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3 years ago

10

A coin suspected to be unfair. It is flipped 100 times and is heads 77 times. What is the empirical probability that the coin wi

ll land heads.

1 answer:

maw [93]3 years ago

5 0

The answer is b.).0.77 I

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Help me out please?<br>chapter : exponents and powers

belka [17]

Answer:

$\frac{125}{27}$

Step-by-step explanation:

$\frac{2^{-4} \times 15^{-3} \times 625}{5^2 \times 10^{-4}}$

Lets expand all the composite numbers into prime numbers.

$=> \frac{2^{-4} \times (3^{-3} \times 5^{-3}) \times 5^4}{5^2 \times (2^{-4} \times 5^{-4})}$

Lets cancel $2^{-4}$ from numerator and denominator.

$=> \frac{3^{-3} \times 5^{-3} \times 5^4}{5^2 \times 5^{-4}}$

Using laws of exponents , lets solve this.

$=> \frac{3^{-3} \times 5^{(-3 + 4)}}{5^{( 2 - 4)}}$

$=> \frac{3^{-3} \times 5^{1}}{5^{-2}}$

$=> 3^{-3} \times 5^{[1 - (-2)]}$

$=> 3^{-3} \times 5^{3}$

$=> \frac{5^3}{3^3} = \frac{125}{27}$

4 0

3 years ago

Read 2 more answers

I️ have to use 15 as Y

statuscvo [17]

-1/5of 15 =-3 then add 3 2/5th which is 17/2 so -3+17/2 = 11/2=5 1/2

7 0

3 years ago

Pythagorean theorem

marta [7]

Answer:

x = 8

Step-by-step explanation:

$a^{2} +b^{2} =c^{2} \\$ so $8^{2} +b^{2} =\sqrt{80} ^{2}$

rearrange the formula:

$\sqrt{80} ^{2} - 8^{2} = b^{2}$

$80 - 64 = b^2$

$b^2 = 16\\$ $b = \sqrt{16}$

$\sqrt{16} = 4$

$x = 4+4 = 8$

7 0

3 years ago

Marisa's car gets an average of 28 miles per gallon of gas. She plans to drive 200 miles today and 220 miles tomorrow. How many

nadezda [96]

Answer:

15

Step-by-step explanation:

Add the total of miles Marisa is going to drive; 200 + 220 = 420

Next, divide the total miles by the average miles Marisa can travel on one gallon of gas; 420 / 28 = 15

(Hope this helps!)

5 0

3 years ago

Write the conversion factor for seconds to minutes. Use the factor to convert 135 seconds to minutes.

OverLord2011 [107]

Answer

Find out the conversion factor for seconds to minutes and convert 135 seconds to minutes.

To prove

1 minute = 60 second

for seconds to minutes.

$1 second = \frac{1}{60}\ minutes$

Therefore the conversion factor for seconds to minutes be

$= \frac{1}{60}\ minutes$

Now convert 135 seconds to minutes.

$= \frac{135\times 1}{60}$

= 2.25 minutes

Hence proved

4 0

3 years ago

Read 2 more answers