Special assignment- An exercise in following directions in simple calculations - due this Fri 4:00 PM Directions: Number down your sheet. 1-10, leaving room for calculations. You may use a calculator. 1. Write down a 3-digit number, so that the first and last digits differ by more than 1 2. Reverse the digits from #1 3. Subtract line 2 from line 1, & write as #3 4. #3] (Take Absolute value of #3) 5. Reverse digits of #4, and write as #5 6. Add lines 4 & 5 7. Multiply by one million [Add 6 zeros) 8. Subtract 244,716,484, and write as #8 9. Under each 5 in #8, write the letter R Under each 8 in #8, write the letter L (If there is no 8, you don't have to write anything, and the same for each of the other numbers) Under each 1, write the letter P Under each 3, write the number 1 Under each 7, write the letter M Under each 4, write the number zero Under each 2, write the letter F Under each 6, write the letter A What you have so far, will be on line 9 10 Copy line 9 backwards

Answers

Answer 1

On doing the calculations according to the given direction the final answer we get is A1PRF0LL.

To complete this special assignment, follow these steps:

1. Write down a 3-digit number, so that the first and last digits differ by more than 1. For example 513.

2. Reverse the digits from step 1. In our example: 315.

3. Subtract the number from step 2 (315) from the number in step 1 (513), and write it as step 3. Result: 198.

4. Take the absolute value of the number from step 3 (198). Since it's already positive, the result is still 198.

5. Reverse the digits of the number from step 4 (198). Result: 891.

6. Add the numbers from steps 4 (198) and 5 (891). Result: 1089.

7. Multiply the number from step 6 (1089) by one million (add 6 zeros). Result: 1,089,000,000.

8. Subtract 244,716,484 from the number in step 7 (1,089,000,000). Result: 844,283,516.

9. Replace the digits in step 8 (844,283,516) with the corresponding letters or numbers:
  8 -> L, 4 -> 0, 2 -> F, 5 -> R, 1 -> P, 3 -> 1, 6 -> A, 7 -> M
  Result: L0LFRP1A.

10. Copy the result from step 9 (L0LFRP1A) backward. We will get A1PRF0LL.

Therefore, our final answer will be A1PRF0LL.

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Related Questions

Using Boolean algebra, simplify the following expressions: 1. ABC +(A+B+7) 2. (A+Ā)(AB+ ABC) 3. (B+BC)(B+ BC)(B+D)

Answers

Boolean algebra is a type of algebra that deals with binary variables and logical operations. In this case, we're simplifying expressions using Boolean algebra.

1. ABC +(A+B+7)

First, let's simplify the expression in the parentheses:
A + B + 7 = 1 (since any input to a Boolean function that is not 0 is considered 1)
Now, let's substitute this value back into the original expression:
ABC + 1
This is the simplified expression.

2. (A+Ā)(AB+ ABC)

Using the identity A + Ā = 1, we can simplify the first set of parentheses:
(A + Ā)(AB + ABC) = AB + ABC

3. (B+BC)(B+ BC)(B+D)

Using the distributive property of Boolean algebra, we can simplify the first set of parentheses:
(B + BC)(B + BC)(B + D) = (B + BC)(B + D)
Using the distributive property again, we can simplify this further:
(B + BC)(B + D) = BB + BCD
Simplifying further, we know that B + BC = B and BB = B, so we can simplify to:
B + BCD

So, the simplified expressions are:
1. ABC + 1
2. AB + ABC
3. B + BCD

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Help me please asap

Answers

Answer:

75

Step-by-step explanation:

300/4 = 75

Change of y/ change of x = gradient

Spending = 60 + 5(Age of Consumer) is the prediction equation from a linear regression analysis. If a consumer is 20 years old, what is the model's prediction for Spending? a. $160 b. $100 c.$80

Answers

The correct answer is (a) $160.

The prediction equation, Spending = 60 + 5(Age of Consumer), suggests that there is a linear relationship between the age of a consumer and their spending. The equation can be interpreted as follows: for every additional year in age, the consumer's spending is expected to increase by $5, and the baseline spending for a consumer of any age is $60.

To find the model's prediction for spending when the consumer is 20 years old, we simply substitute 20 for Age of Consumer in the equation:

Spending = 60 + 5(20) = 60 + 100 = $160

Therefore, the correct answer is (a) $160.

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If P(A) = 0.62, P(B) = 0.47, and P(A È B) = 0.88; then P(A Ç B) =
a. 0.6700
b. 0.2914
c. 0.2100
d. 1.9700

Answers

In order to find the probability of the intersection of two events, P(A ∩ B), we can use the formula: P(A ∩ B) = P(A) + P(B) - P(A ∪ B) Therefore, the correct answer is c. 0.2100.

In order to find the probability of the intersection of two events, P(A ∩ B), we can use the formula:

P(A ∩ B) = P(A) + P(B) - P(A ∪ B)

Given the probabilities P(A) = 0.62, P(B) = 0.47, and P(A ∪ B) = 0.88, we can plug these values into the formula:

P(A ∩ B) = 0.62 + 0.47 - 0.88

P(A ∩ B) = 1.09 - 0.88

P(A ∩ B) = 0.21

Therefore, the correct answer is option (c) 0.2100.

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A simple random sample of 60 items resulted in a sample mean of 25. The population standard deviation is σ = 9. (Round your answers to two decimal places.)
(a) What is the standard error of the mean, σx?
(b) At 95%9 confidence, what is the margin of error?

Answers

The standard error of the mean is 1.16. At 95% confidence, the margin of error is 2.27.

(a) The standard error of the mean, σx, can be calculated using the formula:
σx = σ/√n
where σ is the population standard deviation, and n is the sample size.
Substituting the given values, we get:
σx = [tex]\frac{9}{ \sqrt{60} }[/tex]
σx = 1.16
Therefore, the standard error of the mean is 1.16.

(b) To find the margin of error, we need to use the formula:
The margin of error = z(σx)
where z is the z-score corresponding to the level of confidence. For 95% confidence, the z-score is 1.96 (using a standard normal distribution table).
Substituting the values we get:
Margin of error = 1.96(1.16)
Margin of error = 2.27

Therefore, at 95% confidence, the margin of error is 2.27. This means that we can be 95% confident that the true population means falls within 2.27 units of the sample mean of 25.

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a. The number of people initially affected is.
b. how many people were ill by the end of the fourth week
c. What is the limiting size of the population of becomes ill?

Answers

Where the logistic growth function is f( t) = 116000/(1+5200e⁻t)

a) 22 people were initially affected

b) after 4 weeks the numbers increased to 1,205 approximately

c) the limiting size of the population that becomes ill is 116,000.

What is a logistic growth function?

The logistic equation (also known as the Verhulst model or logistic growth curve) is a population growth model developed by Pierre Verhulst (1845, 1847).

a) since when the epidemic began, the initial number of infection will always be zero, thus:

f( t) = 116000/(1+5200e⁻t )

Note that e is the mathematical constant known as Euler's number or the natural base. e = 2.71828

f(0) = 116000/(1+5200e⁻0 )

f(0) = 116000/(1+5200 (2.71828)⁻0 )

f(0) = 116000/(1+5200 (1) )

f(0) = 116000/(1+5200 )

f(0) = 116000/(5201 )

f(0) = 22.3034031917

f (0) [tex]\approx[/tex] 22

B) by the fourth week,

the expression became f(4) = 116000/(1+5200e⁻4 )

f (4) = 116000 /(1+5200 (e)⁻4 )
f (4) = 1205.30347384
f (4)  
[tex]\approx[/tex] 1205

C)

Since the logistic curve is given as....

f(t) = 116000/(1+5200e⁻t )

as t becomes smaller and smaller nearing 0, the denominator will be almost 1

So
f(t) = 116000/(1+5200e⁻ ∞ )

f(t) = 116000/(1+0 )

f(t) = 116,000

As you can see, the limit to the size of the population that can fall ill is 116,000 peple.

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What is the probability that
both events will occur?
A coin and a die are tossed.
Event A: The coin lands on heads
Event B: The die is 5 or greater
P(A and B) = P(A) - P(B)
P(A and B) = [?]
Enter as a decimal rounded to the nearest hundredth.
Enter

Answers

The probability that both event will occur is 1/6

What is probability?

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event to occur is 1 which is equivalent to 100%.

Probability = sample space/ total outcome

the probability that a coin will lands on head = 1/2 since a coin has two faces.

Also the probability that when a die is rolled , the probability of getting 5 or greater = 2/6, since die has 6 sides and 2 sides has 5 and greater.

Therefore the probability of getting both event = 1/2 × 2/6 = 1/6

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Classify the outcomes described in cach scenario as mutually exclusive or not mutually exclusive Mutually exclusive Not mutually exclusive Answer Bank
Maya chooses cither red or yellow when taking one crayon from a set of 16.
Sally wears a blue shirt or blue pants. Raymond draws a 2 or a 3 when taking a singlo card from a deck. Jack either goes to his friends house or does his homework Hannah gets either heads or tails when she flips a coin Sam lives in either a small house or a yellow house

Answers

Sam lives in either a small house or a yellow house.

Mutually exclusive:

Maya chooses either red or yellow when taking one crayon from a set of 16.

Raymond draws a 2 or a 3 when taking a single card from a deck.

Hannah gets either heads or tails when she flips a coin.

Not mutually exclusive:

Sally wears a blue shirt or blue pants.

Jack either goes to his friend's house or does his homework.

Sam lives in either a small house or a yellow house.

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In the diagram below, ZNLM ZNOP. Solve for z. Round your answer to the
nearest tenth if necessary.
X
O
12
L
20
16
M

Answers

The value of the variable x is 24

How to determine the values

To determine the value of the variable, it is important that we know;

A triangle is a polygon.A triangle has three sides.It has three angles.

From the information given, we have;

<NLM ≅ <NOP

We have the values;

NLM = x + 12

NOP = 20 + 16

Now, substitute the values

x + 12 = 20 + 16

add the values

x + 12 = 36

collect the like terms

x = 36 - 12

subtract the values

x = 24

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Finding the Missing Measures in a Hexagon

Find the missing measures in this regular hexagon.

The length of the apothem of the hexagon is about

inches.

The perimeter of the hexagon is

winches.

The area of the hexagon is about

inches.

square

16 in.

16 in.

Answers

The hexagon's apothem is approximately 13.856 inches long. The hexagon's perimeter is 96 inches. The hexagon has a surface area of approximately 665.088 square inches.

A hexagon is a six-sided polygon in geometry. The sum of any simple (non-self-intersecting) hexagon's internal angles is 720°.

Given that the length of a side is = 16 in

So half a side = 8 in

Using the Pythagorean theorem, calculate the area of the given right triangle.

Apothem = [tex]\sqrt{16^{2} - 8^{2} }[/tex]

= [tex]\sqrt{256 - 64}[/tex]

= √192

= 13.856 inches.

Now, we will calculate the perimeter of the hexagon. We have been given 6 sides of hexagon and each side length is 16 in, so

Perimeter = 16 × 6 = 96 inches

Area of hexagon = 1/2 × apothem × perimeter

= 1/2 × 13.856 × 96

= 665.088 inches

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Correct question:

Find the missing measures in this regular hexagon.

A regular hexagon has side lengths of 16 inches. The radius is 16 inches. An apothem is shown.

The length of the apothem of the hexagon is about ___inches.

The perimeter of the hexagon is ___ inches.

The area of the hexagon is about ___ square inches.

1. [5 marks] Find the coefficients of the Fourier series expansion of the function f(x) = 1 for x € (-1,0) 2 – x for x € (0,1)

Answers

The Fourier series for the original function f(x) is:

f(x) = (1/2) + ∑[n=1,∞] [(4/nπ²) * (1 - (-1)^n) cos(nπx/2) + (4/nπ) * sin(nπ/2) sin(nπx/2)] for x € (-1,1)

To find the Fourier series coefficients for the given function, we need to first determine the period of the function.

Since the function is defined differently for x in the interval (-1,0) and (0,1), we can break down the function into two separate periodic functions, each with its own period.

For the interval (-1,0), the function is a constant function equal to 1. Hence, the period is simply 2.

For the interval (0,1), the function is a linear function given by f(x) = 2 - x. The period of a linear function is always infinite, but we can restrict the domain to a smaller interval to get a periodic function. We can choose the interval (0,2) as the period for this function, since f(x + 2) = 2 - (x + 2) = 2 - x = f(x) for all x in the interval (0,1).

Now, we can write the Fourier series for each of the two periodic functions:

For the function defined on (-1,0), the Fourier series coefficients are given by:

an = (1/2) * ∫[-1,1] f(x) cos(nπx/2) dx

= (1/2) * ∫[-1,0] cos(nπx/2) dx (since f(x) = 1 for x in (-1,0))

= (1/2) * [(2/π) * sin(nπ/2)]

bn = (1/2) * ∫[-1,1] f(x) sin(nπx/2) dx

= (1/2) * ∫[-1,0] sin(nπx/2) dx (since f(x) = 1 for x in (-1,0))

= (1/2) * [(2/π) * (1 - cos(nπ/2))]

For the function defined on (0,1), the Fourier series coefficients are given by:

an = (1/2) * ∫[0,2] f(x) cos(nπx/2) dx

= (1/2) * ∫[0,1] (2 - x) cos(nπx/2) dx

= (1/2) * [(4/nπ²) * (1 - (-1)^n)]

bn = (1/2) * ∫[0,2] f(x) sin(nπx/2) dx

= (1/2) * ∫[0,1] (2 - x) sin(nπx/2) dx

= (1/2) * [(4/nπ) * sin(nπ/2)]

Hence, the Fourier series for the original function f(x) is:

f(x) = (1/2) + ∑[n=1,∞] [(4/nπ²) * (1 - (-1)^n) cos(nπx/2) + (4/nπ) * sin(nπ/2) sin(nπx/2)] for x € (-1,1)

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A 523 lb mass of ice melts at 4.3 per hour. What is the weight after 10 hours to the nearest tenth?

Answers

The weight of the ice after 10 hours is 1217 lb



How to calculate the weight of the ice after 10 hours?

A 523 lb mass of ice melts at 4.3 hours

The first step is to calculate the weight after one hour

523= 4.3

x= 1

cross multiply both sides

4.3x= 523

x= 523/4.3

x= 121.7

The weight after 10 hours can be calculated as follows

121.7= 1

y= 10

y= 121.7 × 10

y= 1217

Hence the weight after 10 hours is 1217 lb

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find the area of the parallelogram whose vertices are $\bold{0}$, $\bold{a}$, $\bold{b}$, and $\bold{a} \bold{b}$, where $\bold{a}$ and $\bold{b}$ are the vectors defined in part (a).

Answers

The area of the parallelogram formed by the given vertices A(1, 0, -1), B(1, 7, 2), C(2, 4, -1), and D(0, 3, 2) is 2√21 square units.

To calculate the area of a parallelogram, we can use the cross product of two vectors formed by the sides of the parallelogram. The vectors AB and AD can be calculated by subtracting the coordinates of the initial and final points.

The cross product of these vectors gives us a vector representing the area of the parallelogram. Taking the magnitude of this vector gives us the area of the parallelogram. The magnitude of the cross product of AB and AD is 24, so the area of the parallelogram is 24 square units.

In this case, the vector AB is (-3, 7, 3), and the vector AD is (-1, 3, 3). Taking the cross product of these vectors gives us the vector (-12, 6, 24). The magnitude of this vector is √(12² + 6² + 24²) = √756 = 2√21. Therefore, the area of the parallelogram is 2√21 square units.

Complete Question:

Find the area of the parallelogram whose vertices are A(1, 0, −1), B(1, 7, 2), C(2, 4, −1), D(0, 3, 2).

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Farah's gym class is running a relay race. Each of the 4 students on her team runs 2 laps around the track. If every lap is 400 meters long, how many kilometers does Farah's team run in all?

Answers

Farah's team runs a total of 3.2 kilometers in the relay race.

We have,

First, let's start with the number of laps each student runs:

2 laps per student x 4 students

= 8 laps in total

Next, let's convert the number of laps to the total distance:

8 laps x 400 meters per lap = 3200 meters

Finally, let's convert the distance from meters to kilometers:

3200 meters ÷ 1000 meters per kilometer

= 3.2 kilometers

Thus,

Farah's team runs a total of 3.2 kilometers in the relay race.

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What are the expanded form and sum of the series ∑6n=13(2)n−1

Answers

The expanded form of the series [tex]\sum_{n=6}^{13}(2)^{n -1}[/tex] is given by  (2⁵) + (2⁶) + (2⁷) + (2⁸) + (2⁹) + (2¹⁰) + (2¹¹) + (2¹²) and the sum of the given series is equal to 8160.

The series is equal to,

[tex]\sum_{n=6}^{13}(2)^{n -1}[/tex]

First expand the series by plugging in the values of n from 6 to 13,

= 2⁶⁻¹ + 2⁷⁻¹ + 2⁸⁻¹ + 2⁹⁻¹ + 2¹⁰⁻¹ + 2¹¹⁻¹ + 2¹²⁻¹ + 2¹³⁻¹

= (2⁵) + (2⁶) + (2⁷) + (2⁸) + (2⁹) + (2¹⁰) + (2¹¹) + (2¹²)

Now,  use the formula for the sum of a geometric series to find the sum of this series,

S = a(1 - rⁿ)/(1 - r)

Here, a is the first term of the series,

r is the common ratio which is equals to 2 ,

and n is the number of terms in the series = 8.

Using this formula,  find the sum of the series we have,

S = (2⁵)(1 - 2⁸)/(1 - 2)

  = 32( 1-256 ) / (-1)

  = 8160

 

Therefore, the expanded form of the series is equal to (2⁵) + (2⁶) + (2⁷) + (2⁸) + (2⁹) + (2¹⁰) + (2¹¹) + (2¹²) and the sum of the series is 8160.

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The above question is incomplete, the complete question is:

What are the expanded form and sum of the series

[tex]\sum_{n=6}^{13}(2)^{n -1}[/tex]

How are evidence and counterexamples used in proofs?
In a direct proof, evidence is used to
. On the other hand, a counterexample is a single example that
.

Answers

In a direct proof, evidence is used to support a claim, On the other hand, a counterexamples is a single example that show the contradictions in a claim.

What is difference between evidence and counterexamples in a proof?

Evidence means any piece of information that supports the argument being made in a proof which could include mathematical formulas, logic, or theorems that have been previously proven.

Counterexamples are specific examples that disprove a statement made in a proof and are used to show that a proof is not valid and that the argument being made is flawed.

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MODELING REAL LIFE You have a total of 42 math and science problems for homework. You have 10 more math problems
man science problems. How many problems do you have in each subject?

Answers

Answer:

16 science problems

26 math problems

Step-by-step explanation:

m = number of math problems

s = number of science problems

m = s + 10

m + s = 42

(s + 10) + s = 42

2s + 10 = 42

2s = 42 - 10 = 32

s = 32/2 = 16

m = s + 10 = 16 + 10 = 26

an account is opened with an initial deposit of $8,500 and earns 3.9% interest compounded semi-annually. what will the account be worth in 40years

Answers

The account will be worth $39,847.15 in 40 years.

Given,

P = 8500 is the amount deposited

r = 0.039 is the decimal form of the 3.9% interest rate

n= 2 is the number of times the money is compounded per year

t = 40 is the number of years

We know that the amount  calculated semi-annually is:

[tex]A = P ( 1+\frac{r}{n})^{n*t}[/tex]

[tex]A = 8500 (1 + \frac{0.039}{2})^{2*40}[/tex]

[tex]A = 8500( 1 + 0.0195)^{80}[/tex]

[tex]A = 8500 * 4.6875[/tex]

A = $39,847.15

As a result, The account will be worth $39,847.15 in 40 years.

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Each of the dimensions of a pyramid are doubled. What is true about the volume of the new pyramid?
1
The new pyramid has a volume that is
the volume of the original pyramid.
The new pyramid has a volume that is 2 times the volume of the original pyramid.
The new pyramid has a volume that is 4 times the volume of the original pyramid.
The new pyramid has a volume that is 8 times the volume of the original pyramid.
Mark this and return
Save and Exit
Next

Answers

The dimensions of the new pyramid is 8 times the original volume.

How to solve

The area of the pyramid's base and its height are exactly proportional to its volume, hence the volume of any pyramid is equal to the area of the base times the height of the pyramid divided by three.

Knowing the formula of the pyramid is:

1/3 x a x b x h

If the dimensions are doubled, it will be :

1/3 x 2a x 2b x 2h

So:

v2= 1/3 x 2a x 2b x 2h

v2 = 1/3 x 8 x a x b x h

Hence, The new volume is 8 times more than the original.

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one option for the game is to change the matching scheme. we will be comparing these two matching schemes. the shapes and cutouts are all the same color (sc) the shapes and cutouts are different colors (dc) is there a difference in the average time to complete all of the matches(s) for the different matching schemes? each person completed the puzzle using both methods. what is the appropriate alternative hypothesis? group of answer choices ha: psc - pdc does not equal 0 ha: mu d does not equal 0 ha: xbarsd - xbardc does not equal 0

Answers

The appropriate alternative hypothesis is: Hₐ: [tex]\mu_{sc[/tex] - [tex]\mu_{dc[/tex] does not equal 0, where [tex]\mu_{sc[/tex] is the mean time to complete all matches using the "shapes and cutouts are all the same color" matching scheme, and [tex]\mu_{dc[/tex] is the mean time to complete all matches using the "shapes and cutouts are different colors" matching scheme.

What is alternative hypothesis?

An assertion used in statistical inference experiments is known as the alternative hypothesis. It is indicated by Hₐ or H₁ and runs counter to the null hypothesis.

The appropriate alternative hypothesis is: Hₐ: [tex]\mu_{sc[/tex] - [tex]\mu_{dc[/tex] does not equal 0, where [tex]\mu_{sc[/tex] is the mean time to complete all matches using the "shapes and cutouts are all the same color" matching scheme, and [tex]\mu_{dc[/tex] is the mean time to complete all matches using the "shapes and cutouts are different colors" matching scheme.

This hypothesis is appropriate because it is testing whether there is a statistically significant difference in the mean time to complete all matches between the two matching schemes. The null hypothesis would be that there is no difference in the mean time between the two schemes, i.e., H₀: [tex]\mu_{sc[/tex] - [tex]\mu_{dc[/tex] = 0.

To test this hypothesis, we can use a paired t-test, which compares the mean difference between the two sets of measurements (in this case, the time to complete all matches using the two matching schemes) to the standard error of the mean difference. If the t-test results in a p-value that is smaller than the chosen significance level (typically 0.05), we reject the null hypothesis and conclude that there is a statistically significant difference between the mean times for the two matching schemes.

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The appropriate alternative hypothesis is: Hₐ:  - does not equal 0, where  is the mean time to complete all matches using the "shapes and cutouts are all the same color" matching scheme and  is the mean time to complete all matches using the "shapes and cutouts are different colors" matching scheme.

An assertion used in statistical inference experiments is known as the alternative hypothesis. It is indicated by Hₐ or H₁ and runs counter to the null hypothesis.

The appropriate alternative hypothesis is: Hₐ:  - does not equal 0, where  is the mean time to complete all matches using the "shapes and cutouts are all the same color" matching scheme and is the mean time to complete all matches using the "shapes and cutouts are different colors" matching scheme.

This hypothesis is appropriate because it is testing whether there is a statistically significant difference in the mean time to complete all matches between the two matching schemes. The null hypothesis would be that there is no difference in the mean time between the two schemes, i.e., H₀:  - = 0.

To test this hypothesis, we can use a paired t-test, which compares the mean difference between the two sets of measurements (in this case, the time to complete all matches using the two matching schemes) to the standard error of the mean difference. If the t-test results in a p-value that is smaller than the chosen significance level (typically 0.05), we reject the null hypothesis and conclude that there is a statistically significant difference between the mean times for the two matching schemes.

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What value of p result in predictions that the helicopter will land in a finite amount of time for the model dh/dt = -h^p? Explain and show all work

Answers

we conclude that the helicopter will land in a finite amount of time if and only if p <= 0.

The differential equation dh/dt = [tex]-h^{p}[/tex], where h is the height of the helicopter, represents the rate of change of the height with respect to time. To find the value of p that results in predictions that the helicopter will land in a finite amount of time, we need to consider the behavior of the solution as h approaches zero.

If we assume that the helicopter will eventually land, then the height h will approach zero as time goes to infinity. Therefore, we can consider the behavior of the solution near the origin. To do this, we will use a technique called separation of variables.

Separation of variables involves writing the differential equation in the form dh/[tex]h^{p}[/tex] = -dt and then integrating both sides. This gives:

∫h_[tex]0^{h}[/tex] dh / [tex]h^{p}[/tex] = ∫0^t -dt

where h_0 is the initial height of the helicopter.

The left-hand side can be evaluated using the power rule of integration:

[tex][1/(1-p)] [h^{(1-p)}]_h_0^{h} = -t[/tex]

where [f(x)]_aᵇ denotes the value of f(x) evaluated at b minus the value of f(x) evaluated at a.

We can simplify this expression by using the fact that h_0 is nonzero, so h^(1-p)_0 approaches infinity as h approaches zero. Therefore, we can neglect the term h^(1-p)_0 and write:

[tex][1/(1-p)] h^{(1-p)} = -t[/tex]

If p > 1, then h^(1-p) approaches zero as h approaches zero. Therefore, the left-hand side of the equation approaches infinity as t approaches a finite value. This implies that the helicopter will never land, which contradicts our assumption that it will eventually land. Therefore, we must have p <= 1.

If p = 1, then the left-hand side of the equation becomes ln(h), which approaches negative infinity as h approaches zero. Therefore, the equation cannot hold for any finite value of t. This implies that the helicopter will not land in a finite amount of time.

If p < 1, then the left-hand side of the equation approaches infinity as h approaches zero. Therefore, the equation cannot hold for any finite value of t. This implies that the helicopter will not land in a finite amount of time.

Therefore, we conclude that the helicopter will land in a finite amount of time if and only if p <= 0.

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Enrique thinks of a point in the coordinate plane. The y-coordinate of the point is the opposite of its x-coordinate. In which quadrant or quadrants of the coordinate plane could this point be located? Explain how you know.​

Answers

Answer:

2nd and 4th

Step-by-step explanation:

In the second quadrant, the x-coordinate is negative and the y-coordinate is positive. If we let the x-coordinate be -a, then the y-coordinate will be a. Therefore, the point will have the form (-a, a), and the y-coordinate will be the opposite of the x-coordinate.

In the fourth quadrant, the x-coordinate is positive and the y-coordinate is negative. If we let the x-coordinate be a, then the y-coordinate will be -a. Therefore, the point will have the form (a, -a), and again, the y-coordinate will be the opposite of the x-coordinate.

A sign is in the shape of a rhombus. The diagonals are 1.75 feet and 2.5 feet. What is the area of the sign? 2.125 ft2 2.1875 ft2 4.25 ft2 4.375 ft2

Answers

Answer:

Area = 2.1875

Step-by-step explanation:

The formula for area of a rhombus is A = 1/2(d1)(d2), where d1 is one of its rhombus and d2 is the other.  Thus, to find the area, we can plug into the formula 1.75 for d1 and 2.5 for d2 and solve for A:

A = 1/2(1.75)(2.5)

A = 0.875*2.5

A = 2.1875

Question
The figure is the net for a rectangular prism.

What is the surface area of the rectangular prism represented by the net?



Enter your answer in the box.

Answers

Answer:

2(9(5) + 5(3) + 9(3)) = 2(45 + 15 + 27) = 2(87) = 174 square inches

A window is the shape of a quadrilateral. Find the indicated measure

Answers

A quadrilateral is a shape with four sides: The indicated measures are A = 56, B = 128, C = 100 and D = 76.

The indicated measures:

The angles in a quadrilateral add up to 360 degrees.

So, we have:

4n + 5n + 6 + 9n + 2 + 8n - 12 = 360

Collect like terms

4n + 5n + 9n + 8n = 360 - 6 - 2 + 12

Evaluate the like terms

26n = 364

Divide through by 26

n = 14

From the figure, we have:

A = 4n

B = 9n + 2

C = 8n - 12

D = 5n + 6

So, we have:

A = 4 * 14 = 56

B = 9*14 + 2 = 128

C = 8*14 - 12 = 100

D = 5*14 + 6 = 76

Hence, the indicated measures are

A = 56, B = 128, C = 100 and D = 76

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Correct Question:

A window is the shape of a quadrilateral. Find the indicated measure

In an election, 7/20 of the voters voted for a new school tax. What is the probability that a randomly selected voter did not vote for the tax? Express your answer as a percentage.

Answers

Answer:

65%

Step-by-step explanation:

ITS CORRECT

The length of the shorter leg of a 30-60-90 Special Right Triangle is 17 yd long. How long is the longer leg of the triangle? Question 3 options:

Answers

The longer leg of the triangle is 17✓3 yards based on the information of triangle and shorter leg length.

We will use law of sines relating an angle and it's opposite side -

sin shorter angle/shorter side = sin longer angle/longer side

The formula is as per the known fact that wide angle will have wider side opposite to it

Keep the values in formula -

sin 30/17 = sin 60/longer side

Longer side = 17 sin 60/sin 30

Substitute the values of sin 30 and sin 60

Longer side = (17 × ✓3/2)/(1/2)

Longer side = 17✓3 yards.

Thus, the longer leg of the right triangle is 17✓3 yards.

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26/3 minus 16/9 equals what

Answers

Answer:

[tex]\frac{62}{9}[/tex] or  6.8888889

Step-by-step explanation:

The explanation is on the attachment below

The reinventing government (REGO) approach to publicadministration and bureaucracy advocates a mission-driven approachto public service delivery as opposed to a rule-driven approach.Why do REGO advocates argue that such an approach would bebeneficial to bureaucracies? Do their arguments about improvedbudgets and greater employee creativity and flexibility make sense?Why? Are there certain types of agencies that may be more open tosuch ideas?

Answers

The Reinventing Government (REGO) approach to public administration and bureaucracy emphasizes a mission-driven approach to public service delivery, rather than a rule-driven approach. REGO advocates argue that this approach is beneficial to bureaucracies for several reasons.

Firstly, a mission-driven approach allows for improved budget management, as resources can be allocated more efficiently based on the organization's priorities and goals. This can lead to cost savings and better use of public funds.

Secondly, a mission-driven approach fosters greater employee creativity and flexibility. By focusing on the overarching objectives, employees have more freedom to innovate and develop new strategies to achieve those goals. This can lead to increased productivity and better outcomes for the public.

There may be certain types of agencies that are more open to adopting the REGO approach. Generally, agencies with a clear and well-defined mission, as well as those that can easily measure their performance, might be more receptive to the idea of a mission-driven approach. Additionally, agencies with a culture of innovation and adaptability might also be more inclined to embrace this approach.

In summary, the Reinventing Government approach aims to improve public service delivery by focusing on the mission of an organization. Its benefits include better budget management, increased employee creativity and flexibility, and overall improved outcomes for the public. The suitability of the REGO approach may vary depending on the agency's mission, performance measurement capabilities, and culture.

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Find (a) the circumference and (b) the area of the circle. Use 3.14 or 22/7 for
pi . Round your answer to the nearest whole number, if necessary. 70 in

Answers

a) The value of circumference of circle is,

C  = 219.8 Inches

b) The value of area of circle is,

A = 3,846.5 in²

Given that;

The diameter of circle is, 70 inches

a) Circumference of circle is,

C = π × diameter,

So, We get;

C = 3.14 × 70

C  = 219.8 Inches

b) The area of circle is,

A = πr²,

And, Radius is 1/2 of diameter,

Hence, Radius = 70/2 = 35 inches

Thus, We get;

A =  3.14 × 35²

A = 3.14 × 1225,

A = 3,846.5 in²

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