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3 years ago

What is the probability of flipping a coin 10 times and getting heads four times Rania answer to the nearest 10th of a percent

Mathematics

1 answer:

EleoNora [17]3 years ago

4 0

Answer: 0.205

Step-by-step explanation:

The probability in one flip is equal to 0.5.

Now, if we do 10 flips, we want 4 times that the coin ends in heads and the other 6 times it must end in tails, so the probability is:

0.5^4*0.5^6 = 0.5^10

Now, this is the case where in the first 4 flips we get heads and in the other 6 we get tails, but we have other ways to get only 4 heads (for example in the last 4 flips, 2 at the beginning and 2 at the end, etc)

So we also need to calculate all the possible permutations of 4 heads in 10 flips. this is:

C = 10!/(10 - 4)!*4! = (10*9*8*7)/(4*3*2*1) = 210

So the probability that we are looking for is:

P = (0.5^10)*210 = 0.205

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Write an expression that means "the sum of six and the product of three and d"

kolezko [41]

Answer:

6+3d

Step-by-step explanation:

Sum would be adding 6 and a number, and product is 3 and d. So, it would be 6+3d.

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3 years ago

James is solving a number puzzle that involves three integers, a, b, and c, where c is a positive integer. The product of a and

m_a_m_a [10]

Given:

Three integers, a, b, and c, where c is a positive integer.

The product of a and b is 6.

The product of a and c is -4.

The product of b and c is -6.

To find:

The values of a,b and c.

Solution:

According to the given information:

$ab=6$ ...(i)

$ac=-4$ ...(ii)

$bc=-6$ ...(iii)

From (ii), we get

$a=-\dfrsc{4}{c}$ ...(iv)

From (iii), we get

$b=-\dfrsc{6}{c}$ ...(v)

Putting $a=-\dfrsc{4}{c}$ and $b=-\dfrsc{6}{c}$ in (i), we get

$\dfrac{-4}{c}\times \dfrac{-6}{c}=6$

$\dfrac{24}{c^2}=6$

$\dfrac{24}{6}=c^2$

$4=c^2$

Taking square root on both sides, we get

$\pm \sqrt{4}=c$

$\pm 2=c$

It is given that c is a positive integer. So, it cannot be negative and the only value of c is $c=2$ .

Putting $c=2$ in (iv), we get

$a=-\dfrsc{4}{2}$

$a=-2$

Putting $c=2$ in (v), we get

$b=-\dfrsc{6}{2}$

$b=-3$

Therefore, the values of a,b,c are $a=-2,b=-3,c=2$ .

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3 years ago

Your dog eats 7/8 lb of food in 4 meals , how many meals will it take your dog to eat 1 lb of food

blondinia [14]

Answer:

The dog needs eat 4.6 meals

Step-by-step explanation:

Due to:

7/8 lb ----> 4 meals

1 lb --------> X meals

X = [(1 lb)*(4 meals)] / [7/8 meals]

X = 4.6 meals

Best regards

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3 years ago

Simplify the expression (16-9)7/[(3+4)2]2

sergey [27]

It is 7, i am pretty sure.

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3 years ago

there are 45 new houses built. Last month 2/3 of them sold. This month, 1/5 of the remaining houses were sold. How many houses l

Nady [450]

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3 years ago