Let f(x) = 2x+4. If f(x) = 16, find x.

Mathematics

2 answers:

jeyben [28]3 years ago

8 0

$f(x)=2x+4$

And we are given that $f(x)=16$ and want to find the value of x. Set f(x) to 16 and we get the equation:

$2x+4=16$

Subtract both sides by 4

$2x=12$

Divide both sides by 2

$x=6$

This is the answer. Let me know if you need any clarifications, thanks!

Naily [24]3 years ago

8 0

Given-
f(x)=2x+4
f(x)=16
So,
=> 2x+4=16
Subtract 4 both both the sides
=>2x=12
=>x=12/2
=>x=6
So the Answer is x=6
Hope it helps you!

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0.2236 = 22.36% probability that the sample mean would be greater than 70.5 kilograms.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Also, important to remember that the standard deviation is the square root of the variance.

Normal probability distribution:

Problems of normally distributed samples are 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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$