in order to determine whether or not there is a significant difference between the mean hourly wages paid by two companies (of the same industry), the following data have been accumulated. company a company b sample size 90 55 sample mean $15.75 $15.50 sample standard deviation $1.00 $0.95 find a point estimate for the difference between the two population means isSelect one:a.20.b..50.c..25.d.1.00.

Let the number be x

ATQ

\(\\ \sf\longmapsto 3x+2=18\)

\(\\ \sf\longmapsto 3x=18-2\)

\(\\ \sf\longmapsto 3x=16\)

\(\\ \sf\longmapsto x=\dfrac{16}{3}\)

\(\\ \sf\longmapsto x=5.3\)

\(\\ \sf\longmapsto x\approx 5\)

Answer: 36x-30

Step-by-step explanation:

6 times 6x is 36x and 6 times -5 is -30

Answer:

The answer is 36x – 30

Step-by-step explanation:

6(6x – 5)

6 × 6x – 6 × 5

36x – 30

Thus, The answer is 36x – 30

-TheUnknownScientist 72

Answer:

a

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

Using graphs,

The ordered pair, (6,15) represents here the cost of 6 pounds of noodles that is $15.

A structured representation of the data is all that the graph is. It assists us in comprehending the info. Data are the numerical details gathered by observation. Data is a derivative of the Latin term datum, which means "something provided."

Data is continuously gathered through observation once a research question has been formulated. After that, it is arranged, condensed, and categorised before being graphically portrayed.

Here in the question,

As we can see that the graph is a relation between the number of noodles in pounds and the cost of noodles in dollars has been given and compared.

So, as per the question,

The ordered pair that represents here the cost of 6 pounds of noodles is (6,15).

As, from the graph:

When noodles in pounds is 6, cost in dollars is 15.

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The complete question is:

the points on the graph show how much chee pays for different amounts of noodles, complete the statement about the graph

Answer:

No, Matt did not solve the equation correctly

Correct Answer: x = 8

Step-by-step explanation:

4(x + 2) = 30

Step 1: Distribute

4x + 2 = 30      \(=>\)     This is his mistake, he should completely distribute 4    

                                  to x and 2

Step 2: Subtract 2 from both sides/Isolate x

4x = 28           \(=>\)      This part is done correctly, but wrong because of Step 1

Step 3: Divide both sides by 4

x = 7                \(=>\)      This is correct, but again, he messed up on Step 1

Step 1: Distribute

Remember to distribute 4 to all terms in the parenthesis.

4(x + 2) = 4(x) + 4(2)

            = 4x + 8

4x + 8 = 30

Step 2: Subtract 8 from both sides/Isolate x

Move all the terms that do not belong to x to the other side. We can do this by subtracting 8 from both sides  \(=>\) (opposite operation of adding 8)

4x + 8 = 30

4x = 30 - 8

4x = 32

Step 3: Divide both sides by 4/Isolate x

Now we want x by itself. Since x is being multiplied by 4, we have to use the opposite operation, dividing by 4, to have x on one side by itself

4x = 32

4(x) = 32

x = 32 ÷ 4

x = 8

-Chetan K

To find the intercepts of a circle in standard form, you need to consider the equation of the circle, which can be represented as:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.

The intercepts of the circle occur when the value of x or y is equal to the radius. In other words, the intercepts are the points where the circle intersects the x-axis and the y-axis.

To find the x-intercepts, set y = 0 in the equation of the circle and solve for x:

(x - h)^2 + (0 - k)^2 = r^2

(x - h)^2 + k^2 = r^2

Solve this equation for x. You may have two x-intercepts if the circle intersects the x-axis at two different points, or you may have no x-intercepts if the circle does not intersect the x-axis.

To find the y-intercepts, set x = 0 in the equation of the circle and solve for y:

(0 - h)^2 + (y - k)^2 = r^2

h^2 + (y - k)^2 = r^2

Solve this equation for y. Similarly, you may have two y-intercepts, one y-intercept, or no y-intercepts, depending on the circle's position relative to the y-axis.

By solving these equations, you can determine the x and y intercepts of the circle in standard form.

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Laplace transformation is a mathematical technique used to convert a given equation in the time domain into an equivalent equation in the frequency domain

. By using Laplace transformation, we can simplify and solve differential equations by converting them into algebraic equations. To prove

L{sin2t} = 2 S²+4, we can follow these steps:

The Laplace transformation of sin2t is given as L{sin2t} = 2/(s² + 4)

To verify this, we can use the following steps:

Convert sin2t into a complex exponential form. sin2t = \((e^(2it) - e^(-2it))/2\)

Take the Laplace transformation of the above equation. \(L{sin2t} = L{(e^(2it) - e^(-2it))/2}\)

Simplify the above equation by using linearity. L{sin2t} = \((1/2)L{e^(2it)} - (1/2)L{e^(-2it)}\)

Apply the Laplace transformation formula for the exponential function.\(L{e^at}\)= 1/(s - a)

Substitute the value of a with 2i and -2i respectively. L{sin2t} = (1/2)(1/(s - 2i)) - (1/2)(1/(s + 2i))

Simplify the above equation by finding the common denominator.

L{sin2t} = (1/2)((s + 2i) - (s - 2i))/((s + 2i)(s - 2i))

L{sin2t} = (1/2)(4i)/(s² + 4)

Simplify the above equation further. L{sin2t} = 2/(s² + 4)

Hence, L{sin2t} = 2/(s² + 4), which verifies the equation L{sin2t} = 2 S²+4

Therefore, we can conclude that L{sin2t} = 2 S²+4.

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Answer: 120 miles

Step-by-step explanation:

In one hour you travel 60 miles

In 2 hours you travel 120 miles

Hope this helps!

Answer:

\(l = \frac{S}{\pi r} - r\)

Step-by-step explanation:

Given the surface area of a cone expressed as S = \(\pi r^{2} +\pi rl\) where r is the radius of the cone and 'l' is its slant height. To find the slant height from the formula, we will make l the subject of the formula as shown;

\(S = \pi r^{2} + \pi rl\\S = \pi r (r + l)\\\frac{S}{\pi r} = r+l\\l = \frac{S}{\pi r} - r\\\)

The final expression gives the value of the slant height.

Answer: l=s/3.14-r2

Step-by-step explanation:

did it on Edg and the 3.14 i’d supposed to be the symbol for pi hope it helps :)

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    f*(x)-(-x^2-3*x)=0  

STEP

1

:

STEP

2

:

Pulling out like terms

2.1     Pull out like factors :

  fx + x2 + 3x  =   x • (f + x + 3)  

Equation at the end of step

2

:

 x • (f + x + 3)  = 0  

STEP

3

:

Theory - Roots of a product

3.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

3.2      Solve  :    x = 0  

 Solution is  x = 0

Equation of a Straight Line

3.3     Solve   f+x+3  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  f+x+3  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of f is -3/1 so this line "cuts" the f axis at f=-3.00000

 f-intercept = -3/1  = -3.00000  

Calculate the X-Intercept :

When f = 0 the value of x is -3/1 Our line therefore "cuts" the x axis at x=-3.00000

 x-intercept = -3/1  = -3.00000  

Calculate the Slope :

Slope is defined as the change in f divided by the change in x. We note that for x=0, the value of f is -3.000 and for x=2.000, the value of f is -5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.000 - (-3.000) = -2.000 in f. (The change in f is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -2.000/2.000 = -1.000  

Geometric figure: Straight Line

 Slope = -2.000/2.000 = -1.000

 x-intercept = -3/1 = -3.00000

 f-intercept = -3/1 = -3.00000

x = 0

Answer:

t= -2.5

Step-by-step explanation:

2t−5=−10

add 5 to both sides

2t= -5

divide by 2

t= -2.5

False. Cronbach's alpha is a measure of internal consistency reliability, not a measure of the correlation between scale items.

It assesses the extent to which the items in a scale or questionnaire are measuring the same underlying construct.

Cronbach's alpha is calculated based on the inter-item correlations among the items in a scale. It provides a measure of the average correlation between all possible pairs of items in the scale. The range of Cronbach's alpha is between 0 and 1, with higher values indicating greater internal consistency or reliability.

Essentially, Cronbach's alpha quantifies the extent to which the items in a scale are consistently measuring the same construct or concept. It assesses how well the items "hang together" as a reliable measurement tool.

While correlation between scale items is related to internal consistency, Cronbach's alpha specifically measures the degree to which the items are interrelated and provides a single coefficient that reflects the overall reliability of the scale. It does not directly indicate the extent of item-item correlations or the strength of individual item contributions to the scale.

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The two mold populations are equal after 4.5 years and the number of days is 9.2

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have the point of intersection to be

(x, y) = (4.5, 3)

The means that the two mold populations are equal after 4.5 years

Given that

A(d) = 100e⁰.²⁵ᵇ

We have

100e⁰.²⁵ᵇ = 1000

Divide by 100

e⁰.²⁵ᵇ = 10

So, we have

0.25d = ln(10)

Evaluate

0.25d = 2.3

Divide

d = 9.2

Hence, the number of days is 9.2

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17. The point on the line 2x - 4y = 3 that is closest to the origin is (-3/10, 3/20).

To solve this problem using Lagrange multipliers, we can define the distance squared function as D² = x² + y², which represents the square of the distance from any point (x, y) to the origin. The constraint equation is given by 2x - 4y = 3.

We set up the Lagrange function L = D² - λ(2x - 4y - 3), where λ is the Lagrange multiplier. To find the minimum of L, we take partial derivatives with respect to x, y, and λ and set them equal to zero:

∂L/∂x = 2x - 2λ = 0

∂L/∂y = 2y + 4λ = 0

∂L/∂λ = 2x - 4y - 3 = 0

Solving this system of equations gives x = -3/10, y = 3/20, and λ = -1/20.

Thus, the point on the line closest to the origin is (-3/10, 3/20).

To find the point on the line closest to the origin, we need to minimize the distance between any point on the line and the origin. This can be done by minimizing the distance squared function D² = x² + y².

However, we have a constraint given by the equation of the line 2x - 4y = 3.

By introducing the Lagrange multiplier λ, we create a Lagrange function L = D² - λ(2x - 4y - 3). Taking the partial derivatives and setting them equal to zero, we find the critical point that minimizes the Lagrangian function.

Solving the resulting system of equations gives us the coordinates of the point on the line closest to the origin.

In this case, the point is (-3/10, 3/20).

18. The point on the line y = 2x + 3 that is closest to (4,2) is (2, 7).

To solve this problem using Lagrange multipliers, we can define the distance squared function as D² = (x - 4)² + (y - 2)², which represents the square of the distance from any point (x, y) to (4, 2). The equation of the line is y = 2x + 3.

We set up the Lagrange function L = D² - λ(y - 2 - 2x - 3), where λ is the Lagrange multiplier. To find the minimum of L, we take partial derivatives with respect to x, y, and λ and set them equal to zero:

∂L/∂x = 2(x - 4) - 2λ = 0

∂L/∂y = 2(y - 2) - λ = 0

∂L/∂λ = y - 2x - 3 = 0

Solving this system of equations gives x = 2, y = 7, and λ = -2. Thus, the point on the line closest to (4, 2) is (2, 7).

To find the point on the line closest to the given point (4, 2), we need to minimize the distance between any point on the line and (4, 2).

This can be done by minimizing the distance squared function D² = (x - 4)² + (y - 2)².

The equation of the line y = 2x + 3 serves as the constraint. By introducing the Lagrange multiplier λ, we create a Lagrange function L = D² - λ(y - 2 - 2x - 3).

Taking the partial derivatives and setting them equal to zero, we find the critical point that minimizes the Lagrange function.

Solving the resulting system of equations gives us the coordinates of the point on the line closest to (4, 2). In this case, the point is (2, 7).

20. The point on the plane 4x + 3y + z = 2 that is closest to (1,-1,1) is (2/7, -4/7, 2/7).

To solve this problem using Lagrange multipliers, we can define the distance squared function as D² = (x - 1)² + (y + 1)² + (z - 1)², which represents the square of the distance from any point (x, y, z) to (1,-1,1). The equation of the plane is 4x + 3y + z = 2.

We set up the Lagrange function L = D² - λ(4x + 3y + z - 2), where λ is the Lagrange multiplier. To find the minimum of L, we take partial derivatives with respect to x, y, z, and λ and set them equal to zero:

∂L/∂x = 2(x - 1) - 4λ = 0

∂L/∂y = 2(y + 1) - 3λ = 0

∂L/∂z = 2(z - 1) - λ = 0

∂L/∂λ = 4x + 3y + z - 2 = 0

Solving this system of equations gives x = 2/7, y = -4/7, z = 2/7, and λ = 1/7. Thus, the point on the plane closest to (1,-1,1) is (2/7, -4/7, 2/7).

To find the point on the plane closest to the given point (1,-1,1), we need to minimize the distance between any point on the plane and (1,-1,1).

This can be done by minimizing the distance squared function D² = (x - 1)² + (y + 1)² + (z - 1)².

The equation of the plane 4x + 3y + z = 2 serves as the constraint. By introducing the Lagrange multiplier λ, we create a Lagrange function L = D² - λ(4x + 3y + z - 2).

Taking the partial derivatives and setting them equal to zero, we find the critical point that minimizes the Lagrange function.

Solving the resulting system of equations gives us the coordinates of the point on the plane closest to (1,-1,1). In this case, the point is (2/7, -4/7, 2/7).

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Hello!

2x² + 5x - 12

= (2x² + 8x) + (-3x - 12)

= 2x(x + 4) - 3(x + 4)

= (2x -3)(x + 4)

Answer:

\(\Huge \boxed{(2x - 3)(x + 4) }\)

Step-by-step explanation:

Step 1:

Multiply the coefficient of the \(x^2\) term (which is 2) by the constant term (which is -12):

Step 2:

Find two factors of -24 that add up to the coefficient of the \(x\) term (which is 5):

-3 and 8

Step 3:

Rewrite the middle term (5x) as the sum of the two terms found in step 2 (which are -3x and 8x):

Step 4:

Group the terms into two pairs, and factor out the greatest common factor from each pair:

Notice that both terms now have a common factor of \((2x - 3)\):

Therefore, the factorisation of \(2x^2 + 5x - 12\) is:

________________________________________________________

Answer: 0.8(.50)^t/5

Step-by-step explanation:

P(t)= p^0(1+-r)^t

0.8= initial mass

.50= 100/2-> halving

t/5= how many times for every 5 days

Answer

.16/.03220 is 4.96894409938   rounded= 5.0

Step-by-step explanation:

Answer:

1/2x + 18 = 11 - 3x

Step-by-step explanation:

x = -2

Answer:

-$180

After 3 withdrawals of $60:

-60 × 3 --- 60 less dollars every one of 3 withdrawals

-180 --- simplify

-$180

hope this helps and brainliest?

All of the statements are true.

hope this helps.

The triangle is a right triangle, and the length of segment BD is 16.30

Start by calculating the length CD using the following Pythagoras theorem

\(CD = \sqrt{28.9^2 - 24.2^2}\)

Evaluate

\(CD = \sqrt{249.57}\)

Take the square of both sides

CD^2 = 249.57

The length BD using the following Pythagoras theorem

\(BD = \sqrt{CB^2 - CD^2}\)

So, we have:

\(BD = \sqrt{22.7^2 - 249.57}\)

Evaluate

\(BD = \sqrt{265.72}\)

Evaluate the square root

BD = 16.30

Hence, the length of segment BD is 16.30

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Answer:

yes, they will be able to make at least 10 arrangements using each type of flower

no, they will not be able to make 100 arrangements using each type of flower.

Step-by-step explanation:

Explain your thinking: The shop makes arrangements with only the same type of flower. We know that each arrangement requires 36 flowers. By analyzing the data, we can see how many arrangements they can make based on each flower type.

There are 580 tulips - and we need 36 per arrangement

580/36= 16 arrangements of tulips

There are 2,410 daisies

2410/36= 66 arrangements of daisies

There are 4,000 carnations

4,000/36= 111 arrangements of carnations.

Since there are at least 10 arrangements per set of flowers, the first statement is true (we CAN make at least 10 arrangements using each type of flower)

Since there is only 16 arrangements for tulips and 66 for daisies, we CANNOT have at least 100 arrangements per flower type

The empirical probability of drawing the cards will be 6 / 55.

The ratio of the number of outcomes in which a defined event occurs to the total number of trials, not in a theoretical sample space but in a real experiment, is the empirical probability, relative frequency, or experimental probability of an event.

Given that a card is drawn one at a time from a well-shuffled deck of 52 cards. In 13 repetitions of this experiment, 1 king is drawn.

The number of kings in a well-shuffled deck consists of 52 cards which is 4.

The number of ways of drawing consists of 4 kings in 13 repetitions which is ¹³C₄.

In 13 repetitions, 2 kings are drawn by ¹³C₂ ways,

The empirical probability will be calculated as,

P(E) = ¹³C₂ / ¹³C₄

P(E) = [ (13!) / (13-2)! ] ÷ [ (13!) / ( 13-4)!(4!) ]

P(E) = ( 4 x 3 ) / ( 11 x 10)

P(E) = 6 / 55

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The equation that describe the relationship of the graph is given by y = 0.5x

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Let x represent the profit of the company and y represent what the company owns. The graph passes through (0, 0) and (5, 2.5), hence:

y - 0 = [(2.5 - 0)/(5 - 0)](x - 0)

y = 0.5x

The equation that describe the relationship of the graph is given by y = 0.5x

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The predicted values of A, B, C, and D are: A = 595B = -0.5C = 600D = $6350, therefore, the correct option is IC.

Given,

Mean of X = 600

Standard deviation of X = 10

Mean of Y = $5000

Standard deviation of Y = 1000

Correlation r= 0.9

Future value of X = 595

Z score of X = (X- Mean of X) / Standard deviation of X= (595-600) / 10 = -0.5

Using the formula, Predicted y = average of y+ r* (Z score of X)* standard deviation of y

Predicted y = $5000 + 0.9 * (-0.5) * 1000 = $4750

The predicted value of Y for X = 595 is $4750.

Now, to find the values of A, B, C, and D; we need to calculate the Z score of X = 615 and find the corresponding predicted value of Y.

Z score of X = (X- Mean of X) / Standard deviation of X= (615-600) / 10 = 1.5

Predicted y = average of y+ r* (Z score of X)* standard deviation of y

Predicted y = $5000 + 0.9 * (1.5) * 1000 = $6350

The predicted value of Y for X = 615 is $6350.

Hence, the values of A, B, C, and D are: A = 595B = -0.5C = 600D = $6350

Therefore, the correct option is IC.

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Provides a means by which a population of motor neurons can maintain constant force over a finite time interval.

What is the term that refers to a motor neuron and all of the muscle fibers it causes to contract when it fires?

What controls the motor neuron?

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The difference of 30000 and 6985 using compensation is 23015

The method of compensation refers to calculating mentally without any paper work.

Here, we are asked to find the difference of 30000 and 6985 which are comparatively large numbers. Everyone would prefer using pen and paper to calculate this. But we can do this by compensation within a few steps.

So the final answer is 23015.

i.e., 30000-6985 = 23015

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