What is the price at which equilibrium is achieved?
$8
$9
$10
$30

Answer:

a) multiply

b) 16

Step-by-step explanation:

a) To convert a smaller unit of measurement into a larger unit, multiply because more of a smaller unit is required to cover up a larger measurement.

b) We know that there are 16 ounces in a pound, which is the unit rate.

The expected amount of time that the 5:30 appointment spends at the barber shop is,  E[W] = 45 + 45/e.

Given that, the barber has scheduled two appointments, one at

5 pm and the other at 5:30 pm.

Since the amount of time that appointments last are independent exponential random variables with mean 45 minutes.

Let W be the time the 2nd person has to wait in chamber Let X be the time the barber takes checking 1st person X-exp(45)

The distribution is,

W= X-45            if X >45

otherwise.

Expected time 2nd person spends in barber chamber

= E (W)+45

[ 45 is the mean time barber takes checking 2nd person]

\(E(W) = \int\limits^{\infinity }_0 {WP(X=45+W)} \, dw\\ \\\\=\int {W.1/45e^{\frac{-45+w}{45} } \, dw\\\\\)

\(=e^{-1} \int\frac{W}{45} e^{\frac{-w}{45} } dw\\=\frac{45}{e}\)

The expected amount of time that the 5:30 appointment spends at the barber's office is,

\(E[W]=45+\frac{45}{e}\).

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The explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536

The given sequence is -4, 16, -64, 256,...

If we observe the sequence it is a geometric sequence

aₙ=a.rⁿ⁻¹

a is the first term and r is the common ratio

From the sequence the first term is -4 and common ratio is -4

aₙ=(-4).(-4)ⁿ⁻¹

Plug in the value n as 8

a₈=(-4).(-4)⁷

The value of minus four power seven is minus sixteen thousand three hundred eighty four

a₈=(-4)(-16384)

When four is multiplied with sixteen thousand three hundred eighty four we get sixty five thousand five hundred thirty six

a₈= 65536

Hence, the explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536

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Answer:

x = 24

Step-by-step explanation:

if a and b are parallel then

62 and 5x - 2 are same- side interior angles and sum to 180° , that is

5x - 2 + 62 = 180

5x + 60 = 180 ( subtract 60 from both sides )

5x = 120 ( divide both sides by 5 )

x = 24

thus for a to be parallel to b , then x = 24

Answer:

$0.94 per ounce

Step-by-step explanation:

1 pound = 16 ounces

14.99/16=0.936875

A subset of the population used by statisticians to make predictions about a population is called a sample. In statistical analysis, it is usually not practical or feasible to study an entire population, hence a representative sample is selected instead.

The sample is selected based on specific criteria that must be met, such as age, gender, income, location, or any other relevant factors that might affect the population being studied.
The sample must be a true representation of the population, which means it should be chosen randomly and without any bias. This is important because if the sample is not representative of the population, then any conclusions drawn from it may not be accurate or applicable to the population as a whole.
Once the sample is selected, statisticians use various methods to analyze and interpret the data collected from it. The results obtained are then used to make inferences and predictions about the entire population. These predictions can be used to inform policies, decisions, or actions that affect the population.
In conclusion, a sample is a subset of a population that is selected by statisticians to make predictions about the population. It must be representative, randomly selected, and without any bias to ensure accurate results.

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The amplitude of damped oscillatory motion can be expressed as an exponential function.

Non-conservative forces cause damping harmonic oscillators to lose energy. Critical damping quickly restores system equilibrium without overshooting. The equilibrium position will be oscillated through in a system that is underdamped. In comparison to a system that is severely dampened, an overdamped system takes longer to reach equilibrium.

Because we already know that this function is exponential, that sort of function that characterizes the amplitude of damped oscillatory motion is exponential.

y=\(Ae^{\frac{-ct}{2m}cos(w_dt+\phi )\)

y=\(Ae^{\frac{-ct}{2m}\)

gives the amplitude.

so that we can say that amplitude of damped oscillatory motion is exponential.

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The coordinate of the point S will be (6,-10).

A coordinate plane is a 2D plane created by the junction of the x-axis and y-axis, two perpendicular lines. A midpoint is a spot that sits in the midst of a line that connects two other places. Given that point T's coordinates are (0,6). The center of ST is (3,-2). The following calculation will yield the coordinate of the point S:-

The x-coordinate is calculated as below:-

(x + 0)/2 = 3

x + 0 = 6

x = 6

The y-coordinate is calculated as below:-

(y + 6)/2 = -2

y + 6 = -4

y = -10

Therefore, the coordinate of the point S will be (6,-10).

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Answer:

9h 30min

Step-by-step explanation:

8.45pm to 9pm = 15 minutes

9pm to 6am = 9h

6am to 6.15am = 15 minutes

Total amount of time spent to sleep = 15 min + 9h + 15 min

                                                            = 9h 30min

Answer:

9 hours and 30 minutes

Step-by-step explanation: You can just count by hand. 8:45-9:45 (1 hour) 9:45-10:45 (2 hours) so on and so on.

The coin is flipped at least 52 times in order to obtain a 99% confidence interval of width of at most . 18 for the probability of flipping a head.

Hence, Option F is correct answer.

In a sample with a number n of people surveyed with a probability of a success of π , and a confidence level of (1-α), we have the following confidence interval of proportions.

\(\pi\) ± z\(\sqrt{\frac{\pi \p(1-\pi )}{n} }\)

z is the z-score that has a pvalue of \(1-\frac{\alpha }{2}\)

Since, the coin is fair, so \(\pi =0.5\).

The margin of error is:

\(M=z\sqrt{(\frac{\pi (1-\pi )}{n} )}\)

99% confidence level:

So \(\alpha =0.01\) ,z is the value of Z that has a p value of 1-\(\frac{0.01}{2}\)=0.995,

so Z= 2.575

We have to flip the coin in order to obtain a 99% confidence interval of width of at most 18 for the probability of flipping a head at least n times.

n is found when M=0.18 .

So

M=\(z\sqrt{\frac{\pi (1-\pi )}{n} }\)

\(0.18=2.575\sqrt{\frac{0.5*0.5}{n} }\)

\(0.18\sqrt{n} =2.575*0.5\)

\(\sqrt{n}=\frac{2.575*0.5}{0.18}\)

\(\sqrt{n} ^{2} =(\frac{2.575*0.5}{0.18} )^{2}\)

n = 51.16

Thus, we have to flip the coin at least 52 times.

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A line chart is a special type of scatter plot in which the data points in the scatter plot are connected with a line. A line chart is a graphical representation of data that is used to display information that changes over time. The line chart is also known as a line graph or a time-series graph. The data points are plotted on a grid where the x-axis represents time and the y-axis represents the value of the data.

The data points in the scatter plot are connected with a line to show the trend or pattern in the data. Line charts are commonly used to visualize data in business, economics, science, and engineering.Line charts are useful for displaying information that changes over time. They are particularly useful for tracking trends and changes in data. Line charts are often used to visualize stock prices,

sales figures, weather patterns, and other types of data that change over time. Line charts are also used to compare two or more sets of data. By plotting multiple lines on the same graph, you can easily compare the trends and patterns in the data.Overall, line charts are a useful tool for visualizing data and communicating information to others. They are easy to read, understand, and interpret, and can be used to display a wide range of data sets.

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Identify the coordinates of the points A and B on the graph:

The attached graph will be used to identify the cordinates

Each point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate)

points A = (x,y)

points B = (x,y)

Therefore the coordinates of point A and B are

On solving the provided question, we can say that the equation we have here is\(X_(n+1)= (x-n)^{3} - \frac{2}{10}\) at \(x_1 = -1\) n = 0 , \(x_1 = \frac{-3}{10}\)

Two assertions in a mathematical equation are joined by the equal sign (=), which stands for equality.

A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14.

The connection between the two sentences on either side of a letter is explained by a mathematical formula. Typically, there is only one variable, which also serves as the symbol.

A simple equation is a mathematical formula that, on both sides of the "equal to" sign, expresses the relationship between two expressions. Equations in this category include a variable, which is typically expressed as x or y. Simple equations often need to be rearranged in order to be solved.

the equation we have here is

\(X_(n+1)= (x-n)^{3} - \frac{2}{10}\) , at \(x_1 = -1\)

n = 0

\(x_1 = \frac{-3}{10}\)

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Answer:

i think probably x∉∅

Step-by-step explanation:

3x-7 = 3x+9

-7 = 9

so x∉∅

Answer:

0 = 16 or No Solution

Step-by-step explanation:

1) Add  7   to both sides of the equation

3x - 7 + 7 = 3x + 9 + 7

2) Simplify

A. Add the numbers

3x = 3x + 9 + 7

B. Add the numbers

3x = 3x + 16

3) Subtract 3x  from both sides of the equation

3x - 3x = 3x + 16 - 3x

4) Simplify

A. Combine like terms

0 = 3x + 16 - 3x

B. Combine like terms

0 = 16

Answer:

Step-by-step explanation:

Question #1

- Since it is an isosceles triangle, this means that the base angles have the same value.

- The angle sum is 180°

Solve

2x+35+35=180

2x+70=180

2x=110

x=55

Question #2

- Since it is given there is a right angle, this means the angle is 90°

- The angle sum is 180°

Solve

5x+5x+90=180

10x+90=180

10x=90

x=9

It asked to find m∠A, which is 5x. So 5x=5(9)=45°

Hope this helps!! :)

Please let me know if you have any questions

Answer: Between 2 and 7

Answer:

2 to 5

Step-by-step explanation:

i don't know because of i don't this transmission may not have the completed Questionnaire

Answer:

35 dogs

Step-by-step explanation:

40% more than 25 is 35

Answer:

Square and rectangle

The other polygon isn't necessarily have right angle

Answer:

square, and the parallelogram

Step-by-step explanation:

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\(q(x) = {x}^{2} - 3x - 4\)

\(q(10) = ( {10})^{2} - (3 \times 10) - 4 \)

\(q(10) = 100 - 30 - 4\)

\(q(10) = 70 - 4\)

\(q(10) = 66\)

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Thus the correct answer is (( C )) .

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The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.653.

We have,
Vermont had 65.3% of respondents who said yes to exercising for at least 30 minutes a day, 3 days a week.

To find the sample proportion, you can convert the percentage to a decimal by dividing the percentage by 100.

Step 1:

Convert the percentage to a decimal.
65.3 / 100 = 0.653

Thus,
The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.653.

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The system of equations 6x+4y=14 and 9x+6y=c are linear equations

The value of c that makes the system have infinitely many solutions is 21

The system of equations are given as:

6x+4y=14

9x+6y=c

Divide through the second equation by 3

3x + 2y = c/3

Multiply through by 2

6x + 4y = 2c/3

Subtract the first equation from the above equation

6x - 6x + 4y - 4y = 2c/3 - 14

Evaluate the differences

2c/3 - 14 = 0

Add 14 to both sides

2c/3 = 14

Multiply by 3/2

c = 21

Hence, the value of c that makes the system have infinitely many solutions is 21

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Answer:

I put the equation into desmos online graphing calculator

Answer:

Step-by-step explanation:

(0,3/4)  (1,3/4)

Hey there! :)

Answer:

120.

Step-by-step explanation:

Substitute in 5 for x and 2 for y into the expression 4x² + 2xy:

4(5)² + 2(5)(2) =

4(25) + 2(10) =

100 + 20 =

120.

The probability of winning a prize worth more than the price of playing the game is 38%.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of samples

Given that the percentage of the winning price is:-

Toy = 25%

Soda = 25%

Candy = 37%

Mega win = 13%

The probability of winning a prize worth more than the price of playing the game is calculated as:-

P = ( 25 + 13 ) x 100 / 100

P = 0.38 x 100

P = 38%

Therefore, the probability will be 38%.

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Answer:

The change in temperature is -6.64

The average hourly rate of change is

6 hours or -3.32

Answer:

2x-1= p

Step-by-step explanation:

dude srsly

Answer:

-------------------

Given:

First, convert the two side length as below:

Now find the third side:

Hence the third side is 5√7 feet.

The biologist predicts that the population would be fewer than 50 in approximately 30 years from the initial count.

The biologist likely used the exponential decay function to model the coyote population over time. This function takes the form:

P(t) = P0 * (1 - r)^t

Where:
P(t) is the population at time t,
P0 is the initial population (100 coyotes),
r is the rate of decrease (0.045 or 4.5%),
t is the time in years.

To predict when the population would be fewer than 50, the biologist would solve the equation:

50 = 100 * (1 - 0.045)^t

t = 30

This equation can be used to find the value of t, which represents the number of years it takes for the population to decrease to fewer than 50 coyotes in the tri-county area, which is 30 years.

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