(Score for Question 3: of 12 points) 3. What is the surface area of this composite solid? Show your work.​

Answer:

(1/2)^2= 0.25 thank you

Here is the Python code for the given problem statement:

```
def is_fib(n):
   if n == 0:
       return False
   a, b = 1, 1
   while b < n:
       a, b = b, a + b
   return b == n
   
def sum_fib(n):
   a, b = 1, 1
   while a <= n:
       if is_fib(n - a):
           return True
       a, b = b, a + b
   return False
   
def fibonacci_sum(a):
   return [sum_fib(n) for n in a]```

The function is_fib checks if a given number n is a Fibonacci number or not. The function sum_fib checks if a given number n is the sum of two Fibonacci numbers or not.

The function fibonacci_sum returns a list of booleans corresponding to whether each number in the input list is the sum of two Fibonacci numbers or not.

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The margin of error for the survey, rounded to the nearest tenth, is approximately 4.0% when expressed as a percentage.

To determine the margin of error for a survey at the 95% confidence level, we need to calculate the standard error. The margin of error represents the range within which the true population proportion is likely to fall.

The formula for calculating the standard error is:

Standard Error = sqrt((p * (1 - p)) / n)

where p is the sample proportion and n is the sample size.

In this case, the sample proportion is 64% (or 0.64) since 64% of the 1350 surveyed residents support the plan.

Plugging in the values:

Standard Error = \(\sqrt{(0.64 * (1 - 0.64)) / 1350)}\)

\(= \sqrt{(0.2304 / 1350)} \\= \sqrt{(0.0001707)}\)

≈ 0.0131

Now, to find the margin of error, we multiply the standard error by the appropriate critical value for a 95% confidence level. The critical value corresponds to the z-score, which is approximately 1.96 for a 95% confidence level.

Margin of Error = z * Standard Error

= 1.96 * 0.0131

≈ 0.0257

Finally, to express the margin of error as a percentage, we divide it by the sample proportion and multiply by 100:

Margin of Error as Percentage = (Margin of Error / Sample Proportion) * 100

= (0.0257 / 0.64) * 100

≈ 4.0%

Therefore, the margin of error for this survey, expressed as a percentage to the nearest tenth, is approximately 4.0%.

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Answer:

1/10 th

Step-by-step explanation:

Refer the attached photo.

Answer:

hello 10%

good luck

Answer:

Step-by-step explanation:

0.25 x 2200 = $55

55+200=255

$255

pt 2: 0.25x+200

Step-by-step explanation:

In Horace Walpole's The Castle of Otranto, the female characters are predominately presented as passive and emotionally fragile, particularly in contrast to their male counterparts. ... These gendered fictional representations reflect, influence, and perpetuate patriarchal attitudes toward women.

The minimum value of C is: 46

The given parameters are:

\(C = 6x + 7y\)

Subject to

\(x \ge 0\)

\(y \ge 0\)

\(4x + 3y \ge 24\)

\(x + 3y \ge 15\)

To do this, we start by plotting the graphs of the constraints:

The constraints are:

\(4x + 3y \ge 24\)

\(x + 3y \ge 15\)

See attachment for graph

Next, we identify the corner points.

These are the points where \(x \ge 0\) and \(y \ge 0\)

From the graph, we have: (0, 8), (3, 4) and (15, 0) as the corner points

Substitute these values in the equation of C

\(C = 6x + 7y\)

\((x,y) = (0, 8)\) means:

\(C = 6 * 0 + 7 * 8 = 56\)

\((x,y) = (3,4)\) means

\(C = 6 * 3 + 7 * 4 = 46\)

\((x,y) = (15,0)\) means

\(C = 6 * 15 + 7 * 0 = 90\)

In the above computations, we can conclude that the minimum value of C is: 46

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Answer:

Contrapositive: if a polygon does not have more than 3 sides, then it is a triangle. Since it is a true statement, the contrapositive is a true statement, the original statement must be a true statement.

Step-by-step explanation:

Original statement: if a polygon has more than three sides, then it is not a triangle.

Let P = a polygon has more than three sides

Let Q = it is not a triangle

Conditional statement: If P, then Q

Contrapositive statement: if not P, then not Q.

If a conditional statement is true, then the contrapositive is true.

If a contrapositive statement is true, then the contrapositive is true

the factors of 28 are : 1, 2, 4, 7, 14, and 28.

the prime factors of 28 are : 2, 2, and 7.

Speed the top of the ladder is sliding down = 1.6ft/sec  when it is 12 feet away from the wall

15-foot ladder is leaning against a wall.

the top of the ladder is sliding down the wall at a rate of 2 ft/sec.

how fast is the bottom of the ladder moving when it is 12 feet away

Using equivalent proportion

15 ft -------------------2ft/sec

12 ft-------------------X ft/sec

Hence X = (12 x 2) ÷ 15 =1.6 ft/sec

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The missing lengths of BE and IJ using the concept of similar quadrilaterals are:

BE = 32

IJ = 18

Similar quadrilaterals are defined as quadrilaterals that have the same shape, but their sizes may vary. Thus, if two quadrilaterals are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

From the image, we are told that Quadrilateral GHIJ is similar to Quadrilateral BCDE.

Thus:

GJ/BE = IJ/DE = HI/CD

Thus:

12/BE = 6/16

BE = (16 * 12)/6

BE = 32

Similarly:

IJ/48 = 6/16

IJ = (48 * 6)/16

IJ = 18

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There are 1287 different ways Ms. Bell can create a 5-Member committee of seniors from her class.

Ms. Bell's mathematics class consists of 6 sophomores, 11 juniors, and 13 seniors. The task is to determine the number of different ways Ms. Bell can create a 5-member committee of seniors, with each senior having an equal chance of being selected.

To solve this problem, we can use combinations. The number of ways to select a committee of 5 seniors from a group of 13 can be calculated using the combination formula:

C(n, k) = n! / (k!(n - k)!)

Where n represents the total number of elements (seniors in this case), and k represents the number of elements to be selected (5 in this case). The exclamation mark denotes the factorial of a number.

Using the combination formula, the number of ways to select a 5-member committee from 13 seniors is:

C(13, 5) = 13! / (5!(13 - 5)!) = 13! / (5! * 8!) = (13 * 12 * 11 * 10 * 9) / (5 * 4 * 3 * 2 * 1) = 1287

Therefore, there are 1287 different ways Ms. Bell can create a 5-member committee of seniors from her class.

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The probability of selecting a player with an average under 300 is 0.99

From the question, we have the following parameters that can be used in our computation:

Mean = 250

Standard deviation = 20

Score = Under 300

The z-score is calculated as

z = (300 - 250)/20

So, we have

z = 2.5

The probability is then calculated as

P = P(z < 2.5)

When evaluated, we have

P = 0.99379

Approximate

P = 0.99

Hence, the probability is 0.99

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Question

The Atlanta Braves baseball team has a mean batting average of 250 with a standard deviation of 20. Assume the batting averages are approximately normally distributed

What is the probability of selecting a player with an average under 300?

Aymptotes exist when a function gets very close to a value but never reaches it, for vertical asymptotes we draw vertical lines, in this case, at x equals 2, for horizontal asymptotes draw a horizontal line, in this case at y equals 1.

Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

Answer:

\(8x^{3}+30x^{2}+17x+6\)

Step-by-step explanation:

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The given sequence is a geometric ~

let's find the common ratio (r) first ~

And the first term (a1) of the sequence is ~ -96

let's find the 5th and 6th term.

The value of 5th term is ~

The value of 6th term is ~

Answer:

monomial

Step-by-step explanation:

Complete question:

Points A, B, and C are midpoints of the sides of right triangle DEF. Triangle A B C is inside triangle D E F. Point A is the midpoint of side F D, point B is the midpoint of side D E, point C is the midpoint of side F E. Angles D F E and A B C are right angles. The length of D E is 10 centimeters, the length of F D is 6 centimeters, and the length of F E is 8 centimeters. Which statements are true? Select three options. (The formula for the area of a triangle is A = One-halfbh.)

Answer:  

2. A-C = 5 cm

3. B-A = 4 cm

4. The perimeter of triangle A-B-C = 12 cm.

Step-by-step explanation:

First, picture a triangle formed by points D-E-F.

Now,

These values suggest that

The perimeter of the interior triangle ABC = 3cm + 5cm + 4cm = 12 cm

The total area of the interior triangle ABC is 1/4 the area of triangle DEF. You can see in the picture that there are four equal triangles inside DEF.

Answer:

B C and D

Step-by-step explanation:

right on edge

Answer:

Associative Property of Addition

Step-by-step explanation:

The associative property of addition states that if all the operations are addition, then one can group and add them in whatever order they prefer.

Hope this helps!  Tell me if I'm wrong!

Answer:

its true

Step-by-step explanation:

The total distance which the bird travels if it flies at 100 km per hour and the speed of the train is 60 km per hour would be equal to 400 kilometers.

In Mathematics, distance can be defined as the amount of ground that is covered (travelled) by a physical object over a particular period of time and speed, irrespective of its direction, starting point or ending point.

Based on the information provided, we can reasonably infer and logically deduce that this train would travel a distance of 60 kilometers in 60 minutes, if it is moving at a speed of 60 kilometers per hour. Therefore, the train travels a distance of 240 kilometers from Delhi to Agra in 240 minutes.

Since the bird made the journeys continuously back and forth from Agra to the train and back to Agra for this same amount of time (240 minutes), the total distance it traveled shall be calculated as follows:

Total distance = 100 kilometers per hour × 240 minutes

Total distance = (100 × 240)/60

Total distance = 400 kilometers.

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Answer:

63) The additional information is GD ≅ CD

64) The additional information is ∠LQR ≅ ∠PQR

Step-by-step explanation:

Let us use the facts above to solve the questions

#63

In triangles BGD and BCD

∵ BG = BC

∵ BD is a common side

∵ The 3rd sides are GD and CD

∴ GD and CD must be equal

∴ GD = CD

∴ The additional information is GD ≅ CD

#64

In triangles LQR and PQR

∵ LQ = PQ

∵ QR is a common side

∵ The included angles are ∠LQR and ∠PQR

∴  m∠LQR and m∠PQR must be equal

∴ ∠LQR ≅ ∠PQR

∴ The additional information is ∠LQR ≅ ∠PQR

The additional information required in order to know that the triangles are congruent for the reasons given are;

63) DC ≅ DG

63) DC ≅ DG64) ∠LQR ≅ ∠PQR

63) The congruence theorem used here is SSS. This denotes Side - Side - Side. What this means is that the 3 corresponding sides of ΔBGD and ΔBCD are congruent.

Now, we are given;

BC ≅ BG

Also; BD ≅ BD (By reflexive property)

For the SSS congruence theorem to hold, it means that; DC ≅ DG

64) The congruence theorem used here is SAS. This denotes Side - Angle - Side. What this means is that 2 corresponding sides and the Included of ΔBGD and ΔBCD are congruent.

Now, we are given;

QP ≅ QL

Also; QR ≅ QR (By reflexive property)

The included angles here are ∠LQR and ∠PQR.

Thus, ∠LQR ≅ ∠PQR.

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Answer:

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.

Step-by-step explanation:

Therefore, you would estimate that the percentage of all voters who would vote for candidate S is 40% ± 3.22% with 90% confidence.

To estimate the percentage of all voters who would vote for candidate S with 90% confidence, you can use the formula for calculating the margin of error for a proportion:

\(Margin of Error = Z * √((p * (1-p)) / n)\)

In this formula:

Z represents the z-score corresponding to the desired confidence level. For a 90% confidence level, the z-score is approximately 1.645.

p is the observed proportion (40% in this case).

n is the sample size (800 in this case).

The margin of error represents the range within which the true proportion is likely to fall.

To calculate the margin of error:

\(= 1.645 * √((0.4 * (1-0.4)) / 800)\)

Simplifying the equation:

\(≈ 1.645 * √((0.24) / 800)\)

≈ 0.0322

So, the margin of error is approximately 0.0322, or 3.22%.

To estimate the percentage of all voters who would vote for candidate S with 90% confidence, you would use the observed proportion of 40% ± the margin of error:

Estimate: 40% ± 3.22%

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[] 10x + 4

(5x) + (2x + 5) + (3x - 1)

5x + 2x + 3x + 5 - 1

10x + 4

[] 4x + 4

Bottom: (1/2) * (3x -1) = 1/2x - 1/2

Left side: (1/2) * (5x) = 5/2x

Right side: (1/2) * (2x+5) = x + 5/2

\/

Add them together:

(x + 5/2) + (5/2x) + (1/2x - 1/2)

x + 5/2x + 1/2x + 5/2 - 1/2

4x + 4

[] The Triangle Midsegment Theorem (midsegment = 1/2 times triangle base) and then calculated by adding the three midsegments together.

     Hope this helps and is correct, have a nice day! :D

check attached file for a diagram I made

     Note: I realized after it was made I did the midsegment wrong so ignore that part! It should be a triangle with the three points in the middle of the sides.

Given that individuals with blond hair are much more inclined to have blue eyes than inhabitants in general, there's an apparent correlation connecting blond hair and dark-eyed people. the ideal response.

The probability equation is what?

The overall number of positive outcomes as well as the likelihood of each one occurrence rely on each other. The possibility is often expressed as the proportion between positive outcomes to all outcomes in the given dataset. The probability of an occurrence P(E) = (Number of positive outcomes) is how it is stated (Sample space).

There are four primary categories of probability: axiomatic, classic, empirical, and subjectivity. Probabilistic is the area of mathematics that deals with the likelihood that a randomized event will occur.

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The gradient of the surface can be described as a vector.

The gradient of a surface, which is a vector, represents the size and direction of the sharpest increase in value at a certain location. The magnitude of this vector, which denotes the direction of the greatest rate of rise of the surface, indicates how steep the rise is. The influence of this gradient is felt along a surface, which is the difference. It stands in for a unit that is level with the ground.

In mathematics, the vector grad f(x,y,z) = (df/dx, df/dy, df/dz) represents the gradient of a three-variable function with scalar values, f(x,y,z). Variables like optimization and electromagnetism employ the gradient of a surface, which is a crucial notion in vector calculus. In particular, the gradient of a surface is frequently used to compute the normal vector to a surface or to identify the direction of the steepest rise or drop in a landscape.

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The statement that is if two events are complementary, they must also be mutually exclusive events is False.

Because not all mutually exclusive occurrences are necessarily complimentary, whereas all complementary events are mutually exclusive.  

Mutually excusive events are those events that do not occur at the same time.

Complementary events are those two events which are the only possible events.

Since P(A) + P(B) =1, A and B are possible events.Hence A and B are mutually exclusive and complementary events

Therefore the statement is false.

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