A ringtoss toy is composed of a rectangular prism on top of a cylinder. The rectangular prism is completely filled with water. The dimensions of the rectangular prism are shown in the diagram.



What is the volume of the rectangular prism in cubic centimeters?

165 cm3

270 cm3

348 cm3

26 cm3

(a) the sample mean is 0.0494 and the sample variance is 0.000016, (b) the upper quartile is 0.04775, and the lower quartile is 0.0510, (c) the sample median is 0.04975, (d) boxplot is attached, and (e) the 5th and 95th percentiles of the inside diameter are 0.03974 and 0.056995 respectively.

(a) The mean = sum of all values divided by the number of values

μ = (x1 + x2 + ..... + xn)/n

n = 20

μ = (0.0395 + 0.0443+ 0.0450 + ... + 0.0550 + 0.0571)/20

μ = 0.9878/20

μ = 0.0494

(b) Variance = sum of squared deviations from the mean divided by n-1

s² = {(x1-μ)² + (x2-μ)² + .... (xn - μ)²)/(n-1)

s² = {(0.0395-0.0494)² + (0.0443-0.0494)² + .... +(0.0571-0.0494)²}/19

s² = 0.000016

(b) The minimum is 0.0395 and the maximum is 0.0571.

since the number of data is even, the median will be the average of two middle values.

M = Q2 = (0.0496+0.0499)/2 = 0.04975

Now, the first quartile is the median of the data values below the median

so Q1 = (0.0470+0.0485)/2 = 0.04775

And third quartile will be the median of the data values above the median

Q3 = (0.0504+0.0516)/2 = 0.0510

(c) Since we know that the number of data values is even, the median will be the average of the two middle values of the data set

so M = (0.0496+0.0499)/2

or M = 0.04975

(d) The boxplot is at maximum and minimum values. It will start in Q1 and end in Q3 and has a vertical line at the median or Q2.

The boxplot is attached.

(e) The 5th percentile means 0.05(n+1)th data value

or = 0.05(20+1) = 1.05th data value

5th percentile = 0.0550 + 0.05(0.0443-0.0395) = 0.03974

similarly,

95th percentile = 0.0550 + 0.95(0.0571-0.0550) = 0.056995

Therefore, (a) the sample mean is 0.0494 and the sample variance is 0.000016, (b) the upper quartile is 0.04775, and the lower quartile is 0.0510, (c) the sample median is 0.04975, and (e) the 5th and 95th percentiles of the inside diameter are 0.03974 and 0.056995 respectively.

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answer: d

explanation: it just is

Answer:

Option B

Step-by-step explanation:

There are 1,000 people to start. It's growing by 2% every three year, so that would be 1.02%.

So p=1,000(1.02)^1/3

Answer:

b

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

  yes

Step-by-step explanation:

The standard form of a polynomial has the exponents decreasing left to right. Here, the exponents are 4, 3, 1, 0, so are decreasing left to right. The expression is in standard form.

Answer:

671.93 yds

Step-by-step explanation:

Let x be the distance from Jake to the airplane.

300/sin(20) = x/sin(130) -> 300sin(130)/sin(20)

x= 671.93 yds

It is wrong. Because Verania has a comparative advantage in washing dishes, she should wash dishes, and Josimar should vacuum.

Having an absolute advantage in both things does not mean that Verania has a Comparative advantage in both as well.

They should find out which activity they both have a comparative advantage in and focus on that. The activity that costs the least opportunity cost is the one they have a comparative advantage.

Verania

Opportunity cost of vacuuming = 2 / 1 = 2 hours of washing dishes

Opportunity cost of washing = 1/2 = 0.5 hours of vacuuming

Josimar

The opportunity cost of vacuuming = 3/2 = 1.5 hours of washing dishes

Opportunity cost of washing = 2/3 = 0.66 hours of vacuuming

Verania has a comparative advantage in washing dishes while Josimar has a comparative advantage in vacuuming.

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Answer:

8^5

Step-by-step explanation:

division is just minusing exponents

The correct value of this expression is 8⁵

A fraction is also a division. When we divide power with equal bases - we subtract the exponents and keep the base.

Therefore, the answer correct is 8⁵

We need the normal form first

\(\\ \rm\bull\rightarrowtail \dfrac{x}{a}+\dfrac{y}{b}=1\)

\(\\ \rm\bull\rightarrowtail \dfrac{x}{3}-\dfrac{y}{2}=1\)

Multiply by 6to bring standard form

\(\\ \rm\bull\rightarrowtail 2x-3y=1\)

S is not a subspace of R^4. This shows the set is not a subspace of R4

To determine if S is a subspace of R^4, we have to check if it satisfies the three properties of a subspace: closure under addition, closure under scalar multiplication, and contains the zero vector.

Closure under addition:

Let (o,p,q,r) and (o',p',q',r') be two vectors in S.

(op - qr) + (o'p' - q'r') = op + o'p' - qr - q'r'

= (o + o')p - (q + q')r

If (o + o')p - (q + q')r = 0, then (o + o', p + p', q + q', r + r') is also in S.

However, this is not always true.

Consider the vectors (1,0,1,0) and (-1,0,-1,0) in S:

= (1,0,1,0) + (-1,0,-1,0)

= (0,0,0,0)

But (0,0,0,0) does not satisfy the condition op - qr = 0, so it is not in S. Therefore, S does not satisfy closure under addition.

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The stability condition for the feedback system is that the parameter a must be greater than 0 (a > 0). The value of k does not affect the stability condition in this case.

What is stability?

Stability refers to the property of a system or process to remain bounded and not exhibit unbounded or excessive growth or oscillations over time.

To determine the stability condition(s) for k and a in the feedback system with the transfer function \(G(s) = (s + 1) / [s(s + a)^2]\), we can analyze the poles of the system.

The stability of a system is determined by the location of its poles in the complex plane. For stability, all the poles of the transfer function G(s) must have negative real parts or lie on the left-hand side of the complex plane.

The transfer function G(s) can be written as:

\(G(s) = (s + 1) / [s(s + a)^2]\)

The denominator of G(s) has three poles: s = 0, s = -a, and s = -a (repeated).

Pole at s = 0:

The pole at s = 0 does not depend on the parameters k and a. It is always a simple pole with a real part of 0. Therefore, it does not affect the stability condition.

Pole at s = -a:

The pole at s = -a is repeated twice. To ensure stability, the real part of this pole must be negative. Therefore, the stability condition for this pole is -a < 0, which implies that a > 0.

Pole at s = -a (repeated):

The pole at s = -a is repeated twice. Similar to the previous case, to ensure stability, the real part of this pole must be negative. Therefore, the stability condition for this pole is also -a < 0, which implies that a > 0.

In summary, the stability condition for the feedback system is that the parameter a must be greater than 0 (a > 0). The value of k does not affect the stability condition in this case.

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Answer:

Step-by-step explanation:

Putting values in the equation

1/3 / 1/2 = 0.166

Answer:

lol i already answered this its 2/3

Step-by-step explanation:

im not typing it again u can look at ur other question tho i put it there lol

The equation needed to find the maximum number of students is 5x + 10 ≤ 125

Inequalities is an expression used to show the non equal comparison of numbers and variables.

Let x represent the number of tickets bought.

Since the movie theater charges a $10.00 group fee and $5.50 per ticket., hence:

Money spent = 5x + 10

The teacher can spend as much as $125.00, hence:

5x + 10 ≤ 125

The equation needed to find the maximum number of students is 5x + 10 ≤ 125

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The largest angle in the pentagon with consecutive even interior angle sizes is 112 degrees.

Let's assume the smallest interior angle of the pentagon is x degrees. Since the angles are consecutive even numbers, the other four angles can be expressed as x + 2, x + 4, x + 6, and x + 8 degrees.

The sum of the interior angles of a pentagon can be calculated using the formula: (n - 2) * 180 degrees, where n is the number of sides of the polygon. For a pentagon, the sum of the interior angles is (5 - 2) * 180 = 3 * 180 = 540 degrees.

Now, let's add up the five angles of the pentagon:

x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 540

Simplifying the equation:

5x + 20 = 540

5x = 540 - 20

5x = 520

x = 520 / 5

x = 104

So, the smallest interior angle, x, is 104 degrees. The largest interior angle is x + 8 = 104 + 8 = 112 degrees.

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Answer:

o.4

Step-by-step explanation:

In the Subgame Perfect Equilibrium of a Stackelberg model, firm 1 chooses a number, and firm 2 chooses a function. Therefore, option (d) is the correct answer.

The Subgame Perfect Equilibrium (SPE) is a solution concept in game theory that analyzes strategic decision-making in sequential games. In a Stackelberg model, firm 1 acts as the leader and sets its output level first, followed by firm 2 as the follower, who observes firm 1's output before making its decision.

In the Subgame Perfect Equilibrium of this model, firm 1 chooses a number (output level) while firm 2 chooses a function (strategy). This implies that firm 1's decision is made independently as a quantity, and firm 2, observing firm 1's choice, formulates its strategy based on that information.

Therefore, option (d) is the correct answer: Firm 1 chooses a number, and firm 2 chooses a function in the Subgame Perfect Equilibrium of a Stackelberg model.

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for the 1st one, is noteworthy that the denominators of 2 and 11 are both prime numbers, meaning the LCD from that is just their product, or namely 22.

\(\stackrel{mixed}{6\frac{1}{2}}\implies \cfrac{6\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{13}{2}} ~\hfill \stackrel{mixed}{3\frac{9}{11}} \implies \cfrac{3\cdot 11+9}{11} \implies \stackrel{improper}{\cfrac{42}{11}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{13}{2}~~ - ~~\cfrac{42}{11}\implies \cfrac{(11)13~~ - ~~(2)42}{\underset{\textit{using this LCD}}{22}}\implies \cfrac{143-84}{22}\implies \cfrac{59}{22}\implies 2\frac{15}{22} \\\\[-0.35em] \rule{34em}{0.25pt}\)

\(\stackrel{mixed}{7\frac{2}{9}}\implies \cfrac{7\cdot 9+2}{9}\implies \stackrel{improper}{\cfrac{65}{9}} ~\hfill \stackrel{mixed}{2\frac{5}{12}} \implies \cfrac{2\cdot 12+5}{12} \implies \stackrel{improper}{\cfrac{29}{12}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{65}{9}~~ - ~~\cfrac{29}{12}\implies \cfrac{(4)65~~ - ~~(3)29}{\underset{\textit{using this LCD}}{36}}\implies \cfrac{260-87}{36}\implies \cfrac{173}{36}\implies 4\frac{29}{36}\)

Answer:

$2,691

Step-by-step explanation:

Interest (I) = Principal x Rate x Time

Total Amount (A) = Interest + Principal

I = 2600(.005)(7)

I = 91

A = 2600 + 91

A = 2691

In one-year, the promised yields have risen to 7%, then the 1-year holding-period return was : (a) 0.61%.

The "Par-value" of the bond (face value) is = $1,000;

Coupon rate = 6% (annual payment coupon)

Yield at purchasing time is = 6%

Yield after 1 year = 7%

Step 1: Calculate the present value of the redeemable value:

We know that PVIF at 7% for 7 years is 0.623,

So, Present value of redeemable value = (Par value) × PVIF = $1,000 × 0.623 = $622.75,

Step 2: Calculate the present value of coupon payments:

Coupon payment = (Coupon rate)×(Par value) = 6% × $1,000 = $60,

We know that PVAF at 7% for 7 years is 5.389,

So, Present value of coupon payments = (Coupon payment) × (PVAF) = $60 × 5.389 = $323.36,

Step 3: Calculate the price of bond after 1 year:

Price of bond = Present value of redeemable value + Present value of coupon payments,

Substituting the values,

We get,

Price of bond = $622.75 + $323.36 = $946.11

Step 4: Calculate the 1-year holding-period return:

Holding return = (Price in next year + Coupon interest - Price in current year) / Price in current year,

Holding return = ($946.11 + $60 - $1,000) / $1,000

Holding return = $6.11 / $1,000

Holding return = 0.00611 = 0.61%.

Therefore, the correct option is (a).

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The given question is incomplete, the complete question is

You buy an 8-year $1,000 par value bond today that has a 6% yield and a 6% annual payment coupon. In 1 year promised yields have risen to 7%. Your 1-year holding-period return was

(a) 0.61%

(b) -5.39%

(c) 1.28%

(d) -3.25%

The combined form 8x + 80 represents the sum of the terms in the expression 8(x+10) after combining like terms.

To combine like terms in the expression 8(x+10), we distribute the 8 to both terms inside the parentheses:

\(8 \times x + 8 \times 10\)

This simplifies to:

8x + 80

The expression 8x + 80 is the combined form of 8(x+10), where the like terms (8x and 80) are added together.

The term 8x represents 8 times the variable x, while 80 is a constant term.

addition of these terms results in the simplified expression.

In this case, the coefficient 8 is applied to the variable x, indicating that the value of x is multiplied by 8.

The term 80 is a constant value that remains the same regardless of the value of x.

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Answer: $8000

Step-by-step explanation:

Let the minimum amount that she needs to sell in order to earn $600 be x.

Therefore, 7.5% of x = $600

7.5% × x = $600

0.075 × x = $600

0.075x = $600

x = $600 / 0.075

x = $8000

The minimum amount she needs to sell will be $8000.

For two events A and B, if A and B are disjoint, and P(A)=0.1, P(B)-0.5, then P(AUB) = For two disjoint events A and B, the probability of either of them occurring is equal to the sum of the probability of each individual event happening.

The probability of the union of events A and B, denoted as A U B, is given as :P(A U B) = P(A) + P(B)Now, substituting the given values:P(A U B) = 0.1 + 0.5= 0.6Thus, the probability of A U B is 0.6.2. X be a variable with the expected value E(X) = μ and the variance V(X) = 0², if Y = 5x + 3, then E(Y) = E.

Now, given that the expected value of X is μ, and variance is 0, the probability distribution is such that all outcomes have the same probability, and that probability is 1. This means that the outcome is fixed and equal to μ. We can write this as :P(X = μ) = 1Using the linearity property of expectation, we have :E(Y) = E(5X + 3)Expanding the expression :E(Y) = 5E(X) + E(3)E(X) = μ, since we have a probability distribution where all outcomes have the same probability, and that probability is 1. Thus :E(Y) = 5μ + 3Thus, the expected value of Y is 5μ + 3.

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A conclusion about the value of a population parameter based on information from the corresponding sample statistics and the associated the associated probability distributions.

Statistical inference is the process of making conclusions or inferences about the characteristics of a population based on information obtained from a sample.

It involves using statistical techniques to draw generalizations or estimates about population parameters using sample data.

A conclusion about the value of a population parameter based on information from the corresponding sample statistics and the associated the associated probability distributions.

Statistical inference involves two main components:

1. Estimation: Estimation involves using sample data to estimate or approximate the value of a population parameter.

2. Hypothesis Testing: Hypothesis testing is used to make decisions or draw conclusions about the population based on sample data.

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Answer:

1. 6

2. 8

3. 80

4. 11

5. 60

6. 3

7. 30

8. 0.8

9. 5

10. 600

11. 150

12. 110

13. 15

14. 1.1

15. 36

Hope it helps

Answer:

2000

Step-by-step explanation:

Salim will need to get 2000 clicks in order to get $50 per month or more.

First: 5 cents goes into one dollar 20 times.

Second: You multiply 20 times 50. This is how you get 2000. There is your answer.

Salim needs at least 700 clicks per month  in order to earn $50 per month or more

A linear equation is in the form:

y = mx + b;

where y, x is variable, m is the rate of change and b is the y intercept.

Let y represent the total pay Salim earns and x represent the number of clicks.

Salim's Website earns $15 per month plus $0.05 every time a visitor clicks, hence:

y = 0.05x + 15

To earn for than $50 per month:

0.05x + 15 > 50

0.05x > 35

x > 700

Salim needs at least 700 clicks per month  in order to earn $50 per month or more

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Answer:

12.4 yd

Step-by-step explanation:

We use the Pythagorean Theorem

a² + b² = c²

Let's solve

3² + 12² = c²

9 + 144 = c²

153 = c²

c = 12.4 yd

Answer:

The missing side length of the given right triangle is 12.4 yd to the nearest tenth.

Step-by-step explanation:

Pythagoras Theorem explains the relationship between the three sides of a right triangle. The square of the hypotenuse (longest side) is equal to the sum of the squares of the legs of a right triangle.

\(\boxed{a^2+b^2=c^2}\)

where:

As we have been given the lengths of both legs of the right triangle, we can use Pythagoras Theorem to calculate the length of the hypotenuse.

Substitute a = 3 and b = 12 into the formula and solve for c:

\(\implies 3^2+12^2=c^2\)

\(\implies 9+144=c^2\)

\(\implies 153=c^2\)

\(\implies c=\sqrt{153}\)

\(\implies c=12.3693168...\)

\(\implies c=12.4\; \sf yd\;(nearest\;tenth)\)

Therefore, the missing side length of the given right triangle is 12.4 yd to the nearest tenth.

Answer:

x = 2, y = 3

Step-by-step explanation:

Given the 2 equations

3x + 4y = 18 → (1)

5x + 6y = 28 → (2)

Multiplying (1) by 5 and (2) by - 3 , then adding will eliminate the term in x

15x + 20y = 90 → (3)

- 15x - 18y = - 84 → (4)

Add (3) and (4) term by term to eliminate x

2y = 6 ( divide both sides by 2 )

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting into (1)

3x + 4(3) = 18

3x + 12 = 18 ( subtract 12 from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

Solution is (2, 3 )

Michael needs to analyze the population data, demographics of the city, and the competition in the area to determine whether or not to open a new store.

Michael is trying to determine where to open two new store locations. He has population data to determine the amount of revenue he will receive for each location.

He is charged a $1000 fee for opening a new store at a certain location. However, he is unsure whether the population of the city would be large enough to warrant opening a new store at that location.

The first step that Michael needs to take is to analyze the population data that he has.

Based on the population data, he needs to make an informed decision about whether or not to open a new store at that location. This would require him to take into consideration the average income of the population as well as the demographics of the city.

Another important factor that Michael needs to take into consideration is the competition in the area. If there are already several stores in the area, then opening a new store might not be a good idea.

This is because the competition would be too high and he would not be able to generate enough revenue to make up for the cost of opening a new store.

However, if there are no stores in the area, then Michael might consider opening a new store. This would require him to invest a significant amount of money, but he could also generate a significant amount of revenue in return.

Additionally, he needs to take into consideration the cost of opening a new store and whether or not he can generate enough revenue to make up for that cost.

Overall, Michael needs to carefully analyze all the data that he has before making an informed decision about where to open new store locations.

In conclusion, Michael needs to analyze the population data, demographics of the city, and the competition in the area to determine whether or not to open a new store. If the population is large enough and there is no competition in the area, then he should consider opening a new store. However, if there is already a significant amount of competition in the area, then he should avoid opening a new store.

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Answer:

124

Step-by-step explanation: