If the radius of a circle is 17 cm, then the diameter of the circle is 34 cm. If the diameter is 34 cm, then circumference of the circle is approximately 107 cm. Determine if both statements are TRUE or FALSE

A random variable is a quantitative outcome of a chance experiment.

A probability distribution includes the likelihood of each possible outcome.

A random variable is a variable whose value is determined by chance or randomness. It is often used to represent a numerical outcome of a chance experiment, such as the result of a coin toss, the roll of a die, or the outcome of a survey. Random variables can take on any numerical value, but it is often useful to assign probabilities to each possible value. This probability, known as a probability distribution or probability density function, describes the likelihood that a given value of the random variable will occur.

A normal distribution is a type of probability distribution that is symmetrical and bell-shaped, with the mean, median, and mode all equal. The values of the distribution are spread out around the mean, with the majority of the values within one standard deviation of the mean. A normal distribution is also known as a Gaussian distribution, as it was discovered by Carl Friedrich Gauss in the early 19th century.

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Option(a) is correct. The volatility of the underlying is captured in the binomial model by the difference between the up and down factors.

A binomial model describes the number of survivors, x, in n independent tests. Predetermined tests, statistically independent results for every test, and a constant survival probability throughout the tests are requirements. Based on the binomial distribution model, we can calculate the probability of observing a specified number of "successes" in the case of repeated processes (for example, in a set of patients).

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Answer:

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

Step-by-step explanation:

60+x-45+x=180

60-45+2x=180

15+2x=180

2x=180-15

2x=165

x=165/2

x=82.5

Answer:

x = 82.5

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180, that is

x + x - 45 + 60 = 180, that is

2x + 15 = 180 ( subtract 15 from both sides )

2x = 165 ( divide both sides by 2 )

x = 82.5

Answer:

1/4

Step-by-step explanation:

when k=99

=>99=100-4n

=>4n=100-99

=>4n=1

=>n=1/4

Answer:

y= -1/2x-7

Step-by-step explanation:

Slope= (−6)−(−5)/(−2)−(−4)=−1/2=−1/2

y-intercept= -7

Answer:

\(\sqrt{\frac{3V}{\pi*h}} = r\)

Step-by-step explanation:

\(V = \frac{1}{3}\pi r^2h\\3V = \pi r^2h\\\frac{3V}{\pi*h} = r^2\\\sqrt{\frac{3V}{\pi*h}} = r\)

Answer:

r = +/- \(\sqrt{\frac{3v}{\pi h}\}\)

Step-by-step explanation:

v = 1/3 pi r^2 h

multiply both sides by 3

3v = pi r^2 h

dived both sides by pi h

3v/pi h = r^2

take sqrt of both sides

+/- sqrt( 3v/pi h) = r

Answer:

The answer of that questions is B: 9

Answer:

3$

Step-by-step explanation:

Let x be t-shirts and y socks.

4x + 3y= $37

2y + 5x= $41

x= (37 - 3y) ÷ 4

2y + 5((37-3y)÷4)=41

y=3

The provided limit represents the derivative of a function f at some number c. We need to determine the function f and the number c.

The given limit is:

lim(x → c) [5(x + 2)²(x + 2) - 18]

To determine f and c, we need to rewrite the limit in a form that matches the definition of a derivative. The derivative of a function f at a number c is defined as the limit of the difference quotient as x approaches c.

Let's simplify the given expression:

lim(x → c) [5(x + 2)²(x + 2) - 18]

= lim(x → c) [5(x + 2)³ - 18]

Comparing this expression with the definition of the derivative, we can identify that f(x) = 5(x + 2)³ and c = -2.

Therefore, the function f is f(x) = 5(x + 2)³ and the number c is -2.

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To find the polar equation for the curve represented by the given cartesian equation xy=12, we can make use of the conversion formulas x=r*cos(theta) and y=r*sin(theta). Substituting these into the given equation, we get:

r*cos(theta) * r*sin(theta) = 12

Simplifying this, we get:

r^2*sin(theta)*cos(theta) = 12

Using the identity sin(2*theta) = 2*sin(theta)*cos(theta), we can rewrite this as:

r^2*sin(2*theta) = 24

Dividing both sides by 2 and simplifying, we get the polar equation:

r = 12 / sin(2*theta)

This is the polar equation for the curve represented by the given cartesian equation xy=12.

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When measuring time, a part of a whole is not a whole when using units smaller than the whole unit of time.

For example, if we measure time in hours, then a part of an hour, such as 30 minutes, is not a whole. Similarly, if we measure time in minutes, then a part of a minute, such as 30 seconds, is not a whole.

In such cases, we need to convert the part into a fraction or decimal of the whole unit of time. For instance, 30 minutes is half of an hour, and 30 seconds is half of a minute.

It is important to keep track of the units of time being used and make appropriate conversions when necessary to ensure accurate and meaningful measurements.

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(a) Yes, the air in the house would exceed the long-term health standard if the groundwater is in equilibrium with the air in the house.

(b) The budget equation for TCE is dct/dt = k(c+ - CT) - Q(ca - CT).

(c) The characteristic time t for TCE to build up in the house from zero to unhealthful (long-term exposure) if there is no ventilation is given by t = Ahk/Q. For the given values, t = 1.4 years. A large value of t indicates a significant TCE problem.

(d) The minimum value of Q to keep CT below 20 ppm is 160 cfm. This is more than the residential requirement of 40 cfm.

(a) The Henry's Law constant for TCE is 0.4, which means that the concentration of TCE in air at equilibrium with water is 40% of the concentration in water. The groundwater concentration is 110 ppm, so the equilibrium air concentration would be 44 ppm. This exceeds the long-term health standard of 25 ppm.

(b) The flux of TCE through the floor is given by FT = k(c+ - CT), where k is a measured constant, c+ is the concentration of TCE in the groundwater, and CT is the concentration of TCE in the air in the house. The normal strategy for remediating vapor intrusion is to install fans in the house that ventilate the house with outside air. The outside ambient air has a concentration of ca. The budget equation for TCE is dct/dt = k(c+ - CT) - Q(ca - CT), where dct/dt is the rate of change of the concentration of TCE in the house, k is the flux constant, c+ is the concentration of TCE in the groundwater, CT is the concentration of TCE in the air in the house, Q is the ventilation rate, and ca is the concentration of TCE in the outside air.

(c) The characteristic time t for TCE to build up in the house from zero to unhealthful (long-term exposure) if there is no ventilation is given by t = Ahk/Q, where Ah is the area of the house, k is the flux constant, and Q is the ventilation rate. For the given values, t = 1.4 years. A large value of t indicates a significant TCE problem.

(d) The minimum value of Q to keep CT below 20 ppm is 160 cfm. This is more than the residential requirement of 40 cfm. The difference is due to the fact that the groundwater concentration is much higher than the ambient air concentration.

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Answer:33

Step-by-step explanation: Subtract 91 by 58

After that it gives you 33 so the beans weigh 33 more g's than the rice

Answer:

The beans weigh 33 grams more than the rice.

Step-by-step explanation:

To solve this, find the difference between the two numbers by subtracting the smaller number from the larger one.

91-58=33

Answer:

A.) 0.33

Step-by-step explanation:

By answering the presented question, we may conclude that Therefore, equation the cost per pound of turkey is $1.99 and the cost per pound of ham is \($2.39\)  .

In mathematics, an equation is an assertion that affirms the equivalence of two factors. An algebraic equation (=) separates two sides of an equation. For instance, the assertion \("2x + 3 = 9"\) states that the word "2x + 3" corresponds to the number "9".

The goal of solution solving is to figure out which variable(s) must still be adjusted for the equations to be true. It is possible to have simple or intricate equations, recurring or complex equations, and equations with one or more components.

For example, in the equations  \("x2 + 2x - 3 = 0,"\) the variable x is lifted to the powercell. Lines are utilised in many areas of mathematics, include algebra, arithmetic, and geometry.

Therefore,Let's denote the cost per pound of turkey as $t, and the cost per pound of ham as $h. Then we can write the following system of linear equations.

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Given:

To Determine: The value of the expression when x = - 7

Solution

Substitute x = -7 into the expression

Hence, the value of the expression is 138, OPTION A

Dissatisfied customers are likely to share their negative experiences with an average of 9-15 people, but with the reach of social media, their impact can be significantly amplified, potentially influencing a wider audience and damaging a salesperson's reputation and sales.

When dissatisfied with a product or service, customers are more likely to share their negative experiences with others. The exact number of people they may tell can vary, but it's often cited that dissatisfied customers will share their negative experiences with an average of 9 to 15 other people.

This number can increase significantly in the age of social media, where dissatisfied customers have the ability to reach a much larger audience through online platforms and reviews. Therefore, it's crucial for salespeople to address customer concerns and ensure customer satisfaction to prevent negative word-of-mouth and potential damage to their reputation.

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The exponential function that passes through the points (2,9) and (3,27) is y = 3ˣ

An exponential function is a mathematical function of the form f(x) = aˣ, where a is a constant greater than zero and not equal to one, and x is the variable. Exponential functions are characterized by the fact that they exhibit exponential growth or decay, meaning that the function value increases or decreases rapidly as x increases or decreases.

To write an exponential function in the form y = abˣ, we need to find the values of a and b. We can use the two given points to form a system of equations:

When x = 2, y = 9

9 = a(b)²

When x = 3, y = 27

27 = a(b)³

We can solve this system of equations for a and b by dividing the second equation by the first equation:

27/9 = (a(b)³)/(a(b)²)

3 = b

Now we can substitute b = 3 into either of the equations to solve for a. Let's use the first equation:

9 = a(3)²

9 = 9a

a = 1

Therefore, the exponential function that passes through the points (2,9) and (3,27) is:

y = 1(3ˣ)

or

y = 3ˣ

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Answer: a. To create a relative frequency table, first find the frequency of each number of jobs by counting how many times each number appears in the data set. Then, divide each frequency by the total number of students in the class to find the relative frequency (or percent) of each number of jobs. The table would look something like this:

Number of jobs Frequency Relative frequency (percent)

0                        4                                  20%

1                         7                                 35%

2                         7                                 35%

3                         3                                 15%

b. To find the mean of a data set, add up all the values and divide by the number of values. In this case, the mean would be calculated like this: (1+2+0+0+1+3+1+2+1+2+1+0+3+1+2+3+1+0+1+2+0+2) / 22 = 1.3636363636363635

c. To find the median of a data set, first put the values in order from least to greatest. If the number of values is odd, the median is the middle value. If the number of values is even, the median is the average of the two middle values. In this case, the values in order are: 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3. Since there are 22 values, the median is the average of the 11th and 12th values, which is (1+1) / 2 = 1

d. To find the mode of a data set, look for the value that appears most often. In this case, the mode is 1, because it appears 7 times, more than any other value.

e. To find the range of a data set, subtract the smallest value from the largest value. In this case, the range would be 3 - 0 = 3.

Therefore, it can be said that the given statement is true.

Ian and Rosa race in a speed skating competition. Ian records a time of 42.839 seconds. Rosa records a time of 42.782 seconds. The statement that is true is that Rosa finished the race earlier than Ian with a time of 42.782 seconds.

What is the statement?

In the given scenario, Ian's time is 42.839 seconds and Rosa's time is 42.782 seconds. The statement that is true is: Rosa finished the race earlier than Ian with a time of 42.782 seconds. Here, the difference between the two times (Ian's time and Rosa's time) is 0.057 seconds. This means that Rosa was 0.057 seconds faster than Ian while skating and completed the race earlier than Ian.

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Answer:

5y+4x

Step-by-step explanation:

Answer:

4x + 5y

Step-by-step explanation:

3y + 3x + 2y + x

4x + 5y

Answer:

(a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^(n-1) b^1 + C(n, 2)a^(n-2) b^2 + ... + C(n, n-1)a^1 b^(n-1) + C(n, n)a^0 b^n

The binomial expansion of (2x - 3y)^5 is:

32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5

The binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

The given expression is (2x-3y)⁵.

In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial.

(2x)⁵+⁵c₁(2x)⁴(3y)¹+⁵C₂(2x)³(3y)²+⁵C₃(2x)²(3y)³+⁵C₄(2x)(3y)⁴+⁵C₅(3y)⁵

= 32x⁵+5(16x⁴)(3y)+10.(8x³)(9y²)+10(4x²)(27y³)+5(2x)(81y⁴)+243y⁵

= 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵

Therefore, the binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

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Answer:

She travels 220 yards per minute.

Step-by-step explanation:

Answer:

20/27

Step-by-step explanation:

Answer:

a and d

Step-by-step explanation:

these simplify to .77 for A and .81 for B

Hey there,

We have,

f(x) = x² + 11x + 30g(x) = x + 6

Now,

(f.g)(x) = f(g(x))

Substituting...

g(x) = x + 6f(g(x)) = f(x + 6)

Now,

f(x + 6)= (x + 6)² + 11(x + 6) + 30= x² + 12x + 36 + 11x + 66 + 30= x² + 23x + 132

So,The value is x² + 23x + 132

Answer:

A and e

Step-by-step explanation:

Robyn has 4 important files saved on her computer.

To solve this problem, we can use a simple formula that relates the total space occupied by the files to the size of each file:

Total space occupied = Size of each file x Number of files

In this case, we know the total space occupied (84.6 megabytes) and the size of each file (21.15 megabytes), so we can rearrange the formula to solve for the number of files:

Number of files = Total space occupied ÷ Size of each file

Plugging in the values we know, we get:

Number of files = 84.6 megabytes ÷ 21.15 megabytes per file

Simplifying this expression gives us:

Number of files = 4

Therefore, Robyn has 4 important files saved on her computer.

It's important to note that this problem assumes that each file uses exactly 21.15 megabytes of memory. In reality, file sizes can vary depending on their content, so this may not always be the case. Additionally, it's worth noting that file size can be affected by various factors such as compression and encoding, so the actual size of a file on disk may differ from its theoretical size. Nonetheless, for the purposes of this problem, we can assume that each file uses exactly 21.15 megabytes of memory.

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Answer:

350 millilitres

Step-by-step explanation:

70/100×500=350