Beverly ran six miles at the speed of four miles per hour . how long did it take her to run that distance ?

Answer:

3.5

Step-by-step explanation:

Answer:

circle graph and bar graph

Step-by-step explanation:

they visualize because they are not simply just words, they make colorful graphs

The numerical value of the slope for the least squares regression line

is -2.95.

What is slope?

In mathematics, slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for every unit change in the independent variable.

To find the slope for the least-squares regression line, we need to use the formula: slope = r * (SDy / SDx)

where r is the correlation coefficient, SDy is the standard deviation of the y-values, and SDx is the standard deviation of the x-values.

To calculate the slope, we first need to calculate the mean and standard deviation of the weight (x) and tail length (y) values.

x-bar = (20.8 + 19.1 + 15.9 + 16.7 + 15.7) / 5 = 17.64

y-bar = (82.5 + 82.5 + 67.0 + 70.5 + 73.5) / 5 = 75

Using these values, we can calculate the standard deviations:

SDx = sqrt(((20.8 - 17.64)² + (19.1 - 17.64)² + (15.9 - 17.64)² + (16.7 - 17.64)² + (15.7 - 17.64)²) / 4) = 2.066

SDy = sqrt(((82.5 - 75)² + (82.5 - 75)² + (67 - 75)² + (70.5 - 75)² + (73.5 - 75)²) / 4) = 6.889

Next, we need to calculate the correlation coefficient (r).

r = [((20.8-17.64) * (82.5-75)) + ((19.1-17.64) * (82.5-75)) + ((15.9-17.64) * (67-75)) + ((16.7-17.64) * (70.5-75)) + ((15.7-17.64) * (73.5-75))] / [sqrt(((20.8-17.64)² + (19.1-17.64)² + (15.9-17.64)² + (16.7-17.64)² + (15.7-17.64)²) * ((82.5-75)² + (82.5-75)² + (67-75)² + (70.5-75)² + (73.5-75)²))]

r = -0.883

Now we can calculate the slope:

slope = r * (SDy / SDx) = -0.883 * (6.889 / 2.066) = -2.95

Therefore, the numerical value of the slope for the least squares regression line is -2.95.

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Answer:

Step-by-step explanation:

The cost of the skirt and blouse after the discount would be -

$52.8 and $56.1 respectively.

Given is that Laura has bought a skirt and a blouse for 66 euros, both had the same price but they have given her a 20% discount on the skirt and only 15% on the blouse.

The cost skirt would be -

${x} = 66 - {20% of 66}

${x} = 66 - {20/100 x 66}

${x} = 66 - {66/5}

${x} = 66 - 13.2

${x} = 52.8

The cost of blouse would be -

${y} = 66 - {15% of 66}

${y} = 66 - {15/100 x 66}

${y} = 66 - {3/20 x 66}

${y} = 66 - 9.9

${y} = 56.1

Therefore, the cost of the skirt and blouse after the discount would be -

$52.8 and $56.1 respectively.

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{Question in english -

Laura has bought a skirt and a blouse for 66 euros, both had the same price but they have given her a 20% discount on the skirt and only 15% on the blouse. How much did each item cost??

\(\sqrt{75x^2 y}\\\\=\sqrt{75} \cdot x\sqrt y\\\\=\sqrt{25 \times 3} \cdot x\sqrt y\\\\=5\sqrt 3 \cdot x \sqrt y\)

The equation of the tangent line is y = -x + 3 and the equation of the normal line is y = x - 1.

Given the equation 2x³ + 2y³ = 9xy

To find the tangent line at point (2,1), we need to find the derivative of the equation:

6x² + 6y²dy/dx - 9y - 9xydy/dx = 0

Solving for dy/dx, we get:

dy/dx = (9y - 6x²)/(6y² - 9x)

At point (2,1), x = 2 and y = 1.

Substituting these values in the above equation, we get:

dy/dx = (9 - 24)/(6 - 18)dy/dx = -1

The slope of the tangent line is -1 at point (2,1).

Now, we can use the point-slope form of a line to find the equation of the tangent line:

y - 1 = -1(x - 2)

y = -x + 3

The slope of the normal line is the negative reciprocal of the slope of the tangent line.

Hence, the slope of the normal line is 1.

Using the point-slope form of a line, the equation of the normal line at point (2,1) is:

y - 1 = 1(x - 2)

y = x - 1

Therefore, the equation of the tangent line is y = -x + 3 and the equation of the normal line is y = x - 1.

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Answer:

The awnser in the first option. A

The probability: (a) P(A U B) = P(A) + P(B) = 0.3 + 0.6 = 0.9. (b) P(A|B) = 0 since A and B are mutually exclusive.

(a) When A and B are independent, the probability of the union of A and B (P(A U B)) is equal to the sum of the probabilities of A and B, since the events are independent, meaning that the occurrence of one does not affect the probability of the other occurring. Therefore, P(A U B) = P(A) + P(B), which in this case is 0.3 + 0.6 = 0.9.

(b) When A and B are mutually exclusive, the probability of A given B (P(A|B)) is equal to zero, since the events are mutually exclusive, meaning that they cannot occur at the same time. Therefore, P(A|B) = 0.

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Answer:

3/5

Step-by-step explanation:

1/2=2/4

2+1=3

1+4=5

3/5

There are 15 cards with numbers from 1 to 15 written on them. Event A is choosing a multiple of 5, which includes the numbers 5 and 10. Event B is choosing an even number, which includes the numbers 2, 4, 6, 8, 10, 12, and 14.

First, we need to determine the number of cards that correspond to each event:

Event A: Multiples of 5 in the range 1-15 are 5 and 10. So, there are 2 cards that correspond to event A.

Event B: Even numbers in the range 1-15 are 2, 4, 6, 8, 10, 12, and 14. So, there are 7 cards that correspond to event B.

To find the probability of choosing a multiple of 5 or an even number, we need to add the probabilities of the two events and subtract the probability of their intersection:

P(A or B) = P(A) + P(B) - P(A and B)

The probability of event A is 2/15, the probability of event B is 7/15. To find the probability of their intersection, we need to determine how many cards satisfy both events. The only card that satisfies both events is 10. Therefore, P(A and B) = 1/15.

Plugging these values into the formula, we get:

P(A or B) = 2/15 + 7/15 - 1/15 = 8/15

Therefore, the probability of choosing a multiple of 5 or an even number is 8/15.

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A congruent polygon refers to two or more polygons that have the same shape and size. There must be an equal number of sides between two polygons for them to be congruent.

Congruent polygons have parallel sides of equal length and parallel angles of similar magnitude. When two polygons are congruent, they can be superimposed on one another using translations, rotations, and reflections without affecting their appearance or dimensions. Concluding about the matching sides, shapes, angles, and other geometric properties of congruent polygons allows us to draw conclusions about them.

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The phenomenon of being able to determine the true probabilities of events using a large number of trials is known as the law of large numbers.

The Law of Large Numbers states that in the long run, as the number of trials or observations increases, the observed relative frequencies of events will converge to the true probabilities.

It suggests that when an experiment is repeated a large number of times, the average or expected relative frequency of an event will approach its theoretical probability.

In other words, although the true probabilities of events cannot be determined with certainty based on a small number of trials, repeated trials or observations will result in more accurate and predictable relative frequencies.

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There are two main subtypes of quantitative data, which are discrete data and continuous data. Each subtype has different techniques for analysis.

1. Discrete data: This type of data represents whole numbers or counts that can only take specific values. Examples include the number of students in a class or the number of cars in a parking lot. Techniques used to analyze discrete data include:
  a. Frequency distribution: A summary of the number of times each value appears in the dataset.

 b. Measures of central tendency: Calculating the mean, median, and mode of the dataset to understand its central point.

 c. Measures of dispersion: Assessing the range, variance, and standard deviation to understand the spread of the data.

2. Continuous data: This type of data represents measurements that can take any value within a range, such as height, weight, or temperature. Techniques used to analyze continuous data include:

 a. Histogram: A graphical representation of the distribution of the data, using bars to represent the frequency of values within specific intervals.

  b. Probability density function: A mathematical function that describes the probability of a continuous random variable falling within a specific range.

  c. Regression analysis: A statistical method for analyzing the relationship between a dependent variable and one or more independent variables.

Both discrete and continuous data can also be analyzed using inferential statistics, such as hypothesis testing and confidence intervals, to make inferences about a population based on a sample of the data.

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Answer:

Formula of reflection the y axis is

P(x,y)→P'(-x,y)

Now

By using formula

E(1,3)=E'(-1,3)

F(1,0)=F'(-1,0)

P(4,2)=P'(-4,2)

R(2,0)=R'(-2,0)

Step-by-step explanation:

The lake activity with a central angle of 46.8° is waterskiing.

In mathematics, an angle is a measure of the amount of turn between two lines or line segments that share a common endpoint, known as the vertex of the angle. Angles are usually measured in degrees or radians, with one degree representing 1/360th of a full turn, and one radian representing the angle formed when the arc length of a circle is equal to the radius.

There are several types of angles, including acute angles, which measure less than 90 degrees; right angles, which measure exactly 90 degrees and form the corners of squares and rectangles; obtuse angles, which measure greater than 90 degrees but less than 180 degrees; and straight angles, which measure exactly 180 degrees and form a straight line.

Angles can be added, subtracted, multiplied, and divided using a variety of formulas and rules. For example, when two angles are added together, the sum of their measures is equal to the measure of the larger angle formed by their two sides. When two angles are subtracted, the difference of their measures is equal to the measure of the angle formed by the remaining two sides.

To find which lake activity has a central angle of 46.8°, we need to first calculate the total number of campers surveyed:

Total number of campers = 15 + 11 + 7 + 13 + 54 = 100

Next, we can calculate the central angle for each activity using the formula:

Central angle = (Number of campers for activity / Total number of campers) x 360°

Using this formula, we get:

Therefore, the lake activity with a central angle of 46.8° is waterskiing.

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Answer:

Not all the means are equal.

Step-by-step explanation:

In an ANOVA table, a sum of squares for the independent variable divided by its respective degrees of freedom.

So if the omnibus null hypothesis is rejected it means that there is sufficient evidence to conclude that not all the means are equal.

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If the omnibus null hypothesis is rejected in a one-factor ANOVA, then, we can conclude that at least one of the population means is different from at least one other population mean.

ANOVA table gives us the total sum of squares ( TSS ), the residual sum of squares ( RSS ) and the estimated sum of squares ( ESS ).

It establishes the relation that:

ESS + RSS = TSS.

If we reject the omnibus null hypothesis, then it means that:

at least one of the population means is different from at least one other population mean.

Therefore, we get that, if the omnibus null hypothesis is rejected in a one-factor ANOVA, then, we can conclude that at least one of the population means is different from at least one other population mean.

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Step-by-step explanation:

well you can distribute the sqrt(15x) to the (√3x + √5) and then combine the radicals using the product property of radicals: \(\sqrt[n]{a} * \sqrt[n]{b} = \sqrt[n]{ab}\).

\((\sqrt{3x} + \sqrt{5})\sqrt{15x} + 2\sqrt{30}\\(\sqrt{3x} * \sqrt{15x}) + (\sqrt{5} * \sqrt{15x}) + 2\sqrt{30}\\\sqrt{45x^2} + \sqrt{75x} + 2\sqrt{30}\\\)

Now we can simplify the radicals using the same property we used to combine them but instead of combining into one radical we'll separate them into two radicals where one of the radicals simplifies into a number without a radical

\((\sqrt{9} * \sqrt{x^2} * \sqrt{5}) + (\sqrt{25} * \sqrt{3x}) + 2\sqrt{30}\\3x\sqrt{5} + 5\sqrt{3x} + 2\sqrt{30}\)

Answer:

Well  the answer would be 3 inches to figure it fully out my best guess is 3

Step-by-step explanation:

A diagram that shows the graph of \(y= 2e^{x}\) include the following: A. graph A.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x) = a(b)^x\)

Where:

Next, we would determine the y-intercept when x = 0 as follows;

\(y= 2e^{x}\\\\y= 2e^{0}\)

y = 2

By critically observing each of the graphs, we can reasonably infer and logically deduce that the only graph that has a y-intercept of (0, 2) is graph A.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The failure of beta cells to function can result in a condition called diabetes mellitus.

Beta cells are specialized cells located in the pancreas that produce and release insulin. A hormone responsible for regulating blood sugar levels. When beta cells fail to function properly, it can lead to two main types of diabetes:

1. Type 1 Diabetes: In this autoimmune disease, the immune system mistakenly attacks and destroys the beta cells in the pancreas, resulting in little to no insulin production.

Without sufficient insulin, glucose (sugar) cannot enter the body's cells for energy, leading to high blood sugar levels.

2. Type 2 Diabetes: This form of diabetes is characterized by insulin resistance, where the body's cells become less responsive to the effects of insulin.

Over time, the beta cells may also fail to produce enough insulin to compensate for the increased demand. Type 2 diabetes is often associated with factors such as obesity, sedentary lifestyle, and genetic predisposition.

The failure of beta cells to function properly disrupts the normal regulation of blood sugar, leading to elevated glucose levels and potential complications associated with diabetes.

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Answer:  see below

Step-by-step explanation:

Use the Exponential function: y = a(b)ˣ   where

\(\underline{\text{Australia:}}\\y=19,169,000(1.006)^5\\=\large\boxed{19,751,012}\\\\\\\underline{\text{China:}}\\y=1,261,832,000(1.009)^5\\=\large\boxed{1,319,645,764}\\\\\\\underline{\text{Mexico:}}\\y=100,350,000(1.018)^5\\=\large\boxed{109,712,539}\\\\\\\underline{\text{Zaire:}}\\y=51,965,000(1.031)^5\\=\large\boxed{60,534,681}\)

Answer

Picture too blurry

Step-by-step explanation:

The running time of fib3 is an efficient algorithm that can be used in various applications that require the computation of the Fibonacci sequence.

Fibonacci sequence is a well-known sequence in mathematics that is defined as a series of numbers in which each number is the sum of the two preceding ones, starting from 0 and 1. The Fibonacci sequence has many applications in computer science, including the design and analysis of algorithms. One of the algorithms that use the Fibonacci sequence is the fib3 algorithm, which computes the nth Fibonacci number in O(log n) time complexity.

To prove that the running time of fib3 is O(m(n)), we need to show that the growth rate of the running time of fib3 is smaller than or equal to the growth rate of m(n), where m(n) is the time complexity of an arbitrary algorithm that solves the same problem as fib3.

Since fib3 has a logarithmic time complexity, its growth rate is much smaller than the growth rate of m(n), which is usually exponential or polynomial. Therefore, we can say that the running time of fib3 is indeed O(m(n)).

In conclusion, we have shown that the running time of fib3 is bounded by the time complexity of an arbitrary algorithm that solves the same problem, which is m(n). This implies that fib3 is an efficient algorithm that can be used in various applications that require the computation of the Fibonacci sequence.

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Answer:

-4

Step-by-step explanation:

Subtract 1 - 5 = -4...

Since 1 is less than 5, we know that the difference is negative, so we can rewrite this expression as -(5-1).

5 - 1 = 4, so - (5-1) = -4.

Answer:

1-(5) is 1-5 = -4

Step-by-step explanation:

one subtracted by 5 will offer an negative number, -4.

The integral for f(x) on the interval [5,10] is 2.

The value of k that will make f(x) a probability density function, we need to ensure that the integral of f(x) over the given interval is equal to 1.
So, we have:
∫ [5,10] f(x) dx = 1
Substituting f(x) = kx,

We get:
∫ [5,10] kx dx = 1
Integrating, we get:
[0.5 kx2] from x = 5 to x = 10 = 1
Substituting the limits of integration,

We get:
0.5 k(102 - 10) = 1
Simplifying, we get:
0.5 k(100 - 25) = 1
Copy code
37.5k = 1
makefile
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k = \(\frac{1}{37.5}\)

k = 0.02667
Therefore,

The value of k that will make f(x) a probability density function on the interval [5,10] is 0.02667.
The integral for f(x) on the interval [5,10] is:
Sax = ∫ [5,10] f(x) dx
Sax = ∫ [5,10] 0.02667x dx
Sax = 0.02667 * [0.5 \(x^2\)] from x = 5 to x = 10
Sax = 0.02667 * (0.5 * \(10^2\) - 0.5 * \(5^2\))
Sax = 0.2667 * 75
Sax = 2
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Answer:

5.75 feet tall

Step-by-step explanation: