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2 years ago

What is the volume of the box if it is scaled down by a factor of 1/10

Mathematics

2 answers:

LenKa [72]2 years ago

8 0

Original volume=120=V
Change in volume=∆V=1/10

New volume

$\\ \tt\hookrightarrow V∆V=\dfrac{120}{10}=12$

Lina20 [59]2 years ago

6 0

Answer:

12 units³

Step-by-step explanation:

original volume of box = 120 units³

If the box if it is scaled down by a factor of 1/10, then we multiply the original volume by 1/10:

120 x (1/10) = 120 ÷ 10 = 12 units³

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Five distinct numbers are randomly distributed to players numbers 1 through 5. Whenever two playerscompare their numbers, the on

ad-work [718]

Answer:

Observe that the first and the second player have equal probability to get any of number. Using the principle of that symmetry, we have that

$P(X=0)=\frac{1}{2}$

Event X = 1 means that the first player has got greater number than the second player, but not than the third player. So, choose any three numbers out of five of them and say that the minimal number out of these three goes to the second player, mean number to the first one and the largest to the third one. Permute remaining two numbers on remaining two people. Hence

$P(X=1)=\frac{1}{6}$

Event X = 2 means that the first player has got greater number than the second and the third player, but not than the fourth player. So, choose any four numbers out of five of them and say that the minimal number and the next minimal out of these four go to the second and the third player (and permute them), third number to the first one and the largest to the fourth player. Give remaining number to the last person. Hence

$P(X=2)=\frac{1}{12}$

Event X = 3 means that the first player has got greater number than the second, the third, and the forth player, but not than the fifth player. So, permute these five numbers as follows: give the highest to the last person, the second highest to the first, and permute remaining numbers on the remaining people. Hence

$P(X=3)=\frac{1}{20}$

Event X = 4 means basically the first player has won all the battles i.e, he has got the greatest number. Hence

$P(X=4)=\frac{1}{5}$

7 0

3 years ago

which equation below represents the data in the table and PLEEEEASE show each and every step of how to solve I will make you the

kari74 [83]

The equation which represents the data in the table as in the task content is; Choice C; y = 2x +3.

<h3>What is the equation which represents the data in the table as attached?</h3>

It follows from the task content that the slope of the relation can be determined by means of the slope formula for a linear equation as follows;

Slope = (1-(-1))/(-1 -(-2))

Slope = 2.

Hence, the equation which represents the function is;

2 = (y-(-1))/(x -(-2))

2x + 4 = y +1

y = 2x + 3.

Therefore, the equation which represents the data in the table as in the task content is; Choice C; y = 2x +3.

Read more on equation of a table;

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#SPJ1

8 0

2 years ago

How do I solve this?

lakkis [162]

Answer:

$\large\boxed{4\sqrt{-81}+\sqrt{-25}=41i}$

Step-by-step explanation:

$i=\sqrt{-1}\\\\\sqrt{-81}=\sqrt{(81)(-1)}=\sqrt{81}\cdot\sqrt{-1}=9i\\\\\sqrt{-25}=\sqrt{(25)(-1)}=\sqrt{25}\cdot\sqrt{-1}=5i\\\\4\sqrt{-81}+\sqrt{-25}=4(9i)+5i=36i+5i=41i$

3 0

3 years ago

You’ve been asked to order cake for your school dance. Here’s a formula for the scenario: z=xa/y

olga nikolaevna [1]

Answer:

The number of cake for order is 15 cakes .

Step-by-step explanation:

Given as :

Total number of people to attend the dance = x = 60

The number of slices each person will eat = A = 2 slices

The number of slices per cake = y = 8 slices

Let The number of cake for order = z

Now, According to question

Total slices of cake required for 60 people when each people eat 2 slices = total number of people × number of slices each person will eat

i.e Total slices of cake required for 60 people when each people eat 2 slices = x × A

Or, Total slices of cake required for 60 people when each people eat 2 slices = 60 × 2 slices

Or,Total slices of cake required for 60 people when each people eat 2 slices = 120 slices

Again

∵ number of slices per cake = 8

∴ The number of cake for order = $\dfrac{\textrm Total slices of cake required for 60 people when each people eat 2 slices}{\textrm number of slices per cake }$

Or, z = $\frac{x\times A}{y}$

i.e z = $\frac{120}{8}$

∴ z = 15 cakes

So,The number of cake for order = z = 15 cakes

Hence,The number of cake for order is 15 cakes . Answer

7 0

3 years ago

Please solve and show work! Thanks!

Mrac [35]

Answer:

6⅔ minutes

Or, 6 minutes 40 seconds

Step-by-step explanation:

X/10 + X/20 = X/T

(2X+X)/20 = X/T

3X/20 = X/T

3/20 = 1/T

T = 20/3

T = 6⅔ mins

6 0

3 years ago