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The curved surface of cylinder is 484 cm^2 and height is 5.5 cm. Find its radius.​

Answer:

Two factors:

(x + 4) and (x - 11)

Step-by-step explanation:

Did not see list of possible binomials

Ron’s paycheck last week was $121.19. Given that Ron's paycheck this week was $17.43 less than his paycheck last week.

His paycheck this week was $103.76.

To find how much was Ron’s paycheck last week, we need to use the following formula. Let Ron’s paycheck last week be x. Then,x - 17.43 = 103.76.

To find x, add 17.43 to both sides of the equation, then we get;x - 17.43 + 17.43 = 103.76 + 17.43x = 121.19

Therefore, Ron’s paycheck last week was $121.19.Hence, the required answer is $121.19.

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Answer:

6/4

1 2/4

1 1/2

Step-by-step explanation:

3 x 2/4 = 3/2 or 1 1/2

6/4 reduces to 3/2 as factors of 2

1 2/4 simplifies to 1 1/2

1 1/2 is equal to 3/2

a) The 90% confidence interval for the average salary of an entry-level computer engineer is of: (16.28, 83.72).

b) The sample contains the value 80, hence it does not give sufficient evidence that the average salary of all entry-level computer engineers is different from $80,000.

c) The 90% confidence interval for the standard deviation of entry level salaries is of: (6.67, 389.86).

The bounds of the confidence interval are given according to the following rule:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

In which the variables of the equation are presented as follows:

The sample in this problem is given as follows:

30, 50, 70.

Hence the values of the parameters are given as follows:

\(\overline{x} = 50, s = 20, n = 3\)

The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 3 - 1 = 2 df, is t = 2.92.

Then the lower bound of the interval is of:

\(\overline{x} - t\frac{s}{\sqrt{n}} = 50 - 2.92\frac{20}{\sqrt{3}} = 16.28\)

The upper bound of the interval is of:

\(\overline{x} + t\frac{s}{\sqrt{n}} = 50 + 2.92\frac{20}{\sqrt{3}} = 83.72\)

The bounds of the confidence interval for the standard deviation are given as follows:

\(\frac{(n - 1)s^2}{\chi^2_\frac{\alpha}{2}} \leq \sigma \leq \frac{(n - 1)s^2}{\chi^2_{1 - \frac{\alpha}{2}}}\)

The critical values of the chi-square distribution with a confidence level of 90% and 2 df are given as follows:

\(\chi^2 = 0.1026, \chi^2 = 5.9915\)

Hence the lower bound of the interval is of:

2 x 20/5.9915 = 6.67.

The upper bound of the interval is of:

2 x 20/0.1026 = 389.86.

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Answer:

No

Step-by-step explanation:

No, because one of the x-value is used more than once, this graph is not a function.

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(1,2,4)

Range describes the y-values of a graph.

Range

Range is the y-values that a graph covers. Remember that the y-values are found on the vertical axis. If the graph is not continuous, then the values between the points are not included in the range. Similar to the range, the domain of a graph is the x-values that a graph covers. If there is a coordinate point with a y-value, then that y-value should be included in the range.

Finding Range

In order to find the range, we need to find all the unique y-values of the graph. Additionally, the range is given in numerical order. This means starting from the least value and going up to the greatest. The lowest y-value is 1, then 2, and finally 4. Even though there are two points where y = 2, we are only looking for unique values. This means that the range is (1,2,4).

The approximate number of students with Scores between 68 and 83 is 98.Answer: a. 98

The five-number summary for scores on a statistics exam is: 35, 68, 77, 83 and 97. In all, 196 students took this exam About how many students had scores between 68 and 83?

The five-number summary consists of the minimum value, the first quartile, the median, the third quartile, and the maximum value.

The interquartile range is the difference between the third and first quartiles. Interquartile range (IQR) = Q3 – Q1, where Q3 is the third quartile and Q1 is the first quartile. The 5-number summary for scores on a statistics exam is given below:

Minimum value = 35

First quartile Q1 = 68

Median = 77

Third quartile Q3 = 83

Maximum value = 97

The interval 68–83 is the range between Q1 and Q3.

Thus, it is the interquartile range.

The interquartile range is calculated as follows:IQR = Q3 – Q1 = 83 – 68 = 15

The interquartile range of the scores between 68 and 83 is 15. Therefore, the number of students with scores between 68 and 83 is roughly half of the total number of students. 196/2 = 98.

Thus, the approximate number of students with scores between 68 and 83 is 98.Answer: a. 98

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Answer:

idk

Step-by-step explanation:

Complementary angles are pair angles with the sum of 90 degrees. We have Two complementary angles are in the  ratio 3:7:

α = 3k

β = 7k

Then:

3k + 7k = 90°

10k = 90

k = 90/10

k = 9

The bigger angle is:

β = 7(9) = 63°

Two Angles are Supplementary when they add up to 180 degrees.  Then the supplementary angle for β is:

x = 180 - 63°

The two expressions that are equivalent to 4(7x + 2 + x) are:

1. 4(8x + 2)

2. 32x + 8

In the given expressions, we have 4(7x + 2 + x). To simplify this expression, we can distribute the 4 to each term inside the parentheses:

4(7x + 2 + x) = 4(8x + 2)

This simplification is equivalent to the expression 4(8x + 2).

Additionally, we can further simplify the expression 4(8x + 2) by multiplying:

4(8x + 2) = 32x + 8

Therefore, the expression 32x + 8 is also equivalent to 4(7x + 2 + x).

Both 4(8x + 2) and 32x + 8 represent the same value as 4(7x + 2 + x), and either expression can be used interchangeably in calculations or substitutions.

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Given statement: The rule of thumb for estimating the time of completion is 1.5 times what you originally think it will be.

Given statement is True.

The reason for this rule of thumb is that tasks often take longer than initially estimated due to unforeseen challenges, dependencies, and other factors that can cause delays.

By estimating the time of completion as 1.5 times the original estimate, you are accounting for these potential delays and allowing for a more realistic timeline.

This rule of thumb is not a hard and fast rule, and there will be cases where tasks take less or more time than 1.5 times the original estimate. However, it can be a helpful guideline for project planning and resource allocation, as it helps to ensure that sufficient time and resources are allocated to complete tasks within a realistic timeframe.

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The guy wire must be about 55 feet long and the slope of the guy wire, expressed as a fraction is 25/11.

We can use the Pythagorean Theorem to find the length of the guy wire. Let's call the length of the guy wire "g".

g^2 = 50^2 + 22^2

g^2 = 2500 + 484

g^2 = 2984

g ≈ 54.65

So the guy wire must be about 55 feet long.

The slope of the guy wire is the ratio of the vertical distance it covers to the horizontal distance it covers. In this case, the vertical distance is 50 feet (the height of the pole) and the horizontal distance is 22 feet. So the slope is

50/22 = 25/11

Therefore, the slope of the guy wire is 25/11.

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The energy transferred to any object by wrecking ball is proportional to force exerted on the object.

The law of conservation of energy states that energy can never be created nor destroyed but can be converted from one form to another.

The wrecking ball, have energy as a result of their motion and this energy is known as kinetic energy.

K.E = ¹/₂mv

where;

Based on the law of conservation of energy, when a wrecking ball hits another object, some of its kinetic energy will be transferred to the object while some of the kinetic energy will be converted into thermal energy.

The energy transferred to any object by wrecking ball is proportional to force exerted on the object.

K.E = force x displacement

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Answer:

9  < x  < 25

Step-by-step explanation:

To find the average value of the function f(x, y) = 8x + 5y over the given triangle, we need to calculate the double integral of f(x, y) over the region and then divide it by the area of the triangle.

The vertices of the triangle are (0, 0), (2, 0), and (0, 7). We can set up the integral as follows:

∬R f(x, y) dA = ∫₀² ∫₀ᵧ (8x + 5y) dy dx

Integrating with respect to y first, the inner integral becomes:

∫₀ᵧ (8x + 5y) dy = 8xy + (5y²/2) |₀ᵧ = 8xᵧ + (5ᵧ²/2)

Now integrating with respect to x, the outer integral becomes:

∫₀² (8xᵧ + (5ᵧ²/2)) dx = (4x²ᵧ + (5ᵧ²x)/2) |₀² = (8ᵧ + 10ᵧ² + 20ᵧ)

To find the area of the triangle, we can use the formula for the area of a triangle: A = (1/2) * base * height.

The base of the triangle is 2 and the height is 7.

A = (1/2) * 2 * 7 = 7

Finally, to find the average value, we divide the double integral by the area of the triangle:

Average value = (8ᵧ + 10ᵧ² + 20ᵧ) / 7

Simplifying this expression gives:

Average value = (8 + 10ᵧ + 20ᵧ) / 7 = (8 + 10(7) + 20(7)) / 7 = 142/7 = 20 2/7

Therefore, the correct answer is not listed among the options provided.

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Answer:

           y - 12 = 5(x - 3)    {the point-slope form of the equation}

            y = 5x + 9            {the slope-intercept form of the equation}

           5x - y = -9            {standard form of the equation}

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

y = 5x - 7     ⇒   m = 5

(3, 12)    ⇒   x₀ = 3,  y₀ = 12

So, the point-slope form of the equation:

y - 12 = 5(x - 3)

Therefore:

y - 12 = 5x - 3         {add 12 to both sides}

y = 5x + 9             ←  the slope-intercept form of the equation

y = 5x + 9               {subtract5x from both sides}

y - 5x = 9               {multiply both sides by (-1)}

5x - y = -9             ← the standard form of the equation

Answer:

17/25

Step-by-step explanation:

68/100

divided by 2

34/50

divided by 2

17/25

and 17/25 is as simplified as it's going to get.

Answer:

D. –5.2 + (–6.4) = –11.6

Step-by-step explanation:

First, you can eliminate A and C because 5.2 is positive. Since the red arrow is pointing left, it indicates that the number (-5.2) is negative.

Then, you look at the second arrow, the green one. It is pointing left, so it would be -6.4.

I hope this helps :)

Step-by-step explanation:

je........porte

tu.......portes

nous.......portons

vous........portez

ils......portent

Answer:

Step-by-step explanation:

3x-5-(4x+1) =

3x-5-4x-1 =

Now combine like terms

-x-6

One-to-One Functions. ... If no horizontal line intersects the graph of the function f in more than one point, then the function is 1 -to- 1 . A function f has an inverse f−1 (read f inverse) if and only if the function is 1 -to- 1 .

The implicit equation for the plane passing through the points (1, -3, -2), (-3, -7, -6), and (1, 0, 1) can be written as 2x + y - 3z + 4 = 0.

To find the implicit equation of a plane, we need to determine the coefficients of the equation that satisfy all three given points. Using the point-normal form of a plane equation, where (x, y, z) is a point on the plane and (a, b, c) is the normal vector, we can set up a system of equations.

By substituting the coordinates of the three points, we can solve for the coefficients. The resulting equation is 2x + y - 3z + 4 = 0, which represents the plane passing through the given points.

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Answer:

A. 17.5

Step-by-step explanation:

4x+8 27

L-------------M-------------------------N

<------------------ 6x -------------------->

LM = 4x+8

MN = 27

LN = 6x

LM + MN = LN

4x+8 + 27 = 6x

35 = 2x

17.5 = x

Answer:

code : fasmej ??

Step-by-step explanation:

1. F

2. A

3. S

4. M

5. E

6.J

Answer:

in kiloliters its 0.0035

Answer: 80000

Step-by-step explanation:

p=f

    a

24

0.003

NOTE:30  ÷10000=0.030km

Answer:

-3y-3/4+7y+1/4-3x

I hope It's the right answer!

Answer:

the second one is the answer:

-2x - 1/2 + 6y + 3x

Step-by-step explanation:

The difference between the median number of turkey sandwiches sold and the median number of ham sandwiches sold can be determined using the given data about the number of sandwiches sold.

It is not mentioned in the question stem, but it is necessary to have the data in order to calculate the median and find the difference between the two

.Here's how you can calculate the median and find the difference:1. List the number of turkey sandwiches sold and ham sandwiches sold in ascending order. For example, if the data is as follows:

Turkey: 10, 20, 30, 40, 50 Ham: 5, 10, 20, 25, 30, 35, 40, 452.

Calculate the median of the two lists separately. The median is the middle value when the list is in ascending order. If the list has an odd number of values, the median is the middle number. If the list has an even number of values, the median is the average of the two middle numbers.

For example, for the turkey list:

Median = (30 + 40) / 2

= 35

For the ham list: Median = (20 + 25) / 2

= 223.

Find the difference between the median number of turkey sandwiches sold and the median number of ham sandwiches sold.

Difference = 35 - 22

= 13

Therefore, the difference between the median number of turkey sandwiches sold and the median number of ham sandwiches sold is 13.

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Answer:

\(\frac{1}{\sqrt{2}}\)

Step-by-step explanation:

The five-number summary is:

Minimum: 9

First Quartile: 16.5

Median: 25.5

Third Quartile: 39

Maximum: 51

3. Range = 42

4. Interquartile range = 22.5

Given the data for the lengths as, 36, 15, 9, 22, 36, 14, 42, 45, 51, 29, 18, 20, to find the five-number summary of the data set, we would follow the steps below:

1. The numbers in ordered from the smallest to the largest would be:

9, 14, 15, 18, 20, 22, 29, 36, 36, 42, 45, 51

2. The five-number summary for the lengths in minutes would be:

3. Range of the data = max - min = 51 - 9 = 42

4. The interquartile range for the data set = Q3 - Q1 = 39 - 16.5

Interquartile range for the data set = 22.5

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