Write an explicit rule for the nth term of the sequence

64,48,36,27

The statement "The relative frequency method assigns a probability of .2 to the outcome of making a donation" is true.

The relative frequency method assigns probabilities based on the observed relative frequencies of events in a sample. In this case, out of 250 people contacted, 50 made a donation to the city symphony. The relative frequency of making a donation is 50/250 = 0.2. Therefore, the relative frequency method assigns a probability of 0.2 to the outcome of making a donation.

To know more about relative frequency,

https://brainly.com/question/31993110

#SPJ11

The slοpe οf the line passing thrοugh the pοints (-2,-4) and (3,-4) is 0.

In mathematics, slοpe refers tο the measure οf the steepness οf a line. It is defined as the ratiο οf the vertical change (rise) between twο pοints.

Tο find the slοpe οf the line passing thrοugh the pοints (-2,-4) and (3,-4), we can use the slοpe fοrmula:

slοpe = (change in y) / (change in x)

Let's call the first pοint (-2,-4) "pοint 1" and the secοnd pοint (3,-4) "pοint 2". Then, we have:

change in y = y2 - y1 = (-4) - (-4) =

change in x = x2 - x1 = 3 - (-2) = 5

Substituting these values intο the slοpe fοrmula, we get:

slοpe = (change in y) / (change in x) = 0 / 5 = 0

Hence, the slοpe οf the line passing thrοugh the pοints (-2,-4) and (3,-4) is 0.

To learn more about Slope, Visit

https://brainly.com/question/16949303

#SPJ1

\( \orange{ \mathcal{AB=CD}}\)

The confidence interval in both cases has been constructed as:

a) (26.02, 29.98)

b) (120.17, 127.83)

The formula to calculate the confidence interval is:

CI = xˉ ± z(σ/√n)

where:

xˉ is sample mean

σ is standard deviation

n is sample size

z is z-score at confidence level

a) xˉ = 28

σ = 4

n = 11

90 percentage confidence.

z at 90% CL = 1.645

Thus:

CI = 28 ± 1.645(4/√11)

CI = 28 ± 1.98

CI = (26.02, 29.98)

b) xˉ = 124

σ = 8

n = 29

90 percentage confidence.

z at 99% CL = 2.576

Thus:

CI = 124 ± 2.576(8/√29)

CI = 124 ± 3.83

CI = (120.17, 127.83)

Read more about Confidence Interval at: https://brainly.com/question/15712887

#SPJ1

Functional continuity and derivative continuity (slope smoothness) between the device saturated and device active segments is the value of V12, VOL and Vhr, Vih and Get the NM2 & NmH

What is Functions?

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

Suppose the threshold vintage of N- mas is VTO

(i) Vin < VTO – Cat of f

(ii) VTO < Vin < V out – Saturation

(iii) Vin > V out + VTO – Liniar

When N-Nos is in Liniar

IR = Kn/2 { 2.(Vin-VTO). V out – V2out }

Cat calculation of VOH,

V out = V Do – RL- IR

When Vin is Low, i.p. Vin <Vto, the M mess is Off Home ID = IR = O

Calculation of VOL,

Let us assume Vin = VoH

= VDo

Since Vin – VTO > V Out, the Transitar is in Lininers,

IR= VDo – V out

Off have IO = IR = o

Calculation of VOL,

Let us assume Vin = VOH = VDO

Since Vin – VTO > V out, the Transifar is in Linears,

IR= VDO – V Out / R2

Using KCL – IR = IO

VDO – VOL / R2 = Kn/2 { 2(VOD  - VTo ) . Vo2 – VOL2}

Vol2 – 2 .{ VOD – VTO + 1/KnR2 } VOL + 2/KnRL . VDD = 0

On Solving for VOL,

VOL = VDD = VTO + 1/KnRL - /- ( VDD – VTO + 1/KNR2 ) 2 – 2VDD/KnR2

D Vot/DVin = 1

For VOCD > Vin – VTO; The N-Mas in Saturation

VDD – V Out /R2 = Kn/2 ( Vin – VTO ) 2

-1/R2 . D V out / D Vin = Kn( Vin – Vto )     put Vin = Vin

-1/RL ( -1) = Kn( Vin – Vto )

Calculation of Visit :-

Put D V out / D Vin = -1

When V Out  < Vin – Vto: M- mas Linier

Vdd – V out / RL = Kn/2 { 2- ( Vin –Vto ) Vout – V2 out }

Differtatyboth side  by d Vin:

-1/RL – D Vout/D Vin = kn/2 { 2.( Vin – Vto) D v out /d Vin

= 2 vat . Dat/dxt

Vdd – V out /R2 = Kn/2 { 2. ( Vin – VTO) V out – V2 Out }

Diffent Both side by D Vin .

-1/RL. DV out/DVin = Kn/2 {2. (Vin – Vto) Dv out / D vin + 2 vat .dat/Dithal      ------- ( i)

Put  dV out/D vin = -1

                                         Put Vin = VTT

-1/RL (-1) = Kn{( Vin – Vto ) – (-1) +2 V out }

VTH = Vto +2 V out -1 / Kn RL ----------(II)

Now Put the Value of Vin From ( II ) in ( I) in the Place of Vin.

Then

Vin = Vto + 8/3 VDo/KnRL – 1/knRL

Now ,Nasie Margin :-

NM2 = V12 – Vol

NMH = Vas – Vin

Substitute the value of V12, VOL and Vhr, Vih and Get the NM2 & NmH.

The value of V12, VOL and Vhr, Vih and Get the NM2 & NmH between the device saturated and device active segments is functional continuity and derivative continuity (slope smoothness).

To see the detailed question see the attachment

To learn more about Functions visit:

brainly.com/question/28278699

#SPJ4

Square

_________________

The statement which is true about the equation is; The discriminant is greater than 0, so there are two real roots.

The discriminant of a quadratic equation of the form; ax² + bx +c = 0 is given by the formula;

This discriminant is used to determine what type of roots, the equation would have.

For this scenario;

Hence, we can conclude that the discriminant of the equation is greater than zero, so there are two real roots.

Read more on discriminant;

https://brainly.com/question/2507588

Answer:

B on Edge 23

Step-by-step explanation:

because i said so

Answer:

5.6 inches

Step-by-step explanation:

let c = length of 'j'

I used the Law of Cosines:  \(c^{2}\) = \(a^{2}\) + \(b^{2}\) -2ab· cosC

= (1.3)^2 + (3.6)^2 - 2(1.3)(3.6) x 0.97

Answer:

10.

Step-by-step explanation:

\(1.19X10=11.90.\)

You will get 10 songs and have 10 cents left.

Answer:

percentage loss = 20%

Step-by-step explanation:

percentage loss is calculated as

\(\frac{loss}{CP}\) × 100% ( CP is the cost price )

loss = SP - CP ( SP is selling price )

loss = CP - SP = 350 - 280 = 70 , then

percentage loss = \(\frac{70}{350}\) × 100% = 0.2 × 100% = 20%

Answer:

$36.50

Step-by-step explanation:

9% of 27.50= 9. Adding the $9 fee, $36.50 is your total price. Hope this helped.

The equation of the area of the rectangle is w(2w + 5) = 50. Then the correct option is C.

It has four sides and is a polygon. The internal angle adds up to 360 degrees. The opposite sides of a rectangle are parallel and equal, and each angle is 90 degrees. Its diagonals are equally equal, intersecting in the middle.

A rectangle’s length is 5 inches more than twice its width. its area is 50 square inches.

Let the width of the rectangle be w, then the length of the rectangle will be (2w + 5).

Then the area of the rectangle is given as

Area = l × w

Then we have

w(2w + 5) = 50

More about the rectangle link is given below.

https://brainly.com/question/10046743

Using statistical concepts, it is found that the standard deviation of the probability distribution is of

\(s = 1.5(1.9) = 2.85\)

When a constant is multiplied to each data in a variable, both the mean and the standard deviation are multiplied by the constant.

In this problem, the standard deviation, which is the square root of the variance, is of:

\(\sigma = \sqrt{\sigma^2} = \sqrt{3.6} = 1.9\)

The price of each is of $1.5, hence:

\(s = 1.5(1.9) = 2.85\)

A similar problem is given at https://brainly.com/question/25718546

You haven't mentioned any questions...

the probability that if 3 donations are made, all of them can be safely used in a blood transfusion on someone with type A blood is 0.1373

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event might occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

The Three Kinds of Probability

Classical: (equally probable outcomes) (equally probable outcomes) Let S be the sample space (the collection of all unique outcomes that might occur).

Subjective Probability. Definition of Relative Frequency

Given

49% type O blood

27% type A blood

20% type B blood

4% type AB blood

Then, the probability is:

(0.27)³ + (0.49)³ = 0.1373

To learn more about probability, click the following link:-

https://brainly.com/question/24756209

#SPJ1

Answer: See below.

Good Luck! I hope this helps!

Step-by-step explanation:

1) Find the Mean of 7  18  9  22  4.

7 + 18 + 9 + 22 + 4 = 50

50 ÷ 5 = 10

2) Find the Median of 7  18  9  22  4.

4  7  9  18  22

The Median is 9.

3) Find the Mean of 7  3  7  4  8  9  2.

7 + 3 + 7 + 4 + 8 + 9 + 2 = 40

40 ÷ 7 = 5.7

4) Find the Median of 7  3  7  4  8  9  2.

2  3  4  7  7  8  9

The Median is 7.

5) Find the Mode of 7  3  7  4  8  9  2.

Mode is the number that occurs the most.

2  3  4  7  7 8  9

The Mode is 7.

6) Find the Median of 6  10  23  24  13  9  23  12.

6  9  10  12  13  22  23  24

There are 8 numbers in this set of numbers, so the Median is the average of the two numbers in the middle. So, \(\frac{(12+13)}{2} = \frac{25}{2} = 12.5\)

The Median is 12.5.

7) Find the Mean of  6  10  23  24  13  9  23  12.

6 + 10 + 23 + 24 + 13 + 9 + 23 + 12 = 120

120 ÷ 8 = 15

The Mean is 15.

8) Find the Median of 120  113  101  101  112.

101  101  112  113  120

The Median is 112.

9) Find the Mean of 73  72  72  98  99  96  98  98  73.

73 + 72 + 72 + 98 + 99 + 96 + 98 + 98 + 73 = 779

779 ÷ 9 = 86.6.

10) Find the Mode of 73  72  72  98  99  96  98  98  73.

72  72  73  73  96  98  98  98  99

The Mode is 98.

11) Find the Mode of 6  10  23  24  22  9  23  13.

6  9  10  13  22  23  23  24

The Mode is 23.

12) Find the Median of  73  72  72  98  99  96  98  98  73.

72  72  73  73  96  98  98  98  99

The Median is 96.

13) Find the Median of 12  22  26  15  18  22  29  11  22  18.

11  12  15  18  18  22  22  22  26  29

There are 10 numbers in this set of numbers, so the Median is the average of the two numbers in the middle. So, \(\frac{(18+22)}{2} = \frac{40}{2} = 20\)

The Median is 20.

Answer:

min=28

lower=34

median=39

upper=46.5

max=55

inter range=12.5

Step-by-step explanation:

Nice that the numbers are in order for you

The min is your smallest number = 28

To find the next part separate into 4 equal parts so you have 3 lines

The first line is between 34 and 34 the average of the 2 numbers is your lower quartile

lower quartile =34

middle line is your median between 39 and 39

median = 39

upper quartile is that 3rd line between 42 and 51 average is upper

upper quartile = (42+51)/2 = 46.5

max is the highest number = 55

Interquartile range is the difference between upper and lower = 12.5

Answer:

Step-by-step explanation:

In order to simplify and verify trig identities, one needs to use the rules of trigonometry and algebra to manipulate the equation until it is in a simplified form.

The most common trig identities to remember include the Pythagorean identity, reciprocal identities, quotient identities, and sum and difference identities. When simplifying an equation, it is important to remember to include the negative sign when necessary and to factor out any common factors.

After simplifying, it is important to verify the equation. This can be done by plugging in known values for the variables and verifying that the equation is true. By utilizing the rules of trigonometry and algebra, one can simplify and verify trig identities. This process is essential for working with trigonometric functions.

know more about algebra here

https://brainly.com/question/24875240#

#SPJ11

Chess is not a static game of complete information for several reasons. Firstly, the game is dynamic, meaning that the position of the pieces on the board changes constantly throughout the game.

Unlike in games like Tic Tac Toe or Connect Four, the state of the game at any given point is not fixed, and there are a vast number of possible outcomes. This means that players cannot simply memorize the best moves and outcomes for every situation, as they would in a game of complete information.

Secondly, chess is a game of imperfect information, as both players do not know what moves their opponent will make. Even with a complete understanding of the game's rules, players cannot predict with certainty the moves of their opponent, and must instead make strategic decisions based on their best assessment of their opponent's likely choices.

Finally, chess is a game of hidden information, as players do not know what their opponent is thinking or planning. A player may be able to predict their opponent's next move, but cannot know for sure what their long-term strategy is, making it difficult to make optimal decisions.

Overall, chess is a highly dynamic and complex game that is not static or complete in terms of information. Players must make strategic decisions based on incomplete and uncertain information, making it a challenging and rewarding game for those who play it.

Chess is a strategic board game played between two players, with each player starting with 16 pieces on a 64-square board. The game has been around for centuries and is considered one of the most popular and complex games in the world.

Know more about "chess":-

https://brainly.com/question/9389753#

#SPJ11

Answer:

Step-by-step explanation:

numbers 2 and 3

Answer:

A.

Step-by-step explanation:

The correct statement is A.

In a function, each input has only one output.

Statements B, C, and D are false.

The total number of students in the sample who visited campus bars on the weekend before the final exam week is an example of a discrete random variable.

Discrete Random Variable: A discrete random variable is a statistical variable that takes a finite or countable number of values. For instance, the number of cars on a street, the number of people in a movie theatre, and the number of students in a class are all examples of discrete random variables. For example, the total number of students in the sample who visited campus bars on the weekend before the final exam week can take a finite set of values from 0 to 250, making it a discrete random variable.

Know more about Discrete Random Variable here:

https://brainly.com/question/30789758

#SPJ11

The most appropriate units to describe the cost of the sandbox would indeed be dollars.

When describing the cost of an item or service, it is essential to use the unit that represents the currency being used for the transaction. In this case, the total cost of the sand for the school's sandbox is given in dollars. To maintain consistency and clarity, it is best to express the cost in the same unit it was provided.

Using dollars as the unit for the cost allows for clear communication and understanding among individuals involved in the transaction or discussion. Dollars are widely recognized as the standard unit of currency in many countries, including the United States, where the dollar sign ($) is commonly used to denote monetary values.

Using meters, the unit for measuring the dimensions of the sandbox, to describe the cost would be inappropriate and could lead to confusion or misunderstandings. Mixing units can cause ambiguity and hinder effective communication.

Therefore, it is most appropriate to describe the cost of the sand in dollars, aligning with the unit of currency provided and commonly used in financial transactions. This ensures clarity and facilitates accurate comprehension of the cost associated with the sand purchase for the school's sandbox.

for similar questions on sandbox.

https://brainly.com/question/31290675

#SPJ8

Given:

The area model.

To find:

The area as a sum and area as a product.

Solution:

The four terms of the area model are \(2x^2,10x, 3x, 15\).

The area as a sum is the sum of all the terms of given area model.

Area as a sum = \(2x^2+10x+3x+15\)

                        = \(2x^2+13x+15\)

The area as a product is the factor form of sum of all the terms of given area model.

Area as a product = \(2x^2+10x+3x+15\)

                        = \(2x(x+5)+3(x+5)\)

                        = \((x+5)(2x+3)\)

Therefore, the area as a sum is \(2x^2+13x+15\) and the area as a product is \((x+5)(2x+3)\).

The evaluation of the segment formed by the parallel lines using Thales Theorem also known as the triangle proportionality theorem are;

8. \(\overline {ST}\) is parallel to \(\overline{PR}\)

9. \(\overline{ST}\) is parallel to \(\overline{PR}\)

10. \(\overline{ST}\) is not parallel to \(\overline{PR}\)

11. x = 57.6

12. x = 25.8

13. x = 11

14. x = 10

15. x = 5

16. x = 17

Thales Theorem also known as the triangle proportionality theorem states that a parallel line to a side of a triangle that intersects the other two sides of the triangle, divides the two sides in the same proportion.

8. The ratio of the sides the segment \(\overline{ST}\) divides the sides QR and QP of the triangle ΔPQR into are; 7/11.2 = 10/16 = 0.625

Therefore; according to the Thales theorem, \(\overline{ST}\) ║ \(\overline{PR}\)

9. The ratio of the sides the parallel side to the base divides the other two sides are;

33/41.8 = 15/19

45/(102 - 45) = 45/57 = 15/19

Therefore, \(\overline{ST}\) and \(\overline{PR}\) bisects \(\overline{QP}\) and \(\overline{QR}\) into equal proportions and therefore, \(\overline{ST}\) ║ \(\overline{PR}\)

10. The ratio of the sides the segment \(\overline{ST}\)  bisects the other two sides are;

24/57 and 19/38

24/57 ≠ 19/38, therefore \(\overline{ST}\) ∦ \(\overline{PR}\)

Second part; To solve for x

11. x/30 = 48/25

x = (48/25) × 30 = 57.6

x = 57.6

12. x/34.4 = (49 - 28)/28

x = 34.4 × (49 - 28)/28 = 25.8

x = 25.8

13. (2·x + 6)/52.5 = 32/60

(2·x + 6) = 52.5 × (32/60)

x = (52.5 × (32/60)) - 6)/2 = 11

x = 11

14. (x - 3)/21 = (x - 1)/27

27·x - 27 × 3 = 21·x - 21

27·x - 81 = 21·x - 21

6·x = 60

x = 60 ÷ 6 = 10

x = 10

15. (35 - 20)/20 = (4·x - 2)/(7·x - 11)

15/20 = (4·x - 2)/(7·x - 11)

15 × (7·x - 11) = 20 × (4·x - 2)

105·x - 165 = 80·x - 40

105·x - 80·x = 165 - 40 = 125

25·x = 125

x = 125/25 = 5

x = 5

16. (x - 3)/35 = 4/(x - 7)

(x - 3) × (x - 7) = 35 × 4 = 140

x² - 10·x + 21 = 140

x² - 10·x - 119 = 0

(x - 17) × (x + 7) = 0

x = 17 or x = -7

Therefore, the possible value of x is 17

x = 17

Learn more about Thales theorem here:

https://brainly.com/question/14417137

#SPJ1

Answer:

$1,372.80

Step-by-step explanation:

I =Prt

I =(5,720)(0.06)(4)=1,372.8

The difference quotient for the given function is 9 -2/h.

The difference quotient for the given function can be calculated as:

[f(x+h) - f(x)]/h

= [(3(x+h)² - 2(x+h) + 5) - (3x² - 2x + 5)]/h

= (3x² + 6xh + 3h² - 2x - 2h + 5 - 3x² + 2x - 5)/h

= (6xh + 3h² - 2h)/h

= (6x + 3h -2)/h

Simplifying the expression further, we get:

(6x + 3h -2)/h = 6 + 3h/h -2/h

= 6 + 3 -2/h

= 9-2/h

Therefore, the difference quotient for the given function is 9 -2/h.

Learn more about the quadratic function here:

https://brainly.com/question/29775037.

#SPJ4

"Your question is incomplete, probably the complete question/missing part is:"

Find the difference quotient [f(x+h)-f(x)]/h, where h≠0, for the function below.

f(x)=3x² -2x+5. Simplify your answer as much as possible.

The probability that the sum of two rolls is 9 if atleast one response is 6 is 1/6 or 0.1667.

As the question mentioned that atleast one dice will roll 6, it means, that we know the outcome of one dice. So, the probability of getting sum of 9 is dependent only on one die. The another dice can have any of the 6 number as outcome. However, only the number 3 will give sum of 9.

Thus, the probability will be 1/6, where specifically we count for the probability of 3 in second dice out of the 6 possible outcomes.

Learn more about probability-

https://brainly.com/question/14192140

#SPJ4

Answer:

4x+30x(14 the at that the answer

Answer:

...

Step-by-step explanation:

1. B

angle A is 63 since 27+90= 117, 180-117= 63 (since a straight line is 180°)

2. 7x + 10 = 150 (since they are vertical angles)

7x = 140

x = 20

now plug in 7(20) +10

140+10=150

Answer:

143, 145

Step-by-step explanation: