Lynn forms a solid by combining a cone and a cylinder.

What is the volume, in cubic centimeters, of the solid? Use 3.14 for π. Round your answer to the nearest whole number.

A: 236
B: 311
C: 349
D: 942

Thank you for helping!

Answer:2 + √3

Step-by-step explanation:

The value of tan 5pi/12 in decimal is 3.732050807. . .. Tan 5pi/12 can also be expressed using the equivalent of the given angle (5pi/12) in degrees (75°).

We know, using radian to degree conversion, θ in degrees = θ in radians × (180°/pi)

⇒ 5pi/12 radians = 5pi/12 × (180°/pi) = 75° or 75 degrees

∴ tan 5pi/12 = tan 5π/12 = tan(75°) = 2 + √3 or 3.7320508

The price of the watch before the discount is calculated to be £24.44.

As the total price of the watch and a pair of trainers is £53. 55 and the price of the trainer before the discount was £38, we first calculate the price of the trainers after the discount as follows;

discount on a pair of trainers = 15/100 × 38 =  £5.7

cost of trainers after discount =  £38 - 5.7 =  £32.3

Now the price of the watch after the discount can be calculated by subtraction as follows;

price of watch after discount = total price - price of trainers after discount

price of watch after discount =  £53. 55 - £32.3

price of watch after discount = £21.25

Now the price of the watch before the discount can be calculated as follows;

price of watch before discount = £21.25 × 15/100

price of watch before discount = £21.25 + £3.1875

price of watch before discount = £24.44

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The function in vertex form that models the path of the stream is:

\(y = (-5/9)(x - 3)^2 + 5\)

A location where two or more straight lines or curves intersect is referred to as a vertex . A vertex in geometry is sometimes referred to as a corner or an intersection point. The phrase is frequently used to refer to the highest or lowest point on a curve or surface, the place where two lines intersect to make an angle, and the point where two sides of a polygon meet.

The vertex form of the equation of a parabola is given by:

\(y = a(x - h)^2 + k\)

where (h, k) represents the vertex of the parabola.

Using the given vertex and the point (6,0), we can find the value of "a" and plug it into the vertex form to get the equation of the parabolic path of the water stream.

Step 1: Find the value of "a"

Since the vertex is (3,5), we know that:

h = 3

k = 5

Using the point (6,0), we can find the value of "a" as follows:

\(0 = a(6 - 3)^2 + 5\)

\(0 = 9a + 5\)

\(9a = -5\)

\(a = -5/9\)

Step 2: Plug in the values of h, k, and a into the vertex form:

\(y = (-5/9)(x - 3)^2 + 5\)

Therefore, the function in vertex form that models the path of the stream is:

\(y = (-5/9)(x - 3)^2 + 5\)

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yes, (-2,4) is the solution of the system of equation 4x² - 4y = 0.

To check whether the given points are the solution of the given system of equation 4x² - 4y = 0. We have to put the values of x = -2 and y = 4 in the given equation. If we get the result equals zero then (-2, 4) is the solution of 4x² - 4y = 0 and if the result is a non-zero number then (-2, 4) is not the solution of 4x² - 4y = 0.

⇒4x² - 4y = 0

⇒4(-2)² - 4 × 4 = 0

⇒4 × 4 - 4 × 4 = 0

⇒0 = 0

Here we get the result equal to zero, hence (-2,4) is the solution of the system of equation 4x² - 4y = 0.

--This question is incomplete, the complete question is

''Is (-2,4) a solution of the system of equation 4x² - 4y = 0?''--

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Answer:

y = 1/2x + 1

Step-by-step explanation:

Slope intercept form is writen as [ y = mx + b ], where m = slope and b = y-intercept.

We are already given the y-intercept which is 1. We just need to find the slope and we can do this by using the formula [ y2-y1/x2-x1 ].

3-1/4-0

2/4

1/2

Now, put everything we have into the formula.

y = 1/2x + 1

Best of Luck!

Based on the given line plot, the statement "Fewer of the musicians started to play at age 12 than at age 5" is not true.

Looking at the line plot, we can see that the X marks representing musicians are placed at age 12 more frequently than at age 5. Therefore, the statement that fewer musicians started to play at age 12 compared to age 5 is not supported by the data.

The other statements can be evaluated as follows:

The range of the ages shown is 8 years: True. The line plot displays ages ranging from 4 to 12, which corresponds to 8 years.

Most of the musicians started to play at age 9 or older: True. By observing the line plot, it can be seen that the majority of X marks are located at age 9 and above, indicating that most musicians started playing at age 9 or older.

There are 34 musicians included in the data: False. The number of musicians included in the data cannot be determined from the given line plot. The line plot does not provide any information about the total count of musicians represented.

Therefore, the statement "Fewer of the musicians started to play at age 12 than at age 5" is the one that is not true based on the given line plot.

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Research has shown that competent communicators achieve effectiveness by adjusting their behaviors to the person and situation (option e).

Effective communication involves being adaptable and responsive to the specific context, individual preferences, and the needs of the situation.

Competent communicators recognize that different people have different communication styles, preferences, and expectations. They understand the importance of tailoring their communication approach to effectively connect and engage with others.

This may involve using appropriate language, tone, non-verbal cues, and listening actively to understand the needs and perspectives of others.

By adapting their behaviors, competent communicators can build rapport, foster understanding, and promote effective communication exchanges. They are mindful of the social and cultural dynamics at play, and they strive to communicate in a way that is respectful, inclusive, and conducive to achieving mutual goals.

In summary, competent communicators understand that effective communication is not a one-size-fits-all approach. They adjust their behaviors to the person and situation, demonstrating flexibility and adaptability in order to enhance communication effectiveness.

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Competent communicators achieve effectiveness mostly by adjusting their behaviors to suit the person they are communicating with and the situation they find themselves in. While other factors, like having a broad vocabulary or giving feedback, play a part in effective communication, the former is considered the most crucial.

Research suggests that competent communicators achieve effectiveness mostly through adjusting their behaviors depending on the person they are communicating with and the situation they are in. This is option e. of your question. Communicating effectively involves behaviors like active listening, understanding the other person's point of view, being able to express thoughts and ideas clearly, and being polite and respectful. While a broad vocabulary (option b.) can be useful, it is not as crucial as adapting your behavior to fit the situation. Moreover, giving feedback (option d.) is a part of effective communication but not the sole defining factor. Apologizing when offending others (option c.) is also important but it doesn't necessarily make one a competent communicator. Using the same type of behavior in various situations (option a.) might not always work, as different situations and individuals require different communication styles.

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The Interquartile range i.e 1.5 (IQR) is used to identify outliers in a set of data which is the correct answer would be option (A).

We may build up a "fence" outside of Q1 and Q3 by using the Interquartile range (IQR) method of spotting outliers. Outliers are values that fall outside of this range.

To construct this barrier, we take 1.5 times the IQR, deduct it from Q1, and add it to Q3. This provides us with the lowest and maximum fence posts against which we will compare each observation.

Outliers are observations that are greater than 1.5 IQR below or above Q1. Minitab's default strategy for identifying outliers is this.

Therefore, the Interquartile range (IQR) is used to identify outliers in a set of data.

Hence, the correct answer would be option (A).

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Assuming a sample size of n, a mean purchase price of X, and a standard deviation of σ, the margin of error (E) for a 95% confidence interval can be calculated using the following formula:

E = 1.96 * (σ / √n)

Once we have the margin of error, we can calculate the upper and lower limits of the confidence interval as:

Upper limit = X + E
Lower limit = X- E

For example, if we assume a sample size of 100, a mean purchase price of $25,000, and a standard deviation of $5,000, the margin of error for a 95% confidence interval would be:

E = 1.96 * ($5,000 / √100) = $980.39

Thus, the upper and lower limits of the confidence interval would be:

Upper limit = $25,000 + $980.39 = $25,980.39
Lower limit = $25,000 - $980.39 = $24,019.61

Therefore, with 95% confidence, we can estimate that the true population mean car purchase price falls between $24,019.61 and $25,980.39.

However, I can explain how to calculate the 95% confidence interval for the car purchase price using these terms.

1. Sample mean (µ): The average car purchase price in your sample.
2. Sample size (n): The number of car prices in your sample.
3. Standard deviation (σ): The measure of how prices are spread out from the mean.
4. Margin of error (E): The maximum difference between the true population mean and the sample mean.

Using these terms, you can calculate the 95% confidence interval with the following formula:

Confidence interval = µ ± (E * σ / √n)

Once you have the lower and upper limits, you can present the confidence interval estimate in currency format (e.g., $25,000 to $30,000).

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Answer:

The answer will be 5×24×7=840

Answer:

how walk 20 kilometer

Step-by-step explanation:

one hour he walk 5 kilometer he walk 2 hours so he walk 10 kilometer every day so he walk 70 kilometer every week

9514 1404 393

Answer:

  11 7/16

Step-by-step explanation:

The integration resolves into finding the area of two triangles. The left has a height of (-3/8(-2/3)+2) = 2 1/4, and a width of (16/3-(-2/3)) = 6. Then its area is ...

  A = (1/2)bh = (1/2)(6)(2 1/4) = 6 3/4

__

The right triangle has a height of |(-3/8)(31/3) +2| = |-31/8+16/8| = 15/8. Its width is (31/3) -(16/3) = 5, so its area is ...

  A = (1/2)(5)(15/8) = 75/16 = 4 11/16

Then the total area, the value of the integral, is ...

  6 3/4 +4 11/16 = 10 23/16 = 11 7/16 . . . the value of the integral

Answer:

put it in desmos and turn it into table

Answer:

10 i think bc the only number you have and x is 10 which is equal to y

brainliest?

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

just subtract or divide

Answer:

12

Step-by-step explanation:

Subtract 5 by 17

Answer:

25x²-60x+36

Step-by-step explanation:

(5x-6)²

Expand the brackets.

(5x-6)(5x-6)

5x(5x-6)-6(5x-6)

Multiply.

25x²-30x-30x+36

Add or subtract the like terms.

25x²-60x+36

Perfect squares trinomials are those expressions which are found by squaring binomial expressions. The expansion of the given binomial expression, (5x - 6)² is (25x² + 36 - 60x).

Perfect squares trinomials are those expressions which are found by squaring binomial expressions. A few examples of perfect squares trinomials are,

a² + b² + 2ab = (a + b)²

a² + b² - 2ab = (a - b)²

The expansion of the given binomial expression, (5x - 6)² can be done as,

(5x - 6)²

= (5x)² + 6² - 2(5x)(6)

= 25x² + 36 - 60x

Hence, The expansion of the given binomial expression, (5x - 6)² is (25x² + 36 - 60x).

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Answer:

5) because ABCD is a rectangle => AC = BD

<=> 4x - 5 = 3x - 1

<=> 4x - 3x = -1 + 5

<=> x = 4

6) because EFGH is a rhombus

=> HF is the bisector of the angle EHG

=> EHF = GHF

<=> 3x - 15 = 2x + 9

<=> x = 24

a) We can be 95% confident that the true percentage of people under 20 years old who were eligible for a driver's license in 1995 is somewhere between 59.4% and 68.4%.

b) We can be 95% confident that the true percentage of people under 20 years old who were eligible for a driver's license in 2016 is somewhere between 37.2% and 46.2%.

c) Yes, the margin of error is the same in parts (a) and (b) because we used the same sample size, standard deviation, and confidence level to calculate both margins of error.

a. To calculate the margin of error, we use the formula:

Margin of error = z * (standard deviation / square root of sample size)

Where z is the z-score associated with our confidence level (in this case, 1.96 for a 95% confidence level), the standard deviation is the estimated standard deviation of the population (which we do not know, so we will use the standard deviation of our sample), and the sample size is 1200.

Let's assume that our sample of 1200 people has a standard deviation of 0.5 (we are not given this information, so we are making an assumption).

Margin of error = 1.96 * (0.5 / square root of 1200) = 0.045 or approximately 4.5%

This means that we can expect our sample estimate to be within 4.5% of the true percentage of people under 20 years old who were eligible for a driver's license in 1995, with 95% confidence.

To calculate the interval estimate, we need to add and subtract the margin of error from our sample estimate. The sample estimate is 63.9% (according to the report), so the interval estimate is:

Interval estimate = 63.9% +/- 4.5% = (59.4%, 68.4%)

b. Let's assume that our sample of 1200 people has a standard deviation of 0.5 (again, we are making an assumption).

Margin of error = 1.96 * (0.5 / square root of 1200) = 0.045 or approximately 4.5%

This means that we can expect our sample estimate to be within 4.5% of the true percentage of people under 20 years old who were eligible for a driver's license in 2016, with 95% confidence.

The sample estimate is 41.7% (according to the report), so the interval estimate is:

Interval estimate = 41.7% +/- 4.5% = (37.2%, 46.2%)

c. However, the sample estimates are different (63.9% for 1995 and 41.7% for 2016), which means that the interval estimates are also different.

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Complete Question:

Driver’s License Rates. Fewer young people are driving. In 1995, 63.9% of people under 20 years old who were eligible had a driver’s license. Bloomberg reported that percentage had dropped to 41.7% in 2016. Suppose these results are based on a random sample of 1200 people under 20 years old who were eligible to have a driver’s license in 1995 and again in 2016.

a. At 95% confidence, what is the margin of error and the interval estimate of the number of eligible people under 20 years old who had a driver’s license in 1995?

b. At 95% confidence, what is the margin of error and the interval estimate of the number of eligible people under 20 years old who had a driver’s license in 2016?

c. Is the margin of error the same in parts (a) and (b)? Why or why not?

Answer:

5g/cm³

Step-by-step explanation:

Answer:

13%

Step-by-step explanation:

Answer:

Hello There!!

Step-by-step explanation:

The answer is 13% as you convert 2 3/5 to an improper fraction which is 13/5. Convert this into a decimal which is 2.6 . 2.6 ÷20=0.13 ×100 (to get it as a fraction) which equals 13%.

hope this helps,have a great day!!

~Pinky~

Given data:

The total numbers of factories are n=9.

The numbers of fctories selected are r=5.

The expression for selecting 5 factories is,

Thus, there are 126 ways of selecting 5 factories.

The given function is: f(x) = -3/x + 57xTo find the average value of f(x) over the interval [0, 3),we can use the following formula:  where f(x) is the given function.

Let's calculate the definite integral of the given function f(x):

We can substitute upper limit 3 in the function to find the integral as follows:  ∴ ∫₀³ f(x) dx

= [ -3 ln|x| + 5x²/2 ] ₀³

= [ -3 ln|3| + 5(3²/2) ] - [ -3 ln|0| + 5(0²/2) ]

= [ -3 ln|3| + 22.5 ]

Therefore, the average value of f(x) over the interval [0, 3) is given by: =

=  [-3 ln|3| + 22.5]/(3 - 0)

= [-3 ln|3| + 22.5]/3

Now, let's convert the natural logarithm of 3 into a decimal and simplify the fraction.

 ≈ [-3(1.0986) + 22.5]/3

= [-1.650 + 22.5]/3

= 20.85/3

= 6.95

Answer: The average value of f(x) is 6.95.

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The height of the base of the triangular prism is 3.7 m.

The area of both triangular bases is 11.1 m².

The lateral surface area is 66 m².

The total surface area of the prism is 77.1 m².

The height of the base of the triangular prism is calculated as follows;

Apply Pythagoras theorem as follows;

half of the base 3/2 = 1.5

h =  √ (4² - 1.5²)

h = 3.7 m

The area of both triangular bases is calculated as follows;

B = 3 m x 3.7 m

B = 11.1 m²

The lateral surface area is calculated as follows;

L.S.A = 6 m ( 4 m + 3m + 4 m )

L.S.A = 66 m²

The total surface area of the prism is calculated as follows;

T.S.A = 66 m² +  11.1 m²

T.S.A = 77.1 m²

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The correct answer is B i.e. Standard Error of the Mean (SE) = σ / √(n)

The measure of the variability of the sample means, also known as the standard error of the mean, can be calculated using the formula:

Standard Error of the Mean (SE) = σ / √(n)

sigma is the population standard deviation,

n is the sample size.

The standard error of the mean represents the variability or dispersion of the sample means obtained from repeated samples of size n from a population. It indicates how much the sample means are likely to differ from the true population mean.

The smaller the standard error of the mean, the less variability is expected among the sample means, indicating a more precise estimate of the population mean.

Therefore, the correct answer is B i.e. Standard Error of the Mean (SE) = σ / √(n)

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Given question is incomplete, the complete question is below

A measure of variability of the sample means xbar in repeated samples of n observations randomly selected from a given population is

a. s

b. σ/√(n)

c. s/√(n)

d. σ

To express the time of 58.329 seconds in word form, we can write it as "fifty-eight point three two nine seconds."

Word form is the written or spoken representation of a number using words. For example, the number 256 can be expressed in word form as "two hundred fifty-six".

To express the time of 58.329 seconds in word form, we can write it as "fifty-eight point three two nine seconds."

We can also express this as a mixed number by separating the whole number part and the fractional part:

58 + 0.329 = 58 and 329/1000

So, we can write it as "fifty-eight and three hundred twenty-nine thousandths seconds."

A mixed number can help us express the decimal in word form by separating it into two parts - the whole number part and the fractional part. This makes it easier to read and understand the value of the decimal in words.

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In the given scenario, the operations A - C, ATCT, AT, CA, and A - B are defined, while BA is not defined

A - C: The operation A - C is defined when the matrices A and C have the same dimensions. Since A is a 2 x 7 matrix and C is an 8 x 2 matrix, their subtraction (A - C) is not defined due to incompatible dimensions.

ATCT: The operation ATCT is defined when both matrices A and C are compatible for matrix multiplication. Since A is a 2 x 7 matrix and C is an 8 x 2 matrix, their product (ATCT) is defined, resulting in a 7 x 8 matrix.

AT: The operation AT represents the transpose of matrix A, which is defined for any matrix. Therefore, AT is defined, resulting in a 7 x 2 matrix.

CA: The operation CA is defined when both matrices C and A are compatible for matrix multiplication. Since C is an 8 x 2 matrix and A is a 2 x 7 matrix, their product (CA) is defined, resulting in an 8 x 7 matrix.

A - B: The operation A - B is defined when both matrices A and B have the same dimensions. Since both A and B are 2 x 7 matrices, their subtraction (A - B) is defined and results in a 2 x 7 matrix.

BA: The operation BA is not defined since the number of columns in matrix B (7 columns) is not equal to the number of rows in matrix A (2 rows), which violates the compatibility requirement for matrix multiplication.

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Answer:

\(x + y = 84\)

\(x^2 = 6 + y\)

Step-by-step explanation:

Given

x = First Number

y = Second Number

Required

Write a system of equations

Sum is 84

This is represented as:

\(x + y = 84\)

Square of first is 6 more than the second

This is represented as:

\(x^2 = 6 + y\)

Hence, the equations are:

\(x + y = 84\)

\(x^2 = 6 + y\)

Answer: for plato users

y = -x+ 84

y= x^2 + -6

Step-by-step explanation:

I just took the test

The one that is a step used in the construction of an equilateral triangle inscribed in a circle  is:

B. draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter

The steps to construct an equilateral triangle inscribed in a circle are:

1. Draw a point that will be the center of the circle. Label this "point O". Technically, it doesn't matter which character you use to represent a point.

2. Draw a perfect circle centered at point O using a compass.

3. Use a ruler to draw a straight vertical line through point O. Extend this line beyond the boundaries of the circle. 4) Draw a point where the line and the circle intersect. Label the bottom point "Point W" and the top point "Point X".

5) Draw a second circle. The center of this circle is point W and the radius extends to point O.

6) Mark both places where the two circles intersect. Label the left point "Point Y" and the right point "Point Z".

7) Connect the points X, Y and Z with a ruler or straightedge. 

Looking at the options, the only correct step is:

B. draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter

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Answer:

2A=A+A

Step-by-step explanation:

2A=A*A, not A+A