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Mathematics

1 answer:

Leno4ka [110]2 years ago

4 0

Answer:

Hello,

Step-by-step explanation:

The parabole has (1,-4) as vertex and is passing trought (0,-1)

y=k*(x-1)²+4 and -1=k*(-1)²+4 ==> h=-5

y=-5(x-1)²+4=-5(x²-2x+1)+4 =<u> -5x²+10x-1</u>

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. If IQ scores are normally distributed with a mean of 100 and a standard deviation of 5, what is the probability that a person

bulgar [2K]

Answer:

2.28% probability that a person selected at random will have an IQ of 110 or greater

Step-by-step explanation:

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.

In this problem, we have that:

$\mu = 100, \sigma = 5$