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777dan777 [17]
3 years ago
8

What is the theoretical probability that a coin toss results in two heads showing?

Mathematics
1 answer:
myrzilka [38]3 years ago
8 0

Answer:

Very likely

Step-by-step explanation:

(1/2)x2=1

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Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by
11111nata11111 [884]

Answer:

The dimension of the open rectangular box is 8.216\times 4.216\times 1.392.

The volume of the box is 8.217 cubic inches.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the open rectangular box ?

Solution :

Let the height be 'x'.

The length of the box is '11-2x'.

The breadth of the box is '7-2x'.

The volume of the box is V=l\times b\times h

V=(11-2x)\times (7-2x)\times x

V=4x^3-36x^2+77x

Derivate w.r.t x,

V'(x)=4(3x^2)-2(36x)+77

V'(x)=12x^2-72x+77

The critical point when V'(x)=0

12x^2-72x+77=0

Solve by quadratic formula,

x=\frac{18+\sqrt{93}}{6},\frac{18-\sqrt{93}}{6}

x=4.607,1.392

Derivate again w.r.t x,

V''(x)=24x-72

Now, V''(4.607)=24(4.607)-72=38.568>0 (+ve)

V''(1.392)=24(1.392)-72=-38.592 (-ve)

So, there is maximum at x=1.392.

The length of the box is l=11-2x

l=11-2(1.392)=8.216

The breadth of the box is b=7-2x

b=7-2(1.392)=4.216

The height of the box is h=1.392.

The dimension of the open rectangular box is 8.216\times 4.216\times 1.392.

The volume of the box is V=l\times b\times h

V=8.216\times 4.216\times 1.392

V=48.217\ in.^3

The volume of the box is 8.217 cubic inches.

5 0
3 years ago
Which rule describes the translation?
max2010maxim [7]

Answer:

c

Step-by-step explanation:

translations assignment

4 0
3 years ago
Help soon please! I need to get done soon
Mekhanik [1.2K]

Answer:

Step-by-step explanation:

Two Decimal places

.9(29.3) = 26.37

18(5.75)= 103.50

Three Decimal places

3.21(2.4) = 7.704

50.7(14.06)= 712.842

Four Decimal places

4.2(.938)= 3.9396

.48(12.19)= 5.8512

8 0
3 years ago
A fair coin will be tossed 3 times. What is the probability that one heads and two tails in any order will result?
ad-work [718]

Answer:

2

Step-by-step explanation:

If you toss a fair coin three times, these are the possible results.

HHH

HHT

HTH

HTT   <--------- one Heads, two Tails

THH

THT   <--------- one Heads, two Tails

TTH

TTT

Answer: 2

6 0
3 years ago
Consider two events such that P(A) = 1/4 , P(B) = 2/3 , and P(A ∩ B) = 1/5 . Are events A and B independent events?
fredd [130]
P(A) = 1/4
p(B) = 2/3
p(A ∩ B) = 1/5
p(A).p(B) = 2/12 = 1/6 ≠p(A ∩ B )
thus no, they are dependent because P(A) ⋅ P(B) ≠ P(A ∩ B)
4 0
3 years ago
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