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Dmitry_Shevchenko [17]
3 years ago
14

A random flip of a coin gives either a "head" or "tail", with equal probabilities. Consider an experiment where we repeatedly fl

ip a coin until we get a head. What is the probability that the first head occurs on the flip of the coin
Mathematics
2 answers:
Lynna [10]3 years ago
6 0

Answer:

50%

Step-by-step explanation:

A coin has two sides, so there are two outcomes.

The outcomes are of course, heads and tails.

The chance of landing on heads is 1/2. The chance of landing on tails is also 1/2.

Natali [406]3 years ago
4 0

Answer: Theoretically, 50 percent. But technically, if you flipped it a extremely large amount of times, the extremely slight weight difference would show.

Step-by-step explanation: 1/2 = two sides of the coins, only one can be landed on per flip, and assuming equal chances.

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Determine whether the two expressions are equivalent. If so, tell what property is applied.
Hoochie [10]

Answer:

I think its associative property but I am not sure.

Step-by-step explanation:

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What is the simplified value of the exponential expression 27 Superscript one-third? 1/3 1/9 3 9
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Answer:

3

Step-by-step explanation:

27^{\frac{1}{3} = \sqrt[3]{27}

∛27 = 3

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Dawn needs to pour 3 gallons of water into her fish tank. She only has a 1 cup measuring cup. How many cups of water should she
Sunny_sXe [5.5K]

So you know 1 gallon equals 16 cups

So you multiply 16 times 3 equals 48


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3 years ago
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Mckayla has 12 pounds of candy. She wants to put the candy into bags so that each bag had 1/6 pound of candy. How many total bag
Digiron [165]

Answer:

72 bags

Step-by-step explanation:

each pound is divided into 6. There are 12 pounds.

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6 0
2 years ago
The difference between the areas of the figures is less than 4.
coldgirl [10]

Answer:

1. |40 – 4x| < 4

2. 9 < x < 11

Step-by-step explanation:

We'll begin by calculating the area of each figure. This can be obtained as follow:

For triangle:

Area = ½ × base × height

Base = 8

Height = 6

Area =?

Area = ½ × 8 × 6

Area = 4 × 6

Area = 24

For Rectangle:

Area = length × breadth

Length = x – 4

Breadth = 4

Area =?

Area = (x – 4) × 4

Area = 4x – 16

Summary:

Area of triangle (Aₜ) = 24

Area of rectangle (Aᵣ) = 4x – 16

1. Writing an absolute value for the inequality.

From the question given above, we were told that the difference between the areas of the figures is less than 4. This can be written as:

Aₜ – Aᵣ < 4

Area of triangle (Aₜ) = 24

Area of rectangle (Aᵣ) = 4x – 16

24 – (4x – 16) < 4

Simplify

24 – (4x – 16) < 4

Clear bracket

24 – 4x + 16 < 4

24 + 16 – 4x < 4

40 – 4x < 4

Thus, we can write the absolute value for the above inequality as:

|40 – 4x| < 4

2. Determination of the solution of the inequality.

This is illustrated below:

|40 – 4x| < 4

Thus the above equation can be written as

– 4 < 40 – 4x < 4

Subtract 40 from both side

– 4 – 40 < 40 – 4x – 40 < 4 –40

– 44 < – 4x < – 36

Divide through by –4

– 44/–4 < x < – 36/–4

11 > x > 9

Note: the inequality sign changed because we divided by a negative number

Thus, 11 > x > 9 becomes 9 < x < 11

Therefore, the solution to the inequality is 9 < x < 11

3 0
3 years ago
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