Problem 2: Choose 16 randomly selected numbers from 2 to 200 in the blanks of the table below: 55 5 65 12 20 191 100 78 89 120 65 100 66 99 86 117 Create a Histogram with 5 bins manually. Create Stem-

Answer:

the range is 0 to +infinity

Step-by-step explanation:

you can draw the function to check

A function assigns the value of each element of one set to the other specific element of another set. The range of the function is [-3,∞).

The domain of a function is the set of x values for which it is defined, whereas the range is the set of y values for which it is defined.

Given that the domain of the function is x∈R, therefore, if we plot the function on the graph, then the function will look as shown below.

Now, to know the range of the function we need to look at all the values that y can take. Therefore, the value that y can take is -3 to +∞.

Hence, the range of the function is [-3,∞).

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Working together, they can complete the task in 4 hours and 48 minutes.

A certain amount of time (T) is taken to complete a certain work (W). The number of units of work done per unit time is called the rate of work (R). Hence, Work (W) = Rate (R) Time (T) Whenever some work is done, the total work itself can be taken as one unit.

Tracy needs 8 hours to complete the task.

Then we can find the ratio of work over time as:

1 task/8 hours = 1/8 task per hour.

This means that she can complete 1/8 of the task per hour.

Dave needs 12 hours to complete the task, then his ratio is:

1 task/12 hours = 1/12 task per hour.

This means that he can complete 1/12 of the task in one hour.

If they work together, then the ratios can be added:

R = \(\frac{1}{8}\) +  \(\frac{1}{12}\)

  = \(\frac{3+2}{24}\)

  = \(\frac{5}{24}\)

So, working together, in one hour they can complete  \(\frac{5}{24}\) of the task, now we can find the number of hours needed to complete the task as:

\(\frac{5}{24}\)×\(x\)= 1 task

x = \(\frac{24}{5}\) hours = 4.8 hours

knowing that an hour is 60 minutes, then 0.8 of an hour is 60*0.8 = 48 minutes.

Then x = 4 hours and 48 minutes.

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The residual for the data point (5, 17.5) is -2.5, and the predicted value for x = 5 is too large so that the correct answer is option (D).

To calculate the residual and determine whether the predicted value is too small or too large, follow these steps:

1. Identify the given data point and regression equation: The data point is (5, 17.5), and the regression equation is y = 3.5 + 2.3x.
2. Plug the x-value of the data point into the regression equation to find the predicted y-value: For x = 5, y = 3.5 + 2.3(5) = 3.5 + 11.5 = 15.
3. Compare the predicted y-value to the actual y-value of the data point: The predicted y-value is 15, while the actual y-value is 17.5.
4. Calculate the residual by subtracting the predicted y-value from the actual y-value: Residual = 17.5 - 15 = 2.5.
5. Determine whether the predicted value is too small or too large: Since the residual is positive, the predicted value is too small. However, we made a mistake in our calculation. The correct residual should be -2.5, indicating that the predicted value is too large.

So, the correct answer is OD. -2.5, too large.

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Answer:

k = 3/2

Step-by-step explanation:

3/2 is equal to 1.5

Flip the triangle on the left to match the triangle on the right if you multiply the right triangle values by 1.5 (3/2) you get the same values as the one on the left.

Answer:

8x^2

Step-by-step explanation:

Answer:2850

Step-by-step explanation: 950*3

1. The length of the safety rail = Arc length is: 15.7 yd

2. The area of the deck = area of sector is: 78.5 yd²

Area of sector = ∅/360 × πr²

Arc length = ∅/360 × 2πr

1. Length of the safety rail = Arc length = ∅/360 × 2πr

= 90/360 × 2π(10)

= 15.7 yd

2. Area of the deck = area of sector = ∅/360 × πr²

= 90/360 × π(10²)

= 78.5 yd²

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Vector subtraction is done by arranging head to tail.

Vector subtraction is the process of finding the vector that results from taking away one vector from another. To perform vector subtraction, we arrange the vectors head to tail, with the tail of one vector touching the head of the other vector. We then draw a new vector from the tail of the first vector to the head of the second vector. The resulting vector is the difference between the two vectors. This can be mathematically represented as:

a - b = a + (-b)

where "a" and "b" are vectors, and (-b) is the additive inverse of b, which is the vector with the same magnitude as b but opposite in direction.

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The graph of the compound inequalities is attached with the answer below.

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

Given that the compound inequality is represented as x > 2 y ≤ 4.

The compound inequality in a single inequality form can be written as:-

x > 2

y ≤ 4

When we plot the graph of the two inequalities we get the two zones one is below the line passing through the origin and the other is below point 2 on the coordinate plane.

The graph of the inequality is attached with the answer below.

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The cosine function of the form f(t) is f(t) = 12cos((π/360)(t - 270))

Let's denote the low tide as t = 0. Hence, the first low tide of a day will always be at t = 0. There is no vertical shift in the tide levels, so we can assume that the mean tide level is 0 inches.

Therefore, the high tide is 24 inches above the low tide.

The time period for the function is the time difference between two successive low tides which is equal to 12 hours or 720 minutes.

A cosine function can be written as f(t) = Acos(B(t-C)) + D where A is the amplitude, B is the period, C is the phase shift, and D is the vertical shift.

We can write a cosine function for the ocean tide as follows:f(t) = 24/2 cos((2π/720)(t - 270))

Here, the amplitude A is 24/2 = 12 since the high tide is 12 inches above the low tide.

The period B is 720 minutes since it takes 12 hours or 720 minutes for the tides to repeat themselves.The phase shift C is 270 since the high tide occurred halfway between the two low tides.

The vertical shift D is 0 because the mean tide level is 0 inches.

Hence, the required cosine function is f(t) = 12cos((π/360)(t - 270))

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To find arbitrarily large powers of s without doing matrix multiplication, we can use the binary representation of the power and exponentiation by squaring.

Exponentiation by squaring is a method for computing large powers of a number efficiently. To compute s^n, we first convert n to its binary representation. For example, if we want to compute s^13, we first convert 13 to its binary representation of 1101, which is equivalent to 8 + 4 + 1.

We then compute s^8, s^4, and s^1, and multiply them all together. To compute s^8, we use the fact that s^8 = (s^4)^2. To compute s^4, we use the fact that s^4 = (s^2)^2. To compute s^2, we use the fact that s^2 = s*s.

We continue in this way until we have computed the powers of all the individual binary digits, and then multiply them all together to get s^13. This method is much more efficient than computing the powers directly by multiplying s by itself 13 times.

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The table shows neither an arithmetic sequence nor a geometric sequence because it doesn't have a common difference and common ratio.

In Mathematics and Geometry, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ =  a₁ + (n - 1)d

Where:

Next, we would determine the common difference as follows.

Common difference, d = a₂ - a₁

Common difference, d = 308,936,000 - 282,125,000 = 363,584,000 - 335,805,000

Common difference, d = 26,811,000 ≠ 27,779,000

Next, we would determine the common ratio as follows;

Common ratio, r = a₂/a₁

Common ratio, r = 308,936,000/282,125,000 ≠ 335,805,000/363,584,000

Common ratio, r = 1.095 ≠ 0.924

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Answer:

20

Step-by-step explanation:

If 50% of machines are washing machines and there are 10, then add 10 again to get 100% of the total machines

On soloing the provided question, we can say that an equation from the graphs for the function. 3x + 13.5y = 4.5 and x+1.5y = 2

Mathematicians use graphs to logically represent or chart facts or values. Typically, a graph point will show the relationship between two or more objects. A graph is a non-linear data structure made up of nodes, or vertices, and edges. The nodes, also known as vertices, should be joined with glue. This graph's vertices are 1, 2, 3, and 5, while its edges are 1, 2, 1, 3, 2, 4, and 2.5. (3.5). (4.5). Graphical depictions of exponential growth in statistical charts (bar charts, pie charts, line charts, etc.). triangle-shaped logarithmic graph.

an equation for the function.

3x + 13.5y = 4.5

and x+1.5y = 2

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Answer:

B. \(18x^2y^2\sqrt[3]{3xy^2}\)

Step-by-step explanation:

Answer:

B. Will the particles of ice absorb heat from the water and begin to move faster?

Step-by-step explanation:

Answer:

Same to me he sent a link to like almost every question it didn't work for me

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

B. y = 7x

7x is the steady rate of 7 gallons per minute. The number of minutes can also be plugged into x to find the volume of the pool after x minutes.

B. y=7x

y represents the amount of water in the pool after x minutes, that means it's going to be the result.

x represents minutes.

you are multiplying it because it's per minutes

Answer:

Point B

Step-by-step explanation:

It’s in between -0.9 and -0.91, therefore making it -0.905

a.)  Probability of drawing two queens in a row (a queen and a queen) without replacement  = 0.00452

b.) Probability of drawing two queens in a row (a queen and a queen) with replacement = 0.00592

c.) Chances of drawing two queens in a row better with replacement

Define Probability

Simply put, probability is the likelihood that something will occur.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.Statistics is the study of events that follow a probability distribution.

Given,

Total possible outcome = 52

There are 4 queens in a deck of 52 cards

a.)

Find, Probability of drawing two queens in a row (a queen and a queen) without replacement.

let, P stands for probability.

P (of drawing 1st queen) = 4 / 52

P(of drawing 2nd queen) = 3 / 51

P(drawing 2 queens in a row without replacement) =  4 / 52  *  3 / 51

                                                                                     = 0.000452

Hence, Probability of drawing two queens in a row (a queen and a queen) without replacement  = 0.00452

b.)

Find, Probability of drawing two queens in a row (a queen and a queen) with replacement

P (of drawing 1st queen) = 4 / 52

P(of drawing 2nd queen) = 4 / 52

P(drawing 2 queens in a row with replacement) = 4 / 52 * 4 / 52

                                                                               = 0.00592

Probability of drawing two queens in a row (a queen and a queen) with replacement = 0.00592

c.) Hence, the probability of with replacement is more so that's why

chances of drawing two queens in a row better with replacement

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The mean is the average value of the given data set. When the outlier is removed the mean and the median of the data set are changed.

The data set can be arranged as 12, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27, 28, 29, 30, 32, 35, 48. Now, The means, median and mode for the data set is,

Mean = (29+19+35+27+21+48+23+12+24+26+20+28+30+22+19+32+22) / 17

Mean = 25.7

Median(The middle value when the data is arranged in increasing order) = 24

Mode = 19,22

The outlier in the data set is 48, therefore, the mean median and mode now will be,

12, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27, 28, 29, 30, 32, 35

Mean = 24.3125

Median = 23.5

Mode = 19, 22

Hence, when the outlier is removed the mean and the median of the data set are changed.

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Answer:

38

Step-by-step explanation:

Angle ∠A = 38.213° = 38°12'48" = 0.66695 rad

Answer:

292 and 2092

Step-by-step explanation:

Surface area:

Wall 1: 40 x 3 = 120m^2

Wall2: 40 x 3 = 120m^2

Wall 3: 15 x 3 = 45m^2

Wall 4: 15 x 3 = 45m^2

Ceiling: 15 x 40 = 600m^2

Total : 240 + 600 + 90 = 730

So, cost of painting = 730/25 x 10 = 29.2 x 10 = 292

Total: 292 + 1800 = 2092

The total cost of paint would be 2092 dollars.

The area of the cuboid is the sum of product of the length, breadth of the given prism.

Surface area:

Wall 1: 40 x 3 = 120m^2

Wall2: 40 x 3 = 120m^2

Wall 3: 15 x 3 = 45m^2

Wall 4: 15 x 3 = 45m^2

Ceiling: 15 x 40 = 600m^2

The Total area: 240 + 600 + 90 = 730

So, The cost of painting = 730/25 x 10

= 29.2 x 10

= 292

Total: 292 + 1800 = 2092

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423

To solve the above equation follow the BODMAS rule

That is,

Brackets of Division Multiplication Addition Subtraction

BODMAS rule states that mathematical expressions with multiple operations need to be solved from left to right in the order of BODMAS.

so,

first, calculate the value in the brackets

(144-4)*(12/4)+3 = (140)*(12/4)+3

=140*(3)+3

According to the rule, a division operation is to be performed but there is no division operation in the equation we skip this step and proceed to the next operation

so, multiply 140*3

=420+3

the next operation is the addition

=423

the next operation according to the rule is subtraction which is not required to be performed in the equation.

therefore,

(144-4)*(12/4)+3 = 423

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Basically, we have two similar figures so the ratio of their corresponding sides is going to be proportional as well.

It goes here,

Cross multiply it

Drag out x on the other side of the equation

And yeah, that's what we were looking for.

Given the survey, the completed table is as follows:

                   Print             Electronic             Total

Youth             23               40                          63

Adults               23             36                           59

Total                46               76                           122

To fill in the missing values, we can use the fact that the total number of youths is 63 and the total number of adults is 59. Thus, we can subtract the number of known values from the total to find the missing values.

For the number of youths who prefer printed books, we have:

Print + Electronic = Total

Print + ? = 63

23 + ? = 63

? = 63 - 23

? = 40

For the number of adults who prefer electronic books, we have:

Print + Electronic = Total

? + Electronic = 59

23 + Electronic = 59

Electronic = 59 - 23

Electronic = 36

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Answer:

I think it is B correct me if I am wrong

Step-by-step explanation: