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Fudgin [204]
3 years ago
14

You toss a fair coin 4 times. What is the probability that (round to 4 decimal places) a) you get all Heads? 0.0625 Correct b) y

ou get at least one Tail?
Mathematics
1 answer:
Andreas93 [3]3 years ago
8 0

Answer:

a) Probability (all heads)= 0.03125

b) Probability (atleast one tail)= 0.25

Step-by-step explanation:

Total possible ways 0f 4 flips= 2^4= 16

Probability of 4 flips=1/16 =0.0625

a) Probability P(heads only)

Using combination

(heads only)= 4!/4(4-0)!

(heads only)= 24/48= 1/2 =0.5

P(heads only)= 0.5× 0.0625= 0.03125

b) using combination

Atleast one tail= 4!/1(4-1)! = 4!/3!

At least one tail= 24/6 = 4

Probability (at least one tail) = 4× 0.0625= 0.25

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James will need 180 cubic feet of concrete. The concrete mix delivery truck driver wants the order in cubic yards. How many cubi
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The diameter of a circle if five times the length of a recatngle. The length of a rectangle is three times the width of the rect
Leno4ka [110]

Answer:

706.5 ft²

Step-by-step explanation:

A. Width of the rectangle

The formula for the area of a rectangle is

A = lw

But, l = 3w, so,

A = (3w)w

= 3w² = 12

      w² = 4         Divided each side by 3

      w   = 2 ft     Took the square root of each side

B. Length of rectangle

l = 3w = 6 ft

C. Diameter of circle

d = 5l = 5 × 6 = 30 ft

D. Radius of circle

d = 2r

r = d/2     Divided each side by 2

r = 30/2 = 15 ft

E. Area of circle

A = πr² = 3.14 × 15² = 3.14 × 225 = 706.5 ft²

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8 0
4 years ago
3(3u-2)=2(3u+3)<br> What is the steps
sattari [20]
Hopes this helps:

Answer: u = 4

1. Expand.
9u - 6 = 6u + 6


2. Add 6 to both sides.
9u = 6u + 6 + 6


3. Simplify 6u + 6 + 6 to 6u + 12.
9u = 6u + 12


4. Subtract 6u from both sides.
9u - 6u = 12


5. Simplify 9u - 6u to 3u.
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6. Divide both sides by 3.
u = 12/3


7. Simplify 12/3 to 4.
u = 4

6 0
3 years ago
I need help is it A B C or D hopefully a pic uploaded
Maurinko [17]
The answer i came up with is A.
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3 years ago
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