Translate the word phrase into a math expression.

Mathematics

2 answers:

nika2105 [10]3 years ago

8 0

Answer:

(4 * x) - 15

Step-by-step explanation:

"15 fewer" means "subtract 15" or - 15

"the product of 4 and a number":

Product is another word for "multiply".

A number is generally set as a variable, "x".

The product of 4 and a number means 4 * x, or 4x.

Set the equation:

4x - 15 is your answer.

Tju [1.3M]3 years ago

6 0

Answer:

4x-15 Rate me 5 stars if its correct

Step-by-step explanation:

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2.Assume that x is a binomial random variable with n=1000 and p=0.50. Use a normal approximation to find each of the following p

natima [27]

Answer:

a) 0.4761

b) 0.2118

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .