write the following algebraically using x as your unknown “i think of a number, multiply it by 3, add 4 and square the result”

Mathematics

1 answer:

beks73 [17]2 years ago

6 0

Answer:

(3x +4)²

Step-by-step explanation:

I think of a number x, then i multiply it by 3, add 4 and square the result.

Representing this mathematically,

x * 3= 3x

Then add 4 which will be 3x + 4

Squaring the result would be (3x +4)².

So, if we give our unknown which is x the value of say, 3.

Substituting the value of x into that equation would be easy.

(3 (3) +4)²

= (9 + 4)²

= (11)²

=132.

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If a procedure meets all of the conditions of a binomial distribution except the number of trials is not fixed, then the geomet

morpeh [17]

Answer:

The probability is 0.0428

Step-by-step explanation:

First, let's remember that the binomial distribution is given by the formula:

$P(X=k) =\left[\begin{array}{ccc}n\\k\end{array}\right] p^{k}(1-p)^{n-k}$ where k is the number of successes in n trials and p is the probability of success.

However, the problem tells us that when there isn't a number of trials fixed, we can use the geometric distribution and the formula for getting the first success on the xth trial becomes:

$P(X=x) = p(1-p)^{x-1}\\$

The problem asks us to find the probability of the first success on the 4th trial (given that the first subject to be a universal blood donor will be the fourth person selected)

Using this formula with the parameters given, we have:

p = 0.05

x = 4

Substituting these parameters in the formula and solving it, we get:

$P(X=4) = 0.05(1-0.05)^{4-1}\\P(X=4) = 0.05 (0.95)^{3}\\P(X=4) = 0.05(.8573)\\P(X=4) = 0.0428$