The sampling distribution of the sample mean _____.
a. shows the distribution of all possible values of μ
b. is an unbiased estimator
c. is the probability distribution showing all possible values of the sample mean
d. is used as a point estimator of the population mean μ
.
The standard error of the proportion will become larger as _____.
a. p approaches 1
b. n increases
c. p approaches 0
d. p approaches .5

The value of integral , I = ₀∫¹⁰ f(x)dx where f(x) is function is sixty-eight.

A piecewise function is defined as a function built from pieces of different functions over different intervals. For example, take piecewise function f(x) where f(x) = 2 when x ≤ 1, f(x) = x when x>1. We have a function, f(x) defined by

f(x) = 6 when x<6

f(x) = x when x ≥ 6

We have to determine the value of following integral, ₀∫¹⁰f(x)dx . As see, the function f(x) has two different in between the [0,10]. So, the required integral divided into two different parts, with different limits of it,

I = ₀∫¹⁰f(x)dx = ₀∫⁶ f(x)dx + ₆∫¹⁰ f(x)dx

=> I = ₀∫⁶ 6dx + ₆∫¹⁰ x dx

=> I = [ 6x]⁶₀+ [ x²/2]¹⁰₆

=> I = [ 36 - 0 ] + [ (10)²/2 - (6)²/2]

=> I = 36 + 64/2 = 36 + 32

=> I = 68

So, required integral value is 68.

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Answer:

y = 2.5x + 22

Step-by-step explanation:

the two points are (4,32) and (8,42)

The slope would be

[tex]\frac{42 - 32}{8-4}[/tex] = [tex]\frac{10}{4}[/tex] = [tex]\frac{5}{2}[/tex] = 2.5

This is the slope.  She saves $2.50 per week.

the y-intercept is how much money she started with

Use one point.  I will us (4,32) and the slope (2.5)

y = 32

m = 2.5

x = 4

y = mx + b

32 = 2.5(4) + b

32 = 10 + b   Subtract 10 from both sides

22 = b

This is the y-intercept.  This is how much money she had in the beginning.

y =mx + b

y = 2.5x + 22

The theories of motivation include theories X and Y. Managers use these theories, which are highly dissimilar from one another, to inspire their staff. While theory Y places an emphasis on rewards and recognition, theory X places more significance on supervision.

Let’s understand the application of Theory X and Theory Y:

While Theory X emphasizes the necessity of increased monitoring, outside rewards, and penalties, Theory Y emphasizes the significance of job pleasure as a motivator and encourages employees to approach jobs without direct supervision.

An organization that applies theory X will also have an authoritarian management style. There is hardly much management delegation of power. Companies that adhere to Theory Y, on the other hand, use a more decentralized approach, which means that employees share in authority. They are motivated as a result. Under theory Y, a few fundamental presumptions exist. One of them is that workers take ownership of their activities and work independently to further the objectives of the company. The employees are more engaged and attempt to resolve issues without the assistance of managers. This management approach is more prevalent than hypothesis X. Even a minor employee can take part in the decision-making process under this sort of management. Theory X relies on the notion of penalizing individuals in order to maintain employment, whereas theory Y emphasizes promotions, prizes, and recognition as key components. This maintains staff motivation to put in a lot of effort toward the organization's goals.

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The graph on the right depicts the linear function y=2x.

Linear function graph is a straight line that depicts linear function y = f(x) = mx + k. It tells the dependent variable y changes by a constant amount as the independent variable x also changes by a constant amount. Whilst variable k is the y-intercept.

The slope of the graph, m, is determined by:

m = (y₂-y₁) / (x₂-x₁)

We are given two graphs. The left graph depicts the line y=x. We want to know what the right graph depicts.

Firstly, we pick two random points on the left graph to find the slope of the graph. Let's say we pick (1,2) and (5,10).

m = (y₂-y₁) / (x₂-x₁)

   = (10-2) / (5-1)

   = 8 / 4

   = 2

Then we find the y-intercept (k), the point where the graph intersects the y-axis. Its value is 0.

Now we put the value of m and k into the linear function:

y = f(x) = mx + k

           = 2x + 0

           = 2x

Thus, the graph on the right shows the line y=2x

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The total amount after 10 years would be $12968.71.

Compound interest is the interest paid on both principal and interest, compounded at regular intervals. At regular intervals, the interest so far accumulated is clubbed with the existing principal amount and then the interest is calculated for the new principal. The new principal is equal to the sum of the Initial principal, and the interest accumulated so far.

Compound Interest = Interest on Principal + Compounded Interest at Regular Intervals

The compound interest is calculated at regular intervals like annually(yearly), semi-annually, quarterly, monthly, etc; It is like, re-investing the interest income from an investment makes the money grow faster over time! It is exactly what the compound interest does to the money. Banks or any financial organization calculate the amount based on compound interest only.

Here,

P =  $5,000

r = 10% = 0.1

n = 1 (since the interest is compounded annually)

t = 10 years

The total amount after 10 years would be

[tex]A = P (1+ \frac{r}{n} )^{nt} \\A = 5000 (1 + \frac{0.1}{1}) ^{1*10}\\A = 5000 (1.1)^{10}\\A = 12968.71[/tex]

Thus, the total amount after 10 years would be $12968.71.

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The equation for the line containing the vertical right edge of the arch is f(x) = -x + H, where H is the height of the arch, calculated as H = f(-b/2a).

To calculate the equation, we need to find the height of the arch. To do this, we need to solve for the vertex of the parabola. The vertex of the parabola is the maximum point of the arch, and can be found by setting the derivative of the equation equal to zero (f'(x) = 0).

The equation for the parabola is given by f(x) = ax² + bx + c, where a, b, and c are constants. Taking the derivative of this equation, we get f'(x) = 2ax + b = 0. Solving for x, we get x = -b/2a.

Plugging this value of x into the original equation, we get the height of the arch: H = f(-b/2a).

Now that we have the height, we can calculate the equation for the line containing the vertical right edge of the arch: f(x) = -x + H.

The equation for the line containing the vertical right edge of the arch is f(x) = -x + H, where H is the height of the arch, calculated as H = f(-b/2a).

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The equation for the line containing the vertical right edge of the arch to be x = 60.

In this question we have been given that an arch is constructed with two vertical walls and parabolic arch top, where X represents the horizontal distance in feet and f(x) represents the height in feet.

Consider the following graph.

The y-axis represents the vertical left edge of the arch.

We need to complete the equation for the line containing the vertical, right edge of the arch.

From given graph we can observe that the left edge begins (0, 20).

This means, the right edge would also have y = 20.

The parabola passes y = 20 again at the point (60, 20).

i.e., the equation of the line representing the right edge: x = 60.

So, the equation for the required line : x = 60.

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Answer:

8 (sorry if i got it wrong)

Answer: You are already correct :)

Answer:

Option B:   [tex]x+4y[/tex]

Step-by-step explanation:

Given [tex]7x+5y-6x-y[/tex]

Lets simplify.

Subtract [tex]6x[/tex] from [tex]7x[/tex].

[tex]x+5y-y[/tex]

Subtract [tex]y[/tex] from [tex]5y[/tex].

[tex]x+4y[/tex]

Answer:  11w - 99

Step-by-step explanation:

(w-9) x 11 = (w)(11) - 9(11)

               = 11w - 99

The points of answers are given as following.

Unit rate is the amount of one quantity for a unit amount of the other quantity.

(a) The point (4, 6) represents that cost of buying 4 scoops of gelato is $6.

(b) Cost of buying 4 scoops of gelato = $6

Cost of buying 1 scoop of gelato = 6 / 4 = $1.5

So the unit rate is $1.5 per scoop.

(c) Cost of 12 scoops = 12 × 1.5 = $18

(d) We have two points so far (1, 1.5) and (4, 6)

Slope = (6 - 1.5) / (4 - 1) = 1.5

Slope is the inclination of the line of the graph.

If the unit rate = $1.75 per scoop, then the slope of the line changes to 1.75 instead of 1.5.

Hence it is solved.

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The answer to if there will be any ice cream left, given the amount of ice cream that Yasmine purchased and the pints to each guest, is no.

First, convert the amount of ice cream that Yasmine bought, to a decimal so that it can be worked on with more ease.

19 1 / 2 pints of ice cream :

= 19 + 1 / 2

= 19 + 0. 5

= 19. 5 pints

If each guest got 3 / 4 pints, then there would be some ice cream left if there is a remainder :

= 19 . 5 ÷ 3 / 4

= 19. 5 x 4 / 3

= 26 guests

There is therefore no ice cream left.

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Answer: -10v

Step-by-step explanation:

**in the attached file** :)

The polynomial is x²  + 5x + 4 = 0 which has the least degree two with roots -1 and -4.

Polynomial is an algebraic expression that has more than two terms. In other words, it is a combination of different variables with mathematical operations.

Given that,

The roots of the polynomial are -1 and -4,

And leading coefficient of the polynomial is 1.

There are, two roots of the polynomial, so the maximum degree can be equal to 2 or grater than 2.

Let the standard equation of the polynomial is,

ax² + bx + 1 = 0        (1)

Substitute x = -1 in equation (1),

a(-1)²  + b(-1) + 1 = 0

a - b + 1 = 0     (2)

Again substitute x = -4 in the equation (1),

a(-4)² b(-4) + 1 = 0

16a - 4b + 1 = 0    (3)

By solving equation (2) and (3),

The value of a is 1/4 and the value of b is 5/4.

So, the required polynomial,

1/4x²  + 5/4 x + 1 = 0

x²  + 5x + 4 = 0

Hence, x²  + 5x + 4 = 0 is the required polynomial.

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Answer:

[tex]-16[/tex]

Step-by-step explanation:

[tex]f(5)=4(5)-1=19 \\ \\ g(5)=2^5+3=35 \\ \\ (f-g)(5)=f(5)-g(5)=19-35=-16[/tex]

The quadratic equation y = x² - 4x - 5 have ordered points at (0, -5), (4, -5), (-2, 7) and (6, 7)

An equation is an expression composed of variables and numbers linked together by mathematical operations.

The standard form of a quadratic equation is:

y = ax² + bx + c

where a, b and c are constants

The degree of a quadratic equation is 2.

Given that:

y = x² - 4x - 5

When x = 0; y = (0)² - 4(0) - 5 = -5

When x = 4; y = (4)² - 4(4) - 5 = -5

When x = -2; y = (-2)² - 4(-2) - 5 = 7

When x = 6; y = (6)² - 4(6) - 5 = 7

The quadratic equation y = x² - 4x - 5 have a vertex at (2, -9)

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A. The functions are classified as follows:

B. The functions are defined as follows:

C. The value of each house after 25 years is given as follows:

There is a significant difference in the value of either house after 25 years, as exponential functions increase faster than linear functions, especially for larger input values.

A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant.

Hence the house 1 has the value function as an exponential function, as:

312,519.92/303,417.40 = 303,417.40/294580 = 1.03

The function is defined as follows:

f(x) = 294580(1.03)^x.

And the value of the home after 25 years is given as follows:

f(25) = 294580(1.03)^25 = $6176,785.

A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.

Hence the value of the house 2 is linear, as the rate of change each year is of $9,000.

The function is defined as follows:

f(x) = 295000 + 9000x.

The value after 25 years is given as follows:

f(25) = 295000 + 9000(25) = $520,000.

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Answer: -4

Step-by-step explanation:

-2+3-5=-4

I HOPE THIS HELPS!!!!

The tables that show a proportional relationship is are :

If every pair of data values is related in the same way, by multiplying by a factor, then the relationship is proportional. A proportionate relationship can be identified by looking at data, an equation, or a graph.

In Table 1, we can see a proportional relationship because the values of x are increasing by 1 while the values of y are increasing by 3.

Table 3 also shows a proportional relationship because the values of p are increasing by 2 while the values of q are also increasing by 2 at the same time.

For this same reason, Table 4 shows a proportional relationship with r increasing by 5 while s is increasing by 1.

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Therefore , the solution of the given problem of inequality comes out to be m = 3 and b=4.

An inequality in mathematics is a link between two equations or values when there is no equal sign. Therefore, imbalance comes before inequality. An inequality creates a relationship between two numerical values that are not equal. Inequality and equality are different. have utilized the most typical sign for when variables are not comparable, not equal (). No matter how little or large the values, different inequalities are used to contrast them. A number of fundamental inequalities can be resolved by changing the two sides until the variables are all that is left. Numerous things can lead to unevenness, such as: The addition or division of low numbers from both sides. You switch the left and side.

Here,

Given  :  0-3x < 4 y = 12

=> Linear : Solid or Dashed

=>  m = 3

and

b =4

thus,

Therefore , the solution of the given problem of inequality comes out to be

m = 3 and b=4.

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Yes, m∠ABC and m∠XYZ are congruent

No, lines FG and DE are not congruent

Yes, OR and OS are congruent

Yes, 2∠ and ∠4 are congruent.

Congruent angles are angles that have the same measure, in degrees and are often represented by the symbol "≅". While congruent line segments are two or more line segments that have the same length.

m∠XYZ = 180° - 140° {supplementary angles}

m∠XYZ = 40°

so;

m∠ABC and m∠XYZ are congruent

line FG = and line DE =

so;

FG and DE are not congruent

OR = 2in and OS = 2in

so;

OR and OS are congruent

∠2 and ∠4 are vertical angles and are equal so;

2∠ and ∠4 are congruent

Therefore, (m∠ABC and m∠XYZ), (2∠ and ∠4), and (OR and OS), are two pairs of angles and line segments respectively which are congruent, while the lines segments FG and DE are not congruent.

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The number of months, m, given the number of years, y is 12 years.

The Calendar in use today has 12 months every year. The length of the months is either 28, 29, 30, or 31 days. The 12 months of the Calender each have a length of 28 to 31 days. In a typical year, which has 365 days, each month has either 28, 30, or 31 days.

Months to Years Conversion. Divide the time by the conversion ratio to change the measurement from a month to a year. The months are equal to the years when split by 12.

12 months = 1 years

24 months = 2 years

36 months = 3 years

The number of months greater than the number of years

m= 12y

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The statement that correctly describes the graph is Scott pays his nephew $10 per hour, and he initially had $900 for extra labor. The correct option is c.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

From the graph, the two points are (0, 900) and (800, 10). Then the slope of the line is given as,

m = (900 - 800) / (0 - 10)

m = - 100 / 10

m = - 10 dollars per hour

Then the equation is given as,

y = - 10x + 900

Therefore, the correct option is C. Scott pays his nephew $10 per hour, and he initially had $900 for extra labor.

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Answer:

The height of the building is: 20.2 foot

Step-by-step explanation:

Using the Pythagorean theorem we can find another side of a right-angled triangle if two among three sides are given.

[tex]c = \sqrt{a^{2} + b^{2} }[/tex]

where a, and b are sides and c is the hypotenuse.

In our case base (b) is given and ladder length (c) is given, so the height of building (a) is :

[tex]a = \sqrt{c^2 - b^2}[/tex]

[tex]a = \sqrt{23^2 - 11^2}[/tex]

[tex]a = \sqrt{529-121} \\a = \sqrt{408}\\a = 20.199\\\\[/tex]

So the rounded answer of height is: 20.2 foot

The measure of each base angle of the isosceles triangle is given as follows:

80º.

An isosceles triangle is an angle that has two equal side lengths, meaning that the base angles also have the same measure.

For the top angle of the isosceles triangle ABC, we have that the semicircle, which has an arc length of 180º, is divided into 9 regions, hence it's measure is calculated as follows:

Top angle = 180º/9 = 20º.

For the base angles, each of them have the same measure, which we are going to call x.

The sum of the measures of the internal angles is of 180º, hence the value of x can be found as follows:

20 + 2x = 180

2x = 160

x = 160/2

x = 80º.

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dont take my word for it but,

The volume of a cylinder can be calculated using the formula:

V = x * r^2 * h

Where:

V is the volume of the cylinder

x is the value of pi (3.14 in this case)

r is the radius of the cylinder (half the diameter, so 2 feet in this case)

h is the height of the cylinder

Plugging in the values from the problem, we get:

V = 3.14 * 2^2 * 6

= 3.14 * 4 * 6

= 75.36 cubic feet

So the volume of the rainwater collection tank is 75.36 cubic feet. The answer is therefore 75.36 cubic feet (Option B).

Answer:

75. 36 ft²

Step-by-step explanation:

The volume of the cylinder can be calculated as:

base * height

the formula of base is:

πr²

find the radius by finding half the diameter: 4 ÷ 2 = 2 ft

π* 2² = 12.56 ft²

Then we calculate for the volume

12.56 * 6 = 75. 36 ft²

When Albert drew a rhombus in a coordinate plane, and three of its vertices are (5, 2), (7, 0),  (9, 2). the fourth point is (3, 0)

The length of  sides of a rhombus are equal, hence in an ordered pair the length of a side will be calculated using using the formula

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

where

d = distance between the points

x₂ and x₁ = points in x coordinates

y₂ and y₁ = points in y coordinates

distance between points  (5,, 2) and (9, 2) is calculated as follows

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

d =√{(5 - 9)² + (2 - 2)²}

d =√{16 + 0}

d = √16

d = 4 units

subtracting 4 units in (7, 0)

(7 - 4, 0)

(3, 0)

the fourth side of the rhombus is (3, 0)

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Answer:

0.91

Step-by-step explanation:

The overlapping grid space represents the product of 1.3 and 0.7

1.3 * 0.7

= 0.91

Answer:

D. 0.91

Step-by-step explanation:

The expression is 9 (3s) + 2 (-t) is solved to give a value of -82

The given expression 9(3s) + 2 (-t) in the problem is solved by substitution of the given values.

substitution involves replacing a quantity with another equivalent quantity aimed at maintaining a true equation.

The given values are :

9 * (3s) + 2 (-t)

s = 1/2

t = -3

substituting the given values we have:

= 9(3s) + 2 (-t)

= (9 * (3 * -3)) + 2 * (- 1/2)

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

= - 81 - 1

= -82

The solution of the equation is - 82

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Answer:

No- se p-ero quiero pun-tos

Step-by-step explanation:

por -favor :D