"""""""Convert the losowing angle to degrees, minutes, and seconds form
a = 98.82110degre"

Answer:

FG = 16

Step-by-step explanation:

Given:

If M is the midpoint of FG then:

⇒ FM = MG

⇒ 5y + 13 = 5 - 3y

⇒ 5y + 13 + 3y = 5 - 3y + 3y

⇒ 8y + 13 = 5

⇒ 8y + 13 - 13 = 5 - 13

⇒ 8y = -8

⇒ y = -1

As M is the midpoint of FG then:

⇒ FG = FM + MG

⇒ FG = (5y + 13) + (5 - 3y)

⇒ FG = 5y + 13 + 5 - 3y

⇒ FG = 2y + 18

Substitute the found value of y into the found equation for FG:

⇒ FG = 2(-1) + 18

⇒ FG = -2 + 18

⇒ FG = 16

The probability that the sample proportion will be at least k is 0.7580.

Let P be the probability that any one person in the population will cooperate and respond to the questions. We are looking for the probability that at least k people out of n in the sample will cooperate and respond to the questions. Let X be the number of people who cooperate and respond to the questions in the sample. X follows the binomial distribution with parameters n and P.To calculate this, use the following formula:

Z = (X - μ) / σ

Here, X = number of people who cooperate and respond to the questions in the sample

μ = E(X) = np,  σ = sqrt(npq)

q = 1 - P

Now, to calculate the probability, first calculate μ = np =

σ = sqrt(npq)

Then, find the z-score using z = (k - μ) / σ.

Now, use the z-table to find the probability corresponding to the z-score obtained in the previous step. The probability obtained from the z-table is the probability that the sample proportion will be at least k.

The probability that the sample proportion will be at least k is 0.7580.

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The probability that the T-shirt John picks is dark blue is 2/3.

To find the probability that John picks a dark blue T-shirt, we'll need to consider the total number of blue T-shirts and the number of dark blue T-shirts.
Determine the total number of blue T-shirts.
John has 2 dark blue and 1 light blue T-shirt, so he has a total of 2 + 1 = 3 blue T-shirts.
Determine the number of dark blue T-shirts.
John has 2 dark blue T-shirts.
Calculate the probability.
The probability that John picks a dark blue T-shirt is the number of dark blue T-shirts divided by the total number of blue T-shirts.
Probability = (Number of dark blue T-shirts) / (Total number of blue T-shirts) = 2 / 3.

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Answer:1/49

Step-by-step explanation:

It is 1/7 times 1/7, which is equal to 1/49.

Answer:

(3,0) (-3,0)

Step-by-step explanation:

ask:))

Option (c) expresses 1−2 4−8 16 in sigma notation.

To see why, let's expand the terms:

1 - 2 + 4 - 8 + 16 = (1 - 2) + (4 - 8) + 16
= -1 - 4 + 16
= 11

Notice that each term is multiplied by (-1)^(k+1) and (2)^k, where k is the index of summation. We can express this in sigma notation as:

∑k=-2^2 (-1)^(k+1) (2)^k

This means we start the summation with k=-2 and end with k=2, and each term is given by (-1)^(k+1) (2)^k. Evaluating this summation gives:

(-1)^1 (2)^-2 + (-1)^2 (2)^-1 + (-1)^3 (2)^0 + (-1)^4 (2)^1 + (-1)^5 (2)^2
= (1/4) - 2 + 1 - 2 + 4
= 1 - 2 + 4 - 8 + 16
= 11

Therefore, option (c) expresses 1−2 4−8 16 in sigma notation.

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Answer:

12

Step-by-step explanation:

25.50+25.50=51

51/4.25=12

12 hours

It is not possible to provide a precise explanation or calculation for constructing a confidence interval or fitting a regression model in this context.

To construct a confidence interval, several key components are needed:

With these components, a confidence interval can be calculated to estimate the true population parameter (e.g., mean, proportion) within a certain range.

The formula for constructing a confidence interval depends on the specific parameter being estimated and the distribution of the data.

In the case of a regression model, additional information is needed, such as the equation or relationship between the dependent variable (Y) and explanatory variable (X).

This equation is used to estimate the fitted values and residuals.

Fitted values are the predicted values of the dependent variable based on the regression model, while residuals are the differences between the observed values and the fitted values.

Without the specific details of the sample size, mean, standard deviation, and the regression equation.

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Answer: Angle DBC = 72

Step-by-step explanation:

\(7q-46+3q+6=180 (Linear Pair)\\\)

To Find q:

= \(7q+3q-46+6=180\)

= \(10q-46+6=180\)

= \(10q-40=180\)

= \(10q=180+40\)

= \(10q=220\)

= \(q = \frac{220}{10}\)

= q = 22

To Find Angle DBC:

Q= 22

\(3\cdot q+6\)

\(3*22+6 = 72\)

DBC = 72

Answer:

see below

Step-by-step explanation:

1.  The inverse means take the not of both sides

If it is Saturday, then there is no school.

 Inverse     If it is not Saturday, then there is school.

The converse flips the then and the if

If there is no school, then it is Saturday.

2.) The first given part is the if, what will happen is the then part

If you are a freshman, then you are required to attend orientation.

3.)

Given: 3x+1=-14 Prove: x=-5

Statements    Reasons

1. 3x+1=-14     Given

2. 3x=-15          Subtraction Property of equality  ( since we subtract 1 from                         each side)

3. X=-5          Division Property  ( since we divide each side by 3)

Answer:

148

Step-by-step explanation:

(12×12)+7-3

144+7-3

151-3

148

Answer:

Step-by-step explanation:

First do the operation inside the parenthesis

(12*12) + 7 - 3 = 144 + 7 - 3

                     = 151 - 3

                     = 148

Answer:

$9.10

Step-by-step explanation:

Answer:

9.10

Step-by-step explanation:

1.95/3=0.65

0.65x14=9.10

The equation of the circle will be equal to (x + 5)² + (y - 2)² = 81

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Given that:

The equation of the circle will be:-

\(\sf ( x - h )^2 + ( y - k )^2 = r^2\)

\(\rightarrow\bold{(x + 5)^2 + (y - 2)^2 = 81}\)

Therefore the equation of the circle will be equal to (x + 5)² + (y - 2)² = 81

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The slope of the tangent line at (4, 54) is 45. So the equation of the tangent line to the curve y = x^3 - 3x + 2 at the point (4, 54) is y = 45x - 126.

To find the equation of the tangent line to the curve y = x^3 - 3x + 2 at the point (4, 54), we need to use calculus. First, we find the derivative of the function:

y' = 3x^2 - 3

Next, we plug in x = 4 to find the slope of the tangent line at that point:

y'(4) = 3(4)^2 - 3 = 45

So the slope of the tangent line at (4, 54) is 45. To find the equation of the line, we use the point-slope form of the equation:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the point on the line. Plugging in our values, we get:

y - 54 = 45(x - 4)

Simplifying, we get:

y - 54 = 45x - 180

y = 45x - 126

So the equation of the tangent line to the curve y = x^3 - 3x + 2 at the point (4, 54) is y = 45x - 126.

To find the equation of the tangent line to the curve y = x^3 - 3x + 2 at the point (4, 54), we need to first find the derivative of the function and then use the point-slope form of a line.

1. Find the derivative of the function with respect to x:
y'(x) = d/dx (x^3 - 3x + 2) = 3x^2 - 3

2. Evaluate the derivative at the given point (4, 54) to find the slope of the tangent line:
m = y'(4) = 3(4)^2 - 3 = 3(16) - 3 = 48

3. Use the point-slope form of a line (y - y1 = m(x - x1)):
y - 54 = 48(x - 4)

4. Simplify the equation:
y - 54 = 48x - 192
y = 48x - 138

So, the equation of the tangent line to the curve y = x^3 - 3x + 2 at the point (4, 54) is y = 48x - 138.

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the velocity of the raft before the swimmer reaches it is approximately -0.231 m/s to the north.

solve this problem, we can use the principle of conservation of momentum. The total momentum before and after the swimmer climbs onto the raft should be the same.

Let's denote the initial velocity of the raft as v.

The initial momentum of the swimmer is given by:
Momentum_swimmer = mass_swimmer * velocity_swimmer
= 58 kg * 1.6 m/s = 92.8 kg·m/s (north)

The initial momentum of the raft is:
Momentum_raft = mass_raft * velocity_raft
= 142 kg * v (unknown velocity)

The combined momentum after the swimmer climbs onto the raft is:
Momentum_combined = (mass_swimmer + mass_raft) * velocity_combined
= (58 kg + 142 kg) * 0.32 m/s = 60 kg * m/s (north)

Since momentum is conserved, we can set up an equation:
Momentum_swimmer + Momentum_raft = Momentum_combined

92.8 kg·m/s + 142 kg * v = 60 kg * m/s

Simplifying the equation:
142 kg * v = 60 kg * m/s - 92.8 kg·m/s
142 kg * v = -32.8 kg·m/s

Dividing both sides by 142 kg:
v = -32.8 kg·m/s / 142 kg
v ≈ -0.231 kg·m/s

Therefore, the velocity of the raft before the swimmer reaches it is approximately -0.231 m/s to the north.

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Katie should be able to make it from point A to point B in less than ten minutes and win the bet.

A minute is a unit of time equal to 60 seconds or one sixtieth of an hour. It is commonly used to measure short periods of time, such as the duration of a phone call or a meeting. The symbol for minute is "min".

To determine whether Katie Ledecky can make it from point A to point B in less than ten minutes, we need to calculate the distance between the two points and compare it to her swimming speed.

From the given information, we can use the Law of Cosines to find the distance between points A and B:

\(c^2 = a^2 + b^2 - 2ab cos(C)\)

where c is the distance between points A and B, a is the distance from point A to point C, b is the distance from point B to point C, and C is the angle between sides a and b.

Plugging in the given values, we get:

\(c^2 = 620^2 + 455^2 - 2(620)(455) cos(150°)\\\\c^2 = 383,825\)

c ≈ 619.5 yards

So the distance between points A and B is approximately 619.5 yards.

Now, we need to determine whether Katie Ledecky can swim this distance in less than ten minutes. We are given that she swam 1,000 yards in 8 minutes and 59.65 seconds, which is approximately 8.99 minutes. So her average speed for the 1,000 yard freestyle was:

speed = distance / time

speed = 1,000 yards / 8.99 minutes

speed ≈ 111.23 yards/minute

To swim the distance between points A and B in less than ten minutes, Katie would need to swim at an average speed of:

speed = distance / time

speed = 619.5 yards / 10 minutes

speed = 61.95 yards/minute

Katie's Olympic level swimming speed of 111.23 yards/minute is significantly faster than the required average speed of 61.95 yards/minute to swim from point A to point B in under ten minutes. Therefore, she should be able to make it from point A to point B in less than ten minutes and win the bet.

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Line segments equation is :

D = [(x2x1 x 2 x 1)2 + (y2y1 y 2 y 1)2].

This is further explained below.

Generally, A shape known as an angle is created when two rays (or two line segments) converge on a single point to produce a shape. To determine how large the angle is, we will use degrees as our unit of measurement.

In conclusion,  Now that we have the coordinates of the two endpoints, let's figure out how to calculate the length of the line segment that connects them.

In this instance, we make use of the formula for calculating distance, which is written as D = [(x2x1 x 2 x 1)2 + (y2y1 y 2 y 1)2].

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Answer:

the answer is 2 remember

Step-by-step explanation:

i cant explain but the answer is 2

Answer:

put the value of x in equation you get value of y

and vice versa.

Commonly, research begins with a straightforward random sample. This enables them to statistically analyze a sample of people drawn from a bigger population or group in order to simulate the response of the complete group.

Why does a field (a list of every person in the population) need to be included in simple random sampling?) :-

   - Simple random sample is the term used to describe a smaller portion    of a bigger population. Each person in this area has an equal probability of being selected. For this reason, a straightforward random sample is intended to be impartial in its portrayal of the wider group. This approach typically has an error margin, which is denoted by a plus or minus variant. An example of a sampling error is this.

why does the requirement of a field make collecting a simple random sample difficult :-

    - Only when a complete list of the entire population to be researched is available can a simple random sampling yield an accurate statistical measure of a big population. Consider a list of university students or a group of workers at a particular business.

The availability of these lists is the issue. Accessing the entire list can therefore be difficult. It's possible that some colleges or universities won't want to give researchers an exhaustive list of their faculty or students. Similar to this, some businesses might not be able or willing to provide information about particular employee groups due to privacy policies.

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Typically, research starts with a simple random sample. This gives them the ability to statistically assess a group or population sample taken from a larger one in order to imitate the response of the entire group.

Why does simple random sampling require a field (a list of every person in the population)?

A smaller subset of a larger population is referred to as a simple random sample. Everyone in this area has an equal chance of being chosen. Because of this, a simple random sample is meant to represent the larger group objectively. An plus or minus variant is used to indicate the approach's typical error margin. This is an illustration of a sampling inaccuracy.

Why is it difficult to gather a simple random sample because of a field's requirements:-

- A simple random sample cannot produce an appropriate statistical measure of a large population unless the entire population to be studied is accessible. Think of a list of college students or a team of employees at a specific company.

The problem is the accessibility of these lists. It may be challenging to access the complete list as a result. Some schools and universities might not wish to provide a complete list of their faculty or students to researchers. Similar to this, due to privacy policies, some businesses might not be able or willing to provide information about specific employee groups.

SSS stands for side, side, side and denotes two triangles with identical angles on all three sides.

Triangles are congruent when their third sides match those of another triangle.

SAS stands for side, angle, and side.

If two sides and the included angle of one triangle match the corresponding sides and angle of another triangle, the triangles are congruent.

The symbol ASA, which stands for "angle, side, angle," denotes the existence of two triangles with the same included side and two known angles. If two angles and the included side of one triangle match the corresponding angles and side of another triangle, the triangles are congruent.

The abbreviation AAS denotes the equality of the non-included side and two angles in two triangles. If two of one triangle's angles and its excluded side are equivalent to the corresponding angles and sides of another triangle, the triangles are congruent.

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The degree measures of each angle in the triangle are 82, 49 and 49

From the question, we have the following parameters that can be used in our computation:

The triangle

Where we have

E = 3x + 43

F = 4x - 3

The sum of angles in a triangle is 180

So, we have

3x + 43 + 4x - 3 + 4x - 3 = 180

Evaluate the like terms

11x = 143

Divide by 11

x = 13

So, we have

E = 3 * 13 + 43 = 82

F = 4 * 13 - 3 = 49

Hence, the degree measures of each angle in the triangle are 82, 49 and 49

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The probability that both will be married before the age of 18 is 0.0036. The probability that both will be married by the age of 25 is 0.25. Finally, the probability that both will be married by the age of 30 is 0.5476.

According to the brief report by NCHS, approximately 6% of women in the United States married for the first time before their 18th birthday, and 50% of women married by their 25th birthday. 74% of women married by their 30th birthday.The probability of a family with two daughters marrying at different ages is asked in the question. The probability that both daughters will be married by the ages of 18, 25, and 30 will be determined

The question requires finding the probability that both daughters of a family will be married by the ages of 18, 25, and 30 respectively. Since each daughter's wedding is a separate event, the individual probability of a daughter marrying at a given age will be determined separately and then multiplied together to get the probability of both daughters being married at the given age. So, let's find the probabilities of each daughter marrying at a given age:

Probability of one daughter getting married by 18 years:

As per the brief report, 6% of women in the United States married before the age of 18.

Therefore, the probability of one daughter getting married before the age of 18 is 0.06

Probability of one daughter getting married by 25 years:

As per the brief report, 50% of women in the United States get married by the age of 25. Therefore, the probability of one daughter getting married by 25 years is 0.5.

Probability of one daughter getting married by 30 years:

As per the brief report, 74% of women in the United States get married by the age of 30. Therefore, the probability of one daughter getting married by 30 years is 0.74.

The probability of both daughters getting married at the same age is the product of each daughter's probability of getting married at that age.

The probability that both daughters will get married before the age of 18 is:

P(both daughters married at 18 years) = P(daughter1 married at 18) × P(daughter2 married at 18)= 0.06 × 0.06= 0.0036

The probability that both daughters will get married by the age of 25 is:

P(both daughters married at 25 years) = P(daughter1 married at 25) × P(daughter2 married at 25)= 0.5 × 0.5= 0.25

The probability that both daughters will get married by the age of 30 is:

P(both daughters married at 30 years) = P(daughter1 married at 30) × P(daughter2 married at 30)= 0.74 × 0.74= 0.5476

The probability that in a family with two daughters, both will be married before the age of 18 is 0.0036. The probability that both daughters will be married by the age of 25 is 0.25. Finally, the probability that both daughters will be married by the age of 30 is 0.5476.

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Answer: P=2(l+w)=2·(1.5+4)=11 is the answr

Step-by-step explanation:

Answer: y = 3x+1

Step-by-step explanation: If (4,1) is a solution of y = 3x+1, that means if we plugin the respective values of (4,1), we should have an EQUALITY:

1 = 3(4) + 1

1 = 13 , which is wrong, then the point (4,1) is NOT a solution of y = 3x+1.

Answer:

y = 8

Step-by-step explanation:

using the rules of logarithms

loga + logb = log(ab)

loga = logb , then a = b

given

log(5y - 4) = log(y + 1) + log4

log(5y - 4) = log4(y + 1) , then

5y - 4 = 4(y + 1) = 4y + 4 ( subtract 4y from both sides )

y - 4 = 4 ( add 4 to both sides )

y = 8

Answer:

Step-by-step explanation:

a = 3

b = 2

c = 12

3a+2b-6c

3(3)+2(2)-6(12)

-59?