A library checks for four fiction books and two-nonfiction books an hour. How many times more fiction books do they check out than non-fiction books?

There are 547 students in this school.

Let's solve this problem step by step.

1. We know that the number of students is between 500 and 600 and leaves a remainder of 7 when divided by 12, 20, or 36.

2. To find the number of students, we need to find a number that satisfies all these conditions.

3. Let's start by finding the least common multiple (LCM) of 12, 20, and 36, which is 180.

4. Now, we can represent the number of students as 180n + 7, where n is a positive integer.

5. To find a value of n that falls within the range of 500 to 600, we can try different values for n until we get a suitable number.

Let's calculate:

For n = 3: 180 * 3 + 7 = 547 (Within the range)

For n = 4: 180 * 4 + 7 = 727 (Exceeds the range)

So, there are 547 students in this school.

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In this particular data set, 10 is the only value that occurs more than once, so it is the only mode

The mode is the value that occurs most frequently in a data set. In the given data set {10, 30, 10, 36, 26, 22}, we can see that the value 10 occurs twice, and all other values occur only once. Therefore, the mode of the data set is 10, since it occurs more frequently than any other value in the set.

Note that a data set can have multiple modes if two or more values occur with the same highest frequency. However, in this particular data set, 10 is the only value that occurs more than once, so it is the only mode.

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Answer: A. approximately 37.33° above the ground

Step-by-step explanation:

edge2020

The correct solution to the problem is that the direction of the resultant force will be approximately 37.33° from the horizontal above the ground.

For 30° Vector of 40 pounds :-

If we divide it in components it will become

40 cos 30° Î + 40 sin 30° Ĵ

40 × ( √3 / 2 ) Î + 40 × ( 1 / 2 ) Ĵ

34.64 Î + 20 Ĵ    ( approximately )

For 45° Vector of 35 pounds :-

If we divide it in components it will become

35 cos 45° Î + 35 sin 45° Ĵ

35 × ( 1 / √2 ) Î + 35 × ( 1 / √2 ) Ĵ

24.75 Î + 24.75 Ĵ    ( approximately )

Now adding both vectors

( 24.75 + 34.64 ) Î + ( 24.75 + 20 ) Ĵ    ( approximately )

59.39 Î + 44.74 Ĵ    ( approximately )

Now Using formula of Tan θ to find the value of θ

( Tan θ = Perpendicular / Base )

Tan θ =  44.74 / 59.39

Tan θ =  0.75    ( approximately )

θ =  Tan⁻¹ (0.75)    ( approximately )

θ =  36.87°    ( approximately )

We are calculated the value of θ as 36.87° which is approximate value as we used a lot of approximations while calculating and, the closest option given is 37.33° which is again an approximate value.
So we can say that the correct answer to this problem is The direction of the resultant force will be approximately 37.33° from the horizontal above the ground.

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In general, there are five kinds of task analyses:

Task analysis is the process of learning about ordinary users by observing them in action to understand in detail how they perform their tasks and achieve their intended goals. Tasks analysis helps identify the tasks that your website and applications must support and can also help you refine or re-define your site’s navigation or search by determining the appropriate content scope.

In their book User and Task Analysis for Interface Design, JoAnn Hackos and Janice Redish note that performing a task analysis helps you understand:

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The bearing of an object is the angle of its position to a reference point. It can be determined by considering the clockwise sum of angles starting from the North pole. Thus, the bearing of the buoy to the boat is    \(177^{o}\).

The speed of an object is defined as the rate of distance covered with respect to the time taken.

speed = \(\frac{distance covered}{time taken}\)

Thus, the first distance covered is given by:

Distance covered = speed x time taken

                              = 12 km/h x 2 h

                              = 24 km

The second distance covered is given as:

Distance covered = speed x time taken

                              = 16 km/h x 1 h

                              = 16 km

Applying the Cosine rule to determine distance from the boat to buoy, we have:

\(c^{2}\) = \(a^{2}\) + \(b^{2}\) - 2abCos C

But, C = \(50^{o}\) + \(60^{o}\)

          =      \(110^{o}\)

\(c^{2}\)  = \((16)^{2}\) + \((24)^{2}\) - 2(16)(24) Cos \(110^{o}\)

   = 256 + 576 - 768(-0.3420)

  = 832 + 262.656

\(c^{2}\) = 1094.656

c = \(\sqrt{1094.656}\)

c  = 33.0856

c = 33.0 km

Apply the Sine rule to determine the angle at the stopping point of the boat;

\(\frac{b}{Sin B}\) = \(\frac{c}{Sin C}\)

\(\frac{24}{Sin B}\) = \(\frac{33}{Sin 110}\)

Sin B = \(\frac{24*Sin 110}{33}\)

         = 0.6834

B = 43.11

B = \(43^{o}\)

The angle made at the stopping point to the buoy is  \(43^{o}\).

So that,

The bearing of the buoy from the boat = \(180^{o}\)- \(3^{o}\)

                                                                 =  \(177^{o}\)

Therefore, the required bearing of the buoy to the boat is   \(177^{o}\).

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The bearing of an object is the angle of its position to a reference point. Thus, the bearing of the buoy to the boat is 117°.



The speed of an object is defined as the rate of distance covered to the time taken.

speed = Distance / time

Thus, the first distance covered is given by:

Distance covered = speed x time taken

                              = 12 km/h x 2 h

                              = 24 km

The second distance covered is given as:

Distance covered = speed x time taken

                             = 16 km/h x 1 h

                             = 16 km

Applying the Cosine rule to determine the distance from the boat to buoy, we have:

c² = a² + b² - 2abCos C

   = ( 16 )²  + ( 24 )² -2(16)(24)Cos110

   = 256 + 576 - 768(-0.3420)

   = 832 + 262.656

   = 1094.656

c² = 1094.656

c= √1094.656

c = 33.10 Km

Apply the Sine rule to determine the angle at the stopping point of the boat;

\(\dfrac{b}{SinB}=\dfrac{c}{SinC}\)

\(\dfrac{24}{SinB}=\dfrac{33}{Sin110}\)

Sin B = \(\dfrac{24\times Sin110}{33}\)

B = 43.11°

The angle made at the stopping point to the buoy is 43.11°  .

So that,The bearing of the buoy from the boat = 180 - 3 = 117°

Therefore the bearing of an object is the angle of its position to a reference point. Thus, the bearing of the buoy to the boat is 117°.



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Answer:

26.6

Step-by-step explanation:

(12*5)-(8.35*4)

60-33.4

26.6

Answer:

"Substitute..." in the lower left corner

Step-by-step explanation:

The surface area of the triangular prism is 52.8 m².

The surface area of the triangular prism is calculated by applying the

What is the surface area of the triangular prism?

The surface area of the triangular prism is calculated by applying the following formula as shown below.

S.A = bh + L (s₁ + s₂ + s₃ )

where;

The surface area of the triangular prism is calculated as;

S.A = 3 x 2.6   +  5 (3 + 3 + 3 )

S.A = 7.8 m²  +  45 m²

S.A = 52.8 m²

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Answer:

12 deg

Step-by-step explanation:

The change in temperature is the new temperature minus the old temperature.

0 deg - (-12 deg) = 0 deg + 12 deg = 12 deg

The change in 12 deg.

Answer: The table that could be the data the student collected is table D.

Step-by-step explanation: What is an electromagnet?

An electromagnet is described as a type of magnet in which the magnetic field is produced by an electric current and usually consist of wire wound into a coil.

If student builds an electromagnet using a variable power source and 40 turns of wire. We have it that the student changes the voltage and counts the number of paper clips that are picked up. The table described below could perfectly described the scenario.

This is Table D

Voltage (V)

3

6

9

12

Number of paper clips

9

18

27

36

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Answer:

375+215 is greater than or equal to p

Step-by-step explanation:

quick maths

Answer:

0.3571

Step-by-step explanation:

Step 1: Start by setting it up with the divisor 14 on the left side and the dividend 5 on the right side like this:

14\(\sqrt{x}\)5

Step 2: The divisor (14) goes into the first digit of the dividend (5), 0 times(s).

Therefore, put 0 on top:

14\(\sqrt{x}\)0 5

Step 3: Multiply the divisor by the result in the previous step (14 x 0 =0) and write that answer below the dividend.

14 0

  \(\sqrt{x}\)5

   0

Step 4: Subtract the result in the previous step from the first digit of the dividend (5-0 = 5) and write the answer below.

14 0

\(\sqrt{x}\) 5

-0/5

Answer:

Convert 93% to decimal and round. "Of" means to multiply.

93% = 0.93 ≈ 0.9

0.9 × 150(estimate) ≈ 135

Thus, the estimate is 135

Hope this helps!

Answer:

15%

Step-by-step explanation:

..

The lower bound for Elsa's speed is 1.23 m/s and the upper bound is

1.00 m/s.

Speed is the ratio of the given distance and time.

It shows how fast an object is moving at a given time.

The formula is Distance / Time.

We can find the distance or time when the required values is given using this formula.

We have,

To find the lower and upper bounds of Elsa's speed.

We consider the possible ranges of distances and times.

Now,

Distance = 400m measured to the nearest 50m.

This means,

The actual distance =  375 m to 425 m.

This is used as the lower and upper bounds for distance.

Now,

Time = 6 minutes measured to the nearest half minute.

This means,

The actual time = 5.75 minutes to 6.25 minutes.

These are the lower and upper bounds for time.

Now,

The lower and upper bounds for Elsa's speed:

Lower bound.

= 425m in 5.75 minutes

Speed = distance/time

= 425m / 5.75min

= 73.91 m / min

= 1.23 m/s

And,

Upper bound.

= 375m in 6.25 minutes

Speed = distance/time

= 375m / 6.25min

= 60.00m/min

= 1.00m/s

Therefore,

The lower bound for Elsa's speed is 1.23 m/s and the upper bound is

1.00 m/s.

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The success rates of the three treatments in preventing cardiac events are approximately 90.91% for the stress management program, 79.41% for the exercise program, and 70% for usual heart care.

a. Two-way table:
| Treatment | Cardiac Events | No Cardiac Events |
|-----------|-----------------|----------------------|
| Stress Management | 3 | 30 |
| Exercise | 7 | 27 |
| Usual Care | 12 | 28 |
b. The success rates of the three treatments in preventing cardiac events can be calculated as the percentage of people in each group who did not experience a cardiac event.
- Stress management: 90.9% success rate (30/33)
- Exercise: 79.4% success rate (27/34)
- Usual care: 70% success rate (28/40)
Therefore, the stress management program had the highest success rate in preventing cardiac events, followed by the exercise program and then usual care.

Stress management and its impact on reducing heart attacks. Let's analyze the study results and create a two-way table, as well as calculate the success rates of the three treatments in preventing cardiac events.
a. Two-way table:
| Treatment          | Cardiac Events | No Cardiac Events | Total |
|--------------------|----------------|-------------------|-------|
| Stress Management  | 3              | 30                | 33    |
| Exercise Program   | 7              | 27                | 34    |
| Usual Heart Care   | 12             | 28                | 40    |
| Total              | 22             | 85                | 107   |
b. Success rates of the three treatments in preventing cardiac events:
1. Stress Management:
Success rate = (No Cardiac Events / Total) * 100
Success rate = (30 / 33) * 100
Success rate ≈ 90.91%
2. Exercise Program:
Success rate = (No Cardiac Events / Total) * 100
Success rate = (27 / 34) * 100
Success rate ≈ 79.41%
3. Usual Heart Care:
Success rate = (No Cardiac Events / Total) * 100
Success rate = (28 / 40) * 100
Success rate = 70%

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Answer:

4x - 7

Step-by-step explanation:

To evaluate f(g(x)) substitute x = g(x) into f(x)

f(g(x)

= f(4x - 2)

= 4x - 2 - 5

= 4x - 7

In a scatter plot, if all data points were aligned along a 44º angle, the correlation would be 0. The correct answer is D.

In a scatter plot, the correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative linear relationship, 1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship.

When all data points are aligned along a 44º angle, it means that the points are distributed randomly and do not follow a clear linear pattern. There is no consistent increase or decrease in one variable as the other variable changes. Therefore, the correlation between the variables is 0, indicating no linear relationship or strength of association.

In other words, the angle of 44º suggests that the variables are unrelated and have no linear dependency on each other.

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Answer:

The given data suggests that there is a positive correlation - as grade level increases, so does the expected hours of homework.

Step-by-step explanation:

It is difficult to accurately predict the expected hours of homework for 5th and 8th graders based on the given data. However, we can try to make an estimate by assuming a linear correlation between grade level and hours of homework.

Using the given data, we can plot a scatter plot with grade level on the x-axis and hours of homework on the y-axis. We can then draw a line of best fit through the data points to estimate the correlation.

Assuming a linear correlation, we can use the slope-intercept form of a line to calculate the expected hours of homework for 5th and 8th graders. The equation of the line of best fit is:

y = 2.5x - 6.5

where y is the expected hours of homework per week and x is the grade level. Using this equation, we can estimate that the expected hours of homework per week for 5th graders would be:

y = 2.5(5) - 6.5 = 6 hours

And the expected hours of homework per week for 8th graders would be:

y = 2.5(8) - 6.5 = 16 hours

It is important to note that this is just an estimate based on the given data, and actual hours of homework may vary depending on the school and curriculum.

As for the correlation between grade level and hours of homework per week, the given data suggests that there is a positive correlation - as grade level increases, so does the expected hours of homework. This is likely due to the increasing complexity and workload of the curriculum as students progress through school. However, it is important for schools to ensure that the amount of homework assigned is reasonable and does not cause undue stress or negatively impact students' well-being.

Answer:

200 ants

Step-by-step explanation:

Im not really sure on this but i tried lbao

Multiply the regular price ($1,049) by the Percent Discount (20%). To do this, multiply 1,049 by 0.2 :

1,049(0.2)=$209.8

After multiplying, you get the amount taken off by the discount. So you subtract the amount you got ($209.8) from the original amount ($1049) :

$1049-$209.8=$839.2

Now that you've calculated the discount price, you can calculate the sales tax. Make sure you do this part second, because it says to do so in the problem.

To calculate the sales tax, you do the same as above. Multiply your NEW cost ($839.2) by the sales tax (5.25%). The equation is:

$839.2(5.25%)=$44.058

Round $44.058 to $44.06. Since this is a Sales Tax, you add this on to your previous amount of $839.2

$839.2+$44.06=$883.26

The final cost of the computer is $883.26

Answer:

Total after discount $88.20

Step-by-step explanation:

I multiplied 126 by 30 and then divided the answer by 100 to get a $37.80 discount.

Answer:

on the 18th day

Step-by-step explanation:

LCM for 6 and 9 is 18 :)

Answer:

36/11

Step-by-step explanation:

3/11 (12)

36/11

Answer:

A/c to question

(10-k)/4=2

or, (10-k)=8

or,10-8=k

or, k=2

Thus the value of k is 2.

Thus the value of k is 2.

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Simplification is to make something easier to do or understand and to make something less complicated.

Given

The difference of 10 and k divided by 4 yields 2.

The value of k

The difference of 10 and k divided by 4 yields 2 can be written mathematically.

\(\rm \dfrac{10-k}{4} = 2\)

Then simplify the equation,

\(\begin{aligned} \rm \dfrac{10-k}{4} &= 2\\\rm 10 - k &= 8\\10 - 8 &= \rm k \\\rm k &= 2 \end{aligned}\)

Thus the value of k is 2.

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Answer:

$3 Each

Step-by-step explanation:

27 Spent Toatal.

Soft Drink for 3.

27-3 = 24

He bought eight candy bars, so divide 24 by 8.

24/8 = 3

So each was 3 dollars.

Answer: B

Step-by-step explanation:

To get no solution you need to have 2 sides of the equations that don't match. If you go through B you will end up getting 3x- (11/7)=3x-2 which is not true.

Answer:

Yes

Step-by-step explanation: