Violen crimes include​ grape, robbery,​ assault, and l=lomicide. The following is a summary of the​ violent-crime rate​ (violent crimes per​ 100,000 population) for all states of a country in a certain year. Complete parts​ (a) through​ (d).
​ ​, (c) The​ violent-crime rate in a certain state of the country in that year was. Would this be an​ outlier?

The lower fence is


enter your response here crimes per​ 100,000 population.

The upper fence is


enter your response here crimes per​ 100,000 population.

Answer:

25,200

Step-by-step explanation:

First, find what 1% equals. Divide the total amount of people by 100. 105,000 divided by 100 = 1050. Multiply this by 24, because:

If 1% = 1050

To get 24% you need to multiply 1% by 24. Whatever you do to o ne side you have to do to the other.

1050 * 24 = 25,200

Therefore, the answer is 25,200 people

The unknown side lengths of the given right triangle ∆LJK where LJ 30° and JK 5 are LJ = 6, and JK = 4.

Triangle is a three-sided polygon with three angles. It is one of the basic shapes in geometry. A triangle has three sides and three angles, usually measured in degrees. The angles always add up to 180°. Triangles can be classified according to the lengths of their sides or the sizes of their angles. Types of triangles include right, acute, obtuse, scalene, isosceles, and equilateral. Triangles are also used to form more complex shapes in geometry, such as polygons and circles.

To find the unknown side lengths of a right triangle, we can use the Pythagorean Theorem. The Pythagorean Theorem states that the square of the hypotenuse (the longest side of a triangle) is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is JK and the other two sides are LJ and JK.

We can use the Pythagorean Theorem to find the unknown side length of JK. We know that the angle LJ is 30°, so we can use the sine rule to calculate the length of side LJ. The sine rule states that the ratio of the length of a side of a triangle to the sine of its opposite angle is equal for all three sides. Therefore, we can calculate the length of LJ by dividing the sine of 30° (0.5) by the length of the opposite side (JK).

We can now use the Pythagorean Theorem to calculate the length of side JK. We know that the length of LJ is 6, and the length of JK is 5. We can plug these values into the equation a2 + b2 = c2, where a is the length of LJ (6), b is the length of JK (5), and c is the hypotenuse (JK). This yields the equation 36 + b2 = c2, which simplifies to b2 = c2 - 36. Since we know that c2 = 52, we can solve for b2 by subtracting 36 from 52, which gives us 16. The square root of 16 is 4, so the length of JK is 4.

Therefore, the unknown side lengths of the given right triangle ∆LJK where LJ 30° and JK 5 are LJ = 6, and JK = 4.

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10.50 x 5 would be the expression.

The answer is $52.5

Answer:

10.50 x 5 would be the expression.

The answer is $-52.5

Step-by-step explanation:

Circumference of the cylinder :

C = 2 x pi x r

C = 2 x 3.14 x 25 = 157 cm

Multiply the circumference by number of wraps:

157 x 50 = 7,850 cm long ( 78.5 meters)

Answer:

130° and 310°

Step-by-step explanation:

the bearing of A from B is the measure of the clockwise angle from a north line at B to A

the angle at B and A are same- side interior angles and sum to 180°

angle at B = 180° - 50° = 130°

the bearing of A from B is then 130°

the bearing of B from A is the measure of the clockwise angle from the north line at A to B

the complete angle about A = 360° then clockwise angle from north line at A to B is

360° - 50° = 310°

the bearing of B from A is 310°

Answer:

It is 124 degrees.

Step-by-step explanation:

You square each coordinate like this:

sqrt(x^2+y^2 )

You will end up getting sqrt(53 and sqrt(10.

Then find the dot product which is -6+-7=-13.

Then cos^-1(-13/sqrt53*sqrt10)

=124 degrees

Answer:

Step-by-step explanation:

sin (B) = \(\frac{2}{5}\)

Answer:

10

Step-by-step explanation:

Answer:

242 ft²

Step-by-step explanation:

The shape can be decomposed to give us a trapezium and a rectangle

Area of the shape = area of the trapezium + area of the rectangle

✔️Area of the trapezium = ½(a + b)h

a = 14 ft

b = 20 ft

h = 13 - 7 = 6 ft

Area = ½(14 + 20)*6

Area of trapezium = 102 ft²

✔️Area of rectangle = L*W

L = 20 ft

W = 7 ft

Area = 20*7 = 140 ft²

✔️Area of the shape = 102 + 140 = 242 ft²

Answer:

60129540

Step-by-step explanation:

Answer

-15/4

Step-by-step explanation

Given the expression:

Substituting x = -4 and y = 4:

Answer:

x=1.816298 or x=−1.162524

Step-by-step explanation:

Step 1: Multiply both sides by x^2.

x2=x4−3x3+8x2−16

x2−(x4−3x3+8x2−16)=x4−3x3+8x2−16−(x4−3x3+8x2−16)(Subtract x^4-3x^3+8x^2-16 from both sides)

−x4+3x3−7x2+16=0

(Use quartic formula)

x=−1.162524,1.816298

Check answers. (Plug them in to make sure they work.)

x=1.816298(Works in original equation)

x=−1.162524(Works in original equation)

The measure of side length EF in the right triangle is 24.

The Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

It is expressed as;

c²  = a² + b²

From the diagram:

Hypotenuse DE = c = 26

Leg DF = a = 10

Leg EF = b = ?

Plug in the values and solve for b:

c²  = a² + b²

26²  = 10² + b²

676  = 100 + b²

b² = 676  - 100

b² = 576

b = +√576 ( we take the positive value since we are dealing with dimensions)

b = 24

Therefore, the length EF is 24.

Option C)24 is the correct answer.

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Using thie model ,The answer is D. 27.

To calculate 9÷1/3 using the model below, we can imagine dividing the green rectangle into thirds vertically. Each third would contain 3 cells.

Then, we can see that there are a total of 9 cells in the rectangle. Since we are dividing by 1/3, we need to find out how many sets of 1/3 are in 9.

We can see that there are 3 sets of 1/3 in each row (since each row contains 3 cells, which are thirds). So, in total, there are 3 rows of 3 sets of 1/3, which gives us:

9÷1/3 = 3 rows x 3 sets of 1/3 = 9 sets of 1/3 = 27

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Answer:

Step-by-step explanation:

you can divide 5 divided by 3 and your answer will be 0.6

Answer:

NOAH

Step-by-step explanation:

to solve it you would subtract 5 from both sides and THEN divide by 2

5+2x=54

2x=49

x=24.5

1. The names of the angles are: BGF & EHC - alternate interior; FHC & EGA - same-side exterior angles; FHC & EGB - alternate exterior

2. The equation is: 4x + 28 + 2x + 32 = 180; 3) x = 20; 4) m<BGF = 108°; m<EHD = 72°; m<FHD = 108°; m<EGB = 72°.

1. Angles BGF and EHC are alternate interior angles because they are on the opposite sides of the transversal.

Angles FHC and EGA are same-side exterior angles because they are on the same side of the transversal.

Angles FHC and EGB are alternate exterior angles because they are on the different sides of the transversal.

2. m<BGF + m<EHC = 180 [same-side interior angle are supplementary]

Substitute to get the equation:

4x + 28 + 2x + 32 = 180

3. Solve for x:

6x + 60 = 180

6x = 180 - 60

6x = 120

x = 20

m<BGF = 4x + 28 = 4(20) + 28

m<BGF = 108°

m<EHD = 180 - 108 = 72°

m<FHD = m<BGF [corresponding angles]

m<FHD = 108°

m<EGB = m<EHD

m<EGB = 72°

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Step-by-step explanation:

hope this helps! good luck!

Answer:

Option 2.

Step-by-step explanation:

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: \((- \infty} ,0)\) ∪ \((0, \infty} )\)

Range: \((- \infty} ,0)\)∪\((0, \infty} )\)

Explanation:

30 years = 30*12 = 360 months

If the monthly payment is $2,223.17 for 360 months, then you'll pay back a total of 2223.17*360 = 800,341.20 dollars overall.

Subtract off the amount financed, or amount loaned, to get the total interest.

800,341.20 - 275,000 = 525,341.20 is the amount of interest paid (in dollars).

This works because effectively, the total amount paid back consists of principal + interest. The principal is the amount the bank loans you.

So we could rephrase that last equation into saying

principal + interest = 275,000 + 525,341.20 = 800,341.20 = total amount paid back.

Answer:

b

Step-by-step explanation:

The slope of the linear equation y=x + 6 is 1. When with a variable with a coefficient of 1, you do not need to write out 1. If it were zero, there would be no variable in the equation. It just stands on its own without the written coefficient. 1x=x. A does not make sense because x times x is x^2. in C, as i said before, there would just be no x and the equation would be y=6. And 6 is the y-intercept since it is in the place of b of y=mx+b.

09. The total sample, 118 individuals set academic goals (regardless of gender), while 310 individuals did not set academic goals.

10. The total sample, 290 individuals have cats, while 306 individuals do not have cats. Furthermore, 312 individuals have dogs, while 284 individuals do not have dogs.

In order to find the marginal frequencies, we need to calculate the totals for each category separately.

For question 9:

The marginal frequency for "Set Academic Goals - yes" is 64 + 54 = 118. This represents the total number of individuals who answered "yes" to setting academic goals.

The marginal frequency for "Set Academic Goals - no" is 168 + 142 = 310. This represents the total number of individuals who answered "no" to setting academic goals.

The marginal frequency for "Male" is 64 + 168 = 232. This represents the total number of males.

The marginal frequency for "Female" is 54 + 142 = 196. This represents the total number of females.

Interpretation:

The marginal frequencies provide us with the total counts for each category in a contingency table. In this case, we can see that out of the total sample, 118 individuals set academic goals (regardless of gender), while 310 individuals did not set academic goals. Additionally, there were 232 males and 196 females in the sample.

For question 10:

The marginal frequency for "Cat - yes" is 104 + 186 = 290. This represents the total number of individuals who have cats.

The marginal frequency for "Cat - no" is 208 + 98 = 306. This represents the total number of individuals who do not have cats.

The marginal frequency for "Dog - yes" is 104 + 208 = 312. This represents the total number of individuals who have dogs.

The marginal frequency for "Dog - no" is 186 + 98 = 284. This represents the total number of individuals who do not have dogs.

Interpretation:

The marginal frequencies reveal the total counts for each category in the contingency table. In this case, we can observe that out of the total sample, 290 individuals have cats, while 306 individuals do not have cats. Furthermore, 312 individuals have dogs, while 284 individuals do not have dogs.

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The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.

To determine the sequence of transformations, let's break down the given function:

1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.

2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.

3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.

4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.

5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.

In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.

Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.

After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)

This example helps illustrate the effect of the transformations on the graph of the function.

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Answer: According to the provided facts, f(w), indicates the rectangle's perimeter in centimetres: 6w - 8

Step-by-step explanation:

According to the facts given, the rectangle's length is equal to 4 less than twice its breadth. Let's deconstruct it:

Size is calculated as follows: Length = 2 * Width - 4.

The sum of all the sides in a rectangle is used to determine its perimeter. In this instance, we have two sides that are the width's length and two sides that are the length's length (2 * Width - 4). As a result, the perimeter (P) is determined by:

P = (Width) + (Width) + (Width - 4)

Condensing the phrase:

P = 2 * Width plus 4 * Width minus 8.

P = Width - 8 * 6

It is possible to write the perimeter (P) function as a function of width (w) as follows:

f(w) = 6w - 8

As a result, the provided function, f(w), indicates the rectangle's perimeter in centimetres: 6w - 8