Which function is equivalent to F(x)=-4(x+7)^2-6?

Mathematics

1 answer:

Gemiola [76]3 years ago

7 0

$\huge\mathfrak\orange{answer}$

Simplify this quadratic function given in vertex form into standard form by simplifying the exponents and adding like terms.

$f(x) = \red{-4(x+7)^2 - 6}$

$f(x) = -4(x^2 + 14x + 49) - 6$

$f(x) = -4x² - 64x - 196 - 6$

$\underline{f(x) = -4x² - 64x - 202}$

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A paint machine dispenses dye into paint cans to create different shades of paint. The amount of dye dispensed into a can is kno

Reika [66]

Answer:

The 90th percentile of the distribution is 6.512 ml.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 6 milliliters (ml) and a standard deviation of 0.4 ml.

This means that $\mu = 6, \sigma = 0.4$