what is the sum of the infinite geometric series?25 minus 10 plus 4 minus eight fifths plus continuing the series diverges.

Answers

Answer 1

Answer:

Geometric Sequence

Finding the sum

The sum of the infinite geometric series 3/4 -9/16+27/64 -81/256+ ...is 3/7.

Solution:

Geometric Series Sum Formula: S = a₁/1 - r

Given: a₁ = 3/4

          a₂ = -9/16

          a₃ = 27/64

          a₄ = -81/256

1. Find the common ratio.

      a_n = a₁r ⁿ ⁻ ¹

       a₂  = a₁r ⁿ ⁻ ¹

  -9/16 = 3/4 r ² ⁻ ¹

  -9/16 = 3/4 r

2. Divide both sides of the equation by 3/4 to find r.

   -9/16/3/4 = 3/4 r/3/4

 (-9/16)(4/3) = r

       -36/48 = r

           -3/4 = r

3. Using r = -3/4, find the sum of the infinite geometric series 3/4 -9/16 +27/64 -81/256+ ...

   S = a₁/1 – r

   S = 3/4/1 – (-3/4)

   S = 3/4/1 + ¾

   S = 3/4/4/4  + 3/4

   S = 3/4/7/4

   S = (3/4)(4/7)

   S = 12/28

   S = 3/7

4. Therefore, the sum of the infinite geometric series 3/4 -9/16+27/64 -81/256+ ...is 3/7.

Definition:

     A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant while the sum of an infinite number of terms in a geometric sequence is called sum to infinity.

Code: 10.3.1.1

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Step-by-step explanation:


Related Questions

The circumference of a circle is 22pi cm. What is the area, in square centimeters?

Answers

Answer:

Area = 121pi sq cm

Step-by-step explanation:

Circumference is the distance around the circle. The formula for circumference is:

C = pi•d

The question has the info in it that the circumference is 22pi.

C = 22pi

remember,

C = pi•d this means that the circle has a diameter (the d in the formula is diameter) 22cm.

The radius is half the diameter. The diameter is 22cm, so the radius is 11cm.

The formula for the area is:

Area = pi•r^2

= pi•11^2

= pi•121

= 121pi

The area is 121pi sq cm.

What number is 150% of 90

Answers

Answer: 135

Step-by-step explanation:

Answer: 145

Step-by-step explanation:

100% of 90 is, welll 90, and 50% of 90 is 45, so 150% of 90 is 145

​​​Shown below are the steps used to solve an equation.
5 - 3 (x - 1) = 4 - 7x
5 - 3x + 3 = 4 - 7x
8 - 3x = 4 - 7x
8 = 4 - 4x
x= -1
​Explain what is happening to the equation during each step in the solution.

Answers

5 - 3 (x - 1) = 4 - 7x, initial equation

5 - 3x + 3 = 4 - 7x, distributing 3 (x - 1) to get 3x + 3

8 - 3x = 4 - 7x, adding 3 to 5 to get 8

8 = 4 - 4x, subtracting 3x from both sides of the equation

x= -1, substituting x for the only possible value to make the equation true.

If a circle has the diameter of 37in, what is the area?

Answers

Answer:

A = pi (r)^2, so first you have to find the radius. The radius = 18.5 since its diameter/2. So if you plug it in, its A = pi (18.5)^2 and your answer would be A = 1075.21. Hope I helped :))

Step-by-step explanation:

two gamblers are playing a coin toss game. gambler a has (n 1) fair coins; b has n fair coins. what is the probability that a will have more heads than b if both flip all their coins

Answers

The more coins that are tossed for both gamblers, the less advantageous Gambler A is. But when a few coins are tossed, Gambler A will continue to hold a significant edge.

The binomial distribution;

In probability theory and statistics, the binomial distribution with parameters n and p is used to describe the discrete probability distribution of the number of successes in a set of n independent experiments.

Let X be the number of wins in the first n flips by A, Y be the signal that the last flip by A also wins, and Z be the number of wins in the n flips by B.

As Y is unrelated to X and Z, the following follows:

P(X + Y > Z) = P(Y = 1) P(X ≥ Z) + P(Y = 0) P(X > Z)

= 1/2(P(X = Z) + 2P(X > Z))

P(X > Z) = P(Z > X)

Here,

The less favorable Gambler A is, the more coins are tossed for both players. However, Gambler A will continue to have a sizable advantage even after a few coins are tossed.

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Of the 33 students in 10 science, 4 are boys What fraction of the class are girls?​

Answers

Lets break this down.

We are given the amount of students, which is 33, and so far the amount of boys in the class, which is 4. This can easily be written as [tex]\frac{4}{33}[/tex]. Now, we have a remainder of 29 students (most likely them being girls). This means that the fraction of the class that are girls would be [tex]\frac{29}{33}[/tex].

Hope this helps!

randy wants to attach a 20 foot string of lights to the top of the 19 foot mast of his sailboat. how far from the base of the mast should he attach the end of the light string? round your answer to two decimal places.

Answers

The distance between the base of the string and the base of the mast of the sailboat is 6.24.

Here we have to find the distance from the base of the mast that should be attached to the end of the light string.

Data given:

length of the string = 20 foot

length of the mast of the sailboat = 19 foot

Distance between the base of the mast and the light string = [tex]\sqrt{20^{2} - 19^{2} }[/tex]

                                                                                             = [tex]\sqrt{400 - 361}[/tex]

                                                                                             = √39

                                                                                             = 6.245

Therefore the distance between the string and the mast is 6.24.

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What are the coordinates of point BBB on \overline{AC} AC start overline, A, C, end overline such that the ratio of ABABA, B to ACACA, C is 5:65:65, colon, 6? An x- y- coordinate plane where the x and y tick marks scale by one. A line segment has endpoint A at one, negative six and endpoint C at negative four, two.

Answers

Answer: The coordinate of C is (2, 1.8)

Let the coordinates of A and C be (2, 1) and (2, 4). If the line AC is divided into the ratio of 2:3. This coordinate of C is given as:

Get the coordinate of X;

X = ax1+bx2/a+b

X = 2(2)+3(2)/2+3

X = (4+6)/5

X = 10/5

X = 2

Get the coordinate of Y:

Y = ay1+by2/a+b

Y = 2(1)+3(4)/2+3

Y = (2+12)/5

Y = 14/5

Y = 1.8

Hence the coordinate of C is (2, 1.8)

given any set of seven integers, must there be at least two that have the same remainder when divided by 6?

Answers

Given any set of seven numbers that should be at least 2 that must have the same remainder when divided by 6

What are the factors?

A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product since the product is divisible by them.

How do you find factors?

Step 1: factor the provided number into primes, or describe it as the product of primes.

Step 2: Write the prime factorization in exponent form in step three.

Step 3: Increase each exponent by one.

Step 4: Multiply each of the results.

There can only be a maximum of six different remainders when dividing by six: 0, 1, 2, 3, 4, and 5.

In any set of seven integers, two must have the same remainder when divided by seven according to the pigeon hole principle.

b) Consider set of integers 0, 1 ,2, 3, 4, 5 and 66. All these have different remainders upon division by 8 and hence the answer is no.

The interpretation is yes

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a gasoline tank is in the shape of a right circular cylinder (lying on its side) of length 10 ft and radius 4 ft. set up an integral that represents the volume of the gas in the tank if it is filled to a depth of 6 ft

Answers

The required integral for the gasoline tank is [tex]V = \int\limits_{ - 5}^3 {20 \cdot \sqrt {16 - {x^2}} } dx[/tex]

For the given circular cylinder, the desired limit is determined by the depth and radius of the cylinder. And, the integral function is obtained by employing a Pythagoras theorem. The final set-up must be in the form of [tex]{eq}\int\limits_a^b {f\left( x \right)dx}[/tex]

Let x be the vertical distance up from the centre line of the tank.

The radius of the right circular cylinder is 4 ft

The length of the right circular cylinder is 10 ft

The volume of the strip is determined by the front view of the right circular cylinder as follows:

dV=(L+L)dx×14

=2L×10dx

=20Ldx

The front view of the right circular cylinder is

x^2 + L^2 = 4^2

[tex]L = \sqrt{16 - x^2}[/tex]

Substitute the value of L in the equation of dV.

[tex]dV = 20 \cdot \sqrt {16 - {x^2}} dx[/tex]

The integral required to set up the volume at a depth of 6 ft will be given by taking integrals limits from -5 to 3

[tex]V = \int\limits_{ - 5}^3 {20 \cdot \sqrt {16 - {x^2}} } dx[/tex]

This is the required integral

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At a movie theater, the size of popcorn bags decreased 33\frac{1}{3} 3 1 ​ %. If the old bags held 24 cups of popcorn, how much does the new bags hold? At a movie theater, the size of popcorn bags decreased 33\frac{1}{3} 3 1 ​ %. If the old bags held 24 cups of popcorn, how much does the new bags hold?

Answers

Answer:56

Step-by-step explanation:

An aircraft is taking a group of skydivers up into the air. Evan is dressed in his parachuting outfit, which brings his mass to a total of 90. 0 kg. The aircraft takes the group to a height of 5000. 00 m before the jump. How much gpe does evan gain before jumping?.

Answers

The gravitational potential energy gained by the group of skydivers before jumping is 4,410 kJ.

Explain the term Gravitational Potential Energy?The energy that an item has or acquires when its location changes as a result of being in a gravitational field is known as gravitational potential energy. Gravitational potential energy can be defined as an energy that has a connection to gravitational force or gravity.

Gravitational Potential Energy (GPE) is estimated as;

GPE = m×g×h              

In which

m = mass of parachuting outfit (kg)

g = acceleration due to gravity (m/s²)

h = height (meters)

Put the values in the formula.

GPE = 90× 9.8× 5000

GPE = 4,410,000‬ joules

GPE = 4,410 kJ

Thus, the gravitational potential energy gained by the group of skydivers before jumping is 4,410 kJ.

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Leon has already had 4 science quizzes this semester. Going forward, he expects to have 1 quiz per week. Write an equation that shows how the total number of science quizzes, y, depends on the number of weeks that have passed, x.

Answers

The equation that shows how the total number of science quizzes, y, depends on the number of weeks that have passed, x, is y = 4 + x.

What is an equation?

Two or more expressions with an equal sign are defined as an equation.

Given that, Leon has already taken 4 quizzes, and now, he will have 1 quiz per week.

The number of quizzes taken by Leon in x weeks is:

1x

=x

Since Leon already has 4 quizzes, the total number of quizzes after x weeks is:

y = 4 +x

Hence, the equation that shows how the total number of science quizzes, y, depends on the number of weeks that have passed, x, is y = 4 + x.

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if the growth rate r of a population is positive and remains constant, the number of people added to the population:

Answers

The number of persons added to the population rises annually if the population's growth rate, r, is positive and stable.

Given statement,

If the growth rate r of a population is positive and remains constant, the number of people added to the population,

In the given case the solution will be the number of people added to the population " increases each year ".

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Find the center and radius of the circle.

Answers

Answer:

5

Step-by-step explanation:

The length of segment EF is 8 units and the length of segment ED is 10 units. Find the length of segment FD.

Answers

Answer:

6

Step-by-step explanation:

DF = [tex]\sqrt{10^2 - 8^2}[/tex]

[tex]\sqrt{10^2-8^2} = \sqrt{100-64}[/tex]

[tex]\sqrt{100-64} = \sqrt{36}[/tex]

[tex]\sqrt{36} =6[/tex]

Using the Pythagorean Theorem, determine the distance from point (8, −6) to the origin
Pls help asap

Answers

Step-by-step explanation:

a point on a coordinate grid always creates a right-angled triangle.

the straight distance from the origin (0, 0) is the Hypotenuse (the side opposite of the 90° angle).

the coordinate distances in x and y directions are the 2 legs.

Pythagoras :

c² = a² + b²

c being the Hypotenuse, a and b being the legs.

so,

(distance from origin)² = x² + y²

because the x, y coordinates are the coordinate distances from the origin in x and in y direction.

distance² = 8² + (-6)² = 64 + 36 = 100

distance = sqrt(100) = 10

the point is 10 units apart from the origin.

A shirt regularly is priced $42. It is on sale 15% off of the regular price. whats is the sale price of the shirt

Answers

Answer:35.70

Step-by-step explanation:

Answer:

35.7

Step-by-step explanation:

Regular priced is=. ₹42

off persent is =15%

15/100×42=6.3

42-6.3=35.7

An online furniture store sells chairs for $50 each and tables for $250 each. Every day, the store can ship no more than 36 pieces of furniture and must sell at least $3400 worth of chairs and tables. If 23 chairs were sold, determine all possible values for the number of tables that the store must sell in order to meet the requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.

Answers

The values for the number of tables are 9, 10, 11, 12, and 13 the store must sell in order to meet the requirements.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

Let's assume that the number of tables would be x

According to the given information, we can write the inequality would be as:

x + 23 ≤ 36  ....(i)

23 × 50 + 250x ≥ 3400  ....(ii)

Simultaneus (i) and (ii)

9 ≤ x ≤ 13

Therefore, the value will be lies as 9, 10, 11, 12, and 13.

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a farmer is making a circular pen for his sheep. he has 213.52 yards of fencing to use. what should the diameter of the circle pen be?

Answers

The diameter of the circle pen for the sheep of the farmer is 68 yards.

Explain the term circumference of the circle?The distance along a circle's perimeter is referred to as its circumference. In other words, the circumference of a circle is equal to the length of a straight line formed by opening up the circle.The space around a circle is known as its circumference. By calculating the distance required to walk around the globe, we may determine the size of the earth's circumference.

The total length of the fencing used for the preparation of the fencing for sheep is 213.52 yards.

Thus,

circumference = 213.52 yards

The formula for the calculation of the circumference of circle is,

circumference = 2πr,

In which,

π = 3.14  and radius r.

Thus,

213.52 = 2πr

r = 213.52 / 2π

r = 34

Diameter = 2 x radius

Diameter = 2 x 34

Diameter = 68 yards.

Thus, the diameter of the circle pen for the sheep of the farmer is 68 yards.

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solve 4 6/8 - 2 3/5

A. 1 6/13

B. 1 3/40

C. 2 6/40

D. 2 3/13
Giving Brainliest!!!!!

Answers

Answer:

C

Step-by-step explanation:

1. Change to improper fractions

4 6/8 -> Multiply 4 and 8. Add 6. = 38/8

2 3/5 -> Multiply 2 and 5. Add 3. 13/5

Denominators are different so we have to make the same.

38/8 = 190/40
13/5 = 104/40

190/40-104/40 = 86/40 -> 2 6/40

lapeer flour mills purchased new equipment and made the following expenditures: purchase price $ 64,000 sales tax 5,450 shipment of equipment 890 insurance on the equipment for the first year 590 installation of equipment 1,780

Answers

The journal entry for the following transaction will be:

Equipment A/c....Dr. 73120

Prepaid Insurance A/c....Dr. 590

Cash A/c....Cr. 3260

Accounts payable A/c....Cr.  70450

Any cost that has been incurred by the company to make an asset ready to use, is also included in its purchasing price. So, any transportation, legal, or maintenance fee is also included in the asset cost.

The total cost of the new machine = Purchase price + Sales tax + Shipment of machine + Installation of machine

Total cost of new machine = 65,000 + 5,450 + 890 + 1,780

The total cost of the new machine = $73,120

Journal entry for the same:

Equipment A/c....Dr. 73120

Prepaid Insurance A/c....Dr. 590

Cash A/c....Cr. 3260

Accounts payable A/c....Cr.  70450

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The equation g equals three fifths times m represents the proportional relationship of the number of gallons of water (g) used by a washing machine over a certain period of time, in minutes (m). Create a written description for the equation. For each minute the washing machine runs, it uses five thirds gallons of water. For each minute the washing machine runs, it uses three fifths of a gallon of water. For each gallon of water the washing machine uses, it runs for three fifths of a minute. For each gallon of water the washing machine uses, it runs for 8 minutes.

Answers

The description of the proportional relationship in the context of this problem is given as follows:

For each minute the washing machine runs, it uses five thirds gallons of water.

What is a proportional relationship?

A proportional relationship is a special case of a linear function, with intercept of zero, meaning that the output variable y is obtained as the multiplication of the input variable x and the constant of proportionality k, as follows:

y = kx.

In this problem, the relationship is given by the equation presented as follows:

g = 3/5m

The variables are given as follows:

Input m: number of minutes.Output g: number of gallons of water.

The constant is of:

3/5.

Meaning that three fifths gallons of water are used each minute.

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first, we form a riemann sum with n rectangles (or subintervals). (i) what is the width of each rectangle? (ii) list the right-hand endpoints of each rectangle. (iii) list the heights of each rectangle. (iv) list the areas of each rectangle. (v) what is the riemann sum with n rectangles? you may use summation notation, but you do not need to.

Answers

The Reimann sum with n rectangle will be given as [tex]\sum^{n-1}_{i = 0} f{(x_i)} \Delta x[/tex]

Let us suppose that f is a non-negative function, defined over a closed interval represented by [a, b].

The integral of f with respect to x signifies the area between the graph of f and X-axis. This area would be called definite integral of a function f from a to b. Then Riemannian method of determining this area is:

“if the area is divided into n rectangles of very small breadth, then it would be simpler to calculate the area of such rectangles and then we can add them up

(i ) The width of each rectangle will be denoted as Δx

Δx = b-a/n,

where , a is lower bound

b is upper bound of the integral

(ii) The right-hand endpoints of each rectangle are refer as [tex]x_i[/tex] and we can find the right endpoints by [tex]x_i[/tex] = a + Δx.i

(iii) The height of each rectangle is the value of the function at the upper point of the interval.

a + (b-a)/n for the first rectangle , a + 2(b-a)/n for the second rectangle and so on

(iv) The area of the each rectangle will be

Area = Width × height

=> A = (b-a)/2 × a + i(b-a)/2

(v) The Riemann sum with n rectangles is

Area of rectangle = [tex]\sum^{n-1}_{i = 0} f{(x_i)} \Delta x[/tex]

Which is also known as Reimann sum

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which graph represents the peicewise function ?

Answers

Graph option B is the correct answer.

What is graphical representation?

Graphical representation refers to the use of charts and graphs to visually display, analyse, clarify, and interpret numerical data, functions, and other qualitative structures.

Given are function,

y = x+1 ≤0 and y = 3x

The best demonstration of these functions can be seen in graph 2.

Hence, Graph option B is the correct answer.

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why should nulls in a relation be avoided as much as possible? discuss the problem of spurious tuples and how we may prevent it.

Answers

Nulls in a relationship should be avoided as much as possible because of the following reasons:-

• Memory space will be wasted at the storage level

• When aggregate operations such as SUM, AVG etc. are performed on the attribute which has

null value, the result will be incorrect

• When JOIN operation involves an attribute with null values, the result may be unpredictable

• The NULL value has a different meaning. It may be unknown, not applicable or absent

Spurious tuples are generated as the result of bad design or improper decomposition of the base

table.

Spurious tuples are the tuples generated when a JOIN operation is performed on badly

designed relations. The resultant will have more tuples than the original set of tuples

• The main problem with spurious tuples is that they are considered invalid as they do not

appear in the base tables.

Spurious tuples can be avoided by taking care while designing relation schemas:

• The relations should be designed in such a way that when a JOIN operation is performed, the

attributes involved in the JOIN operation must be a primary key in one table and a foreign key in

another table

• While decomposing a base table into two tables, the tables must have a common attribute. The

the common attribute must be the primary key in one table and the foreign key in another table.

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Equivalent Ratios: Liam practiced piano 24 times in 4 weeks. His brother practiced 12 times in 2 weeks. Are the rates at which each brother practiced equivalent?

(1): Yes, they are equivalent.

(2): No, they are not equivalent.

Answers

Answer:

The rates are equivalent.

Step-by-step explanation:

Liam practiced piano 24 times in 4 weeks. 1 week = 7 days. 4 weeks = 28 days.

Use Green's theorem and find the work that the force F performs when acting along the complete trajectory counterclockwise. The dimensions of the region R are b = 3 and d3 in ft. The force F is: F = [ay-cx ] lb; use a=2 and c=2. C, RC 0 c, d x

Answers

The work that the force F performs is -36.

How to calculate work using Green's Theorem?

F = [ay - cx]

a = 2

b = 3

c = 2

d = 3

Green's theorem is theorem about the relationship between a integral line on a simple closed curve C and a double integral of a plane D bounded by C. So, from Green's Theorem we get,

∫Pdx + Qdy = ∫∫([tex]\frac{\partial Q}{\partial x}[/tex]-[tex]\frac{\partial P}{\partial y}[/tex])dA

Put the a and c value into force F equation. So,

F = [2y - 2x]

From this, we get

P = 2y

Q = -2x

[tex]\frac{\partial P}{\partial y}[/tex] = 2

[tex]\frac{\partial Q}{\partial x}[/tex] = -2

So, the integral formula become

∫∫([tex]\frac{\partial Q}{\partial x}[/tex]-[tex]\frac{\partial P}{\partial y}[/tex])dA = ∫∫(-2-2)dA

= -4 dA

Next, we calculate the work

Work = -4 × b × d

= -4 × 3 × 3

= -36

Thus, the work is -36 for the force F performs.

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y= 5x the table for it

Answers

Answer:

The left side represents x, and the right side is y

Step-by-step explanation:

This table is simply going up by 5

13. Amelia has similar cake pans. The
first pan is 10 inches long and 8 inches
wide. The second pan is 14 inches
Tong. How wide is the second pan?
11.2 inches
B.
11 inches
C. 10.8 inches
D. 10.6 inches
A.11.2
B.11 inches

Answers

Width of second pan become 11.2 inches

What do you mean by similar figures?

Two figures are said to be similar if they share the same shape. Congruent objects are those that are precisely the same size and shape.

The term "similar figures" refers to two figures that share the same shape but differ in size.

When two figures are comparable, the sign ‘∼’ is used to indicate that they are.

It is given that Amelia has similar cake pans. The first pan is 10 inches long and 8 inches wide. The second pan is 14 inches long.

We know that the ratio of the sides of the similar figures is always equal,

So , [tex]\frac{10}{8}=\frac{14}{x}[/tex]

where x is the width of second pan.

Solve the above equation using cross multiplication we get,

x = [tex]\frac{14 \times 8}{10} = \frac{112}{10}=11.2[/tex]

Hence, width of second pan become 11.2 inches

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bill and jill evaluate your performance. the consistency between these two raters who evaluate you is known as: The radius of a circular play ground is 77 m. Calculate the distance covered by a runner in 5 complete rounds around the ground. Write an article that aims to persuade young people to join a political party, and provide a commentary explaining how you have made your text suitable for its purpose and audience. the dollar store, dollar general, and dollar tree are discount stores that______ so they can sell goods at lower prices than usual. F(x)=3x 3 kx5, and x1x1 i a factor of f(x)f(x), then what i the value of kk? The amount of air drag on an 0. 8n flying squirrel dropping vertically at terminal velocity is. when 65.0 g of ch4 reacts with excess o2, the actual yield of co2 is 92 g. what is the percent yield? Given h(x) = 4x - 4, solve for x when h(x) = 0. Match a factor on the left that determines how far magma can rise toward Earth's surface with its definition. a 40-year-old man presents with a 3-day history of right-sided chest pain. it is gradually increasing in intensity, burning in character, and like a band across his mid-chest and mid-back on the right side. today, he noticed a light rash in this area; out of concern, he visited his doctor. he has no fever, but he is experiencing fatigue and malaise. his past medical history includes gerd, for which he is on lansoprazole daily; asthma, for which he uses albuterol inhaler daily; and knee arthritis, for which he uses over-the-counter low dose naproxen as needed. family history is noncontributory. on examination, he is afebrile with a bp of 128/80 mm hg and a pulse of 70 bpm. oral exam is unremarkable. lungs are clear, and the abdomen is benign. on the right side of his chest, there are small vesicles with surrounding erythema in the mid region. the skin is excruciatingly tender in a dermatomal fashion along the affected area. question: what is the most likely diagnosis? 0 / 1 points an earth satellite has its apogee at 2500 km above the surface of earth and perigee at 500 km above the surface of earth. at apogee its speed is 6260 m/s. what is its speed at perigee? earth's radius is 6370 km (see below). Find an equation for the line that passes through the points (-5,1) and (1,3) . Leading business writers emphasize that __________ is one of the most important and challenging tasks in the decision-making process. (a) Escalation of commitment (b) Rational maximization (c) Translating decisions into action (d) Confirmation bias (e) Bounded rationality how to evaluate 8.1 plus 7.9 when p=6 and r=7 Management by measurement is a control principle that states that managers should be informed of a situation only if data show a significant deviation from standards.TrueFalse a solid cylinder rolls down an incline at 30^{\circ}30 from rest. part ashort answer 0 / 1 points what is its acceleration? the nurse is assessing the breasts of a caucasian woman who has just been diagnosed with paget disease. what would the nurse expect to find? Who will have the most money to spend on a new car at the end of the 5 years? will have the most money to spend. A network analyst is setting up a wireless access point for a home office in a remote, rural location. The requirement is that users need to connect to the access point securely but do not want to have to remember passwords. Which of the following should the network analyst enable to meet the requirement?1.MAC address filtering2.802.1X3.Captive portal4.WPS There is a group of students were given a spelling test. The table shows their marks. TABLE: Marks: 6,7,8,9,10 Frequency:5,4,7,10,4. What is the mean mark of the group?