The radius of a volleyball is 0.05 m, calculate its volume.​

The Domain: (-∞, -3) ∪ (-3, 6) ∪ (6, ∞) and Range: (-∞, 0) ∪ (0, ∞).

What is domain?

The domain of a function refers to the set of all possible input values (also known as the independent variable) for which the function is defined.

According to question:

In this case, the denominator of the function is a quadratic expression, and we know that dividing by zero is undefined. Therefore, we need to find the values of x that make the denominator equal to zero, and exclude those values from the domain.

To find the values that make the denominator equal to zero, we can factor it as follows:

x² - 3x - 18 = 0

(x - 6)(x + 3) = 0

So, the denominator is equal to zero when x = 6 or x = -3. Therefore, the domain of the function is all real numbers except x = 6 and x = -3.

Domain: (-∞, -3) ∪ (-3, 6) ∪ (6, ∞)

The range of a function consists of all possible output values of the function, given the domain of the function.

To find the range of this function, we need to analyze the behavior of the function as x approaches positive or negative infinity.

As x approaches positive infinity, both the numerator and denominator of the function approach positive infinity. Therefore, the function approaches zero.

As x approaches negative infinity, both the numerator and denominator of the function approach negative infinity. Therefore, the function approaches zero.

Since the function approaches zero as x approaches positive or negative infinity, we can say that the range of the function is all real numbers except zero.

Range: (-∞, 0) ∪ (0, ∞).

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Answer: C

she donates a for 12 months, the 12 in the a * 12=300. the a is the fixed amount, meaning she will donate a 12 times in a year.

Positive number is a square root

On solving the provided question, we can say that Probability(A and B) = P(A)P(B|A) and P(E or F) = P(E) + P(F) - P(E and F)

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

Probability(A and B) = P(A)P(B|A).

P(A and B) = P(B and A), this may also be written as P(A and B) = P(B)P(A|B).

Using the general multiplication rule, we have

P(E and F) = P(E)P(F|E)

.392 = P(E)(.7)

P(E) = .56

   P(E and F) = P(F)P(E|F)

.392 = P(F)(.56), so

P(F) = .7

P(E or F) = P(E) + P(F) - P(E and F)

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Answer:

23

Step-by-step explanation:

the median is the "Middle" number of the set.21 and 25 are the middle numbers of the set. so now find the middle of 21 and 25.

21 22 23 24 25

23 is the median of the data set

Answer:

2

Step-by-step explanation:

Answer:

here

alternate exterior angles--∠1, ∠8 and ∠2, ∠7

alternate interior angles--∠3, ∠6 and ∠4, ∠5

corresponding angles--∠1, ∠5 and ∠2, ∠6

vertical angles--∠2, ∠3 and ∠5, ∠8

Step-by-step explanation:

Answer:

here

alternate exterior angles--∠1, ∠8 and ∠2, ∠7

alternate interior angles--∠3, ∠6 and ∠4, ∠5

corresponding angles--∠1, ∠5 and ∠2, ∠6

vertical angles--∠2, ∠3 and ∠5, ∠8

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The range of the function is - ∞ < y < 2

The range of the function are the set of output values of the function.

From the given graph, the values of the graph increases from negative infinity and ends at 2

So, the range of the function is - ∞ < y < 2

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Answer:

This is what internet says. Maybe this helps.

Answer:

63 centimeters

Step-by-step explanation:

Answer: 63 cm tall.

Step-by-step explanation: Yolanda's sunflower is 12 cm more than Jean's sunflower. Yolanda's sunflower is 75cm. To find Jean's sunflower's size in cm simply subtract 12 cm from 75 cm.

75 = 12 = 63

So, Jean's sunflower is 63 centimeters tall.

Answer: 10

Step-by-step explanation:

Answer:

  1/60 gallon

Step-by-step explanation:

You want to know what is left of 4/5 gallon of paint if 3/4 gallon was used to paint a doghouse, and 2/3 of the remaining amount was used to paint a door.

To find the amount remaining we subtract the amount used for the doghouse from the original amount:

  4/5 -3/4 = (16 -15)/20 = 1/20 . . . . . gallon

2/3 of that was used, so 1/3 of it remains:

  (1/3)(1/20 gallon) = 1/60 gallon

There is 1/60 of a gallon of paint left in the can.

__

Additional comment

In a standard size gallon paint can, that's about 0.11 inches of paint in the bottom.

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The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

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Equations with a single unknown can be powerful tools in helping us understand complex phenomena and make predictions about how they will behave.

Yes, equations with a single unknown can be very helpful in understanding various phenomena. Mathematical equations allow us to express relationships between different variables and make predictions about how they will behave under different conditions. By solving equations, we can find the values of unknown variables and gain a deeper understanding of the system we are studying.

Other examples of equations with a single unknown that have had a significant impact include Newton's second law of motion, F=ma, which relates force (F) to mass (m) and acceleration (a), and the ideal gas law, PV=nRT, which relates pressure (P), volume (V), number of moles (n), and temperature (T) of a gas.

equations with a single unknown can be powerful tools in helping us understand complex phenomena and make predictions about how they will behave.

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Answer:

the last one

Step-by-step explanation:

i think

The number of weeks to produce 225 units will be 10.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

The given expression for the number of the unit produced is written as below,

s(t) = 14√4t + 44

For 225 units the number of weeks required will be calculated as:-

s(t) = 14√4t + 44

225 = 14√4t + 44

181 = 14√4t

4√t = (181 / 14 )

√t = ( 181 / 56 )

t = ( 181 / 56 )²

t = 10 weeks

Therefore, the number of weeks to produce 225 units will be 10.

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Answer:

(12,15) , (-3,-5)

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Add 34 to both sides.

14x = 11x + 63

Subtract 11x from both sides

3x = 63

Divide both sides by 3

21

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Answer:

The answer should be 5.003, you can round if you want to 5

Step-by-step explanation:

Answer:

5.93

Step-by-step explanation:

\(Average= \frac{9+5/9+7+2/9+2+7/36+4+3/4}{4} = 5.930555\) or \(\frac{427}{72}\)

9514 1404 393

Answer:

  (0, -3)

Step-by-step explanation:

The slope is the same for any segment of the line. The slope from (0, y) to (3, 0) is the same as from (4, 1) to (3, 0).

  Δy/Δx = (y -0)/(0 -3) = (1 -0)/(4 -3)

  y = -3(1/1) = -3 . . . . . multiply by -3

The y-intercept is (0, -3).

The statement would be true, you are correct!

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Answer:

\(b = 90\)

\(c=80\)

\(d =100\)

Step-by-step explanation:

Given

See attachment

Required

Find b, c and d

First, we solve for b using:

\(b + 10 + b - 10 = 180\) --- base angles of a parallelogram

Collect like terms

\(b + b =180+10-10\)

\(2b = 180\)

Solve for b

\(b = 180/2\)

\(b = 90\)

Then, we have:

\(d =b + 10\)

\(c = b - 10\) --- opposite angles

So, we have:

\(d =90 + 10\)

\(d =100\)

\(c = 90 - 10\)

\(c=80\)

Answer:

3 3/5 as an improper fraction = 18/5

Answer:

18/5

Step-by-step explanation:

To find the improper fraction change the whole number into a fraction:

3 *5/5 = 15/5 which is the same as 3

then add the remaining 3/5 to the fraction

15/5 + 3/5

= 18/5

Answer:

The 95% confidence interval  is   \( 2.354 <   3.526 \)

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  5

    The sample  data is  3.32  2.53  3.45  2.38   3.01

Gnerally the sample mean is mathematically represented as

      \(\= x  =  \frac{\sum x_i}{n}\)

=>    \(\= x  =  \frac{3.32+  2.53 +3.45+ 2.38+ 3.01 }{5}\)

=>    \(\= x  =   2.94 \)

Generally the standard deviation is mathematically represented as

     \(s =  \sqrt{ \frac{ \sum (x_i -  \= x )^2}{n-1} }\)

=> \(s =  \sqrt{ \frac{  ( 3.32 -  2.94  )^2 +  ( 2.53 -  2.94  )^2+ \cdots + ( 3.01  -  2.94  )^2}{5-1} }\)

=>  \(s =   0.472 \)  

Generally the degree of freedom is mathematically represented  as

    \(df =  n-1\)

=>  \(df =  5-1\)

=>  \(df =  4 \)    

From the question we are told the confidence level is  95% , hence the level of significance is  

      \(\alpha = (100 - 95 ) \%\)

=>   \(\alpha = 0.05\)

Generally from the t distribution table the critical value  of  \(\frac{\alpha }{2}\) at a degree of freedom of   \(df =  4 \)  is  

   \(t_{\frac{\alpha }{2} ,df } =  2.77\)

Generally the margin of error is mathematically represented as  

      \(E =t_{\frac{\alpha }{2} ,df }  *  \frac{\sigma }{\sqrt{n} }\)

        \(E = 2.77 *  \frac{0.472 }{\sqrt{5} }\)

        \(E = 0.586 \)

Generally 95% confidence interval is mathematically represented as  

      \(\= x -E <  \mu <  \=x  +E\)

     \(2.94-0.586 <  2.94  + 0.586\)

     \( 2.354 <   3.526 \)

Answer:

D

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer: 2a < 2b

Step-by-step explanation:

We are given a statement:

a < b and b < c, then 2a ____ 2b

We can use simple numbers that make the statement true.

Where,

a = 2

b = 3

c = 4

Now lets plug it in.

2 < 3 and 3 < 4, then 2(2) ____ 2(3)

and lets simplify:

2 < 3 and 3 < 4, then 4 ____ 6

We can see that 4 is less than 6,

so as a is less than b, 2a is less than 2b.

The only thing changing is the coefficient being multiplied by the variables a and b.

The acceleration of the collar at point A is 5 ft/s^2.

A) To determine the normal force on the collar at point A, we need to consider the forces acting on the collar. The only force acting on the collar in the vertical direction is the weight of the collar (5 lb), which is balanced by the normal force exerted by the rod. Therefore, we can write:

N - 5 = 0

where N is the normal force. Solving for N, we get:

N = 5 lb

B) To determine the acceleration of the collar at point A, we need to use Newton's second law, which states that the net force acting on an object is equal to its mass times its acceleration. The net force on the collar is given by the force exerted by the spring, which is equal to the spring constant times the displacement of the collar from its unstretched length. At point A, the displacement of the collar is:

x = L - y = 3 - 0 = 3 ft

where L is the length of the rod and y is the position of the collar on the rod. Therefore, the force exerted by the spring is:

F = kx = 10 lb/ft × 3 ft = 30 lb

The weight of the collar is:

W = mg = 5 lb

where g is the acceleration due to gravity. The net force on the collar is therefore:

Fnet = F - W = 30 - 5 = 25 lb

Using Newton's second law, we can write:

Fnet = ma

where a is the acceleration of the collar. Solving for a, we get:

a = Fnet / m = 25 lb / 5 lb = 5 ft/s^2

Therefore, the acceleration of the collar at point A is 5 ft/s^2.

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