a petty cahs fund was established with a $360 balance. it currently has cash of $42 and petty cash tickets totaling $318.

A p-value less than 0.05 is significant because it indicates a correlation between two variables, and a low probability that the result is due to chance.

P-values are used in hypothesis testing to determine whether the results from the data analysis are statistically significant.

Generally, a p-value of less than 0.05 is accepted as indicating statistical significance, meaning that the results are likely not due to chance and are instead caused by an underlying relationship between the two variables.

This allows researchers to make inferences about the data and draw conclusions from it. Furthermore, the lower the p-value, the stronger the correlation between the two variables.

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Answer:

Sushil gets $219.

Step-by-step explanation:

With the information provided, you can write the following equations:

It says that £730 is divided between June, Sushil & Fiona, which can be expressed as:

x+y+z=730 (1), where:

x is the amount June gets

y is the amount Sushil gets

z is the amount Fiona gets

Also, the statement indicates that June gets twice as much as Sushil which means that the amount June gets is equal to two for the amount Sushil gets:

x=2y (2)

Besides, you know that Sushil gets three times as much as Fiona which means that the amount Sushil gets is equal to 3 for the amount Fiona gets:

y=3z (3)

Now, you can replace (3) in (1) and (2) and you will have 2 new equations:

x=2(3z)

x=6z (4)

x+3z+z=730

x+4z=730 (5)

You have the following equations:

x=6z (4)

x+4z=730(5)

Next, you can replace (4) in (5) and solve for z:

6z+4z=730

10z=730

z=730/10

z=73

Now, you can replace the value of z in (3):

y=3z

y=3(73)

y=219

Finally, you can replace the value of y in (2):

x=2y

x=2(219)

x=438

According to this, the answer is that Sushil gets $219.

9514 1404 393

Answer:

  3 : 2

Step-by-step explanation:

We notice that P is on the horizontal line segment AB, so we can find the ratio by looking at the x-coordinates only.

  AP : PB = (P -A) : (B -P)

  = (5 -2) : (7 -5) = 3 : 2

Answer:

90 miles per hour is the average speed.

Step-by-step explanation:

The formula for Average Speed can be given as follows:

\(\text{Average Speed}= \dfrac{\text{Total Distance Traveled}} {\text{Total Time Taken}}\)

Here time taken is from 1 PM to 4 PM i.e.

Total Time taken = (4-1) hours = 3 hours

Also, it is given that the Total distance covered = 270 miles

As per the formula above:

\(\text{Average Speed} = \dfrac{270}{3}\\\Rightarrow \text{Average Speed} = 90\ miles/hour\)

So, answer is: 270 miles/ hour is the average speed of the train from Philadelphia to Boston.

The validity of measurement or data refers to the accuracy of the measurement instrument or data-acquisition tool. The answer is option(e).

The constructive nature of perception is best described as the influence of expectations on sense-perception. The answer is option(a).

1) The validity of measurement or data refers to the accuracy of the measurement instrument or data-acquisition tool. It is a basic assessment of the instrument's accuracy, including whether it can properly and appropriately evaluate what it was intended to evaluate.

2) Our experiences can affect how we interpret sensory data, causing us to see things that aren't there or failing to see things that are. As a result, perception is a two-way street in which sensory input is combined with prior experiences to create our understanding of the world around us.

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The Probability that Robert randomly pulls out a black sock is 1/5  .

In the question ,

it is given that

Total number of socks in sock drawer = 30 socks

number of white socks in the drawer = 16 socks

number of black socks in the drawer = 6 socks

number of red socks in the drawer = 2 socks

number of yellow socks in the drawer = 6 socks

So , the probability that he randomly pulls out a black sock = (number of black socks in the drawer) / ( total number of socks in the drawer )

= 6 / 30

= 1/5

Therefore , The Probability that Robert randomly pulls out a black sock is 1/5  .

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Answer:

-9 and 89/100

Step-by-step explanation:

Answer:

- 9 89/100

Step-by-step explanation:

please don't quote me on that though ^^'

Answer: Advertisement?

Do I need an explanation? : Y e s  I  d o

The finite difference approximation for a Neumann boundary condition, \(\left(\frac{df}{dx}\right)\), at node \(n\) (right boundary) to \(O(h^2)\) is given by

\(\left(\frac{df}{dx}\right)_n \approx \frac{f_{n-2} - 4f_{n-1} + 3f_n}{2h}\),

where \(f_{n-2}\), \(f_{n-1}\), and \(f_n\) represent the function values at nodes \(n-2\), \(n-1\), and \(n\) respectively, and \(h\) represents the spacing between the nodes.

To derive this approximation, we start with the Taylor series expansion of \(f_{n-1}\) and \(f_n\) around \(x_n\):

\(f_{n-1} = f_n - hf'_n + \frac{h^2}{2}f''_n - \frac{h^3}{6}f'''_n + \mathcal{O}(h^4)\),

\(f_{n-2} = f_n - 2hf'_n + 2h^2f''_n - \frac{4h^3}{3}f'''_n + \mathcal{O}(h^4)\).

By subtracting \(4f_{n-1}\) and adding \(3f_n\) from the second equation, we eliminate the first-order derivative term and retain the second-order derivative term. Dividing the result by \(2h\) gives us the desired finite difference approximation to \(O(h^2)\).

In conclusion, the finite difference approximation for a Neumann boundary condition, \(\left(\frac{df}{dx}\right)\), at node \(n\) (right boundary) to \(O(h^2)\) is \(\left(\frac{df}{dx}\right)_n \approx \frac{f_{n-2} - 4f_{n-1} + 3f_n}{2h}\). This approximation is obtained by manipulating the Taylor series expansion of \(f_{n-1}\) and \(f_n\) to eliminate the first-order derivative term and retain the second-order derivative term, resulting in a second-order accurate approximation.

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We may build up a proportion and solve for the scale model radius of Neptune using the ratio between the radii of the two planets and the known scale model radius of the Earth. The scale model of Neptune that is produced has a radius of around 9.7 cm.

We may take advantage of the fact that the ratio between the two planets' radii and the ratio between their respective scale model radii is the same. Let's name the Neptune scale model radius "r" Then, we may set up the ratio shown below:

Neptune's radius is equal to the product of Earth's radius and its scale model.

With the provided values, we may simplify and obtain:

24620 km / 6370 km equals 2.5 cm / r

We obtain the following when solving for "r":

r = (24620 km * 2.5 cm) / (6370 km)

r ≈ 9.7 cm

Therefore, a scale model of Neptune would have to be drawn with a radius of approximately 9.7 cm.

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Answer:

27607.36 meters per hour

Step-by-step explanation:

400/52.16 = 7.66871165644

7.66871165644 meters per second

7.66871165644 × 60 = 460.122699386 meters per minute

460.122699386 * 60 = 27607.3619632 meters per hour

27607.3619632 meters per hour

Answer:

cap 1,8

miu

Step-by-step explanation:

Answer:

In one hour Stephanie earns $1.50 more than Marco

Step-by-step explanation:

w=9h

H is a variable

9×hour= wage

9×15= $135

9×18= $162

157.50-135=$22.50

189-162=$27

27-22.50=4.50

Now cause its per hour we know she earns $4.50 more in 3 hours.

4.50÷3=$1.50

The limit of f(x) as x approaches -2 from the left, denoted as lim_(x->-2^(-))f(x), is equal to 16.

To find the limit of f(x) as x approaches -2 from the left, we consider the behavior of the function as x approaches -2 from values less than -2.

Given that lim_(x->-2)f(x) = 16, it means that as x approaches -2 from any direction, the function approaches the value 16.

When we specifically consider the left-hand side limit as x approaches -2 (lim_(x->-2^(-))f(x)), it means we are only considering the values of x that are less than -2.

Since the limit from both sides approaches the same value, we can conclude that lim_(x->-2^(-))f(x) is also equal to 16.

In summary, the limit of the function f(x) as x approaches -2 from the left (lim_(x->-2^(-))f(x)) is 16, which is the same as the overall limit of the function as x approaches -2.

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Answer:

147

Step-by-step explanation:

10% of $210.00 is $21.00

21X3 = 63

210.00 - 63.00 = $147.00

In think that volume = 1,200 cubic units

Answer:

192

Step-by-step explanation:

Answer:

x=2/3y-6

Step-by-step explanation:

Let's solve for x.

3x=2y−18

Step 1: Divide both sides by 3.

3x/3=2y−18/3

x=2/3y−6

Answer:

The answer is

2^20 divided by 3^8

Step-by-step explanation:

If do still cant get it... solve both and compare.

Answer:

Here' a quick summary of the answers:

Question a: center =  (3, 2), scale = 9 / 20

Question b: center = (8, -1), scale = 3

Question c: center = (6, 4), scale = 3 / 2

Question d: center = (5, 3), scale = 2

Step-by-step explanation:

By "find the center of dilation", they're asking you to name the x/y point at which the image is scaled from.

The scale factor is the amount that the points are being scaled by to reach the "prime" of  them (noted by the apostrophe).  e.g., A would be the original point, and A' would be the transformed one.

To answer these, we'll need to pay careful attention to the coordinates in the graph.  To get the scale, you can simply look at the equivalent side on both triangles, and compare the lengths.

In question A for example, we can see the line AC is 10 units wide, and the equivalent line A'C' is 4.5 units wide.  This tells us that the triangle was scaled down by a factor of 4.5/10, or 9/20, or 45%

Finding out the center of dilation can be slightly more complicated. Note that there may be an easier way to do this that I am personally unaware of, but one way to do it would be to take the original and transformed versions of two points, e.g.  A and A', and B and B', and use those points to define lines.  We can then find where those lines intersect, and that tells us where the point of origin is.

Question A:

For example, in question A, the points A and A' are at (7, 4) and (5, 3) respectively.  Remember that the slope of a line is equal to rise over run.  In other words

s = (Ay - A'y) / (Ax - A'x)

s = (4 - 3) / (7 - 5)

s = 1/2, or 0.5

Now we can take that slope, and either of the the two points we used, and apply it to a point to define a line, using the formula Δy = sΔx

y - Ay = s(x - Ax)

y - 4 = 0.5(x - 7)

y = 0.5x - 3.5 + 4

y = 0.5x + 0.5

That gives us the line along which point A was translated when the triangle was scaled.  Now let's find the same for point B:

s = (By - B'y) / (Bx - B'x)

s = (1 - 0) / (4 - 5)

s = 1 / -1

s = -1

And apply that slope to build our line:

y - By = s(x - Bx)

y - 0 = -1(x - 5)

y = -x + 5

Now that we have two lines created, we can simply equate them, solving for x, which tells us the x location of the center of dilation.

Given:

y = -x + 5

and

y = 0.5x + 0.5

we can say:

-x + 5 = 0.5x + 0.5

-2x + 10 = x + 1

-3x = -9

x = 3

So the center of dilation has an x coordinate of 3.  To find it's y coordinate, we merely need to plug that into one of the line equations we already worked out:

y = -x + 5

y = -3 + 5

y = 2

So for question A the center of dilation is at (3, 2)

Question B:

This one is actually much easier, as we don't need to work out line equations to find the point of origin.  The thing to notice here is that A and A' have the same x coordinate, forming a vertical line.  Also B and B' have the same y coordinate, forming a horizontal line.  All we need then is to know where those lines intersect.  We can get that by taking the x coordinate of A and the y coordinate of B.

A lies at (8, 0), and B lies at (5, -1), so the center of dilation is (8, -1)

Using the same logic as above to find the scale, we get a scale of 3.  This is easiest by comparing |CA| with |C'A'|, the left sides of the triangles.  As you can see, that side is scaled up by a factor of 3.

Question C:

This one is far easier, as it is very obvious from the image that point A, at (6, 4) is the point of dilation.  Using the same technique as above we can see that the scale is  3/2, or 1.5

Question D:

Again much easier, as we can see that the point of origin is on the halfway point of the side CA, (5, 3).  Using the same method as above, we can see that the scale is 2.

The following set of equations can be used to represent this situation:

4b + 3c = 134

3b + 3c = 120

In this approach, b stands for the price per box of monochrome brochures, whereas c stands for the price per box of color  brochures.

Christian ordered two batches of brochures; the first equation shows the cost of the first batch, and the second equation shows the cost of the second batch.

The replacement approach can be used to solve this system. By focusing on just one side of the first equation, we may find the value of b:

4b = 134 - 3c

The second equation can therefore be changed to use this expression for b in place of b :

3(134 - 3c) + 3c = 120

This equation can be written as:

402 - 9c + 3c = 120

Combining related concepts gives us:

-6c = -282

When we multiply both sides by -6, we get:

c = 47

The value of b can then be determined by reintroducing this value into the first equation as follows:

4b = 134 - 3(47) (47)

If we simplify, we get:

4b = 134 - 141

This equation can be written as:

4b = -7

When we multiply both sides by 4, we get:

b = -1.75

As a result, the price each box of monochrome brochures is $-1.75, whereas the price per box of color brochures is $47.

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Answer:

3486784401 / 9^-6

Step-by-step explanation:

Hi!

(9^2)/(9^-8)

= 81/(9^-8)

= 81/1/43046721

Or

9^-6

Try both to see if they work. if they don't, hit me up in the comments

It is required to check if the point (5,-2) is a solution to the system of equations:

To do this, substitute the point into the equations and check if it satisfies both equations.

Substitute (x,y)=(5,-2) into the first equation:

Notice that the point satisfies the first equation.

Check for the second equation by substituting (x,y)=(5,-2) into the equation:

Notice that the point also satisfies the second equation.

It follows that the point (5,-2) is a solution to this system.

The answer is 'true'.

The value of \(${ }^5 \mathrm{C}_2$\) is 10.

The Combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter. In smaller cases, it is possible to count the number of combinations. Combination refers to the combination of n things taken k at a time without repetition. To refer to combinations in which repetition is allowed, the terms k-selection or k-combination with repetition are often used.

A combination is the choice of r things from a set of n things without replacement and where order does not matter.

Here We have to find. \(${ }^5 \mathrm{C}_2$\)

\(${ }^5 \mathrm{C}_2$\)\(=\frac{5 !}{2 ! \times(5-2) !}\)

\(${ }^5 \mathrm{C}_2$\)\(& =\frac{5 !}{3 ! \times 2 !}\)

\(${ }^5 \mathrm{C}_2$\)\(& =\frac{5 \times 4 \times 3 !}{2 \times 1 \times 3 !}\)

\(${ }^5 \mathrm{C}_2$\)\(& =5 \times 2\)

\(${ }^5 \mathrm{C}_2$\)\(=10\end{aligned}\)

Therefore, the exact number of \(${ }^5 \mathrm{C}_2$\) is 10.

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No, -1.234 is not a irrational number ,its rational number.

What is math with rational numbers?

-1.234 is  a rational number.

we write -1.234 into -1234/1000 form.

so this is in p/q form which is rational number form .

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