Which statements are true? Select the five correct answers.

O √1.8 1
O √1.8 2
O √1.9 - √1.8 > 0.1

Answer:

-2b - 7/2

Step-by-step explanation:

solve for e: -4b+1=8+2e

-4b + 1 = 8 + 2e

-4b + 1 -8 = 2e

-4b - 7 = 2e

-2b - 7/2 = e

Answer:

Step-by-step explanation: This week, I had a question in math class about the different types of angles, such as alternate interior angles theorem, alternate exterior angles, same-side interior angles, same-side exterior angles, corresponding angles, concurrent lines, perpendicular lines, and a few more types of angles about lines and knowing what matches to what type of angle. Yes, I did ask a few questions when I was confused about certain lines and how they have this angle, such as a concurrent line. Yes, my question was answered. I actually enjoy asking questions because if I don't learn what I'm confused about, how will I know how to improve and avoid making the same mistakes? Yes, I had someone else ask the same question I had before, whether it was something new learned in class or something confusing or difficult to learn. It made me feel relieved and grateful because I'm glad I wasn't the only one who was confused, and it makes it easier when someone else doesn't understand the same step, and challenges when learning new things. The questions we ask lead to new discoveries. Questions lead us to answers we never considered before we asked the question. Of course, one cannot simply ask question after question without considering possible answers. Many people, on the other hand, are afraid that by asking questions, they will appear weak, ignorant, or unsure. They are afraid that asking questions will place them in a negative light. Lastly, some people are so eager to get things done that they don't stop to ask questions because it might slow them down.

Answer:

Step-by-step explanation:

i think its  C? dont take my word for it

Answer:

6.4 packs (7 as integer)

Step-by-step explanation:

Area of the square: 8^2 = 64 m^2

64 : 10 = 6.4

Hannah's debt-to-equity ratio when her liabilities was $30,000 (excluding her mortgage of $100,000 ) and her net worth is $45,000 is 0.75.

Debt-to-equity ratio is a financial ratio that measures the proportion of total liabilities to shareholders' equity. To calculate the debt-to-equity ratio for Hannah, we need to first calculate her total liabilities and shareholders' equity.

We are given that Hannah has liabilities of $30,000 excluding her mortgage of $100,000. Therefore, her total liabilities are $30,000 + $100,000 = $130,000.

We are also given that her net worth is $45,000. The net worth is calculated by subtracting the total liabilities from the total assets. Therefore, the shareholders' equity is $45,000 + $130,000 = $175,000.

Now we can calculate the debt-to-equity ratio by dividing the total liabilities by the shareholders' equity.

Debt-to-equity ratio = Total liabilities / Shareholders' equity = $130,000 / $175,000 = 0.74 (rounded to two decimal places)

Therefore, Hannah's debt-to-equity ratio is 0.74, which is closest to option 0.75.

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Answer:

Step-by-step explanation:

Given that the ratio is 1:3

concentrate =1

water=3

the total =3+1=4

using the part to all method

1/4=x/32

cross multiply

4x=32

divide both sides by 4 we have

x=32/4

x=8

Therefore the amount of concentrate is 8 cups

Answer:

9/1

Step-by-step explanation:

Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6

The events are mutually exclusive events, so P(A|B) is 0.

In this question,

If two events are mutually exclusive, there is no chance that both events will occur. Being the intersection an operation whose result is made up of the non-repeated and common events of two or more sets, that is, given two events A and B, their intersection is made up of the elementary events that they have in common, then

⇒ A ∩ B = 0

Now the conditional probability, P(A|B) = \(\frac{P(A \cap B )}{P(B)}\)

⇒ \(\frac{0}{0.10}\)

⇒ 0.

Hence we can conclude that the events are mutually exclusive events, so P(A|B) is 0.

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The end behavior of each function is defined as follows:

1. \(\sqrt{6x}\): as x -> ∞, f(x) -> ∞.

2. \(\sqrt{x - 5} - 6\): as x -> ∞, f(x) -> ∞.

3. \(-3\sqrt{x + 3} + 7\): as x -> ∞, f(x) -> -∞.

The end behavior of a function is given by the limit of the function is the input x goes to either negative infinity or positive infinity.

The functions in this problem are all variations of the square root function, which is defined only for non-negative numbers, and thus only the limit when x goes to infinity has to be considered.

As x goes to infinity, the square root goes to infinity, which already define the end behavior for items 1 and 2.

For item 3, the negative leading coefficient means that the function is reflected over the x-axis, assuming a negative value, and thus the end behavior is that the function goes to negative infinity.

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As per the permutation method, there are 215,160 different ways are available for making the letters with vowel as the starting letter and s as the ending letter.

The term permutation in math is defined as  a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters

Here we need to find the number of combination for the word that start with a vowel and end with an s.

As we all know that there are 26 letters in alphabets.

so that would be all four letter words - four letter words with no vowel.

Then it can be calculated as the total number of four letter words

=> 26P4 or 26C4*4!

Then the number of four letter words without a vowel is calculated as

=> 21P4

Therefore, it can be written as,

=> 26P4 - 21P4

Then the resulting word count is calculated as,

=> (26 x 25 x 24 x 23) - (21 x 20 x 19 x 18)

=> 215160

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a. The probability that no boats arrive in a 2-hour period is approximately 0.0003.

b. The probability that 1 boat arrives in a 2-hour period is approximately 0.0023.

c. The probability that 2 boats arrive in a 2-hour period is approximately 0.0466.

d. The probability that 2 or more boats arrive in a 2-hour period is approximately 0.9511.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

Given that boats arrive at the inlet drawbridge according to a Poisson distribution with a rate of 4 per hour, we can use the Poisson probability formula to calculate the probabilities.

The Poisson probability mass function is given by:

P(x; λ) = \((e^{(-\lambda)} * \lambda^x) / x!\)

where x is the number of events, λ is the average rate of events.

(a) To find the probability that no boats arrive in a 2-hour period, we can calculate P(0; λ), where λ is the average rate of events in a 2-hour period. Since the rate is 4 boats per hour, the average rate in a 2-hour period is λ = 4 * 2 = 8.

P(0; 8) = \((e^{(-8)} * 8^0) / 0! = 8e^{(-8)}\) ≈ 0.0003

The probability that no boats arrive in a 2-hour period is approximately 0.0003.

(b) To find the probability that 1 boat arrives in a 2-hour period, we can calculate P(1; λ), where λ is the average rate of events in a 2-hour period (λ = 8).

P(1; 8) = \((e^{(-8)} * 8^1) / 1! = 8e^{(-8)}\) ≈ 0.0023

The probability that 1 boat arrives in a 2-hour period is approximately 0.0023.

(c) To find the probability that 2 boats arrive in a 2-hour period, we can calculate P(2; λ), where λ is the average rate of events in a 2-hour period (λ = 8).

P(2; 8) = \((e^{(-8)} * 8^2) / 2! = (64/2) * e^{(-8)}\) ≈ 0.0466

The probability that 2 boats arrive in a 2-hour period is approximately 0.0466.

(d) To find the probability that 2 or more boats arrive in a 2-hour period, we need to calculate the complement of the probability that 0 or 1 boat arrives.

P(2 or more; 8) = 1 - (P(0; 8) + P(1; 8))

P(2 or more; 8) \(= 1 - (e^(-8) + 8e^{(-8)})\) ≈ 0.9511

The probability that 2 or more boats arrive in a 2-hour period is approximately 0.9511.

Please note that the above probabilities are calculated based on the assumption of a Poisson distribution with a rate of 4 boats per hour.

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Therefore, the probability that all four trees selected are apple trees is 0.0038, which can be expressed as a decimal rounded to four decimal places.

To find the probability that all four trees selected are apple trees, we need to use the formula for probability:
P(event) = number of favorable outcomes / total number of possible outcomes
In this case, we want to find the probability of selecting four apple trees out of a total of 100 trees. We know that there are 62 apple trees out of 100, so we can use this information to calculate the probability.
First, we need to calculate the number of favorable outcomes, which is the number of ways we can select four apple trees out of 62:
62C4 = (62! / 4!(62-4)!)

= 62 x 61 x 60 x 59 / (4 x 3 x 2 x 1)

= 14,776,920
Next, we need to calculate the total number of possible outcomes, which is the number of ways we can select any four trees out of 100:
100C4 = (100! / 4!(100-4)!)

= 100 x 99 x 98 x 97 / (4 x 3 x 2 x 1)

= 3,921,225
Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:
P(event) = 14,776,920 / 3,921,225 = 0.0038
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The two necessary instance variables for representing a fraction would be the numerator and the denominator.

The numerator represents the top part of the fraction indicating the number of equal parts being considered. The denominator represents the bottom part of the fraction indicating the total number of equal parts the whole is divided into.

These two variables are crucial for accurately representing and performing operations on fractions such as addition, subtraction, multiplication, and division. They allow for precise manipulation and comparison of fractional values within a programming class.

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Based on the calculations, 75% of this number (80) is equal to 60.

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

In order to solve this word problem, we would assign a variable to the unknown number and then translate the word problem into algebraic equation as follows:

Let the number be n.

Translating the word problem into an algebraic equation, we have;

30% of a number is 24 would be given by:

30/100 × n = 24

0.30n = 24

n = 24/0.30

n = 80

45% of the same number is 36 would be given by:

45/100 × n = 36

0.45n = 36

n = 36/0.45

n = 80

Next, we would determine 75% of this number as follows:

Number = 75/100 × 80

Number = 0.75 × 80

Number = 60.

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Answer:

10 ft   = 4188.7902047864

4ft  =  268.08257310633

6ft =   904.77868423386

8ft =   2144.6605848506

Step-by-step explanation:

if it isnt correct gimme more detail n ill help like sphere cone cylinder

The value of P((A ∩ B) ∪ (C ∪ D ∩ E))' is approximately 0.1571. the probability that component A is not working given that the system works is approximately 0.001.

To calculate the values in Part 1 and Part 2, we'll use basic probability rules and formulas.

Given: P(A) = P(B) = 0.77, P(C) = P(D) = P(E) = 0.85

Part 1: We want to find the probability of the complement of the event (A ∩ B) ∪ (C ∪ D ∩ E), denoted as P((A ∩ B) ∪ (C ∪ D ∩ E))'.

Using De Morgan's law, the complement of a union is the intersection of complements:

P((A ∩ B) ∪ (C ∪ D ∩ E))' = P((A ∩ B)') ∩ (C ∪ D ∩ E)'

The complement of an intersection is the union of complements:

P((A ∩ B)') ∩ (C ∪ D ∩ E)' = (P(A') ∪ P(B')) ∩ (P(C') ∩ P(D') ∩ P(E'))

Substituting the given probabilities:

P((A ∩ B)') ∩ (C ∪ D ∩ E)' = (1 - P(A)) ∪ (1 - P(B)) ∩ (1 - P(C)) ∩ (1 - P(D)) ∩ (1 - P(E))

Calculating the values:

P(A') = 1 - P(A) = 1 - 0.77 = 0.23

P(B') = 1 - P(B) = 1 - 0.77 = 0.23

P(C') = 1 - P(C) = 1 - 0.85 = 0.15

P(D') = 1 - P(D) = 1 - 0.85 = 0.15

P(E') = 1 - P(E) = 1 - 0.85 = 0.15

Now, we calculate the final probability:

P((A ∩ B)') ∩ (C ∪ D ∩ E)' = (0.23 ∪ 0.23) ∩ (0.15 ∩ 0.15 ∩ 0.15)

                          = 0.23 ∩ 0.15 = 0.1571 (rounded to 4 decimal places)

Therefore, the value of P((A ∩ B) ∪ (C ∪ D ∩ E))' is approximately 0.1571.

Part 2: We want to find the probability that component A is not working given that the system works, denoted as P(A' | System Works).

Using the conditional probability formula:

P(A' | System Works) = P(A' ∩ System Works) / P(System Works)

To calculate the numerator:

P(A' ∩ System Works) = P(A' ∩ B' ∩ C' ∩ D' ∩ E')

                    = P(A') ∩ P(B') ∩ P(C') ∩ P(D') ∩ P(E')

                    = 0.23 ∩ 0.23 ∩ 0.15 ∩ 0.15 ∩ 0.15  = 0.0002634 (rounded to 7 decimal places)

To calculate the denominator:

P(System Works) = 1 - P(A' ∪ B' ∪ C' ∪ D' ∪ E')

= 1 - (P(A') ∪ P(B') ∪ P(C') ∪ P(D') ∪ P(E')) = 1 - (0.23 ∪ 0.23 ∪ 0.15 ∪ 0.15 ∪ 0.15) = 1 - 0.66 = 0.34

Now, we calculate the final probability:

P(A' | System Works) = P(A' ∩ System Works) / P(System Works)

= 0.0002634 / 0.34 = 0.0007735 (rounded to 7 decimal places)

Therefore, the probability that component A is not working given that the system works is approximately 0.001.

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The complete question is:<The reliability (probability of working) of each component is specified as follows and the components work or fail independently. P(A) = P(B) = 0.77 P(C) = P(D) = P(E) = 0.85 A B с DHE Part 1 What is the value of P((ANB) U(CODn E))' (Enter your answer with 3 decimal digits.) 0.1571 100% Part 2 What is the probability that the component A is not working given that the system works? (Enter your answer with 3 decimal digits.) Hint: Think of a conditional probability definition.>

Answer:

(C)    $18.00

Step-by-step explanation:

10% = 0.1

180 * 0.1 = 18

(C) $18.00

A. x1, x2, x3, s1, s2 ≥ 0

B. New table au:

x1 x2 x3 s1 s2 RHS

x2 | 0 1 4/7 3/14 -1/14 1/2

s2 | 1 0 3/7 -1/14 3/14 3/2

Z | 0

a) Writing the problem in equation form and adding slack variables:

Maximize Z = 3x1 + 2x2 + x3

Subject to:

3x1 - 3x2 + 2x3 + s1 = 3

-x1 + 2x2 + x3 + s2 = 6

x1, x2, x3, s1, s2 ≥ 0

b) Solving the problem using the simplex method:

Step 1: Convert the problem into canonical form (standard form):

Maximize Z = 3x1 + 2x2 + x3 + 0s1 + 0s2

Subject to:

3x1 - 3x2 + 2x3 + s1 = 3

-x1 + 2x2 + x3 + s2 = 6

x1, x2, x3, s1, s2 ≥ 0

Step 2: Create the initial tableau:

x1 x2 x3 s1 s2 RHS

s1 | 3 -3 2 1 0 3

s2 | -1 2 1 0 1 6

Z | 3 2 1 0 0 0

Step 3: Perform the simplex method iterations:

Iteration 1:

Pivot column: x1 (lowest ratio = 3/1 = 3)

Pivot row: s2 (lowest ratio = 6/2 = 3)

Perform row operations to make the pivot element equal to 1 and other elements in the pivot column equal to 0:

s2 = -s2/3

x2 = x2 + (2/3)s2

x3 = x3 - (1/3)s2

s1 = s1 - (1/3)s2

Z = Z - (3/3)s2

New tableau:

x1 x2 x3 s1 s2 RHS

x1 | 1 -2/3 -1/3 0 1/3 2

s2 | 0 7/3 4/3 1 -1/3 2

Z | 0 2/3 2/3 0 -1/3 2

Iteration 2:

Pivot column: x2 (lowest ratio = 2/7)

Pivot row: x1 (lowest ratio = 2/(-2/3) = -3)

Perform row operations to make the pivot element equal to 1 and other elements in the pivot column equal to 0:

x1 = -3x1/2

x2 = x2/2 + (1/7)x1

x3 = x3/2 + (4/7)x1

s1 = s1/2 - (1/7)x1

Z = Z/2 - (2/7)x1

New tableau:

x1 x2 x3 s1 s2 RHS

x2 | 0 1 4/7 3/14 -1/14 1/2

s2 | 1 0 3/7 -1/14 3/14 3/2

Z | 0

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i think the one you had selected

hope i helped

Answer

The missing value is 4/9

Answer:

D = (9,4) - (-4, -7) = (13,11)   where D is length of line between A and B

.7 D = (9.1, 7.7)       since .7 * 13 = 9.1     and .7 * 11 = 7.7

Thus we merely need to add these amounts to point A

(-4, -7) + (9.1, 7.7) = (5.1, .7)    for the final coordinates

(a) The total number of ways to place one snake horizontally or vertically is  448.

(b)The total number of ways to place one snake with the head and tail on squares of different colors is 1024.

(c)The total number of ways to place two snakes is 523264.

To place one snake horizontally or vertically, we need to consider each row and column separately. There are 8 rows and 8 columns, so we need to find the number of ways to place a snake in one row or column and multiply by 16.

In one row or column, there are 7 ways to place a snake of length 2, 6 ways to place a snake of length 3, and so on until 1 way to place a snake of length 8. So the total number of ways to place one snake horizontally or vertically is 16(7 + 6 + 5 + 4 + 3 + 2 + 1) = 16(28) = 448.

(b) To place one snake with the head and tail on squares of different colors, we need to consider the color of the head and tail separately.

There are 32 white squares and 32 black squares on the chessboard. If the head is on a white square, the tail must be on a black square, and vice versa. So the total number of ways to place one snake with the head and tail on squares of different colors is 32 × 32 = 1024.

(c) To place two snakes, we need to use the product rule.

We can first place one snake in 1024 ways, and then place the second snake in 1024 - 2 = 1022 ways, since the second snake cannot occupy the same squares as the first snake.

So the total number of ways to place two snakes is 1024 × 1022 = 1046528.

However, this procedure overcounts the number of ways to place two snakes, since the order of the snakes does not matter. We need to divide by 2 to adjust for overcounting, so the final answer is 1046528/2 = 523264.

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Answer:

Step-by-step explanation:

I dont know

Answer: D

Step-by-step explanation:

Answer:

1st slot: 12

2nd slot: 48

Step-by-step explanation:

Hope this helps!

The transformations on the graph are:

In the given function, we can identify the following values:

a = 5, which is the vertical stretch or compression factor of the graph.

h = -6, which is the horizontal shift of the graph.

k = -2, which is the vertical shift of the graph.

The negative sign in front of h indicates that the graph is horizontally shifted 6 units to the left.

The negative sign in front of k indicates that the graph is vertically shifted 2 units downward.

The value of a = 5 indicates that the graph is vertically compressed by a factor of 5.

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Answer:

third one is true ...........

Answer:

\( \frac{5.9}{100} \times 61 \\ = 3.599 \\ result = 61 + 3.599 \\ = 64.599\)

Approximately the answer is 65.

Hope that this is helpful.

Have a great day.