, v) is equal to 0, there are no v terms left when we differentiate again. Therefore, the second-order partial derivative hvv (u, v) is also 0.

In conclusion, the second-order partial derivative of h(u, v) = u/(u + 16v) with respect to v is hvv (u, v) = 0.

Learn more about  partial derivative here:

https://brainly.com/question/32387059

#SPJ11

Answer:

There will be 20 gallons in this jug after 5 minutes.

Step-by-step explanation:

You are simply adding 3 to each number.

Starts out with 2

+3=5

+3=8

+3=11

+3=14

+3=17

+3=20

Answer:

After 5 minutes there will be 14 gallons of water.

Step-by-step explanation:

The gallons go up by 3. 2+3= 5+3= 8+3= 11+3= 14

Answer:

28.27530

Step-by-step explanation:

Given the expression 62.834 × 0.45, to solve this expression, first we need to convert it to fraction

62.834 = 62834/1000

0.45 = 45/100

Take the product if the resulting fraction:

62.834 × 0.45 = 62834/1000 × 45/100

= (62834×45)/1000×100

= 2,827,530/100,000

= 28.27530

Answer:28.27530

Step-by-step explanation:Given the expression 62.834 × 0.45, to solve this expression, first we need to convert it to fraction

62.834 = 62834/1000

0.45 = 45/100

Take the product if the resulting fraction:

62.834 × 0.45 = 62834/1000 × 45/100

= (62834×45)/1000×100

= 2,827,530/100,000

= 28.27530

Answer:

\(\boxed{\sf{y+1=-0.3(x+3)}}\)

Step-by-step explanation:

Use a point-slope form.

I'll give you a hint.

Hint:

Point-slope form:

\(\sf{y-y_1=m(x-x_1)}\)

y1=(-1)

x1=(-3)

y+1=-0.3(x+3)

Therefore, the correct answer is y+1=-0.3(x+3).

I hope this helps you! Let me know if my answer is wrong or not.

Earth science is made of many branches of knowledge concerning all aspects of the Earth system. The main branches are geology, meteorology, climatology, oceanography, and environmental science. Astronomy uses principles understood from Earth to learn about the solar system, galaxy, and universe.

Only recently have humans begun to understand the complexity of our planet Earth. We have only known for a few hundred years that Earth is just a tiny part of an enormous galaxy, which in turn is a tiny part of an even greater universe.

An important component of experiments is the different variables involved. A variable is any parameter in the experiment that can change. This could be a parameter like temperature, weight or height, or it could be more complex, such as life expectancy or growth rate. Depending on how you set up your experiment, you will use different kinds of variables. There are three basic types to be familiar with.

The first type is the independent variable. This is the variable that is manipulated during an experiment. For example, when experimenting with how fertilisers affects plant growth, the fertiliser is the independent variable because this is the variable that you change. It might help to think of the independent variable as the cause of change in the experiment.

In contrast to this, the dependent variable is the variable that is affected during an experiment. In our experiment, our dependent variable would be plant growth since this is affected by the amount of fertiliser applied. If you think of the independent variable as the cause, then the dependent variable is the effect.

To know more about Earth Science visit:

https://brainly.com/question/1557934

#SPJ4

Answer:

slope: -3/4    y-intercept: 3   equation: y=(-3/4)x+3

a) The number of grades in the array G is 20. b) The grades greater than 70 in the array G: 83, 75, 82, 76, 85, 71, 96, 78, 76, 72, 75, 83, 93. c) Mean is 73.6, median is 75.5, there is no mode and the standard deviation is 17.84. d) Mean better represents the "most typical grade."

10 To determine the number of grades in the array, we can use the length function in most programming languages. In this case, since the array G is given, the number of grades is the length of the array. Therefore, the number of grades in the array G is 20.

2) To find all the grades greater than 70 in the array G, we can iterate through each element of the array and check if it is greater than 70. Here are the grades greater than 70 in the array G: [83, 75, 82, 76, 85, 71, 96, 78, 76, 72, 75, 83, 93].

3) To compute the mean, median, mode, and standard deviation of the grades in array G, we can use various statistical formulas and functions. Here are the calculations:

Mean: The mean is the average of the grades in the array. To calculate it, we sum up all the grades and divide by the total number of grades.

Mean = (68 + 83 + 61 + 70 + 75 + 82 + 57 + 5 + 76 + 85 + 62 + 71 + 96 + 78 + 76 + 68 + 72 + 75 + 83 + 93) / 20 = 73.6

Median: The median is the middle value of the sorted array. First, we need to sort the grades in ascending order: [5, 57, 61, 62, 68, 68, 70, 71, 72, 75, 75, 76, 76, 78, 82, 83, 83, 85, 93, 96]. Since the number of grades is even, we take the average of the two middle values, which are 75 and 76.

Median = (75 + 76) / 2 = 75.5

Mode: The mode is the value(s) that appear most frequently in the array. In the array G, there is no mode because no grade appears more than once.

Standard Deviation: The standard deviation measures the dispersion or spread of the grades. We can use the formula for population standard deviation to calculate it.

Standard Deviation = \(\sqrt{\)((\((68 - 73.6)^2\) + \((83 - 73.6)^2\) + ... + \((93 - 73.6)^2\)) / 20) ≈ 17.84

4) The measure that better represents the "most typical grade" depends on the distribution of the grades. In this case, since there is no mode (no grade appears more than once), we cannot determine a single grade that represents the most typical. However, we can say that the mean and median give us different insights. The mean takes into account all the grades and provides an average value, while the median represents the middle value and is not affected by extreme values. Therefore, if the distribution is symmetric and does not have outliers, the median may be a better representation of the most typical grade. However, if the distribution is skewed or has outliers, the median may be less representative, and the mean could be influenced by those extreme values.

To learn more about median here:

https://brainly.com/question/30891252

#SPJ4

The test score representing the 3rd decile is 67. So the option a is correct.

In the given question, an achievement exam was given to a population of 1,000 students.

However, a sample of only seven of student scores is listed along with their respective z score and percentile rank in the following table.

TEST SCORE      42        57        67        72        77        87        97

z score              -1.50     -0.75    -0.25     0        0.25     0.75     1.25

percentile rank  10         25        30       45        50       75        95

Using the table information, we have to find the test score representing the 3rd decile.

As we know that the 3rd decile is equal to the 30th percentile.

So that the 3rd decile have the percentile rank = 30

The test score equivalent to percentile rank 30 is 67.

So, the test score representing the 3rd decile is 67. So the option a is correct.

To learn more about percentile rank link is here

brainly.com/question/27872151

#SPJ4

Answer:

16 flower pots

Step-by-step explanation:

Length of path = 12 m long

Flower pot is placed every 3/4 m along the path ;

Number of flower pots required = (length of path / length of distance placed)

Number of flower pots required = 12 ÷ 3/4

12 * 4/3 = (12 * 4) / 3 = 48 / 3 = 16 flower pots

Answer:

16 flower pots

Step-by-step explanation:

Question 37:  The following is a solution to the differential equation y = t - 1. d.

Question 38:  The tea temperature be after a very long time is dT/dt = k(S - T); T ≈ 20 degrees after a very long time. a.

To determine the solution to the given differential equation: t²(d²y/dt²) - 6t(dy/dt) + 12 = 0, we can solve the equation by assuming a solution in the form of y = tⁿ, where n is a constant.

By differentiating y with respect to t, we can substitute the derivatives into the differential equation to determine the value of n.

Let's differentiate y = tⁿ with respect to t:

dy/dt = n × tⁿ⁻¹

d²y/dt² = n(n-1) × tⁿ⁻²

Substituting these derivatives into the differential equation:

t²(n(n-1)tⁿ⁻²) - 6t(ntⁿ⁻¹) + 12 = 0

Simplifying the equation:

n(n-1)tⁿ - 6ntⁿ + 12 = 0

n(n-1)tⁿ - 6ntⁿ = -12

Since this equation must hold for all values of t, the coefficients of the tⁿ terms on both sides of the equation must be equal.

We can equate the coefficients:

n(n-1) = 0

n = 0 or n = 1

The general solution to the differential equation is y = c₁ + c₂ × t, where c₁ and c₂ are constants.

According to Newton's law of cooling, the rate of change of the temperature T of an object is proportional to the temperature difference between the object's temperature T and the surroundings' temperature S.

We can write the differential equation as follows:

dT/dt = k(S - T)

dT/dt represents the rate of change of temperature, k is the proportionality constant, and (S - T) represents the temperature difference between the object and the surroundings.

The cup of tea starts at 100 degrees and cools to 50 degrees in 3 minutes, with the room temperature at 20 degrees.

We can assume that the temperature of the tea will tend toward the room temperature as time goes to infinity.

This option correctly represents that as time goes to infinity, the temperature T of the tea will approach the temperature S of the surroundings, which is approximately 20 degrees.

For similar questions on differential equation

https://brainly.com/question/1164377

#SPJ8

Answer:

Step-by-step explanation:

The starting equation is

12-(3x+13)=0

First add 3x+13 to both sides so that only 12 is on the left

12=3x+13

now subtract 13 from both sides to isolate your variable

-1=3x

Finally divide both sides by 3 to get your final answer

x=-1/3

The value of x is 81 .  double x = 5 4 * 3 / 2 .

What is a linear equation?

     x = 54 * 3/2

      x  = 27 * 3

     x = 81

Learn more about linear equation

brainly.com/question/11897796

#SPJ4

Answer:

  x - 6

Step-by-step explanation:

You want the algebraic equivalent of "x decreased by 6."

If a quantity is decreased by 6, it means 6 has been taken away. You might have seen this as "__ take away 6." It means 6 has been subtracted.

We represent the subtraction of 6 using a minus sign.

  x - 6

__

Additional comment

Other math symbols are associated with different wording:

Answer:

11.   g

12.  f

13.  e    (add all the frequencies)

14.  d

15.  c    (eg. 17.5 -8.5 = 9)

16.  b

17.  a

Let me know if you have any questions.

Hope this helps!