Sqrt x-3+5=x ?? Help

Mathematics

1 answer:

kolezko [41]3 years ago

6 0

7 is a solution
4 is extraneous
The work is attached below

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A magazine has 120 pages. There are 28 full-page ads and 12 half-page ads. The rest of the magazine consists of articles.

Finger [1]

Answer:

120 = 28 + 12(½) + X

Where X is the no. of pages of articles

120 = 28 + 6 + X

X = 120 - 34

X = 86

4 0

3 years ago

Read 2 more answers

A financial talk show host claims to have a 55.3 % success rate in his investment recommendations. You collect some data over th

baherus [9]

Answer:

There is a 25.52% probability of observating 4 our fewer succesful recommendations.

Step-by-step explanation:

For each recommendation, there are only two possible outcomes. Either it was a success, or it was a failure. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

In this problem we have that:

$p = 0.553, n = 10$

If the claim is correct and the performance of recommendations is independent, what is the probability that you would have observed 4 or fewer successful:

This is

$P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$