1. in an experiment in which a six-sided dice is rolled twice, what is the probability that 4-dots side appears in at least one roll?

Answer:

46,57/4

Step-by-step explanation:

area = π.r^2 = π.(d^2)/4

d^2 = AB^2= 5,6^2+3,9^2 =46,57

----> area = π.46,57/4

A

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bfbd

Answer:

its  A

Step-by-step explanation:

Answer: If the points are (2, 2) and (4, 3), then the slope would be 2.

Step-by-step explanation: uw :)

The probability that the 3rd patient with heart failure that enters the emergency room is the first one due to outside factors is 0.02712.

Probability of natural occurrences = 0.82Probability of outside factors = 0.18To find the probability that the 3rd patient with heart failure that enters the emergency room is the first one due to outside factors, we have to consider two possibilities:

The first two patients are due to natural occurrences, or the first two patients are due to outside factors.If the first two patients are due to natural occurrences, the probability of the third patient being the first due to outside factors is:0.82 x 0.82 x 0.18 = 0.12272

If the first two patients are due to outside factors, the probability of the third patient being the first due to outside factors is:0.18 x 0.82 x 0.82 = 0.12272

Therefore, the total probability of the third patient being the first due to outside factors is the sum of these two probabilities:0.12272 + 0.12272 = 0.24544But, we have counted the case where all three patients have outside factors twice, so we need to subtract that probability once:0.24544 - 0.01836 = 0.22708

Therefore, the probability that the 3rd patient with heart failure that enters the emergency room is the first one due to outside factors is 0.22708 or approximately 0.02712.

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Based on the given information, the net amount your firm will receive on the next transaction date can be calculated by subtracting the variable interest rate from the fixed interest rate.

In the swap agreement, your firm pays a fixed interest rate of 5.50 percent and receives a variable interest rate equal to LIBOR (London Interbank Offered Rate) plus 150 basis points. LIBOR is currently 3.75 percent.

To calculate the net amount your firm will receive on the next transaction date, we need to subtract the variable interest rate from the fixed interest rate.

Fixed interest rate: 5.50%

Variable interest rate: LIBOR (3.75%) + 150 basis points (1.50%) = 5.25%

Therefore, the net amount your firm will receive on the next transaction date is the difference between the fixed interest rate and the variable interest rate, which is 0.25%.

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Answer:

I believe the answer is five

Answer: It’s 5

Step-by-step explanation:

Answer:

a = sqrt(7)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

where a and b are the legs and c is the hypotenuse

a^2 +3^2 = 4^2

a^2 +9 = 16

a^2 = 16-9

a^2 = 7

Taking the square root

a = sqrt(7)

To identify the error or errors in the argument, let's break it down: The argument states that if ∃xP(x)∧∃xQ(x) is true, then ∃x(P(x)∧Q(x)) is true.

The error lies in assuming that the existence of an x satisfying P(x) and the existence of an x satisfying Q(x) implies the existence of an x satisfying both P(x) and Q(x). However, this assumption is incorrect. Just because there exists an x satisfying P(x) and there exists an x satisfying Q(x) does not necessarily mean that there exists an x satisfying both P(x) and Q(x).

Therefore, the argument is flawed. The conclusion does not logically follow from the premises. Regarding the other terms you mentioned, they seem unrelated to the error in the argument. Let me know if you have any further questions or need clarification.

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The relative frequency of getting the disk numbered 7 on the next draw is 0.12 or 12%.

To find the relative frequency of getting the disk numbered 7 on the next draw, we need to analyze the data provided.

In this scenario, a disk is drawn at random from a box containing 10 disks numbered 1 through 10. The draws are made with replacement, meaning that after each draw, the disk is returned to the box, and the next draw is independent of the previous ones.

We are given that the disk numbered 7 was drawn 6 times out of the 50 draws. To find the relative frequency of getting the disk numbered 7 on the next draw, we need to determine the proportion of times it appeared relative to the total number of draws.

The relative frequency can be calculated by dividing the number of times the desired outcome occurs (in this case, drawing disk 7) by the total number of trials (draws).

In this case, the number of times disk 7 was drawn is 6, and the total number of draws is 50. Therefore, the relative frequency is:

Relative frequency = (Number of times disk 7 was drawn) / (Total number of draws)

                 = 6 / 50

                 = 0.12

Hence, the relative frequency of getting the disk numbered 7 on the next draw is 0.12 or 12%.

This means that if we were to continue drawing disks with replacement, the probability of drawing disk 7 on the next draw would be approximately 12%. However, it's important to note that since the draws are made with replacement, the probability of drawing any specific disk remains the same for each draw, regardless of the previous outcomes.

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Answer:

x = 0

Step-by-step explanation:

27 - 3x = 3x + 27

- 3x - 3x = 27 - 27

- 9x = 0

x = 0

Answer:

What is it i can probably help

Step-by-step explanation:

\(since \to : x \sqrt[y]{ {n}^{z} } = x( {n}^{ \frac{z}{y} } ) \\ then \: lets \: solve \: both \: values \: separately \to : \\ \underline{ \boxed{solution \: to \: \boxed{a}}} \\ 120 \sqrt[3]{ {n}^{a} } = 3 \sqrt{n} (40 \sqrt[6]{n} ) \\ 120 \sqrt[3]{ {n}^{a} } = 3 \sqrt{n} \times 40 \sqrt[6]{n} \\ 120 \sqrt[3]{ {n}^{a} } = 120 (\sqrt{n} \times \sqrt[6]{n} ) \\ \sqrt[3]{ {n}^{a} } = (\sqrt{n} \times \sqrt[6]{n} ) \\ {n}^{ \frac{a}{3} } = {n}^{ \frac{1}{2} } \times {n}^{ \frac{1}{6} } \\ \frac{a}{3} = \frac{1}{2} + \frac{1}{6} \\ \frac{a}{3} = \frac{4}{6} \\ 6a = 12 \\ a = \frac{12}{6} = 2 \\ \underline{ \boxed{a = 2 \:}} \\ \\ \: \underline{ \boxed{solution \: to \: \boxed{b}}} \\ 27 \sqrt[4]{ {n}^{b} } = 3 \sqrt{n} (9 \sqrt[4]{n} ) \\ 27 \sqrt[4]{ {n}^{b} } = 3 \sqrt{n} \times 9 \sqrt[4]{n} \\ 27 \sqrt[4]{ {n}^{b} } = 27 (\sqrt{n} \times \sqrt[4]{n} ) \\ \sqrt[4]{ {n}^{b} } = (\sqrt{n} \times \sqrt[4]{n} ) \\ {n}^{ \frac{b}{4} } = {n}^{ \frac{1}{2} } \times {n}^{ \frac{1}{4} } \\ \frac{b}{4} = \frac{1}{2} + \frac{1}{4} \\ \frac{b}{4} = \frac{3}{4} \\ 4b = 12 \\ b = \frac{12}{4} = 3 \\ \underline{ \boxed{b = 3 \:}} \\ hence \to : \\ \underline{ \underline{\boxed{a = 2 \:}} \underline{ \boxed{b = 3 \:}}}\)

(1/2)p - 5 = 12

(1/2)p = 17

p = 34

Answer:

p = 3

Step-by-step explanation:

Multiply both sides by 2 to get:

\(p-10 = 24\\p = 24 + 10\\p = 34\)

Answer:

Complementary

Step-by-step explanation:

It adds up to a right angle and it will be 90°

Answer:

Complementary

Step-by-step explanation:

Complementary angles sum to 90°

(6x + 1)° and 29° form a right angle , that is

(6x + 1) + 29 = 90°

Since the angles sum to 90° they are complementary

The conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10

The sequence is given as:

0, 2, 4, 6, 8

In the above sequence, we can see that each current term is 2 added to the previous term

i.e.

Tn = 2 + Tn-1

Using the above conjecture, we have

Next term = 8 + 2

Evaluate

Next term = 10

Hence, the conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10

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In order to calculate the value of 'a', we can use the Pythagorean theorem, where the hypotenuse squared is equal the sum of each leg squared:

In this case, the hypotenuse is 10 and the legs are 'a' and 7, so we have:

So the value of 'a' is √51.

Answer:

a)5x+6

b) 8y+11

c) 8k+7m

d) 8u+2v

e) 5n+3

f) 3p-4q

Step-by-step explanation:

3x+2x=5x       5+1=6

8+3=11        7y+y=8y (basically a 1 in front of the y so just pretend it has a 1 in front of it)

2k+6k=8k             3m+4m=7m

7u+u=8u           v+v=2v    (same thing like before imagine a 1 in front of all non-coefficient variables.)

8n-3n=5n           5-2=3

4p-p= 3p              7q-3q= 4q

:)

Answer:

The answers are below. All you need to do is add the numbers with the same variable (letter) and if they do not have the same variable, then you cannot add them and leave as is.

You also need to add the numbers with no variables together.

Step-by-step explanation:

a)5x+6

b) 8y+11

c) 8k+7m

d) 8u+2v

e) 5n+3

f) 3p-4q

Given:

2x + 4y = 14

4x + y = 20

Required:

We need to find the equivalent to the given system.

Explanation:

Consider the equation

Multiply both sides of the equation by -4, it will not affect the equations of the system

Final answer:

The equivalent system of the equation is

The information that is not sufficient to prove that a parallelogram is a square is the measurement of its angles alone. Additional information about the lengths of its sides is needed to confirm if a parallelogram is indeed a square.

To determine whether a parallelogram is a square, we need to consider both the angles and the side lengths. A parallelogram has opposite sides that are parallel and equal in length, and opposite angles that are congruent. While a square is a special type of parallelogram with four equal sides and four right angles, simply knowing that the angles of a parallelogram are equal is not enough to establish it as a square.

To confirm that a parallelogram is a square, we must also ensure that all four sides are of equal length. In a square, all angles are right angles, and all sides are congruent. Therefore, if we have information about the side lengths of a parallelogram and can verify that they are equal, along with the knowledge that the angles are right angles, then we can conclude that the parallelogram is indeed a square.

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Answer:

so your answer is below

x=1/2

y=1

The general solution of the given differential equation is:  y = c*(x^3 - 4x^2y + 4xy^2 - y^3)^(1/3)

Here, c is an arbitrary constant.

To solve the differential equation, first multiply both sides by x(x - 4y). After multiplying, the equation will become

Now, divide both sides by y(3x - 4y) to obtain the differential equation

The general solution of this equation is

, where c is an arbitrary constant.

Substituting this general solution in the original equation, we obtain

. Solving for c, we get

.

Substituting c = 0 in the general solution of the differential equation, we get the required general solution

Answer:

67

Step-by-step explanation:

we have a gap between 1st and 2nd terms of 4. a gap between 2nd and 3rd of 8. 16 for next gap. the gap doubles every time.

so we expect gap between 4th and 5th terms to be 2 X 16 = 32.

35 + 32 = 67. that is the next number in the sequence.

Answer:

How do you interpret the y-intercept in the context of the problem?

The y-intercept of a line is the value of y where the line crosses the y-axis. In other words, it is the value of y when the value of x is equal to 0. Sometimes this has true meaning for the model that the line provides, but other times it is meaningless.

Step-by-step explanation:

A classmate writes the matrix at the right to represent a system and says that the solution is x = 2, y = 0. Classmate's error and how to describe it is mentioned as follows:

Given:

x = 2

y = 0

From this we can say that The second row of the matrix doesn't have a coefficient in the y column. The equation represented by second row is 0 = 0 and not y = 0.

Thus it is concluded that the equation represented by second row  is 0 = 0 not y = 0.

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Answer:

The arc length is about 12.57.

Step-by-step explanation:

Formula for arc length: 2πr( degrees/360)

For ours lets do 2π8(90/360)

Simplify the 90 and 360: 16π(1/4)

This gives you: 16π/4

Divide by 4

You get: 4π

4π ≅ 12.57

Answer:

I am pretty sure it's a

I hope this helps

Answer:

90

Step-by-step explanation:

Take the cost of each book and multiply by the number of people who bought each book

7.50 * 12

90

The answer is , an approx. value of m such that the equation cos(x) = mx has exactly two solutions is m = 1 and m = -0.3183

To find an approximate value of m such that the equation cos(x) = mx has exactly two solutions, we can use the fact that the graph of y = cos(x) intersects the line y = mx at exactly two points.

The graph of y = cos(x) is a periodic function with a maximum value of 1 and a minimum value of -1.

Since we want the line y = mx to intersect the graph of y = cos(x) at exactly two points, the slope m must satisfy the condition -1 ≤ m ≤ 1.

Furthermore, for the line y = mx to intersect the graph of y = cos(x) at exactly two points, the line must pass through the maximum and minimum points of the graph of y = cos(x).

These occur at x = 0 and x = π.

At x = 0, we have cos(0) = 1 and the equation cos(x) = mx becomes 1 = m(0), which simplifies to m = 1.

At x = π, we have cos(π) = -1 and the equation cos(x) = mx becomes -1 = m(π), which simplifies to m = -1/π.

Therefore, an approx. value of m such that the equation cos(x) = mx has exactly two solutions is m ≈ 1 and m ≈ -0.3183 (rounded to four decimal places).

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