An arc subtends a central angle measuring \dfrac{3\pi}{5} 5 3π ​ start fraction, 3, pi, divided by, 5, end fraction radians. What fraction of the circumference is this arc?

Answer:

4. t ≥0

5. x>0

6. k ≤ 3

7. r ≥ 2

8. v ≥ 7

Step-by-step explanation:

I hope this helps

Answer:

23

Step-by-step explanation:

hope this helps

Step-by-step explanation:

Center = (-1/2 Coefficient of x, -1/2 Coefficient of y)

or, Center = {-1/2*(-18), -1/2*(-14)}

or, Center = (18/2, -14/2)

Ans: (9, 7)

Answer:

4x

Step-by-step explanation:

X is incremented by 1

Answer:

Step-by-step explanation:

There is a 1 in front of the x. 1 is never written, but really the question looks like

1x +1x +1x +1x which when summed gives 4 x

b = 4

The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

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The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

The probability that Team Beta wins the championship is 504/100, which simplifies to 63/125 or $0.504.

The probability that Team Beta wins the championship,  to consider the different possible outcomes of the series. Since it is a best-two-out-of-three series, Team Beta can win either in two games or in three games.

Case 1: Team Beta wins in two games.

For Team Beta to win in two games, they must win the first two games. The probability of Team Beta winning a game is $0.60$. Therefore, the probability of Team Beta winning two games in a row is

$0.60 × $0.60 = $0.36.

Case 2: Team Beta wins in three games.

For Team Beta to win in three games, they must lose the first game and then win the next two games. The probability of Team Beta losing the first game is $0.40$ (since it's the complement of winning, which has a probability of $0.60$). After losing the first game, Team Beta needs to win the next two games, which has a probability of $0.60 \times 0.60 = 0.36$. Therefore, the probability of Team Beta winning in three games is $0.40 × $0.36 = $0.144.

The overall probability of Team Beta winning the championship, the probabilities from the two cases

$0.36 + $0.144 = $0.504

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Answer: 5c represents the cost of 'c' large cheese pizzas and 6p represents the cost of 'p' large pepperoni pizzas.

Step-by-step explanation:

Given: Large cheese pizzas cost $5 each and large pepperoni pizzas cost $6 each.

The expression 5c+6p models the total cost of large cheese pizzas.

here c represents Number of large cheese pizzas and p represents number of  large pepperoni pizzas such that

5c represents the cost of 'c' large cheese pizzas and 6p represents the cost of 'p' large pepperoni pizzas.

[Total cost = Cost of each item x Number of items ]

To calculate chi-square test, the exact steps and options may vary slightly depending on the specific model of the TI-83 calculator and its operating system

What is Chi-Square Test?

When the sample sizes are large, a chi-squared test is a statistical hypothesis test used in the study of contingency tables.

To put it another way, the main purpose of this test is to determine whether two category factors have independent effects on the test statistic.

It is frequently used to assess how well sampling data represents the entire population.

To calculate the chi-square test statistic on a TI-83 calculator, you can do the following:

Please note that the exact steps and options may vary slightly depending on the specific model of the TI-83 calculator and its operating system. It's always a good idea to refer to the calculator's manual or user manual for detailed instructions.

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A function containing a variable base raised to a fixed power   is considered to be a power function.

when a function has a constant base raised to a variable power. This can be called an exponential function, not a power function A power function may be a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number. It is in the form of f(x)=kx^p, where k and p are the real numbers whereas k is the coefficient.

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The context that represents linear growth is "A music service has a fixed monthly cost and charges $0.35 for each downloaded song".

What is linear Growth?

A linear growth function has a constant slope, increases by a consistent amount over time, and is represented graphically as a line.

In other words, when a quantity rises in proportion to another factor or variable in a connection it is said to be a linear growth.

Let's check the given option to check whether it is linear growth or not.

1. A music service has a fixed monthly cost and charges $0.35 for each downloaded song.

Here there is a fixed cost and the cost will increase when the number of songs is increased

Let's say the constant charge is 'y' and the number of songs is 'x' then the equation that can represent the situation is

=> f(x) = y + x(0.35)

Here there is a constant increase in cost

∴ The given situation can represent Linear growth.

2. An elevator descends at a rate of 32 feet per second.

Here descends indicated the elevator decreases in speed of the elevator at a point the elevator speed will be zero

∴ It doesn't show the linear growth

3. OA town's population shrinks at a rate of 9.4% every year.  

Here the town's population is shrinking means It doesn't show any growth

∴ It doesn't show the linear growth  

4. The amount of certain medication in a person's bloodstream decreases by 1/4 every day.  

Here, the person's bloodstream decreases by 1/4 every day.  

∴ It doesn't show the linear growth    

Therefore,

The context that represents linear growth is "A music service has a fixed monthly cost and charges $0.35 for each downloaded song".

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12 go into 4, 3 times  so the answer is 12 divided by 4 is 3 please tell me if it's wrong.

Answer:

(B) Process mean is not within statistical control. There are points above and below the control limits. There is a shift upward.

Step-by-step explanation:

Gradpoint

Answer:

To find the mean height of the sample, we need to sum up all the values and divide them by the total number of values.

Sum of values = 59+61+62+63+63+64+65+65+66+67+67+67+67+69+73 = 964

Total number of values = 15

Mean height = sum of values / total number of values = 964/15 = 64.2666... ≈ 65.2

Therefore, the mean height, in inches, of this sample is approximately 65.2.

The answer is B.

Given that heart rate before an exam for STA 100 students is normally distributed with mean 100 bpm and standard deviation 20.2 bpm, the probability that a randomly selected student's heart rate is under 125 bpm given that it is over 100 bpm is approximately 0.6306.

We are given that the heart rate before an exam for STA 100 students follows a normal distribution with mean 100 bpm and standard deviation 20.2 bpm.

We want to find the conditional probability that the heart rate is under 125 bpm given that it is over 100 bpm.

Let A be the event that the heart rate is over 100 bpm, and let B be the event that the heart rate is under 125 bpm. Then we want to find P(B | A).

We can use Bayes' theorem to find P(B | A):

P(B | A) = P(A | B) * P(B) / P(A)

We know that P(A) = 1 - P(B), since the two events are complements. We also know that P(B) can be found using the standard normal distribution as follows:

P(B) = P(Z < (125 - 100) / 20.2) = P(Z < 1.2376) = 0.8917,

where Z is a standard normal random variable. To find P(A | B), we need to compute the conditional probability that the heart rate is over 100 bpm given that it is under 125 bpm:

P(A | B) = P(B | A) * P(A) / P(B) = P(B | A) * (1 - P(B)) / P(B).

Since the heart rate follows a normal distribution, we can standardize it by subtracting the mean and dividing by the standard deviation:

P(A | B) = P(Z > (100 - 100) / 20.2 | Z < (125 - 100) / 20.2)

= P(Z > 0 | Z < 1.2376)

= P(Z < 1.2376)

= 0.8917.

Finally, we can plug in the values we have found to obtain the probability we are looking for:

P(B | A) = P(A | B) * P(B) / P(A)

= 0.8917 * 0.8917 / (1 - 0.8917)

= 0.6306 (approximately).

Therefore, the probability that a randomly selected student's heart rate is under 125 bpm given that it is over 100 bpm is approximately 0.6306 or 63.06%.

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Complete Question

6. Assume that heart rate (in beats per minute, or bpm) before an exam for STA 100 students is distributed nor- mal, with a mean of 100 bpm and a standard deviation of 20.2 bpm. Assume all students in the following problem are selected from this population.

If we know a randomly selected students heart rate is over 100 (it is given), what is the probability that it is under 125?

The solutions to the quadratic equation x² = -7x - 8 are x equals  \(\frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\).

Given the quadratic equation in the question:

x² = -7x - 8

To find the solutions of the quadratic equation x² = -7x - 8, we can rearrange it into standard quadratic form, which is ax² + bx + c = 0, and apply the quadratic formula.

x² = -7x - 8

x² + 7x + 8 = 0

a = 1, b = 7 and c = 8

Plug these into the quadratic formula: ±

\(x = \frac{-b \± \sqrt{b^2 -4(ac)}}{2a} \\\\x = \frac{-7 \± \sqrt{7^2 -4(1*8)}}{2*1} \\\\x = \frac{-7 \± \sqrt{49 -4(8)}}{2} \\\\x = \frac{-7 \± \sqrt{49 - 32}}{2} \\\\x = \frac{-7 \± \sqrt{17}}{2} \\\\x = \frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\)

Therefore, the values of x are \(\frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\).

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Answer:

center = (-8, 7)

radius = 8 units

Step-by-step explanation:

Equation of a circle: \((x-h)^2+(y-k)^2=r^2\)

(where (h, k) is the center of the circle and r is the radius)

Rewrite the given equation:

\(x^2+y^2+16x-14y+49=0\)

\(\implies x^2+16x+y^2-14y+49=0\)

\(\implies (x+8)^2-64+(y-7)^2-49+49=0\)

\(\implies (x+8)^2+(y-7)^2=64\)

Therefore:

Answer:

The circle is centered at (8,0)

The circle has a radius of 10 units.

Step-by-step explanation:

trust

Answer:

83 1/3 %

Step-by-step explanation:

Take the number of black kittens over the total

5/6

Change to a decimal

.833333

Multiply by 100

83.33333%

.33333 repeating is 1/3

83 1/3 %

Answer:

\(83.33\%\)

Step-by-step explanation:

Number of kittens in the litter = 6

Number of Black kittens = 5

Number of Brown Kittens = 1

Now let's find the percentage of black kittens

\( = \frac{number \: \: of \: \: black \: \: kittens}{number \: \: of \: \: total \: \: kittens} \times 100\% \\ = \frac{5}{6} \times 100\% \\ \\ = \frac{500}{6} \times 100\% \\ = 83.33\%\)

Hope this helps you.

Answer:

80

Step-by-step explanation:

Remark

Every triangle has a measure of 180 degrees.

Equation

Let the base angle = x

x + x + 2x-20 = 180

Solution

4x - 20 = 180

4x = 180 + 20

4x = 200

x = 50

Conclusion

Base angle 1 = 50

Base angle 2 = 50

Vertex angle = 2*50 - 20

Vertex angle = 100 - 20

Vertex angle = 80

Answer:

it's blurry

Step-by-step explanation:

Answer:

. A golf ball is hit from the ground, and its height can be modeled by the equation h(t) = -16t2 + 128t, where h(t) represents the height (in feet) of the ballt seconds after contact.

Step-by-step explanation:

:D

A suitable process to model the accumulated damage up to time t, given that shocks occur according to a Poisson process of intensity lambda, is the Compound Poisson Process.

In a Compound Poisson Process, the number of shocks occurring up to time t follows a Poisson distribution with parameter lambda*t, while the magnitude of each shock's damage is determined by an independent and identically distributed (i.i.d.) random variable. The total damage up to time t is the sum of the damages caused by each individual shock. This process combines the random arrival of shocks from the Poisson process and the variability in damage caused by each shock. By modeling the damage accumulation in this way, we can capture both the randomness in the arrival of shocks and the uncertainty in the amount of damage caused by each shock.

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The equation represented as f(x) = x + 1/x + 2 is a function

From the question, we have the following parameters that can be used in our computation:

f(x) = x + 1/x + 2

The above equation is a rational equation whose numerator and denominator are linear functions

Equations with these properties are always functions

This is so because their x values do not have multiple y values

Hence, the equation f(x) = x + 1/x + 2 is a function

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The correct option is (b) sample size.

In the formula for calculating the standard deviation, the letter n represent  sample size.

What is standard deviation?

Standard deviation is a statistical standard measure in finance that, when applied to an investment's annual rate of return, sheds light on its historical volatility.

Some key features regarding the standard deviation are-

A square root of a value deduced from correlating data points to a population's collective mean is used to calculate standard deviation. The formula is:

Standard Deviation = \(\sqrt{\frac{summation n to i=1 (x_{i}-bar x )}{n-1} }\)

Where,

\(x_{i}\)= value of the i th point the the given data set.

\(barx\)= mean value

n = total number of data points.

Thus, the standard deviation, on the other hand, determines all ambiguity as risk, even when it is in the investor's favor, like above-average returns.

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not tryna be rude but theres no map

Step-by-step explanation:

a) The three figures are 480 km, 240 km, and 300 km.

b) Kenzi has driven 60 km further than Jafar.

We have,

a)

The three figures bearing B from A are:

1 cm = 200 km

This means,

AB = 2.4 cm

So,

2.4 x 200 = 480 km

And,

BC has two parts:

1.2 cm and 1.5 cm

1.2 cm x 200 km = 240 km

1.5 x 200 km = 300 km

The three figures are 480 km, 240 km, and 300 km.

Now,

Jafar distance.

= AB

= 480 km

Kenzi distance.

= BC

= 240 km + 300 km

= 540 km

The difference between the distance driven.

= 540 km - 480 km

= 60 km

This means,

Kenzi has driven 60 km further than Jafar.

Thus,

The three figures are 480 km, 240 km, and 300 km.

Kenzi has driven 60 km further than Jafar.

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The linear model for the number of purchases over time is:

p = 0.043t + 3.726

We have,

Let's assign the variable t as the number of months since January 2007, where t = 0 corresponds to January 2007.

Given data:

June 2007: p = 4,500 (in thousands, so p = 4.5)

September 2008: p = 5,100 (in thousands, so p = 5.1)

We can use these data points to set up a system of equations to solve for the slope (r) and the intercept (i) in the linear model p = rt + i.

Using the data points,

4.5 = r(18) + i (June 2007 corresponds to 18 months after January 2007)

5.1 = r(32) + i (September 2008 corresponds to 32 months after January 2007)

Solving this system of equations will give us the values of r and i.

Subtracting the second equation from the first equation:

4.5 - 5.1 = r(18) - r(32)

-0.6 = -14r

r = -0.6 / -14

r = 0.043

Substituting the value of r into one of the equations:

4.5 = 0.043(18) + i

4.5 = 0.774 + i

i = 4.5 - 0.774

i = 3.726

Therefore,

The linear model for the number of purchases over time is:

p = 0.043t + 3.726

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The time needed for light to travel 42000 Km is 0.14 second.  

Given that,

The speed of the light is = 3 × 10⁸ m/s

Distance travelled by light is = 42000 km = 42 × 10⁶ m [since 1 km = 10³ m]

We have to find the time needed to travel the distance 42000 km by the light.

We know that from the velocity formula,

Speed = Distance/Time

Time = Distance/Speed

Time = (42 × 10⁶)/(3 × 10⁸) = 14 × 10⁻² = 0.14 second.

Hence the time needed for light to travel 42000 Km is given by 0.14 second.  

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Hello!

If a pet store clerk suggested 5 small fish for a 6-gallon fish tank. In order to hold 40 small fish the needed size tank would be a 48-gallon fish tank.

Step-by-step explanation:

\(6\) ÷ \(5=1.2\)

\(5\) x \(1.2=48\)

Hope this helps!

Answer:

It’s b

Step-by-step explanation:

The product is 30 - t when soloved

Answer:\(-0.802; \ 1.517\)

Step-by-step explanation:

Given

\(3^x=x^4\)

Here, two functions are given that is \(y=3^x\) and \(y=x^4\)

Check for the intersection of the graph of two curves

From the graph, they cut at two different points  i.e. \(x=-0.802\ \text{and}\ x=1.517\)

Rest two roots are negative.