What is a major area of jurisdiction for local law enforcement agencies

The common factor for 13%, 0.125, 1/5, and 10% is that they can be expressed as fractions with denominators of 100.

All of the numbers can be converted to fractions with a denominator of 100.

To convert 13% to a fraction with a denominator of 100, we need to divide 13 by 100, which gives us 0.13.

To convert 0.125 to a fraction with a denominator of 100, we multiply both the numerator and denominator by 100 to get 12.5/100.

To convert 1/5 to a fraction with a denominator of 100, we multiply the numerator and denominator by 20, which gives us 20/100.

To convert 10% to a fraction with a denominator of 100, we divide 10 by 100, which gives us 0.1.

To know more about denominators visit:

https://brainly.com/question/32621096

#SPJ11

Answers to all the questions using binomial distribution are shown below.

To answer all the questions using binomial distribution:

(A) The binomial distribution will be roughly normally distributed if the following conditions are satisfied:

Given that;

Test whether the conditions are satisfied:

Since the conditions are satisfied, the distribution is approximately normal.

(B) Calculate mean and standard deviation of binomial distribution:

Now use normal approximation:

(C)

Therefore, answer to all the questions using binomial distribution are shown below.

Know more about Binomial distribution here:

https://brainly.com/question/9325204

#SPJ4

The complete question is given below:

Medical treatment will cure about  87% of all people who suffer from a certain eye disorder. Suppose a large medical clinic treats 57 people with this disorder. Let r be a random variable that represents the number of people that will recover. The clinic wants a probability distribution for r.

A. Write a brief but complete description in which you explain why the normal approximation to the binomial would apply. Are the assumptions satisfied? Explain.

b. Estimate P(r≤47).

c. Estimate P(47≤r≤55).

Answer:

Not a function

Step-by-step explanation:

If you use the line/ pencil test ***I think that's what it's called...

you put a pencil flat on the graph and if it touches more than one point, it is not a function. This only works with some graphs.But it works with this one.  

The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

For more such questions on triangles, click on:

https://brainly.com/question/17335144

#SPJ8

Answer:

.65625

Step-by-step explanation:

Answer:

The answer is 15

Step-by-step explanation:

Answer:

2 for every 1 dime

Step-by-step explanation:

a nickel is 5 cents and a dime is 10

Let's start by defining some variables: Let x be the airspeed of the first plane in kilometers per hour.
Then the airspeed of the second plane is x+80 km/h.

Let t be the time in hours that the first plane flies before the second plane starts.
After two hours, the first plane has flown for t+2 hours, and the second plane has flown for t hours. To solve for the airspeeds, we need to use the formula: distance = rate x time.

The distance the planes fly in opposite directions is the sum of the distances each plane flies:
distance = (x)(t+2) + (x+80)(t), We are told that after two hours, the planes are 3165 kilometers apart, so we can set up an equation: 3165 = (x)(t+2) + (x+80)(t).

Simplifying this equation:
3165 = xt + 2x + xt + 80t + 80
3165 = 2xt + 82t + 2x + 80
3165 = 2t(x+40) + 2x + 80
3085 = 2t(x+40) + 2x

Now we can solve for x:
3085 = 2t(x+40) + 2x
3085 = 2tx + 80t + 2x
3085 = 4tx + 80t
38.5625 = tx + 20t
1.928125 = x + 20

So the airspeed of the first plane is x = 1.928125 - 20 = 18.071875 km/h.
The airspeed of the second plane is x+80 = 18.071875 + 80 = 98.071875 km/h. Let's denote the airspeed of the first plane as x km/h and the airspeed of the second plane as (x + 80) km/h.


Since the planes fly in opposite directions, the sum of the distances they travel is equal to the distance between them, which is 3165 km. Therefore, we can write the equation: 2x + 1.5(x + 80) = 3165

Now we can find the airspeed of the second plane: x + 80 = 870 + 80 = 950 km/h, So, the first plane's airspeed is 870 km/h and the second plane's airspeed is 950 km/h.

To know more about variable click here

brainly.com/question/2466865

#SPJ11

A state space representation for the system can be obtained using the Partial Fraction Expansion (PFE) method. A state feedback controller can be designed to achieve 20.79% overshoot and a settling time of 4 seconds, with the third closed loop pole at s = -6. The range of the third closed loop pole should be chosen to approximate the system's response to that of a second-order system. The closed-loop transfer function of the system can be determined. The steady-state error due to a unit step input can be calculated.

(a) To obtain a state space representation using PFE, we express the open-loop transfer function G(s) in partial fraction form, and then determine the matrices A, B, C, and D for the state space representation.

(b) To design a state feedback controller for 20.79% overshoot and a settling time of 4 seconds, we can use pole placement techniques. By placing the third closed-loop pole at s = -6, we can calculate the desired feedback gain matrix K to achieve the desired response.

(c) The range of the third closed-loop pole can be determined by analyzing the desired system response characteristics. Generally, for a second-order system approximation, the damping ratio and natural frequency are crucial. By choosing appropriate values for the third closed-loop pole, we can approximate the system response to that of a second-order system.

(d) The closed-loop transfer function of the system can be obtained by combining the open-loop transfer function G(s) with the feedback controller transfer function.

(e) The steady-state error due to a unit step input can be calculated using the final value theorem. By evaluating the limit of the closed-loop transfer function as s approaches zero, the steady-state error can be determined.

LEARN MORE ABOUT Partial Fraction Expansion here: brainly.com/question/31707489

#SPJ11

To find the side lengths of a triangle using angles, you can employ trigonometric ratios like sine, cosine, and tangent

To find the side lengths of a triangle using angles, you can follow these steps:

Identify the given information: Determine which angles are known and which angles are unknown. Let's assume you have the measures of angles A, B, and C.

Apply the angle sum property: In a triangle, the sum of the interior angles is always 180 degrees. So, if you have the measures of two angles, you can find the measure of the third angle by subtracting the sum of the known angles from 180 degrees.

Determine the relationship between angles and side lengths: In a triangle, the lengths of the sides are related to the angles through the trigonometric ratios. The most common ratios are sine (sin), cosine (cos), and tangent (tan).

Use the trigonometric ratios: Depending on the given information, you can use the appropriate trigonometric ratio to find the side lengths. For example:

If you know an angle and the length of the side opposite to that angle, you can use the sine ratio: sin(A) = opposite/hypotenuse.

If you know an angle and the length of the adjacent side, you can use the cosine ratio: cos(A) = adjacent/hypotenuse.

If you know an angle and the lengths of the two sides that form that angle, you can use the tangent ratio: tan(A) = opposite/adjacent.

Solve for the unknown side lengths: Once you have the trigonometric equation involving an angle and side lengths, you can solve for the unknown side length using algebraic manipulations or a calculator.

Repeat these steps for the other angles to find the lengths of the remaining sides. Remember to consider the units of measurement (degrees or radians) and apply the appropriate trigonometric functions based on the given information.

To know more about triangle:

https://brainly.com/question/2773823

#SPJ4

The bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.

What are scientific notations?

Scientific notations are a way of representing either a very small or a very large number in the powers of 10. Scientific notations comprise digits from 1 to 9 with powers of 10.

Calculation of the amount by which a bacterial cell is smaller than the amoeba cell

Given the length of amoeba cell in scientific notations is 3.5 × 10^(- 4)

The length of a bacterial cell in scientific notations is 5 × 10^(- 6)

To obtain how small the bacterial cell is from the amoeba cell, we need to divide both the lengths i.e.

= 3.5 × 10^(- 4) / 5 × 10^(- 6)

= 0.7 × 10^(2)

= 7 × 10^(1)

Hence, the bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.

To learn more about the scientific notations, visit here:

https://brainly.com/question/10401258

#SPJ4

The statement is false because in a Poisson distribution, the probability of success does not vary from trial to trial.

The Poisson distribution is a discrete probability distribution that describes the number of times an event occurs in a fixed time interval or spatial region, given the average rate of occurrence and assuming that the events are independent and random.

The Poisson distribution has only one parameter, λ, which represents the average rate of occurrence of the event.

The probability of observing k events in the interval is given by the Poisson probability mass function:

P(k) = (e^(-λ) * λ^k) / k!

where e is the base of the natural logarithm, and k is a non-negative integer.

The Poisson distribution assumes that the probability of observing an event at any given point in time or space is constant, and that the events are independent of each other.

To know more about Poisson distribution refer here:

https://brainly.com/question/30388228#

#SPJ11

Answer:

45° ; 27 students

Step-by-step explanation:

Answer:

-34........................

Answer:

120

Step-by-step explanation:

Don't know if this is a joke, but have a great day regardless!

Answer:

\(y = \frac{7}{6} x\)

Step-by-step explanation:

Slope-intercept form is

\(y = mx + b\)

Where m = slope,

and b = y-intercept.

The problem states that the slope is \(\frac{7}{6}\), and it also states that one point on the line is the origin. (0, 0)

Because the origin crosses the y-axis at point 0, we know that the y-intercept is 0.

All that's left to do is plug these values into the slope formula.

\(y = \frac{7}{6} x + 0\)

We can then simplify the equation even more.

\(y = \frac{7}{6} x\)

Answer:

£6368

Step-by-step explanation:

You can start by making a formula, which will be:

100/100=1

1.5/100=0.015

1+0.015=1.015 (your multiplyer)

6000*1.015^n= your money after 4 years

(n represents the number of years)

Now you just put in the number of years:

6000*1.015^4=6368.181304

Now round:

Answed= £6368

We use the Serial Autocorrelation in the classical linear regression model.

In the classical linear regression model the serial autocorrelation is assumed to solve the problem.

Hence, we use the Serial Autocorrelation in the classical linear regression model.

Learn more about Linear Regression here https://brainly.com/question/25987747

#SPJ4

If the expression is  10x2-18x-4.:

a. The greatest common factor of the expression 10x^2 - 18x - 4 is 2.

b. The expression 10x^2 - 18x - 4 can be factored completely as: 10x^2 - 18x - 4 = 2(5x + 1)(x - 2)

C.  the factoring from Part B is correct.

Part A: To find the greatest common factor of the expression 10x^2 - 18x - 4, we need to find the largest factor that divides all three terms of the expression evenly. One way to do this is to factor out the greatest common factor using the distributive property.

10x^2 - 18x - 4 = 2(5x^2 - 9x - 2)

Now, we need to factor the expression inside the parentheses further to see if we can find any additional common factors.

5x^2 - 9x - 2 can be factored using the quadratic formula, but it does not have any common factors other than 1.

Therefore, the greatest common factor of the expression 10x^2 - 18x - 4 is 2.

Part B: To factor the expression completely, we can start by using the greatest common factor of 2.

10x^2 - 18x - 4 = 2(5x^2 - 9x - 2)

Next, we need to factor the expression 5x^2 - 9x - 2 further. We can use the factoring method of product and sum:

The product of 5 and -2 is -10, and the sum of the factors that multiply to -10 and add to -9 is -10 and 1.

So, we can write 5x^2 - 9x - 2 as:

5x^2 - 10x + x - 2

= 5x(x - 2) + 1(x - 2)

= (5x + 1)(x - 2)

Therefore, the expression 10x^2 - 18x - 4 can be factored completely as:

10x^2 - 18x - 4 = 2(5x + 1)(x - 2)

Part C: To check our factoring from Part B, we can multiply the factors using the distributive property and simplify:

2(5x + 1)(x - 2) = 2(5x)(x) + 2(5x)(-2) + 2(1)(x) + 2(1)(-2)

= 10x^2 - 20x + 2x - 4

= 10x^2 - 18x - 4

Therefore, the factoring from Part B is correct.

Learn more about  greatest common factor here:https://brainly.com/question/219464

#SPJ1

The total number of ways there are to order the numbers 1 through 50 so that 17 occurs first in the ordering and 11 does not occur last in the ordering are :

49! - 48!

To find out how many ways there are to order the numbers 1 through 50 so that 17 occurs first in the ordering and 11 does not occur last in the ordering, follow these steps:

1. Since 17 must be first, there are 49 remaining numbers (2 to 50, excluding 17) to order.
2. There are 49! (49 factorial) ways to order these remaining numbers.
3. However, we must subtract the cases where 11 occurs last in the ordering. In those cases, there would be 48 remaining numbers (excluding 17 and 11) to order, resulting in 48! (48 factorial) ways.
4. Therefore, the total number of ways to order the numbers as required is 49! - 48!.

So, there are 49! - 48! ways to order the numbers 1 through 50 so that 17 occurs first in the ordering and 11 does not occur last in the ordering.

To learn more about factorial visit : https://brainly.com/question/25997932

#SPJ11

The  probability that the first Democrat the reporter finds is the 7th person interviewed is approximately 0.006.

Therefore, the correct answer is option (a) 0.006.

To solve this problem, we can use the concept of a geometric distribution. The probability of finding the first Democrat on the 7th person interviewed is equal to the probability of finding six non-Democrats followed by a Democrat.

The probability of randomly selecting a non-Democrat is (1 - 0.60) = 0.40, since 60% are Democrats. Therefore, the probability of selecting six non-Democrats in a row is (0.40)^6.

The probability of selecting a Democrat on the 7th person is 0.60.

Now, we multiply these probabilities together: (0.40)^6 * 0.60 = 0.0064.

Thus, the probability that the first Democrat the reporter finds is the 7th person interviewed is approximately 0.006.

Therefore, the correct answer is option (a) 0.006.

Visit to know more about Probability:-

brainly.com/question/24756209
#SPJ11

The correct options are: Polygon P is similar to polygon P′ and The angle measurements of polygon P are equal to the corresponding angle measurements of polygon P′

The dilation of a figure is enlargement or reduction of its original image to final image by a certain scale factor.

Given that, Polygon P is dilated from the origin by a scale factor other than 1 to create polygon P′

We know that, in dilation, both figures are similar not congruent, because they get enhanced or reduced by a certain scale factor, if scale factor is 1 then they can be congruent also.

Since, both figure are similar, therefore, their corresponding angles are congruent.

Hence, correct options are ; Polygon P is similar to polygon P′ and The angle measurements of polygon P are equal to the corresponding angle measurements of polygon P′.

For more references on dilation, click;

https://brainly.com/question/13176891

#SPJ1

There is a profit made of $1,191.

To determine whether there is a profit or loss, we need to calculate the total cost and subtract it from the revenue. The total cost is the sum of fixed cost and variable costs.

Total cost = Fixed cost + Variable costs
Total cost = $8,041 + $1,545
Total cost = $9,586

Profit or Loss = Revenue - Total cost
Profit or Loss = $10,777 - $9,586
Profit or Loss = $1,191

Since the result is a positive number, we can conclude that  there is a profit of $1,191.

More examples of  questions of profits and losses can be obtained here: https://brainly.com/question/20369156

#SPJ11

The correct option is a) (x + y) (y + z). Given the output function F in sum-of-minterms form as F = (0, 1, 2, 3, 7), we need to determine the corresponding Boolean expression for the output function.

A 3x8 decoder has three input variables (x, y, z) and eight output variables, where each output variable corresponds to a unique combination of input variables. The output variables are typically represented as minterms.

Let's analyze the given output function F = (0, 1, 2, 3, 7). The minterms represent the outputs that are equal to 1. By observing the minterms, we can deduce the corresponding Boolean expression.

From the minterms, we can see that the output is equal to 1 when x = 0, y = 0, z = 0 or x = 0, y = 0, z = 1 or x = 0, y = 1, z = 0 or x = 0, y = 1, z = 1 or x = 1, y = 1, z = 1.

By simplifying the above conditions, we get (x + y) (y + z), which is the Boolean expression corresponding to the given output function F.

In summary, the correct option is a) (x + y) (y + z).

To learn more about function, click here: brainly.com/question/11624077

#SPJ11

Answer:

0.18

Step-by-step explanation:

The given differential equation is y'' + (x - 2)y' + y = 0. It can be solved using power series expansion at x = 0 for a general solution to the given differential equation.

To find the power series expansion of the solution of the given differential equation, we can use the following steps:

Step 1: Let y(x) = Σ an xⁿ.

Step 2: Substitute y and its derivatives in the differential equation: y'' + (x - 2)y' + y = 0.

            After simplifying, we get:

            => [Σ n(n-1)an xⁿ-2] + [Σ n(n-1)an xⁿ-1] - [2Σ n an xⁿ-1] + [Σ an xⁿ] = 0.

Step 3: For this equation to hold true for all values of x, all the coefficients of the like powers of x should be zero.                                              

            Hence, we get the following recurrence relation:

            => (n+2)(n+1)an+2 + (2-n)an = 0.

Step 4: Solve the recurrence relation to find the values of the coefficients an.

            => an+2 = - (2-n)/(n+2) * an.

Step 5: Therefore, the solution of the differential equation is given by:

             => y(x) = Σ an xⁿ = a0 + a1 x + a2 x² + a3 x³ + ...

                  where, a0, a1, a2, a3, ... are arbitrary constants.

Step 6: Now we need to find the first four non-zero terms of the power series expansion of y(x) about x = 0.

            We know that at x = 0, y(x) = a0.

            Using the recurrence relation, we can write the value of a2 in terms of a0 as:

            => a2 = -1/2 * a0

            Using the recurrence relation again, we can write the value of a3 in terms of a0 and a2 as:

            => a3 = 1/3 * a2 = -1/6 * a0

Step 7: Therefore, the first four nonzero terms in a power series expansion about x = 0 for a general solution to the given differential equation are given by the below expression:

            y(x) = a0 - 1/2 * a0 x² - 1/6 * a0 x³ + 1/24 * a0 x⁴.

Hence, the answer is y(x) = a0 - 1/2 * a0 x² - 1/6 * a0 x³ + 1/24 * a0 x⁴

Learn more about differential equations:

brainly.com/question/32645495

#SPJ11

The next day Patsy have t choose between cheerleading and play practice is 17th September

To solve the problem of calculating the next day Patsy will have the events of cheerleading and school play same day, we find the lowest common multiple of the intervals of the occurrence of the two events

The interval of the events are:

cheerleading - 4th day

school play - 6th day

The Lowest common multiple of 4 and 6 is calculated to be 12

If the two events occurred on 5th September the next will on

= 5 + 12

= 17

The next time to choose between the two will be on 17th September

Learn more on Lowest common multiple at:

https://brainly.com/question/16054958

#SPJ1

Answer:1+3x+9+x+8+2x= 6x+9

so =3(x+3)

Step-by-step explanation:

Answer:

a season your welcome: ]

Answer:

Seasons shouldn't be capitalized