A boat is heading towards a lighthouse, whose beacon-light is 121 feet above the
water. From point A, the boat's crew measures the angle of elevation to the beacon,
13°, before they draw closer. They measure the angle of elevation a second time from
point B at some later time to be 19°. Find the distance from point A to point B.
Round your answer to the nearest foot if necessary.

The correct order from best to worst of the sample groups is b→ a→ c.

The study conducted by the City Council of USA incorporates the reviewing for the funding for local sports-related activities.

There are 3 sample groups selected from the population of Anytown residents with an active interest in sports. They are:

a. High-school students at three different schools.

b. People randomly approached at a softball tournament, a swim meet, an athletic supply store, and a sports bar.

c. People randomly approached at a department store and at a shopping mall

All these groups are selected randomly.

But for (b), the people are obviously interested in sports activities, as they are selected from softball tournament, a swim meet, an athletic supply store, and a sports bar.

Next would be (a), because the students being younger is probably more interested in sports than elder ones.

The last would be the (c), people selected from the department store since they would be less aware of local- sports related activities.

So the order of samples from best to worst is b→ a→ c.

The question is incomplete. Find the complete question below:

The city council of Anytown, U.S.A., is reviewing the funding for local sports-related activities. To be better informed, it commissions a study. Order the sample groups, best to worst, based on how well they would represent the population of Anytown residents with an active interest in sports.

a. high-school students at three different schools

b. people randomly approached at a softball tournament, a swim meet, an athletic supply store, and a sports bar

c. people randomly approached at a department store and at a shopping mall

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There are 462 ways to choose 5 books from a shelf of 12, if you cannot choose two adjacent books.

To solve this problem, we can use a technique called "complementary counting." First, let's find the total number of ways to choose 5 books from a shelf of 12. This is simply 12 choose 5, which is:
12! / (5! × 7!) = 792
Now, let's count the number of ways to choose 5 books from a shelf of 12 where two adjacent books are chosen. We can do this by treating the adjacent books as a single unit, and then choosing 4 more books from the remaining 11. This gives us:
11 choose 4 = 330
So, there are 330 ways to choose 5 books from a shelf of 12 where two adjacent books are chosen.
Finally, we can subtract this number from the total number of ways to choose 5 books to get the number of ways to choose 5 books where no two adjacent books are chosen:
792 - 330 = 462
Therefore, there are 462 ways to choose 5 books from a shelf of 12, if you cannot choose two adjacent books.

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Answer:

same time , 12 minutes

Step-by-step explanation:

'A' can eat 1÷6 pizza in 2 minutes

Therefore, 'A' can eat full pizza in 6×2 minutes=12 minutes

'B' can eat 1÷4 pizza in 3 minutes

therefore, 'B' can eat full pizza in 3×4 minutes=12 minutes

So, Both 'A' and 'B' will finish at same time.

Answer:

A number s plus 21

Step-by-step explanation:

s+21

A number s plus 21

Linear regression adapts to sudden shifts to data patterns. [False]

Linear regression is a type of predictive analysis technique used to form a linear relationship between a dependent and an independent variable. However, linear regression does not adapt well to sudden changes in data patterns or outliers that could impact the model's accuracy. Therefore, it is not suitable for modeling data with sudden shifts. In such cases, non-linear regression methods or more complex models may be more appropriate.

Linear regression is a basic yet powerful technique for modeling relationships between variables. It is used for a wide range of applications, from predicting sales to estimating the impact of a variable on the outcome of interest. However, the accuracy of linear regression models can be impacted by outliers or sudden changes in data patterns. Therefore, it is important to carefully evaluate the data and select appropriate modeling techniques based on the specific characteristics of the dataset. Non-linear regression techniques or more advanced models may be better suited for modeling data with sudden shifts or extreme values.

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Answer:

It'll be 4

Step-by-step explanation:

2x+1 = -3x+16 , you'll do the basic math which is put your X on one side and numbers on the opposite to get X.You're finding the base so you plug in the answer (you had gotten from 2x+1 and -3x+16), to 3x-5 and you get your answer 4

To improve the model's performance in predicting thyroid cancer occurrence, two potential steps to consider are: generating synthetic samples using SMOTE and collecting more data for the positive cases. option b and d

The given problem scenario involves imbalanced classes, with a significantly higher number of negative instances compared to positive instances. This class imbalance can lead to biased model performance, such as poor recall for the minority class (positive instances in this case). Here are the two selected steps and their rationale:

B) Generating synthetic samples using SMOTE: SMOTE is a technique used to address class imbalance by creating synthetic samples of the minority class. It generates new instances by interpolating between neighboring instances of the minority class. By using SMOTE, the positive class can be over-sampled, increasing the representation of thyroid cancer cases in the training data. This can help the model learn better decision boundaries for positive instances and improve recall.

D) Collecting more data for the positive cases: Increasing the number of positive instances in the training data can provide the model with more information to learn from. Collecting additional data specifically for positive cases, such as acquiring more samples of individuals diagnosed with thyroid cancer, can help in better capturing the characteristics and patterns associated with cancer occurrence. This can lead to a more balanced representation of the classes and potentially improve recall.

While options A (under-sampling instances from the positive class) and E (using Bagging) are also strategies to address class imbalance, they may not be as effective in this specific scenario. Under-sampling positive instances may further reduce the information available for learning, and Bagging, although useful for ensemble learning, may not directly address the class imbalance issue or improve recall.

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While the measurement of the individual angles in a triangle can vary depending on the size and shape of the triangle, their sum is always 180 degrees.

This fundamental concept is known as the Triangle Sum Theorem and is true for all types of triangles, including equilateral, isosceles, and scalene. This theorem is essential in geometry and plays a significant role in solving various mathematical problems related to triangles. By knowing the sum of the angles, it is possible to calculate the measurement of one missing angle if the other two are known. Additionally, it helps in proving congruence and similarity of triangles and finding various geometric properties of triangles.

While the measurement of the individual angles in a triangle can vary, their sum is always constant. This constant sum is 180 degrees. This principle is known as the Triangle Sum Property, which states that the three interior angles of any triangle will always add up to 180 degrees, regardless of the triangle's shape or size. To find the sum of the angles, you simply add the three angle measures together. For example, if a triangle has angles of 60, 70, and 50 degrees, the sum would be 60 + 70 + 50 = 180 degrees. This property holds true for all triangles, ensuring that their interior angles always have a constant sum.

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Answer:

36

Step-by-step explanation:

ƒ(x) = 5x^2 − 9x + 18,

Let x=3

ƒ(3) = 5*3^2 − 9*3 + 18,

      =5*9 - 27+18

        45 - 27+18

         36

The given statement is true.

Consider linearly independent vectors of \(R_{n}\)

Where n = 2

\(V = \[\begin{array}{ccc}4&\\2\end{array}\right]\)  

\(U = \[\begin{array}{ccc}5&\\6\end{array}\right]\)

Now product of these vectors

UV = 4x5 + 2x6

     = 32

Hence these vectors are not orthogonal.

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Answer:

The answer is Not Statistical.

Answer:

non-statistical

Step-by-step explanation:

because you are asking about one gorilla, if there were more, than that would be non statistical

The length of one edge of the tabletop is 4.89 feet.

We know that square is a shape that has all the side equal. Based on this using the formula to find the length of edge of the tabletop.

The area of square table is given by the formula -

Area of square table = side²

We will keep the value of area of square table to find the value of side which will be length of edge

24 = side²

Side = ✓24

Taking square root for the value on right side of the equation

Side = 4.89

Hence, the length of one edge of the tabletop is 4.89 feet.

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Answer:

2 hours

Step-by-step explanation:

Downers grove = 5 inches of snow + 6 inches every hour

= 5 + 6h

Woodridge = 13 inches + 2 inches every hour

= 13 + 2h

Where,

h = number of hours

In how many hours will the snowfall of the towns be equal?

Equate the snow falls of the towns

Downers grove = Woodridge

5 + 6h = 13 + 2h

Collect like terms

5 - 13 = 2h - 6h

8 = 4h

Divide both sides by 4

h = 8 / 4

= 2

h = 2 hours

The snowfall of the towns will be equal in 2 hours

Answer:

non function

Step-by-step explanation:

A function is a process or a relation that associates each element x of a set X, the domain of the function, to a single element y of another set Y (possibly the same set), the codomain of the function. so that is not a function

The speed of the train with time is given on a speed time graph

obtained from a past questions website drawn and attached here.

Correct response:

Given:

Length of the train = 220 m

Time at which the train crossed the bridge = 9:30

Length of the bridge = 1,400 m

The plot of the graph of the motion of the train obtained from a past papers website and created with MS Excel is attached;

From the attached graph, we have;

The speed of the train at 9:30 = 126 km/h

Required:

The time it took the train to completely cross the bridge.

Solution:

\(126 \, km/h = 126 \, km/hr \times \dfrac{1,000 \, m}{1 \, km} \times \dfrac{1 \ hr}{3,600 \, s} = \mathbf{ 35 \, m/s}\)

Therefore, the time it took the train to completely cross the bridge is given as follows;

Distance traveled = 1,400 m + 220 m = 1,620 m

The time it took the train to completely cross the bridge is t ≈ 46.29 s

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The integers closest to the number is "68 < 69 < 70". This is the complete statement.

To complete the statement "< 69 <", we need to fill in the missing number in the middle.

Since 69 is the given number, we need to find the integers that are closest to it. The two integers closest to 69 are 68 and 70.

This means that the number 69 is between 68 and 70, and it is the middle number in the given range.

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The answer of the given question is y = 7x – 48. This is the result of the equation of the line through (6,−6) (6,−6) left parenthesis, 6, comma, minus, 6, right parenthesis and (8,8) (8,8) left parenthesis, 8, comma, 8, right parenthesis. This result is generated by using point-slope formula.

What is slope formula?

Slope formula is required to calculate the inclination of a line. For calculating the slope of a line, x and y coordinates of the points on the line are required. Ratio of change in y coordinates and change in x coordinates is called the slope of a line.

Slope (m) = change in y / change in x = Δy / Δx

Thus, in this case, the calculation as follows:

m = Δy / Δx

= 8 – (–6) / 8 – 6

= 14 / 2

= 7

Now, use the point-slope formula:

y – y1 = m (x – x1)

y – 8 = 7 (x – 8)

y = 7x – 56 + 8

y = 7x – 48

Hence, the result is y = 7x – 48.

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Answer:

y = 13/4x-21

Step-by-step explanation:

Khan Academy

Answer:

f(5) = 22; f(9) = 34

Step-by-step explanation:

f(5) = 3(5) +7

f(5) = 22

f(9) = 3(9) +7

f(9) = 34

Answer:

\(x=18\)

Step-by-step explanation:

In any right triangle, the sine of an angle is equal to the angle's opposite side divided by the hypotenuse.

Therefore, we have the following equation:

\(\sin 30^{\circ}=\frac{9}{x},\\\frac{1}{2}=\frac{9}{x},\\x=9\cdot 2=\boxed{18}\)

*Note that \(\sin 30^{\circ}=\frac{1}{2}\)

Answer:

The difference in price between a small pizza and a medium pizza is $0.81

Step-by-step explanation:

Small pizza

Side = 5inch

Area =  25 sq.in

Cost = $4 +0.04*25

        = 4 + 1.25  = $5.25

Medium pizza

Side = 8inche

Area = 64 sq.in

Cost = 3.50 + 0.04*64 = $6.06

Difference = Medium pizza - small pizza

                  = 6.06 - 5.25

                   = $0.81

The amount of money Company A charge more for x miles,  35 - 0.05x dollars

In mathematics, subtraction is an operation which means taking away a few portions of the group or few things from a whole part.

For example, if we take 4 pencils out of 10 then remaining pencils are 6

so this process is called subtraction.

Let's call the number of miles the family wants to travel "x".

The cost for Company A is $30.50 plus 8 cents per mile, so the total cost for Company A is,

30.50 + 0.08x.

The cost for Company B is $65.50 plus 13 cents per mile, so the total cost for Company B is,

65.50 + 0.13x.

To find out how much more Company A charges, we can subtract the cost for Company B from the cost for Company A:

= (30.50 + 0.08x) - (65.50 + 0.13x)

= 35 - 0.05x

So, Company A charges 35 - 0.05x dollars more than Company B for x miles.

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Answer: b

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Player 1's best reply correspondence in the given two-person game is represented by the graph of the best value(s) of σ1(T) as a function of σ2(L). This graph shows the optimal responses of Player 1 to different probabilities of Player 2 playing strategy L.

To find Player 1's best responses to the mixed strategy (21, 21) of Player 2, we can examine the graph. The graph will provide us with the values of σ1(T) that maximize Player 1's payoff for each value of σ2(L). We locate the points on the graph where Player 1's payoff is maximized and read the corresponding values of σ1(T) and σ2(L). These values represent the best responses of Player 1 to Player 2's mixed strategy.

By analyzing the graph, we can identify the points where Player 1's payoff is highest for each value of σ2(L). These points correspond to the optimal mixed strategies that Player 1 should adopt to maximize their payoff against Player 2's strategy. By finding the best responses of Player 1, we can determine the set of optimal strategies for both players in the game. In summary, the graph of the best value(s) of σ1(T) as a function of σ2(L) allows us to identify Player 1's best responses to Player 2's mixed strategy. By locating the points of maximum payoff on the graph, we can determine the optimal strategies for both players in the game.

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Answer:

Might be wrong but 27. Hope this helps

Answer:

48 girls!

Step-by-step explanation:

boys = 6x

girls = 8x

6x = 36

x = 36/6 = 6

girls = 8x = 8 x 6 =  48

I hope im right!

The area of the region bounded by the graphs of the given equations is 0.

To find the area of the region bounded by the graphs of the given equations y = -2x - x^2 and y = -8, we need to determine the points of intersection between the two curves.

Setting the equations equal to each other:

-2x - x^2 = -8

Rearranging and simplifying the equation:

x^2 - 2x + 8 = 0

This quadratic equation does not have real solutions. Therefore, the two curves do not intersect, and there is no region bounded by them.

As a result, the area of the region bounded by the graphs of the given equations is 0.

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The probability that all three of the selected vials have hairline cracks = 0.096

Total number of vials in the shipment = 62

Number of vials with hairline cracks = 14

Number of vials without hairline cracks = 48

Three from 62 vials are selected.

So total outcomes = 62C3

Number of possible outcomes for all 3 of selected vials have hairline cracks = 14C3, which is the number of favorable outcomes

Probability that all three of the selected vials have hairline cracks = Number of favorable outcomes/Total outcomes = 14C3/62C3 = 0.096

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Answer:

Yep......a lot of notifications on my phone.....lol

thx for points!

Follow me! :)

Answer:

About 2.15

Step-by-step explanation:

You can do5.5/100 x 39 to get this.

5.5 divided by 100 is 550, times 39 is 2.145, round it to get 2.15

(So add 2 dollars 15 cents to $39 :D)