The point (1, 4) is on a circle centered at the origin. What is the diameter of the circle?

Given:

Two box plots for Brand A and Brand B.

To find:

The correct statement for the given box plots.

Solution:

In a box plot, the left end of the box represents the first quartile \((Q_1)\), right end of the box represents the third quartile \(Q_3\) and the line inside the box represents the median.

The interquartile range of a data set is:

\(IQR=Q_3-Q_1\)

From the box plot of Brand A, it is clear that

\(Q_1=70\)

\(Median=75\)

\(Q_3=80\)

So, the interquartile range (IQR) for brand A is:

\(IQR=80-70\)

\(IQR=10\)

From the box plot of Brand B, it is clear that

\(Q_1=50\)

\(Median=60\)

\(Q_3=70\)

So, the interquartile range (IQR) for brand B is:

\(IQR=70-50\)

\(IQR=20\)

The median for brand A, $75, is greater than the median for brand B, $60.

The interquartile range (IQR) for brand A, $10, is less than the IQR

brand B. $20.

Therefore, the correct options are B and C.

Answer:

137 degrees

Step-by-step explanation:

if I saw the triangle I would know for sure but to find x we add the 2 equations together and set it equal to 180

(11x-28)+(5x-32)=180

Combine like terms

16x-60=180

  +60.   +60

16x=240

/16.  /16

x=15

Now to find b we fill in x with the equation from the angle

11(15)-28

165-28

137 degrees is angle b

Hopes this helps please mark brainliest

The measure of the angle B is 137 degrees option (D) is correct after applying the property of the triangle.

In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

It is given that:

In triangle ABC, m∠B = (11x − 28)° and the measure of the exterior angle to ∠B is (5x − 32)°.

(11x-28)+(5x-32)=180

16x=240

x = 15

Angle B = 11(15)-28

Angle B  = 165-28

137 degrees

Thus, the measure of angle B is 137 degrees option (D) is correct after applying the property of the triangle.

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Answer:

n= -49.6

Step-by-step explanation:

49.6 i did this test and got it right

The option that cannot have a Poisson distribution is The length of a movie. Thus, the correct answer is A.

The Poisson distribution is a discrete probability distribution that is used to describe the probability of a given number of events occurring in a fixed period of time or space if these events occur with a known constant rate and independently of the time since the last event.

In the case of the length of a movie, it is not a discrete event that can be counted, but rather a continuous measurement, so it cannot be described using the Poisson distribution.

Options b, c, and d are all discrete events that can be counted and therefore can be described using the Poisson distribution.

Thus, the correct answer is A. the length of a movie

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Answer:

80%

Step-by-step explanation:
64/80 is 0.8, 0.8 is equivalent to 80%

tell me if this is wrong please

Since Elena's distances and times for a training run are given by the equation y = 8.5x, Tyler’s pace per minute is equal to 8.2 miles per minute.

In order to determine Tyler’s pace per minute, we would have to determine the rate of change (slope).

Mathematically, the rate of change is also referred to as slope and it can be calculated by using this formula;

Rate of change (slope), m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Rate of change (slope), m = (y₂ - y₁)/(x₂ - x₁)

Next, we would determine the rate of change with respect to Tyler’s pace per minute, with the following data points (0, 0) and (1, 8.2):

Rate of change (slope), m = (0 - 8.2)/(0 - 1)

Rate of change (slope), m = -8.2/-1

Rate of change (slope), m = 8.2.

Therefore, Tyler’s pace per minute is 8.2 miles per minute.

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Complete Question:

Tyler and Elena are on the cross country team. Tyler’s distances and times for a training run are shown on the graph. Elena's distances and times for a training run are given by the equation y = 8.5x, calculate Tyler’s pace per minute.

Answer:

Surface area = 972 mm^2

Step-by-step explanation:

One of the formula we can use for surface area of a triangular prism is

SA = bh + L(s1 + s2 + s3), where

In the figure, the base (b) is 27 mm, the height (h) is 14 mm, the length (L) is 9 mm, and we can use 18, 27, and 21 for s1, s2, and 23:

SA = 27 * 14 + 9(18 + 27 + 21)

SA = 378 + 9(66)

SA = 378 + 594

SA = 972 mm^2

Thus, the surface area of the figure is 972 mm^2

Answer:

x = 6(x - 2)

Step-by-step explanation:

His age now is x.

His age 2 years ago was x - 2.

x = 6(x - 2)

Answer:

66 degrees

Step-by-step explanation:

The value of an external angle is the sum of the other two angles of the triangle of which that external triangle is sharing with.

This means that angle 4, or 123 is equal to angle 1 plus angle 3, which is 57 degrees.

We have this equation:

\(x+57=123\), where x is the value of angle 1.

Subtracting 57 from both sides, we have

\(x = 66\)

The dimensions of the rectangular play yard are 30 feet by 18 feet.

Let's assume that the length of the rectangular play yard is L and the width is W.

The perimeter of a rectangle is given by the formula: P = 2L + 2W.

According to the problem, the Browns installed 96 feet of fencing, so we have:

2L + 2W = 96 (Equation 1)

The area of a rectangle is given by the formula: A = L * W.

According to the problem, the area of the play yard is 540 square feet, so we have:

L * W = 540 (Equation 2)

To solve this system of equations, we can use substitution or elimination. Let's use substitution:

From Equation 2, we can isolate L:

L = 540 / W

Now substitute this expression for L in Equation 1:

2(540 / W) + 2W = 96

Multiply through by W to eliminate the fraction:

\(2(540) + 2W^2 = 96W\\1080 + 2W^2 = 96W\)

Rearrange the equation:

\(2W^2 - 96W + 1080 = 0\)

Divide through by 2 to simplify:

\(W^2 - 48W + 540 = 0\)

Now we can solve this quadratic equation to find the values of W, which represents the width of the play yard. Once we have the value of W, we can substitute it back into Equation 2 to find the corresponding length, L.

Using the quadratic formula:

W = (-b ± \(\sqrt{(b^2 - 4ac)}\)) / (2a)

For the equation \(W^2 - 48W + 540 = 0,\) we have a = 1, b = -48, and c = 540.

Plugging these values into the quadratic formula, we get:

W = (-(-48) ± √\(\sqrt{((-48)^2 - 4(1)(540))}\)) / (2(1))

= (48 ± \(\sqrt{(2304 - 2160)}\)) / 2

= (48 ± \(\sqrt{144}\)) / 2

= (48 ± 12) / 2

So, we have two possible values for W:

W1 = (48 + 12) / 2 = 60 / 2 = 30

W2 = (48 - 12) / 2 = 36 / 2 = 18

Now substitute these values of W back into Equation 2 to find the corresponding lengths:

For W = 30:

L = 540 / 30 = 18

For W = 18:

L = 540 / 18 = 30

Therefore, the dimensions of the rectangular play yard are 30 feet by 18 feet.

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With the help of linear equation 3 3/5+x=7 1/5, Elana ran 3 3/5 miles.

What exactly is a linear equation?

A linear equation is one in which the variable's maximum power is always 1. A one-degree equation is another name for it. A linear equation in one variable has the conventional form Ax + B = 0, for example, x-10=0. In this equation, x is a variable, A is a coefficient, and B is constant.

A linear equation in two variables has the conventional form Ax + By = C, for example, 2x-4y=10. The variables x and y are variables, the coefficients A and B are coefficients, and the constant C is a constant.

Now,

Given that Emily ran 3 3/5 miles.

and Emily and Elana together ran 7 1/5 miles

i.e. 3 3/5+x=7 1/5

where x= Miles Elana ran

then x=7 1/5 - 3 3/5

=3 3/5

hence,

      The  linear equation will be 3 3/5+x=7 1/5 and Elana ran 3 3/5 miles.

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If function y=(-x-b)(x^(2)-bx+b^(2)); then the simplified form of (dy)/(dx) is given by: -3x^2 + 4bx - 2b^2.

To find the derivative (dy)/(dx) of the function y=(-x-b)(x^2-bx+b^2), we can apply the product rule and the chain rule. Let's calculate it step by step.

First, let's expand the function: y = (-x-b)(x^2-bx+b^2) = -x^3 + bx^2 - b^2x + bx^2 - b^2x + b^3

Simplifying further: y = -x^3 + 2bx^2 - 2b^2x + b^3

Now, let's differentiate y with respect to x:

(dy)/(dx) = d/dx(-x^3 + 2bx^2 - 2b^2x + b^3) = -3x^2 + 4bx - 2b^2

Therefore, the simplified form of (dy)/(dx) is -3x^2 + 4bx - 2b^2.

The correct answer is none of the above.

If function y=(-x-b)(x^(2)-bx+b^(2)); then the simplified form of (dy)/(dx) is given by: -3x^2 + 4bx - 2b^2.

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The required method typically employed is C) Experimental design.

The probability value is utilized as a measure of the merit of the parameter selection, and the parameter set with the highest likelihood is the best option given the available data.

Experimental design is typically employed when a researcher needs to estimate the likelihood of a certain outcome.

In an experimental design, the researcher manipulates one or more independent variables to determine the effect on a dependent variable, which is the outcome being studied.

The researcher can then use this information to make an estimate of the likelihood of the outcome under different conditions. This is the most commonly used method in the natural and social sciences to determine cause-and-effect relationships and make predictions about future outcomes.

Thus, Suitable option is C)Experimental design.

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Answer:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Step-by-step explanation:

Angle 1: Same-side interior angle of Line 1

Angle 2: Same-side interior angle of Line 2

We know that the difference between the angles is 50 degrees. Since the angles are supplementary, we can write the equation:

Angle 1 + Angle 2 = 180

Now, we need to express the difference between the angles in terms of Angle 1 or Angle 2. We can choose either angle, so let's express it in terms of Angle 1:

Angle 1 - Angle 2 = 50

We can rewrite this equation as:

Angle 1 = 50 + Angle 2

Now substitute this expression for Angle 1 into the first equation:

(50 + Angle 2) + Angle 2 = 180

Combine like terms:

2Angle 2 + 50 = 180

Subtract 50 from both sides:

2Angle 2 = 130

Divide by 2:

Angle 2 = 65

Now substitute this value back into the equation for Angle 1:

Angle 1 = 50 + Angle 2

Angle 1 = 50 + 65

Angle 1 = 115

Therefore, the angles are as follows:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Answer:

7 miles per minute

Step-by-step explanation:

You add 3 to 18 then divide and then you have your answer

In the given experiment, the part that will yield discrete data is when the nurses answer "yes" or "no" to having an R.N. degree. Discrete data consists of distinct and separate values, and in this case, it is the count of nurses with an R.N. degree and those without.

There is no part of the experiment that will yield continuous data, as the experiment only involves collecting binary responses from the nurses. Continuous data usually involves measurements that can take any value within a range, but this experiment doesn't include such measurements.

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Answer:

The 4 pack is a better deal

Step-by-step explanation:

Take the price and divide by the number of rolls to get the price per roll

The 4 pack is

2.04/4 =.51 per roll

The 9 pack is

4.68/9 =.52 per roll

The 4 pack is a better deal

Answer:

4 pack

Step-by-step explanation:

We must calculate the price per roll for each pack. To do this, divide the price by the number of rolls.

4 pack

price/number of rolls

2.04 for 4 rolls.

price=2.04

rolls=4

2.04/4

0.51

It costs 0.51 per roll

9 pack

price/number of rolls

price=4.68

rolls=9

4.68/9

0.52

It costs 0.52 per roll

The better value is the lower price.  0.51 is less than 0.52, therefore the 4 pack is the better deal.

The number of beans calculated by physical counting and by calculating the number of beans could always be different unless the bean in the jar is not identical.

Given that,
To give at least one physical explanation for nay difference between the actual number of beans in the container and the number of beans determined by the experiment.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Let's assume we have 1 kg o bean in a jar but the weight of all the individual bean are not the same, that's why the number of bean in physical counting differs from the number of beans calculated from the calculation in an experiment,

Thus, the number of beans calculated by physical counting and by calculating the number of beans could always be different unless the bean in a jar is not identical.

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This is because the determinant is a measure of how much the matrix changes the area or volume of the space it is applied to, and if two columns are the same, then the matrix does not change the area or volume of the space.

According to Theorem 3 in Chapter 3, if two rows or two columns in a square matrix are the same, then the determinant of that matrix is 0. This is because the determinant is a measure of how much the matrix changes the area or volume of the space it is applied to. If two rows or two columns are the same, then the matrix does not change the area or volume of the space, so the determinant is 0.

To show this, let's consider a square matrix A with two identical rows:

A = [a1, a2, a3; a1, a2, a3; b1, b2, b3]

The determinant of A can be found using the formula:

det(A) = a1 * det([a2, a3; b2, b3]) - a2 * det([a1, a3; b1, b3]) + a3 * det([a1, a2; b1, b2])

Since the first two rows are the same, the first two determinants in this formula will be the same:

det([a2, a3; b2, b3]) = det([a1, a3; b1, b3])

So the formula simplifies to:

det(A) = a1 * det([a2, a3; b2, b3]) - a2 * det([a2, a3; b2, b3])

= (a1 - a2) * det([a2, a3; b2, b3])

Since a1 = a2, the determinant is 0:

det(A) = 0

The same is true for two identical columns. The determinant will also be 0 in that case. This is because the determinant is a measure of how much the matrix changes the area or volume of the space it is applied to, and if two columns are the same, then the matrix does not change the area or volume of the space.

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The correct answer is Using numerical integration techniques:Approximation using the Trapezoidal Rule (t10) is approximately [2.763211].Approximation using the Midpoint Rule (m10) is approximately [2.079728].Approximation using Simpson's Rule (s10) is approximately [2.094395].

To approximate the values of t10, m10, and s10 for the integral 0 to 8 sin(x) dx, we can use numerical integration techniques, such as the Trapezoidal Rule, Midpoint Rule, and Simpson's Rule.

Trapezoidal Rule (t10):

The Trapezoidal Rule estimates the integral by approximating the area under the curve using trapezoids. The formula for the Trapezoidal Rule is given by:

t10 = (b - a) * [(f(a) + f(b)) / 2 + ∑(f(xi))] / n

where a and b are the limits of integration (0 and 8 in this case), f(x) is the function (sin(x) in this case), xi are the equally spaced points between a and b, and n is the number of intervals.

Using n = 10, we can calculate t10:

t10 ≈ (8 - 0) * [(sin(0) + sin(8)) / 2 + ∑(sin(xi))] / 10

Midpoint Rule (m10):

The Midpoint Rule estimates the integral by approximating the area under the curve using rectangles. The formula for the Midpoint Rule is given by:

m10 = (b - a) * ∑(f(xi + h/2)) / n

where a, b, f(x), xi, and n have the same meanings as in the TrapezoidalRule, and h is the width of each interval (h = (b - a) / n).

Using n = 10, we can calculate m10:

m10 ≈ (8 - 0) * ∑(sin(xi + (8 - 0) / (2 * 10))) / 10

Simpson's Rule (s10):

Simpson's Rule estimates the integral by approximating the area using parabolic arcs. The formula for Simpson's Rule is given by:

s10 = (b - a) * [f(a) + 4 * ∑(f(xi)) + 2 * ∑(f(x2i)) + f(b)] / (3 * n)

where a, b, f(x), xi, and n have the same meanings as in the Trapezoidal Rule, and x2i represents the points with an even index.

Using n = 10, we can calculate s10:

s10 ≈ (8 - 0) * [sin(0) + 4 * ∑(sin(xi)) + 2 * ∑(sin(x2i)) + sin(8)] / (3 * 10)

By evaluating these formulas using numerical methods and rounding the results to six decimal places, you can find the approximations t10, m10, and s10 for the given integral 0 to 8 sin(x) dx.

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Answer:

3

Step-by-step explanation:

by the help of Prashant chettri

The sales price of the item is $48.

The sale price of an item that costs 60% of its original price which is $80 is $48. The original price of the item is $80, and it costs 60% of the original price. The amount of money we'll be spending is calculated as follows: 60 per cent of $80 (60/100) × $80= $48 Therefore, the sales price is $48. The percentage discount for the item is calculated as follows:$80 - $48 = $32

$32 is the amount of money saved due to the discount, which is then divided by the original price, $32/$80 = 0.4 or 40%. Thus, there was a 40% discount on the original price.

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On the interval [0, 2π], the minimum values of f(x) = 12cos^2(x) - 1 are -1, and the maximum values are 11.

To find the minimum and maximum values of the function f(x) = 12cos^2(x) - 1 on the interval [0, 2π], we need to determine the critical points and endpoints within that interval.

First, let's differentiate the function f(x) with respect to x to find the critical points. The derivative of f(x) is f'(x) = -24cos(x)sin(x).

Next, we set f'(x) equal to zero and solve for x:

-24cos(x)sin(x) = 0

This equation is satisfied when cos(x) = 0 or sin(x) = 0.

For cos(x) = 0, we have x = π/2 and x = 3π/2 as critical points.

For sin(x) = 0, we have x = 0 and x = π as critical points.

Now, we evaluate the function f(x) at these critical points and the endpoints of the interval [0, 2π]:

f(0) = 12cos^2(0) - 1 = 11

f(π/2) = 12cos^2(π/2) - 1 = -1

f(π) = 12cos^2(π) - 1 = 11

f(3π/2) = 12cos^2(3π/2) - 1 = -1

f(2π) = 12cos^2(2π) - 1 = 11

From the evaluations, we see that the minimum values of f(x) are -1, occurring at x = π/2 and x = 3π/2, while the maximum values are 11, occurring at x = 0, x = π, and x = 2π.

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Answer:

neither of these options are right I think

The minutes that Maria will take to get to school, given her constant speed on the bicycle is G. 24 minutes

Maria is riding her bicycle to school at a rate of 15 miles per hour. The distance to her school however, is only 6 miles.

This means that the time she will take to get to school is:

= Distance / Speed

= 6 / 15

= 0.4 hours

In minutes, this is:

= Number of hours  x minutes per hour

= 0.4 x 60

= 24 minutes

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The mean of the data-set changes the most adding the outlier observation, as it is given by the sum of all values divided by the number of values, while the median is the middle value of the data-set.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations, which is also called the cardinality of the data-set.

The mean is influenced by all values of the data-set, while the median is given by the middle value of the data-set, not being influenced by outliers such as the observation of 15 in the context of this problem, hence the mean is changed the most.

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An equation that can  can be used to find the number of sales Luke made this week is; 191 + 16.55x = ¹/₃(573 + 49.65x)

We are told to represent the number of sales as x.

Now, Luke works at a store and earns a fixed amount of $191 plus $16.55 per sale. This is represented as; 191 + 16.55x

Noah works at a different store and earns a fixed amount of $573 plus $49.65 per sale. This is represented as; 573 + 49.65x

We are told that they both made the same number of sales but Luke earned a third of what Noah earned. Thus;

191 + 16.55x = ¹/₃(573 + 49.65x)

An equation that can  can be used to find the number of sales Luke made this week is;

191 + 16.55x = ¹/₃(573 + 49.65x)

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The fifth term of the arithmetic sequence is -1190.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. To find the fifth term, we can use the formula for the nth term of an arithmetic sequence:

aₙ = a₁ + (n - 1) * d

where aₙ represents the nth term, a₁ is the first term, n is the position of the term, and d is the common difference.

Given that the 100th term is -1240 and the common difference is -25, we can substitute these values into the formula.

Since the fifth term corresponds to n = 5, we can calculate:

a₅ = -1240 + (5 - 1) * (-25)

= -1240 + 4 * (-25)

= -1240 - 100

= -1340

Therefore, the fifth term of the arithmetic sequence is -1190.

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