The semi-circle has a diameter of 8. What is the perimeter of the semi-circle?​

The given expressions, when A=1, B=0, and C=1, X evaluates to 1.001; when A=B=C=1, X evaluates to 1.111; and when A=B=C=0, X evaluates to 0.000. These evaluations are based on the given values of A, B, and C, and the notation ¯¯¯¯¯¯BC represents the complement of BC.

To evaluate the expression X = A.¯¯¯¯¯¯BC, we substitute the given values of A, B, and C into the expression.

(a) For A = 1, B = 0, and C = 1:

X = 1.¯¯¯¯¯¯01

To find the complement of BC, we replace B = 0 and C = 1 with their complements:

X = 1.¯¯¯¯¯¯01 = 1.¯¯¯¯¯¯00 = 1.001

(b) For A = B = C = 1:

X = 1.¯¯¯¯¯¯11

Similarly, we find the complement of BC by replacing B = 1 and C = 1 with their complements:

X = 1.¯¯¯¯¯¯11 = 1.¯¯¯¯¯¯00 = 1.111

(c) For A = B = C = 0:

X = 0.¯¯¯¯¯¯00

Again, we find the complement of BC by replacing B = 0 and C = 0 with their complements:

X = 0.¯¯¯¯¯¯00 = 0.¯¯¯¯¯¯11 = 0.000

In conclusion, when A = 1, B = 0, and C = 1, X evaluates to 1.001. When A = B = C = 1, X evaluates to 1.111. And when A = B = C = 0, X evaluates to 0.000. The evaluation of X is based on substituting the given values into the expression A.¯¯¯¯¯¯BC and finding the complement of BC in each case.

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The translated equation would be: (x - 2)² + (y - 4)² = 25

To translate the equation x² + y² = 25 right 2 units and down 4 units, we need to adjust the coordinates of the equation.

First, let's break down the translation process. Moving right 2 units means we need to subtract 2 from the x-coordinate of every point on the graph. Moving down 4 units means we need to subtract 4 from the y-coordinate of every point on the graph.

The translated equation would be: (x - 2)² + (y - 4)² = 25

In this equation, the x-coordinate has been shifted 2 units to the right, and the y-coordinate has been shifted 4 units down.

The overall effect is a translation of the original graph to the right and downward by the specified amounts.

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If p > 5 is prime and p is divided by 10, then the remainders are 1, 3, 7, or 9

The given information, we know that p is a prime number greater than 5, and that p is divided by 10. This means that p must end in either 0 or 5. since those are the only digits that allow for a number to be divisible by 10.

However, we also know that p is prime, which means it cannot be divisible by any number other than 1 and itself. This rules out the possibility of p ending in 0. since any number ending in 0 is divisible by 10 (and therefore not prime).

Therefore, p must end in 5. This means that p can be written in the form:

p = 10n + 5

where n is some integer. Now, let's consider what happens when we divide p by 10:

p/10 = (10n + 5)/10 = n + 0.5

Since p/10 is not an integer (it has a decimal component of 0.5), we know that p cannot be evenly divided by 10. Therefore, when p is divided by 10, there must be a remainder.

To determine what possible remainders there could be, we can look at the possible values for the last digit of p. Since p ends in 5, the last digit can only be 1, 3, 7, or 9 (since these are the only digits that, when multiplied by 5 and added to 10n, result in a number ending in 5).

Therefore, if p > 5 is prime and p is divided by 10, the remainder must be either 1, 3, 7, or 9.

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The number 24.5 in Roman numerals is XXIV. The Roman numeral system is a numeral system that originated in ancient Rome and was used in the Roman Empire and Europe until the 14th century.

It is a numeric system that uses specific letters from the alphabet to represent different numbers.To express decimal numbers in Roman numerals, a vinculum is used.

This is a horizontal line placed above the letters that represent the number being multiplied by 1000.

Therefore, to convert 24.5 into Roman numerals, we separate 24 into two parts:

20 and 4.5. 20 is represented by XX, while 4.5 is represented by the half symbol s, which is indicated by placing a horizontal line above the previous number.

Thus, 24.5 is represented as XXIVSs. Note that the use of the half symbol (s) is not universal in Roman numerals, and there are different ways to express decimal numbers in Roman numerals.

However, the use of the vinculum is one of the most common ways to represent decimal numbers in this numeral system.

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We will have a Deficit balance of $30 at the end of the month.

"Unilateral transfer" is the term used to describe the balance of payments deficit's most obvious cause. For instance, Americans who contribute money to another country in the form of foreign aid do not receive anything in return (economically speaking). Few economists would argue that foreign aid-related balance of payment deficits are a "bad thing."

Weekly net income = $380

Monthly net income = $380 * 4 weeks = $1520.

Monthly expenses = $1550

Balance = Monthly income - monthly expenses = $-30.

The negative sign shows a deficit of $30 monthly

Therefore, We will have a Deficit balance of $30 at the end of the month.

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The average waiting time in the queue will decrease, and the average server utilization will increase as a result of implementing this change.

Solution:

We know that; Utilization factor = ρ = λ/μ where λ is the arrival rate, μ is the service rate.1. Calculation of Utilization factor Before Change:

Given, Customers arrive at an average rate of one every 30 seconds.Thus, λ = 1/30 per second = 0.0333 per second.

Current service time has averaged 25 seconds with a standard deviation of 20 seconds.

Thus, μ = 1/25 per second = 0.04 per second.So, ρ = λ/μ = 0.0333/0.04 = 0.833

After Change:

Given, Customers arrive at an average rate of one every 30 seconds.Thus, λ = 1/30 per second = 0.0333 per second. A suggested process change has been tested and shown to change service time to an average of 27 seconds with a standard deviation of 10 seconds.

Thus, μ = 1/27 per second = 0.0370 per second.So, ρ = λ/μ = 0.0333/0.0370 = 0.8998 2. Calculation of average waiting time in the queue (Wq)

Before Change:

Average waiting time in the queue, Wq= (ρ²+ρ)/2*(1-ρ) * (1/λ) * (1/μ- λ)Given, ρ = 0.833; λ = 0.0333; μ = 0.04

Therefore, Wq= (0.833²+0.833)/2*(1-0.833) * (1/0.0333) * (1/0.04- 0.0333)= 4.882

After Change:

Given, ρ = 0.8998; λ = 0.0333; μ = 0.0370

Therefore, Wq= (0.8998²+0.8998)/2*(1-0.8998) * (1/0.0333) * (1/0.0370- 0.0333)= 3.554

Thus, the average waiting time in the queue (Wq) will decrease.

3. Calculation of average server utilization before Change:

Given, ρ = 0.833

Thus, the average server utilization is 83.3%

After Change:

Given, ρ = 0.8998

Thus, the average server utilization is 89.98%

Therefore, the average server utilization will increase.

Hence, the average waiting time in the queue will decrease, and the average server utilization will increase as a result of implementing this change.

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The discount factor for today's prices, given a 9% annual housing value increase, is approximately 0.4161.

To determine the discount factor for today's prices, considering an annual housing value increase of 9%, we need to calculate the present value of the future housing price.

The discount factor can be obtained using the formula:

Discount factor = 1 / (1 + r)^n,

where r is the annual interest rate and n is the number of years.

In this case, the interest rate (annual housing value increase) is 9% or 0.09, and the time period is 32 - 18 = 14 years (from when Wendy is 18 to when she is 32).

Substituting the values into the formula, we have:

Discount factor = 1 / (1 + 0.09)^14.

Calculating the expression, the discount factor for today's prices is approximately 0.4161.

Therefore, the discount factor for today's prices, given a 9% annual housing value increase, is approximately 0.4161.

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I know you don't need this anymore but for the ones who do this is the answer.........Look at the graph and trust it. Yes, I know it says to substitute and you can following the last page on part a) Doing what they do in the tables and it will get you the same answer as if you'd just look at the graph.

The answer for the y- value at x=p IS 8. and the answer for the y-value at x=p+k IS 5. So go ahead and write that down if you haven't already!

For step2 Find the difference between the endpoints of the interval on the y-axis. The answer to your question, Is and always will be 3! The difference is 3 because you subtract 3 from 8 and you get 5.

If you didn't read clearer, I'll write it for you again, The length interval is K, it is the length between p and p+k.

For the following questions, does your answer to step 2 depend on p, well I suppose. This is why....The answer does depend on p because we are dealing with a slope. if you move up or down the slope it will not be the same.

For the question..... Is the difference between the y-values the same regardless of where the interval starts? The answer is yes!!! And No!!! But WRITE YES! Why? Because if the interval moves as a whole the difference between the y-values is the same! Try it for yourself. Move K back two x-values and the difference for the y-values will be the same, IT WILL STILL BE THREE.

Hope you understood!

And for part one the answer on part c (-2). It depends on K.

The 99% confidence limit will be option B which is (45, 55)

90% confidence limits for the population mean are (46,54)

mean = 46+54 / 2 = 50.

the margin of error E = 54-46/2 = 4

For 90% Confidence Z- Critical value is = 1.645

But the margin of error

E = ZS/√n

4=(1.645)S/√n

S/√n = 4 / 1.645

= 2.4316

For 95% confidence Z-critical value is 1.96

A 95% confidence interval is = mean ± E

(50 ± 1.96) S/√n = (50 ± 1.96)×2.4316

= 50+ 4.7660

= 45.2340, 54.7660

= (45, 55)

Hence the correct option is B which is (45, 55) as the 99% confidence limit.

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Answer:

92.86%

Step-by-step explanation:

Total questions, T = 50.

Colin thought 8 questions were right.

Colin got 5 questions right that he thought he got wrong.

Total score, s = 45.

So, actual number of questions which are wrong are 5.

Score according to him = 50 - 8 = 42.

Therefore, percentage accuracy he had with predicting his scores is 92.86%.  

Answer:

it may be 115 if its a quadrilateral

Answer:

D,xy=-12

Step-by-step explanation:

y=x²+x-2

x+y=1

or x+x²+x-2=1

x²+2x-3=0

x²+3x-x-3=0

x(x+3)-1(x+3)=0

(x+3)(x-1)=0

either x=-3

or x=1

when x=-3

x+y=1

-3+y=1

y=1+3=4

one solution is (-3,4)

xy=-3×4=-12

if x=1

1+y=1

y=0

second solution is (1,0)

xy=1×0=0

Answer:

This is a function

Step-by-step explanation:

For every x value, there is at most one y value, so it can be expressed as a function.

Answer:

70

Step-by-step explanation:

Let the no of books bought be x

The cost price of 1 book is 5x

No of the missing book is 15

The remaining book is x-15

The selling price of 1 book is 87

Selling price of (x-15) book is 87

Hence the number of books can be calculated as follows

8(x-15)-5x= 90

8x-120-5x= 90

8x-5x= 90+120

3x= 210

x= 210/3

= 70

Hence the number of books bought is 70

Answer:

5 gallons is 1/10 of 50 gallons; this is 10%

30 gallons is 30/50 or 60%

45 gallons is 45/50 or 90%

100 gallons is  200%

Step-by-step explanation:

There is no general rule for the sequence as this is neither an arithmetic sequence nor a quadratic sequence.

If this is an arithmetic sequence, then there would be a constant difference between the consecutive terms.

Difference between term 2 and term 1 : 5 - 2 = 3

Difference between term 3 and term 2 : 7 - 5 = 2

Difference between term 4 and term 3 : 11 - 7 = 4

This is therefore not an arithmetic sequence.

We can check to see if it is quadratic with the second difference :

Difference between the second and first differences: 2 - 3 = -1

Difference between the third and second differences: 4 - 2 = 2

These are still not constant which means that there is no general rule given the terms.

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

pyramid side:

h = 3.25 ft

b = 2.5 ft

square base:

s = 2.5 ft

gallon of gold paint:

400 ft²

Step 02:

surface area:

square base area:

A = s² = (2.5 ft)² = 6.25 ft²

total pyramid sides area:

A = (b * h) / 2

A = (2.5 ft * 3.25 ft) / 2 = 4.0625 ft²

total pyramid sides area = 4 * 4.0625 ft² = 16.25 ft²

total trophy area:

total trophy area = 6.25 ft² + 16.25 ft² = 22.5 ft²

maximum number of trophies:

maximum number of trophies = 400 ft² / 22.5 ft² = 17.78

The answer is:

square base area = 6.25 ft²

pyramid side area = 4.0625 ft²

total pyramid sides area = 16.25 ft²

total trophy area = 22.5 ft²

maximum number of trophies = 17

Answer:

396237 / Estimation would be 396000 I believe.

Step-by-step explanation

Answer:

396000

Step-by-step explanation:

The ratio of the circumferences of the bases of the two cylinders is; 25

Formula for lateral surface area of a cylinder is;

LSA = 2πrh

Thus,for first cylinder;

2πrh = 6π

Thus;

rh = 3 - - - - (eq 1)

Similarly;

2πr2h = 150π

r2h = 75 - - - (eq 2)

Divide eq 2 by eq 1 to get;

r2/r = 75/3

r2/r = 25

r2 = 25r

Thus;

Circumference of base of bigger cylinder = 2π(25r) = 50πr

Circumference of smaller cylinder = 2πr

Thus;

Ratio = 50πr/2πr

Ratio = 25

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a) Median will be an appropriate measure for the distribution. b) Mean will be an approprate measure for the distribution.

Here we already have the data available to us. From the data, we can clearly see that

Mode < Mean < Median

Hence this is a negatively skewed distribution.

Therefore the appropriate measure of central tendency for this distribution will be the median. The median will tell us the point at which the frequency is divided by 50%.

Hence we can say that the median will a more appropriate measure.

Now if the data has another aspect of sex included, then the frequency column would be divided into separate columns with each gender identity taking up its own column.

Since now this will become multivariate data, the best measure of central tendency will be Mean.

The difference in the measure of central tendency will depend upon how skewed the data for every sex will be. For example, if in a country, men preferred to be educated over women, then the mean for men will be a lot higher than that of women. On the other hand, the EDUC for women will be a lot lower.

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Answer:

I'm notsure what you mean

Answer:

\(\frac{3}{10}\)

Step-by-step explanation:

Divide the number of red sweets by the total number of all sweets.

\(\frac{3}{3+3+4} = \frac{3}{10}\)

Answer:

21, 7.5, -6

Step-by-step explanation:

Think of domain as x and range as y

okay so basically sense your range is (-6, 3, 12) and your function is

f(x) = -2/3x + 8

your domain values would be

21

7.5

-6

I suggest using desmos, it's very helpful, hope this helps

Answer:

The domain is all real numbers

The y - intercept is 2

The function is decreasing over its entire domain

The converse of p→q, "If 77 is odd, then 77 is prime," is a false statement.

The proposition p→q, in English, is "If 77 is prime, then 77 is odd." The converse of p→q is q→p, which can be expressed as "If 77 is odd, then 77 is prime."

To determine whether this converse is true or false, let's first examine the truth values of the propositions p and q:

p: "77 is prime" - This statement is false, as 77 is not prime (it has factors 1, 7, 11, and 77).

q: "77 is odd" - This statement is true, as 77 is not divisible by 2.

Now, let's evaluate the truth value of the converse q→p:

q→p: "If 77 is odd, then 77 is prime" - Since the premise (q) is true and the conclusion (p) is false, the overall statement q→p is false. A conditional statement is only true when the premise being true leads to the conclusion being true. In this case, the fact that 77 is odd does not imply that it is prime.

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Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

The value of the function is given by the relation

f ( x = -10 ) = -19

f ( 2 ) = 4

f ( -5 ) = 25

f ( -1 ) = 1

f ( 8 ) = -5

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = { 2x + 1    when x ≤ 5

             x²          when -5 ≤ x ≤ 5

             3 - x      when x ≥ 5   }

Now , the value of the function is given by

when x = -10

f ( -10 ) = 2 ( -10 ) + 1

f ( -10 ) = -19

f ( 2 ) = 2²

f ( 2 ) = 4

f ( -5 ) = ( -5 )²

f ( -5 ) = 25

f ( -1 ) = ( -1 )²

f ( -1 ) = 1

f ( 8 ) = 3 - 8

f ( 8 ) = -5

Hence , the function is solved

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