What is your dependent variable? (page 3 of investigation) question 2 options: temperature height ball bounces type of ball

1.39 is the median of the distribution

Creating a table:

X :___0 __ 1 __ 2 ___ 3 ____ 4 ___ 5 ___ 6

P(x):0.02_0.03_0.07, 0.12, 0.30_ 0.28_0.18.

The standard deviation = √(Var(x))

Var(x) = Σx²*p(x) - E(x)²

E(x) = ΣX*p(x)

E(x) = (0*0.02) + (1*0.03) + (2*0.07) + (3*0.12) + (4*0.30) + (5*0.28) + (6*0.18) = 4.21

Var(X) :

\(((0^2*0.02) + (1^2*0.03) + (2^2*0.07) + (3^2*0.12) + (4^2*0.30) + (5^2*0.28) + (6^2*0.18)) - 4.21^2\)

19.67 - 17.7241

= 1.9459

Standard deviation = √(Var(X))

Standard deviation = √(1.9459)

Standard deviation = 1.3949551

= 1.39

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Full Question ;

Hannah has a chicken coop with 6 hens. Let X be the total number of eggs the hens lay on a randomly chosen day. The distribution for X is given in the table.

A 2-column table with 7 rows. Column 1 is labeled number of eggs with entries 0, 1, 2, 3, 4, 5, 6. Column 2 is labeled probability with entries 0.02, 0.03, 0.07, 0.12, 0.30, 0.28, 0.18.

What is the standard deviation of the distribution?

1.39

1.95

2.16

4.67

Answer:

h=1.3056 m

Step-by-step explanation:

L=2.5m

w=L(1 + 9/16)

w=2.5(1 + 9/16)=\(\frac{125}{32}\) m=3 \(\frac{29}{32}\)m

v=Lwh

12.75m³=(2.5m)(\(\frac{125}{32}\)m)h

12.75m³=(9.765625m²)h

\(\frac{12.75m^{3} }{9.765625m^{2} }\)=h

h=1.3056 m

Answer:

3 3/16

Step-by-step explanation:

If:

Length= 2 1/2

Width=2 1/2 divided by 1 9/16= 1 3/5

Volume=12 3/4

So then, 2 1/2 times 1 3/5=4

12 3/4 divided by 4= 3 3/16

Done!

The answer to this question is 32

Answer:

32

Step-by-step explanation:

An equation of the plane through the origin and parallel to the plane 3x - y + 3z = 4 is 3x - y + 3z = 0.

To find an equation of the plane through the origin and parallel to the plane 3x - y + 3z = 4, we can use the fact that parallel planes have the same normal vector.

Step 1: Find the normal vector of the given plane.
The normal vector of a plane with equation Ax + By + Cz = D is . So, in this case, the normal vector of the given plane is <3, -1, 3>.

Step 2: Use the normal vector to find the equation of the parallel plane.
Since the parallel plane has the same normal vector, the equation of the parallel plane passing through the origin is of the form 3x - y + 3z = 0.

Therefore, an equation of the plane through the origin and parallel to the plane 3x - y + 3z = 4 is 3x - y + 3z = 0.

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fluid velocity vector is given by `v = 2yi + 10xj` and point (1, 3) lies on streamline.Now, the equation of a streamline is given bydx/vx = dy/vy = ds/|v|Where, `ds` is an infinitesimal line element on the streamline.

We have to find the equation of the streamline passing through the point (1, 3) which is given as (x, y) = (1, 3) and the fluid velocity vector `v` is given by `v = 2yi + 10xj`.Now, vx = 10x and vy = 2yds/vx = dy/vyds = |v|/vx dxds = (10x) dx / (2y)ds = 5x/y dxdy = (2y) ds / (10x)dy = x/5y dxdy = 2yds / 10xdy/dx = 2y/10x = y/5xIntegrating the above equation, we get:y2/2 = (1/5) x2 + c, where c is constant. Since the streamline passes through the point (1, 3), we have 1/2 (3)² = (1/5) (1)² + c9/2 = 1/5 + c => c = 43/10 Therefore, the equation of the streamline passing through the point (1, 3) is given by:y² = (2/5) x² + 43/10.Hence, the required equation of the streamline is `y² = (2/5) x² + 43/10`.

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The transformation applied to function h(x) is a translation of 3 units upwards.

For a function f(x), we can define a vertical translation of N units as:

g(x) = f(x) + N

This will move the graph of f(x) N units vertically.

Here we start with the function h(x) = 0.8*x

And we want to see which transformation will give us g(x) = 0.8*x + 3

We are just adding 3, so this is a translation of 3 units upwards.

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In the triangle the line segment joining the midpoints 'S' and 'T' of the sides PQ and PR implies that ST || QR.

As given in the question,

Diagram is attached.

As per the attached diagram  we have,

Given : In triangle PQR with midpoints S and T of sides PQ and PR respectively.

To prove : ST is parallel to QR.

Proof : First construct a line through R parallel to PQ such that it meet the extended line of ST at point 'U'

In triangle PST and triangle RTU,

PQ|| RU and SU is the transversal

∠PST ≅ ∠RUT ( alternate angles )

∠PTS ≅ ∠RTU ( vertically opposite angles)

PT ≅TR ( 'T' is the midpoint of PR )

By AAS we have

ΔPST ≅ΔRTU

By congruent part of congruent triangle we have,

PS ≅ RU

⇒ SQ ≅ RU

In quadrilateral QSUR,

SQ ≅ RU

SQ || RU ( as PQ || RU by construction )

Quadrilateral with one pair of opposite side congruent and parallel implies it is a parallelogram.

Quadrilateral QSUR is a parallelogram.

⇒ SU || QR

S - T - U

⇒ ST is parallel to QR

Therefore, in the given triangle line segment formed by joining the midpoints of the other two sides is parallel to third side.

The above question is incomplete , the complete question is :

Prove theorem 8.9 : The line segment joining the midpoints of the two sides of the given triangle is parallel to the third side .

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The numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾. The third option is correct.

The ordering of numbers refers to arranging numbers in a specific sequence based on their magnitude or value. The ordering of numbers is determined by their relative values. Comparisons are made between numbers to determine their position in the order.

12⅝ = 101/8 = 12.645

12.62 = 12.62

√146 = 12.0830

12.39 = 12.39

12¾ = 51/4 = 12.75

Therefore, the numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾.

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The name of the segment inside the large triangle is called the: 3. angle bisector.

The word "bisect" means to divide into two equal halves. Therefore, an angle bisector can be defined as a line segment that divides the an angle in a triangle into two parts that are of the same angle measure.

The image shows a triangle which has a segment that divides a vertex angle into equal parts. Thus, the segment can be named as an angle bisector.

A perpendicular bisector divides a segment into two equal halves at right angle, while a midsegment joins the middle points of two sides of a triangle. The median also, is a segment that joins a vertex of a triangle to the midpoint of the side that is opposite the angle.

Therefore, we can state that the name of the segment is: 3. angle bisector.

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Answer:

brackets, then Parenthesis then the FIRST Multiplication then the division and then math and sub and so on a so for

Step-by-step explanation:

If you multiplied out 82!, it would end in 19 zeros by factoring out from the product of all integers from 1 to 82.

To determine the number of zeros at the end of 82!, we need to find the number of times 10 can be factored out from the product of all integers from 1 to 82.

This is because a zero is created whenever a factor of 10 is present in a number, which occurs when a multiple of 10 or a multiple of 5 and 2 is present in the product.

We can find the number of multiples of 5 and 2 by dividing 82 by 5 and then by 25, since each multiple of 5 contributes at least one factor of 5 and each multiple of 25 contributes an additional factor of 5.

82 ÷ 5 = 16 with a remainder of 2, so there are 16 multiples of 5 between 1 and 82.

82 ÷ 25 = 3 with a remainder of 7, so there are 3 multiples of 25 between 1 and 82.

Therefore, the total number of factors of 5 in 82! is 16 + 3 = 19. Since every factor of 5 can be paired with a factor of 2, there will always be enough factors of 2 to create a factor of 10. Thus, there are 19 zeros at the end of 82!.

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Answer:

36

Step-by-step explanation:

3x+6= 8x-11

3x-8x= -11-6

-5x= -17x

x= 3  2/5

10x+2= 10(3  2/5)+2

         = 34+2

         = 36

The given expression is a simplified algebraic equation: (1/2) * a^2 - 3b + 2c. It represents a combination of variables a, b, and c with their respective coefficients.

Utilizing symbols and operations, an algebraic equation illustrates the equivalence or inequivalence of two expressions. These generated expressions may hold variables that have varying values.

The premise centered around calculus is to arrive at a solution by acquiring the correct value(s) of these variable(s), ultimately fulfilling the outlined specification in the problem. Algebraic equations can range from uncomplicated linear problems to elaborate polynomials and trigonometric functions.

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The ratio of \(r:s = 1:3\).

Label our triangle ABC where,

AB=17, AC=13, and BC=8.

Let L, J, and K be the tangency points of BC, AC, and AB respectively.

Let \(AK=x\), which implies \(AJ=x\). Thus \(KB=BL=17-x\) and \(JC=LC=13-x\)

\(\because BL+LC = (17-x)+(13-x) = 8 & x = 11\)

\(\therefore r:s = CL:BL = 13-x:17-x = 2:6\)

\(\text{Hence, } r:s = 1:3\)

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The user cost of capital for that machine over one year is \(\$1,700.\)

The user cost of capital represents the economic cost incurred by a company for using a machine or capital asset. It takes into account both the opportunity cost of the capital invested and the depreciation of the asset over time.

In this scenario, the machine initially costs \(\$10,000\) in constant dollars, which means it is the real price adjusted for inflation. The real rate of interest is given as \(12\%\), which represents the cost of borrowing or the opportunity cost of using the capital for other investments.

The machine is expected to increase in price by \(2\%\) due to inflation, and the rate of depreciation is \(5\%\) which represents the decrease in the value of the machine over time.

To calculate the user cost of capital over one year, we add the real rate of interest and the rate of depreciation, and multiply it by the initial machine value:

\(User cost of capital = (0.12 + 0.05) * \$10,000 = 0.17 * \$10,000 = \$1,700\)

Therefore, the user cost of capital for that machine over one year is \(\$1,700.\)

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The surface integral of the function g(x, y, z) over the surface S is evaluated.

To evaluate the surface integral, we consider the rectangular prism formed by the coordinate planes and the planes x = 2, y = 2, z = 3. This prism encloses a six-sided surface S. The surface integral of a function over a surface measures the flux or flow of the function across the surface.

In this case, we are integrating the function g(x, y, z) over the surface S. The specific form of the function g(x, y, z) is not provided in the given question. To evaluate the surface integral, we need to know the expression of g(x, y, z).

Once we have the expression for g(x, y, z), we can set up the integral by parameterizing the surface S and calculating the dot product of the function g(x, y, z) and the surface normal vector. The integral will involve integrating over the appropriate range of the parameters that define the surface.

Without the specific expression for g(x, y, z) or further details, it is not possible to provide the exact numerical evaluation of the surface integral. However, the general procedure for evaluating a surface integral involves parameterizing the surface, setting up the integral, and then performing the necessary calculations.

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Answer:

A

Step-by-step explanation:

Answer:

A) y ≥ 350x + 17,000

Step-by-step explanation:

If 17,000 is the original, you won't multiply or divide it by x. But since it goes up by at least 350 each year you will multiply by x.

So to set it up, you will have 350x + 17,000, and since it's at least, you will have a great than or equal to sign (≥)

y ≥ 350x + 17,000

Answer:

Step-by-step explanation:

are the what???

Answer:

B. 7−10; 11−14; 15−18; 19−22

Step-by-step explanation:

Answer:

mm

Step-by-step explanation:

Answer:

19.59≈20

Step-by-step explanation:

Have a nice day

Using Pythagoras Theorem we can find the 3rd side of a right angled triangle.

Steps are there in the image I attached.

Hope it helps you...

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The mean of a observed values approaches the population mean more and more as the number of data points gathered rises.

The average calculated from the group members, distribution, or population is known as the population mean.

Thus, choose a population with a finite mean and a random sample of observations. The mean of a observed values approaches the population mean to a greater extent as the number of data gathered rises.

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Answer:

x = 47/7 or 6.714

Step-by-step explanation:

7 (x+3) = 72-4

7x + 21 = 68

7x = 68 - 21

7x = 47

x = 47/7 or 6.714

Answer:

64 ways

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

If you visualize that 1 person can line up in 8 different ways, by being first in line, second, third, etc. there are 8 possible ways 1 person can line up, so multiply that by the # of people which is 8.

The topologies {∅, {x}, {y}, {z}, {x, y, z}} and {∅, {x}, {y}, {z}, {x, y}, {y, z}, {x, z}} satisfy both the Frechet and Hausdorff properties.

To find all possible topologies of the space  = {x, y, z}, we need to consider all the possible subsets of this set. Since the set has three elements, there are 2^3 = 8 possible subsets.
The possible topologies are as follows:
1. {∅, {x, y, z}}: This is the trivial topology, where the whole set and the empty set are the only open sets.
2. {∅, {x}, {y}, {z}, {x, y, z}}: This is the discrete topology, where every subset of the set is open.
3. {∅, {x}, {y}, {z}, {x, y}, {y, z}, {x, z}, {x, y, z}}: This is the indiscrete or trivial topology, where only the whole set and the empty set are open.
4. {∅, {x}, {y}, {z}, {x, y}, {y, z}, {x, z}}: This is a topology that is not discrete or indiscrete.

To determine which of these topologies satisfy the Frechet property and the Hausdorff property, we need to consider the limit points and the ability to separate points, respectively.
The Frechet property states that for every point x in a set A, there exists a sequence of points in A that converges to x. In other words, every point is a limit point.
The Hausdorff property states that for any two distinct points x and y in a set A, there exist disjoint open sets U and V such that x is in U and y is in V. In other words, every pair of distinct points can be separated by open sets.

Let's analyze each topology:
1. {∅, {x, y, z}}: This topology does not satisfy the Frechet or Hausdorff property because it does not have any limit points or allow for the separation of points.
2. {∅, {x}, {y}, {z}, {x, y, z}}: This topology satisfies both the Frechet and Hausdorff properties. Any point x can be approached by the sequence (x), and any two distinct points can be separated by open sets.
3. {∅, {x}, {y}, {z}, {x, y}, {y, z}, {x, z}, {x, y, z}}: This topology does not satisfy the Frechet or Hausdorff property because it does not have any limit points or allow for the separation of points.
4. {∅, {x}, {y}, {z}, {x, y}, {y, z}, {x, z}}: This topology satisfies both the Frechet and Hausdorff properties. Any point x can be approached by the sequence (x), and any two distinct points can be separated by open sets.

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To find the speed at which the Salisbury family was driving, we can use the formula: Speed = Distance / Time. So, the Salisbury family was driving at a speed of 89 kilometers per hour.

The distance they traveled is the difference between their initial distance from home (750 km) and their distance from home after 4 hours (394 km):
Distance = 750 km - 394 km = 356 km
The time they took to cover this distance is 4 hours.

Now we can calculate the speed:
Speed = 356 km / 4 h = 89 km/h
Therefore, the Salisbury family was driving at a speed of 89 kilometers per hour.

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Answer:

An equilateral triangle is one with all three sides the same length. It begins with a given line segment which is the length of each side of the desired equilateral triangle. ... It is similar to the 60 degree angle construction, because the interior angles of an equilateral triangle are all 60 degrees.

Step-by-step explanation:

The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

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Answer:

3 wholes 2/5

I hope this helps you!