3. In how many ways can you fill three different positions by choosing from 15 different people?
A. 3.2.1
B. 15 14 12.3
C. 15-3
D. 15 14 13

Answer: 46.0 inches

Step-by-step explanation:

   Since this measurement is the diagonal length, this will be a right triangle we can use the Pythagorean theorem where a and b are the legs and c is the hypotenuse.

a² + b² = c²

43² + b² = 63²

1,849 + b² = 3,969

b² = 2,120

b = \(\sqrt{2,120}\)

b ≈ 46.0435

   Rounded to the nearest tenth of an inch:

46 inches

The  natural annual percent of  increase of its population is 1.6%, under the given condition that in the given country possess a crude birth rate of 24 per 1,000 and crude death rate of 8 per 1,000.

Then the correct option is Option B.

For the purpose of evaluating the natural annual percent of increase in a population we have to  subtract crude death rate from  crude birth rate and then dividing by 10.

So for the given case,

the natural annual percent of increase in the population would be

((24-8)/10)

= 1.6%

The  natural annual percent of  increase of its population is 1.6%, under the given condition that in the given country possess a crude birth rate of 24 per 1,000 and crude death rate of 8 per 1,000.



To learn more about birth rate

https://brainly.com/question/18658773

#SPJ4

The complete question

If a country has a crude birth rate of 24 per 1,000 and a crude death rate of 8 per 1,000, the natural annual percent increase of its population is

a) 0.6%

b)1.6%

c) 3%

d)16%

e) 32%

To calculate the probability of spelling the word "BANANA" using the given scrabble tiles, we need to determine the total number of possible arrangements of the tiles and the number of favorable arrangements that spell the word "BANANA."

Total number of possible arrangements:

The pig has 6 tiles: { A, A, A, B, N, N }. We can calculate the total number of possible arrangements using permutations since the tiles are distinct. There are a total of 6 tiles, so the number of possible arrangements is 6!.

6! = 6 x 5 x 4 x 3 x 2 x 1 = 720

Number of favorable arrangements:

To spell the word "BANANA," we need one 'B,' three 'A's, and two 'N's. The pig has only one 'B,' so there is only one possible arrangement for the 'B.' For the three 'A's, we have 3! (3-factorial) arrangements since they are indistinguishable. Similarly, for the two 'N's, we have 2! (2-factorial) arrangements.

Arrangements for 'B' = 1

Arrangements for 'A' = 3!

= 3 x 2 x 1

= 6

Arrangements for 'N' = 2!

= 2 x 1

= 2

Number of favorable arrangements = Arrangements for 'B' x Arrangements for 'A' x Arrangements for 'N'

= 1 x 6 x 2

= 12

Probability of spelling "BANANA":

The probability is calculated by dividing the number of favorable arrangements by the total number of possible arrangements.

Probability = Number of favorable arrangements / Total number of possible arrangements

= 12 / 720

= 1 / 60

≈ 0.0167

Therefore, the probability that the pig will spell the word "BANANA" if it randomly places the letters in line is approximately 0.0167 or 1/60.

To know more about probability visit-

brainly.com/question/15120707

#SPJ11

Rewrite the angle as a sum or difference with its

reference angle: sin(180° + 20°)

Simplify the expression using the general

reduction formula: sin(20)

Calculate the approximate value: -0.34202

Answer: -0.34202

Answer:

1 is C and 2 is B

Step-by-step explanation:

The answer is 30~~~~~~~~

Answer:    1/4

Answer:

Step-by-step explanation:

Here is the complete question: Find the rate of change for the situation:

A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people.

Given: 1st situation, A chef cook 9 lbs chicken for 36 people.

          2nd situation, chef cook 17 lbs chicken for 68 people.

∴ 1st situation, weight of chicken per person=  

 Weight of chicken per person=  

2nd situation, weight of chicken per person=  

Weight of chicken per person=  

In both the situation chef cook same amount of chicken per person, which is  

∴ Rate of change is

Step-by-step explanation:

There are several important information's already given in the question. Based on those information's the answer can be easily deduced.

In the first case,

The amount of chicken the chef cooks for 36 people = 9 pounds

Then

The amount of chicken the chef cooks for 1 person = 9/36

                                                                                 = 1/4 pounds

Now let us take the second case

The amount of chicken the chef cooks for 68 people = 17 pounds

Then

The amount of chicken the chef cooks for 1 person = 17/68

                                                                                 = 1/4 pounds

From the above deductions, it can be concluded that the correct option among all the options given in the question is the third option or option "B".

Answer:

y = ±5

x = ±6

Step-by-step explanation:

Here we have the system:

x^2 + y^2 = 61

x^2 - y^2 = 11

Notice that we have both variables squared, then we can define:

x^2 = X

y^2 = Y

And write our system as:

X + Y = 61

X - Y  = 11

To solve this, the first step is to isolate one of the variables in one of the equations, i will isolate X in the second equation:

X = 11 + Y

Now we can replace this in the other equation to get:

(11 + Y) + Y  = 61

Now we can solve this for Y

11 + 2*Y = 61

2*Y = 61 - 11 = 50

Y = 50/2 = 25

Y = 25

And remember that Y = y^2

then:

y^2 = 25

y = √25 = ±5

And using the equation: X = 11 + Y

X = 11 + 25 = 36

X = x^2 = √36 = ±6

By calculation, your grade in the class now is 78.7

From the question, we have the following parameters that can be used in our computation:

Score of 47.2 in 60

Represent the score in 100% with x

So, we have the following equation

47.2/60 = x/100

Multiply both sides of the equation by 100

So, we have

100 * 47.2/60 = x/100 * 100

This gives

100 * 47.2/60 = x

So, we have

x = 100 * 47.2/60

Evaluate

x = 78.7

Hence, your grade in the class now is 78.7

Read more about percentage at

https://brainly.com/question/843074

#SPJ1

1   Y is distributed as N(aμ + b, a^2σ^2), as desired.

2  We have shown that under these conditions, E[XY] = E[X]E[Y].

To prove that Y is distributed as N(aμ + b, a^2σ^2), we need to show that the mean and variance of Y match those of a normal distribution with parameters aμ + b and a^2σ^2, respectively.

First, let's find the mean of Y:

E(Y) = E(aX + b) = aE(X) + b = aμ + b

Next, let's find the variance of Y:

Var(Y) = Var(aX + b) = a^2Var(X) = a^2σ^2

Therefore, Y is distributed as N(aμ + b, a^2σ^2), as desired.

We can use the definition of covariance to prove that E[XY] = E[X]E[Y]. By the properties of expected value, we know that:

E[XY] = ∫∫ xy f(x,y) dxdy

where f(x,y) is the joint probability density function of X and Y.

Then, we can use the fact that X and Y are independent to simplify the expression:

E[XY] = ∫∫ xy f(x) f(y) dxdy

= ∫ x f(x) dx ∫ y f(y) dy

= E[X]E[Y]

where f(x) and f(y) are the marginal probability density functions of X and Y, respectively.

Therefore, we have shown that under these conditions, E[XY] = E[X]E[Y].

Learn more about distributed here:

https://brainly.com/question/29664127

#SPJ11

The mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)

Given data values are 55, 56, 70, 61, 53, 57, 50, 73, 52, 69, and 2. We need to calculate the mean, median, and mode of this sample.So, let's first arrange the data values in ascending order:2, 50, 52, 53, 55, 56, 57, 61, 69, 70, 73

Mean:The mean is the sum of all the data values divided by the total number of data values. So, we can use the following formula to calculate the mean:

Mean = (sum of all the data values) / (total number of data values)Sum of all the data values = 55 + 56 + 70 + 61 + 53 + 57 + 50 + 73 + 52 + 69 + 2 = 598Total number of data values = 11

Therefore,Mean = (sum of all the data values) / (total number of data values) = 598 / 11 = 54.36 (rounded to two decimal places)Therefore, the mean of the given data values is 54.36.

Median:The median is the middle value of a sorted data set. Since the data set has 11 data values, the median is the average of the 6th and 7th values (counting from smallest to largest).

Therefore, the median is :Median = (55 + 56) / 2 = 55.5Therefore, the median of the given data values is 55.5.

Mode:The mode is the data value that appears most frequently in the data set. In this case, there is no data value that appears more than once. So, there is no mode.

Therefore, the mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)

For more questions on Mean .

https://brainly.com/question/29368683

#SPJ8

Answer: Let's start by finding the volume of the original cylinder using the formula:

V = πr^2h

where V is the volume, r is the radius, and h is the height.

We know that the volume of the original cylinder is 50 cubic centimeters, so we can write:

50 = πr^2h

Next, we triple both the radius and height to get the dimensions of the new cylinder:

New radius = 3r

New height = 3h

The volume of the new cylinder can be calculated using the same formula:

V = π(3r)^2(3h) = 27πr^2h

So, we need to find the volume of the new cylinder in terms of the original volume of 50 cubic centimeters:

27πr^2h = 27π(50/h)r^2h = 1350πr^2h

Therefore, the new cylinder would require 1350 cubic centimeters of water to fill.

Step-by-step explanation:

Descriptive and inferential statistics are two branches of statistics that work together to analyze and interpret data. The choice of which type to use depends on specific factors and objectives of the research or analysis being conducted.

Descriptive statistics involve summarizing and presenting data in a meaningful way. They include measures such as central tendency (mean, median, mode), dispersion (standard deviation, range), and graphical representations (histograms, box plots) to describe the characteristics of a dataset. Descriptive statistics provide a clear and concise summary of the data, enabling researchers to understand its distribution and key features.

On the other hand, inferential statistics involve drawing conclusions or making inferences about a population based on a sample. Inferential statistics use probability theory to make estimations, test hypotheses, and assess relationships between variables. They involve techniques such as hypothesis testing, confidence intervals, and regression analysis. Inferential statistics help researchers make generalizations or predictions about a larger population beyond the observed sample.

The choice between descriptive and inferential statistics depends on the research question, objectives, available data, and the level of understanding sought. Descriptive statistics are used to summarize and describe data, while inferential statistics are employed to make broader inferences and draw conclusions about populations. Both types of statistics are valuable and are utilized depending on the specific analysis goals and research context.

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

To solve this problem, let's assume the speed of the current is "x" mph. When the boat is traveling upstream (against the current), its effective speed is reduced by the speed of the current. Therefore, the speed of the boat relative to the water is 11 - x mph.

When the boat is traveling downstream (with the current), its effective speed is increased by the speed of the current. Therefore, the speed of the boat relative to the water is 11 + x mph.

Now, let's calculate the time taken for each leg of the journey:

Time taken to go 40 miles upstream = Distance / Speed
Time taken to go 40 miles upstream = 40 / (11 - x) hours

Time taken to go 70 miles downstream = Distance / Speed
Time taken to go 70 miles downstream = 70 / (11 + x) hours

According to the problem, these times are equal. So, we can set up the equation:

40 / (11 - x) = 70 / (11 + x)

To solve this equation, we can cross-multiply:

40 * (11 + x) = 70 * (11 - x)

440 + 40x = 770 - 70x

Now, let's solve for x:

110x = 330

x = 3

Therefore, the speed of the current is 3 mph.

To know more about speed of the current visit:

https://brainly.com/question/11824664

#SPJ11

Answer:

chatGPT

Step-by-step explanation:

Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:

d = v * (12/60) (since Car A reaches its destination in 12 minutes)

d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)

Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:

12v = 60d

18v = 60d + 240

Subtracting the first equation from the second, we get:

6v = 240

Therefore:

v = 240/6 = 40

So the cars travel at a speed of 40 miles per hour.

In light of this, 9 is the smallest positive integer that can be expressed as the sum of two cubes stated in two separate ways.

In statistics, an integer refers to any number that is not a fractional or a decimal and can be good, negative, or zero. A subset of real numbers called integers can be seen on a number line. Integers include things like -3, -2, -1, 0, 1, 2, 3, and so forth. Integers are utilised in algebra, numerical methods, and other areas of mathematics in addition to basic operations like addition, deletion, multiplication, and division.

given

Trying various numbers for a and b before figuring out c and d is one technique to go forward. As an illustration, let's start with a = b = 1:

\(1^3 + 1^3 = 2\)

Due to the following values of a and b, 2 is not a perfect cube.

\(2^3 + 1^3 = 9\)

We can attempt all values of c and d such that c3 + d3 = 9 to see if we can discover another pair of cubes that add up to 9:

\(c = 0, d = 2: 0^3 + 2^3 = 8\\c = 1, d = 2: 1^3 + 2^3 = 9\\c = 2, d = 1: 2^3 + 1^3 = 9\\c = 2, d = 0: 2^3 + 0^3 = 8\)

In light of this, 9 is the smallest positive integer that can be expressed as the sum of two cubes stated in two separate ways.

To know more about integer visit:

https://brainly.com/question/15276410

#SPJ1

The two functions f(x) and g(x) are f(x) = √x and g(x) = x - 3

From the question, we have the following parameters that can be used in our computation:

h(x) = sqrt(x - 3)

(f ∘ g)(x) = h(x)

This means that

(f ∘ g)(x) = sqrt(x - 3)

Rewrite the above equation properly

So, we have the following representation

(f ∘ g)(x) = √(x - 3)

The function (f ∘ g)(x) is calculated as

(f ∘ g)(x) = f(g(x))

So, we have

f(g(x)) = √(x - 3)

This means that

f(g(x)) = √g(x)

By comparison. we have

g(x) = x - 3

f(x) = √x

Hence, the functions are f(x) = √x and g(x) = x - 3

Read more about composite functions at

https://brainly.com/question/10687170

#SPJ1

(Hey, angles rock!)

Answer:

45 + 60 = 105

Step-by-step explanation:

ABC consists of two angles, angle ABD and angle DBC. Therefore, the sum of the measures of angles ABD and DBC is the measure of ABC.

45 + 60 = 105

Answer:

um i think no.C but don't know how to explain

Answer:

C

Step-by-step explanation:

C, because there ain't no lines intercepting on graph c

Answer:

-3p

Step-by-step explanation:

Answer:

-3p

Step-by-step explanation:

5p - 4p = 1p - 4p = -3p

Since the limit evaluates to different values along different paths, we conclude that the limit does not exist at (0,0).

A straight line is a geometrical concept that represents a set of points that extend infinitely in both directions without any curvature or deviation. It is the shortest distance between two points in Euclidean geometry and is defined by two points on the line. Any two distinct points in a plane can be connected by a unique straight line. Straight lines are fundamental in mathematics, physics, and engineering, and are used to represent many concepts, including trajectories, vectors, and functions.

To show that the limit does not exist, we need to find another path where the limit evaluates to a different value or does not exist.

Let's consider the path y = mx, where m is any constant. Then, as (x, y) approaches (0, 0) along this path, we have:

\(lim (x,y)\) → \((0,0) -5x^3y / (-4x^6 + 7y^2)\)

\(= lim x\) → \(0 -5x^3(mx) / (-4x^6 + 7(mx)^2)\) [substituting y = mx]

\(= lim x\) → \(0 -5m x^4 / (-4x^6 + 7m^2x^2)\)

\(= lim x\) → \(0 (-5m / x^2) / (-4x^4 + 7m^2)\)

\(= lim x\) → \(0 5m / (4x^2 - 7m^2)\)

Now, the limit will not exist if this expression evaluates to different values for different choices of m.

If m = 0, then the expression becomes 0/0, which is an indeterminate form. We can use L Hsopital's rule to evaluate this limit:

\(Lim x\) → \(0 5m / (4x^2 - 7m^2)\)= \(lim x\) → \(0 (d/dx)(5m) / (d/dx)(4x^2 - 7m^2)\)

= \(Lim x\) →\(0 0 / (8x) = 0\)

If m ≠ 0, then the denominator \(4x^2 - 7m^2\)will be nonzero as x approaches 0. Therefore, the limit will be:

\(lim x\) →\(0 5m / (4x^2 - 7m^2)\)= ±∞, depending on the sign of 5m and \(4x^2\) - \(7m^2.\)

Since the limit evaluates to different values along different paths, we conclude that the limit does not exist at (0,0).

To know more about limit, visit:

https://brainly.com/question/8533149

#SPJ1

Answer:

\(m=\frac{3}{2}\)

Step-by-step explanation:

The x value of the y-intercept must be 0, so let

\((x_1,y_1)=(0,1)\)

and

\((x_2,y_2)=(4,7)\)

The slope of a line can be found with the following:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

So,

\(m=\frac{(7)-(1)}{(4)-(0)}\\m=\frac{6}{4}\\m=\frac{3}{2}\)

nice same here but im NOT mingling with you

Answer:

mmmmmm points

Step-by-step explanation:

Answer:

^set chapters^

my amwer lies in paper

Answer:

(0, -7)

Step-by-step explanation:

Answer:

0,-7

Step-by-step explanation:

You can either graph it onto a calculator/desmos, or you can solve for y by making x=0 then your just left with y=-7

Answer:

A

Step-by-step explanation:

The standard form of a circle equation is:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center and r is the radius.

We can plug in the given values to get:

(x + 1)^2 + (y - 2)^2 = 9

This is the same as option A

In the given proof shown below, the idea of tangents and perpendicularity is used to set up a relationship between two lines, AR and BS.

The tangent is a term that is used to tell more or described as the  point of contact between a circle or an ellipse and a single line.

Based on the fact  that the tangent line is perpendicular to radius of the circle.

Hence, AR ⊥ RS and BS ⊥ RS

Therefore, AR and BS ⊥ similar to line RS.

So,  the line AR or BS are said to be either in same line or parallel. because , they are the radius of different circles.

Therefore, AR ║BS.

Learn more about tangent here:

https://brainly.com/question/22631806

#SPJ1

Answer:

3.9

Step-by-step explanation:

nine more than thirty=39

39/10=3.9