12 kilometers and the distance between the courthouse and the city pool is 15 kilometers, how far is the library from the community pool?

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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By using the concept of vector, it can be calculated that

Component form of vector v = (-4 , 5)

What is a vector?

Vector is anything that has magnitude and direction and follow the vector addition law. Vector is a very important tool in mathematics and physics.

Here,

The initial point of vector v is (1, -4) and the terminal point of vector v is      (-3, 1)

Component form of vector v = (-3 - 1, 1 - (-4)) = (-4 , 5)

Second option is correct

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Answer:

Number of fish in 2006 = 845 fishes (Approx.)

Step-by-step explanation:

Given;

Number of fish in 2000 = 1,150 fishes

Decreasing rate = 5% per year

Find:

Number of fish in 2006

Computation:

Exponential decay function:

F = P[1-r]ⁿ

Number of year = 2006 - 2000

Number of year =  6 year

Number of fish in 2006 = 1,150[1-5%]⁶

Number of fish in 2006 = 1,150[1-0.05]⁶

Number of fish in 2006 = 1,150[0.95]⁶

Number of fish in 2006 = 1,150[0.735]

Number of fish in 2006 = 845.25

Number of fish in 2006 = 845 fishes (Approx.)

The length and width of a rectangle are 36cm and 4.5cm

Finding the Width:

The formula to find the perimeter of the rectangle is:

P=2(l+w),

where P is the perimeter, l be the length, and w be the width.

Now substitute the given values to solve for w, since we need to find the width.

The given information is:

the length of a rectangle is six inches more than eight times the width so the equation becomes:

L=8w+6

P=120

w=8w

now plug the values in the above formula:

P=2(l+w),

120=2(8w+6)+8w

120=16w+12+8w

120=24w+12

24w=108

w=4.5

To find the length just substitute in the L.

L=8(4.5)+6

L=30+6

L=36

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the diameter is multiple by two of the radius

Answer:

1 1/4 liters of paint

Step-by-step explanation:

Clare is painting some doors that are all the same size. She used 2 liters of paint to cover 1LaTeX: \frac{3}{5}3 5 doors. How many liters of paint are needed for 1 door?

From the above question, we can deduce that:

2 liters of paint covers 1 3/5 doors

Hence:

1 3/5 doors = 2 liters of paint

1 door = x liters of paint

Cross Multiply

1 3/5 doors × x liters = 2 liters × 1 door

x liters = 2 liters × 1 door/ 1 3/5 doors

x liters = 2 ÷ 1 3/5

x liters = 2 ÷ 8/5

x liters = 2 × 5/8

x liters = 5/4 liters

x liters = 1 1/4 liters of paint

Hence: 1 1/4 liters of paint is needed for 1 door

Answer:

\(x = 180 - \frac{y}{2}\)

Step-by-step explanation:

Our goal here is to isolate \(x\) on one side of the equals sign

\(360 = 2x + y\)

Here we have 2 terms on the right side of the equals sign, \(2x\) and \(y\)

in order isolate the \(x\) term we must subtract \(y\)

However, if we subtract \(y\) from one side of the equation we must also do the same to the other side to a maintain balanced equation.

\(360 = 2x + y\)
\(-y\)           \(-y\)

\(360 - y = 2x\)

Now to remove "2" from \(2x\) we must do the opposite of multiplication, which is division.

\(\frac{360}{2} - \frac{y}{2} = \frac{2x}{2}\)

simplify.

\(180 - \frac{y}{2} = x\)

The average difference between the actual wait time and the guess of the same wait time as the previous one is approximately  5.5 minutes.

1. Calculate the difference between each wait time and the previous wait time:

Wait Time 1 - 0 = 0

Wait Time 2 - Wait Time 1 = 8.2 minutes

Wait Time 3 - Wait Time 2 = 4.3 minutes

Wait Time 4 - Wait Time 3 = 5.1 minutes

Wait Time 5 - Wait Time 4 = 6.5 minutes

2. Calculate the average of the differences:

Average Difference = (8.2 + 4.3 + 5.1 + 6.5) / 4 = 5.5 minutes

The average difference between the actual wait time and the guess of the same wait time as the previous one is approximately 4.5 minutes. This means that, on average, if you guess that each wait time will be the same as the previous wait time, it will be 4.5 minutes off from the actual wait time. To calculate this, we compared each wait time, except for the first one, to the previous wait time, and then calculated the average difference between the two. We found that the average difference was  5.5 minutes. This suggests that, if you guess that the wait time will be the same as the previous one, you can expect to be, on average,  5.5 minutes off from the actual time.

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The complete question is

f instead you guess that each waiting time will be the same as the previous waiting time, how many minutes would your guess differ from the actual time, averaging over every wait time except the first one an find average minutes?

Answer: 8 I’m order to meet goal

Step-by-step explanation: 25-9=16 16-8=8

Step-by-step explanation:

fair coin is two sided Head H and Tail T

thrown 3 times

number of sample space n(s)=2³=>8

sample space (s)={HHH,HHT,HTH,HTT,THH,TTH,THT,TTT}

no of a head and two tails= 3/8

Answer:

0.5     :)

Step-by-step explanation:

bc it's 0.5 I answered the question

The required, constant of proportionality between the two columns is 0.5. Option a is correct.

Proportionality is the relationship between two or more sets of values, and it describes how these values are related to each other. This relationship can be either direct or inverse, depending on whether the values increase or decrease together, or one value increases while the other decreases.

Here,
To find the constant of proportionality between the two columns, we need to see how much column 2 (y) changes for a one-unit increase in column 1 (x).

From the given data, we can see that when x increases from 2 to 3, y increases from 1 to 1.5. This is an increase of 0.5 in y for a one-unit increase in x.

Similarly, when x increases from 3 to 4, y increases from 1.5 to 2. This is an increase of 0.5 in y for a one-unit increase in x.

When x increases from 4 to 5, y increases from 2 to 2.5. This is an increase of 0.5 in y for a one-unit increase in x.

Since the change in y for a one-unit increase in x is the same (0.5) in each case, we can conclude that the constant of proportionality between the two columns is 0.5.

Therefore, the answer is 0.5.

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Answer:

To make "p" the subject of the formula "q = p/2-5", we can follow these steps:

1. Multiply both sides by 2: 2q = p - 10

2. Add 10 to both sides: 2q + 10 = p

Therefore, the final answer is: p = 2q + 10

Step-by-step explanation:

Answer:

p= 2Q-5

Step-by-step explanation:

Q= \(\frac{p}{2}\)-5

2Q= p-5 (cross multiplication)

p= 2Q+5 (shift the -5 to the other side hence it becomes +5)

Before we continue, note that "percent increase from 43 to 78" is the same as "the percentage increase from 43 to 78". Furthermore, we will refer to 43 as the initial value and 78 as the final value.

So what exactly are we calculating? The initial value is 43, and then a percent is used to increase the initial value to the final value of 78. We want to calculate what that percent is!

Here are step-by-step instructions showing you how to calculate the percent increase from 43 to 78.

First, we calculate the amount of increase from 43 to 78 by subtracting the initial value from the final value, like this:

78 - 43

= 35

To calculate the percent of any number, you multiply the value (n) by the percent (p) and then divide the product by 100 to get the answer, like this:

(n × p) / 100 = Answer

In our case, we know that the initial value (n) is 43 and that the answer (amount of increase) is 35 to get the final value of 78. Therefore, we fill in what we know in the equation above to get the following equation:

(43 × p) / 100 = 35

Next, we solve the equation above for percent (p) by first multiplying each side by 100 and then dividing both sides by 43 to get percent (p):

(43 × p) / 100 = 35

((43 × p) / 100) × 100 = 35 × 100

43p = 3500

43p / 43 = 3500 / 43

p = 81.3953488372093

Percent Increase ≈ 81.3953

That's all there is to it! The percentage increase from 43 to 78 is 81.3953%. In other words, if you take 81.3953% of 43 and add it to 43, then the sum will be 78.

The step-by-step instructions above were made so we could clearly explain exactly what a percent increase from 43 to 78 means. For future reference, you can use the following percent increase formula to calculate percent increases:

((f - n)/n) × 100 = p

f = Final Value

n = Initial Value

p = Percent Increase

Once again, here is the math and the answer to calculate the percent increase from 43 to 78 using the percent increase formula above:

((f - n)/n) × 100

= ((78 - 43)/43) × 100

= (35/43) × 100

= 0.813953488372093 × 100

≈ 81.3953

The formal education levels of the sample differ significantly from the formal education levels of the surrounding community, the sample is not representative of the surrounding community.

In statistics, the t-test is a hypothesis testing approach that determines whether there is a significant difference between the mean values of two groups. T-test is conducted to determine the difference between two group means, and it is done through comparing the p-value to the significance level. Here, the t-test is used to compare the average formal education levels of people attending a professional football game and the surrounding community.The difference between the formal education levels of the people attending the game and the surrounding community is significant at the .05 level.

Hence, we can say that the formal education levels of the people attending the game significantly differ from the surrounding community at a .05 level of significance. Furthermore, since the p-value is less than the significance level, we can reject the null hypothesis.

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Answer:

Step-by-step explanation:

5x + 2 + 2x + 10 = 180

7x + 12 = 180

7x = 168

x = 24

5(24) + 2 = 120 + 2 = 122

2(24)+ 10 = 48 + 10 = 58

Answer:

280 calories

Step-by-step explanation:

60 minutes in an hour

60/15 = 4

70 × 4 = 280

280 calories

Answer:

280 calories.

Step-by-step explanation:

15x4=60. There are 60 minutes in one hour. Therefore, by multiplying the amount of calories burned by 4, you get the answer of 280.

Answer:

D

Step-by-step explanation:

Dilating something makes it become bigger. Leading to a larger area and perimeter

Answer: So,

If we add them together, we get

5 + 3 + 4 + 1 = 13

Since there are 4 blue chips, the probability would be 4 out of the total number of chips, or 4/13.

Step-by-step explanation: Hope this helps! <3

G(f(10))

First solve f(x) by replacing x with 10:

F(x) = x-4 = 10-4 = 6

Now replace x in g(x) with 6

G(x) = 6-x = 6-6 = 0

So g(f(10)) = 0

Answer:

I this a question of some sort?

a) Depositing $1,000 in an account at the Lifelong Trust Savings and Loan that pays 3% interest compounded quarterly will grow by $270.11  after 8 years.

b) If you want to buy a 6 year bond with a maturity value of $7,000, and you wish to get a return of 5.5% annually, you will pay a present value of $5,076.72 now.

c) The worth of the investment in Gold growing by 9% per year and CDs yielding 6% per year, compounded every 6 months, with the $10,000 winnings will be $28,148.28 in 14 years.

The present value is computed by discounting the future value at an interest rate while the future value is computing by compounding the presenet value at an interest rate.

Both the present value and the future value can be computed using an online finance calculator as follows:

a) Lifelong Trust Savings and Loan:

N (# of periods) = 32 quarters (8 years x 4)

I/Y (Interest per year) = 3%

PV (Present Value) = $1,000

PMT (Periodic Payment) = $0

Results:

FV = $1,270.11

Total Interest (Growth)= $270.11

b) Bond:

N (# of periods) = 6 years

I/Y (Interest per year) = 5.5%

PMT (Periodic Payment) = $0

FV (Future Value) = $7,000

Results:

Present Value (PV) = $5,076.72

Total Interest = $1,923.28

c) $10,000 Lottery Winnings:

i) Investment in Gold:

N (# of periods) = 14 years

I/Y (Interest per year) = 9%

PV (Present Value) = $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $16,708.64

Total Interest = $11,708.64

ii) Investment in CDs:

N (# of periods) = 28 semi-annual periods (14 years x 2)

I/Y (Interest per year) = 6%

PV (Present Value) = $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $11,439.64

Total Interest = $6,439.64

Woth of Investments in Gold and CDs = $28,148.28 ($16,708.64 + $11,439.64)

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Answer:

probably square

Step-by-step explanation:

all units are equally seperated by 2 units so id say probably a square

Answer:

The square root of 2 is 1.41421

Answer:

The square root of 2 is 1.414

Answer:

B

Step-by-step explanation:

Answer:

The answer is B because of the graph being 1/2

Hello there!

If a line has a slope of 3 and a y-intercept of 4, its equation looks like this:

\(y=3x+4\)

Hope this helps you! Mark Brainliest, please! :)

~Just a joyful teen

\(SilentNature\)

Answer:

y = 3x + 4

Step-by-step explanation:

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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Answer: 65-26=39

Step-by-step explanation: because when we have a portion of the apples that are green and the other is not the word problem indicates subraction and since we have both units of the expression already given we get a answer of 39 apples that were not green

The period of the Markov chain is 2.

The period of this Markov chain is determined by the number of times you have to go through the probability transition matrix before you return to the same state. The period for this Markov chain is 2, as you can see from the probability transition matrix below:

 P(i,j)   State 0   State 1    State 0   0.5   0.5    State 1   0.3   0.7  


Starting from State 0, the probability of transitioning to State 0 is 0.5, and the probability of transitioning to State 1 is 0.5. If we start from State 1, the probability of transitioning back to State 0 is 0.3, and the probability of transitioning back to State 1 is 0.7.

Therefore, it takes two steps for the chain to return to its original state and the period of this Markov chain is 2.

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Of these three examples, height and weight are more likely to be normally distributed.

What is continuous variable ?

A continuous variable is a type of quantitative variable that can take on any value within a certain range. Continuous variables can be measured to any degree of precision, meaning they can be broken down into smaller and smaller increments.

Three real-life examples of a continuous variable are:

Height: Height is a continuous variable that can take any value within a certain range. It can be measured to any degree of precision, making it a continuous variable.

Time: Time is another continuous variable that can be measured to any degree of precision, from milliseconds to years.

Weight: Weight is also a continuous variable that can take any value within a certain range. It can be measured to any degree of precision, making it a continuous variable.

This is because these variables tend to follow a bell-shaped curve when plotted, with most values clustering around the mean and fewer values appearing further away from the mean. Time, on the other hand, may not be normally distributed because it can have different distributions depending on the situation, such as a bimodal distribution for the time of day people go to sleep or wake up. However, it's important to note that the normal distribution is just one of many possible distributions for continuous variables and may not always be the most appropriate or accurate for real-life situations.

Therefore, Of these three examples, height and weight are more likely to be normally distributed.

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