an insurance provider claims that 80% of cars owners have no
accident in 2021. you randomly selected 6 car owners and asked
whether they had any accidents in 2021. 1. let X denote the number
of car ow

The angle measure that is coterminal with the angle 7π/12 is 285°. So, the correct option is C.

In trigonometry, coterminal angles are two angles in standard position with the same terminal side. It's not hard to notice that two angles are coterminal if one angle is a multiple of 360° added or subtracted from the other. For example, if an angle is -750°, it is coterminal with an angle of 30°.

To find coterminal angles with a given angle, add or subtract any multiple of 360 degrees (for degrees) or 2π (for radians). In this case, to find the coterminal angle for the angle 7π/12, you need to add or subtract 2π until you get an angle that's between 0 and 2π.7π/12 is equal to (2*π + 3π/12). As a result, it is a full circle with a remainder of 3π/12, or π/4.

The number of radians must be between 0 and 2π (360°) to find the coterminal angle. The number of radians to subtract or add is obtained by evaluating the number of full circles between the two angles.285° is equal to 5π/6 (in radians).

To determine the coterminal angle, add 2π to the angle (which is the equivalent of a full circle) so that the number of radians is between 0 and 2π.285° + 360° = 645°

In radians, 645° is equal to 11π/6, which is equivalent to 285°. Therefore, 285° is the angle measure that is coterminal with the angle 7π/12.

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The benefits of representing data sets with frequency distributions and

graphs helps us to have a clearer picture and understanding about the data.

The frequency distribution helps us to know which data is more

concentrated and the respective values for the subjects.

The representation also assists with finding the missing properties of the

data in question.

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Answer:

y=3x-12

Step-by-step explanation:

to find slope we use y2-y1/x2-x1 by using any 2 points on the graph

(0,-12) (4,0)

0-(-12)/4-0)

12/4

3

The slope is 3

The y intercept is -12 since it crosses the y axis when y=-12

So we write those is y=Mx+b format where m is the slope and b is the y intercept

y=3x-12

Hopes this helps please mark brainliest

Answer:

1/104

Step-by-step explanation:

The probability of choosing a red king is 2/52 since there are only two red kings in a deck of 52 cards...the probability of choosing a club would be 13/52 since there are 13 club cardsin a deck of 52 cards

Therefore the probability of choosing both by replacing the king would be 2/52 × 13/52 giving us 1/104

Answer:

well the answer is 0.185

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Slope m = (y2 - y1)/(x2 - x1)

m = (13 - 1)/(0 - -4) = 12/4 = 3

The distance the golfer has to originally hit the ball for it to go directly to the same position on the green is (B) d ≈ 313.087 yards.

The given parameters are:

Required:

To calculate the distance between the two locations:

According to cosine law, we have:

Where,

It gives,

Therefore, the distance the golfer has to originally hit the ball for it to go directly to the same position on the green is (B) d ≈ 313.087 yards.

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The complete question is given below:
On a dogleg golf hole, one golfer hits the ball 250 yards and then another 150 yards to reach the green. The angle between the two hits is equal to 100 degrees. How far would the golfer have to originally hit the ball for it to go directly to the same position on the green?

(A) 98,023.613 yards

(B) 313.087 yards

(C) 142.570 yards

(D) 105.543 yards

Answer: you take 4.50 multiply it by 4 for the chaperons and the teacher then multiply 4.50 by how many students there are then add those two together and there is your answer

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

So to do this, lets convert all of these fractions into decimals by dividing:

5/6 --> 0.833...

7/12 --> 0.583...

4/7 --> 0.571...

2/3 --> 0.66...

From this, it can be see that it is 5/6, since it is a larger decimal compared to the other choices.

To find the 4th order Newton's divided-difference interpolating polynomial for f(x)=ln(x) with x=1,4,5,6,8, we first need to calculate the divided differences:

A. (a) The 4th order Newton's divided-difference interpolating polynomial for the function f(x) = ln(x) using the given data points is:

P(x) = ln(1) + (x - 1)[(ln(4) - ln(1))/(4 - 1)] + (x - 1)(x - 4)[(ln(5) - ln(4))/(5 - 4)(5 - 1)] + (x - 1)(x - 4)(x - 5)[(ln(6) - ln(5))/(6 - 5)(6 - 1)] + (x - 1)(x - 4)(x - 5)(x - 6)[(ln(8) - ln(6))/(8 - 6)(8 - 1)]

B. (a) To find f(x) at x = 7 and x = 9 using the interpolating polynomial, substitute the respective values into the polynomial expression P(x) obtained in the previous part.

Explanation:

A. (a) The 4th order Newton's divided-difference interpolating polynomial can be constructed using the divided-difference formula and the given data points. In this case, we have five data points: (1, ln(1)), (4, ln(4)), (5, ln(5)), (6, ln(6)), and (8, ln(8)). We apply the formula to calculate the polynomial.

B. (a) To find the value of f(x) at x = 7 and x = 9, we substitute these values into the polynomial P(x) obtained in the previous part. For x = 7, substitute 7 into P(x) and evaluate the expression. Similarly, for x = 9, substitute 9 into P(x) and evaluate the expression.

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Answer:

a = \(\frac{1}{7}\)

b = .2

c= \(\frac{3}{9}\)

Step-by-step explanation:

You could change all of the numbers to decimals and then order

\(\frac{1}{7}\) ≈ .1428

.2 =.2

\(\frac{3}{9}\) ≈ .3

Values of parameters n and p for the binomial distribution with mean 6 and variance 3.6 are n=15 and p=0.4, respectively.

In probability theory and statistics, the binomial distribution is a discrete probability distribution that describes the number of successes in a fixed number of independent and identical trials, where each trial can result in only two possible outcomes, often labeled as "success" and "failure".

The distribution depends on two parameters: the probability of success (p) and the number of trials (n). The probability of getting exactly k successes in n trials can be calculated using the binomial probability mass function.

The binomial distribution has applications in various fields, including quality control, genetics, and finance, among others.

We know that for a binomial distribution, the mean and variance are given by:

Mean = np

Variance = np(1-p)

Substituting the given values, we have:

Mean = 6

Variance = 3.6

Thus, we can write two equations:

6 = np

3.6 = np(1-p)

We can solve for n and p by substituting the first equation into the second equation:

3.6 = (6/p) * (1-p) * p

3.6 = 6 - 6p

6p = 6 - 3.6

p = 0.4

Substituting this value of p into the first equation, we get:

6 = n * 0.4

n = 6 / 0.4

n = 15

Therefore, the values of the parameters n and p are n = 15 and p = 0.4, respectively.

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The largest integer less than 2010 that has a remainder of 5 when divided by 7, a remainder of 10 when divided by 11, and a remainder of 10 when divided by 13. is 1440

Given, a number less than 2010 that has a remainder of 5 when divided by 7, a remainder of 10 when divided by 11, and a remainder of 10 when divided by 13.

On using the Chinese remainder theorem. As, the numbers 7, 11, 13 are pairwise coprime.

Firstly, an integer  m  such that  m−5  is divisible by 7 and  m−10  is divisible by 11 .

The Chinese remainder theorem says that all integers that work will be of the form  54+7⋅11⋅k=54+77k  for any integer  k .

Next an integer  n  such that  n−10  is divisible by 13 and  n−54  is divisible by 77.

Then, by the Chinese remainder theorem, all the integers that also work are of the form  439+13⋅77⋅k=439+1001k .

Hence, the positive integers satisfying the condition are: 439, 439 + 1001 = 1440, 1440 + 1001 = 2441, and so on.

The largest integer less than 2010 is 1440.

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The required probability of the son with normal vision is 0.50 and for the normal  blood clotting is 0.

Parent phenotype                                         Carrier woman

Affected man (Hemophilic)                           (colorblindness)

Parents X^h Y                                                    XX^C

Gametes X^h, Y X, X^C

Progeny                      X X^h       X^C X^h        X^C Y,       XY

Total outcome = 100

Favourable outcomes for a son with normal vision is= 50

Probability of a son with normal vision = 50/100

                                                                = 0.50

probability of a son with normal blood clotting = 0 / 100

                                                                             = 0

Therefore, the probability of the son with normal vision and normal blood clotting is 0.50 and 0 respectively.

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Answer:

There will be 15 2/3 cups in the mixture.

Step-by-step explanation:

3 3/5 + 2 2/3 = 3 9/15 + 2 10/15 = 5 19/15

= 6 4/15

6 4/15 × 2 1/2 = 94/15 × 5/2 = 47/3 = 15 2/3

So there will be 15 2/3 cups in the mixture.

Answer:

y=4

Step-by-step explanation:

first you have y=mx+b

then b=4

and m=0

so it is

y=0x+4

or y=4

Answer:

3x=152

Step-by-step explanation:

You know that there are 152 animals intotal so that goes at the end. if we say that the dogs are x because we dont know how many there are, then there are 3 times more cats then there are x.

For the given parallel lines, the value of x is 22/3 or 7.3

Parallel lines

Parallel lines referred as the two lines in the same plane that are at equal distance from each other and never meet.

Given,

Here we have the parallel line with the angle (14x - 23)°, 16° and (8x + 21)°.

Now, we have to find the value of x.

While we looking into the give diagram, the given lines are parallel.

So, both of them have same angle.

So, we have to equate one with another to find the value of x,

=> 14x - 23 = 8x + 21

Here we need the value of x, so,

=> 14x - 8x = 21 + 23

=> 6x = 44

=> x = 44/6

=> x = 22/3 or 7.3

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The half-life of the substance is approximately 14.4 days.

The half-life of a substance is the amount of time it takes for half of the substance to decay.

To find the half-life of a substance that decays to 35% its original amount in 6 days, we can use the following formula:

initial amount × (1/2)^(t/half-life) = final amount

We know that the final amount is 35% of the initial amount, or 0.35 times the initial amount. We also know that it takes 6 days for this decay to occur. So we can plug in these values and solve for the half-life:

initial amount × (1/2)^(6/half-life) = 0.35 × initial amount

Simplifying: (1/2)^(6/half-life) = 0.35

Dividing both sides by 1/2^(6/half-life):

1 = 0.35/(1/2)^(6/half-life)

Using the fact that (1/2)^(-x) = 2^x,

we can rewrite this as:

1 = 0.35 × 2^(6/half-life)

Taking the natural logarithm of both sides:

ln(1) = ln(0.35 × 2^(6/half-life))

ln(1) = ln(0.35) + ln(2^(6/half-life))

ln(1) = ln(0.35) + (6/half-life) × ln(2)

Simplifying: 0 = ln(0.35) + (6/half-life) × ln(2)

Solving for the half-life: ln(0.35) = -(6/half-life) × ln(2)

(1/half-life) = -ln(0.35) / (6 × ln(2))

half-life = -1 / [(6 × ln(2)) / ln(0.35)]

half-life ≈ 14.4 days

Therefore, the half-life of the substance is approximately 14.4 days.

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Step-by-step explanation:

6({-4b+14}÷6)+4b-14

-4b+14+4b-14

0

By using the concept of confidence interval, it can be concluded that-

Confidence interval = (0.1954, 0.2286)

We are 95 % confident that the true proportion of working adult who

were very concerned that their job will be automated, outsourced, or otherwise made obsolete in the next 5 years falls within this interval

Second option is correct

What is confidence interval?

Suppose there is a parameter which is unknown. Confidence interval will give the range of this unknown parameter.

Let the unknown  parameter be θ,  A confidence interval for the parameter θ is an interval (u, v)

where P(u < θ  < v) = 1 - α, where P is the probability

α is called level of significance

Total number of working adults = 2305

Number of working adults surveyed = 489

Proportion of sample surveyed = \(\frac{289}{2305}=\) 0.212

Standard error = \(\sqrt{\frac{0.212 \times ( 1- 0.212)}{2305}} = 0.0085\)

At 95% confidence interval, z value = 1.96

Margin of error = 1.96 \(\times\) 0.0085 = 0.0166

Lower bound for the confidence interval = 0.212 - 0.0166 = 0.1954

Upper bound for the confidence interval = 0.212 + 0.0166 = 0.2286

Confidence interval = (0.1954, 0.2286)

Now since this is a problem on confidence interval, so a concept of confidence will come into question.

So, we are 95 % confident that the true proportion of working adult who

were very concerned that their job will be automated, outsourced, or otherwise made obsolete in the next 5 years falls within this interval

Second option is correct

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Complete Question

The complete question has been attached

The limit does not exist.

In order for such a limit to occur, the fraction \(\frac{x^{2} }{x^{2} +y^{2} }\) must be comparable to the same value \(L\), regardless of the way we take to get there \((0,0)\).

Try approaching \((0,0)\) along the x-axis.

This means setting \(y=0\) and finding the limit \(lim_{x-0} \frac{x^{2} }{x^{2} +y^{2} }\).

We obtain:

\(lim_{x-0,y=0}\frac{x^{2} }{x^{2} +y^{2} } =lim_{y=0}}\frac{x^{2} }{x^{2} +0 }\\=lim_{x-0}} \frac{x^{2} }{x^{2} } \\\\=lim_{x-0}}1\\=1\)

Now evaluate approaching \((0,0)\) along the y-axis.

This means setting \(x=0\) and finding the limit \(lim_{y-0} \frac{x^{2} }{x^{2} +y^{2} }\).

\(lim_{y-0,x-0} \frac{x^{2} }{x^{2} +y^{2} } =lim_{y-0} \frac{0}{0+y^{2} } \\=lim_{y-0} \frac{0}{y^{2} } \\=lim_{y-0} 0\\=0\)

Approaching the origin via these two methods results in distinct limits.

\(lim_{x-0,y-0} \frac{x^{2} }{x^{2} +y^{2} }\) ≠ \(lim_{y-0,x-0}\frac{x^{2} }{x^{2} +y^{2} }\)

Therefore the limit does not exist.

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The correct question is given below:

Find the limit, if it exists, or show that the limit does not exist.

\(lim_{(x,y) -(0,0)} \frac{x^{2} }{x^{2} +y^{2} }\)

Answer: 13/25

Step-by-step explanation: it is equal to 52% which is greater than 50%

50% is greater than 13/25. To compare these two values, you can convert both of them to a common denominator, such as 50%. 50% is equal to 1/2, so 13/25 is equal to 52/50, which is less than 1/2 or 50%. Alternatively, you can also express both fractions as decimals and compare the two values that way. 50% is equal to 0.5, and 13/25 is equal to 0.52, so 50% is still greater than 13/25.

Answer:

37.5 km2 ...............

The equation of the parabola is y = ( 4/3 ) ( x + 1 )² + 4

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

Let the equation of parabola be represented as A

Now , the value of A is

Let the vertex of the parabola be V

Now , the coordinates of P is V ( -1 , 4 )

and , equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

On simplifying , we get

y = a ( x - ( - 1 ) ) + 4

y = a ( x + 1 )² + 4

Now , the point on the parabola is given by P ( 2 , 16 )

On simplifying , we get

when x = 2 and y = 16

16 = a ( 2 + 1 )² + 4

16 = 9a + 4

12 = 9a

a = 4/3

So , the the value of a is 4/3

And , the equation is g ( x ) = ( 4/3 ) ( x + 1 )² + 4

Therefore , the value of g ( x ) is ( 4/3 ) ( x + 1 )² + 4

Hence , the equation of parabola is g ( x ) = ( 4/3 ) ( x + 1 )² + 4

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Answer:

30 boxes of cereal

Step-by-step explanation:

Divide 120 boxes equally among 4 shelves. 120/4 = 30

Answer:

-10$

Step-by-step explanation:

Kim and Anthony spent 10 dollars on business cards and it does not say how much Kim earned for the dog walk so the correct integer is -10$

To prove that the sequence {an} is bounded, we can utilize the fact that the limit of the sequence exists. Since the limit of {an} as n approaches infinity is L, we can conclude that there exists some positive integer N such that for all n greater than or equal to N, the terms of the sequence are arbitrarily close to L.

1. By considering the terms up to index N-1, we can find a maximum value M that is greater than or equal to all those terms. By choosing the larger of M and L, we can establish an upper bound for all terms of the sequence.

2. Let's assume that the limit of {an} as n approaches infinity is L. This means that for any given positive epsilon, there exists a positive integer N such that for all n greater than or equal to N, the absolute value of (an - L) is less than epsilon. In other words, the terms of the sequence {an} become arbitrarily close to L as n becomes larger.

3. Now, let's consider the terms of the sequence up to index N-1. Since there are only finitely many terms before index N, we can find the maximum value among those terms, denoted as M. We know that M is greater than or equal to all the terms before index N.

4. To establish an upper bound for the entire sequence {an}, we consider two cases: (1) M is greater than or equal to L, and (2) M is less than L. In case (1), we choose M as the upper bound for the entire sequence {an}. Since M is greater than or equal to all terms before index N, and for all n greater than or equal to N, the terms become arbitrarily close to L, M serves as an upper bound for the entire sequence.

5. In case (2), we choose L as the upper bound for the entire sequence {an}. Since L is the limit of the sequence, and for all n greater than or equal to N, the terms become arbitrarily close to L, L serves as an upper bound for the entire sequence.

6. Therefore, we have shown that in both cases, the sequence {an} is bounded, with an upper bound of either M or L, depending on the situation.

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Answer:

Step-by-step explanation:

If You have this information about return of stock in 3

periods:

-12%, 20% and 25%.

calculate:

✘ O b. The geometric average.