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lapo4ka [179]
3 years ago
5

When a balanced coin is flipped 10,000 times, find the lower bound of the probability that the proportion of heads obtained will

fall between 0.45 and 0.55.
Mathematics
1 answer:
neonofarm [45]3 years ago
6 0

Step-by-step explanation:

Given that

n= 10000, P= 1/2 or 0.5

Let us find mean and S.D.

mean μ= np

= 10000(0.5) = 5000

S.D. σ =√npq

= √(1000(1/2)(1/2))= 50

μ-kσ

5000-10(50)= 4500

μ+kσ

5000+10(50)= 5500

4500/10000= 0.45

and

5500/10000= 0.55

Applying Chebishev's inequality

P(|x-μ|<kσ)>_ 1-1/k^2

P(|x-5000|<500)>_ 1-1/100 = 0.99

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A 6 foot tall person casts a shadow 8ft long at the same time a building can cast a shadow 48 feet long how tall is the building
aliina [53]

Answer:

<em><u>36 feet</u></em>

Step-by-step explanation:

We can use the tall person's shadow as a ratio to help us witht his problem.

The ratio would be 6:8

Once we know how tall the shadow cast is, we can divide that by<em> 8</em> to be within the same ratio.

<u>48 / 8 = 6</u>

<u />

Then once we do that we multiply that by <em>6</em>

<u>6 x 6 = 36</u>

And there we go, that's the answer.

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3 years ago
If the total surface area of lidless cubical box is 90 cm square find the length of edge of the box​
nikdorinn [45]

Answer:

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Step-by-step explanation:

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Since squares are simply length^2 to get the area, square root this value to give you your answer for each side length of this box:

√18

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3 years ago
Extra points
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Answer:

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Step-by-step explanation:

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If you take 12.95 x 0.075 = 0.97125

Round the answerto the hundredth (0.97)

Add the tax, 12.95 + 0.97 = 13.92

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