Use the​ magnitudes, rounded to two decimal​ places, of the 100 earthquakes included in the accompanying data set to construct a frequency distribution. Use a class width of 1. 00 and begin with a lower class limit of 0. 0.

Does the frequency distribution appear to be a normal​ distribution?


Construct the frequency distribution.

Magnitude Frequency

0. 00-0. 49 12

0. 50-0. 99 31

1. 00-1. 49 34

1. 50-1. 99 14

2. 00-2. 49

2. 50- 2. 99 2

Answer:

y=3/4x-4

Step-by-step explanation:

the y intercept is -4 and then you plug in the slope

Answer:

Yes

Step-by-step explanation:

Yes because if you insert -39 for x and 42 for y then your equation is:

42 = -39 + 81

If you were to solve this equation it would be true.

The equation y' = x + y + 1  is not seperable. Therefore the statement is false.

In mathematics, an ordinary differential equation (also known as an ODE) is an equation made up of one or more functions of a single independent variable and its derivatives. A function having one or more derivatives is a component of a differential equation.

Common differential equations are used in everyday life to compute the flow of electricity, the motion of an item back and forth like a pendulum, and to illustrate the principles of thermodynamics. Additionally, in medical terminology, they are employed to graphically monitor the progression of illnesses.

If you can express a differential equation as y′=f(x)g(y), where f(x) is only a function of x and g(y) is only a function of y, then the problem is separable. Here, it is not the situation.

But we are not limited to solving separable differential equations. We frequently use integrating factors to solve linear first-order differential equations, such as this one. Using the product rule, multiply your differential equation by an integrating factor—in this example, e—and you get (eyy)′=eyy+eyy′=eyx,

which you may integrate to get your differential equation's solution. Finding integrating factors for generic linear first-order differential equations of the type y′+p(x)y=q may be done in a general way (x).

To learn more about ordinary differential equation, click the following link:-

https://brainly.com/question/2030026

#SPJ4

The equation of the quadratic function f whose graph is shown below is x² + 6.1x + 8.2

Find the diagram attached.

First, we need to get the zeros of the required function. The point where the curve cuts the x-axis is the zeros.

According to the graph, the curve cuts the x-axis at x = -2 and x = -4.1

The required factors will be (x+2) and (x+4.1)

Taking the product of the factors

f(x) = (x+2)(x+4.1)

f(x) = x²+4.1x+2x +8.2

f(x) = x² + 6.1x + 8.2

Hence the equation of the quadratic function f whose graph is shown below is x² + 6.1x + 8.2

Learn more here: https://brainly.com/question/11286627

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

Kimtoya is riding according to the equation y = 12.5x, which is in slope-intercept form where the slope is 12.5, so her rate is 12.5.

now, Sidney's rate... hmmm we don't know, but we have her table ahaa!, well, let's use that to get the slope or rate for Sydney  let's pick two points from it hmmm say (2 , 25) and hmmm (5 , 62.5)

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{25})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{62.5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{62.5}-\stackrel{y1}{25}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{2}}}\implies \cfrac{37.5}{3}\implies 12.5\)

holy molly!, whaddaya know, they're both riding at the same rate, 12.5 km/hr

Answer:

575 minutes

Step-by-step explanation:

this is  a systems of equations problem

2 plans, 2 equations

Scenario 1:

$23 is a mandatory fee, 11 cents per minute

x=23+0.11m (x= total cost, m= minutes called)

Scenario 2:

There is no mandatory fee, but there is a higer 15 cents per minute

x=0.15m (y=total cost, m=minutes called)

Set them equal to each other because you want to know when they become equal

23+0.11m=0.15m

23=0.04m

m=575

Answer:

Plan 1: 65 minutes, Plan 2: 201 minutes

Step-by-step explanation:

Not sure if this is the answer that you need but here is the math that i did..

Plan 1: $23 + $0.11/min

$0.11 x 65 minutes will give you a total of $7.15 + the inital $23 = $30.15

Plan 2: $0 + $0.15/min

$0.15 × 201 minutes will give you a total of $30.15

I hope this helps!

The area of the region cut from the first quadrant by the cardioid is 3π/8 +1

A cardioid is a two-dimensional plane figure that has a heart-shaped curve. The equation of cardioid is r = a(1 ± sinθ) .

The area of the polar function can be calculated if the boundary condition that form the reason is given or can be found from the given information now we use the formula using the polar formula of the area as:

\(A = \int\limits^b_a {\frac{r^{2}}{2}} d\theta\)

The Area of the region cut from the first quadrant by cardioid,

\(A = \int\limits^\frac{\pi}{2}_0 {\frac{r^{2}}{2}} d\theta\)

Substituting r = 1 + sin ∅

\(A = \int\limits^\frac{\pi}{2}_0 {\frac{(1+ sin\theta)^{2}}{2}} d\theta\)

Opening square ,

\(A = \frac{1}{2}\int\limits^\frac{\pi}{2}_0 {1 +2sin\theta + sin^{2}\theta d\theta\)

=> \(A = [ \frac{1}{2} (\theta - 2cos\theta + \frac{1}{2} (\theta - \frac{1}{2}sin2\theta))]^\frac{1}{2}_{0}\)

=> 3π / 8 - (-1)

=> 3π/8 +1

To know more about Cardioid here

https://brainly.com/question/12075566

#SPJ4

a)There are 749,398 ways to choose three dozen croissants.

b)There are 1,013 ways to choose two dozen croissants with no more than two broccoli croissants.

c) There are 4,186 ways to choose two dozen croissants with at least five chocolate croissants and at least three almond croissants.

To solve the given problems, we can use combinations and counting techniques. Let's break down each problem:

a) To choose three dozen croissants, we need to select a total of 36 croissants from the available types. Since each type has an infinite supply, we can select any number of croissants from each type.

This is equivalent to distributing 36 identical objects (croissants) into 6 distinct groups (types of croissants). We can use the stars and bars technique to solve this.

Using the stars and bars formula, the number of ways to distribute 36 croissants among 6 types is:

C(36 + 6 - 1, 6 - 1) = C(41, 5) = 749,398

Therefore, there are 749,398 ways to choose three dozen croissants.

b) To choose two dozen croissants with no more than two broccoli croissants, we can consider different cases:

- 0 broccoli croissants: Choose 24 croissants from the remaining 5 types (excluding broccoli).

- 1 broccoli croissant: Choose 23 croissants from the remaining 5 types.

- 2 broccoli croissants: Choose 22 croissants from the remaining 5 types.

The total number of ways to choose two dozen croissants with no more than two broccoli croissants is the sum of these cases:

C(24, 5) + C(23, 5) + C(22, 5) = 425 + 336 + 252 = 1,013

Therefore, there are 1,013 ways to choose two dozen croissants with no more than two broccoli croissants.

c) To choose two dozen croissants with at least five chocolate croissants and at least three almond croissants, we can again consider different cases:

- 5 chocolate croissants and 3 almond croissants: Choose 16 croissants from the remaining 4 types (excluding chocolate and almond).

- 6 chocolate croissants and 3 almond croissants: Choose 15 croissants from the remaining 4 types.

- 7 chocolate croissants and 3 almond croissants: Choose 14 croissants from the remaining 4 types.

The total number of ways to choose two dozen croissants with the given conditions is the sum of these cases:

C(16, 4) + C(15, 4) + C(14, 4) = 1820 + 1365 + 1001 = 4,186

Therefore, there are 4,186 ways to choose two dozen croissants with at least five chocolate croissants and at least three almond croissants.

To know more about croissants refer here:

https://brainly.com/question/32309406#

#SPJ11

Answer:

he is using at least 1,237 minutes a month

Step-by-step explanation:

15+0.06m ≥ 89.22

m ≥ 1,237

The exact solutions to the trigonometric equation 2 sin²(x) + sin(x) = 0 are: x = nπ, -π/6, -5π/6, where n is an integer.

To find the exact solutions of the trigonometric equation 2 sin²(x) + sin(x) = 0, we can factor out sin(x) from the equation:

sin(x) * (2sin(x) + 1) = 0

Now, we set each factor equal to zero and solve for x:

sin(x) = 0

This equation is true when x is equal to nπ, where n is an integer.

Next, we solve the equation:

2sin(x) + 1 = 0

Subtracting 1 from both sides:

2sin(x) = -1

Dividing by 2:

sin(x) = -1/2

The solutions to this equation can be found using the unit circle or reference angles. The angles where sin(x) is equal to -1/2 are -π/6 and -5π/6.

Therefore, the exact solutions to the trigonometric equation 2 sin²(x) + sin(x) = 0 are:

x = nπ, -π/6, -5π/6

where n is an integer.

To know more about Trigonometry:

brainly.com/question/17081568

#SPJ4

Answer:

\(71.33\) degree

Step-by-step explanation:

The angle between the bottom of the ladder and the ground is given by

\(cos\alpha = \frac{B}{L}\)

Where

B = distance between wall of house and the foot of ladder

L = Length of the ladder

Substituting the given values we get -

\(Cos \alpha = \frac{8}{25}\\Cos \alpha = 0.32\\\alpha = Cos^{-1}(0.32)\\\alpha = 71.33\)

a would the compound inequality have infinite solutions if a = 4

x < 4 AND x > a.

if a = 4 and we use an "or" instead of the "and" we have:

x < 4 or x > 4.

This is:

"x is larger than 4 or smaller than 4."

Then the solution of this is all the real numbers except the value x = 4.

The set of solutions can be written as:

{xI x ∈ R  \ [4]}

Where this reads:

"x belongs to the set of the reals minus the number 4".

Or we also could write it as:

x ∈ (-∞, 4) ∪ (4, ∞)

Where we have two open ends in the "4" side, so the value x = 4 does not belong to that set.

To learn more about Compound Inequality visit :

https://brainly.com/question/13589585

#SPJ9

Answer:

The correct answer is C

Step-by-step explanation:

Answer:

Its C

Step-by-step explanation:

I did the test correct me if I am wrong

To build the wall in 10 days, we would need 40 workers.

To solve this problem, we can use the concept of man-days, which represents the total amount of work done by a worker in a day. Let's denote the number of workers needed to build the wall in 10 days as N.

Given that 16 workers can build the wall in 25 days, we can calculate the total man-days required to build the wall using the formula:

Total man-days = Number of workers × Number of days

For the first case, with 16 workers and 25 days:

Total man-days = 16 workers × 25 days = 400 man-days

Now, let's consider the second case, where we need to determine the number of workers required to build the wall in 10 days:

Total man-days = N workers × 10 days

Since the amount of work to be done (total man-days) remains the same, we can equate the two equations:

400 man-days = N workers × 10 days

To find the value of N, we rearrange the equation:

N workers = 400 man-days / 10 days

N workers = 40 workers

Therefore, to build the wall in 10 days, we would need 40 workers.

for such more question on total amount

https://brainly.com/question/25109150

#SPJ8

Answer:

209.43951 round to the nearest tenth is 209.44

Step-by-step explanation:

A cone with a base radius of 5 units and a height of 8 units has a volume of 209.44 cubed units.

If a cone has a flat bottom, meaning the height and radius meet at right angles, then this formula can be used to find of volume ('V') of that cone (also know as a right circular cone):

V = 1/3(PI*r squared * h )

The volume of a cone can be calculated by taking one-third of the result of the radius squared, multiplied by the height, multiplied by the mathematical constant pi.

Here is a step-by-step case that illustrates how to find to volume of a cone with a radius of 2 feet and a height of 3 feet. Note that in order to save space (and because pi cannot be determine precisely) a limited number of decimal places are used, the symbol ~ denotes that this answer is an approximation.

V = 1/3(pi * r^2 * h)

= 1/3(pi * 2^2 * 3)

= 1/3(pi * 12)

= 1/3(37.7)

~ 12.6 cubic feet

Hope this helps!!

Answer:

f(3)=12 should be the answer

Step-by-step explanation:

replace x with 3 and solve

Answer:

3/8 gal

Step-by-step explanation:

\(5\frac{1}{4} \times \frac{1}{6} = \frac{21}{4} \times \frac{1}{6} = \frac{21}{24} = \frac{3}{8} \)

Answer:

24/100 written in decimal form is .24

16% written as a decimal is .16

.24 would be greatest i believe

Step-by-step explanation:

24/100 is in the 100th place so your decimal would be 0.24

16% is also in the 100th place so .16 :)

The answer is 1,571 cm3

(D) "Every real number is either 0 or less" best describes the range of the function.

The collection of potential output values for a function is known as its range.

For instance, the range is the non-negative real numbers for the function f(x)=x2 on the domain of all real numbers (x∈R), which may be represented as f(x)≥0 (or [0,∞) using interval notation).

So, every y-coordinate in a function is negated when it is reflected across the x-axis.

Our y-values in the initial function will all be positive.

All of the y-values will be negative when this is reflected across the x-axis, resulting in a range of y-values that are less than or equal to 0.

Therefore, (D) "every real number is either 0 or less" best describes the range of the function.

Know more about the range of the function here:

https://brainly.com/question/7954282

#SPJ1

Complete question:
Which best describes the range of the function f(x) = 2/3(6)x after it has been reflected over the x-axis?

A. all real numbers

B. all real numbers less than 0

C. all real numbers greater than 0

D. all real numbers less than or equal to 0

The correct answer is "all real numbers less than or equal to 0."

What is Range of function?

The range of a function is the set of all possible output values that the function can produce. When a function is reflected over the x-axis, the sign of its output values (i.e., positive or negative) is reversed.

For the function f(x) = Two-thirds(6)x, the range consists of all real numbers greater than or equal to 0.

When this function is reflected over the x-axis, the range will consist of all real numbers less than or equal to 0.

Therefore, The correct answer is "all real numbers less than or equal to 0."

To know more about Range of function visit,

https://brainly.com/question/28801359

#SPJ1

Complete Question -

Which best describes the range of the function f(x) = 2/3(6)x after it has been reflected over the x-axis?

A. all real numbers

B. all real numbers less than 0

C. all real numbers greater than 0

D. all real numbers less than or equal to 0

Answer:

1. Using the jug 6 times and the bucket 3 times

2. Using the bucket 6 times, then using the jug two times

Step-by-step explanation:

Firstly, let’s remember that 1000 ml = 1l

Thus 2L = 2000 ml

And 15L = 15,000 ml

So the situation we are having now is that we want to fill a barrel of 15,000 ml using a jug of 1500 ml and a bucket with a capacity of 2000 ml

Firstly, the first way is using the bucket 6 times and the jug 2 times

What i mean by this is using the bucket 6 times bringing the total volume from the bucket as (6* 2000) = 12,000 ml

Then we are left with 15,000-12,000 = 3,000 ml

Now, she can fill the barrel with 2 times the full volume of the jug making 3,000

Secondly, she can also use the combination of both.

She can use the bucket 6 times and the jug 2 times

The total volume in each case here would be;

For the bucket; (2,000 * 6) = 12,000 ml

while for the jug, we have (1500 * 2) = 3,000 ml

And thus we shall be having a total of 12,000 + 3,000 = 15,000 ml this way

Hypothesis testing is a powerful statistical tool that enables us to determine whether the collected data is consistent with what is stated in the null hypothesis.

Hypothesis testing is a statistical method that allows us to determine whether the collected data is consistent with what is stated in the null hypothesis. The null hypothesis is a statement that assumes there is no significant difference between two groups or two variables being compared.

In contrast, the alternative hypothesis is the opposite of the null hypothesis, and it assumes that there is a significant difference between the two groups or variables being compared.

To test a hypothesis, we start by formulating the null hypothesis and the alternative hypothesis. Then, we collect data that is relevant to the hypothesis being tested. Next, we use statistical tests to analyze the data and calculate the probability of obtaining the observed results under the null hypothesis.

for such more question on Hypothesis testing

https://brainly.com/question/14587073

#SPJ11

Option D 13 dollars per hour

By forming and solving equations, we know that the speed of the runner is 4 miles per hour.

So, we need to form an equation to get the speed of the runner:

'x' is the speed of the runner. Now, solve for x as follows:

Therefore, by forming and solving equations, we know that the speed of the runner is 4 miles per hour.

Know more about equations here:

https://brainly.com/question/28937794

#SPJ1

Answer: \(4\sqrt{154\pi}\)

Step-by-step explanation:

\(A=\pi r^2\\\\616=\pi r^2\\\\r^2 =\frac{616}{\pi}\\\\r=\sqrt{\frac{616}{\pi}}\\\\\\\\\\C=2\pi r\\\\C=2\pi \sqrt{\frac{616}{\pi}}\\\\C=4\sqrt{154\pi}\)

The expression fails to compute the area of a triangle having base b and height h is (1.0 /2.0)*b*h.

Therefore the answer is A.

The correct expression to compute the area of a triangle having base b and height h is (1/2) * b * h, or equivalently, 0.5 * b * h.

Expression A is incorrect because it uses floating-point division, which may result in round-off errors or inaccuracies in the computation.

Expression B is the correct expression because it uses integer division and the division by 2 is clear.

Expression C is also correct because it uses floating-point division and the division by 2.0 is clear.

Therefore, both expressions B and C are correct, and expression D is a correct equivalent form of B and C.

To know more on floating-point division

https://brainly.com/question/28462275

#SPJ4

--The question is incomplete, answering to the question below--

"which expression fails to compute the area of a triangle having base b and height h (area is one-half base time height)?

A. (1.0 /2.0)*b*h

B. (1 /2)*b*h

C. (b*h)/2.0

D. 0.5*b*h"

For a function with the shape of y = 22 but reflected across the x-axis and shifted right 6 units, the equation would be:
y = -22(x - 6)

to write equations for these functions with the given characteristics:

a) For a function with the shape of y = 22 but reflected across the x-axis and shifted right 6 units, the equation would be:

y = -22(x - 6)

b) For a function with the shape of y = √a but reflected across the y-axis and shifted down 1 unit, the equation would be:

y = -√(-a) - 1

c) For a function with the shape of y = x/9 but shifted to the left 3 units and shifted down 5 units, the equation would be:

y = (x + 3)/9 - 5

to learn more about equations click here:

brainly.com/question/12788590

#SPJ11