Please help me with the following question

When the sum of the squared deviation scores is SS=20 for a population n=5 scores, then the variance for this population is 4

Given,

The sum of the squared deviation scores SS= 20

Population of n= 5

Then the variance = SS/n

Substitute the values in the equation

The variance = \(\frac{20}{5}\)

=4

Hence, when the sum of the squared deviation scores is SS=20 for a population n=5 scores, then the variance for this population is 4

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To create a square with 50px sides, we need to draw four lines that are each 50px long and perpendicular to one another.

A square is a quadrilateral (a four-sided shape) with four equal sides and four equal angles of 90 degrees each. To create a square with 50px sides, we need to follow a few steps.

Step 1: Draw a line that is 50px long using a ruler or any other measuring tool.

Step 2: At the end of the line, draw a second line that is also 50px long and perpendicular to the first line. This will form the first side of the square.

Step 3: From the end of the second line, draw a third line that is also 50px long and perpendicular to the second line. This will form the second side of the square.

Step 4: Finally, draw a fourth line that is 50px long and perpendicular to the third line, connecting back to the starting point of the first line. This will form the remaining two sides of the square.

By following these steps, you have successfully created a square with 50px sides.

In summary, a square is a four-sided shape with four equal sides and angles of 90 degrees each. The resulting shape will be a square with 50px sides.

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Answer:

5

Step-by-step explanation:

slopes of the parallel lines are always same this line has slope five

because equation in y intercept form is y=mx+b

where m is the slope.

so the slope of the new line will be five

Answer:

Each part is 56 11/15 m long.

Step-by-step explanation:

325 4/5 - 150 3/5

= 170 1/5

170 1/5 = 851/5

851/5 / 3

= 851/5 * 1/3

= 851/15

= 56 11/15.

The value of v in the variation is 21.1

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

Joint variation from p to s and v^2

So, we have

p = ksv^2

Substitute the known values in the above equation, so, we have the following representation

18 = k * 9 * 15^2

So, we have

k = 2/225

When s = 81 and p = 32, we have

32 = 2/225 * 81 * v^2

This gives

v^2 = 72000/162

So, we have

v = 21.1

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The intercept of the vertical axis, representing the number of movies, is 5.

To determine the intercept of the vertical axis of the budget constraint, we need to find the maximum number of movies you can purchase with your monthly budget of $34.

Since each movie costs $6, we can divide the total budget by the cost of each movie to find the maximum number of movies you can afford:

$34 / $6 = 5.67

Since you cannot purchase a fraction of a movie, the maximum number of movies you can buy is 5.

Therefore, the intercept of the vertical axis, representing the number of movies, is 5.

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Answer:

I cant understand..

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

You can see that the sides are both 6. That means that this triangle is an isosceles triangle.

Therefore do this:

180-58=122

122/2= 61

So x= 61 Degrees

Hope This helps! :)

Answer:

x = 61

Step-by-step explanation:

This triangle is an isosceles triangle which means 2 sides are congruent. This also means the 2 angles across from the congruent sides are congruent. So, you would subtract 58 from 180 which equals 122. Then you would divide that in half, which gets you 61. (The angle 58 is the one across from the side that is not congruent to the others. That is why I used it)

Answer:

degree 4

Step-by-step explanation:

The degree of a polynomial is determined by the largest exponent of the variable in the polynomial

3\(x^{4}\) is the term with the largest exponent

Then polynomial is of degree 4

A parametric description of the solution set of a linear system is the same as solving the system is the false statement.

If a linear system has at least one solution, only then can the solution set be stated using a parametric description. The set of ordered pairs that make up the solution to an equation with two variables is referred to as the solution set. You'll discover what a solution set is in this tutorial and witness an example. By combining two equations with two variables into one equation with one variable, we can solve a system of equations. Since there are two variables in each equation in the system, replacing a variable with an expression can help minimize the number of variables in an equation.

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Answer:

so legendary is twice epic

epic is twice rare

rare is 2.5 uncommon

uncommon twice common

Answer:

8 Possible Combinations

Step-by-step explanation:

Trust me my guy

Answer:

8

Step-by-step explanation:

Three ounces is equal to 85.064 grams.

To determine what three ounces looks like, it would be helpful to compare this weight to the weight of common objects. A cupped hand would typically hold three to four ounces of liquid, so three ounces would fit in a cupped hand. A deck of cards typically weighs around two ounces, so three ounces would be slightly more than a deck of cards. A baseball weighs approximately five ounces, so three ounces would be less than half of a baseball. A tennis ball weighs around two ounces, so three ounces would be slightly more than a tennis ball. A fist is typically filled with one to two ounces, so three ounces would be significantly more than a fist.

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Answer:

B) Inside the nucleus of an atom are protons and electrons.

Explanation:

Inside the nucleus of an atom are protons and neutrons. Electrons orbit (kind of?) away from the nucleus.

Answer:many

Step-by-step explanation:manymulti- a combining form meaning “many,” “much,” “multiple,” “many times,” “more than one,” “more than two,” “composed of many like parts,” “in many respects,” used in the formation of compound words: multiply; multivitamin.

Answer: 3/14

Step-by-step explanation:

The solution after multiplying is 238 \(y^2\)

We are given two terms which are polynomials. We need to multiply these two polynomials. The polynomials are 14 y and 17y. The result of adding, subtracting, multiplying, and dividing two polynomials is a polynomial only. Therefore, when we multiply 14 y and 17 y we will get a polynomial as a result.

Multiplying the given two terms;

14 y × 17 y

We will multiply the constants and variables separately and then combine the answer.

(14 * 17) ( y * y)

(238) (\(y^2\))

= 238 \(y^2\)

Therefore, when we multiply 14 y and 17 y, we get the polynomial answer as 238 \(y^2\).

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It would take approximately 0.47 years longer for Fatoumata's money to triple than for Josue's Money to triple.

To compare the time it takes for Fatoumata's money to triple with Josue's money to triple, we need to calculate the time it takes for each investment to grow by a factor of 3.

For Josue's investment, we can use the continuous compounding formula:

A = P * e^(rt)

Where:

A is the final amount (3 times the initial investment)

P is the principal amount (initial investment)

r is the interest rate (in decimal form)

t is the time (in years)

e is Euler's number (approximately 2.71828)

For Fatoumata's investment, we can use the compound interest formula:

A = P * (1 + r/n)^(nt)

Where:

A is the final amount (3 times the initial investment)

P is the principal amount (initial investment)

r is the interest rate (in decimal form)

n is the number of times the interest is compounded per year

t is the time (in years)

Let's calculate the time it takes for each investment to triple:

For Josue's investment:

3 * 3300 = 3300 * e^(0.075t)

Dividing both sides by 3300:

3 = e^(0.075t)

Taking the natural logarithm of both sides:

ln(3) = 0.075t

t = ln(3) / 0.075 ≈ 12.31 years

For Fatoumata's investment:

3 * 3300 = 3300 * (1 + 0.0775)^t

Dividing both sides by 3300:

3 = (1 + 0.0775)^t

Taking the logarithm of both sides:

log(3) = t * log(1 + 0.0775)

t = log(3) / log(1 + 0.0775) ≈ 12.78 years

To find the difference in time, we subtract the time it takes for Josue's investment from the time it takes for Fatoumata's investment:

12.78 - 12.31 ≈ 0.47 years

Therefore, it would take approximately 0.47 years longer for Fatoumata's money to triple than for Josue's money to triple.

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The number of different ways of distributing the scholarships is 32,760.


consider the situation: fifteen students are competing for 4 Rotary scholarships.
consider each scholarship  is to be a position In which a student assigned.
This is a permutation problem as:
   

A) each student selected from the same set.  
b) No students can be selected twice.
c) The order in which students are assigned to three scholarships.  

Four students  are assigned in 4 activities For scholarships.

Activity A1: select a student from the set of 15 students for giving away the first scholarship.

Activity A2: select a student from remaining 14 students for giving away the second scholarship.

Activity A3: select a  student from remaining 13 students for giving away the third scholarship.

Activity A4: Select a student from remaining 12 students for giving away the forth scholarship.

According to multiplication rule of accounting the number of different arrangements is  A1 X A2 X A3 X A4  
15 X 14 X 13 X 12=32760  

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Answer:

x=3

Step-by-step explanation:

To solve for x, get x alone on one side of the equation.

First, add 3 to both sides.

3 = 1/3x^2

Multiply each side by 3

x^2 = 9

Take the square root of both sides

x = + or - 3

You want the positive solution, so x = 3

The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

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Answer:

x = 3

Step-by-step explanation:

Jacob has 1/2 of a container of trail mix.

He is filling snack packs that each use about 1/6 of a container

We need to find the number of snack packs can Jacob make. Let he can make x snack packs.

\(\dfrac{1}{6}x=\dfrac{1}{2}\\\\x=3\)

Hence, he can make 3 snack packs.

Rounded to two decimal places, the time required for light to travel from the Sun to Earth is approximately 8.33 minutes.

To find the time required for light to travel from the Sun to Earth, we can use the formula:

Time = Distance / Speed

Given:

Distance = 1.5 × 10^11 meters

Speed of light = 3.0 × 10^8 meters per second

Substituting the values into the formula:

Time = (1.5 × 10^11) / (3.0 × 10^8)

Simplifying:

Time = 5 × 10^2 seconds

To convert this to minutes, we divide by 60:

Time = (5 × 10^2) / 60

Simplifying further:

Time ≈ 8.33 minutes

Rounded to two decimal places, the time required for light to travel from the Sun to Earth is approximately 8.33 minutes.

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Answer:

12-20x≥-400

-20x≥-400+12

-20x≥-388

x≥-388/-20

x≥194

Answer: 315.95

Step-by-step explanation: 3.55 x 89 = 315.95

The perimeter of the given figure is 89.12 inches.

Given that, the shape is made up of one half-circle attached to a square with side lengths 16 inches.

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

We know that, the perimeter of square is 4a, where a is side of a square.

When, a=16

The perimeter of square =4×16

= 64 inches

We have circumference of circle = 2πr

Circumference of a semi circle= πr

Here, radius(r)=8 inches

= 3.14×8

= 25.12 inches

Total perimeter = 64+25.12

= 89.12 inches

Therefore, the perimeter of the given figure is 89.12 inches.

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Answer:

100pi

Step-by-step explanation:

4*pi*5^2

=100pi

Answer:

100π

Step-by-step explanation:

SA = 4π(5²) = 25 · 4π or 100π

Answer:

Step-by-step explanation:

The area and perimeter of the given shaded figure are respectively 33.12 unit² and 20.56 units.

Area and perimeter-based problem:

What information do we have?

Radius of semi-circle = 8 / 2 = 4 unit

Length of remain Rectangle = 8 unit

Width of remain Rectangle = 2 unit

Perimeter of shaded figure = πr + (l + 2b)

Perimeter of shaded figure = (3.14)(4) + [4 + (2)(2)]

Perimeter of shaded figure = 12.56 + 4 + 4

Perimeter of shaded figure = 20.56 units

Area of shaded figure = πr²/2 + lb/2

Area of shaded figure = (3.14)(4)²/2 + (8)(2)/2

Area of shaded figure = (3.14)(8) + 8

Area of shaded figure = 25.12 + 8

Area of shaded figure = 33.12 unit²

Answer:

Perimeter:

\(about \: 12 \: \: units\)

Area:

\(about \: 21 \: {units} ^{2} \)

Step-by-step explanation:

The perimeter of this shape would be the value of all the sides added together. The sides measure: 4 units, 4 units, 1 unit, 1 unit, 1 unit, 1 unit. Therefore the perimeter is: 12 units

\(4 + 4 + 1 + 1 + 1 + 1 = 12\)

To find the area of the shape we have to split it into a square and 2 triangles. The formula to find the area of a square is

\(a = length \times width \: or \: {(side)}^{2} \)

All sides of a square are equal and the side measures 4 units, hence the area is

\({4} ^{2} = 16 \)

The formula to find the area of a triangle is

\( \frac{1}{2} base \: \times height\)

Both triangles are equal and as such after finding the area of one triangle you can just multiply it by 2. The base is 3 units and the height is 1.5 units.

\( \frac{1}{2} b \times h \\ \frac{1}{2} (3) \times 1.5 \\ 1.5 \times 1.5 = 2.25 \\ 2.25 \times 2 = 4.5\)

\(area \: or \: square \: + area \: of \: 2 \: triangles \\ 16 + 4.5 = 20.5 \: or \: 21 (whole\: number)\)

well, we know the angles at E and D are both 130°, and the other four angles are all equal hmmm let's call them hmmm "x".

\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n=6 \end{cases}\implies S=180(6-2)\implies S=720 \\\\[-0.35em] ~\dotfill\\\\ x+x+x+x+130+130~~ = ~~720\implies 4x+260=720 \\\\\\ 4x=460\implies x=\cfrac{460}{4}\implies x=115^o~~ = ~~\measuredangle BAF\)

The size of angle BAF in the hexagon ABCDEF is 92°. This is determined by applying the properties of regular hexagons and solving for the value of x, which represents angle BAF.

To find the size of angle BAF in the hexagon ABCDEF, we'll use the information given and apply the properties of regular hexagons and the angles of triangles.

Given information:

Angle BAF = Angle ABC = Angle AFE = Angle BCD (let's call this angle x).

Angle DEF = Angle CDE = 130°.

Since the sum of the interior angles of a hexagon is (6-2) × 180° = 720°, we can write the equation:

x + x + 130° + x + x + 130° = 720°

Simplify the equation:

5x + 260° = 720°

Now, solve for x:

5x = 720° - 260°

5x = 460°

x = 460° / 5

x = 92°

Now that we have the value of angle x, which is 92°, we can find angle BAF:

Angle BAF = x = 92°

So, the size of angle BAF is 92°.

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