A poll is given, showing 75% are in favor of a new building
project. If 8 people are chosen at random, what is the probability
that exactly 2 of them favor the new building project? Round to the
4th d

Answer:

$149,000

Step-by-step explanation:

Subtract acc depreciation for 2020 from acc deprecitation in 2021 and it gives you the depreciation expense solely for 2021.

The Equipment was purchased during 2021 at $1,402,000.

The total amount of depreciation applied to an asset up to a particular point is known as accumulated depreciation. The beginning cumulative depreciation balance is increased with each period's depreciation expense.

Given:

Equipment purchased during 2021

= Cost of equipment on 12/31/2021 - (Cost of equipment on 12/31/2020 - Cost of equipment sold)

=  $2211000 - ( $2062000 - $470000)

= $2211000 - 15,92,000

= $6,19,000

Hence, the Equipment purchased during 2021 at $1,402,000.

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Answer:

39 homes

Step-by-step explanation:

The fraction of people having computers is

13/20

Multiply by the number of homes

13/20 * 60

13 * 60/20

13*3

39

39 homes

Answer:

39 Computers

Step-by-step explanation:

i never really understood how everyone does these types of question so i just do them my own way:

60/20 = 3  

13*3 = 39

ʕ•ᴥ•ʔ  (dats a bear)

10 and 13 are the measure of the values of x and y respectively

The given diagram is a parallelogram with unknown values x an y.

Since the measure of sum of angles in a triangle is 180 degrees, hence we will take the measure of the angles in the triangle EFY to have:

70 + 7x - 5 + 45 = 180

110 + 7x = 180

7x = 180 - 110

7x = 70

x = 10

Similarly for the triangle EDY;

45 + 70 + 5y = 180

115 + 5y = 180

5y = 180 - 115

5y = 65

y = 13

Hence the measure of the values of x and y are 10 and 13 respectively

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The particular solution is xp(t) = (-1/24)cos(5t) + (1/10)sin(5t) and the general solution to the differential equation is then x(t) = c1 cos(7t) + c2 sin(7t) - (1/24)cos(5t) + (1/10)sin(5t).

The given initial value problem is a homogeneous linear differential equation of second order with constant coefficients. The characteristic equation is r^2 + 49 = 0, which has complex roots r = ±7i. Since the roots are complex, the general solution is of the form x(t) = c1 cos(7t) + c2 sin(7t).

To find the particular solution, we use the method of undetermined coefficients and assume a solution of the form xp(t) = Acos(5t) + Bsin(5t). We then find that A = -1/24 and B = 1/10. Therefore, the particular solution is xp(t) = (-1/24)cos(5t) + (1/10)sin(5t).

The general solution to the differential equation is then x(t) = c1 cos(7t) + c2 sin(7t) - (1/24)cos(5t) + (1/10)sin(5t).

Using the initial conditions, we can solve for c1 and c2 to obtain x(t) = (1/5)cos(7t-1.107) + (1/24)cos(5t+0.322). Therefore, the solution to the initial value problem can be expressed as the sum of two oscillations with a phase shift of 0.322 for the cos(5t) term.

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Step-by-step explanation:

please give me brainlest to me please

Answer:

look at top hahaha

Step-by-step explanation:

answer is on top

Answer:

Step-by-step explanation:

Square Root of 225 is 15 (with -15 also it would work but let’s stick to positive root)

Now, the 1st Odd Number is 15 -2 = 13 and the 3rd Odd Number is 15 + 2 = 17.

The required Numbers are 13 and 17.

This works for 3 consecutive Even Numbers also.

Why does it work?

Because, if we have 3 numbers to be a-2, a and a+2 (Doesn’t really matter if a is positive or negative)

(a-2)*(a+2) = a^2 - 4

So, you see adding 4 to the Product of the 1st Number and the 3rd Number (a^2 - 4 + 4 = a^2) gives you the square of the Middle Number, which is a^2!

Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators.


Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators. These variables help measure and track progress towards a goal by providing a quantitative or qualitative measure of how far the target is from the desired level of achievement.

Performance metrics can be represented in various forms, such as distance covered, percentage completed, points earned, or even subjective evaluations. For example, in a fitness program, a performance metric could be the number of miles run or the number of push-ups completed.

These metrics enable individuals or organizations to assess their progress and make necessary adjustments to reach their desired outcomes.

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Answer:

Step-by-step explanation:

\(f'(x) =\frac{1}{2\sqrt{x-3}}\)

By MVT, there exist a number c on [4, 12] such that

\(f'(c) = \frac{f(12)-f(4)}{12-4}\)

\(f(12) = 3, and, f(4) = 1, hence f'(c) = \frac{1}{4}\)

therefore,

\(\frac{1}{2\sqrt{x-3}} = \frac{1}{4}\)

Solve this equation, you have x =1.

However, this is out of the given interval. Hence does not exist

Answer: x= 0, y = 4

Step-by-step explanation:

5x+2y=8

X+y=4 -> y=4-x

5x + 2(4-x)=8 -> 5x + 8-2x=8 -> 3x=0 -> x=0

y=4-x=4-0=4

Given:

Total number of spots =1327

1) There are 162 on the first level

2)

3)

Answer:

3.1 sec.

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Parentheses first so

7-10=-3

then the brackets

-2-3-15=-20

-4-20=-24

so thats the numerator

the denominator is

2(-1)=-2

-20/-2= ?

We can remove the negative because two negatives make a positive then we would divide by 2

20/2=10

and that's our answer! :)

Answer:

No, because 379 times 17  6443

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let angle A = w - 15 degree , angle B = -w + 1 degree and angle X = w + 34 degrees then:

We know that the exterior angle of a triangle is equal to the sum of two interior opposite angles.

therefore, w + 34 = w - 15 + (-w +1)

w + 34 = w - 15 - w + 1

w = -15 - 34 = - 49 degrees

since angle cannot be negative

therefore w = 49 degrees

Answer:

A) 0 ≤ n ≤ 7

B) initial height of plant = 8 cm

C) average rate of change = 0.475 cm/day.  

Plant grew an average of 0.475 cm per day from day 2 to day 6

Step-by-step explanation:

\(f(n)=8(1.05)^n\)

Part A

Given height = 11.26 cm

\(\implies 8(1.05)^n=11.26\)

\(\implies(1.05)^n=\dfrac{11.26}{8}\)

\(\implies(1.05)^n=1.4075\)

Taking natural logs:

\(\implies \ln(1.05)^n=\ln(1.4075)\)

\(\implies n\ln(1.05)=\ln(1.4075)\)

\(\implies n=\dfrac{\ln(1.4075)}{\ln(1.05)}\)

\(\implies n=7.005819448\)

\(\implies n \approx7\)

Therefore, the scientist concluded his study after 7 days, so the domain is 0 ≤ n ≤ 7

Part B

y-intercept is when the curve intersects the y-axis (when n = 0):

\(\implies f(0)=8(1.05)&^0=8\times1=8\)

The y-intercept represents the initial height of the plant, which is 8 cm

Part C

Rate of change = change in y ÷ change in x

⇒ rate of change = change in f(n) ÷ change in n

\(\implies f(2)=8(1.05)^2=8.82\)

\(\implies f(6)=8(1.05)^6=10.72076513...\)

\(\implies \textsf{rate of change} \ =\dfrac{f(6)-f(2)}{6-2}=0.4751912813...\)

So the average rate of change was 0.475 cm/day.  This indicates that the plant grew an average of 0.475 cm per day from day 2 to day 6 (over a period of 4 days).

ETA: please see attached graph.  The gray dotted curve is the function, and the black solid curve is the function with the restricted domain of 0≤n≤7 since the study took 7 days.

If the radius of the sphere is 3.5 inches , then the volume is 130.85 inches³  and the surface area is 153.86 inches²  .

In the question,

it is given that , the shape of the exercise ball is a sphere ,

the radius of the sphere is = 3.5 inches ,

the volume of sphere is gives as

Volume = (4/3)πr³

= (4/3)π(3.5)³              ....using π = 3.14

= 130.85 inches³

and Surface Area of the Sphere is = 4πr²

= 4π(3.5)²               ....using π = 3.14

= 153.86 inches²

Therefore , If the radius of the sphere is 3.5 inches , then the volume is 130.85 inches³  and the surface area is 153.86 inches²  .

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the formula to determine the magnitude of a vector (in two dimensional space) v = (x, y) is: |v| =√(x2 + y2). This formula is derived from the Pythagorean theorem.

the formula to determine the magnitude of a vector (in three dimensional space) V = (x, y, z) is: |V| = √(x2 + y2 + z2)

This means that if we were to repeat the sampling process multiple times and construct 95% confidence intervals from each sample, approximately 95% of those intervals would contain the true average GPA.

The interpretation of the 95% confidence interval (2.62, 3.04) for the average GPA (μ) of all UCF students is as follows:

We are 95% confident that the true average GPA of all UCF students falls within the range of 2.62 to 3.04. This means that if we were to repeat the sampling process multiple times and construct 95% confidence intervals from each sample, approximately 95% of those intervals would contain the true average GPA.

In other words, we can be reasonably confident that the true average GPA of all UCF students lies within the provided interval. However, it's important to note that this interpretation does not imply that there is a 95% probability that the true average GPA falls within this specific interval. The confidence level indicates the long-term success rate of the confidence interval estimation procedure, not a probability for the interval capturing the parameter in a single instance.

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These aspects, among others, contribute to the overall aesthetic response to an Art Song. However, it's important to note that individual preferences and cultural backgrounds can greatly influence how a listener perceives and responds to the music. Each person's aesthetic response may be unique, and an Art Song can evoke a range of emotions and interpretations based on personal experiences and sensibilities.

Here, we have,

Instrumentation: The combination of one voice and piano in an Art Song creates an intimate and nuanced sonic palette. The piano provides harmonic support and textures while allowing the voice to take the lead. The delicate interplay between the voice and piano can evoke a sense of intimacy and draw the listener into the music.

Style of Singing: Art Songs are often characterized by a lyrical and expressive style of singing. The singer's ability to convey emotions, communicate the meaning of the text, and deliver a captivating performance can leave a lasting impression. The nuances in phrasing, dynamics, and vocal technique contribute to the overall aesthetic response.

Language of Text: The language used in an Art Song can evoke different aesthetic responses depending on the listener's familiarity with the language and cultural background. The choice of language may enhance the poetic quality of the lyrics, evoke specific imagery or cultural associations, and deepen the emotional connection to the music.

Word Painting: Art Song composers frequently use word painting techniques to musically illustrate or depict specific words or phrases in the text. These musical gestures can include melodic contour, rhythmic patterns, dynamic contrasts, and harmonic choices. Word painting enhances the listener's understanding and emotional engagement by creating vivid musical images and reinforcing the meaning of the text.

Emotional Range: Art Songs often explore a wide range of emotions, from melancholy and introspection to joy and passion. The music's ability to evoke and express these emotions can elicit a profound aesthetic response in listeners. The shifts in mood, dynamics, and melodic lines can create an emotional journey that resonates with the listener's own experiences and feelings.

Musical Storytelling: Art Songs can tell stories or convey narratives through the integration of music and text. The composer's use of melodies, harmonies, and rhythmic patterns can depict characters, events, and landscapes, enabling the listener to engage with the story being told. The unfolding narrative and the music's ability to convey the story's essence can captivate and emotionally move the listener.

These aspects, among others, contribute to the overall aesthetic response to an Art Song. However, it's important to note that individual preferences and cultural backgrounds can greatly influence how a listener perceives and responds to the music. Each person's aesthetic response may be unique, and an Art Song can evoke a range of emotions and interpretations based on personal experiences and sensibilities.

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652.50

Step-by-step explanation:

1450 x .09 x 5 = 652.50

The correctanswer is-the percentage of the pieces that will meet the length specs is 98.78%.

The given data may be a random variable that takes after the normal distribution with mean μ=64 and standard deviation σ=0.1

The required value is to discover the rate of the pieces that will meet the length specs which is between 63.76 and 64.24 inches.

To find the required percentage, standardize the given limits as follows: Lower Limit: (63.76 - μ) / σ= (63.76 - 64) / 0.1 = -2.4

Upper Limit: (64.24 - μ) / σ= (64.24 - 64) / 0.1 = 2.4

Using the Standard Normal Distribution Table, the probability that the value will fall between -2.4 and 2.4 is found to be 0.9878.

The required percentage is then found by multiplying the probability by 100, which is: Percentage = 0.9878 x 100% = 98.78%

Therefore, the percentage of the pieces that will meet the length specs is 98.78%.

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Caitlyn used 4 43-cent stamps and 8 6-cent stamps

The given parameters are:

Amount paid = $2.20

Stamp used: 43-cent stamps and 6-cent stamps

Represent the amount of stamps in dollars

$0.43 and $0.06

Let the count of these stamps be x and y

So, we have:

0.43x + 0.06y = 2.20

Multiply through by 100

43x + 6y = 220

Let x = 4.

So, we have:

43* 4 + 6y = 220

This gives

6y = 48

Divide by 6

y = 8

Hence, Caitlyn used 4 43-cent stamps and 8 6-cent stamps

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Answer

well first u put it as 2/2 which is 2 then you have to times it by 69 which is 138 then divide that by 6.5 which is 21

Step-by-step explanation:

actual answer is 4 if you were serious about this

Answer: 4

Step-by-step explanation:

Use your hands:

2 on one hand

2 on the other hand

Put them together which is 4

The answer is c) two-speed switch. Typically, a whole-house exhaust fan will operate off a single 120V circuit  with a two-speed switch.

Typically, a whole-house exhaust fan will operate off a single 120 v circuit with a two-speed switch. This switch allows the fan to run at different speeds depending on the level of ventilation needed. The two-speed switch allows the user to control the fan speed, optimizing its performance based on the needs of the household. It does not require an occupancy sensor, standby switch, or dimmer switch as these are not relevant to the operation of the fan.
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There isn't any piece of data during Taylor's experiment which can be taken as  qualitative. Thus, correct choice is: Option D: None are qualitative.

Qualitative data tells about the quality or characteristic. It is tough to express it numerically or not at all expressible numerically. They are usually catagorical.

In contrast, there is quantitative data which can be expressed numerically.

The problem is missing its option, which are:

Mass can be measured (in kgs, grams etc), degree of inclination can be measured (in radians, degree etc), time can be measured (in seconds, minutes etc).

Thus, there isn't any piece of data during Taylor's experiment which can be taken as  qualitative. Thus, correct choice is: Option D: None are qualitative.

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Answer:

8.2263565e+21

Step-by-step explanation:

im smart

Answer:

She sold 10 pounds of peaches and 45pounds of grapes

Step-by-step explanation:

X= pounds of peaches

x+35=pounds of grapes

2x+4(x+35)=200

2x+4x+140=200

6x=200-140

6x=60

x=10

She sold 10 pounds of peaches and 45pounds of grapes. (Sorry, can’t help you graph it.)

Answer:

Neither

Step-by-step explanation: