33% of female statistics students have tattoos. Suppose we take a random sample of 15 female statistics students Let X represent the number of students with tattoos This situation can be modeled with a binomial random variable X Calculate the standard deviation of X Round your answer to three decimal places

In the given case the set of 56 students who returned surveys is an example of a sample

A sample would be the 56 students who responded to the surveys. A sample is a portion of the population that is chosen for a study in research. American college students would be the population in this scenario. The 56 students who returned the surveys were chosen at random for the sample by the researcher.

The researcher is attempting to guarantee that the sample is representative of the greater population of American college students by utilising a random selection process. The researcher discovered that these students spend an average of 4.1 hours per week working on course material outside of class based on the data collected from the sample. This is an example of a descriptive statistic that provides a summary of the information gleaned from the sample.

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Answer:

........

Step-by-step explanation:

The position of the tree is (13.692 km, -1.398 km). A bird flies from its nest 9 km in the direction of 60∘ north of east, where it stops to rest on a tree. It then flies 13 km in the direction due southeasi and lands atop a telephone pole.

At what point is the tree located?

A bird flies from its nest 9 km in the direction of 60∘ north of east, where it stops to rest on a tree. It then flies 13 km in the direction due southeasi and lands atop a telephone pole.

We will place an xy-coordinate system so that the origin is the bird's nest, the x-axis points east, and the y-axis points north. Let's take AB to be the displacement vector of the bird with respect to the nest in a step of 9 km at 60 degrees north of east.

Then, we can write AB vector = 9 cos 60° i + 9 sin 60° j = 4.5i + 7.794jNow, the bird flies a displacement vector of 13 km towards southeast direction.

Thus, the displacement vector is: BC vector = 13 cos 135° i + 13 sin 135° j = −9.192i + 9.192j Therefore, the final position of the bird is given by AC vector which is the vector sum of AB vector and BC vector. Thus, AC vector = AB vector + BC vector= 4.5i + 7.794j - 9.192i + 9.192j = -4.692i + 16.986j.

The magnitude of AC vector is given by √((-4.692)² + 16.986²) = 17.6825 km. Therefore, the point at which the bird lands on the telephone pole is 17.6825 km away from the nest.

To find the position of the tree, we can subtract BC vector from AB vector as follows: AB vector - BC vector = (4.5 − (−9.192))i + (7.794 − 9.192)j= 13.692i − 1.398j.

Therefore, the point at which the bird lands on the tree is 13.692 km in the east and 1.398 km in the south.

In the above problem, we have found the position of the tree and the telephone pole with respect to the bird's nest.

The displacement vectors AB and BC have been determined based on the given distance and direction of the bird's flight.

Then, the displacement vector AC was found by taking the vector sum of AB and BC. From this, we found the magnitude of AC to be 17.6825 km which is the distance of the telephone pole from the bird's nest. Then, to find the position of the tree, we simply subtracted BC vector from AB vector.

This gave us a displacement vector of 13.692 km in the east and 1.398 km in the south.

This gives us the coordinates of the tree with respect to the bird's nest. Therefore, the position of the tree is (13.692 km, -1.398 km).

In conclusion, we have found the exact positions of the tree and the telephone pole with respect to the bird's nest by using vector addition.

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Answer:

Step-by-step explanation:

i hope

the the answer is 2ab3(a4+3b3−7ab)

hope it helps.

sorry if it wrong

-Delilah

False. The frequency polygon and the histogram are two different ways to represent data, and they have distinct characteristics.

A frequency polygon is a line graph that displays the distribution of a quantitative variable. It shows the frequency of each value or class interval on the horizontal axis and the corresponding frequencies on the vertical axis. The points on the graph are connected to form a line, which gives a visual representation of the data distribution.

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Answer:

x = 40

Step-by-step explanation:

I don't understand, but I think you mean 2x + 20 = x + 60

So that's what I'm going to solve for if that's wrong tell me what you mean.

2x + 20 = x + 60 (subtract 20 on both sides)

2x = x + 40 (subtract x on both sides)

x = 40

HOPE THIS HELPS!

IF YOU HAVE A QUESTION ABOUT THIS COMMENT.

Answer:

x = 26.6

Step-by-step explanation:

1. 2x+20+x+60

2. Combine like factors (x' s, and 20+60)

3. 3x+80

4. divide 80 from 3 (80/3)

5. 26.6

Answer:

216

Step-by-step explanation:

Find each angle's value. This is a pentagon, so 360/5 = 72. Now, to get from A to D, you have to go 3 spaces counter-clockwise. This'll get you 72 x 3 = 216.

Answer:

216

Step-by-step explanation:

Find each angle's value. This is a pentagon, so 360/5 = 72. Now, to get from A to D, you have to go 3 spaces counter-clockwise. This'll get you 72 x 3 = 216.

Answer: 0.80

Step-by-step explanation:

Given

80% of the precipitation falls on the lake surface

The percentage can be written as

\(x\%=\dfrac{x}{100}\)

\(\therefore 80\%=\dfrac{80}{100}=0.80\)

Answer:

RM 600

Step-by-step explanation:

1 unit -> bought for RM 2.50

             sold for RM 3.10

Selling price is higher than buying price, hence a profit is made.

Profit (for 1 unit) = Selling price - Buying Price

                           = RM 3.10 - RM 2.50

                           = RM 0.60

Since Deeni bought 1000 units of stock,

Profit Obtained = 1000 x RM 0.60

                           = RM 600

Answer:

50 kilometers

Step-by-step explanation:

All you need to do to solve is plug in 4.5 into x: y=10(4.5)+5. First you multiply 4.5 by 10 to get 45. Then, you add 5 to 5 to get 50.

Answer:

⚪ 3x - 9 + 2x²

Step-by-step explanation:

It is a quadratic equation.

\(.\)

Answer:I=(PxRxT)/100

I=(10000x20x1)/100x2

I=200000/200

I=1000

Step-by-step explanation:

The given equation is

In order to satisfy the equation x must be equal to -5 because -5 + 5 = 0.

Step-by-step explanation:

What is the electric potential at the centre of square of side 1 m ? the changes 1 x 10^-8c , - 2 x 10^-8 c, 3 x 10^-8 c and 2 x 10^-8 c are placed at the corners

1)

From the information given,

x represents the day number

y represents the number of people who know about the opening on day x

On the first day, x = 0, y = 1

On the second day, x = 1, y = 3

On the third day, x = 2, y = 9

The rate at which the number of people is increasing is exponential. The general form of an exponential equation is

y = ab^x

We would find a and b by substituting corresponding values of x and y into the equation. We have

For x = 0 and y = 3,

3 = ab^0

a = 3

For x = 1 and y = 3,

3 = ab^1

By substituting a = 3,

3 = 3b

b = 3/3 = 1

The equation is

The solutions to the given equation on the interval 0≤x<2π. −8sin(5x)=−4√ 3 The solutions to the equation -8sin(5x) = -4√3 on the interval 0 ≤ x < 2π are:

x = π/3 and x = 2π/3.

To find the solutions to the equation -8sin(5x) = -4√3 on the interval 0 ≤ x < 2π, we can start by isolating the sine term.

Dividing both sides of the equation by -8, we have:

sin(5x) = √3/2

Now, we can find the angles whose sine is √3/2. These angles correspond to the angles in the unit circle where the y-coordinate is √3/2.

Using the special angles of the unit circle, we find that the solutions are:

x = π/3 + 2πn

x = 2π/3 + 2πn

where n is an integer.

Since we are given the interval 0 ≤ x < 2π, we need to check which of these solutions fall within that interval.

For n = 0:

x = π/3

For n = 1:

x = 2π/3

Both solutions, π/3 and 2π/3, fall within the interval 0 ≤ x < 2π.

Therefore, the solutions to the equation -8sin(5x) = -4√3 on the interval 0 ≤ x < 2π are:

x = π/3 and x = 2π/3.

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The code is DHGB.

We are given four puzzles.

1. The equation of the line is : -4x + 2y = 8. The slope of the line is 2. We need to find the parallel line. The slope will be the same. The equation of the parallel line is y = 2x - 5. The code letter is D.

2. The slope of the line is [(3-2)/(0-3)] = -1/3. We need to find the perpendicular line. The slope will be the negative reciprocal. The slope of the perpendicular line is 3. The equation of the perpendicular line is y = 3x - 2. The code letter is H.

3. The slope of the line is [(2-(-2)/(0-(-1)] = 4. We need to find the parallel line. The slope will be the same. The equation of the parallel line is y = 4x - 7. The code letter is G.

4. The equation of the line is : 3x + y = 1. The slope of the line is -3. We need to find the perpendicular line. The slope will be the negative reciprocal. The slope of the perpendicular line is 1/3. The equation of the perpendicular line is y = (1/3)x + 2. The code letter is B.

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56 degrees is the solution  to the unknown value of x in the triangle.

The given diagram is a triangle with interior angle x and exterior angle y and z.

Given the following parameters

y = 95 degrees

z = 321 degrees

In order to determine the value of x from the diagram;

x+(180-y)+(360-z) = 180

x + 180 - y + 360-z = 180

x - y - z = -360

x - 95 - 321 = -360

x - 416 = -360

x = 416 - 360

x = 56 degrees

Hence the measure of the angle 'x' from the diagram is 56 degrees.

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The expression in term of the exterior angle y is y = x-z+360

If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.

The exterior angle is y and the opposite angles are x and the 360-z

How do we come about 360-z?

The angle at a point is 360

Therefore the unknown angle there will be 360-z

therefore;

y = x+360-z

y = x-z+360

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the perimeter of the equilateral triangle with a side length of 12√3 is 36√3 units.

In order to find the perimeter of the given triangle, we have to find the side of the triangle. The altitude of the triangle  = 18 inches. Let us assume the side of the triangle as a. The formula for calculating the altitude of an equilateral triangle is : Altitude  =√3/2×a  (side)

18 =√3/2 × a

a = 18 × 2√3

a = 36√3

a = 36 ×√3 / √3×√3

a =36√3/3

a = 12√3 inches.

If the side of an equilateral triangle is 12√3, then all three sides of the triangle are of equal length, since it is an equilateral triangle. Therefore, the perimeter of the triangle is simply the sum of the lengths of its three sides. Since each side of the triangle has a length of 12√3, the perimeter is: Perimeter = 3 x (12√3) = 36√3.

Therefore, the perimeter of the equilateral triangle with a side length of 12√3 is 36√3 units.

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Answer:

36

Step-by-step explanation:

Let the total number of cotton candy = A

Number of blue cotton candy = 27 cones

Percentage of blue cotton candy = 75%

Therefore, the total number of cotton candy is calculated as:

27/A × 100 = 75%

2700/A = 75

Cross Multiply

75A = 2700

A = 2700/75

A = 36

Therefore, the amount of total cotton candy that we have is 36.

Answer:

\(5x = - 1 - 1 = 5x \div 5 = - 2 \div 5 = 2 \div 5\)

Answer:

151 ft

48 ft/s

Step-by-step explanation:

h(t)=-16t^2+v₀t+h₀

v₀ = 96  and

h₀ = 7

h(t)=-16t^2+96t+7

The maximum height is at the vertex

The x values of the vertex is at

x = -b/2a = -96/ (2*-16) = -96/-32 =3

Substitute this into the function to find the maximum height

h(3) = -16 ( 3)^2 +96*3+7

    -16*9 +288+7

     151

The maximum height is 151 ft

Average rate of change from 0 to 3

h(3) - h(0)

---------------

3-0

151 -7

------------

3

144/3

48ft/s

Answer:

19 - R = C

7

Step-by-step explanation:

Let R = the number of cars rented

Let C = the number of cars left

19 - R = C

19 - 12 = 7

Answer:

A figure formed by the segments determined by three noncollinear points . The three segments are called sides. The endpoints are called the vertices of the triangle. A triangle separates a plane into three parts, the triangle, its interior , and its exterior.

Step-by-step explanation:

Answer:

x equals 14

Step-by-step explanation:

If u plug in 14 as X. The equation would equal 180.

The standard form of a quadratic function is:

`f(x) = ax^2 + bx + c`

If the zeros of the function are 3 and 1/2, then the factors of the function are:

`(x - 3)` and `(x - 1/2)`

To find the quadratic function using these factors, you can first multiply them together:

`(x - 3)(x - 1/2) = x^2 - 7/2x + 3/2`

Now we have:

`f(x) = x^2 - 7/2x + 3/2`

This is the quadratic function in standard form that has zeros of 3 and 1/2.

Answer:

Step-by-step explanation:

Answer:Using the two functions listed below, insert numbers in place of the letters a, b, c, and d so that f(x) and g(x) are inverses. a=d=4 b=c=2 f(x)=x+4/2 g(x)=2x-4 Part 2. ... Graph your two functions on a coordinate plane

Step-by-step explanation:

Answer:

Step-by-step explanation:

The root which is 2 is the fractional portion of your exponent

\(\sqrt{x^{7} y^{12} }\)

=\((x^{7} y^{12} )^{\frac{1}{2} }\)              >You can distribute 1/2 to each term by multiplying

\(=x^{\frac{7}{2} } y^{6\)

According to the graph: midline is 2; amplitude is 3; period is 120°.