NO LINKS!! URGENT HELP PLEASE!!!

4. What is a regular polygon?

5. For a regular pentagon, (NOT MULTIPLE CHOICE),
a. Find the measure of a single interior angle.
b. Find the measure of a single exterior angle.

6. The measure of the interior angle of a regular polygon is 162°. How many sides does it have?

Answers

Answer 1
4. A regular polygon is a polygon that has all sides of equal length and all angles of equal measure. In other words, it is a polygon with both equal sides and equal angles.

5. For a regular pentagon:
a. The measure of a single interior angle can be found using the formula: (n - 2) * 180° / n, where n represents the number of sides of the polygon. For a pentagon, n = 5. Plugging the values into the formula:
Single interior angle = (5 - 2) * 180° / 5 = 3 * 180° / 5 = 540° / 5 = 108°

b. The measure of a single exterior angle in a regular polygon can be found by subtracting the measure of the corresponding interior angle from 180°.
Single exterior angle = 180° - Single interior angle = 180° - 108° = 72°

6. If the measure of the interior angle of a regular polygon is 162°, we can use the formula for the measure of a single interior angle: (n - 2) * 180° / n = 162°, where n represents the number of sides of the polygon.

Solving for n:
(n - 2) * 180° / n = 162°
Multiplying both sides by n:
(n - 2) * 180° = 162° * n
Distributing:
180°n - 360° = 162°n
Subtracting 180°n from both sides:
-360° = -18°n
Dividing both sides by -18°:
n = 20

Therefore, the regular polygon with an interior angle of 162° has 20 sides.



Star answer please ?
Answer 2

Answer:

4.
A regular polygon is a polygon in which all sides are equal in length and all angles are equal in measure.

5.

a. The measure of a single interior angle in a regular pentagon is:
[(n – 2)*180°]/n = 540°/5 = 108°.

b. The measure of a single exterior angle in a regular pentagon is:
360°/n = 360°/5 = 72°.

6.
This can be found using the following formula:

[(n – 2)*180°]/n = Interior angle

(n-2)*180=162°*n

180n-360=162n

180n-162n=360

18n=360

n=360/18

n=20

where n is the number of sides in the regular polygon.

A regular polygon with an interior angle of 162° has 20 sides.


Related Questions

A container holds 2 pounds of peanuts. How many ounces of peanuts are in the container? (1 pound = 16 ounces)

16 ounces
32 ounces
36 ounces
40 ounces '
PLEASEEE HELPPP

Answers

Answer is 32 ounces. If 1 pound =16 ounces, and the container holds 2 pounds, it’s just two times the 1pound =16 ounces

me movement o
Which choice shows (3+9) + 13 correctly rewritten using the associative property and then
correctly simplified?
O 13+(3+9) = 13 + 12 = 25
13+(9+ 3) = 13 + 12 = 25
O 3+ (91+3) = 3 +94 = 97
O 3+ (9+13) = 3 +22= 25

Answers

(3+9) + 13 correctly rewritten using the associative property and then correctly simplified is 13+(9+3) = 13 + 12 = 25.

1. Start with the expression (3+9) + 13.

2. According to the associative property of addition, we can group the numbers in any order without changing the result.

3. Rearrange the expression by grouping the numbers differently: (9+3) + 13.

4. Now simplify the grouped numbers: 9+3 = 12.

5. The expression becomes 12 + 13.

6. Finally, simplify the addition: 12 + 13 = 25.

Therefore, the correct rewritten expression using the associative property and the simplified result is 13+(9+3) = 13 + 12 = 25.

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i need help!!!! does anyone know this..!!???

Answers

The period of oscillation is 3 seconds

What is period of oscillation?

A Oscillation is the periodic change of a measure around a central value or between two or more states, usually in time.

The time taken for an oscillating particle to complete one cycle of oscillation is known as the Period of oscillating particle. It is measured in seconds

Oscillation can also be vibration or revolution or cycle.

Therefore, using the graph to determine the period. Then the wave particle made a complete oscillation at 3 second.

This means that the period of the particle is 3 seconds.

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NO LINKS!! URGENT HELP PLEASE!!

Answers

Answer:

a. 5π cm

b. 144π in²

c. 6 ft

Step-by-step explanation:

a.

The circumference of a circle is given by:

Circumference pf circle= πd

where d is the diameter.

In this case, d = 5 cm,

Therefore, Circumference of circle = π*5=5π cm

b.

The area of a circle is given by:
Area of circle=πr²,

where r is the radius. In this case, the diameter is d = 24 in,

so, the radius is r = d/2 = 24/2=12in

Therefore, Area of circle=π*12²=144π in²

c.

The area of a circle is given by:

Area of circle=πr²,

where r is the radius. In this case, Area is 36π ft²

Now substituting value

36π=πr²

dividing both side by π, we get

36=r²

[tex]r=\sqrt{36}=6[/tex]

r=6 ft.

Therefore, Radius is 6 ft.

This example using cluster sampling, how do we know whether these estimates are considered valid?

Answers

The estimates are not correct because we are to find the proportion and sample error of the given values. The proportion expresses the number of opposing votes to the total number of voters. Also, the sampling error follows the formula of [tex]SE = Z\sqrt{P(1 - P/n)}[/tex]

                                                                     

The right estimate to use

The exact formula used in the expression is quite different from the standard formula for calculating the standard error. We are supposed to find the root of the standard deviation but that is not the case as can be seen in the formula above.

So, the main issue with this formula is that the square root is not considered in the proportion formula used by the council, so it is not a valid estimate.

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i need help!!!! does anyone know this..!!???

Answers

The period of the frequency factor b that is given in the diagram above would be = 0.2 sec.

How to determine the period of the frequency factor b given above?

The frequency of a water wave is defined as the number of times the wave completes a cycle within a given period of time. While the period is the time it takes for the completion of a cycle.

The dot the represents the frequency factor b is the green dot on the wave table. Therefore the period as traced from the graph= 0.2 sec.

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How to make 1001 from nine 9. Use can use 9 in any way

Answers

Using the given operations and nine 9s, you can make 1001.

How to make 1001 from nine 9. Use can use 9 in any way

To make 1001 using nine 9s, you can use the following mathematical operations:

1. (9 + 9 + 9) * 9 * 9 - 9 - 9 - 9 = 1001

- Adding three 9s together: (9 + 9 + 9) = 27

- Multiplying the sum by two 9s: (27 * 9 * 9) = 2187

- Subtracting three 9s: (2187 - 9 - 9 - 9) = 2160

- Adding one 9: (2160 + 9) = 2169

- Adding 832 (which is (9 * 9 * 9 + 9 * 9 + 9)) to 2169: (2169 + 832) = 3001

- Subtracting two 9s: (3001 - 9 - 9) = 2983

- Adding nine 9s: (2983 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9) = 1001

Therefore, using the given operations and nine 9s, you can make 1001.

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See Picture:
Given :
Prove :​

Answers

Answer:

statmen there for this should me solved and abcd are proof

reason bcz this is not equal square

A grocery store owner polled ten customers to determine how many times they went to the grocery store in April. The results of his poll are shown below.
12,9,4,8,25,6,8,5,18,13
Determine the appropriate shape of the distribution.

A. The data does not show a latter

B. Left skewed

C. Symmetrical

D. Right skewed

Answers

Answer:

D. Right skewed

Step-by-step explanation:

To determine the shape of the distribution, we can examine the given data:

12, 9, 4, 8, 25, 6, 8, 5, 18, 13

One way to determine the shape of the distribution is by visualizing it using a histogram or a box plot. However, without the exact frequency of each value, we cannot create an accurate visual representation.

Alternatively, we can examine the skewness of the distribution. Skewness is a measure of the asymmetry of a distribution. If the data is skewed to the left, it is left-skewed or negatively skewed. If it is skewed to the right, it is right-skewed or positively skewed. If the data is symmetric and evenly distributed, it is considered a symmetrical distribution.

Let's calculate the skewness of the given data to determine the shape:

Skewness = (3 * (mean - median)) / standard deviation

First, let's calculate the mean, median, and standard deviation of the data:

Mean = (12 + 9 + 4 + 8 + 25 + 6 + 8 + 5 + 18 + 13) / 10 = 10.8

Median = the middle value when the data is arranged in ascending order:

4, 5, 6, 8, 8, 9, 12, 13, 18, 25

Median = (8 + 9) / 2 = 8.5

Next, let's calculate the standard deviation:

Step 1: Calculate the squared differences from the mean for each value:

(12 - 10.8)^2, (9 - 10.8)^2, (4 - 10.8)^2, (8 - 10.8)^2, (25 - 10.8)^2, (6 - 10.8)^2, (8 - 10.8)^2, (5 - 10.8)^2, (18 - 10.8)^2, (13 - 10.8)^2

Step 2: Calculate the sum of squared differences:

(1.44 + 2.88 + 45.76 + 8.64 + 228.01 + 22.09 + 8.64 + 32.49 + 47.04 + 4.84) = 411.73

Step 3: Calculate the variance:

Variance = sum of squared differences / (n - 1) = 411.73 / (10 - 1) = 45.75

Step 4: Calculate the standard deviation:

Standard deviation = square root of variance = √45.75 = 6.76 (approximately)

Now we can calculate the skewness:

Skewness = (3 * (mean - median)) / standard deviation

Skewness = (3 * (10.8 - 8.5)) / 6.76

Skewness = 6.4 / 6.76

Skewness ≈ 0.95

Since the skewness is positive (0.95), the data is right-skewed or positively skewed. Therefore, the appropriate shape of the distribution is:

D. Right skewed

If the mass of a proton is 1.67 × 10-24 gram, what is the mass of 2,000 protons?

Answers

Answer:

3.34 * 10^-21 g

Step-by-step explanation:

1.67*10^-24 * 2000 = 1.67 * 10^-24 * 2 *10^3 = 3.34 * 10^-21 g

Pls help I need this answer now

Answers

Answer:

The correct answer is A. As x increases, the rate of change of f(x) exceeds the rate of change of g(x)

Step-by-step explanation:

Suppose you have entered a 48-mile biathlon that consists of a run and a bicycle race. During your run, your average
velocity is 5 miles per hour, and during your bicycle race, your average velocity is 23 miles per hour. You finish the race
in 6 hours. What is the distance of the run? What is the distance of the bicycle race?
The distance of the run is miles.

Answers

The distance of the bicycle race is approximately 24.61 miles.

Let's assume the distance of the run is 'x' miles and the distance of the bicycle race is 'y' miles.

We know that average velocity is equal to the total distance divided by the total time taken.

We can use this information to form two equations based on the given average velocities and total time.

For the run:

Average velocity = Distance of the run / Time taken for the run

5 mph = x miles / T hours ---(Equation 1)

For the bicycle race:

Average velocity = Distance of the bicycle race / Time taken for the bicycle race

23 mph = y miles / (6 - T) hours ---(Equation 2)

Since the total time for the race is 6 hours, we can substitute (6 - T) for the time taken during the bicycle race.

Now, we can solve these equations simultaneously to find the values of 'x' and 'y'.

From Equation 1, we have:

5T = x

From Equation 2, we have:

23(6 - T) = y

Now, we substitute the value of 'x' in terms of 'T' from Equation 1 into Equation 2:

23(6 - T) = 5T

138 - 23T = 5T

138 = 28T

T = 138 / 28

T ≈ 4.93 hours

Substituting this value back into Equation 1, we can find 'x':

5(4.93) = x

x ≈ 24.65 miles

Therefore, the distance of the run is approximately 24.65 miles.

To find the distance of the bicycle race, we substitute the value of 'T' back into Equation 2:

23(6 - 4.93) = y

23(1.07) = y

y ≈ 24.61 miles

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Find the center and radius of the circle represented by the equation below.

Answers

Answer:

centre = (5, - 6 ) , radius = 7

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

given

x² + y² - 10x + 12y + 12 = 0 ( subtract 12 from both sides )

x² + y² - 10x + 12y = - 12 ( collect terms in x/ y )

x² - 10x + y² + 12y = - 12

using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(- 5)x + 25 + y² + 2(6)y + 36 = - 12 + 25 + 36

(x - 5)² + (y + 6)² = 49 = 7² ← in standard form

with centre (5, - 6 ) and radius = 7

Answer:

Center = (5, -6)

Radius = 7

Step-by-step explanation:

To find the center and the radius of the circle represented by the given equation, rewrite the equation in standard form by completing the square.

To complete the square, begin by moving the constant to the right side of the equation and collecting like terms on the left side of the equation:

[tex]x^2-10x+y^2+12y=-12[/tex]

Add the square of half the coefficient of the term in x and the term in y to both sides of the equation:

[tex]x^2-10x+\left(\dfrac{-10}{2}\right)^2+y^2+12y+\left(\dfrac{12}{2}\right)^2=-12+\left(\dfrac{-10}{2}\right)^2+\left(\dfrac{12}{2}\right)^2[/tex]

Simplify:

[tex]x^2-10x+(-5)^2+y^2+12y+(6)^2=-12+(-5)^2+(6)^2[/tex]

       [tex]x^2-10x+25+y^2+12y+36=-12+25+36[/tex]

       [tex]x^2-10x+25+y^2+12y+36=49[/tex]

Factor the perfect square trinomials on the left side:

[tex](x-5)^2+(y+6)^2=49[/tex]

The standard equation of a circle is:

[tex]\boxed{(x-h)^2+(y-k)^2=r^2}[/tex]

where:

(h, k) is the center.r is the radius.

Comparing this with the rewritten given equation, we get

[tex]h = 5[/tex][tex]k = -6[/tex][tex]r^2 = 49 \implies r=7[/tex]

Therefore, the center of the circle is (5, -6) and its radius is r = 7.

According to the Committee for the Study of the American Electorate, the voter turnout in the 2004 presidential election was higher in all but four states than it was in the 2000 election. The four states with lower voter turnout are listed below.

Answers

According to the Committee for the Study of the American Electorate, the four states with lower voter turnout in the 2004 presidential election compared to the 2000 election were Arkansas, Hawaii, Maryland, and Tennessee.

In the 2004 presidential election, voter turnout increased in most states compared to the 2000 election. However, Arkansas, Hawaii, Maryland, and Tennessee experienced a decrease in voter participation. This means that fewer eligible voters in these states cast their ballots in the 2004 election compared to the previous one.

The reasons behind the lower voter turnout in these states could vary and might be influenced by factors such as changes in voter registration laws, campaign strategies, voter demographics, or the overall political climate in each state during that particular election cycle.

It is worth noting that while voter turnout increased in most states, overall voter participation in the United States has been historically lower compared to some other democracies.

Efforts to increase voter engagement and turnout, such as expanding access to voting and improving voter education, continue to be important in ensuring that more eligible citizens exercise their right to vote and have their voices heard in the democratic process.

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A building contractor is building a backyard playground and wishes to put down rubber mulch to provide safety from falls. The contractor wishes to put the mulch in a pit in the shape of a rectangular solid 24 feet​ long, 13 feet​ wide, and 6 inches deep.

a) Determine the​ volume, in cubic​ feet, of mulch the contractor will need.
​b) If mulch costs 9​$ per cubic​ foot, what will the cost of mulch​ be?

Answers

Answer:

A= 220.5ft

B= $2425.5

Step-by-step explanation:

A= 220.5ft

B= $2425.5

In square $ABCD,$ $P$ is on $\overline{BC}$ such that $BP = 4$ and $PC = 1,$ and $Q$ is on $\overline{CD}$ such that $DQ = 4$ and $QC = 1.$ Find $\sin \angle PAQ.$

Answers

To find $\sin \angle PAQ,$ we can first observe that triangle $APQ$ is a right triangle since $AD$ is a diagonal of square $ABCD.$ Therefore, $\angle PAQ$ is a right angle.

We can use the Pythagorean Theorem to find the lengths of $AQ$ and $AP.$ Since $DQ = 4$ and $QC = 1,$ we have $AQ = DQ + QC = 4 + 1 = 5.$ Similarly, since $BP = 4$ and $PC = 1,$ we have $AP = BP + PC = 4 + 1 = 5.$

In a right triangle, the sine of a right angle is always $1.$ Therefore, $\sin \angle PAQ = \boxed{1}.$

Hope you understood and good luck
Final answer:

In triangle PAD, using the Pythagorean theorem, we find AD = 5√2. Given that ∠PAQ's opposite side is PQ, which equals 3, we have sin∠PAQ = PQ/AQ = √2/10.

Explanation:

In square ABCD, we are given that points P and Q are on lines BC and CD respectively such that BP=4 and PC=1, DQ=4 and QC=1. Considering triangle PAD, it is a right triangle in the given square, and, using the Pythagorean theorem, we can find the hypotenuse AD as AD = √(5² + 5²) = 5√2. The same reasoning, AD = AQ.

Because ∠PAQ is the angle we are interested in finding the sine of, we know that sin∠PAQ = opposite/hypotenuse. In this case, the opposite side is PQ which we determine is 3 using the given distances (PC+QC). So, sin∠PAQ = PQ/AQ = 3/(5√2) = √2/10. Thus, the sine of angle PAQ is √2/10.

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Which expression is equivalent to (f + g) (4)?
• ¡(4) + g(4)
• f(x) + g(4)
• ¡(4 + g(4))
• 4(f(x) + g(x))

Answers

The correct expression that is equivalent to (f + g) (4) is: f(4) + g(4).

The expression (f + g) (4) represents the sum of two functions, f(x) and g(x), evaluated at x = 4. To find the equivalent expression, we need to simplify it.

In (f + g) (4), the parentheses indicate that the addition operation is performed first, adding the functions f(x) and g(x) together. Then, the resulting sum is evaluated at x = 4. So, the expression simplifies to f(4) + g(4), where we substitute x with 4 in both functions.

The other options provided:

• ¡(4) + g(4): This option is not correct because the negation operator (!) applied to a value does not make sense in this context.

• f(x) + g(4): This option is not correct because it does not evaluate the sum of the functions at x = 4; it keeps the variable x in the expression.

• ¡(4 + g(4)): This option is not correct because it applies the negation operator to the sum of 4 and g(4), which is not equivalent to (f + g) (4).

• 4(f(x) + g(x)): This option is not correct because it introduces a constant factor of 4 to the sum of the functions, which is not equivalent to (f + g) (4).

The correct expression equivalent to (f + g) (4) is f(4) + g(4).

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This option is not equivalent to (f + g)(4).

The expression (f + g)(4) specifically represents the sum of functions f and g evaluated at x = 4.

To determine which expression is equivalent to (f + g)(4), let's break it down step by step.

The expression (f + g)(4) represents the value obtained by evaluating the sum of functions f and g at x = 4.

We substitute x = 4 into both functions and then add the results.

Let's evaluate each option to see which one matches this process:

¡(4) + g(4):

This option involves evaluating the function f at x = 4 and adding it to the value obtained by evaluating function g at x = 4.

It does not represent the sum of the functions f and g evaluated at x = 4.

This option is not equivalent to (f + g)(4).

f(x) + g(4):

This option involves adding the value of function f at an arbitrary point x to the value obtained by evaluating function g at x = 4.

It does not specifically represent the sum of functions f and g evaluated at x = 4.

This option is not equivalent to (f + g)(4).

¡(4 + g(4)):

This option involves evaluating the function g at x = 4 and adding it to the value obtained by adding 4 to the result.

It does not represent the sum of functions f and g evaluated at x = 4.

This option is not equivalent to (f + g)(4).

4(f(x) + g(x)):

This option involves evaluating the functions f and g at an arbitrary point x, summing the results and then multiplying the sum by 4.

It does not specifically represent the sum of functions f and g evaluated at x = 4.

None of the given options is equivalent to (f + g)(4).

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Can you use the ASA postulate or the AAS theorem to prove the triangles are congruent

Answers

Yes, you can use the ASA theorem to prove triangles are congruent

Can some please help me I don’t understand this?
Please due tmr morning thanks!

Answers

The numbers to complete the pythagorean triple in the equation (n² - 1)² + k² = (n² + 1)² are B. 35 and 37

What is the pythagorean triple?

A pythagorean triple is a set of 3 numbers that obey the pythagorean theorem.

Given the equation

(n² - 1)² + k² = (n² + 1)², we need to find the remaining numbers generated by the equation when k = 12. So, we proceed as follows/

Since we have the equation

(n² - 1)² + k² = (n² + 1)²

Subtracting (n² + 1)², from both sides, we have that

(n² - 1)² - (n² + 1)² + k² = (n² + 1)² - (n² + 1)²

(n² - 1)² - (n² + 1)² + k² = 0

Now, subtracting k from both sides, we have that

(n² - 1)² - (n² + 1)² + k² = 0

(n² - 1)² - (n² + 1)² + k² - k² = 0 - k²

(n² - 1)² - (n² + 1)² + 0 = - k²

(n² - 1)² - (n² + 1)² = - k²

Using the difference of two squares a² - b² = (a + b)(a - b)

(n² - 1)² - (n² + 1)² = - k²

(n² - 1 + n² + 1)[n² - 1 - (n² + 1)] = - k²

(n² + n² - 1 + 1)[n² - n² - 1 - 1)] = - k²

(2n² + 0)[0 - 2)] = - k²

(2n²)(- 2) = - k²

-4n² = - k²

4n² = k²

n² = k²/4

Taking square root of both sides, we have that

n = √(k²/4)

n = k/2

Since k = 12, we have that

n = 12/2

n = 6

So, the first number is (n² - 1) = (6² - 1)

= 36 - 1

= 35

The second number is (n² + 1) = (6² + 1)

= 36 + 1

= 37

So, the numbers are B. 35 and 37

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a/(2x - 3) + b/(3x + 4) = (x + 7)/(6x ^ 2 - x - 12)​

Answers

Answer:

[tex] \frac{a}{2x - 3} + \frac{b}{3x +4} = \frac{x + 7}{ 6{x}^{2} - x - 12} [/tex]

[tex](3x + 4)a + (2x - 3)b = x + 7[/tex]

3a + 2b = 1---->9a + 6b = 3

4a - 3b = 7---->8a - 6b = 14

--------------- ----------------

17a = 17

a = 1, b = -1

If f(x) = 16x2, what is the value of f(2.5)?

Answers

Answer:

f(2.5) = 100

Step-by-step explanation:

to evaluate f(2.5) substitute x = 2.5 into f(x)

f(2.5) = 16(2.5)² = 16 × 6.25 = 100

what is the midpoint of 70 and 90

Answers

Answer:

80

Step-by-step explanation:

Just average the two numbers to get (70+90)/2 = 160/2 = 80

Answer:

Step-by-step explanation:

To find the midpoint between two numbers, you add them together and divide the sum by 2.

In this case, the midpoint between 70 and 90 would be:

(70 + 90) / 2 = 160 / 2 = 80.

Therefore, the midpoint between 70 and 90 is 80.

a 4-foot length of ribbon costs $1.32. how much will it cost to buy 10 yards of ribbon?

Answers

Answer:

$3.3

Step-by-step explanation:

4x = 1.32

x = 0.33$ / ft

10x = 10 * 0.33 = 3.3$

please help quickly
Which two values of x are roots of the polynomial below?

Answers

the correct answers are A and C

Answer:

A, C

Step-by-step explanation:

x² + 3x - 5 = 0

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] x = \dfrac{-3 \pm \sqrt{3^2 - 4(1)(-5)}}{2(1)} [/tex]

[tex] x = \dfrac{-3 \pm \sqrt{29}}{2} [/tex]

PLS HELP ACTUAL ANSWERS

A random survey was conducted to gather information about age and employment status. The table shows the data collected.
0-17 years old 18+ years old Total
607
Has a Job
Does Not Have a Job


Total
A
B
C
240
679
What is the probability that a randomly selected student does NOT have a job, given that they are 18+ years old?
97
337
97
679
240
240
265
97
679
337
P
look at photo for reference

Answers

Answer: 337

Step-by-step explanation: it is 337 because if you subtract it all you get that

Find a function of the form or whose graph matches this one:

Answers

The function that matches the graph is of the form:

4cos((pi x)/7) + 1

Graphs of trigonometric functions

Graphs of trigonometric functions are graphs used in representing trigonometric functions.

From these graphs, some basic properties such as Amplitude, phase difference, period and vertical shift can be deduced.

From the given graph in the question, it can be seen that the graph crosses the y-axis at it's amplitude (highest point), so its easier to use the cosine relation.

To calculate the midline M:

Use the formula,

M = (maximum + minimum)/2

= (5 + -3)/2 = 2/2 = 1

Vertical shift: It can be seen from the graph that there is a vertical upward shift of 1 unit. C = 1

Amplitude: Maximum value - vertical shift is:

A = 5 - 1 = 4

Period = spacing between repeating patterns. There are 14 units between each peak (peak when x = -14, next peak when x = 0).

k = 2pi/Period;

So: k = 2pi/14 = pi/7

Therefore y = 4cos(pix/7) + 1 is the function that matches the given graph.

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(-14)+x=14[/tex] what is the answer

Answers

The equation (-14) + x = 14 is solved by adding 14 to both sides of the equation, resulting in x = 28. This means that 28 is the value of x that satisfies the equation and makes it true.

To solve the equation (-14) + x = 14, we need to isolate the variable x on one side of the equation. Let's go through the steps:

Step 1: Add 14 to both sides of the equation to eliminate the -14 on the left side.

(-14) + x + 14 = 14 + 14

x = 28

The solution to the equation (-14) + x = 14 is x = 28.

In this equation, we start with (-14) on the left side, and we want to determine the value of x that makes the equation true. To do that, we need to isolate x. By adding 14 to both sides of the equation, we cancel out the -14 on the left side, leaving us with just x. On the right side, 14 + 14 simplifies to 28.

Therefore, the solution to the equation is x = 28. This means that if we substitute 28 for x in the original equation, (-14) + 28 will indeed equal 14. Let's verify this:

(-14) + 28 = 14

14 = 14

The left side of the equation simplifies to 14, and the right side is also 14. Since both sides are equal, it confirms that x = 28 is the correct solution to the equation.

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A bacteria culture triples every 5 minutes. At 4:27 P.M. the population is . Determine what the population was 27 minutes earlier, at 4:00 P.M.

Answers

The population at 4:00 P.M., 27 minutes earlier, is[tex]3^3[/tex] times the initial population P.

To determine the population of a bacteria culture 27 minutes earlier, we need to calculate the population growth from 4:00 P.M. to 4:27 P.M. given that the bacteria culture triples every 5 minutes.

Let's break down the time period into intervals of 5 minutes:

From 4:00 P.M. to 4:05 P.M., the population triples once.

From 4:05 P.M. to 4:10 P.M., the population triples again.

From 4:10 P.M. to 4:15 P.M., the population triples for the third time.

From 4:15 P.M. to 4:20 P.M., the population triples for the fourth time.

From 4:20 P.M. to 4:25 P.M., the population triples for the fifth time.

From 4:25 P.M. to 4:27 P.M., the population undergoes partial growth.

Since the population triples every 5 minutes, we can express the population at 4:27 P.M. as 3^5 times the initial population at 4:00 P.M.

Let's denote the initial population at 4:00 P.M. as P. Then, the population at 4:27 P.M. is [tex]3^5[/tex] * P.

To find the population 27 minutes earlier, we need to reverse the growth from 4:27 P.M. to 4:00 P.M. Since the population triples every 5 minutes, we need to divide the population at 4:27 P.M. by [tex]3^{(27/5).[/tex]

Therefore, the population at 4:00 P.M., 27 minutes earlier, can be calculated as:

Population at 4:00 P.M. = (Population at 4:27 P.M.) / [tex]3^{(27/5)[/tex]

[tex]= (3^{5} * P) / 3^{(27/5)\\\\\\\\= 3^{(25/5)} * P\\= 3^5 * P / 3^2\\= 3^3 * P[/tex]

Hence, the population at 4:00 P.M., 27 minutes earlier, is 3^3 times the initial population P.

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complete the table of values for y=3/x

Answers

The table of values for the equation y = 3/x can be completed as follows:

x | y

1 | 3/1 = 3

2 | 3/2 = 1.5

3 | 3/3 = 1

4 | 3/4 = 0.75

5 | 3/5 = 0.6

To complete the table of values for the equation y = 3/x, we substitute different values of x into the equation and calculate the corresponding values of y.

When x = 1:

Substitute x = 1 into the equation: y = 3/1 = 3

So, when x = 1, y = 3.

When x = 2:

Substitute x = 2 into the equation: y = 3/2 = 1.5

So, when x = 2, y = 1.5.

When x = 3:

Substitute x = 3 into the equation: y = 3/3 = 1

So, when x = 3, y = 1.

When x = 4:

Substitute x = 4 into the equation: y = 3/4 = 0.75

So, when x = 4, y = 0.75.

When x = 5:

Substitute x = 5 into the equation: y = 3/5 = 0.6

So, when x = 5, y = 0.6.

By substituting different values of x into the equation y = 3/x, we can complete the table of values as shown above.

Hence, the completed table of values for y = 3/x is:

x | y

1 | 3

2 | 1.5

3 | 1

4 | 0.75

5 | 0.6

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A simple random sample of size n is drawn from a normally distributed population, and the mean of the sample is (x with a line over it), while the standard deviation is s. What is the 99% confidence interval for the population mean? Use the table below to help you answer the question.

Answers

The 90% confidence interval for the population variance (σ^2) is approximately [7.19, 20.19].

To construct a 90% confidence interval for the population variance (σ^2), given a sample size of 20 and a sample variance (s^2) of 12.5, we need to utilize the chi-square distribution.

The formula for constructing a confidence interval for the population variance is:

[ (n - 1)s^2 / χ^2_upper, (n - 1)s^2 / χ^2_lower ]

Where n is the sample size, s^2 is the sample variance, χ^2_upper is the upper critical value from the chi-square distribution, and χ^2_lower is the lower critical value from the chi-square distribution.

For a 90% confidence interval, we need to find the critical values from the chi-square distribution that correspond to the upper and lower tails of 5% each (since the confidence level is divided equally into two tails).

(a) Degrees of freedom:

The degrees of freedom (df) for the chi-square distribution is equal to n - 1. In this case, n = 20, so df = 20 - 1 = 19.

(b) Chi-square critical values:

We need to find the upper and lower critical values from the chi-square distribution table for df = 19 and a significance level of 0.05/2 = 0.025 (for each tail).

From the chi-square distribution table or using a statistical software, the upper critical value for a significance level of 0.025 and df = 19 is approximately 32.852. Similarly, the lower critical value is also approximately 8.907.

(c) Confidence interval calculation:

Substituting the values into the formula, we can construct the confidence interval:

[ (n - 1)s^2 / χ^2_upper, (n - 1)s^2 / χ^2_lower ]

[ (20 - 1) * 12.5 / 32.852, (20 - 1) * 12.5 / 8.907 ]

[ 19 * 12.5 / 32.852, 19 * 12.5 / 8.907 ]

[ 7.19, 20.19 ]

Therefore, the [7.19, 20.19] is roughly inside the 90% confidence interval for the population variance (2).

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Question

A simple random sample of size n is drawn from a population that is known to be normally distributed. The sample​ variance, s^2​, is determined to be 12.5.Complete parts​ (a) through​ (c).Construct a​ 90% confidence interval for

σ2 if the sample​ size, n, is 20.

Answer:

B :3

Step-by-step explanation:

good luck <3

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