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andre [41]
3 years ago
8

A die is rolled. Match the events mentioned in the first column with their corresponding probability.

Mathematics
1 answer:
lakkis [162]3 years ago
4 0

Answer:

Step-by-step explanation:

a number greater than 5 - 1/6

a prime number - 1/2

a number greater than 4 - 1/3

a number less than 6 - 5/6

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What is 23.70 divided by 8.1 laid out
tester [92]

Answer:

2.925925926 or 2.9

Step-by-step explanation:

23.7/8.1

= 2.925925926 or approximately 2.9

3 0
3 years ago
4 2/5 * 10 using distributive property
White raven [17]

Answer:

44

Step-by-step explanation:

4 2/5=22/5

22/5*10=220/5=44

7 0
3 years ago
A box with a square base and open top must have a volume of 296352 c m 3 . We wish to find the dimensions of the box that minimi
mestny [16]

Answer:

  • Base Length of 84cm
  • Height of 42 cm.

Step-by-step explanation:

Given a box with a square base and an open top which must have a volume of 296352 cubic centimetre. We want to minimize the amount of material used.

Step 1:

Let the side length of the base =x

Let the height of the box =h

Since the box has a square base

Volume, V=x^2h=296352

h=\dfrac{296352}{x^2}

Surface Area of the box = Base Area + Area of 4 sides

A(x,h)=x^2+4xh\\$Substitute h=\dfrac{296352}{x^2}\\A(x)=x^2+4x\left(\dfrac{296352}{x^2}\right)\\A(x)=\dfrac{x^3+1185408}{x}

Step 2: Find the derivative of A(x)

If\:A(x)=\dfrac{x^3+1185408}{x}\\A'(x)=\dfrac{2x^3-1185408}{x^2}

Step 3: Set A'(x)=0 and solve for x

A'(x)=\dfrac{2x^3-1185408}{x^2}=0\\2x^3-1185408=0\\2x^3=1185408\\$Divide both sides by 2\\x^3=592704\\$Take the cube root of both sides\\x=\sqrt[3]{592704}\\x=84

Step 4: Verify that x=84 is a minimum value

We use the second derivative test

A''(x)=\dfrac{2x^3+2370816}{x^3}\\$When x=84$\\A''(x)=6

Since the second derivative is positive at x=84, then it is a minimum point.

Recall:

h=\dfrac{296352}{x^2}=\dfrac{296352}{84^2}=42

Therefore, the dimensions that minimizes the box surface area are:

  • Base Length of 84cm
  • Height of 42 cm.
5 0
3 years ago
Which graph has slope of 2
Vlad [161]

Answer:

D

Step-by-step explanation:

It would be D because the formula to find slope is y divide by x. Graph D has a y of 2 and a x of 1 which you divide to get 2 which would be your answer

6 0
3 years ago
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The basketball court is 94 feet long how many inches is the length of the court
Lana71 [14]

Answer:

1,128

Step-by-step explanation:

94 x 12 = 1,128

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8 0
3 years ago
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