8а-(1+5a)=4(За –11)-20

Mathematics

1 answer:

lisabon 2012 [21]2 years ago

4 0

Answer:a= -21

Step-by-step explanation:

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Suppose that an experiment consists of flipping a coin 3 times and observing the resulting sequence of heads and tails. Find the

ki77a [65]

Using the binomial distribution, it is found that there is a 0.125 = 12.5% probability of observing exactly 3 tails.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem, considering 3 tosses of a fair coin, the parameters are n = 3 and p = 0.5.

The probability of 3 tails is P(X = 3), hence:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{3,3}.(0.5)^{3}.(0.5)^{0} = 0.125$

0.125 = 12.5% probability of observing exactly 3 tails.

More can be learned about the binomial distribution at brainly.com/question/24863377

3 0

1 year ago

The perimeter of a rectangular piece of plastic is 14 millimeters. The piece of plastic is 3 millimeters tall. How wide is it?

laiz [17]

It gives the perimeter of 14 mm and if it is 3 mm tall, times that by 2 to get 6 for the total of both side then subtract 6 from 14 and you get 8 and then divide that by 2

Answer is 4 mm wide for the two sides

7 0

2 years ago

Multiply 2(x+3)/x(x-1)*4x(x+2)/10(x+3)

KIM [24]

Answer:

The expression simplifies to $\frac{4(x+2)}{5(x-1)}$ .

Step-by-step explanation:

The expression

$\frac{2(x+3)}{x(x-1)} *\frac{4x(x+2)}{10(x+3)}$

can be rearranged and written as

$\frac{8x(x+3)(x+2)}{10x(x-1)(x+3)}.$

In this form the $(x+3)$ terms in the numerator and in the denominator cancel to give

$\frac{8x(x+2)}{10x(x-1)}.$

The $x's$ are present both in the numerator and in the denominator, so they also cancel, and the fraction $\frac{8}{10}$ simplifies to $\frac{4}{5}$ , so finally our expression becomes: