what is the volume of a cube if the diagonal of one side is 5sqrt(2)
Must include diagram ​

a) If any values in the data set are greater than the upper boundary, then those values are the upper outliers.

b) If any values in the data set are less than the lower boundary, then those values are lower outliers.

The complete question is attached with an answer.

If a number in distribution is more than 1.5 times the length of the box away from either of the upper and lower quartile of the distribution, then that number is said to be an outlier.  

The lower quartile is  and the upper quartile of distribution is

Then lower boundary is given by [tex]=Q_1-1.5\times IQR[/tex]

The Upper boundary is given by  [tex]=Q_3+1.5\times IQR[/tex]

If any number or value of the distribution is greater than  [tex]=Q_3+1.5\times IQR[/tex]  then that is called Upper Outlier.

Similarly, if any value or number of the distribution is less than [tex]=Q_1-1.5\times IQR[/tex] then that is called Lower Outlier.

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Answer:

x = -9

Step-by-step explanation:

1/3x + 1 = -2

1/3x = -2-1

1/3x= -3

x = -3 * 3

x = -9

Hey there!

1/3x + 1 = -2

SUBTRACT 1 to BOTH SIDES

1/3x + 1 - 1 = -2 - 1

SIMPLIFY IT!

1/3x = -2 - 1

1/3x = -3

MULTIPLY 3 to BOTH SIDES

1/3x * -3 = -3 * 3

SIMPLIFY IT!
x = -3 * 3

x = -9

Therefore, your answer should be:

x = -9

Good luck on your assignment & enjoy day!

~Amphitrite1040:)

A one is 12

B is 25

just multiply by 6

Step-by-step explanation:

Answer:

a) 24cm²

b)150cm²

c)600m²

d)864mm²

e)294m²

f)486cm²

g)384mm²

h)1014cm²

Step-by-step explanation:

Find the area of the face, it's a cube so just multiply it by the length you have

2x2=4

It has 6 faces so multiply this by 6

6x4=24

The amount of metal needed to make the metal stud for the costume is 12 unit²

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that the meatal stud does not have a base, hence:

Amount of metal needed = sum of area of triangular faces = 4(1/2 * 2 * 3) = 12 unit²

The amount of metal needed to make the metal stud for the costume is 12 unit²

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The image is attached with answer

A quadrilateral is a polygon with four sides , four angles and four vertices.

It is given in the question that

Quadrilateral BGTS has vertices B (-3, 4), G (-1, 3), T (-1, 1), and S (-4, 2).

A graph has to be drawn of

its image after a translation along (5,0) and a reflection in the x-axis.​

The coordinates after translation and reflection is is B (8, -4), G (6, -3), T (6, -1), and S (7, -2).

The image is attached with the answer .

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Answer:

C

Step-by-step explanation:

mailing a check is the mechanical transport of a physical object representing a monetary amount for payment.

that act itself is not electronic.

at the end in today's times the final act to get the money from Elsa'a account into the account of the utility company will be most certainly electronic, but we don't know (it could still end up in the old fashioned way that somebody from the utility company goes with the check to their bank, cash that check in and then use that cash in some way). and Elsa would not be involved. for her the payment was manual, "mechanical", and not electronic.

Answer:

C

Step-by-step explanation:

It mentions Elsa mails a check. Although it is sent through mail, the means of payment is still a check, which is not a digital transaction.

Answer:

Where is the equation?

Step-by-step explanation:

And where are the options to select?

Using it's concept, it is found that the conditional probability of B given that A occurs first is of [tex]p = \frac{3}{10}[/tex].

A probability is given by the number of desired outcomes divided by the number of total outcomes.

When two dice are rolled, we have these 36 outcomes:

Of those, 30 involve a sum of less than 10, and of those 30, 9 involve a sum that is multiple of 3(either 3, 6 or 9), hence the probability is given by:

[tex]p = \frac{9}{30} = \frac{3}{10} = 0.3[/tex]

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Answer:

5/9

Step-by-step explanation:

20÷36

20/36

divide using 2

10/18

divide using 2

5/9

Answer:

[tex]d)~ \dfrac{20}{29}[/tex]

Step-by-step explanation:

[tex]\sin B = \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\~~~~~~~~=\dfrac{AC}{AB}\\\\~~~~~~~~=\dfrac{20}{29}[/tex]

Answer:

x = ± 10

Step-by-step explanation:

to solve the equation let y = 0 , that is

100 - x² = 0 ( add x² to both sides )

100 = x² ( take square root of both sides )

± [tex]\sqrt{100}[/tex] = x , that is

x = ± 10

Answer:

Step-by-step explanation:

We'll look for an equation with the form y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

A parallel line will have the same slope as the reference line, in this case it is 0, since y = -3 has no x term in it [y is independent of x].  The line we want will have the form y=b, since m is 0.  Put the given point, (-1,6) into this equation to find b:

y=b

6=b

The equation of a line parallel to y=-3 is y=6.

See attached plot.

Answer:

Given

Ab = 12

A+b = 7

As a + b = 7,

A and b must be less than 7

A =6

B =2

Ab = 12

6 x 2 = 12

6, 2 < 7

Step-by-step explanation:

Hope this helps

Answer:

168cmsqured

Step-by-step explanation:

as for me,15 acts as the lower part of the trapezium while 13 acts as the upper part of the trapezium .so since I know the measurements of the both sides I can easily calculate the area use using the formula indicated in the image.hope it helps

Answer:

A

Step-by-step explanation:

Well automatically we can eliminate B and D because they make no sense whatsoever. So that leaves us with A and C. A is telling us to find the mean so it has to be that one. So, with procces of elimination the answer has to be A. I know this because the owner needs to find an average to see how many bottles he will have sold daily. ;) Your very much welcome

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Answer: 30%

Step-by-step explanation:

percentage = (discount/total amount)

* 100= (8.40/28)*100=30%

When solving a problem, a tree diagram depicts the order in which events must be completed.

Tree diagrams are very effective in probability because they clearly and simply record all likely scenarios.

The attached Tree Diagram has been used to depict the problem that John is trying to solve.

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Answer:

A

Step-by-step explanation:

Answer:

[tex]2x^6y^2[/tex]

Step-by-step explanation:

Step 1: simplify integers in expression

[tex]\frac{12x^{9}y^{4}}{6x^{3}y^{2}} = \frac{2x^{9}y^{4}}{x^{3}y^{2}}[/tex]

Step 2: simplify x terms

[tex]\frac{2x^{9}y^{4}}{x^{3}y^{2}} = \frac{2x^{6}y^{4}}{y^{2}}[/tex]

Step 3: simplify y terms

[tex]\frac{2x^{6}y^{4}}{y^{2}} = 2x^6y^2[/tex]

Answer:

10 cards

Step-by-step explanation:

4% of 250 cards

(4/100) x 250 cards

10 cards ✔️

Step-by-step explanation:

v=fgtd (9809)=09843 ans that give 100

Answer:

Wavelength

Step-by-step explanation:

That distance is the wave length.

Answer: a. wavelength

Answer:

Approx. 606.02 cubic inches more.

Step-by-step explanation:

[tex]Volume=\pi *(\frac{diameter}{2})^2*height[/tex]

First, let's find the volume of the first cylinder (diameter=12, height=13).

[tex]V=\pi * (\frac{12}{2})^2 * 13\\V=\pi * (6)^2 * 13\\V=\pi * 36 * 13\\V=3.14*36*13\\V=113.04*13\\V=1469.52 in^3[/tex]

Now let's find the volume of the second cylinder (d=10, h=11).

[tex]V_{2}=\pi * (\frac{10}{2})^2*11\\V_{2}=\pi * (5)^2*11\\V_{2}=\pi * 25 * 11\\V_{2}=3.14*25*11\\V_{2}=78.5*11\\V_{2}=863.5in^3[/tex]

Lastly, we can subtract the volume of the second cylinder from the volume of the first cylinder.

This gets us a solution of 606.02 cubic inches.

Answer:

2x^3 y^18

Step-by-step explanation:

The power of a power (properties of exponents) was used in this problem. Hope this helps! :)

Answer:

[tex]2x^3 y^{18}[/tex]

Step-by-step explanation:

[tex]~~~\left( 8 x^9 y^{54} \right)^{\tfrac 13}\\\\=\left(2^3 x^9 y^{54} \right)^{\tfrac 13} \\\\=\left( 2^3 \right)^{\tfrac 13}\left( x^9 \right)^{\tfrac 13}\left( y^{54} \right)^{\tfrac 13}\\\\=2^{\tfrac 33} \cdot x^{\tfrac 93} \cdot y^{\tfrac{54}3}\\\\=2x^3 y^{18}[/tex]

Answer:

-23

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Well there is 6 there.... ad six and six more (2 layers more) for a total of 18

The probability that Wesley draws an ace or a jack is 0.154 and the probability that Wesley draws a number card or a black card is 0.846

In a standard deck of cards, we have:

Total = 52

Ace = 4

Jack = 4

Ace and Jack = 0

The probability is then calculated as:

P = P(Ace) +P(Jack) - P(Ace and Jack)

This gives

P = 4/52 + 4/52 - 0/52

Evaluate

P = 0.154

Hence, the probability that Wesley draws an ace or a jack is 0.154

In a standard deck of cards, we have:

Total = 52

Number card  = 36

Black = 26

Number card and Black = 18

The probability is then calculated as:

P = P(Number card) +P(Black card) - P(Both)

This gives

P = 36/52 + 26/52 - 18/52

Evaluate

P = 0.846

Hence, the probability that Wesley draws a number card or a black card is 0.846

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Answer: my guess is 4/13 and 11/13

Step-by-step explanation:

sorry if im wrong

Answer:

2

Step-by-step explanation:

4 x 12 = 6 x 4 x n

Which gives

48 = 24n

48/ 24 = n

so n = 2