How do you solve 9!/5! ?

The group with a standard deviation of 4.5 has greater dispersion .

The standard deviation is a measure of the amount of variation or dispersion in a set of data. It is a measure of how far each data point is from the mean (average) of the set.

The standard deviation is calculated as the square root of the variance, which is the average of the squared differences between each data point and the mean. The. A larger standard deviation indicates a greater dispersion of the data.

In this case, the group with a standard deviation of 4.5 has greater dispersion than the group with a standard deviation of 3.7, so the group with a standard deviation of 4.5 has greater dispersion.

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1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:

Volume = 3 cm x 3 cm x 3 cm = 27 cm³.

Therefore, the volume of the cube is 27 cubic centimeters.

1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:

Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.

Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:

Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.

Therefore, the mass of the water cube is 27 grams.

1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.

Therefore, the weight of the water and the ice would be the same under the same conditions.

1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.

When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.

In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

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The volume of the triangular region with vertices (0,0), (1,0), and (0, 1). Cross-sections perpendicular to the y-axis are isosceles triangles with height 3 is V = 3/4.

The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.

Various forms have various volumes. We have studied the several solids and forms that are specified in three dimensions, such as cubes, cuboids, cylinders, cones, etc., in 3D geometry.

From the given vertices we can write the equation of the base of the triangular region as:

x = 1 - y

The area of the triangular region is given as:

A = 1/2 (b)(h)

A = 1/2 (1-y)(3)

The volume of the region is calculated by taking the integration of the area:

\(V = \int\limits^1_0 {\frac{3}{2} [1 - y] } \, dx\\\\V = \frac{3}{2} [y - \frac{y^2}{2} ]_0^1\)

Substituting the values of the limit we have:

V = 3/2 [ 1 - 1/2]

V = 3/2 [1/2]

V = 3/4

Hence, the volume of the triangular region with vertices (0,0), (1,0), and (0, 1). Cross-sections perpendicular to the y-axis are isosceles triangles with height 3 is V = 3/4.

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Answer:

The answer is 7

Step-by-step explanation:

Step-by-step explanation:

\( - 1 \: is \: the \: answer\)

Solution is in attachment !

Quotient :

Remainder :

Answer: The expression that represents the perimeter, in centimeters, of the rectangle=20p + 11 centimeters

Step-by-step explanation:

Perimeter of a rectangle = 2(l+w)

length measures (8p+8)centimetres.

width  measures (2p-5) centimeters,

Such that Perimeter= 2 L +2 W

Perimeter= 2( 8p+8) + 2(2p-5 )      This gives the expression to solve for the Perimeter

Solving

Perimeter= 2( 8p+8) + 2(2p-5 )

Permeter= 16p+ 16+ 4p-5

 Perimeter=   16p+4p+16-5

Perimeter= 20p + 11 centimeters

Answer:

exActual room size: 8 ft 7 in x 5 ft 2 in

Convert to inches, actual room size: 103 in x 62 in

103" x 62"= 6386 inches / 144 (1 sf) = 44.50 sf + waste factor (44.50 x 1.10) = 49 sf

The same method is used when measuring walls. Measure the area to be tiled on each wall. Add them together and figure the square footage. Add your waste factor and this is the amount needed.

Most vertical applications will require trim pieces which have finished edges, this requires a linear measurement. Trim pieces will be used:

1. Where a tiled surface ends on an open wall leaving an exposed tile edge,

2. Where a vertical surface meets a horizontal, like on the edge of a countertop,

3. Where a vertical surface turns a corner, like on the outside corner of a wall.

Trim pieces and decoratives are typically sold by the piece. To figure the quantity you have to establish the length of the trim piece (i.e. 6" bullnose, 8" decorative liner), then the rule is: Linear Inches/Piece Length = Quantity

Answer:

j≥-4

Step-by-step explanation:

HSHSHDJENDBDK SORRY IF THIS IS WRONG THIS IS MY FIRST TIME

The equation of a tangent line to a curve is used to find the slope of the curve at a specific point. The slope of a curve is calculated by finding the first derivative of the curve. The slope of the curve at a specific point is equal to the slope of the tangent line at that point.For question 3: f(x)=2x³ +5x² +6, at (-1,9).

We will plug in the x and y values of the point (-1, 9) and the slope value to get the equation of the tangent line.y - y1 = m(x - x1)y - 9 = (6(-1)² + 10(-1))(x + 1)y - 9 = (-4)(x + 1)y - 9 = -4x - 4y = -4x + 5For question 4: f(x) = 4x - x², at (1, 3)To find the slope of the curve at (1, 3), we will take the derivative of the function f(x).f(x) = 4x - x²f’(x) = 4 - 2xNow that we have found the slope, we can use the point-slope form to find the equation of the tangent line.y - y1 = m(x - x1)y - 3 = (4 - 2(1))(x - 1)y - 3 = 2(x - 1)y - 3 = 2x - 2y = 2x - 6In conclusion, The equation of the tangent line, in slope-intercept form, to the curve f(x)=2x³ +5x² +6 at (-1,9) is y = -4x + 5 and the equation of the tangent line, in slope-intercept form, to the curve f(x) = 4x - x² at (1, 3) is y = 2x - 6.

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The equation of the tangent line to the curve f(x) = 2x³ + 5x² + 6 at (-1, 9) is y = -4x + 5.The equation of the tangent line to the curve f(x) = 4x - x² at (1, 3) is y = 2x + 1.

To find the equation of the tangent line to a curve at a given point to find the derivative of the function and evaluate it at the given point.

Curve: f(x) = 2x³ + 5x² + 6, Point: (-1, 9)

The derivative of the function f(x)

f'(x) = d/dx(2x³ + 5x² + 6)

= 6x² + 10x

The slope of the tangent line at x = -1 by evaluating the derivative at x = -1

f'(-1) = 6(-1)² + 10(-1)

= 6 - 10

= -4

The slope of the tangent line is -4 the point-slope form of a line (y - y₁ = m(x - x₁)) to find the equation of the tangent line.

y - 9 = -4(x - (-1))

y - 9 = -4(x + 1)

y - 9 = -4x - 4

y = -4x + 5

Curve: f(x) = 4x - x² Point: (1, 3)

The derivative of the function f(x)

f'(x) = d/dx(4x - x²)

= 4 - 2x

The slope of the tangent line at x = 1 by evaluating the derivative at x = 1

f'(1) = 4 - 2(1)

= 4 - 2

= 2

The slope of the tangent line is 2. Using the point-slope form of a line find the equation of the tangent line.

y - 3 = 2(x - 1)

y - 3 = 2x - 2

y = 2x + 1

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Answer:

126

Step-by-step explanation:

There are 9 city council members.

We have to choose 4 of them.

We have to use the combination as :

\($^9C_4$\)

where, 9 is the population size

4 is the sample size.

Therefore, the total number of possible samples without replacement is given as :

\($^9C_4=\frac{9!}{4!(9-4)!}$\)

      \($=\frac{9!}{5! \ 4!}$\)

     \($=\frac{9 \times 8 \times 7 \times 6}{4 \times 3 \times 2 \times 1}$\)

    = 126

The common denominator of both fractions is; 8 and the result of the fractions addition is; Choice B; 9/8.

It follows from the task content that the result of her fraction addition is to be determined.

Since the given expression which is to be evaluated is; 1/2 + 5/8.

However, the common denominator of both fractions is 8 which is the LCM of both denominators.

Therefore, the fractions can be written as follows;

4/8 + 5/8

= (4 + 5) / 8

= 9 / 8.

The result of the fraction addition is therefore; 9 / 8.

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Answer:

$28,656.82

Step-by-step explanation:

I used the compound interest calculator

A = P(1 + r/100)ⁿ

where A = amount accrued, P = investment amount r = rate% and n = number of years

r = 8.82% = 8.82/100 = 0.082 so 1 + r/100 = 1.0882

\(\\A = P(1.0882)^{16.7} = \$37,893.87\\\\\mathrm {Interest} = \$37,893.87 - \$9237.05 = \$28,656.82\)

Answer:

$28,656.82

Step-by-step explanation:

Annual Compound Interest Formula

\(\large \text{$ \sf I=P\left(1+r\right)^{t} -P$}\)

where:

Given:

Substitute the given values into the formula and solve for I:

\(\implies \sf I=9237.05(1+0.0882)^{16.7}-9237.05\)

\(\implies \sf I=9237.05(1.0882)^{16.7}-9237.05\)

\(\implies \sf I=9237.05(4.1023777...)-9237.05\)

\(\implies \sf I=37893.8685...-9237.05\)

\(\implies \sf I=28656.8185...\)

Therefore, the amount of interest that will be earned after 16.7 years is $28,656.82 (nearest cent).

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Answer:

30

Step-by-step explanation:

2/3 = .6

18/.6 = 30

Answer:

27

Step-by-step explanation:

If you want to divide a fraction, you have to divide it from it's reciprocal.

The reciprocal of 2/3 is 3/2.

Now, you have to multiply 3 and 18

18 x 3/2 = 54/2

54 divided by 2 is 27.

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The number 7,656,565 consists of seven digits. To calculate the number of ways these digits can be arranged, we can use the concept of permutations.

The total number of arrangements can be found by considering that each digit can occupy a different position, without repetition. Therefore, the number of ways to arrange the digits in 7,656,565 can be determined.To calculate the number of arrangements, we start by considering that there are seven digits in the number 7,656,565. Each digit can be placed in a different position, without repetition. In other words, we have seven choices for the first digit, six choices for the second digit (as one digit has already been placed), five choices for the third digit, and so on.

Using the concept of permutations, we can calculate the total number of arrangements by multiplying these choices together. Therefore, the number of ways to arrange the digits in 7,656,565 can be found as 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040.Hence, there are 5040 different ways in which the digits in the number 7,656,565 can be arranged.

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Answer:

y=33 z=69

Step-by-step explanation:

Answer:

A: -6

Step-by-step explanation:

To find f(-7), we need to substitute -7 for x in the given function f(x) = 2x + 8. This gives us:

f(-7) = 2(-7) + 8

To evaluate this expression, we can first compute 2(-7) = -14, and then add 8 to get:

f(-7) = -14 + 8

f(-7) = -6

Thus, the value of f(-7) is -6, so the correct answer is option A: -6.

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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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The prοbability οf selecting a yellοw ball οut οf the bag οn the first try is 5/18.

Let's use the variable y tο represent the prοbability οf selecting a yellοw ball οn the first try.

We knοw that the prοbability οf selecting a green ball is 1/6, sο the prοbability οf selecting a nοn-green ball is:

1 - 1/6 = 5/6

We alsο knοw that the prοbability οf selecting a white ball is twice the prοbability οf selecting a yellοw ball, sο:

P(white) = 2P(yellοw)

We can express the prοbability οf selecting any nοn-green ball in terms οf y as fοllοws:

P(nοn-green) = P(white) + P(yellοw) = 2P(yellοw) + P(yellοw) = 3P(yellοw)

The sum οf the prοbabilities οf all pοssible οutcοmes is 1, sο we have:

P(green) + P(nοn-green) = 1

Substituting the values we have derived, we get:

1/6 + 3P(yellοw) = 1

Sοlving fοr P(yellοw), we get:

3P(yellοw) = 5/6

P(yellοw) = 5/18

Therefοre, the prοbability οf selecting a yellοw ball οut οf the bag οn the first try is 5/18.

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Answer:

3. C or 18.

4. Perimeter: 10 Area: 6.25

5. 3 and 16

Step-by-step explanation:

3. Because the area of a triangle is 1/2 the base times the height if you double the area you can divide this total area by one side to find the length of the other side. In this problem that is 72*2 which is 144. Then dividing 144/8 you get 18, which is answer choice C.

4. Since a square has 4 sides that are all the same, you only need to know one side length to know them all. Multiplying one side length (2.5) by itself will get you the are of the square as a whole. Doing this (2.5 multiplied by 2.5 gets the area of 6.25.

For the perimeter calculation use the formula for a perimeter of a square which is one side (2.5) multiplied by 4 is 10, which is the perimeter.

5. This is because 3*16 is 48 or the area of the rectangle.

Based on the information on the number line, the numbers that represent the percentages are: 42 (100%), 21 (50%), 63 (150%).

To calculate the number that is equivalent to each percentage we must carry out the following procedure: Rule of three. In this case we must take into account that 42 represents 100% of the people.

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Answer:

the answer is 10,000

Step-by-step explanation:

i don't know

I think you do this

how many numbers times itself to the length of the code.

Answer:

94

Step-by-step explanation:

i might be wrong

Answer:

1,025 divided by 25 = 41

Step-by-step explanation:

The number of terms required to achieve a desired accuracy in finding the sum of a series depends on the specific series and the level of accuracy desired. In general, as we add more terms to the series, the approximation of the sum improves, leading to a higher level of accuracy.

To understand how many terms are needed to find the sum with a given accuracy, let's consider an example. Suppose we have an infinite series represented as:

S = a + b + c + d + ...

where 'a', 'b', 'c', 'd', and so on are the terms of the series.

To find the sum of this series, we can take partial sums by adding a certain number of terms. For example, if we add only the first two terms, we get S2 = a + b. If we add the first three terms, we get S3 = a + b + c. The more terms we add, the closer the partial sum gets to the actual sum of the series.

The accuracy of our approximation is determined by the difference between the partial sum and the actual um. To specify the desired accuracy, we can define an error tolerance or a maximum allowable difference between the partial sum and the actual sum.

For instance, if we want our approximation to be accurate within a certain threshold, say ε, we need to find the smallest number of terms that make the difference between the partial sum and the actual sum less than ε.

The number of terms required to achieve the desired accuracy will depend on the convergence properties of the series. Some series converge rapidly, meaning that adding a few terms yields a very accurate approximation, while others converge slowly, requiring a larger number of terms for the same level of accuracy.

To determine the number of terms needed, we can use convergence tests specific to the series at hand. These tests include the Ratio Test, the Root Test, and the Comparison Test, among others. These tests help us determine whether a series converges or diverges and provide insights into its convergence rate.

In summary, the number of terms required to find the sum of a series with a given accuracy depends on the specific series and the desired level of accuracy. By using convergence tests and considering the error tolerance, we can estimate the number of terms needed to achieve the desired accuracy in approximating the sum of the series.

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Answer:

Hi!

Yes, Jada is correct. If you evaluate the equation from left to right, you will see that the answer is 0.

I hope this helped you! :)

Answer: 4^3, and 5^2. This is the answer.

Step-by-step explanation:

Using the given graph we can answer the questions:

a. The parabola opens upward.

b. The coordinates of the vertex, which is the point at the bottom of the parabola, are (2,1).

c. The equation of the axis of symmetry is x=2.

d. The y intercept is 5.

The graph has no x intercepts.

Answer:

heart

Step-by-step explanation:

Answer:

It would be the heart <3

Step-by-step explanation: