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GenaCL600 [577]
3 years ago
8

A coin is tossed and a standard number cube is rolled. What is the probability that the coin shows heads and the number cube sho

ws a number less than 2?
Mathematics
2 answers:
leva [86]3 years ago
3 0

Answer:

1/12

Step-by-step explanation:

coin toss: 1/2

cube roll: 1/6     (less than 2, only 1 one event)

1/2 x 1/6 = 1/12

Sergio [31]3 years ago
3 0

Answer:

the answer will be 1/2

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A cubical house can hold 4096m of air .find the height of the house​
iren2701 [21]

Answer:

16 m

Step-by-step explanation:

V = s^{3}

4096 = s^{3}

cube root of 4096 = 16

5 0
3 years ago
Can anyone help me ???
tia_tia [17]

1.57, divide two times pi (3.14)

3 0
2 years ago
If 30,000 cm2 of material is available to make a box with a square base and an open top, what is the largest possible volume (in
Cloud [144]

Answer:

The largest possible volume of the box is 2000000 cubic meters.

Step-by-step explanation:

The volume (V), in cubic centimeters, and surface area (A_{s}), in square centimeters, of the box with a square base are described below:

A_{s} = l^{2}+h\cdot l (1)

V = l^{2}\cdot h (2)

Where:

l - Side length of the base, in centimeters.

h - Height of the box, in centimeters.

By (2), we clear h within the formula:

h = \frac{V}{l^{2}}

And we apply in (1) and simplify the resulting expression:

A_{s} = l^{2}+ \frac{V}{l}

A_{s}\cdot l = l^{3}+V

V = A_{s}\cdot l -l^{3} (3)

Then, we find the first and second derivatives of this expression:

V' = A_{s}-3\cdot l^{2} (4)

V'' = -6\cdot l (5)

If V' = 0 and A_{s} = 30000\,cm^{2}, then we find the critical value of the side length of the base is:

30000-3\cdot l^{2} = 0

3\cdot l^{2} = 30000

l = 100\,cm

Then, we evaluate this result in the expression of the second derivative:

V'' = -600

By Second Derivative Test, we conclude that critical value leads to an absolute maximum. The maximum possible volume of the box is:

V = 30000\cdot l - l^{3}

V = 2000000\,cm^{3}

The largest possible volume of the box is 2000000 cubic meters.

4 0
2 years ago
QUICK If r+t = r and r−t = −s which of the following must be equal to t?
lord [1]

Answer:

Well t has to be zero, for r+t to equal r itself. so -s is equal to r, because it's r-0. Answer is C

5 0
2 years ago
The roof of a shack is drawn below (not to scale). What is the slope of the roof? ​
Natalka [10]

Answer:

2/3.......... :)

7 0
3 years ago
Read 2 more answers
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