determine whether the statement describes a population or a sample. the number of times the students on your floor order fast food in a week.

Answer:

3. f(3) = 16

4. h(3) = 4

Step-by-step explanation:

3.

f(x) = x² + 7

f(3) = 3² + 7

f(3) = 16

4.

h(x) = 12/x

h(3) = 12/3

h(3) = 4

Answer:

$19

Step-by-step explanation:

$61-$25=$36-$17=$19

So, each farmer pays the following amounts: The first farmer pays 738.40 euros. The second farmer pays 443.04 euros. The third farmer pays 418.56 euros

Proportion refers to the equality of two ratios. In other words, when two ratios are set equal to each other, they form a proportion. A proportion is typically written in the form of two fractions separated by an equals sign, such as a/b = c/d. Proportions are commonly used in mathematics to solve problems involving ratios and proportions, such as finding missing values or scaling up or down a given quantity.

Here,

To find out how much each farmer pays, we need to determine the proportion of the total rent that each farmer owes based on the number of sheep they have. First, we need to find the total number of sheep:

120 + 72 + 68 = 260

The first farmer has 120 sheep, which is 46.15% of the total number of sheep (120/260). Therefore, the first farmer owes 46.15% of the rent:

0.4615 x 1600 = 738.40 euros

Similarly, the second farmer has 72 sheep, which is 27.69% of the total number of sheep (72/260). Therefore, the second farmer owes 27.69% of the rent:

0.2769 x 1600 = 443.04 euros

The third farmer has 68 sheep, which is 26.15% of the total number of sheep (68/260). Therefore, the third farmer owes 26.15% of the rent:

0.2615 x 1600 = 418.56 euros

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Complete question:

The rent of 1600 euros for a piece of land is divided among three farmers who graze their sheep there. As they do not have the same number of sheep, they decide to pay proportionally according to the number of sheep each has. If the first one has 120 sheep, the second 72, and the third 68. How much does each one pay?

The mean amount of money the insurance company can expect to lose on each policy is $142.00 with a standard deviation of $1,243.67.

What is an insurance?

Let X be the random variable representing the amount of money the insurance company will lose on a policy. Then we can calculate the expected value (mean) of X and the standard deviation of X as follows:

Expected value:

E(X) = 30,000(1/1,000) + 10,000(1/250) + 0(1 - 1/1,000 - 1/250) = $142.00

The first term in the sum corresponds to the probability of a client dying (1/1,000) multiplied by the payout ($30,000), the second term corresponds to the probability of a client becoming disabled (1/250) multiplied by the payout ($10,000), and the third term corresponds to the probability of neither event occurring (1 - 1/1,000 - 1/250).

Standard deviation:

To calculate the standard deviation, we need to find the variance of X first:

Var(X) = [30,000 - E(X)]²(1/1,000) + [10,000 - E(X)]²(1/250) + [0 - E(X)]²(1 - 1/1,000 - 1/250)

= $1,547,797.56

The first term in the sum corresponds to the squared difference between the payout for a client dying and the expected payout, multiplied by the probability of a client dying, and so on for the second and third terms.

Then, we can take the square root of the variance to find the standard deviation:

SD(X) = √[Var(X)] = $1,243.67

Therefore, the mean amount of money the insurance company can expect to lose on each policy is $142.00 with a standard deviation of $1,243.67.

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Answer:

7pi/9

Step-by-step explanation:

subtract 360 from 500 as many times as you can

number left should be converted to radians

500 - 360 = 140

140 * (pi/180) =

140Pi/180 =

simplify by dividing by 20 top & bottom

7Pi/9

varsitytutors

Answer:

160

Step-by-step explanation:

To find the population level at which the rate of population growth is maximized, we need to find the maximum value of the function R = 400p^2 - (1/5)p^3.

To do this, we can take the derivative of the function with respect to p and set it equal to 0:

R' = 800p - 3(1/5)p^2 = 0

5p = 800

p = 160

This tells us that the population level at which the rate of population growth is maximized is 160 pigeons.

To confirm that this is indeed a maximum, we can also check the second derivative of the function:

R'' = 800 - 6(1/5)p = 800 - 3p

Since the second derivative is negative when p = 160, this tells us that the function has a local maximum at p = 160. This means that the population level of 160 pigeons is indeed the population level at which the rate of population growth is maximized.

the total arc length to the nearest foot if it is rotated 125° will be 218 feet.

Diameter of the Ferris wheel = 200 feet

radius of the Ferris wheel will be = 200 / 2 = 100 feet

Now, it has travelled 125° counterclockwise.

So, the arc length travelled will be:

Arc length = 2 π r ( 125° / 360°)

Arc length = 2 (22 / 7) (100) (125 / 360)

Arc length = 218.25 feet

rounding off to the nearest whole number, we get that:

Arc length = 218 feet.

Therefore, we get that, the total arc length to the nearest foot if it is rotated 125° will be 218 feet.

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We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.

The test statistic needed to test the claim that whether a subject lies or does not lie is independent of the polygraph test indication is the chi-square statistic.

In this case, the grand total is 90. The row totals are 57 and 33, and the column totals are 42 and 48. The expected frequencies are as follows:

The chi-square statistic is calculated as 0.177. The p-value for the chi-square statistic is calculated using a chi-square table. The degrees of freedom for the chi-square table are the number of rows minus 1, multiplied by the number of columns minus 1.

Since the p-value is greater than 0.05, we fail to reject the null hypothesis. We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.

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Answer:

2.25 feet.

Step-by-step explanation:

Formula: divide the value in inches by 12 because 1 foot equals 12 inches.

So, 27 inches = 27 /12  =  2.25 feet.

The area of the enclosed shape is about 14.47 km^2.

We are given that;

056° for 9.8km and  3.5 km on a bearing of 112°

Now,

We can see that the enclosed shape is a triangle with sides 9.8 km, 3.5 km, and z km, and angles 56°, 112°, and y°. We can use the fact that the sum of angles in a triangle is 180° to find y:

y = 180° - 56° - 112°

y = 12°

Now we can use the cosine rule to find z:

z^2 = 9.8^2 + 3.5^2 - 2(9.8)(3.5)cos(12°)

z^2 ≈ 101.87

z ≈ 10.09

Therefore, Fred is about 10.09 km away from his start point.

To find the area of the enclosed triangle, we can use the sine rule to find x, the height of the triangle:

sin(56°) = x/9.8

x = 9.8 sin(56°)

x ≈ 8.27

The area of a triangle is given by half the base times the height, so:

A = (1/2)(3.5)(8.27)

A ≈ 14.47

Therefore, by trigonometric ratios the answer will be 14.47 km^2.

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Using the Pythagoras theorem, the longest leg has the length of 24 feet.

Given that,

A ladder of length (2x+6) feet is positioned x feet from a wall.

Height of the ladder = (2x + 6) feet

Distance of ladder from the wall = x feet

Height of the wall that the ladder is placed = (2x + 4) feet

These three lengths form s right triangle where (2x + 6) feet is the hypotenuse.

Longest leg is (2x + 4) feet

Using the Pythagoras theorem,

(2x + 6)² = (2x + 4)² + x²

4x² + 24x + 36 = 4x² + 16x + 16 + x²

4x² + 24x + 36 = 5x² + 16x + 16

x² - 8x - 20 = 0

(x - 10) (x + 2) = 0

x = 10 or x = -2

x = 2 is not possible.

So x = 10

Longest leg = 2x + 4 = 20 + 4 = 24 feet

Hence the length of the longest leg is 24 feet.

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Based on the maximum taxable amount for social security in 2009, and the social security tax rate, the social security tax that Larry paid was $7,347.

The total amount paid by Larry as Social security tax can be found as;

= Maximum amount allowable for social security tax x Social security tax rate

The social security tax rate was 6.2% not 62.2%.

The social security tax was therefore:

= 118,500 x 6.2%

= $7,347

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Answer:

7

Step-by-step explanation:

Do the brackets first

X+8= 8x

X+8= 8x

then you plus 8x + 8x =16x

16x -9 =7x

Answer:

The answer is 50.

Step-by-step explanation:

Use MDAS

Multiplication, Division, Addition and Subtraction

2 + 6 * 8 =

Multiply first then add

2 + 6*8 = ?

= 2 + 48

= 50

The number of buttons on each card from Elaine's grandmother is given as follows:

7 buttons.

The number of buttons on each card is obtained applying the proportions in the context of this problem.

Elaine sorted the buttons into 6 piles, putting 8 buttons in each pile, hence the total number is given as follows:

6 x 8 = 48.

Elaine had 6 buttons, hence the number donated is given as follows:

48 - 6 = 42.

6 cards were donated, hence the number of buttons in each card is given as follows:

42/6 = 7.

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Answer:

1000 tiles

Step-by-step explanation:

Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.

Answer:

Yes, this is a Binomial distribution, and the number of trials is 10.

Step-by-step explanation:

From the given information:

We are being told that ten students are chosen from a statistics class of 22 students.

If X represents the random variable for the number of students who got an "A" in the class.

Then we have two possible outcomes;

Number of students that got an "A" = (Success)

Number of students that did not get an "A" = (Failure)

Thus,  this is a Binomial distribution because it consists of two outcomes, and the number of trials is 10.

Answer:

Step-by-step explanation:

By applying sine rule in the given triangle,

cos(25°) = \(\frac{\text{AC}}{AB}\)

cos(25°) = \(\frac{b}{400}\)

b = 400[cos(25°)]

b = 362.52

b = 363 ft

By applying sine rule in the given triangle,

sin(25°) = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

sin(25°) = \(\frac{a}{400}\)

a = 400[sin(25°)]

a = 169.05

a = 169 ft

m∠A + m∠B + m∠C = 180°

25° + m∠B + 90° = 180°

m∠B = 180° - 115°

m∠B = 65°

Answer: 40 cm.

Step-by-step explanation: Perimeter involves adding all the sides of a shape to get the perimeter.  So far, two sides of the scrapbook have been given, which are both 37 cm.  37 x 2 = 74, so that leaves us with two sides left, which are the lengths of the scrapbook.  The total perimeter is 154, so if we subtract 74 from 154, we get 80.  However, we have to split the 80 in half because we have two sides left.  Therefore, the scrapbook's length is 40 cm for one side.  I hope this isn't too confusing.

Have a great day! :)

Answer: (x+6)(x-3)

Step-by-step explanation:

y=x^2+3x-18

(x+6)(x-3 )

Answer: x=20

Step-by-step explanation:

When solving for a 5-sided pentagon we know the degrees add up to 540 degrees

Step 1: Write all variables given into an equation equal to 540 degrees

4x+5+7x+4x+10+6x+10+5x-5=540

I did not include the parenthesis because when I write out my equation they all share the same variable meaning they are like terms that can be combined.

Step 3: Combine like terms

26x+20=540

Step 4: Isolate the variable

By combining like terms like subtrating 20 to both sides. Always remember what you do to one side you must do to the other.

26x=540-20

Step 5:Continue to isolate the variable

26x=520

x=520/26

x=20

Final Answer

x=20 :) Hope that helped

Answer:

\( \boxed{ \bold{ {\boxed{ \sf{6 {c}^{2} {d}^{2} + 2 {c}^{2} d + cd}}}}}\)

Step-by-step explanation:

\( \sf{4 {c}^{2} d + 3dc - 2(d {c}^{2} + cd) + 6 {c}^{2} {d}^{2} }\)

Distribute 2 through the parentheses

\( \dashrightarrow{ \sf{4 {c}^{2} d + 3dc - 2d {c}^{2} - 2cd + 6 {c}^{2} {d}^{2} }}\)

Collect like terms

\( \dashrightarrow{ \sf{6 {c}^{2} {d}^{2} + 4 {c}^{2} d - 2d {c}^{2} + 3dc - 2cd}}\)

\( \dashrightarrow{ \sf{6 {c}^{2} {d}^{2} + 2 {c}^{2}d + cd }}\)

Hope I helped !

Best regards! :D

the answer is a on engenuity

Given

To find

Let the purchase value be P,

ATQ,

P -3 x 0.1P = Rs 43,740

P-0.3P = Rs 43,740

0.7P = Rs 43,740

P = Rs 43,740/0.7

P = Rs 62,486 (approx)

Hence, the purchase value of the machine would be Rs 62,486

Answer:

-8, 6, 0, 19/2, 5

Step-by-step explanation:

A rational number can be expressed in the form p/q, where p and q are integers and q is not 0.

-8 = -8/1

6 = 6/1

0 = 0/x

19/2 = 19/2

5 = 5/1

A,C,B,D,F,H are the rotations of the shape X given in the picture.

Rotations of shapes refer to the transformation of a shape around a fixed point called the center of rotation. This transformation involves rotating the shape by a certain angle while keeping the shape's size and shape consistent.

The angle of rotation determines how much the shape is rotated. It is measured in degrees or radians.

Properties of Rotations:

Rotations preserve the size and shape of the original shape.

Before and after the rotation, the distance between any two points on the shape and its centre of rotation remains constant.

The orientation of the shape may change, but its overall appearance remains unchanged.

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Answer:

Step-by-step explanation:

V = 3.9V

I = 0.12A

Ohm's Law, V = IR

Rearranging Ohm's Law, R = V/I

R = 3.9/0.12 = 32.5Ω

The percentage of data items that lie below the z-score of 3 is 99.87%.

In a normal distribution, the z-score represents the number of standard deviations a particular data point is away from the mean. The table provided gives the percentiles corresponding to different z-scores.

To find the percentage of data items that lie below a z-score of 3, we can look up the corresponding percentile in the table. In this case, the percentile for a z-score of 3 is given as 99.87%.

This means that approximately 99.87% of the data items in a normal distribution are below a z-score of 3.

Similarly, to find the percentage of data items that lie above a z-score of 3, we can subtract the percentage below the z-score from 100%. In this case, it would be 100% - 99.87% = 0.13%.

This means that approximately 0.13% of the data items in a normal distribution are above a z-score of 3.

Thus, these percentages indicate the relative position of the data points within the distribution. It provides a measure of how extreme or rare a particular value is in comparison to the rest of the distribution.

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